Cubic critical

Time bar (total: 11.6s)

analyze130.0ms (1.1%)

Memory
-1.5MiB live, 267.6MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
25%25%74.9%0.1%0%0%0%4
37.5%37.4%62.4%0.1%0%0%0%5
37.5%37.4%62.4%0.1%0%0%0%6
40%37.4%56.2%0.1%0%6.2%0%7
48.3%45.2%48.4%0.1%0%6.2%0%8
53%48.4%42.9%0.1%0%8.6%0%9
58.1%50.3%36.3%0.1%0%13.3%0%10
66.1%56.8%29.1%0.1%0%14%0%11
70.4%58.8%24.7%0.1%0%16.4%0%12
Compiler

Compiled 19 to 14 computations (26.3% saved)

sample1.7s (14.3%)

Memory
19.8MiB live, 2 521.1MiB allocated
Samples
474.0ms5 557×0valid
332.0ms1 161×2valid
220.0ms1 301×1valid
125.0ms961×0invalid
98.0ms198×3valid
11.0ms39×4valid
0.0ms5exit
Precisions
Click to see histograms. Total time spent on operations: 911.0ms
ival-mult: 243.0ms (26.7% of total)
ival-sub: 214.0ms (23.5% of total)
ival-sqrt: 112.0ms (12.3% of total)
ival-neg: 105.0ms (11.5% of total)
ival-div: 96.0ms (10.5% of total)
ival-add: 79.0ms (8.7% of total)
adjust: 47.0ms (5.2% of total)
ival-true: 7.0ms (0.8% of total)
exact: 6.0ms (0.7% of total)
ival-assert: 4.0ms (0.4% of total)
Bogosity

preprocess140.0ms (1.2%)

Memory
18.4MiB live, 96.7MiB allocated
Algorithm
egg-herbie
Rules
1 682×div-sub
1 088×accelerator-lowering-fma.f32
1 088×accelerator-lowering-fma.f64
1 038×sub-neg
782×associate-/r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
053175
1160160
2445160
31195160
43280160
56279160
01217
12816
26516
314816
422716
536516
664316
7109516
8224416
9250016
10261016
11266516
12266616
13266616
0266615
Stop Event
iter limit
saturated
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 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) 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 (+ (* b b) (* a (* c -3)))) b) (* 3 a))
(/ (+ (neg b) (sqrt (- (* b b) (* (* 3 (neg a)) c)))) (* 3 (neg a)))
(/ (- (sqrt (+ (* b b) (* 3 (* a c)))) b) (* a -3))
(/ (+ (neg (neg b)) (sqrt (- (* (neg b) (neg b)) (* (* 3 a) c)))) (* 3 a))
(/ (+ b (sqrt (+ (* b b) (* a (* c -3))))) (* 3 a))
(/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) (neg c))))) (* 3 a))
(/ (- (sqrt (+ (* b b) (* 3 (* a c)))) b) (* 3 a))
(neg (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 (neg a)) c)))) (* 3 (neg a))))
(/ (- (sqrt (+ (* b b) (* 3 (* a c)))) b) (* 3 a))
(neg (/ (+ (neg (neg b)) (sqrt (- (* (neg b) (neg b)) (* (* 3 a) c)))) (* 3 a)))
(/ (+ b (sqrt (+ (* b b) (* a (* c -3))))) (* a -3))
(neg (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) (neg c))))) (* 3 a)))
(/ (- (sqrt (+ (* b b) (* 3 (* a c)))) b) (* a -3))
(/ (+ (neg a) (sqrt (- (* a a) (* (* 3 b) c)))) (* 3 b))
(/ (- (sqrt (+ (* a a) (* b (* c -3)))) a) (* b 3))
(/ (+ (neg b) (sqrt (- (* b b) (* (* 3 c) a)))) (* 3 c))
(/ (- (sqrt (+ (* b b) (* a (* c -3)))) b) (* 3 c))
(/ (+ (neg c) (sqrt (- (* c c) (* (* 3 a) b)))) (* 3 a))
(/ (- (sqrt (+ (* c c) (* b (* a -3)))) c) (* 3 a))

explain233.0ms (2%)

Memory
-26.6MiB live, 333.5MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1110-1(-9.428454539195115e-217 -3.894601925586503e-158 -2.056191814811865e-136)(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))
560-0-(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))))
160-1(7.236299830849641e-169 1.1783240839506654e+160 15816786079021378.0)(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
50-0-(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))
00-0-a
00-0-#s(literal 3 binary64)
00-0-(*.f64 (*.f64 #s(literal 3 binary64) a) c)
00-0-(*.f64 b b)
00-0-c
00-0-(neg.f64 b)
00-0-b
00-0-(*.f64 #s(literal 3 binary64) a)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
sqrt.f64(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))oflow-rescue1040
(*.f64 b b)overflow94
(*.f64 (*.f64 #s(literal 3 binary64) a) c)overflow24
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))overflow104
+.f64(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))))cancellation560
/.f64(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))u/n150
(*.f64 (*.f64 #s(literal 3 binary64) a) c)underflow27
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))underflow6
(*.f64 b b)underflow40
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))))underflow23
sqrt.f64(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))uflow-rescue60
(*.f64 b b)underflow40
(*.f64 (*.f64 #s(literal 3 binary64) a) c)underflow27
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))underflow6
-.f64(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))nan-rescue50
(*.f64 b b)overflow94
(*.f64 (*.f64 #s(literal 3 binary64) a) c)overflow24
Confusion
Predicted +Predicted -
+1291
-16110
Precision
0.8896551724137931
Recall
0.9923076923076923
Confusion?
Predicted +Predicted MaybePredicted -
+12901
-160110
Precision?
0.8896551724137931
Recall?
0.9923076923076923
Freqs
test
numberfreq
0111
1107
235
33
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
33.0ms356×0valid
18.0ms66×1valid
17.0ms76×2valid
4.0ms14×3valid
Compiler

Compiled 176 to 52 computations (70.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 40.0ms
ival-mult: 13.0ms (32.8% of total)
ival-sqrt: 6.0ms (15.1% of total)
ival-div: 5.0ms (12.6% of total)
ival-sub: 4.0ms (10.1% of total)
ival-neg: 4.0ms (10.1% of total)
ival-add: 4.0ms (10.1% of total)
adjust: 3.0ms (7.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory
1.8MiB live, 1.8MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.5%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
Compiler

Compiled 20 to 12 computations (40% saved)

simplify87.0ms (0.7%)

Memory
25.7MiB live, 100.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f64 b)
cost-diff0
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
cost-diff128
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))
cost-diff128
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))))
Rules
1 088×accelerator-lowering-fma.f32
1 088×accelerator-lowering-fma.f64
712×*-lowering-*.f32
712×*-lowering-*.f64
434×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01266
12864
26564
314864
422764
536564
664364
7109564
8224464
9250064
10261064
11266564
12266664
13266664
0266660
Stop Event
iter limit
saturated
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
Outputs
(/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) b) (*.f64 #s(literal 3 binary64) a))
(+ (neg b) (sqrt (- (* b b) (* (* 3 a) c))))
(-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) b)
(neg b)
(neg.f64 b)
b
(sqrt (- (* b b) (* (* 3 a) c)))
(sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)))
(- (* b b) (* (* 3 a) c))
(fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))
(* 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

localize54.0ms (0.5%)

Memory
-1.9MiB live, 117.8MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy98.4%
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))
accuracy94.2%
(/.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))
accuracy79.5%
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))))
accuracy59.8%
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))
Samples
18.0ms178×0valid
10.0ms33×1valid
9.0ms38×2valid
2.0ms3valid
Compiler

Compiled 68 to 14 computations (79.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-mult: 7.0ms (25.9% of total)
ival-sqrt: 5.0ms (18.5% of total)
ival-sub: 4.0ms (14.8% of total)
ival-add: 4.0ms (14.8% of total)
ival-div: 3.0ms (11.1% of total)
ival-neg: 2.0ms (7.4% of total)
adjust: 1.0ms (3.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series24.0ms (0.2%)

Memory
9.9MiB live, 86.7MiB allocated
Counts
5 → 156
Calls
Call 1
Inputs
#<alt (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c))))>
#<alt (- (* b b) (* (* 3 a) c))>
#<alt (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a))>
#<alt (neg b)>
#<alt (sqrt (- (* b b) (* (* 3 a) c)))>
Outputs
#<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 (* 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 (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* (sqrt (* a c)) (sqrt -3))>
#<alt (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (* a c)) (sqrt -3)))>
#<alt (+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))))>
#<alt (+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5)))))))))>
#<alt b>
#<alt (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))>
#<alt (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))>
#<alt (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))>
#<alt (* -1 b)>
#<alt (* -1 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))))>
#<alt (* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))>
#<alt (* -1 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))>
#<alt b>
#<alt (+ b (* -3/2 (/ (* a c) b)))>
#<alt (+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))))>
#<alt (+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))))>
#<alt (* (sqrt (* a c)) (sqrt -3))>
#<alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))>
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))>
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))))>
#<alt (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))>
#<alt (* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))>
#<alt (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))>
#<alt (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))>
#<alt b>
#<alt (+ b (* -3/2 (/ (* a c) b)))>
#<alt (+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))))>
#<alt (+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))))>
#<alt (* (sqrt (* a c)) (sqrt -3))>
#<alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))>
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))>
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))))>
#<alt (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))>
#<alt (* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))>
#<alt (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))>
#<alt (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))>
Calls

39 calls:

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

rewrite286.0ms (2.5%)

Memory
-10.1MiB live, 639.9MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 876×accelerator-lowering-fma.f32
4 876×accelerator-lowering-fma.f64
3 870×*-lowering-*.f32
3 870×*-lowering-*.f64
2 328×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01251
16349
251748
3680848
0809744
Stop Event
iter limit
node limit
Counts
5 → 440
Calls
Call 1
Inputs
(+ (neg b) (sqrt (- (* b b) (* (* 3 a) c))))
(- (* b b) (* (* 3 a) c))
(/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a))
(neg b)
(sqrt (- (* b b) (* (* 3 a) c)))
Outputs
(+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))
(+.f64 b (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))
(+.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) b)
(+.f64 #s(literal 0 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))
(+.f64 (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (neg.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))))
(+.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) #s(literal 0 binary64)) b)
(+.f64 (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) b)
(-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) b)
(-.f64 #s(literal 0 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))
(-.f64 (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (/.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))
(-.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))
(-.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) #s(literal 0 binary64)) b)
(fma.f64 b #s(literal 1 binary64) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))
(fma.f64 b #s(literal 1 binary64) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))
(fma.f64 b #s(literal -1 binary64) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))
(fma.f64 b #s(literal -1 binary64) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))
(fma.f64 b (/.f64 b (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (neg.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))))
(fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (neg.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))))
(fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) b) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))
(fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) b) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))
(fma.f64 (*.f64 b (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))
(fma.f64 (*.f64 b (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 b b)) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))
(fma.f64 #s(literal 1 binary64) b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))
(fma.f64 #s(literal 1 binary64) b (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (neg.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))))
(fma.f64 #s(literal -1 binary64) b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))
(fma.f64 #s(literal -1 binary64) b (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (neg.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a c) (fma.f64 (*.f64 a c) #s(literal 9 binary64) (*.f64 (*.f64 b b) #s(literal 3 binary64)))))) #s(literal 1/2 binary64)) b)
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a c) (fma.f64 (*.f64 a c) #s(literal 9 binary64) (*.f64 (*.f64 b b) #s(literal 3 binary64))))))) b)
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a c) (fma.f64 (*.f64 a c) #s(literal 9 binary64) (*.f64 (*.f64 b b) #s(literal 3 binary64))))))) b)
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) #s(literal 1/2 binary64)) b)
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b)))) b)
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b)))) b)
(fma.f64 (pow.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) #s(literal 1/4 binary64)) b)
(fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) b)
(fma.f64 (pow.f64 b #s(literal 1/2 binary64)) (pow.f64 b #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))
(fma.f64 (pow.f64 b #s(literal 1/2 binary64)) (pow.f64 b #s(literal 1/2 binary64)) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))
(fma.f64 (/.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b)))) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (neg.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))))
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(neg.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))
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(*.f64 (sqrt.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a c) (fma.f64 (*.f64 a c) #s(literal 9 binary64) (*.f64 (*.f64 b b) #s(literal 3 binary64))))))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a c) (fma.f64 (*.f64 a c) #s(literal 9 binary64) (*.f64 (*.f64 b b) #s(literal 3 binary64))))))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b)))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b)))))
(*.f64 (pow.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))

simplify389.0ms (3.3%)

Memory
4.3MiB live, 837.7MiB allocated
Algorithm
egg-herbie
Rules
10 788×accelerator-lowering-fma.f32
10 788×accelerator-lowering-fma.f64
7 910×*-lowering-*.f32
7 910×*-lowering-*.f64
2 502×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05603466
117673443
262153400
082643230
Stop Event
iter limit
node limit
Counts
156 → 156
Calls
Call 1
Inputs
(* (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 (* 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)))))))
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* (sqrt (* a c)) (sqrt -3))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (* a c)) (sqrt -3)))
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))))
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5)))))))))
b
(* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 b)
(* -1 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
b
(+ b (* -3/2 (/ (* a c) b)))
(+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -3))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))
b
(+ b (* -3/2 (/ (* a c) b)))
(+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -3))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))
Outputs
(* (sqrt (* a c)) (sqrt -3))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -3 binary64)))
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -3)))
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -3 binary64)) (neg.f64 b))
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3)))
(fma.f64 b (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 (/.f64 b (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -3 binary64))))
(+ (* 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)))
(fma.f64 b (fma.f64 b (fma.f64 #s(literal 1/24 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -3 binary64))))) #s(literal -1 binary64)) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -3 binary64))))
(* -3/2 (/ (* a c) b))
(/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b)
(/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/.f64 (fma.f64 a (*.f64 c #s(literal -3/2 binary64)) (/.f64 (*.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (*.f64 a a)) (*.f64 b b))) 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)
(/.f64 (fma.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal -27/16 binary64)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b))) (fma.f64 a (*.f64 c #s(literal -3/2 binary64)) (/.f64 (*.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (*.f64 a a)) (*.f64 b b)))) b)
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(*.f64 a (fma.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (pow.f64 a #s(literal 5 binary64)))))) (sqrt.f64 #s(literal -3 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c))))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 c a))))))
(* 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))))))
(*.f64 a (fma.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (pow.f64 a #s(literal 5 binary64)))))) (sqrt.f64 #s(literal -3 binary64))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 7 binary64))))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c))))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 c a)))))))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (sqrt.f64 #s(literal 3 binary64))))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b b) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c))))))) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (neg.f64 a))
(* -1 (* a (+ (* -1/8 (* (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 (fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (fma.f64 #s(literal -1/24 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (pow.f64 a #s(literal 5 binary64))))) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c))))) (*.f64 (/.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 3 binary64))) #s(literal 1/2 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 (fma.f64 #s(literal -1/24 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (pow.f64 a #s(literal 5 binary64))))) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 3 binary64))) (fma.f64 (sqrt.f64 #s(literal 3 binary64)) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 7 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))) #s(literal 1/16 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c))))) (*.f64 (/.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 3 binary64))) #s(literal 1/2 binary64)))))) (neg.f64 a))
b
(+ b (* -3/2 (/ (* a c) b)))
(fma.f64 (*.f64 a c) (/.f64 #s(literal -3/2 binary64) b) b)
(+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))))
(fma.f64 c (fma.f64 c (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) 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))))))))
(fma.f64 c (fma.f64 c (fma.f64 (/.f64 (*.f64 a (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))) (*.f64 #s(literal -27/16 binary64) c) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)) b)
(* (sqrt (* a c)) (sqrt -3))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -3 binary64)))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))
(*.f64 c (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 a 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)))))
(*.f64 c (fma.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64)))))) (sqrt.f64 #s(literal -3 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 a c))))))
(* 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 (fma.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64)))))) (sqrt.f64 #s(literal -3 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 b #s(literal 6 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 7 binary64)))))) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 a c)))))))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (sqrt.f64 #s(literal 3 binary64))))
(* -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 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c)))))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 (/.f64 a c))))) (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)))))))
(neg.f64 (*.f64 c (fma.f64 #s(literal -1/24 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64)))))) (sqrt.f64 #s(literal 3 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c)))))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 (/.f64 a 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))))))))
(neg.f64 (*.f64 c (fma.f64 #s(literal -1/24 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64)))))) (sqrt.f64 #s(literal 3 binary64))) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 (/.f64 a c))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 7 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))) #s(literal 1/16 binary64)) (*.f64 (/.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))))))))))

eval142.0ms (1.2%)

Memory
11.0MiB live, 201.3MiB allocated
Compiler

Compiled 22 541 to 2 109 computations (90.6% saved)

prune112.0ms (1%)

Memory
-9.1MiB live, 290.2MiB allocated
Pruning

17 alts after pruning (17 fresh and 0 done)

PrunedKeptTotal
New57917596
Fresh000
Picked101
Done000
Total58017597
Accuracy
94.1%
Counts
597 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
27.9%
(/.f64 (fma.f64 a (*.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c c) (*.f64 b b))) (*.f64 c #s(literal -1/2 binary64))) b)
51.6%
(/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64))
24.0%
(/.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b) (*.f64 #s(literal 3 binary64) a))
33.8%
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 3 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))
51.5%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))
51.6%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))
51.5%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))) (*.f64 #s(literal 3 binary64) a))
34.0%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a))
26.1%
(/.f64 (*.f64 (fma.f64 b b (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) #s(literal 1/3 binary64)) (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a))
33.8%
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) #s(literal 3 binary64))
32.9%
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b)
38.7%
(/.f64 (*.f64 b #s(literal -2/3 binary64)) a)
38.7%
(/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 3 binary64) a))
37.6%
(*.f64 (fma.f64 c (/.f64 #s(literal -1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b))
33.8%
(*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal 1/3 binary64))
33.8%
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64)))
51.5%
(*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))
Compiler

Compiled 584 to 390 computations (33.2% saved)

simplify338.0ms (2.9%)

Memory
-3.8MiB live, 325.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))
cost-diff0
(-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))
cost-diff0
(/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a)
cost-diff384
(/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64))
cost-diff0
(sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))
cost-diff0
(neg.f64 b)
cost-diff0
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))) (*.f64 #s(literal 3 binary64) a))
cost-diff128
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))))
cost-diff0
(*.f64 b b)
cost-diff0
(/.f64 #s(literal -1/2 binary64) (*.f64 b b))
cost-diff0
(fma.f64 c (/.f64 #s(literal -1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a))
cost-diff448
(*.f64 (fma.f64 c (/.f64 #s(literal -1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b))
cost-diff0
(*.f64 b #s(literal -2/3 binary64))
cost-diff0
(/.f64 (*.f64 b #s(literal -2/3 binary64)) a)
cost-diff0
(sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))
cost-diff0
(neg.f64 b)
cost-diff0
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))
cost-diff128
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))))
Rules
3 744×accelerator-lowering-fma.f32
3 744×accelerator-lowering-fma.f64
2 888×*-lowering-*.f32
2 888×*-lowering-*.f64
2 376×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035258
171253
2127253
3263252
4695252
51559250
62969250
74609250
85522250
95817250
105875250
115911250
125941250
136380250
146786250
156917250
166921250
176925250
186933250
196933250
206933250
08397235
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(/ (+ (neg b) (sqrt (+ (* (* a -3) c) (* b b)))) (* 3 a))
(+ (neg b) (sqrt (+ (* (* a -3) c) (* b b))))
(neg b)
b
(sqrt (+ (* (* a -3) c) (* b b)))
(+ (* (* a -3) c) (* b b))
(* a -3)
a
-3
c
(* b b)
(* 3 a)
3
(/ (* b -2/3) a)
(* b -2/3)
b
-2/3
a
(* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b))
(+ (* c (/ -1/2 (* b b))) (/ 2/3 a))
c
(/ -1/2 (* b b))
-1/2
(* b b)
b
(/ 2/3 a)
2/3
a
(neg b)
(/ (+ (neg b) (sqrt (+ (* b b) (* a (* -3 c))))) (* 3 a))
(+ (neg b) (sqrt (+ (* b b) (* a (* -3 c)))))
(neg b)
b
(sqrt (+ (* b b) (* a (* -3 c))))
(+ (* b b) (* a (* -3 c)))
(* a (* -3 c))
a
(* -3 c)
-3
c
(* 3 a)
3
(/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3)
(/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a)
(- b (sqrt (+ (* a (* -3 c)) (* b b))))
b
(sqrt (+ (* a (* -3 c)) (* b b)))
(+ (* a (* -3 c)) (* b b))
a
(* -3 c)
-3
c
(* b b)
Outputs
(/ (+ (neg b) (sqrt (+ (* (* a -3) c) (* b b)))) (* 3 a))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c))) b) (*.f64 a #s(literal 3 binary64)))
(+ (neg b) (sqrt (+ (* (* a -3) c) (* b b))))
(-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c))) b)
(neg b)
(neg.f64 b)
b
(sqrt (+ (* (* a -3) c) (* b b)))
(sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c)))
(+ (* (* a -3) c) (* b b))
(fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c))
(* a -3)
(*.f64 a #s(literal -3 binary64))
a
-3
#s(literal -3 binary64)
c
(* b b)
(*.f64 b b)
(* 3 a)
(*.f64 a #s(literal 3 binary64))
3
#s(literal 3 binary64)
(/ (* b -2/3) a)
(/.f64 (*.f64 b #s(literal -2/3 binary64)) a)
(* b -2/3)
(*.f64 b #s(literal -2/3 binary64))
b
-2/3
#s(literal -2/3 binary64)
a
(* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b))
(fma.f64 b (/.f64 #s(literal -2/3 binary64) a) (*.f64 c (/.f64 #s(literal 1/2 binary64) b)))
(+ (* c (/ -1/2 (* b b))) (/ 2/3 a))
(fma.f64 c (/.f64 #s(literal -1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a))
c
(/ -1/2 (* b b))
(/.f64 #s(literal -1/2 binary64) (*.f64 b b))
-1/2
#s(literal -1/2 binary64)
(* b b)
(*.f64 b b)
b
(/ 2/3 a)
(/.f64 #s(literal 2/3 binary64) a)
2/3
#s(literal 2/3 binary64)
a
(neg b)
(neg.f64 b)
(/ (+ (neg b) (sqrt (+ (* b b) (* a (* -3 c))))) (* 3 a))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c))) b) (*.f64 a #s(literal 3 binary64)))
(+ (neg b) (sqrt (+ (* b b) (* a (* -3 c)))))
(-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c))) b)
(neg b)
(neg.f64 b)
b
(sqrt (+ (* b b) (* a (* -3 c))))
(sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c)))
(+ (* b b) (* a (* -3 c)))
(fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c))
(* a (* -3 c))
(*.f64 (*.f64 a #s(literal -3 binary64)) c)
a
(* -3 c)
(*.f64 #s(literal -3 binary64) c)
-3
#s(literal -3 binary64)
c
(* 3 a)
(*.f64 a #s(literal 3 binary64))
3
#s(literal 3 binary64)
(/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3)
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c))) b) (*.f64 a #s(literal 3 binary64)))
(/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a)
(/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c)))) a)
(- b (sqrt (+ (* a (* -3 c)) (* b b))))
(-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c))))
b
(sqrt (+ (* a (* -3 c)) (* b b)))
(sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c)))
(+ (* a (* -3 c)) (* b b))
(fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c))
a
(* -3 c)
(*.f64 #s(literal -3 binary64) c)
-3
#s(literal -3 binary64)
c
(* b b)
(*.f64 b b)

localize162.0ms (1.4%)

Memory
4.5MiB live, 356.6MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy99.6%
(/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64))
accuracy94.5%
(/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a)
accuracy79.5%
(-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))
accuracy59.8%
(sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))
accuracy98.0%
(fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))
accuracy94.2%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))) (*.f64 #s(literal 3 binary64) a))
accuracy79.5%
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))))
accuracy59.8%
(sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))
accuracy99.5%
(/.f64 #s(literal -1/2 binary64) (*.f64 b b))
accuracy99.5%
(/.f64 #s(literal 2/3 binary64) a)
accuracy95.5%
(fma.f64 c (/.f64 #s(literal -1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a))
accuracy91.3%
(*.f64 (fma.f64 c (/.f64 #s(literal -1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b))
accuracy99.7%
(/.f64 (*.f64 b #s(literal -2/3 binary64)) a)
accuracy99.5%
(*.f64 b #s(literal -2/3 binary64))
accuracy99.9%
(fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))
accuracy94.2%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))
accuracy79.5%
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))))
accuracy59.8%
(sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))
Samples
52.0ms178×0valid
27.0ms37×2valid
17.0ms33×1valid
5.0ms3valid
3.0ms4valid
Compiler

Compiled 244 to 37 computations (84.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 71.0ms
ival-div: 19.0ms (26.7% of total)
ival-mult: 17.0ms (23.9% of total)
ival-add: 10.0ms (14% of total)
ival-sqrt: 8.0ms (11.2% of total)
const: 8.0ms (11.2% of total)
adjust: 4.0ms (5.6% of total)
ival-neg: 2.0ms (2.8% of total)
ival-sub: 2.0ms (2.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series56.0ms (0.5%)

Memory
-35.7MiB live, 81.6MiB allocated
Counts
20 → 588
Calls
Call 1
Inputs
#<alt (+ (neg b) (sqrt (+ (* (* a -3) c) (* b b))))>
#<alt (/ (+ (neg b) (sqrt (+ (* (* a -3) c) (* b b)))) (* 3 a))>
#<alt (neg b)>
#<alt (sqrt (+ (* (* a -3) c) (* b b)))>
#<alt (/ (* b -2/3) a)>
#<alt (* b -2/3)>
#<alt (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b))>
#<alt (+ (* c (/ -1/2 (* b b))) (/ 2/3 a))>
#<alt (/ -1/2 (* b b))>
#<alt (* b b)>
#<alt (+ (neg b) (sqrt (+ (* b b) (* a (* -3 c)))))>
#<alt (/ (+ (neg b) (sqrt (+ (* b b) (* a (* -3 c))))) (* 3 a))>
#<alt (sqrt (+ (* b b) (* a (* -3 c))))>
#<alt (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3)>
#<alt (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a)>
#<alt (- b (sqrt (+ (* a (* -3 c)) (* b b))))>
#<alt (sqrt (+ (* a (* -3 c)) (* b b)))>
#<alt (+ (* (* a -3) c) (* b b))>
#<alt (/ 2/3 a)>
#<alt (+ (* b b) (* a (* -3 c)))>
Outputs
#<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 (* 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 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<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 (* (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 b>
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#<alt b>
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#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))))>
#<alt (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))>
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#<alt (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))>
#<alt b>
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#<alt (* c (+ (* -1/8 (* (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))))))>
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#<alt (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))>
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#<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)))))>
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#<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))))>
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#<alt (* -1 (* (sqrt (* a c)) (sqrt -3)))>
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#<alt (* -1 (* (sqrt (* a c)) (sqrt -3)))>
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#<alt (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))>
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#<alt (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))>
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#<alt b>
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#<alt (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))>
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#<alt (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))>
#<alt b>
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#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))))>
#<alt (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))>
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#<alt (* -1 (* c (+ (* -1/8 (* (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 (* (sqrt (* a c)) (sqrt -3))>
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#<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 (pow b 2)>
#<alt (+ (* -3 (* a c)) (pow b 2))>
#<alt (+ (* -3 (* a c)) (pow b 2))>
#<alt (+ (* -3 (* a c)) (pow b 2))>
#<alt (* -3 (* a c))>
#<alt (* a (+ (* -3 c) (/ (pow b 2) a)))>
#<alt (* a (+ (* -3 c) (/ (pow b 2) a)))>
#<alt (* a (+ (* -3 c) (/ (pow b 2) a)))>
#<alt (* -3 (* a c))>
#<alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))>
#<alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))>
#<alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))>
#<alt (pow b 2)>
#<alt (+ (* -3 (* a c)) (pow b 2))>
#<alt (+ (* -3 (* a c)) (pow b 2))>
#<alt (+ (* -3 (* a c)) (pow b 2))>
#<alt (* -3 (* a c))>
#<alt (* c (+ (* -3 a) (/ (pow b 2) c)))>
#<alt (* c (+ (* -3 a) (/ (pow b 2) c)))>
#<alt (* c (+ (* -3 a) (/ (pow b 2) c)))>
#<alt (* -3 (* a c))>
#<alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a))))>
#<alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a))))>
#<alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a))))>
#<alt (* -3 (* a 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 (/ 2/3 a)>
#<alt (/ 2/3 a)>
#<alt (/ 2/3 a)>
#<alt (/ 2/3 a)>
#<alt (/ 2/3 a)>
#<alt (/ 2/3 a)>
#<alt (/ 2/3 a)>
#<alt (/ 2/3 a)>
#<alt (/ 2/3 a)>
#<alt (/ 2/3 a)>
#<alt (/ 2/3 a)>
#<alt (/ 2/3 a)>
#<alt (* -3 (* 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

147 calls:

TimeVariablePointExpression
2.0ms
a
@inf
(/ (* b -2/3) a)
2.0ms
b
@0
(sqrt (+ (* b b) (* a (* -3 c))))
1.0ms
c
@0
(* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b))
1.0ms
b
@0
(* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b))
1.0ms
a
@0
(* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b))

rewrite397.0ms (3.4%)

Memory
36.8MiB live, 708.7MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 064×/-lowering-/.f32
5 064×/-lowering-/.f64
5 032×accelerator-lowering-fma.f32
5 032×accelerator-lowering-fma.f64
4 280×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035197
1208192
21379192
08351178
Stop Event
iter limit
node limit
Counts
20 → 1 287
Calls
Call 1
Inputs
(+ (neg b) (sqrt (+ (* (* a -3) c) (* b b))))
(/ (+ (neg b) (sqrt (+ (* (* a -3) c) (* b b)))) (* 3 a))
(neg b)
(sqrt (+ (* (* a -3) c) (* b b)))
(/ (* b -2/3) a)
(* b -2/3)
(* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b))
(+ (* c (/ -1/2 (* b b))) (/ 2/3 a))
(/ -1/2 (* b b))
(* b b)
(+ (neg b) (sqrt (+ (* b b) (* a (* -3 c)))))
(/ (+ (neg b) (sqrt (+ (* b b) (* a (* -3 c))))) (* 3 a))
(sqrt (+ (* b b) (* a (* -3 c))))
(/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3)
(/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a)
(- b (sqrt (+ (* a (* -3 c)) (* b b))))
(sqrt (+ (* a (* -3 c)) (* b b)))
(+ (* (* a -3) c) (* b b))
(/ 2/3 a)
(+ (* b b) (* a (* -3 c)))
Outputs
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))))
(+.f64 (neg.f64 b) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))))))
(+.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) (neg.f64 b))
(-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b)
(-.f64 #s(literal 0 binary64) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))))
(-.f64 (/.f64 (*.f64 b (*.f64 b b)) (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))))) (/.f64 (*.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))) (neg.f64 (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))))))
(-.f64 (/.f64 (*.f64 b b) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))))) (/.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))))))
(-.f64 (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) #s(literal 0 binary64)) b)
(-.f64 (/.f64 (*.f64 b b) (neg.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))))) (/.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))) (neg.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))))))
(-.f64 (/.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) (neg.f64 b))) (/.f64 (*.f64 b b) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) (neg.f64 b))))
(fma.f64 b #s(literal -1 binary64) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))))
(fma.f64 b #s(literal -1 binary64) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))))))
(fma.f64 (neg.f64 (*.f64 b b)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) b)) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))))
(fma.f64 (neg.f64 (*.f64 b b)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) b)) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))))))
(fma.f64 #s(literal -1 binary64) b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))))
(fma.f64 #s(literal -1 binary64) b (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))))))
(fma.f64 (sqrt.f64 (fma.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 c (*.f64 c c)) #s(literal -27 binary64))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (-.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (*.f64 b b))))) #s(literal 1/2 binary64)) (neg.f64 b))
(fma.f64 (sqrt.f64 (fma.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 c (*.f64 c c)) #s(literal -27 binary64))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -3 binary64) c))) (*.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (*.f64 a (*.f64 #s(literal -3 binary64) c))))) #s(literal 1/2 binary64)) (neg.f64 b))
(fma.f64 (sqrt.f64 (fma.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 c (*.f64 c c)) #s(literal -27 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (-.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (*.f64 b b)))))) (neg.f64 b))
(fma.f64 (sqrt.f64 (fma.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 c (*.f64 c c)) #s(literal -27 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -3 binary64) c))) (*.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (*.f64 a (*.f64 #s(literal -3 binary64) c)))))) (neg.f64 b))
(fma.f64 (sqrt.f64 (fma.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 c (*.f64 c c)) #s(literal -27 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (-.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (*.f64 b b)))))) (neg.f64 b))
(fma.f64 (sqrt.f64 (fma.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 c (*.f64 c c)) #s(literal -27 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -3 binary64) c))) (*.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (*.f64 a (*.f64 #s(literal -3 binary64) c)))))) (neg.f64 b))
(fma.f64 (sqrt.f64 (*.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))) (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -3 binary64) c))))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -3 binary64) c)))) #s(literal 1/2 binary64)) (neg.f64 b))
(fma.f64 (sqrt.f64 (*.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))) (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -3 binary64) c))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -3 binary64) c))))) (neg.f64 b))
(fma.f64 (sqrt.f64 (*.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))) (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -3 binary64) c))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -3 binary64) c))))) (neg.f64 b))
(fma.f64 (sqrt.f64 (*.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))) (-.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (*.f64 b b)))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (*.f64 b b))) #s(literal 1/2 binary64)) (neg.f64 b))
(fma.f64 (sqrt.f64 (*.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))) (-.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (*.f64 b b)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (*.f64 b b)))) (neg.f64 b))
(fma.f64 (sqrt.f64 (*.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))) (-.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (*.f64 b b)))) (neg.f64 b))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 b b (*.f64 #s(literal 0 binary64) b)))) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 b b (*.f64 #s(literal 0 binary64) b)))) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))))))
(fma.f64 (pow.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))) #s(literal 1/4 binary64)) (neg.f64 b))
(fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))) (sqrt.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))) (neg.f64 b))
(neg.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))))
(/.f64 (fma.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) (*.f64 b (*.f64 b b))) (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))))
(/.f64 (fma.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) (*.f64 b (*.f64 b b))) (+.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))) (-.f64 (*.f64 b b) (*.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))))))
(/.f64 (-.f64 (*.f64 b (*.f64 b b)) (*.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))))) (neg.f64 (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))) (-.f64 (*.f64 b b) (*.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))))) (fma.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) (*.f64 b (*.f64 b b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))))) (-.f64 (*.f64 b (*.f64 b b)) (*.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))))) (-.f64 (*.f64 b b) (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))) (neg.f64 (-.f64 (*.f64 b (*.f64 b b)) (*.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))) (neg.f64 (-.f64 (*.f64 b b) (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) (neg.f64 b)) (-.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))) (*.f64 b b))))
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(/.f64 (-.f64 (*.f64 b b) (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))))
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(fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))
(fma.f64 (neg.f64 b) (neg.f64 b) (*.f64 a (*.f64 #s(literal -3 binary64) c)))
(fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))
(fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))
(fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b))
(fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))
(fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))
(fma.f64 (*.f64 b b) #s(literal 1 binary64) (*.f64 a (*.f64 #s(literal -3 binary64) c)))
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))
(fma.f64 #s(literal 1 binary64) (*.f64 b b) (*.f64 a (*.f64 #s(literal -3 binary64) c)))
(fma.f64 #s(literal -1 binary64) (neg.f64 (*.f64 b b)) (*.f64 a (*.f64 #s(literal -3 binary64) c)))
(fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))
(fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))
(fma.f64 (*.f64 (neg.f64 b) #s(literal -1 binary64)) b (*.f64 a (*.f64 #s(literal -3 binary64) c)))
(fma.f64 (exp.f64 (log.f64 b)) (exp.f64 (log.f64 b)) (*.f64 a (*.f64 #s(literal -3 binary64) c)))
(/.f64 (fma.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 c (*.f64 c c)) #s(literal -27 binary64)))) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (-.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (*.f64 b b)))))
(/.f64 (fma.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 c (*.f64 c c)) #s(literal -27 binary64)))) (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -3 binary64) c))) (*.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (*.f64 a (*.f64 #s(literal -3 binary64) c)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))))
(/.f64 (*.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))) (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -3 binary64) c)))) (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -3 binary64) c))))
(/.f64 (*.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))) (-.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (*.f64 b b))) (-.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (*.f64 b b)))
(/.f64 (neg.f64 (fma.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 c (*.f64 c c)) #s(literal -27 binary64))))) (neg.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (-.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (*.f64 b b))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 c (*.f64 c c)) #s(literal -27 binary64))))) (neg.f64 (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -3 binary64) c))) (*.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (*.f64 a (*.f64 #s(literal -3 binary64) c))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))) (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -3 binary64) c))))) (neg.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -3 binary64) c)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))) (-.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (*.f64 b b)))) (neg.f64 (-.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (*.f64 b b))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -3 binary64) c)))) (*.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -3 binary64) c))) (*.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (*.f64 a (*.f64 #s(literal -3 binary64) c))))) (*.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -3 binary64) c))) (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -3 binary64) c)))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (*.f64 a (*.f64 #s(literal -3 binary64) c))) (-.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (*.f64 b b))) (*.f64 (-.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (*.f64 b b)) (*.f64 (*.f64 b b) (*.f64 b b)))) (*.f64 (-.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (*.f64 b b)) (-.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (*.f64 b b))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 c (*.f64 c c)) #s(literal -27 binary64)))))) (neg.f64 (neg.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (-.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (*.f64 b b)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 c (*.f64 c c)) #s(literal -27 binary64)))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -3 binary64) c))) (*.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (*.f64 a (*.f64 #s(literal -3 binary64) c)))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))) (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -3 binary64) c)))))) (neg.f64 (neg.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -3 binary64) c))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))) (-.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (*.f64 b b))))) (neg.f64 (neg.f64 (-.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (*.f64 b b)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -3 binary64) c)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (*.f64 a (*.f64 #s(literal -3 binary64) c))) (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -3 binary64) c)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -3 binary64) c)))) (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -3 binary64) c)))) (fma.f64 (/.f64 (*.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (*.f64 a (*.f64 #s(literal -3 binary64) c))) (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -3 binary64) c)))) (/.f64 (*.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (*.f64 a (*.f64 #s(literal -3 binary64) c))) (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -3 binary64) c)))) (*.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -3 binary64) c)))) (/.f64 (*.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (*.f64 a (*.f64 #s(literal -3 binary64) c))) (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -3 binary64) c))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (*.f64 a (*.f64 #s(literal -3 binary64) c))) (-.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (*.f64 b b))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (-.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (*.f64 b b))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (*.f64 a (*.f64 #s(literal -3 binary64) c))) (-.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (*.f64 b b))) (/.f64 (*.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (*.f64 a (*.f64 #s(literal -3 binary64) c))) (-.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (*.f64 b b))) (fma.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (-.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (*.f64 b b))) (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (-.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (*.f64 b b))) (*.f64 (/.f64 (*.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (*.f64 a (*.f64 #s(literal -3 binary64) c))) (-.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (*.f64 b b))) (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (-.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (*.f64 b b)))))))
(pow.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) #s(literal 2 binary64))
(pow.f64 (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))) #s(literal 2 binary64))
(pow.f64 (*.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))) (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) #s(literal -1 binary64))
(*.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))))
(*.f64 (fma.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 c (*.f64 c c)) #s(literal -27 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (-.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (*.f64 b b))))))
(*.f64 (fma.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 c (*.f64 c c)) #s(literal -27 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -3 binary64) c))) (*.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (*.f64 a (*.f64 #s(literal -3 binary64) c))))))
(*.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))
(*.f64 (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))) (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))))
(*.f64 (*.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))) (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -3 binary64) c)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -3 binary64) c)))))
(*.f64 (*.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))) (-.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (*.f64 b b))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (*.f64 b b))))
(*.f64 (neg.f64 (fma.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 c (*.f64 c c)) #s(literal -27 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (-.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (*.f64 b b)))))))
(*.f64 (neg.f64 (fma.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 c (*.f64 c c)) #s(literal -27 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -3 binary64) c))) (*.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (*.f64 a (*.f64 #s(literal -3 binary64) c)))))))
(*.f64 (neg.f64 (*.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))) (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -3 binary64) c))))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -3 binary64) c))))))
(*.f64 (neg.f64 (*.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))) (-.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (*.f64 b b)))))
(*.f64 (pow.f64 (fma.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 c (*.f64 c c)) #s(literal -27 binary64)))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (-.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (*.f64 b b))))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fma.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 c (*.f64 c c)) #s(literal -27 binary64)))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -3 binary64) c))) (*.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (*.f64 a (*.f64 #s(literal -3 binary64) c))))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))) (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -3 binary64) c)))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -3 binary64) c)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))) (-.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (*.f64 b b))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (*.f64 b b))) #s(literal 1 binary64)))

simplify512.0ms (4.4%)

Memory
19.4MiB live, 960.5MiB allocated
Algorithm
egg-herbie
Rules
10 424×accelerator-lowering-fma.f32
10 424×accelerator-lowering-fma.f64
8 564×*-lowering-*.f32
8 564×*-lowering-*.f64
4 382×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
083712046
1271311956
0817611407
Stop Event
iter limit
node limit
Counts
588 → 588
Calls
Call 1
Inputs
(* (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))))))
(* 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 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
b
(+ b (* -3/2 (/ (* a c) b)))
(+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))))
(* (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))))))))
(* (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))))))))
(* -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)
(* -2/3 (/ b a))
(+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))
(+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))
(+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))
(* 1/2 (/ c b))
(* c (+ (* -2/3 (/ b (* a c))) (* 1/2 (/ 1 b))))
(* c (+ (* -2/3 (/ b (* a c))) (* 1/2 (/ 1 b))))
(* c (+ (* -2/3 (/ b (* a c))) (* 1/2 (/ 1 b))))
(* 1/2 (/ c b))
(* -1 (* c (- (* 2/3 (/ b (* a c))) (* 1/2 (/ 1 b)))))
(* -1 (* c (- (* 2/3 (/ b (* a c))) (* 1/2 (/ 1 b)))))
(* -1 (* c (- (* 2/3 (/ b (* a c))) (* 1/2 (/ 1 b)))))
(* 1/2 (/ c b))
(/ (+ (* -2/3 (/ (pow b 2) a)) (* 1/2 c)) b)
(/ (+ (* -2/3 (/ (pow b 2) a)) (* 1/2 c)) b)
(/ (+ (* -2/3 (/ (pow b 2) a)) (* 1/2 c)) b)
(* -2/3 (/ b a))
(* b (- (* 1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))
(* b (- (* 1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))
(* b (- (* 1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))
(* -2/3 (/ b a))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))
(* -2/3 (/ b a))
(/ (+ (* -2/3 b) (* 1/2 (/ (* a c) b))) a)
(/ (+ (* -2/3 b) (* 1/2 (/ (* a c) b))) a)
(/ (+ (* -2/3 b) (* 1/2 (/ (* a c) b))) a)
(* 1/2 (/ c b))
(+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))
(+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))
(+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))
(* 1/2 (/ c b))
(+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))
(+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))
(+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))
(/ 2/3 a)
(+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))
(+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))
(+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))
(* -1/2 (/ c (pow b 2)))
(* c (- (* 2/3 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b 2)))))
(* c (- (* 2/3 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b 2)))))
(* c (- (* 2/3 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b 2)))))
(* -1/2 (/ c (pow b 2)))
(* -1 (* c (- (* 1/2 (/ 1 (pow b 2))) (* 2/3 (/ 1 (* a c))))))
(* -1 (* c (- (* 1/2 (/ 1 (pow b 2))) (* 2/3 (/ 1 (* a c))))))
(* -1 (* c (- (* 1/2 (/ 1 (pow b 2))) (* 2/3 (/ 1 (* a c))))))
(* -1/2 (/ c (pow b 2)))
(/ (+ (* -1/2 c) (* 2/3 (/ (pow b 2) a))) (pow b 2))
(/ (+ (* -1/2 c) (* 2/3 (/ (pow b 2) a))) (pow b 2))
(/ (+ (* -1/2 c) (* 2/3 (/ (pow b 2) a))) (pow b 2))
(/ 2/3 a)
(+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))
(+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))
(+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))
(/ 2/3 a)
(+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))
(+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))
(+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))
(/ 2/3 a)
(/ (+ 2/3 (* -1/2 (/ (* a c) (pow b 2)))) a)
(/ (+ 2/3 (* -1/2 (/ (* a c) (pow b 2)))) a)
(/ (+ 2/3 (* -1/2 (/ (* a c) (pow b 2)))) a)
(* -1/2 (/ c (pow b 2)))
(+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))
(+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))
(+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))
(* -1/2 (/ c (pow b 2)))
(+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))
(+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))
(+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))
(/ -1/2 (pow b 2))
(/ -1/2 (pow b 2))
(/ -1/2 (pow b 2))
(/ -1/2 (pow b 2))
(/ -1/2 (pow b 2))
(/ -1/2 (pow b 2))
(/ -1/2 (pow b 2))
(/ -1/2 (pow b 2))
(/ -1/2 (pow b 2))
(/ -1/2 (pow b 2))
(/ -1/2 (pow b 2))
(/ -1/2 (pow b 2))
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(* (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))))))
(* 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))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (* a c)) (sqrt -3)))
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))))
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5)))))))))
b
(* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 b)
(* -1 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
b
(+ b (* -3/2 (/ (* a c) b)))
(+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -3))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))
b
(+ b (* -3/2 (/ (* a c) b)))
(+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -3))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))
(* 1/3 (* (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 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -3))) (/ b a))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -3))) (* b (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (/ 1 a))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -3))) (* b (+ (* b (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))))) (/ 1 a))))
(* 3/2 (/ c b))
(/ (+ (* 9/8 (/ (* a (pow c 2)) (pow b 2))) (* 3/2 c)) b)
(/ (+ (* 9/8 (/ (* a (pow c 2)) (pow b 2))) (+ (* 3/2 c) (* 27/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))))) b)
(/ (+ (* 1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 9/8 (/ (* a (pow c 2)) (pow b 2))) (+ (* 3/2 c) (* 27/16 (/ (* (pow a 2) (pow c 3)) (pow b 4)))))) b)
(* 2 (/ b a))
(* -1 (* b (- (* 3/2 (/ c (pow b 2))) (* 2 (/ 1 a)))))
(* -1 (* b (- (+ (* 9/8 (/ (* a (pow c 2)) (pow b 4))) (* 3/2 (/ c (pow b 2)))) (* 2 (/ 1 a)))))
(* -1 (* b (- (+ (* 9/8 (/ (* a (pow c 2)) (pow b 4))) (+ (* 3/2 (/ c (pow b 2))) (* 27/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))))) (* 2 (/ 1 a)))))
(* 3/2 (/ c b))
(+ (* 9/8 (/ (* a (pow c 2)) (pow b 3))) (* 3/2 (/ c b)))
(+ (* 3/2 (/ c b)) (* a (+ (* 9/8 (/ (pow c 2) (pow b 3))) (* 27/16 (/ (* a (pow c 3)) (pow b 5))))))
(+ (* 3/2 (/ c b)) (* a (+ (* 9/8 (/ (pow c 2) (pow b 3))) (* 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))))))))
(* -1 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -3))) (/ b a))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (/ b a))))
(* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))
(+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a))
(+ (* -1 (/ (+ (* -1 b) (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(+ (* -1 (/ (+ (* -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 (/ c b))
(* c (+ (* 9/8 (/ (* a c) (pow b 3))) (* 3/2 (/ 1 b))))
(* c (+ (* c (+ (* 9/8 (/ a (pow b 3))) (* 27/16 (/ (* (pow a 2) c) (pow b 5))))) (* 3/2 (/ 1 b))))
(* c (+ (* c (+ (* 9/8 (/ a (pow b 3))) (* c (+ (* 1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))) (* 27/16 (/ (pow a 2) (pow b 5))))))) (* 3/2 (/ 1 b))))
(* -1 (* (sqrt (/ c a)) (sqrt -3)))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (/ b (* a c))))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (/ b (* a c)))))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (/ b (* a c))))))
(* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* -1 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (/ b a)) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) c)) (/ b a)) c)))))
(* -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))))))
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))))))))
(* (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))))))))
(pow b 2)
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(* -3 (* a c))
(* a (+ (* -3 c) (/ (pow b 2) a)))
(* a (+ (* -3 c) (/ (pow b 2) a)))
(* a (+ (* -3 c) (/ (pow b 2) a)))
(* -3 (* a c))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))
(pow b 2)
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(* -3 (* a c))
(* c (+ (* -3 a) (/ (pow b 2) c)))
(* c (+ (* -3 a) (/ (pow b 2) c)))
(* c (+ (* -3 a) (/ (pow b 2) c)))
(* -3 (* a c))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a))))
(* -3 (* a 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)))))
(/ 2/3 a)
(/ 2/3 a)
(/ 2/3 a)
(/ 2/3 a)
(/ 2/3 a)
(/ 2/3 a)
(/ 2/3 a)
(/ 2/3 a)
(/ 2/3 a)
(/ 2/3 a)
(/ 2/3 a)
(/ 2/3 a)
(* -3 (* 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
(* (sqrt (* a c)) (sqrt -3))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -3 binary64)))
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -3)))
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -3 binary64)) (neg.f64 b))
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3)))
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -3 binary64)) (*.f64 b (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 (/.f64 b (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(+ (* 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)))
(fma.f64 b (fma.f64 b (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c))))))) (/.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal -3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -3 binary64))))) #s(literal -1 binary64)) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -3 binary64))))
(* -3/2 (/ (* a c) b))
(/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)
(/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/.f64 (fma.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (/.f64 (*.f64 c c) (*.f64 b b)) (*.f64 a (*.f64 c #s(literal -3/2 binary64)))) 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)
(/.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) #s(literal -27/16 binary64)) (fma.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (/.f64 (*.f64 c c) (*.f64 b b)) (*.f64 a (*.f64 c #s(literal -3/2 binary64))))) 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)
(/.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) #s(literal -27/16 binary64)) (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 b b)) (fma.f64 #s(literal -1/2 binary64) (/.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))) (*.f64 a (*.f64 c #s(literal -3/2 binary64)))))) b)
(* -2 b)
(*.f64 b #s(literal -2 binary64))
(* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2))))))
(neg.f64 (*.f64 b (fma.f64 (*.f64 #s(literal -3/2 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 2 binary64))))
(* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(*.f64 (neg.f64 b) (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal -3/2 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 2 binary64))))
(* -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))))))))
(*.f64 (neg.f64 b) (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c))))) (pow.f64 b #s(literal 6 binary64))) (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal -3/2 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 2 binary64)))))
(* -3/2 (/ (* a c) b))
(/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))
(*.f64 a (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b b))) (*.f64 #s(literal -3/2 binary64) (/.f64 c 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 (fma.f64 a (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 #s(literal -27/16 binary64) a) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))))
(* 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 (fma.f64 a (fma.f64 a (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) a)) b) (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b)))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))))
(* (sqrt (* a c)) (sqrt -3))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -3 binary64)))
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3))))
(*.f64 a (-.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 c a))) (/.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 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 a a))))) (*.f64 b b)) (sqrt.f64 #s(literal -3 binary64))) (-.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 c a))) (/.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 (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (pow.f64 a #s(literal 5 binary64))))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal -3 binary64))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 a a))))) (*.f64 b b)) (sqrt.f64 #s(literal -3 binary64))) (-.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 c a))) (/.f64 b a)))))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(*.f64 (sqrt.f64 (*.f64 a c)) (neg.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))))
(* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (/.f64 b a)) (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 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (neg.f64 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))))))
(neg.f64 (*.f64 a (-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))) (/.f64 (-.f64 (neg.f64 b) (/.f64 (fma.f64 (/.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 a c)) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.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 -1/8 binary64)))) a)) a))))
(* -3/2 (/ (* a c) b))
(/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)
(* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))
(*.f64 c (fma.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (/.f64 c (*.f64 b (*.f64 b b))) (/.f64 (*.f64 #s(literal -3/2 binary64) a) b)))
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))
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(* (sqrt (* a c)) (sqrt -3))
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b
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(*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 #s(literal 3 binary64))) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 (/.f64 a c))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64))))) (*.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)))))) (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 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64))))) (*.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)))) (fma.f64 #s(literal 1/16 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))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 7 binary64)))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 (/.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 3 binary64))) #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (/.f64 a c)))))) (neg.f64 c))
(* (sqrt (* a c)) (sqrt -3))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -3 binary64)))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (* a c)) (sqrt -3)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 b b)) (sqrt.f64 #s(literal -3 binary64))) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -3 binary64))))
(+ (* (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)))))))
(fma.f64 (*.f64 b b) (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c))))))) (/.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal -3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -3 binary64))))) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -3 binary64))))
(+ (* (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)))))))))
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -3 binary64)) (*.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c))))))) (*.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 5 binary64))))) (*.f64 (/.f64 (*.f64 b b) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64))) #s(literal 1/16 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -3 binary64)))))))
b
(* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))
(fma.f64 (/.f64 (*.f64 a c) (*.f64 b b)) (*.f64 #s(literal -3/2 binary64) b) b)
(* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(*.f64 b (fma.f64 a (*.f64 (/.f64 c (*.f64 b b)) #s(literal -3/2 binary64)) (fma.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 4 binary64))) #s(literal 1 binary64))))
(* 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)))))))
(fma.f64 b (fma.f64 a (*.f64 (/.f64 c (*.f64 b b)) #s(literal -3/2 binary64)) (fma.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 a (*.f64 a a))) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 6 binary64)))))) b)
(* -1 b)
(neg.f64 b)
(* -1 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))))
(*.f64 (neg.f64 b) (fma.f64 a (*.f64 (/.f64 c (*.f64 b b)) #s(literal -3/2 binary64)) #s(literal 1 binary64)))
(* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(*.f64 (neg.f64 b) (fma.f64 a (*.f64 (/.f64 c (*.f64 b b)) #s(literal -3/2 binary64)) (fma.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 4 binary64))) #s(literal 1 binary64))))
(* -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))))))))
(*.f64 (neg.f64 b) (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c))))) (pow.f64 b #s(literal 6 binary64))) (fma.f64 a (*.f64 (/.f64 c (*.f64 b b)) #s(literal -3/2 binary64)) (fma.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 4 binary64))) #s(literal 1 binary64)))))
(pow b 2)
(*.f64 b b)
(+ (* -3 (* a c)) (pow b 2))
(fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))
(+ (* -3 (* a c)) (pow b 2))
(fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))
(+ (* -3 (* a c)) (pow b 2))
(fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))
(* -3 (* a c))
(*.f64 a (*.f64 c #s(literal -3 binary64)))
(* a (+ (* -3 c) (/ (pow b 2) a)))
(*.f64 a (fma.f64 c #s(literal -3 binary64) (/.f64 (*.f64 b b) a)))
(* a (+ (* -3 c) (/ (pow b 2) a)))
(*.f64 a (fma.f64 c #s(literal -3 binary64) (/.f64 (*.f64 b b) a)))
(* a (+ (* -3 c) (/ (pow b 2) a)))
(*.f64 a (fma.f64 c #s(literal -3 binary64) (/.f64 (*.f64 b b) a)))
(* -3 (* a c))
(*.f64 a (*.f64 c #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))
(fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))
(+ (* -3 (* a c)) (pow b 2))
(fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))
(+ (* -3 (* a c)) (pow b 2))
(fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))
(* -3 (* a c))
(*.f64 a (*.f64 c #s(literal -3 binary64)))
(* c (+ (* -3 a) (/ (pow b 2) c)))
(*.f64 c (fma.f64 a #s(literal -3 binary64) (/.f64 (*.f64 b b) c)))
(* c (+ (* -3 a) (/ (pow b 2) c)))
(*.f64 c (fma.f64 a #s(literal -3 binary64) (/.f64 (*.f64 b b) c)))
(* c (+ (* -3 a) (/ (pow b 2) c)))
(*.f64 c (fma.f64 a #s(literal -3 binary64) (/.f64 (*.f64 b b) c)))
(* -3 (* a c))
(*.f64 a (*.f64 c #s(literal -3 binary64)))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a))))
(*.f64 (-.f64 (*.f64 a #s(literal 3 binary64)) (/.f64 (*.f64 b b) c)) (neg.f64 c))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a))))
(*.f64 (-.f64 (*.f64 a #s(literal 3 binary64)) (/.f64 (*.f64 b b) c)) (neg.f64 c))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a))))
(*.f64 (-.f64 (*.f64 a #s(literal 3 binary64)) (/.f64 (*.f64 b b) c)) (neg.f64 c))
(* -3 (* a c))
(*.f64 a (*.f64 c #s(literal -3 binary64)))
(+ (* -3 (* a c)) (pow b 2))
(fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))
(+ (* -3 (* a c)) (pow b 2))
(fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))
(+ (* -3 (* a c)) (pow b 2))
(fma.f64 a (*.f64 c #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) (fma.f64 a (*.f64 (/.f64 c (*.f64 b b)) #s(literal -3 binary64)) #s(literal 1 binary64)))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(*.f64 (*.f64 b b) (fma.f64 a (*.f64 (/.f64 c (*.f64 b b)) #s(literal -3 binary64)) #s(literal 1 binary64)))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(*.f64 (*.f64 b b) (fma.f64 a (*.f64 (/.f64 c (*.f64 b b)) #s(literal -3 binary64)) #s(literal 1 binary64)))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(*.f64 (*.f64 b b) (fma.f64 a (*.f64 (/.f64 c (*.f64 b b)) #s(literal -3 binary64)) #s(literal 1 binary64)))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(*.f64 (*.f64 b b) (fma.f64 a (*.f64 (/.f64 c (*.f64 b b)) #s(literal -3 binary64)) #s(literal 1 binary64)))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(*.f64 (*.f64 b b) (fma.f64 a (*.f64 (/.f64 c (*.f64 b b)) #s(literal -3 binary64)) #s(literal 1 binary64)))
(/ 2/3 a)
(/.f64 #s(literal 2/3 binary64) a)
(/ 2/3 a)
(/.f64 #s(literal 2/3 binary64) a)
(/ 2/3 a)
(/.f64 #s(literal 2/3 binary64) a)
(/ 2/3 a)
(/.f64 #s(literal 2/3 binary64) a)
(/ 2/3 a)
(/.f64 #s(literal 2/3 binary64) a)
(/ 2/3 a)
(/.f64 #s(literal 2/3 binary64) a)
(/ 2/3 a)
(/.f64 #s(literal 2/3 binary64) a)
(/ 2/3 a)
(/.f64 #s(literal 2/3 binary64) a)
(/ 2/3 a)
(/.f64 #s(literal 2/3 binary64) a)
(/ 2/3 a)
(/.f64 #s(literal 2/3 binary64) a)
(/ 2/3 a)
(/.f64 #s(literal 2/3 binary64) a)
(/ 2/3 a)
(/.f64 #s(literal 2/3 binary64) a)
(* -3 (* a c))
(*.f64 a (*.f64 c #s(literal -3 binary64)))
(+ (* -3 (* a c)) (pow b 2))
(fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))
(+ (* -3 (* a c)) (pow b 2))
(fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))
(+ (* -3 (* a c)) (pow b 2))
(fma.f64 a (*.f64 c #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) (fma.f64 a (*.f64 (/.f64 c (*.f64 b b)) #s(literal -3 binary64)) #s(literal 1 binary64)))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(*.f64 (*.f64 b b) (fma.f64 a (*.f64 (/.f64 c (*.f64 b b)) #s(literal -3 binary64)) #s(literal 1 binary64)))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(*.f64 (*.f64 b b) (fma.f64 a (*.f64 (/.f64 c (*.f64 b b)) #s(literal -3 binary64)) #s(literal 1 binary64)))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(*.f64 (*.f64 b b) (fma.f64 a (*.f64 (/.f64 c (*.f64 b b)) #s(literal -3 binary64)) #s(literal 1 binary64)))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(*.f64 (*.f64 b b) (fma.f64 a (*.f64 (/.f64 c (*.f64 b b)) #s(literal -3 binary64)) #s(literal 1 binary64)))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(*.f64 (*.f64 b b) (fma.f64 a (*.f64 (/.f64 c (*.f64 b b)) #s(literal -3 binary64)) #s(literal 1 binary64)))
(pow b 2)
(*.f64 b b)
(+ (* -3 (* a c)) (pow b 2))
(fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))
(+ (* -3 (* a c)) (pow b 2))
(fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))
(+ (* -3 (* a c)) (pow b 2))
(fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))
(* -3 (* a c))
(*.f64 a (*.f64 c #s(literal -3 binary64)))
(* a (+ (* -3 c) (/ (pow b 2) a)))
(*.f64 a (fma.f64 c #s(literal -3 binary64) (/.f64 (*.f64 b b) a)))
(* a (+ (* -3 c) (/ (pow b 2) a)))
(*.f64 a (fma.f64 c #s(literal -3 binary64) (/.f64 (*.f64 b b) a)))
(* a (+ (* -3 c) (/ (pow b 2) a)))
(*.f64 a (fma.f64 c #s(literal -3 binary64) (/.f64 (*.f64 b b) a)))
(* -3 (* a c))
(*.f64 a (*.f64 c #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))
(fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))
(+ (* -3 (* a c)) (pow b 2))
(fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))
(+ (* -3 (* a c)) (pow b 2))
(fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))
(* -3 (* a c))
(*.f64 a (*.f64 c #s(literal -3 binary64)))
(* c (+ (* -3 a) (/ (pow b 2) c)))
(*.f64 c (fma.f64 a #s(literal -3 binary64) (/.f64 (*.f64 b b) c)))
(* c (+ (* -3 a) (/ (pow b 2) c)))
(*.f64 c (fma.f64 a #s(literal -3 binary64) (/.f64 (*.f64 b b) c)))
(* c (+ (* -3 a) (/ (pow b 2) c)))
(*.f64 c (fma.f64 a #s(literal -3 binary64) (/.f64 (*.f64 b b) c)))
(* -3 (* a c))
(*.f64 a (*.f64 c #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))

eval317.0ms (2.7%)

Memory
11.0MiB live, 627.8MiB allocated
Compiler

Compiled 60 118 to 3 951 computations (93.4% saved)

prune210.0ms (1.8%)

Memory
4.0MiB live, 576.3MiB allocated
Pruning

30 alts after pruning (27 fresh and 3 done)

PrunedKeptTotal
New1 968211 989
Fresh6612
Picked235
Done000
Total1 976302 006
Accuracy
94.3%
Counts
2 006 → 30
Alt Table
Click to see full alt table
StatusAccuracyProgram
38.7%
(fma.f64 c (/.f64 #s(literal 1/2 binary64) b) (*.f64 (/.f64 b a) #s(literal -2/3 binary64)))
27.9%
(/.f64 (fma.f64 a (*.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c c) (*.f64 b b))) (*.f64 c #s(literal -1/2 binary64))) b)
51.6%
(/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64))
38.7%
(/.f64 (/.f64 (-.f64 b (neg.f64 b)) a) #s(literal -3 binary64))
24.0%
(/.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b) (*.f64 #s(literal 3 binary64) a))
24.0%
(/.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b) (*.f64 #s(literal 3 binary64) a))
51.5%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))))) #s(literal -3 binary64))
51.5%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))
51.6%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))
34.0%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a))
26.1%
(/.f64 (*.f64 (fma.f64 b b (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) #s(literal 1/3 binary64)) (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a))
32.8%
(/.f64 (*.f64 (/.f64 c b) #s(literal 3/2 binary64)) #s(literal -3 binary64))
51.5%
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))))) #s(literal -3 binary64))
51.5%
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a)
37.9%
(/.f64 (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal 3/2 binary64) (/.f64 #s(literal -2 binary64) a))) #s(literal -3 binary64))
7.8%
(/.f64 (*.f64 c #s(literal 1/2 binary64)) b)
32.9%
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b)
38.7%
(/.f64 (*.f64 b #s(literal -2/3 binary64)) a)
38.7%
(/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 3 binary64) a))
38.6%
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b #s(literal -2/3 binary64))))
15.6%
(*.f64 (fma.f64 c (/.f64 #s(literal -1/2 binary64) (*.f64 b b)) (exp.f64 (*.f64 (log.f64 (*.f64 a #s(literal 3/2 binary64))) #s(literal -1 binary64)))) (neg.f64 b))
51.5%
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) a) #s(literal 1/3 binary64))
38.7%
(*.f64 (/.f64 b a) #s(literal -2/3 binary64))
51.5%
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)))
38.7%
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b #s(literal -2/3 binary64)))
51.5%
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b))
38.7%
(*.f64 (/.f64 #s(literal -2/3 binary64) a) b)
51.5%
(*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal -3 binary64)))
31.0%
(*.f64 c (fma.f64 #s(literal -2/3 binary64) (/.f64 b (*.f64 a c)) (/.f64 #s(literal 1/2 binary64) b)))
16.0%
(exp.f64 (*.f64 (log.f64 (/.f64 a (*.f64 b #s(literal -2/3 binary64)))) #s(literal -1 binary64)))
Compiler

Compiled 859 to 592 computations (31.1% saved)

simplify190.0ms (1.6%)

Memory
8.6MiB live, 438.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (*.f64 c c) (*.f64 b b))
cost-diff0
(*.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c c) (*.f64 b b)))
cost-diff0
(/.f64 (fma.f64 a (*.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c c) (*.f64 b b))) (*.f64 c #s(literal -1/2 binary64))) b)
cost-diff320
(fma.f64 a (*.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c c) (*.f64 b b))) (*.f64 c #s(literal -1/2 binary64)))
cost-diff0
(*.f64 a c)
cost-diff0
(/.f64 b (*.f64 a c))
cost-diff0
(fma.f64 #s(literal -2/3 binary64) (/.f64 b (*.f64 a c)) (/.f64 #s(literal 1/2 binary64) b))
cost-diff320
(*.f64 c (fma.f64 #s(literal -2/3 binary64) (/.f64 b (*.f64 a c)) (/.f64 #s(literal 1/2 binary64) b)))
cost-diff0
(*.f64 b #s(literal -2/3 binary64))
cost-diff0
(/.f64 a (*.f64 b #s(literal -2/3 binary64)))
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b #s(literal -2/3 binary64))))
cost-diff0
(/.f64 #s(literal -2/3 binary64) a)
cost-diff0
(*.f64 (/.f64 #s(literal -2/3 binary64) a) b)
cost-diff0
(-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b)
cost-diff0
(/.f64 #s(literal -1 binary64) a)
cost-diff320
(*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal -3 binary64)))
cost-diff384
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal -3 binary64))
Rules
3 568×*-lowering-*.f32
3 568×*-lowering-*.f64
2 894×accelerator-lowering-fma.f32
2 894×accelerator-lowering-fma.f64
2 574×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037209
190208
2205207
3485201
4946201
52800201
66345201
08193192
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(* (/ -1 a) (/ (- (sqrt (+ (* b b) (* a (* -3 c)))) b) -3))
(/ -1 a)
-1
a
(/ (- (sqrt (+ (* b b) (* a (* -3 c)))) b) -3)
(- (sqrt (+ (* b b) (* a (* -3 c)))) b)
(sqrt (+ (* b b) (* a (* -3 c))))
(+ (* b b) (* a (* -3 c)))
b
(* a (* -3 c))
(* -3 c)
-3
c
(* (/ -2/3 a) b)
(/ -2/3 a)
-2/3
a
b
(/ 1 (/ a (* b -2/3)))
1
(/ a (* b -2/3))
a
(* b -2/3)
b
-2/3
(* c (+ (* -2/3 (/ b (* a c))) (/ 1/2 b)))
c
(+ (* -2/3 (/ b (* a c))) (/ 1/2 b))
-2/3
(/ b (* a c))
b
(* a c)
a
(/ 1/2 b)
1/2
(/ (+ (* a (* -3/8 (/ (* c c) (* b b)))) (* c -1/2)) b)
(+ (* a (* -3/8 (/ (* c c) (* b b)))) (* c -1/2))
a
(* -3/8 (/ (* c c) (* b b)))
-3/8
(/ (* c c) (* b b))
(* c c)
c
(* b b)
b
(* c -1/2)
-1/2
Outputs
(* (/ -1 a) (/ (- (sqrt (+ (* b b) (* a (* -3 c)))) b) -3))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64)))
(/ -1 a)
(/.f64 #s(literal -1 binary64) a)
-1
#s(literal -1 binary64)
a
(/ (- (sqrt (+ (* b b) (* a (* -3 c)))) b) -3)
(*.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) b) #s(literal -1/3 binary64))
(- (sqrt (+ (* b b) (* a (* -3 c)))) b)
(-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) b)
(sqrt (+ (* b b) (* a (* -3 c))))
(sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))
(+ (* b b) (* a (* -3 c)))
(fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))
b
(* a (* -3 c))
(*.f64 a (*.f64 #s(literal -3 binary64) c))
(* -3 c)
(*.f64 #s(literal -3 binary64) c)
-3
#s(literal -3 binary64)
c
(* (/ -2/3 a) b)
(/.f64 (*.f64 b #s(literal -2/3 binary64)) a)
(/ -2/3 a)
(/.f64 #s(literal -2/3 binary64) a)
-2/3
#s(literal -2/3 binary64)
a
b
(/ 1 (/ a (* b -2/3)))
(/.f64 (*.f64 b #s(literal -2/3 binary64)) a)
1
#s(literal 1 binary64)
(/ a (* b -2/3))
(/.f64 a (*.f64 b #s(literal -2/3 binary64)))
a
(* b -2/3)
(*.f64 b #s(literal -2/3 binary64))
b
-2/3
#s(literal -2/3 binary64)
(* c (+ (* -2/3 (/ b (* a c))) (/ 1/2 b)))
(fma.f64 b (/.f64 #s(literal -2/3 binary64) a) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b))
c
(+ (* -2/3 (/ b (* a c))) (/ 1/2 b))
(fma.f64 b (/.f64 #s(literal -2/3 binary64) (*.f64 a c)) (/.f64 #s(literal 1/2 binary64) b))
-2/3
#s(literal -2/3 binary64)
(/ b (* a c))
(/.f64 b (*.f64 a c))
b
(* a c)
(*.f64 a c)
a
(/ 1/2 b)
(/.f64 #s(literal 1/2 binary64) b)
1/2
#s(literal 1/2 binary64)
(/ (+ (* a (* -3/8 (/ (* c c) (* b b)))) (* c -1/2)) b)
(/.f64 (*.f64 c (fma.f64 c (*.f64 #s(literal -3/8 binary64) (/.f64 a (*.f64 b b))) #s(literal -1/2 binary64))) b)
(+ (* a (* -3/8 (/ (* c c) (* b b)))) (* c -1/2))
(*.f64 c (fma.f64 c (*.f64 #s(literal -3/8 binary64) (/.f64 a (*.f64 b b))) #s(literal -1/2 binary64)))
a
(* -3/8 (/ (* c c) (* b b)))
(/.f64 (*.f64 c (*.f64 c #s(literal -3/8 binary64))) (*.f64 b b))
-3/8
#s(literal -3/8 binary64)
(/ (* c c) (* b b))
(/.f64 (*.f64 c c) (*.f64 b b))
(* c c)
(*.f64 c c)
c
(* b b)
(*.f64 b b)
b
(* c -1/2)
(*.f64 c #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)

localize165.0ms (1.4%)

Memory
5.7MiB live, 468.7MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy99.7%
(*.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c c) (*.f64 b b)))
accuracy98.5%
(/.f64 (fma.f64 a (*.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c c) (*.f64 b b))) (*.f64 c #s(literal -1/2 binary64))) b)
accuracy95.5%
(fma.f64 a (*.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c c) (*.f64 b b))) (*.f64 c #s(literal -1/2 binary64)))
accuracy73.7%
(/.f64 (*.f64 c c) (*.f64 b b))
accuracy100.0%
(*.f64 a c)
accuracy99.7%
(fma.f64 #s(literal -2/3 binary64) (/.f64 b (*.f64 a c)) (/.f64 #s(literal 1/2 binary64) b))
accuracy92.4%
(*.f64 c (fma.f64 #s(literal -2/3 binary64) (/.f64 b (*.f64 a c)) (/.f64 #s(literal 1/2 binary64) b)))
accuracy92.0%
(/.f64 b (*.f64 a c))
accuracy99.7%
(/.f64 a (*.f64 b #s(literal -2/3 binary64)))
accuracy99.5%
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b #s(literal -2/3 binary64))))
accuracy99.5%
(*.f64 b #s(literal -2/3 binary64))
accuracy99.7%
(*.f64 (/.f64 #s(literal -2/3 binary64) a) b)
accuracy99.5%
(/.f64 #s(literal -2/3 binary64) a)
accuracy98.0%
(fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))
accuracy94.7%
(*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal -3 binary64)))
accuracy79.5%
(-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b)
accuracy60.1%
(sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))
Samples
53.0ms178×0valid
31.0ms36×2valid
16.0ms33×1valid
4.0ms3valid
3.0ms4valid
1.0ms5exit
Compiler

Compiled 204 to 39 computations (80.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 77.0ms
ival-mult: 31.0ms (40.4% of total)
ival-div: 26.0ms (33.9% of total)
const: 5.0ms (6.5% of total)
ival-add: 5.0ms (6.5% of total)
adjust: 3.0ms (3.9% of total)
ival-sqrt: 3.0ms (3.9% of total)
ival-sub: 2.0ms (2.6% of total)
exact: 1.0ms (1.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series51.0ms (0.4%)

Memory
-4.8MiB live, 126.6MiB allocated
Counts
19 → 540
Calls
Call 1
Inputs
#<alt (/ (- (sqrt (+ (* b b) (* a (* -3 c)))) b) -3)>
#<alt (* (/ -1 a) (/ (- (sqrt (+ (* b b) (* a (* -3 c)))) b) -3))>
#<alt (/ -1 a)>
#<alt (- (sqrt (+ (* b b) (* a (* -3 c)))) b)>
#<alt (* (/ -2/3 a) b)>
#<alt (/ -2/3 a)>
#<alt (/ 1 (/ a (* b -2/3)))>
#<alt (/ a (* b -2/3))>
#<alt (* b -2/3)>
#<alt (* c (+ (* -2/3 (/ b (* a c))) (/ 1/2 b)))>
#<alt (+ (* -2/3 (/ b (* a c))) (/ 1/2 b))>
#<alt (/ b (* a c))>
#<alt (* a c)>
#<alt (+ (* a (* -3/8 (/ (* c c) (* b b)))) (* c -1/2))>
#<alt (/ (+ (* a (* -3/8 (/ (* c c) (* b b)))) (* c -1/2)) b)>
#<alt (* -3/8 (/ (* c c) (* b b)))>
#<alt (/ (* c c) (* b b))>
#<alt (sqrt (+ (* b b) (* a (* -3 c))))>
#<alt (+ (* b b) (* a (* -3 c)))>
Outputs
#<alt (* -1/3 (* (sqrt (* a c)) (sqrt -3)))>
#<alt (+ (* -1/3 (* (sqrt (* a c)) (sqrt -3))) (* 1/3 b))>
#<alt (+ (* -1/3 (* (sqrt (* a c)) (sqrt -3))) (* b (+ 1/3 (* -1/6 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))))))>
#<alt (+ (* -1/3 (* (sqrt (* a c)) (sqrt -3))) (* b (+ 1/3 (* b (+ (* -1/6 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* 1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))))))))>
#<alt (* 1/2 (/ (* a c) b))>
#<alt (/ (+ (* 3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 1/2 (* a c))) b)>
#<alt (/ (+ (* 3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (+ (* 1/2 (* a c)) (* 9/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))))) b)>
#<alt (/ (+ (* 1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* 3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (+ (* 1/2 (* a c)) (* 9/16 (/ (* (pow a 3) (pow c 3)) (pow b 4)))))) b)>
#<alt (* 2/3 b)>
#<alt (* -1 (* b (- (* 1/2 (/ (* a c) (pow b 2))) 2/3)))>
#<alt (* -1 (* b (- (+ (* 3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* 1/2 (/ (* a c) (pow b 2)))) 2/3)))>
#<alt (* -1 (* b (- (+ (* 3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ (* 1/2 (/ (* a c) (pow b 2))) (* 9/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))))) 2/3)))>
#<alt (* 1/2 (/ (* a c) b))>
#<alt (* a (+ (* 3/8 (/ (* a (pow c 2)) (pow b 3))) (* 1/2 (/ c b))))>
#<alt (* a (+ (* 1/2 (/ c b)) (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 9/16 (/ (* a (pow c 3)) (pow b 5)))))))>
#<alt (* a (+ (* 1/2 (/ c b)) (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* 1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)) (* 9/16 (/ (pow c 3) (pow b 5)))))))))>
#<alt (* -1/3 (* (sqrt (* a c)) (sqrt -3)))>
#<alt (* a (+ (* -1/3 (* (sqrt (/ c a)) (sqrt -3))) (* 1/3 (/ b a))))>
#<alt (* a (+ (* -1/3 (* (sqrt (/ c a)) (sqrt -3))) (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (/ b a)))))>
#<alt (* a (+ (* -1/3 (* (sqrt (/ c a)) (sqrt -3))) (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (+ (* 1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (* 1/3 (/ b a))))))>
#<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 (/ (+ (* 1/6 (* (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 (* 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)))))))>
#<alt (* 1/2 (/ (* a c) b))>
#<alt (* c (+ (* 3/8 (/ (* (pow a 2) c) (pow b 3))) (* 1/2 (/ a b))))>
#<alt (* c (+ (* 1/2 (/ a b)) (* c (+ (* 3/8 (/ (pow a 2) (pow b 3))) (* 9/16 (/ (* (pow a 3) c) (pow b 5)))))))>
#<alt (* c (+ (* 1/2 (/ a b)) (* c (+ (* 3/8 (/ (pow a 2) (pow b 3))) (* c (+ (* 1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)) (* 9/16 (/ (pow a 3) (pow b 5)))))))))>
#<alt (* -1/3 (* (sqrt (* a c)) (sqrt -3)))>
#<alt (* c (+ (* -1/3 (* (sqrt (/ a c)) (sqrt -3))) (* 1/3 (/ b c))))>
#<alt (* c (+ (* -1/3 (* (sqrt (/ a c)) (sqrt -3))) (+ (* -1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (/ b c)))))>
#<alt (* c (+ (* -1/3 (* (sqrt (/ a c)) (sqrt -3))) (+ (* -1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (+ (* 1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (* 1/3 (/ b c))))))>
#<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 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) c)) (* -1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) c)) (* 1/3 b)) c)) (* -1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))>
#<alt (* -1/2 (/ c b))>
#<alt (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))>
#<alt (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))>
#<alt (+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))>
#<alt (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))>
#<alt (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))>
#<alt (+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))>
#<alt (+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))>
#<alt (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))>
#<alt (+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))>
#<alt (+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))>
#<alt (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))>
#<alt (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))>
#<alt (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a)))))>
#<alt (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a)))))>
#<alt (* -1/2 (/ c b))>
#<alt (/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)>
#<alt (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)>
#<alt (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)>
#<alt (* -2/3 (/ b a))>
#<alt (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))>
#<alt (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))>
#<alt (* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))))>
#<alt (* -1/2 (/ c b))>
#<alt (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))>
#<alt (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))>
#<alt (* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))>
#<alt (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))>
#<alt (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))>
#<alt (* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))>
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#<alt (/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 3))>
#<alt (/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 3))>
#<alt (/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 3))>
#<alt (* -1/2 (/ c b))>
#<alt (/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)>
#<alt (/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)>
#<alt (/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)>
#<alt (* -1/2 (/ c b))>
#<alt (* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 c)) b))>
#<alt (* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 c)) b))>
#<alt (* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 c)) b))>
#<alt (* -3/8 (/ (pow c 2) (pow b 2)))>
#<alt (* -3/8 (/ (pow c 2) (pow b 2)))>
#<alt (* -3/8 (/ (pow c 2) (pow b 2)))>
#<alt (* -3/8 (/ (pow c 2) (pow b 2)))>
#<alt (* -3/8 (/ (pow c 2) (pow b 2)))>
#<alt (* -3/8 (/ (pow c 2) (pow b 2)))>
#<alt (* -3/8 (/ (pow c 2) (pow b 2)))>
#<alt (* -3/8 (/ (pow c 2) (pow b 2)))>
#<alt (* -3/8 (/ (pow c 2) (pow b 2)))>
#<alt (* -3/8 (/ (pow c 2) (pow b 2)))>
#<alt (* -3/8 (/ (pow c 2) (pow b 2)))>
#<alt (* -3/8 (/ (pow c 2) (pow b 2)))>
#<alt (* -3/8 (/ (pow c 2) (pow b 2)))>
#<alt (* -3/8 (/ (pow c 2) (pow b 2)))>
#<alt (* -3/8 (/ (pow c 2) (pow b 2)))>
#<alt (* -3/8 (/ (pow c 2) (pow b 2)))>
#<alt (* -3/8 (/ (pow c 2) (pow b 2)))>
#<alt (* -3/8 (/ (pow c 2) (pow b 2)))>
#<alt (* -3/8 (/ (pow c 2) (pow b 2)))>
#<alt (* -3/8 (/ (pow c 2) (pow b 2)))>
#<alt (* -3/8 (/ (pow c 2) (pow b 2)))>
#<alt (* -3/8 (/ (pow c 2) (pow b 2)))>
#<alt (* -3/8 (/ (pow c 2) (pow b 2)))>
#<alt (* -3/8 (/ (pow c 2) (pow b 2)))>
#<alt (/ (pow c 2) (pow b 2))>
#<alt (/ (pow c 2) (pow b 2))>
#<alt (/ (pow c 2) (pow b 2))>
#<alt (/ (pow c 2) (pow b 2))>
#<alt (/ (pow c 2) (pow b 2))>
#<alt (/ (pow c 2) (pow b 2))>
#<alt (/ (pow c 2) (pow b 2))>
#<alt (/ (pow c 2) (pow b 2))>
#<alt (/ (pow c 2) (pow b 2))>
#<alt (/ (pow c 2) (pow b 2))>
#<alt (/ (pow c 2) (pow b 2))>
#<alt (/ (pow c 2) (pow b 2))>
#<alt (/ (pow c 2) (pow b 2))>
#<alt (/ (pow c 2) (pow b 2))>
#<alt (/ (pow c 2) (pow b 2))>
#<alt (/ (pow c 2) (pow b 2))>
#<alt (/ (pow c 2) (pow b 2))>
#<alt (/ (pow c 2) (pow b 2))>
#<alt (/ (pow c 2) (pow b 2))>
#<alt (/ (pow c 2) (pow b 2))>
#<alt (/ (pow c 2) (pow b 2))>
#<alt (/ (pow c 2) (pow b 2))>
#<alt (/ (pow c 2) (pow b 2))>
#<alt (/ (pow c 2) (pow b 2))>
#<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

135 calls:

TimeVariablePointExpression
10.0ms
a
@0
(* c (+ (* -2/3 (/ b (* a c))) (/ 1/2 b)))
5.0ms
a
@0
(/ -1 a)
2.0ms
b
@0
(* -3/8 (/ (* c c) (* b b)))
2.0ms
a
@inf
(* (/ -1 a) (/ (- (sqrt (+ (* b b) (* a (* -3 c)))) b) -3))
1.0ms
b
@0
(* (/ -1 a) (/ (- (sqrt (+ (* b b) (* a (* -3 c)))) b) -3))

rewrite317.0ms (2.7%)

Memory
-9.1MiB live, 782.5MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 044×/-lowering-/.f32
5 044×/-lowering-/.f64
4 254×*-lowering-*.f32
4 254×*-lowering-*.f64
3 832×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037167
1200158
21563157
08190148
Stop Event
iter limit
node limit
Counts
19 → 858
Calls
Call 1
Inputs
(/ (- (sqrt (+ (* b b) (* a (* -3 c)))) b) -3)
(* (/ -1 a) (/ (- (sqrt (+ (* b b) (* a (* -3 c)))) b) -3))
(/ -1 a)
(- (sqrt (+ (* b b) (* a (* -3 c)))) b)
(* (/ -2/3 a) b)
(/ -2/3 a)
(/ 1 (/ a (* b -2/3)))
(/ a (* b -2/3))
(* b -2/3)
(* c (+ (* -2/3 (/ b (* a c))) (/ 1/2 b)))
(+ (* -2/3 (/ b (* a c))) (/ 1/2 b))
(/ b (* a c))
(* a c)
(+ (* a (* -3/8 (/ (* c c) (* b b)))) (* c -1/2))
(/ (+ (* a (* -3/8 (/ (* c c) (* b b)))) (* c -1/2)) b)
(* -3/8 (/ (* c c) (* b b)))
(/ (* c c) (* b b))
(sqrt (+ (* b b) (* a (* -3 c))))
(+ (* b b) (* a (* -3 c)))
Outputs
(+.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) #s(literal -1/3 binary64)) (neg.f64 (*.f64 b #s(literal -1/3 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -3 binary64) (-.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) b))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) b) #s(literal -1/3 binary64))))
(-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) #s(literal -1/3 binary64)) (*.f64 b #s(literal -1/3 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) (fma.f64 b (+.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) #s(literal -3 binary64)) (/.f64 (/.f64 (*.f64 b (*.f64 b b)) (fma.f64 b (+.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) #s(literal -3 binary64)))
(-.f64 (/.f64 (/.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)) (+.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))))) #s(literal -3 binary64)) (/.f64 (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))))) #s(literal -3 binary64)))
(-.f64 (/.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) (*.f64 #s(literal -3 binary64) (fma.f64 b (+.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))))) (/.f64 (*.f64 b (*.f64 b b)) (*.f64 #s(literal -3 binary64) (fma.f64 b (+.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))))))
(-.f64 (/.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)) (*.f64 #s(literal -3 binary64) (+.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))))) (/.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (+.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))))))
(-.f64 (/.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) #s(literal -3 binary64)) #s(literal 9 binary64)) (/.f64 (*.f64 #s(literal -3 binary64) b) #s(literal 9 binary64)))
(-.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) #s(literal -1/27 binary64)) (fma.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) #s(literal -1/3 binary64)) (*.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) #s(literal -1/3 binary64)) (fma.f64 (*.f64 b #s(literal -1/3 binary64)) (*.f64 b #s(literal -1/3 binary64)) (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) #s(literal -1/3 binary64)) (*.f64 b #s(literal -1/3 binary64)))))) (/.f64 (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/27 binary64)) (fma.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) #s(literal -1/3 binary64)) (*.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) #s(literal -1/3 binary64)) (fma.f64 (*.f64 b #s(literal -1/3 binary64)) (*.f64 b #s(literal -1/3 binary64)) (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) #s(literal -1/3 binary64)) (*.f64 b #s(literal -1/3 binary64)))))))
(-.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) #s(literal -1/3 binary64)) (*.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) #s(literal -1/3 binary64))) (fma.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) #s(literal -1/3 binary64) (*.f64 b #s(literal -1/3 binary64)))) (/.f64 (*.f64 (*.f64 b #s(literal -1/3 binary64)) (*.f64 b #s(literal -1/3 binary64))) (fma.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) #s(literal -1/3 binary64) (*.f64 b #s(literal -1/3 binary64)))))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) #s(literal -1/3 binary64) (neg.f64 (*.f64 b #s(literal -1/3 binary64))))
(neg.f64 (neg.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) b) #s(literal -1/3 binary64))))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) b) #s(literal -3 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal -3 binary64) (-.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) b))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -3 binary64) (-.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) b)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal -3 binary64) (-.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -3 binary64) (fma.f64 b (+.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) (fma.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) (neg.f64 (*.f64 b (*.f64 b b))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -3 binary64) (+.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))))) (-.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)) (*.f64 b b))))
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(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))
(fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))
(fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))
(fma.f64 (neg.f64 b) (neg.f64 b) (*.f64 a (*.f64 #s(literal -3 binary64) c)))
(fma.f64 (exp.f64 (log.f64 b)) (exp.f64 (log.f64 b)) (*.f64 a (*.f64 #s(literal -3 binary64) c)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 9 binary64) (*.f64 (*.f64 a c) (*.f64 a c)) (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -3 binary64) c))))) (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 c (*.f64 c c)) #s(literal -27 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (*.f64 b b)) (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 (*.f64 a c) (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))))
(/.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 c (*.f64 c c)) #s(literal -27 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) (fma.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (-.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (*.f64 b b)) (*.f64 b (*.f64 b (*.f64 b b)))))
(/.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 c (*.f64 c c)) #s(literal -27 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) (fma.f64 #s(literal 9 binary64) (*.f64 (*.f64 a c) (*.f64 a c)) (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -3 binary64) c))))))
(/.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 #s(literal 9 binary64) (*.f64 (*.f64 a c) (*.f64 a c)))) (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -3 binary64) c))))
(/.f64 (neg.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 c (*.f64 c c)) #s(literal -27 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (neg.f64 (fma.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (-.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (*.f64 b b)) (*.f64 b (*.f64 b (*.f64 b b))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 c (*.f64 c c)) #s(literal -27 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (neg.f64 (fma.f64 #s(literal 9 binary64) (*.f64 (*.f64 a c) (*.f64 a c)) (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -3 binary64) c)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 #s(literal 9 binary64) (*.f64 (*.f64 a c) (*.f64 a c))))) (neg.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -3 binary64) c)))))
(/.f64 (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 (*.f64 a c) (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b)))) (-.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (*.f64 b b)))
(/.f64 (-.f64 (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -3 binary64) c)))) (*.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -3 binary64) c))) (*.f64 #s(literal 9 binary64) (*.f64 (*.f64 a c) (*.f64 a c))))) (*.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -3 binary64) c))) (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -3 binary64) c)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 c (*.f64 c c)) #s(literal -27 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (-.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (*.f64 b b)) (*.f64 b (*.f64 b (*.f64 b b)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 #s(literal 9 binary64) (*.f64 (*.f64 a c) (*.f64 a c)))))) (neg.f64 (neg.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -3 binary64) c))))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 (*.f64 a c) (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (neg.f64 (-.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (*.f64 b b))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -3 binary64) c)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 (*.f64 a c) (*.f64 a c))) (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -3 binary64) c)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -3 binary64) c)))) (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -3 binary64) c)))) (fma.f64 (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 (*.f64 a c) (*.f64 a c))) (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -3 binary64) c)))) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 (*.f64 a c) (*.f64 a c))) (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -3 binary64) c)))) (*.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -3 binary64) c)))) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 (*.f64 a c) (*.f64 a c))) (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -3 binary64) c))))))))
(pow.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) #s(literal 2 binary64))
(pow.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)) (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) #s(literal -1 binary64))
(*.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))))
(*.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 c (*.f64 c c)) #s(literal -27 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (-.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (*.f64 b b)) (*.f64 b (*.f64 b (*.f64 b b))))))
(*.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 #s(literal 9 binary64) (*.f64 (*.f64 a c) (*.f64 a c)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -3 binary64) c)))))
(*.f64 (pow.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 c (*.f64 c c)) #s(literal -27 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (-.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (*.f64 b b)) (*.f64 b (*.f64 b (*.f64 b b))))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 #s(literal 9 binary64) (*.f64 (*.f64 a c) (*.f64 a c)))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -3 binary64) c)))) #s(literal 1 binary64)))

simplify702.0ms (6%)

Memory
-138.0MiB live, 692.9MiB allocated
Algorithm
egg-herbie
Rules
11 230×accelerator-lowering-fma.f32
11 230×accelerator-lowering-fma.f64
8 578×*-lowering-*.f32
8 578×*-lowering-*.f64
3 974×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07707379
124867342
083397030
Stop Event
iter limit
node limit
Counts
540 → 540
Calls
Call 1
Inputs
(* -1/3 (* (sqrt (* a c)) (sqrt -3)))
(+ (* -1/3 (* (sqrt (* a c)) (sqrt -3))) (* 1/3 b))
(+ (* -1/3 (* (sqrt (* a c)) (sqrt -3))) (* b (+ 1/3 (* -1/6 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))))))
(+ (* -1/3 (* (sqrt (* a c)) (sqrt -3))) (* b (+ 1/3 (* b (+ (* -1/6 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* 1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))))))))
(* 1/2 (/ (* a c) b))
(/ (+ (* 3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 1/2 (* a c))) b)
(/ (+ (* 3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (+ (* 1/2 (* a c)) (* 9/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))))) b)
(/ (+ (* 1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* 3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (+ (* 1/2 (* a c)) (* 9/16 (/ (* (pow a 3) (pow c 3)) (pow b 4)))))) b)
(* 2/3 b)
(* -1 (* b (- (* 1/2 (/ (* a c) (pow b 2))) 2/3)))
(* -1 (* b (- (+ (* 3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* 1/2 (/ (* a c) (pow b 2)))) 2/3)))
(* -1 (* b (- (+ (* 3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ (* 1/2 (/ (* a c) (pow b 2))) (* 9/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))))) 2/3)))
(* 1/2 (/ (* a c) b))
(* a (+ (* 3/8 (/ (* a (pow c 2)) (pow b 3))) (* 1/2 (/ c b))))
(* a (+ (* 1/2 (/ c b)) (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 9/16 (/ (* a (pow c 3)) (pow b 5)))))))
(* a (+ (* 1/2 (/ c b)) (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* 1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)) (* 9/16 (/ (pow c 3) (pow b 5)))))))))
(* -1/3 (* (sqrt (* a c)) (sqrt -3)))
(* a (+ (* -1/3 (* (sqrt (/ c a)) (sqrt -3))) (* 1/3 (/ b a))))
(* a (+ (* -1/3 (* (sqrt (/ c a)) (sqrt -3))) (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (/ b a)))))
(* a (+ (* -1/3 (* (sqrt (/ c a)) (sqrt -3))) (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (+ (* 1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (* 1/3 (/ b a))))))
(* 1/3 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* a (+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))))
(* -1 (* a (+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
(* 1/2 (/ (* a c) b))
(* c (+ (* 3/8 (/ (* (pow a 2) c) (pow b 3))) (* 1/2 (/ a b))))
(* c (+ (* 1/2 (/ a b)) (* c (+ (* 3/8 (/ (pow a 2) (pow b 3))) (* 9/16 (/ (* (pow a 3) c) (pow b 5)))))))
(* c (+ (* 1/2 (/ a b)) (* c (+ (* 3/8 (/ (pow a 2) (pow b 3))) (* c (+ (* 1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)) (* 9/16 (/ (pow a 3) (pow b 5)))))))))
(* -1/3 (* (sqrt (* a c)) (sqrt -3)))
(* c (+ (* -1/3 (* (sqrt (/ a c)) (sqrt -3))) (* 1/3 (/ b c))))
(* c (+ (* -1/3 (* (sqrt (/ a c)) (sqrt -3))) (+ (* -1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (/ b c)))))
(* c (+ (* -1/3 (* (sqrt (/ a c)) (sqrt -3))) (+ (* -1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (+ (* 1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (* 1/3 (/ b c))))))
(* 1/3 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* -1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b c)))))
(* -1 (* c (+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) c)) (* -1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) c)) (* 1/3 b)) c)) (* -1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))
(* -1/2 (/ c b))
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a)))))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a)))))
(* -1/2 (/ c b))
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -2/3 (/ b a))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))))
(* -1/2 (/ c b))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(/ -1 a)
(/ -1 a)
(/ -1 a)
(/ -1 a)
(/ -1 a)
(/ -1 a)
(/ -1 a)
(/ -1 a)
(/ -1 a)
(/ -1 a)
(/ -1 a)
(/ -1 a)
(* (sqrt (* a c)) (sqrt -3))
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -3)))
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3)))
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3)))
(* -3/2 (/ (* a c) b))
(/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
(* -2 b)
(* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -3/2 (/ (* a c) b))
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))
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(* -2/3 (/ b a))
(* -2/3 (/ b a))
(/ -2/3 a)
(/ -2/3 a)
(/ -2/3 a)
(/ -2/3 a)
(/ -2/3 a)
(/ -2/3 a)
(/ -2/3 a)
(/ -2/3 a)
(/ -2/3 a)
(/ -2/3 a)
(/ -2/3 a)
(/ -2/3 a)
(* -2/3 (/ b a))
(* -2/3 (/ b a))
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(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
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(+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))
(+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))
(* 1/2 (/ c b))
(* c (+ (* -2/3 (/ b (* a c))) (* 1/2 (/ 1 b))))
(* c (+ (* -2/3 (/ b (* a c))) (* 1/2 (/ 1 b))))
(* c (+ (* -2/3 (/ b (* a c))) (* 1/2 (/ 1 b))))
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(* -1 (* c (- (* 2/3 (/ b (* a c))) (* 1/2 (/ 1 b)))))
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(/ (+ (* -2/3 (/ (pow b 2) a)) (* 1/2 c)) b)
(/ (+ (* -2/3 (/ (pow b 2) a)) (* 1/2 c)) b)
(* -2/3 (/ b a))
(* b (- (* 1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))
(* b (- (* 1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))
(* b (- (* 1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))
(* -2/3 (/ b a))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))
(* -2/3 (/ b a))
(/ (+ (* -2/3 b) (* 1/2 (/ (* a c) b))) a)
(/ (+ (* -2/3 b) (* 1/2 (/ (* a c) b))) a)
(/ (+ (* -2/3 b) (* 1/2 (/ (* a c) b))) a)
(* 1/2 (/ c b))
(+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))
(+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))
(+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))
(* 1/2 (/ c b))
(+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))
(+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))
(+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))
(/ 1/2 b)
(/ (+ 1/2 (* -2/3 (/ (pow b 2) (* a c)))) b)
(/ (+ 1/2 (* -2/3 (/ (pow b 2) (* a c)))) b)
(/ (+ 1/2 (* -2/3 (/ (pow b 2) (* a c)))) b)
(* -2/3 (/ b (* a c)))
(* b (- (* 1/2 (/ 1 (pow b 2))) (* 2/3 (/ 1 (* a c)))))
(* b (- (* 1/2 (/ 1 (pow b 2))) (* 2/3 (/ 1 (* a c)))))
(* b (- (* 1/2 (/ 1 (pow b 2))) (* 2/3 (/ 1 (* a c)))))
(* -2/3 (/ b (* a c)))
(* -1 (* b (- (* 2/3 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b 2))))))
(* -1 (* b (- (* 2/3 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b 2))))))
(* -1 (* b (- (* 2/3 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b 2))))))
(* -2/3 (/ b (* a c)))
(/ (+ (* -2/3 (/ b c)) (* 1/2 (/ a b))) a)
(/ (+ (* -2/3 (/ b c)) (* 1/2 (/ a b))) a)
(/ (+ (* -2/3 (/ b c)) (* 1/2 (/ a b))) a)
(/ 1/2 b)
(+ (* -2/3 (/ b (* a c))) (* 1/2 (/ 1 b)))
(+ (* -2/3 (/ b (* a c))) (* 1/2 (/ 1 b)))
(+ (* -2/3 (/ b (* a c))) (* 1/2 (/ 1 b)))
(/ 1/2 b)
(+ (* -2/3 (/ b (* a c))) (* 1/2 (/ 1 b)))
(+ (* -2/3 (/ b (* a c))) (* 1/2 (/ 1 b)))
(+ (* -2/3 (/ b (* a c))) (* 1/2 (/ 1 b)))
(* -2/3 (/ b (* a c)))
(/ (+ (* -2/3 (/ b a)) (* 1/2 (/ c b))) c)
(/ (+ (* -2/3 (/ b a)) (* 1/2 (/ c b))) c)
(/ (+ (* -2/3 (/ b a)) (* 1/2 (/ c b))) c)
(/ 1/2 b)
(+ (* -2/3 (/ b (* a c))) (* 1/2 (/ 1 b)))
(+ (* -2/3 (/ b (* a c))) (* 1/2 (/ 1 b)))
(+ (* -2/3 (/ b (* a c))) (* 1/2 (/ 1 b)))
(/ 1/2 b)
(+ (* -2/3 (/ b (* a c))) (* 1/2 (/ 1 b)))
(+ (* -2/3 (/ b (* a c))) (* 1/2 (/ 1 b)))
(+ (* -2/3 (/ b (* a c))) (* 1/2 (/ 1 b)))
(/ b (* a c))
(/ b (* a c))
(/ b (* a c))
(/ b (* a c))
(/ b (* a c))
(/ b (* a c))
(/ b (* a c))
(/ b (* a c))
(/ b (* a c))
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(/ b (* a c))
(/ b (* a c))
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(/ b (* a c))
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(/ b (* a c))
(/ b (* a c))
(/ b (* a c))
(/ b (* a c))
(/ b (* a c))
(/ b (* a c))
(/ b (* a c))
(/ b (* a c))
(/ b (* a c))
(/ b (* a c))
(/ b (* a c))
(/ b (* a c))
(/ b (* a c))
(/ b (* a c))
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(/ b (* a c))
(/ b (* a c))
(/ b (* a c))
(/ b (* a c))
(/ b (* a c))
(/ b (* a c))
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* -1/2 c)
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))
(* -3/8 (/ (* a (pow c 2)) (pow b 2)))
(* a (+ (* -1/2 (/ c a)) (* -3/8 (/ (pow c 2) (pow b 2)))))
(* a (+ (* -1/2 (/ c a)) (* -3/8 (/ (pow c 2) (pow b 2)))))
(* a (+ (* -1/2 (/ c a)) (* -3/8 (/ (pow c 2) (pow b 2)))))
(* -3/8 (/ (* a (pow c 2)) (pow b 2)))
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 2))) (* 1/2 (/ c a)))))
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 2))) (* 1/2 (/ c a)))))
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 2))) (* 1/2 (/ c a)))))
(* -1/2 c)
(* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2))
(* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2))
(* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2))
(* -3/8 (/ (* a (pow c 2)) (pow b 2)))
(* (pow c 2) (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c))))
(* (pow c 2) (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c))))
(* (pow c 2) (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c))))
(* -3/8 (/ (* a (pow c 2)) (pow b 2)))
(* (pow c 2) (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c))))
(* (pow c 2) (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c))))
(* (pow c 2) (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c))))
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(/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 2))
(/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 2))
(/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 2))
(* -1/2 c)
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))
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(* -3/8 (/ (* a (pow c 2)) (pow b 3)))
(* a (+ (* -1/2 (/ c (* a b))) (* -3/8 (/ (pow c 2) (pow b 3)))))
(* a (+ (* -1/2 (/ c (* a b))) (* -3/8 (/ (pow c 2) (pow b 3)))))
(* a (+ (* -1/2 (/ c (* a b))) (* -3/8 (/ (pow c 2) (pow b 3)))))
(* -3/8 (/ (* a (pow c 2)) (pow b 3)))
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b))))))
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b))))))
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b))))))
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(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))))
(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))))
(* -3/8 (/ (* a (pow c 2)) (pow b 3)))
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(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))))
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(* -3/8 (/ (* a (pow c 2)) (pow b 3)))
(/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 3))
(/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 3))
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(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)
(* -1/2 (/ c b))
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 c)) b))
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 c)) b))
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 c)) b))
(* -3/8 (/ (pow c 2) (pow b 2)))
(* -3/8 (/ (pow c 2) (pow b 2)))
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(* -3/8 (/ (pow c 2) (pow b 2)))
(* -3/8 (/ (pow c 2) (pow b 2)))
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(/ (pow c 2) (pow b 2))
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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))))
Outputs
(* -1/3 (* (sqrt (* a c)) (sqrt -3)))
(*.f64 (sqrt.f64 (*.f64 a c)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -1/3 binary64)))
(+ (* -1/3 (* (sqrt (* a c)) (sqrt -3))) (* 1/3 b))
(fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -3 binary64))) (*.f64 #s(literal 1/3 binary64) b))
(+ (* -1/3 (* (sqrt (* a c)) (sqrt -3))) (* b (+ 1/3 (* -1/6 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))))))
(fma.f64 b (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 (/.f64 b (sqrt.f64 #s(literal -3 binary64))) #s(literal -1/6 binary64)) #s(literal 1/3 binary64)) (*.f64 (sqrt.f64 (*.f64 a c)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -1/3 binary64))))
(+ (* -1/3 (* (sqrt (* a c)) (sqrt -3))) (* b (+ 1/3 (* b (+ (* -1/6 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* 1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))))))))
(fma.f64 b (fma.f64 b (fma.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 (*.f64 b b) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c)))))))) (*.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 c))) (sqrt.f64 #s(literal -3 binary64))))) #s(literal 1/3 binary64)) (*.f64 (sqrt.f64 (*.f64 a c)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -1/3 binary64))))
(* 1/2 (/ (* a c) b))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a c) b))
(/ (+ (* 3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 1/2 (* a c))) b)
(/.f64 (fma.f64 a (*.f64 c #s(literal 1/2 binary64)) (*.f64 #s(literal 3/8 binary64) (*.f64 a (*.f64 a (*.f64 c (/.f64 c (*.f64 b b))))))) b)
(/ (+ (* 3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (+ (* 1/2 (* a c)) (* 9/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))))) b)
(/.f64 (fma.f64 a (*.f64 c #s(literal 1/2 binary64)) (fma.f64 #s(literal 9/16 binary64) (/.f64 (*.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c))))) (pow.f64 b #s(literal 4 binary64))) (*.f64 #s(literal 3/8 binary64) (*.f64 a (*.f64 a (*.f64 c (/.f64 c (*.f64 b b)))))))) b)
(/ (+ (* 1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* 3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (+ (* 1/2 (* a c)) (* 9/16 (/ (* (pow a 3) (pow c 3)) (pow b 4)))))) b)
(/.f64 (fma.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))) (pow.f64 b #s(literal 6 binary64))) (fma.f64 a (*.f64 c #s(literal 1/2 binary64)) (fma.f64 #s(literal 9/16 binary64) (/.f64 (*.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c))))) (pow.f64 b #s(literal 4 binary64))) (*.f64 #s(literal 3/8 binary64) (*.f64 a (*.f64 a (*.f64 c (/.f64 c (*.f64 b b))))))))) b)
(* 2/3 b)
(*.f64 b #s(literal 2/3 binary64))
(* -1 (* b (- (* 1/2 (/ (* a c) (pow b 2))) 2/3)))
(neg.f64 (*.f64 b (fma.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -2/3 binary64))))
(* -1 (* b (- (+ (* 3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* 1/2 (/ (* a c) (pow b 2)))) 2/3)))
(*.f64 (fma.f64 #s(literal 3/8 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -2/3 binary64))) (neg.f64 b))
(* -1 (* b (- (+ (* 3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ (* 1/2 (/ (* a c) (pow b 2))) (* 9/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))))) 2/3)))
(*.f64 (fma.f64 #s(literal 3/8 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal 9/16 binary64) (*.f64 a (*.f64 a a))) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 6 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -2/3 binary64)))) (neg.f64 b))
(* 1/2 (/ (* a c) b))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a c) b))
(* a (+ (* 3/8 (/ (* a (pow c 2)) (pow b 3))) (* 1/2 (/ c b))))
(*.f64 a (fma.f64 a (/.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))))
(* a (+ (* 1/2 (/ c b)) (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 9/16 (/ (* a (pow c 3)) (pow b 5)))))))
(*.f64 a (fma.f64 a (fma.f64 a (/.f64 (*.f64 #s(literal 9/16 binary64) (*.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)))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))))
(* a (+ (* 1/2 (/ c b)) (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* 1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)) (* 9/16 (/ (pow c 3) (pow b 5)))))))))
(*.f64 a (fma.f64 a (fma.f64 a (fma.f64 (*.f64 #s(literal 1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 #s(literal 9/16 binary64) (*.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)))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))))
(* -1/3 (* (sqrt (* a c)) (sqrt -3)))
(*.f64 (sqrt.f64 (*.f64 a c)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -1/3 binary64)))
(* a (+ (* -1/3 (* (sqrt (/ c a)) (sqrt -3))) (* 1/3 (/ b a))))
(*.f64 a (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 c a))) (/.f64 (*.f64 #s(literal 1/3 binary64) b) a)))
(* a (+ (* -1/3 (* (sqrt (/ c a)) (sqrt -3))) (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (/ b a)))))
(*.f64 a (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 c a))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c))))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) #s(literal -1/6 binary64)) (/.f64 (*.f64 #s(literal 1/3 binary64) b) a))))
(* a (+ (* -1/3 (* (sqrt (/ c a)) (sqrt -3))) (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (+ (* 1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (* 1/3 (/ b a))))))
(*.f64 a (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 (sqrt.f64 (/.f64 c a)) #s(literal -1/3 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (pow.f64 a #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)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c))))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) #s(literal -1/6 binary64)) (/.f64 (*.f64 #s(literal 1/3 binary64) b) a)))))
(* 1/3 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(* -1 (* a (+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))))
(*.f64 (*.f64 (neg.f64 a) #s(literal -1/3 binary64)) (fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (/.f64 b a)))
(* -1 (* a (+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
(*.f64 (-.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 (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 #s(literal 1/3 binary64) b)) a)) (neg.f64 a))
(* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
(neg.f64 (*.f64 a (-.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 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (*.f64 #s(literal 1/24 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 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 (/ (* a c) b))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a c) b))
(* c (+ (* 3/8 (/ (* (pow a 2) c) (pow b 3))) (* 1/2 (/ a b))))
(*.f64 c (fma.f64 c (/.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 a a)) (*.f64 b (*.f64 b b))) (*.f64 #s(literal 1/2 binary64) (/.f64 a b))))
(* c (+ (* 1/2 (/ a b)) (* c (+ (* 3/8 (/ (pow a 2) (pow b 3))) (* 9/16 (/ (* (pow a 3) c) (pow b 5)))))))
(*.f64 c (fma.f64 c (fma.f64 (/.f64 (*.f64 a (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))) (*.f64 #s(literal 9/16 binary64) c) (/.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 a a)) (*.f64 b (*.f64 b b)))) (*.f64 #s(literal 1/2 binary64) (/.f64 a b))))
(* c (+ (* 1/2 (/ a b)) (* c (+ (* 3/8 (/ (pow a 2) (pow b 3))) (* c (+ (* 1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)) (* 9/16 (/ (pow a 3) (pow b 5)))))))))
(*.f64 c (fma.f64 c (fma.f64 c (fma.f64 #s(literal 9/16 binary64) (/.f64 (*.f64 a (*.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)))) b)) (/.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 a a)) (*.f64 b (*.f64 b b)))) (*.f64 #s(literal 1/2 binary64) (/.f64 a b))))
(* -1/3 (* (sqrt (* a c)) (sqrt -3)))
(*.f64 (sqrt.f64 (*.f64 a c)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -1/3 binary64)))
(* c (+ (* -1/3 (* (sqrt (/ a c)) (sqrt -3))) (* 1/3 (/ b c))))
(*.f64 c (fma.f64 #s(literal 1/3 binary64) (/.f64 b c) (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -1/3 binary64)))))
(* c (+ (* -1/3 (* (sqrt (/ a c)) (sqrt -3))) (+ (* -1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (/ b c)))))
(*.f64 c (fma.f64 #s(literal -1/6 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)))))) (fma.f64 #s(literal 1/3 binary64) (/.f64 b c) (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -1/3 binary64))))))
(* c (+ (* -1/3 (* (sqrt (/ a c)) (sqrt -3))) (+ (* -1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (+ (* 1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (* 1/3 (/ b c))))))
(*.f64 c (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 a c))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (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)) (fma.f64 #s(literal -1/6 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 #s(literal 1/3 binary64) b) c)))))
(* 1/3 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(* -1 (* c (+ (* -1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b c)))))
(*.f64 (*.f64 (neg.f64 c) #s(literal -1/3 binary64)) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 (/.f64 a c))) (/.f64 b c)))
(* -1 (* c (+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) c)) (* -1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))
(*.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 a c)) #s(literal -1/3 binary64)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 #s(literal 1/3 binary64) b)) (neg.f64 c))) (neg.f64 c))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) c)) (* 1/3 b)) c)) (* -1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))
(neg.f64 (*.f64 c (-.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (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 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c))))) (*.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)))) c)) c))))
(* -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))))
(fma.f64 a (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))
(fma.f64 a (fma.f64 a (/.f64 (*.f64 #s(literal -9/16 binary64) (*.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)))) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))
(fma.f64 a (fma.f64 a (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.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)))) (/.f64 (*.f64 c #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)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
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(neg.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c))))) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (neg.f64 a))
(* -1 (* a (+ (* -1/8 (* (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)))))))
(neg.f64 (*.f64 a (fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c))))) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c 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 -1/8 binary64)))))))
(* -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 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c 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 -1/8 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 7 binary64))))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 5 binary64)))) #s(literal 1/16 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c))))) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))))))) (neg.f64 a))
b
(+ b (* -3/2 (/ (* a c) b)))
(fma.f64 a (*.f64 (/.f64 c b) #s(literal -3/2 binary64)) b)
(+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))))
(fma.f64 c (fma.f64 c (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 #s(literal -3/2 binary64) a) 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))))))))
(fma.f64 c (fma.f64 c (fma.f64 (/.f64 (*.f64 a (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))) (*.f64 #s(literal -27/16 binary64) c) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 #s(literal -3/2 binary64) a) b)) b)
(* (sqrt (* a c)) (sqrt -3))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -3 binary64)))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))
(*.f64 c (fma.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 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 a 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)))))
(*.f64 c (fma.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64))))) #s(literal -1/8 binary64)) (fma.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 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 a c))))))
(* 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 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (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 -1/8 binary64)) (fma.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 7 binary64))))) #s(literal 1/16 binary64)) (fma.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 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 a c)))))))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(neg.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))))
(* -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 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 (/.f64 a c))))) (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 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 (/.f64 a c))) (fma.f64 (/.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #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 -1/8 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 (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 7 binary64)))))) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 (/.f64 a c))) (fma.f64 (/.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #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 -1/8 binary64)))))) (neg.f64 c))
(* -3 (* a c))
(*.f64 a (*.f64 c #s(literal -3 binary64)))
(+ (* -3 (* a c)) (pow b 2))
(fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))
(+ (* -3 (* a c)) (pow b 2))
(fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))
(+ (* -3 (* a c)) (pow b 2))
(fma.f64 a (*.f64 c #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) (fma.f64 a (*.f64 (/.f64 c (*.f64 b b)) #s(literal -3 binary64)) #s(literal 1 binary64)))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(*.f64 (*.f64 b b) (fma.f64 a (*.f64 (/.f64 c (*.f64 b b)) #s(literal -3 binary64)) #s(literal 1 binary64)))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(*.f64 (*.f64 b b) (fma.f64 a (*.f64 (/.f64 c (*.f64 b b)) #s(literal -3 binary64)) #s(literal 1 binary64)))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(*.f64 (*.f64 b b) (fma.f64 a (*.f64 (/.f64 c (*.f64 b b)) #s(literal -3 binary64)) #s(literal 1 binary64)))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(*.f64 (*.f64 b b) (fma.f64 a (*.f64 (/.f64 c (*.f64 b b)) #s(literal -3 binary64)) #s(literal 1 binary64)))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(*.f64 (*.f64 b b) (fma.f64 a (*.f64 (/.f64 c (*.f64 b b)) #s(literal -3 binary64)) #s(literal 1 binary64)))
(pow b 2)
(*.f64 b b)
(+ (* -3 (* a c)) (pow b 2))
(fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))
(+ (* -3 (* a c)) (pow b 2))
(fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))
(+ (* -3 (* a c)) (pow b 2))
(fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))
(* -3 (* a c))
(*.f64 a (*.f64 c #s(literal -3 binary64)))
(* a (+ (* -3 c) (/ (pow b 2) a)))
(*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -3 binary64))))
(* a (+ (* -3 c) (/ (pow b 2) a)))
(*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -3 binary64))))
(* a (+ (* -3 c) (/ (pow b 2) a)))
(*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -3 binary64))))
(* -3 (* a c))
(*.f64 a (*.f64 c #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))
(fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))
(+ (* -3 (* a c)) (pow b 2))
(fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))
(+ (* -3 (* a c)) (pow b 2))
(fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))
(* -3 (* a c))
(*.f64 a (*.f64 c #s(literal -3 binary64)))
(* c (+ (* -3 a) (/ (pow b 2) c)))
(*.f64 c (fma.f64 a #s(literal -3 binary64) (/.f64 (*.f64 b b) c)))
(* c (+ (* -3 a) (/ (pow b 2) c)))
(*.f64 c (fma.f64 a #s(literal -3 binary64) (/.f64 (*.f64 b b) c)))
(* c (+ (* -3 a) (/ (pow b 2) c)))
(*.f64 c (fma.f64 a #s(literal -3 binary64) (/.f64 (*.f64 b b) c)))
(* -3 (* a c))
(*.f64 a (*.f64 c #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))

eval201.0ms (1.7%)

Memory
16.1MiB live, 277.5MiB allocated
Compiler

Compiled 31 123 to 3 561 computations (88.6% saved)

prune405.0ms (3.5%)

Memory
-5.1MiB live, 320.6MiB allocated
Pruning

36 alts after pruning (31 fresh and 5 done)

PrunedKeptTotal
New1 381171 398
Fresh81422
Picked235
Done123
Total1 392361 428
Accuracy
94.3%
Counts
1 428 → 36
Alt Table
Click to see full alt table
StatusAccuracyProgram
38.8%
(fma.f64 c (/.f64 #s(literal 1/2 binary64) b) (*.f64 b (/.f64 #s(literal -2/3 binary64) a)))
14.3%
(pow.f64 (*.f64 (/.f64 a (*.f64 b #s(literal -2/3 binary64))) (/.f64 a (*.f64 b #s(literal -2/3 binary64)))) #s(literal -1/2 binary64))
38.7%
(/.f64 (/.f64 (-.f64 b (neg.f64 b)) a) #s(literal -3 binary64))
24.0%
(/.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b) (*.f64 #s(literal 3 binary64) a))
24.0%
(/.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b) (*.f64 #s(literal 3 binary64) a))
51.6%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))
34.0%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a))
26.1%
(/.f64 (*.f64 (fma.f64 b b (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) #s(literal 1/3 binary64)) (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a))
32.8%
(/.f64 (*.f64 (/.f64 c b) #s(literal 3/2 binary64)) #s(literal -3 binary64))
51.5%
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a)
51.5%
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) b) #s(literal -1/3 binary64)) (neg.f64 a))
32.4%
(/.f64 (*.f64 c (fma.f64 a (*.f64 (/.f64 c (*.f64 b b)) #s(literal -3/8 binary64)) #s(literal -1/2 binary64))) b)
7.8%
(/.f64 (*.f64 c #s(literal 1/2 binary64)) b)
32.9%
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b)
38.7%
(/.f64 (*.f64 b #s(literal -2/3 binary64)) a)
38.7%
(/.f64 b (*.f64 a #s(literal -3/2 binary64)))
38.6%
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b #s(literal -2/3 binary64))))
38.6%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 a #s(literal -3/2 binary64))))
38.7%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -3/2 binary64) b) a))
15.6%
(*.f64 (fma.f64 c (/.f64 #s(literal -1/2 binary64) (*.f64 b b)) (exp.f64 (*.f64 (log.f64 (*.f64 a #s(literal 3/2 binary64))) #s(literal -1 binary64)))) (neg.f64 b))
51.5%
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) a) #s(literal 1/3 binary64))
51.5%
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) b) a) #s(literal 1/3 binary64))
38.7%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3/2 binary64))) b)
38.7%
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b #s(literal -2/3 binary64)))
51.5%
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b))
38.7%
(*.f64 (/.f64 #s(literal -2/3 binary64) a) b)
34.1%
(*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -3 binary64)))) b) #s(literal -3 binary64)))
24.1%
(*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a c) b)))
38.6%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) b) #s(literal -2/3 binary64))
38.6%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -2/3 binary64)) b)
20.3%
(*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 a #s(literal -3/2 binary64))) #s(literal -1 binary64))) b)
31.0%
(*.f64 c (fma.f64 (*.f64 b #s(literal -2/3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 a c)) (/.f64 #s(literal 1/2 binary64) b)))
31.0%
(*.f64 c (fma.f64 #s(literal -2/3 binary64) (/.f64 b (*.f64 a c)) (/.f64 #s(literal 1/2 binary64) b)))
21.8%
(*.f64 c (/.f64 (fma.f64 (/.f64 b (*.f64 a #s(literal -3/2 binary64))) b (*.f64 c #s(literal 1/2 binary64))) (*.f64 c b)))
7.8%
(*.f64 c (/.f64 #s(literal 1/2 binary64) b))
16.0%
(exp.f64 (*.f64 (log.f64 (/.f64 a (*.f64 b #s(literal -2/3 binary64)))) #s(literal -1 binary64)))
Compiler

Compiled 934 to 655 computations (29.9% saved)

simplify316.0ms (2.7%)

Memory
5.2MiB live, 278.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))
cost-diff0
(-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b)
cost-diff0
(*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64))
cost-diff0
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a)
cost-diff0
(*.f64 c #s(literal -3/2 binary64))
cost-diff0
(*.f64 a (*.f64 c #s(literal -3/2 binary64)))
cost-diff0
(/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)
cost-diff1344
(/.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b) (*.f64 #s(literal 3 binary64) a))
cost-diff0
(*.f64 a #s(literal -3/2 binary64))
cost-diff0
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3/2 binary64))) b)
cost-diff320
(/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3/2 binary64)))
cost-diff0
(/.f64 #s(literal 1/2 binary64) b)
cost-diff0
(*.f64 c (/.f64 #s(literal 1/2 binary64) b))
cost-diff0
(sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))
cost-diff0
(-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b)
cost-diff0
(/.f64 #s(literal 1/3 binary64) a)
cost-diff0
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b))
Rules
4 414×*-lowering-*.f32
4 414×*-lowering-*.f64
4 386×accelerator-lowering-fma.f32
4 386×accelerator-lowering-fma.f64
3 622×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029201
161197
2148191
3491191
41340191
52110191
62684191
73094191
83424191
93723191
106200191
08732182
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(* (/ 1/3 a) (- (sqrt (+ (* b b) (* a (* -3 c)))) b))
(/ 1/3 a)
1/3
a
(- (sqrt (+ (* b b) (* a (* -3 c)))) b)
(sqrt (+ (* b b) (* a (* -3 c))))
(+ (* b b) (* a (* -3 c)))
b
(* a (* -3 c))
(* -3 c)
-3
c
(* c (/ 1/2 b))
c
(/ 1/2 b)
1/2
b
(* (/ 1 (* a -3/2)) b)
(/ 1 (* a -3/2))
1
(* a -3/2)
a
-3/2
b
(/ (/ (* a (* c -3/2)) b) (* 3 a))
(/ (* a (* c -3/2)) b)
(* a (* c -3/2))
a
(* c -3/2)
c
-3/2
b
(* 3 a)
3
(/ (* (- (sqrt (+ (* b b) (* a (* -3 c)))) b) 1/3) a)
(* (- (sqrt (+ (* b b) (* a (* -3 c)))) b) 1/3)
(- (sqrt (+ (* b b) (* a (* -3 c)))) b)
(sqrt (+ (* b b) (* a (* -3 c))))
(+ (* b b) (* a (* -3 c)))
b
(* a (* -3 c))
a
(* -3 c)
-3
c
1/3
Outputs
(* (/ 1/3 a) (- (sqrt (+ (* b b) (* a (* -3 c)))) b))
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) b))
(/ 1/3 a)
(/.f64 #s(literal 1/3 binary64) a)
1/3
#s(literal 1/3 binary64)
a
(- (sqrt (+ (* b b) (* a (* -3 c)))) b)
(-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) b)
(sqrt (+ (* b b) (* a (* -3 c))))
(sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))
(+ (* b b) (* a (* -3 c)))
(fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))
b
(* a (* -3 c))
(*.f64 a (*.f64 #s(literal -3 binary64) c))
(* -3 c)
(*.f64 #s(literal -3 binary64) c)
-3
#s(literal -3 binary64)
c
(* c (/ 1/2 b))
(*.f64 c (/.f64 #s(literal 1/2 binary64) b))
c
(/ 1/2 b)
(/.f64 #s(literal 1/2 binary64) b)
1/2
#s(literal 1/2 binary64)
b
(* (/ 1 (* a -3/2)) b)
(/.f64 b (*.f64 a #s(literal -3/2 binary64)))
(/ 1 (* a -3/2))
(/.f64 #s(literal -2/3 binary64) a)
1
#s(literal 1 binary64)
(* a -3/2)
(*.f64 a #s(literal -3/2 binary64))
a
-3/2
#s(literal -3/2 binary64)
b
(/ (/ (* a (* c -3/2)) b) (* 3 a))
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b)
(/ (* a (* c -3/2)) b)
(*.f64 a (/.f64 (*.f64 c #s(literal -3/2 binary64)) b))
(* a (* c -3/2))
(*.f64 a (*.f64 c #s(literal -3/2 binary64)))
a
(* c -3/2)
(*.f64 c #s(literal -3/2 binary64))
c
-3/2
#s(literal -3/2 binary64)
b
(* 3 a)
(*.f64 a #s(literal 3 binary64))
3
#s(literal 3 binary64)
(/ (* (- (sqrt (+ (* b b) (* a (* -3 c)))) b) 1/3) a)
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) b))
(* (- (sqrt (+ (* b b) (* a (* -3 c)))) b) 1/3)
(*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) b))
(- (sqrt (+ (* b b) (* a (* -3 c)))) b)
(-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) b)
(sqrt (+ (* b b) (* a (* -3 c))))
(sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))
(+ (* b b) (* a (* -3 c)))
(fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))
b
(* a (* -3 c))
(*.f64 a (*.f64 #s(literal -3 binary64) c))
a
(* -3 c)
(*.f64 #s(literal -3 binary64) c)
-3
#s(literal -3 binary64)
c
1/3
#s(literal 1/3 binary64)

localize219.0ms (1.9%)

Memory
-33.2MiB live, 185.0MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy98.0%
(fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))
accuracy94.8%
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a)
accuracy79.5%
(-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b)
accuracy60.1%
(sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))
accuracy100.0%
(*.f64 #s(literal 3 binary64) a)
accuracy99.7%
(*.f64 a (*.f64 c #s(literal -3/2 binary64)))
accuracy92.1%
(/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)
accuracy86.4%
(/.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b) (*.f64 #s(literal 3 binary64) a))
accuracy100.0%
(*.f64 a #s(literal -3/2 binary64))
accuracy99.7%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3/2 binary64))) b)
accuracy99.6%
(/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3/2 binary64)))
accuracy100.0%
(/.f64 #s(literal 1/2 binary64) b)
accuracy99.7%
(*.f64 c (/.f64 #s(literal 1/2 binary64) b))
accuracy98.0%
(fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))
accuracy94.7%
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b))
accuracy79.5%
(-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b)
accuracy60.1%
(sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))
Samples
63.0ms178×0valid
38.0ms33×1valid
36.0ms38×2valid
2.0ms4valid
2.0ms3valid
1.0ms5exit
Compiler

Compiled 194 to 31 computations (84% saved)

Precisions
Click to see histograms. Total time spent on operations: 62.0ms
ival-mult: 37.0ms (59.7% of total)
ival-div: 11.0ms (17.8% of total)
const: 4.0ms (6.5% of total)
ival-sqrt: 3.0ms (4.8% of total)
adjust: 2.0ms (3.2% of total)
ival-sub: 2.0ms (3.2% of total)
ival-add: 2.0ms (3.2% of total)
exact: 1.0ms (1.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series22.0ms (0.2%)

Memory
25.0MiB live, 25.0MiB allocated
Counts
17 → 432
Calls
Call 1
Inputs
#<alt (* (/ 1/3 a) (- (sqrt (+ (* b b) (* a (* -3 c)))) b))>
#<alt (/ 1/3 a)>
#<alt (- (sqrt (+ (* b b) (* a (* -3 c)))) b)>
#<alt (sqrt (+ (* b b) (* a (* -3 c))))>
#<alt (* c (/ 1/2 b))>
#<alt (/ 1/2 b)>
#<alt (/ 1 (* a -3/2))>
#<alt (* (/ 1 (* a -3/2)) b)>
#<alt (* a -3/2)>
#<alt (/ (/ (* a (* c -3/2)) b) (* 3 a))>
#<alt (/ (* a (* c -3/2)) b)>
#<alt (* a (* c -3/2))>
#<alt (* c -3/2)>
#<alt (/ (* (- (sqrt (+ (* b b) (* a (* -3 c)))) b) 1/3) a)>
#<alt (* (- (sqrt (+ (* b b) (* a (* -3 c)))) b) 1/3)>
#<alt (+ (* b b) (* a (* -3 c)))>
#<alt (* 3 a)>
Outputs
#<alt (* -1/2 (/ c b))>
#<alt (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))>
#<alt (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))>
#<alt (+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))>
#<alt (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))>
#<alt (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))>
#<alt (+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))>
#<alt (+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))>
#<alt (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))>
#<alt (+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))>
#<alt (+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))>
#<alt (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))>
#<alt (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))>
#<alt (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a)))))>
#<alt (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a)))))>
#<alt (* -1/2 (/ c b))>
#<alt (/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)>
#<alt (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)>
#<alt (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)>
#<alt (* -2/3 (/ b a))>
#<alt (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))>
#<alt (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))>
#<alt (* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))))>
#<alt (* -1/2 (/ c b))>
#<alt (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))>
#<alt (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))>
#<alt (* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))>
#<alt (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))>
#<alt (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))>
#<alt (* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))>
#<alt (* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))>
#<alt (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))>
#<alt (* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c))))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))>
#<alt (/ 1/3 a)>
#<alt (/ 1/3 a)>
#<alt (/ 1/3 a)>
#<alt (/ 1/3 a)>
#<alt (/ 1/3 a)>
#<alt (/ 1/3 a)>
#<alt (/ 1/3 a)>
#<alt (/ 1/3 a)>
#<alt (/ 1/3 a)>
#<alt (/ 1/3 a)>
#<alt (/ 1/3 a)>
#<alt (/ 1/3 a)>
#<alt (* (sqrt (* a c)) (sqrt -3))>
#<alt (+ (* -1 b) (* (sqrt (* a c)) (sqrt -3)))>
#<alt (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3)))>
#<alt (+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3)))>
#<alt (* -3/2 (/ (* a c) b))>
#<alt (/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)>
#<alt (/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)>
#<alt (/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)>
#<alt (* -2 b)>
#<alt (* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2))))))>
#<alt (* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))>
#<alt (* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))>
#<alt (* -3/2 (/ (* a c) b))>
#<alt (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))>
#<alt (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))>
#<alt (* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))))>
#<alt (* (sqrt (* a c)) (sqrt -3))>
#<alt (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3))))>
#<alt (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a)))>
#<alt (* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a)))>
#<alt (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))>
#<alt (* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a))))>
#<alt (* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))>
#<alt (* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))>
#<alt (* -3/2 (/ (* a c) b))>
#<alt (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))>
#<alt (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))>
#<alt (* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b))))))))>
#<alt (* (sqrt (* a c)) (sqrt -3))>
#<alt (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3))))>
#<alt (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c)))>
#<alt (* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c)))>
#<alt (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))>
#<alt (* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c))))>
#<alt (* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))>
#<alt (* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))>
#<alt (* (sqrt (* a c)) (sqrt -3))>
#<alt (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (* a c)) (sqrt -3)))>
#<alt (+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))))>
#<alt (+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5)))))))))>
#<alt b>
#<alt (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))>
#<alt (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))>
#<alt (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))>
#<alt (* -1 b)>
#<alt (* -1 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))))>
#<alt (* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))>
#<alt (* -1 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))>
#<alt b>
#<alt (+ b (* -3/2 (/ (* a c) b)))>
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#<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 (* 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

108 calls:

TimeVariablePointExpression
1.0ms
a
@0
(/ (/ (* a (* c -3/2)) b) (* 3 a))
1.0ms
c
@0
(/ (* a (* c -3/2)) b)
0.0ms
b
@0
(/ (* a (* c -3/2)) b)
0.0ms
b
@inf
(* (- (sqrt (+ (* b b) (* a (* -3 c)))) b) 1/3)
0.0ms
a
@-inf
(* (- (sqrt (+ (* b b) (* a (* -3 c)))) b) 1/3)

rewrite415.0ms (3.6%)

Memory
-8.3MiB live, 655.1MiB allocated
Algorithm
batch-egg-rewrite
Rules
6 332×*-lowering-*.f32
6 332×*-lowering-*.f64
5 380×accelerator-lowering-fma.f32
5 380×accelerator-lowering-fma.f64
3 782×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029132
1126128
2885124
08377118
Stop Event
iter limit
node limit
Counts
17 → 1 167
Calls
Call 1
Inputs
(* (/ 1/3 a) (- (sqrt (+ (* b b) (* a (* -3 c)))) b))
(/ 1/3 a)
(- (sqrt (+ (* b b) (* a (* -3 c)))) b)
(sqrt (+ (* b b) (* a (* -3 c))))
(* c (/ 1/2 b))
(/ 1/2 b)
(/ 1 (* a -3/2))
(* (/ 1 (* a -3/2)) b)
(* a -3/2)
(/ (/ (* a (* c -3/2)) b) (* 3 a))
(/ (* a (* c -3/2)) b)
(* a (* c -3/2))
(* c -3/2)
(/ (* (- (sqrt (+ (* b b) (* a (* -3 c)))) b) 1/3) a)
(* (- (sqrt (+ (* b b) (* a (* -3 c)))) b) 1/3)
(+ (* b b) (* a (* -3 c)))
(* 3 a)
Outputs
(+.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) (neg.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) b)))
(+.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) b)) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))))
(+.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (/.f64 (*.f64 (neg.f64 b) #s(literal 1/3 binary64)) a))
(+.f64 (/.f64 (*.f64 (neg.f64 b) #s(literal 1/3 binary64)) a) (/.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 a #s(literal 3 binary64))))
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 a #s(literal 3 binary64)))) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 b) #s(literal 1/3 binary64)) a)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) #s(literal 1/3 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (neg.f64 b) #s(literal 1/3 binary64))))
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) b)) #s(literal 1 binary64)))
(+.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 (*.f64 (neg.f64 b) #s(literal 1/3 binary64)) a) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) (/.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 #s(literal -1/3 binary64) b) (/.f64 #s(literal 1 binary64) a)))
(exp.f64 (*.f64 (log.f64 (/.f64 a (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) b)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) b) a)))
(-.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (/.f64 b (*.f64 a #s(literal 3 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b (*.f64 b (+.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))))))) (*.f64 a #s(literal 3 binary64))) (/.f64 (/.f64 (*.f64 b (*.f64 b b)) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b (*.f64 b (+.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))))))) (*.f64 a #s(literal 3 binary64))))
(-.f64 (/.f64 (/.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)) (+.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))))) (*.f64 a #s(literal 3 binary64))) (/.f64 (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))))) (*.f64 a #s(literal 3 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 a)) (*.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) b) a)))
(fma.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) (neg.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) b)))
(fma.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) (neg.f64 b)) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))))
(fma.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) (neg.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) b)))
(fma.f64 (/.f64 #s(literal 1/3 binary64) a) (neg.f64 b) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) (/.f64 #s(literal 1/3 binary64) a) (/.f64 (*.f64 (neg.f64 b) #s(literal 1/3 binary64)) a))
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) (neg.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) b)))
(fma.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) b)) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))))
(fma.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 b) #s(literal 1/3 binary64)) a)))
(fma.f64 #s(literal -1 binary64) (*.f64 b (/.f64 #s(literal 1/3 binary64) a)) (/.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 a #s(literal 3 binary64))))
(fma.f64 (neg.f64 b) (/.f64 #s(literal 1/3 binary64) a) (/.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 a #s(literal 3 binary64))))
(fma.f64 #s(literal -1/3 binary64) (*.f64 (/.f64 #s(literal -1 binary64) a) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) (neg.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) b)))
(fma.f64 #s(literal -1/3 binary64) (*.f64 (/.f64 #s(literal -1 binary64) a) (neg.f64 b)) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))))
(fma.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) (neg.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) b)))
(fma.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal -1/3 binary64) b) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))))
(fma.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) #s(literal 1/3 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (neg.f64 b) #s(literal 1/3 binary64))))
(fma.f64 (pow.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1/3 binary64) a)) (/.f64 (*.f64 (neg.f64 b) #s(literal 1/3 binary64)) a))
(fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) (/.f64 #s(literal 1 binary64) a) (*.f64 (*.f64 #s(literal -1/3 binary64) b) (/.f64 #s(literal 1 binary64) a)))
(fma.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) b)) #s(literal 1 binary64)))
(fma.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) a) (/.f64 (*.f64 (neg.f64 b) #s(literal 1/3 binary64)) a))
(fma.f64 (*.f64 (neg.f64 b) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) a) (/.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 a #s(literal 3 binary64))))
(fma.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (neg.f64 b) #s(literal 1/3 binary64)) a) #s(literal 1 binary64)))
(fma.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) a) (/.f64 (*.f64 (neg.f64 b) #s(literal 1/3 binary64)) a))
(fma.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64) (/.f64 (*.f64 (neg.f64 b) #s(literal 1/3 binary64)) a))
(fma.f64 (*.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 a #s(literal 3 binary64))))
(fma.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) #s(literal -1/3 binary64)) (/.f64 #s(literal -1 binary64) a) (/.f64 (*.f64 (neg.f64 b) #s(literal 1/3 binary64)) a))
(fma.f64 (*.f64 (neg.f64 b) #s(literal -1/3 binary64)) (/.f64 #s(literal -1 binary64) a) (/.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 a #s(literal 3 binary64))))
(fma.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (pow.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)) #s(literal 1/4 binary64)) (neg.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) b)))
(fma.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) #s(literal -1 binary64)) b (*.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))))
(neg.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) b) a)))
(neg.f64 (*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) b)))
(neg.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) b) (/.f64 #s(literal -1/3 binary64) a)))
(neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) b) a))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 a (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) b)))))
(/.f64 #s(literal 1/3 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) b)))
(/.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) b)) a))
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) b)))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) b))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) b)) (*.f64 a #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b (*.f64 b (+.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))))))) (*.f64 #s(literal 1/3 binary64) (-.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) (*.f64 b (*.f64 b b))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (+.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))))) (*.f64 #s(literal 1/3 binary64) (-.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)) (*.f64 b b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 a (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b (*.f64 b (+.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))))))))) (-.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) (*.f64 b (*.f64 b b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (*.f64 a (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b (*.f64 b (+.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))))))))) (*.f64 #s(literal -1/3 binary64) (-.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) (*.f64 b (*.f64 b b))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 a) (+.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))))) (*.f64 #s(literal -1/3 binary64) (-.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)) (*.f64 b b)))))
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(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 c (*.f64 c c)) #s(literal -27 binary64)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)))) (-.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 c (*.f64 c c)) #s(literal -27 binary64))))) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 c (*.f64 c c)) #s(literal -27 binary64)))) (fma.f64 a (*.f64 (*.f64 #s(literal -3 binary64) c) (-.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (*.f64 b b))) (*.f64 b (*.f64 b (*.f64 b b))))))
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 c (*.f64 c c)) #s(literal -27 binary64)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)))) (-.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 c (*.f64 c c)) #s(literal -27 binary64))))) #s(literal 1 binary64)) (*.f64 (fma.f64 b (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 c (*.f64 c (*.f64 (*.f64 a a) #s(literal 9 binary64)))) (fma.f64 c (*.f64 c (*.f64 (*.f64 a a) #s(literal 9 binary64))) (*.f64 b (*.f64 b (*.f64 b b)))))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 3 binary64))))))
(/.f64 (*.f64 (*.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 c (*.f64 c (*.f64 (*.f64 a a) #s(literal 9 binary64))))) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 3 binary64)))))) #s(literal 1 binary64)) (*.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 c (*.f64 c (*.f64 (*.f64 a a) #s(literal 9 binary64))))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 3 binary64))))))
(/.f64 (*.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 c (*.f64 c c)) #s(literal -27 binary64)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)))) #s(literal 1 binary64)) (fma.f64 a (*.f64 (*.f64 #s(literal -3 binary64) c) (-.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (*.f64 b b))) (*.f64 b (*.f64 b (*.f64 b b)))))
(/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 3 binary64))))) #s(literal 1 binary64)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 3 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 c (*.f64 c c)) #s(literal -27 binary64)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)))))) (neg.f64 (neg.f64 (fma.f64 a (*.f64 (*.f64 #s(literal -3 binary64) c) (-.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (*.f64 b b))) (*.f64 b (*.f64 b (*.f64 b b)))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 3 binary64))))))) (neg.f64 (fma.f64 b (neg.f64 b) (*.f64 a (*.f64 #s(literal -3 binary64) c)))))
(/.f64 (neg.f64 (fma.f64 c (*.f64 c (*.f64 (*.f64 a a) #s(literal 9 binary64))) (neg.f64 (*.f64 b (*.f64 b (*.f64 b b)))))) (neg.f64 (-.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (*.f64 b b))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 3 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 c (*.f64 c (*.f64 (*.f64 a a) #s(literal 9 binary64)))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 3 binary64))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 3 binary64))))) (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 3 binary64))))) (fma.f64 (/.f64 (*.f64 c (*.f64 c (*.f64 (*.f64 a a) #s(literal 9 binary64)))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 3 binary64))))) (/.f64 (*.f64 c (*.f64 c (*.f64 (*.f64 a a) #s(literal 9 binary64)))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 3 binary64))))) (*.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 3 binary64))))) (/.f64 (*.f64 c (*.f64 c (*.f64 (*.f64 a a) #s(literal 9 binary64)))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 3 binary64)))))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 3 binary64))))) (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 3 binary64)))))) (*.f64 (/.f64 (*.f64 c (*.f64 c (*.f64 (*.f64 a a) #s(literal 9 binary64)))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 3 binary64))))) (/.f64 (*.f64 c (*.f64 c (*.f64 (*.f64 a a) #s(literal 9 binary64)))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 3 binary64))))))) (+.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 3 binary64))))) (/.f64 (*.f64 c (*.f64 c (*.f64 (*.f64 a a) #s(literal 9 binary64)))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 3 binary64)))))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) (sqrt.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 c (*.f64 c c)) #s(literal -27 binary64)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)))))) (sqrt.f64 (fma.f64 a (*.f64 (*.f64 #s(literal -3 binary64) c) (-.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (*.f64 b b))) (*.f64 b (*.f64 b (*.f64 b b))))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) (sqrt.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 3 binary64))))))) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal 3 binary64))))))
(pow.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) #s(literal 2 binary64))
(pow.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)) (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) #s(literal -1 binary64))
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)) (*.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 3 binary64)))))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))
(*.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 c (*.f64 c c)) #s(literal -27 binary64)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 (*.f64 #s(literal -3 binary64) c) (-.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (*.f64 b b))) (*.f64 b (*.f64 b (*.f64 b b))))))
(*.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 c (*.f64 c c)) #s(literal -27 binary64)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (fma.f64 c (*.f64 c (*.f64 (*.f64 a a) #s(literal 9 binary64))) (*.f64 (*.f64 b b) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 3 binary64))))))))
(*.f64 (fma.f64 a (*.f64 (*.f64 #s(literal -3 binary64) c) (-.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (*.f64 b b))) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 (*.f64 #s(literal -3 binary64) c) (-.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (*.f64 b b))) (*.f64 b (*.f64 b (*.f64 b b)))))))
(*.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 3 binary64))))))
(*.f64 (neg.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 c (*.f64 c c)) #s(literal -27 binary64)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 a (*.f64 (*.f64 #s(literal -3 binary64) c) (-.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (*.f64 b b))) (*.f64 b (*.f64 b (*.f64 b b)))))))
(*.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) (fma.f64 b (neg.f64 b) (*.f64 a (*.f64 #s(literal -3 binary64) c)))))
(*.f64 (fma.f64 c (*.f64 c (*.f64 (*.f64 a a) #s(literal 9 binary64))) (neg.f64 (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (*.f64 b b))))
(*.f64 (pow.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)) #s(literal 1/4 binary64)) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))))
(*.f64 (pow.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 c (*.f64 c c)) #s(literal -27 binary64)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 (*.f64 #s(literal -3 binary64) c) (-.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (*.f64 b b))) (*.f64 b (*.f64 b (*.f64 b b))))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 3 binary64))))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 3 binary64))))) #s(literal 1 binary64)))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) (pow.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)) #s(literal 1/4 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 a #s(literal -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 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) a) #s(literal 1 binary64)))
(/.f64 (*.f64 a #s(literal 3 binary64)) #s(literal 1 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 (neg.f64 a) #s(literal -1/3 binary64))
(pow.f64 (/.f64 #s(literal 1/3 binary64) a) #s(literal -1 binary64))
(pow.f64 (*.f64 a #s(literal 3 binary64)) #s(literal 1 binary64))
(*.f64 a #s(literal 3 binary64))
(*.f64 #s(literal -3 binary64) (neg.f64 a))
(*.f64 #s(literal 1 binary64) (*.f64 a #s(literal 3 binary64)))
(*.f64 #s(literal 3 binary64) a)
(*.f64 (*.f64 a #s(literal 3 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 a #s(literal -3 binary64)))
(*.f64 (neg.f64 a) #s(literal -3 binary64))

simplify474.0ms (4.1%)

Memory
2.1MiB live, 888.7MiB allocated
Algorithm
egg-herbie
Rules
13 850×accelerator-lowering-fma.f32
13 850×accelerator-lowering-fma.f64
9 358×*-lowering-*.f32
9 358×*-lowering-*.f64
3 808×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06876493
122396448
276296388
086556130
Stop Event
iter limit
node limit
Counts
432 → 432
Calls
Call 1
Inputs
(* -1/2 (/ c b))
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a)))))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a)))))
(* -1/2 (/ c b))
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -2/3 (/ b a))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))))
(* -1/2 (/ c b))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(/ 1/3 a)
(/ 1/3 a)
(/ 1/3 a)
(/ 1/3 a)
(/ 1/3 a)
(/ 1/3 a)
(/ 1/3 a)
(/ 1/3 a)
(/ 1/3 a)
(/ 1/3 a)
(/ 1/3 a)
(/ 1/3 a)
(* (sqrt (* a c)) (sqrt -3))
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -3)))
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3)))
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(* -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))))))
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(* -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))))
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(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
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(* 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)))))))
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(* (sqrt (* a c)) (sqrt -3))
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3))))
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(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
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(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))
(* (sqrt (* a c)) (sqrt -3))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (* a c)) (sqrt -3)))
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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)))))))
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b
(+ b (* -3/2 (/ (* a c) b)))
(+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -3))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))
b
(+ b (* -3/2 (/ (* a c) b)))
(+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -3))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))
(* 1/2 (/ c b))
(* 1/2 (/ c b))
(* 1/2 (/ c b))
(* 1/2 (/ c b))
(* 1/2 (/ c b))
(* 1/2 (/ c b))
(* 1/2 (/ c b))
(* 1/2 (/ c b))
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(* 1/2 (/ c b))
(* 1/2 (/ c b))
(* 1/2 (/ c b))
(* 1/2 (/ c b))
(* 1/2 (/ c b))
(* 1/2 (/ c b))
(* 1/2 (/ c b))
(* 1/2 (/ c b))
(* 1/2 (/ c b))
(* 1/2 (/ c b))
(* 1/2 (/ c b))
(* 1/2 (/ c b))
(* 1/2 (/ c b))
(* 1/2 (/ c b))
(* 1/2 (/ c b))
(/ 1/2 b)
(/ 1/2 b)
(/ 1/2 b)
(/ 1/2 b)
(/ 1/2 b)
(/ 1/2 b)
(/ 1/2 b)
(/ 1/2 b)
(/ 1/2 b)
(/ 1/2 b)
(/ 1/2 b)
(/ 1/2 b)
(/ -2/3 a)
(/ -2/3 a)
(/ -2/3 a)
(/ -2/3 a)
(/ -2/3 a)
(/ -2/3 a)
(/ -2/3 a)
(/ -2/3 a)
(/ -2/3 a)
(/ -2/3 a)
(/ -2/3 a)
(/ -2/3 a)
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
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(* -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))
(* -3/2 a)
(* -3/2 a)
(* -3/2 a)
(* -3/2 a)
(* -3/2 a)
(* -3/2 a)
(* -3/2 a)
(* -3/2 a)
(* -3/2 a)
(* -3/2 a)
(* -3/2 a)
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(* -1/2 (/ c b))
(* -1/2 (/ c b))
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(* -1/2 (/ c b))
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(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
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(* -1/2 (/ c b))
(* -1/2 (/ c b))
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(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (* a c))
(* -3/2 (* a c))
(* -3/2 (* a c))
(* -3/2 (* a c))
(* -3/2 (* a c))
(* -3/2 (* a c))
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(* -3/2 c)
(* -3/2 c)
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(* -3/2 c)
(* -3/2 c)
(* -3/2 c)
(* -3/2 c)
(* -3/2 c)
(* -3/2 c)
(* -3/2 c)
(* -3/2 c)
(* -3/2 c)
(* 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))))))
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(* 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 (* a c))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(pow b 2)
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(pow b 2)
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(pow b 2)
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(* -3 (* a c))
(* a (+ (* -3 c) (/ (pow b 2) a)))
(* a (+ (* -3 c) (/ (pow b 2) a)))
(* a (+ (* -3 c) (/ (pow b 2) a)))
(* -3 (* a c))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))
(pow b 2)
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(* -3 (* a c))
(* c (+ (* -3 a) (/ (pow b 2) c)))
(* c (+ (* -3 a) (/ (pow b 2) c)))
(* c (+ (* -3 a) (/ (pow b 2) c)))
(* -3 (* a c))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a))))
(* 3 a)
(* 3 a)
(* 3 a)
(* 3 a)
(* 3 a)
(* 3 a)
(* 3 a)
(* 3 a)
(* 3 a)
(* 3 a)
(* 3 a)
(* 3 a)
Outputs
(* -1/2 (/ c b))
(/.f64 (*.f64 #s(literal -1/2 binary64) c) b)
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 c b) (/.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c 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))))))
(fma.f64 a (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))) (*.f64 (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) (*.f64 #s(literal -9/16 binary64) a))) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b))
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 c b) (*.f64 a (fma.f64 a (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) a) (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 405/64 binary64)) (pow.f64 b #s(literal 6 binary64)))) b)) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 b (*.f64 b 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))))
(fma.f64 b (/.f64 #s(literal -1/3 binary64) a) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/3 binary64))))
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))
(fma.f64 b (/.f64 #s(literal -1/3 binary64) a) (fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/3 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (*.f64 b (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1/6 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))))))
(fma.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c c) (*.f64 c (pow.f64 a #s(literal 5 binary64)))))) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/72 binary64) (fma.f64 b (/.f64 #s(literal -1/3 binary64) a) (fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/3 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (*.f64 b (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1/6 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) (fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (/.f64 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)))))
(fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (*.f64 b #s(literal 1/3 binary64))) (neg.f64 a)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(-.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal -1/3 binary64))) (/.f64 (-.f64 (*.f64 b #s(literal 1/3 binary64)) (/.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 c (*.f64 c a))))) (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 3 binary64))) #s(literal 1/72 binary64) (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 b b))) (sqrt.f64 #s(literal 3 binary64)))) a)) a))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/3 binary64)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(fma.f64 b (/.f64 #s(literal -1/3 binary64) a) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/3 binary64))))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a)))))
(fma.f64 b (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (/.f64 b (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/6 binary64)) (/.f64 #s(literal -1/3 binary64) a)) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/3 binary64))))
(+ (* 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)))))
(fma.f64 b (fma.f64 b (fma.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c c) (*.f64 c (pow.f64 a #s(literal 5 binary64)))))) (*.f64 b b)) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/72 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)) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/3 binary64))))
(* -1/2 (/ c b))
(/.f64 (*.f64 #s(literal -1/2 binary64) c) b)
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)
(/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c (*.f64 c a)) (*.f64 b b)) (*.f64 #s(literal -1/2 binary64) c)) 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 (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c (*.f64 c a)) (*.f64 b b)) (*.f64 #s(literal -1/2 binary64) c))) 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 (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 (*.f64 c c) (*.f64 c (*.f64 a a))) (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c (*.f64 c a)) (*.f64 b b)) (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 405/64 binary64))) (*.f64 a (pow.f64 b #s(literal 6 binary64)))) (*.f64 #s(literal -1/2 binary64) c)))) 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 (fma.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b b)) (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c (*.f64 c a)) (pow.f64 b #s(literal 4 binary64))) (/.f64 #s(literal 2/3 binary64) a))) (neg.f64 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 (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 (*.f64 c c) (*.f64 c (*.f64 a a))) (pow.f64 b #s(literal 6 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b b)) (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c (*.f64 c a)) (pow.f64 b #s(literal 4 binary64))) (/.f64 #s(literal 2/3 binary64) a)))) (neg.f64 b))
(* -1/2 (/ c b))
(/.f64 (*.f64 #s(literal -1/2 binary64) c) b)
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(*.f64 c (fma.f64 c (/.f64 (*.f64 #s(literal -3/8 binary64) 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 (fma.f64 c (fma.f64 c (/.f64 (*.f64 #s(literal -9/16 binary64) (*.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 (fma.f64 c (fma.f64 c (fma.f64 #s(literal -1/6 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 405/64 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 c (*.f64 b a))) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.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)))
(* 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 (fma.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 -1/3 binary64) (/.f64 b (*.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 (fma.f64 b (/.f64 #s(literal -1/3 binary64) (*.f64 c a)) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 b (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c c) (*.f64 c (*.f64 a (*.f64 a a))))))) (*.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))) (+ (* -1/24 (* (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 (fma.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 5 binary64))))) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/72 binary64) (fma.f64 b (/.f64 #s(literal -1/3 binary64) (*.f64 c a)) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 b (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c c) (*.f64 c (*.f64 a (*.f64 a a))))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/3 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 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c))))))
(*.f64 (*.f64 (neg.f64 c) #s(literal 1/3 binary64)) (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (/.f64 b (*.f64 c a))))
(* -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 (fma.f64 #s(literal -1/6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (/.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 3 binary64)))) (/.f64 (*.f64 b #s(literal -1/3 binary64)) a)) 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)))))))
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(*.f64 (*.f64 (neg.f64 c) #s(literal 1/3 binary64)) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 (/.f64 a c))) (/.f64 b c)))
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 b) (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))
(neg.f64 (*.f64 c (-.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 1/3 binary64))) (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (*.f64 b #s(literal -1/3 binary64))) c))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 b)) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))
(*.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 1/3 binary64))) (/.f64 (-.f64 (*.f64 b #s(literal -1/3 binary64)) (/.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 3 binary64))) #s(literal -1/72 binary64) (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))))) c)) c)) (neg.f64 c))
(* -3 (* a c))
(*.f64 #s(literal -3 binary64) (*.f64 c a))
(+ (* -3 (* a c)) (pow b 2))
(fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))
(+ (* -3 (* a c)) (pow b 2))
(fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))
(+ (* -3 (* a c)) (pow b 2))
(fma.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 b (*.f64 b (fma.f64 #s(literal -3 binary64) (*.f64 c (/.f64 a (*.f64 b b))) #s(literal 1 binary64))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(*.f64 b (*.f64 b (fma.f64 #s(literal -3 binary64) (*.f64 c (/.f64 a (*.f64 b b))) #s(literal 1 binary64))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(*.f64 b (*.f64 b (fma.f64 #s(literal -3 binary64) (*.f64 c (/.f64 a (*.f64 b b))) #s(literal 1 binary64))))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(*.f64 b (*.f64 b (fma.f64 #s(literal -3 binary64) (*.f64 c (/.f64 a (*.f64 b b))) #s(literal 1 binary64))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(*.f64 b (*.f64 b (fma.f64 #s(literal -3 binary64) (*.f64 c (/.f64 a (*.f64 b b))) #s(literal 1 binary64))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(*.f64 b (*.f64 b (fma.f64 #s(literal -3 binary64) (*.f64 c (/.f64 a (*.f64 b b))) #s(literal 1 binary64))))
(pow b 2)
(*.f64 b b)
(+ (* -3 (* a c)) (pow b 2))
(fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))
(+ (* -3 (* a c)) (pow b 2))
(fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))
(+ (* -3 (* a c)) (pow b 2))
(fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))
(* -3 (* a c))
(*.f64 #s(literal -3 binary64) (*.f64 c a))
(* a (+ (* -3 c) (/ (pow b 2) a)))
(*.f64 a (fma.f64 c #s(literal -3 binary64) (/.f64 (*.f64 b b) a)))
(* a (+ (* -3 c) (/ (pow b 2) a)))
(*.f64 a (fma.f64 c #s(literal -3 binary64) (/.f64 (*.f64 b b) a)))
(* a (+ (* -3 c) (/ (pow b 2) a)))
(*.f64 a (fma.f64 c #s(literal -3 binary64) (/.f64 (*.f64 b b) a)))
(* -3 (* a c))
(*.f64 #s(literal -3 binary64) (*.f64 c a))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))
(neg.f64 (*.f64 a (-.f64 (*.f64 c #s(literal 3 binary64)) (/.f64 (*.f64 b b) a))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))
(neg.f64 (*.f64 a (-.f64 (*.f64 c #s(literal 3 binary64)) (/.f64 (*.f64 b b) a))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))
(neg.f64 (*.f64 a (-.f64 (*.f64 c #s(literal 3 binary64)) (/.f64 (*.f64 b b) a))))
(pow b 2)
(*.f64 b b)
(+ (* -3 (* a c)) (pow b 2))
(fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))
(+ (* -3 (* a c)) (pow b 2))
(fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))
(+ (* -3 (* a c)) (pow b 2))
(fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))
(* -3 (* a c))
(*.f64 #s(literal -3 binary64) (*.f64 c a))
(* c (+ (* -3 a) (/ (pow b 2) c)))
(*.f64 c (fma.f64 b (/.f64 b c) (*.f64 a #s(literal -3 binary64))))
(* c (+ (* -3 a) (/ (pow b 2) c)))
(*.f64 c (fma.f64 b (/.f64 b c) (*.f64 a #s(literal -3 binary64))))
(* c (+ (* -3 a) (/ (pow b 2) c)))
(*.f64 c (fma.f64 b (/.f64 b c) (*.f64 a #s(literal -3 binary64))))
(* -3 (* a c))
(*.f64 #s(literal -3 binary64) (*.f64 c a))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a))))
(*.f64 (-.f64 (*.f64 a #s(literal 3 binary64)) (/.f64 (*.f64 b b) c)) (neg.f64 c))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a))))
(*.f64 (-.f64 (*.f64 a #s(literal 3 binary64)) (/.f64 (*.f64 b b) c)) (neg.f64 c))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a))))
(*.f64 (-.f64 (*.f64 a #s(literal 3 binary64)) (/.f64 (*.f64 b b) c)) (neg.f64 c))
(* 3 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))

eval238.0ms (2%)

Memory
17.0MiB live, 555.3MiB allocated
Compiler

Compiled 48 898 to 3 658 computations (92.5% saved)

prune351.0ms (3%)

Memory
4.2MiB live, 614.4MiB allocated
Pruning

52 alts after pruning (46 fresh and 6 done)

PrunedKeptTotal
New1 866261 892
Fresh62026
Picked325
Done145
Total1 876521 928
Accuracy
94.3%
Counts
1 928 → 52
Alt Table
Click to see full alt table
StatusAccuracyProgram
38.8%
(fma.f64 c (/.f64 #s(literal 1/2 binary64) b) (*.f64 b (/.f64 #s(literal -2/3 binary64) a)))
14.3%
(pow.f64 (*.f64 (/.f64 a (*.f64 b #s(literal -2/3 binary64))) (/.f64 a (*.f64 b #s(literal -2/3 binary64)))) #s(literal -1/2 binary64))
38.7%
(/.f64 (/.f64 b a) #s(literal -3/2 binary64))
51.5%
(/.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64)))
34.0%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a))
26.1%
(/.f64 (*.f64 (fma.f64 b b (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) #s(literal 1/3 binary64)) (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a))
32.7%
(/.f64 (*.f64 (/.f64 a (*.f64 a #s(literal 3 binary64))) (*.f64 c #s(literal -3/2 binary64))) b)
51.5%
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) b) #s(literal 1/3 binary64)) a)
34.0%
(/.f64 (*.f64 (-.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a))) b) #s(literal 1/3 binary64)) a)
24.0%
(/.f64 (*.f64 (*.f64 c (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)) #s(literal 1/3 binary64)) a)
24.0%
(/.f64 (*.f64 (*.f64 c #s(literal -3/2 binary64)) (/.f64 a b)) (*.f64 #s(literal 3 binary64) a))
32.4%
(/.f64 (*.f64 c (fma.f64 a (*.f64 (/.f64 c (*.f64 b b)) #s(literal -3/8 binary64)) #s(literal -1/2 binary64))) b)
7.8%
(/.f64 (*.f64 c #s(literal 1/2 binary64)) b)
32.9%
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b)
38.7%
(/.f64 (*.f64 b #s(literal -2/3 binary64)) a)
24.4%
(/.f64 (*.f64 #s(literal -3/2 binary64) (*.f64 a c)) (*.f64 (*.f64 #s(literal 3 binary64) b) a))
38.7%
(/.f64 b (*.f64 a #s(literal -3/2 binary64)))
7.8%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b #s(literal 2 binary64)) c))
38.6%
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b #s(literal -2/3 binary64))))
38.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -3/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) b)))
38.6%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 a #s(literal -3/2 binary64))))
38.7%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -3/2 binary64) b) a))
32.0%
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (/.f64 b (*.f64 c #s(literal -3/2 binary64)))))
15.6%
(*.f64 (fma.f64 c (/.f64 #s(literal -1/2 binary64) (*.f64 b b)) (exp.f64 (*.f64 (log.f64 (*.f64 a #s(literal 3/2 binary64))) #s(literal -1 binary64)))) (neg.f64 b))
24.0%
(*.f64 (/.f64 (/.f64 (*.f64 #s(literal -3/2 binary64) (*.f64 a c)) b) a) #s(literal 1/3 binary64))
51.5%
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) a) #s(literal 1/3 binary64))
32.7%
(*.f64 (/.f64 (*.f64 c #s(literal -3/2 binary64)) b) #s(literal 1/3 binary64))
24.0%
(*.f64 (/.f64 (*.f64 a c) b) (/.f64 #s(literal -3/2 binary64) (*.f64 a #s(literal 3 binary64))))
24.3%
(*.f64 (/.f64 (*.f64 a #s(literal -3/2 binary64)) b) (/.f64 c (*.f64 a #s(literal 3 binary64))))
24.0%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a b)) (*.f64 (*.f64 #s(literal -3/2 binary64) (*.f64 a c)) #s(literal 1/3 binary64)))
38.7%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3/2 binary64))) b)
20.3%
(*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 (log.f64 (*.f64 a #s(literal -3/2 binary64))) #s(literal -1 binary64))))) b)
38.7%
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b #s(literal -2/3 binary64)))
34.0%
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a))) b))
38.7%
(*.f64 (/.f64 #s(literal -2/3 binary64) a) b)
34.1%
(*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -3 binary64)))) b) #s(literal -3 binary64)))
38.6%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) b) #s(literal -2/3 binary64))
38.6%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -2/3 binary64)) b)
24.0%
(*.f64 (*.f64 a c) (/.f64 #s(literal -3/2 binary64) (*.f64 a (*.f64 #s(literal 3 binary64) b))))
24.0%
(*.f64 (*.f64 #s(literal -3/2 binary64) (*.f64 a c)) (/.f64 #s(literal 1/3 binary64) (*.f64 b a)))
20.3%
(*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 a #s(literal -3/2 binary64))) #s(literal -1 binary64))) b)
31.0%
(*.f64 c (fma.f64 (*.f64 b #s(literal -2/3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 a c)) (/.f64 #s(literal 1/2 binary64) b)))
31.0%
(*.f64 c (fma.f64 #s(literal -2/3 binary64) (/.f64 b (*.f64 a c)) (/.f64 #s(literal 1/2 binary64) b)))
21.8%
(*.f64 c (/.f64 (fma.f64 (/.f64 b (*.f64 a #s(literal -3/2 binary64))) b (*.f64 c #s(literal 1/2 binary64))) (*.f64 c b)))
7.8%
(*.f64 c (/.f64 #s(literal 1/2 binary64) b))
26.7%
(*.f64 c (*.f64 (*.f64 a #s(literal -3/2 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 b a))))
24.8%
(*.f64 a (*.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 a b))))
24.4%
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a c) (*.f64 a b)))
24.0%
(*.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 a c) (/.f64 #s(literal 1/3 binary64) (*.f64 b a))))
27.2%
(*.f64 #s(literal -3/2 binary64) (*.f64 c (/.f64 a (*.f64 a (*.f64 #s(literal 3 binary64) b)))))
16.0%
(exp.f64 (*.f64 (log.f64 (/.f64 a (*.f64 b #s(literal -2/3 binary64)))) #s(literal -1 binary64)))
14.5%
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 3 binary64) (/.f64 b (*.f64 c #s(literal -3/2 binary64))))) #s(literal -1 binary64)))
Compiler

Compiled 1 661 to 767 computations (53.8% saved)

regimes193.0ms (1.7%)

Memory
-6.8MiB live, 229.6MiB allocated
Counts
82 → 3
Calls
Call 1
Inputs
(*.f64 c (/.f64 #s(literal 1/2 binary64) b))
(*.f64 (/.f64 #s(literal -2/3 binary64) a) b)
(*.f64 (/.f64 b a) #s(literal -2/3 binary64))
(/.f64 b (*.f64 a #s(literal -3/2 binary64)))
(/.f64 (*.f64 b #s(literal -2/3 binary64)) a)
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b)
(/.f64 (*.f64 c #s(literal 1/2 binary64)) b)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -2/3 binary64)) b)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) b) #s(literal -2/3 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b #s(literal -2/3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3/2 binary64))) b)
(*.f64 (/.f64 (*.f64 c #s(literal -3/2 binary64)) b) #s(literal 1/3 binary64))
(/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 b a) #s(literal -3/2 binary64))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a c) (*.f64 a b)))
(*.f64 a (*.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 a b))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -3/2 binary64) b) a))
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b #s(literal -2/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b #s(literal 2 binary64)) c))
(/.f64 (*.f64 (/.f64 c b) #s(literal 3/2 binary64)) #s(literal -3 binary64))
(/.f64 (/.f64 (-.f64 b (neg.f64 b)) a) #s(literal -3 binary64))
(*.f64 #s(literal -3/2 binary64) (*.f64 c (/.f64 a (*.f64 a (*.f64 #s(literal 3 binary64) b)))))
(*.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 a c) (/.f64 #s(literal 1/3 binary64) (*.f64 b a))))
(*.f64 c (*.f64 (*.f64 a #s(literal -3/2 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 b a))))
(*.f64 (*.f64 #s(literal -3/2 binary64) (*.f64 a c)) (/.f64 #s(literal 1/3 binary64) (*.f64 b a)))
(*.f64 (*.f64 a c) (/.f64 #s(literal -3/2 binary64) (*.f64 a (*.f64 #s(literal 3 binary64) b))))
(/.f64 (*.f64 #s(literal -3/2 binary64) (*.f64 a c)) (*.f64 (*.f64 #s(literal 3 binary64) b) a))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (/.f64 b (*.f64 c #s(literal -3/2 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 a #s(literal -3/2 binary64))))
(fma.f64 c (/.f64 #s(literal 1/2 binary64) b) (*.f64 b (/.f64 #s(literal -2/3 binary64) a)))
(fma.f64 c (/.f64 #s(literal 1/2 binary64) b) (*.f64 (/.f64 b a) #s(literal -2/3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a b)) (*.f64 (*.f64 #s(literal -3/2 binary64) (*.f64 a c)) #s(literal 1/3 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a c) b)))
(*.f64 (/.f64 (*.f64 a #s(literal -3/2 binary64)) b) (/.f64 c (*.f64 a #s(literal 3 binary64))))
(*.f64 (/.f64 (*.f64 a c) b) (/.f64 #s(literal -3/2 binary64) (*.f64 a #s(literal 3 binary64))))
(*.f64 (/.f64 (/.f64 (*.f64 #s(literal -3/2 binary64) (*.f64 a c)) b) a) #s(literal 1/3 binary64))
(/.f64 (*.f64 (*.f64 c #s(literal -3/2 binary64)) (/.f64 a b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (*.f64 (*.f64 c (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)) #s(literal 1/3 binary64)) a)
(/.f64 (*.f64 (/.f64 a (*.f64 a #s(literal 3 binary64))) (*.f64 c #s(literal -3/2 binary64))) b)
(/.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b) (*.f64 #s(literal 3 binary64) a))
(*.f64 c (fma.f64 #s(literal -2/3 binary64) (/.f64 b (*.f64 a c)) (/.f64 #s(literal 1/2 binary64) b)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -3/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) b)))
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a))) b))
(/.f64 (*.f64 (-.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a))) b) #s(literal 1/3 binary64)) a)
(*.f64 (fma.f64 c (/.f64 #s(literal -1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a))
(*.f64 c (fma.f64 (*.f64 b #s(literal -2/3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 a c)) (/.f64 #s(literal 1/2 binary64) b)))
(/.f64 (*.f64 c (fma.f64 a (*.f64 (/.f64 c (*.f64 b b)) #s(literal -3/8 binary64)) #s(literal -1/2 binary64))) b)
(*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b))
(*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal 1/3 binary64))
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) b) a) #s(literal 1/3 binary64))
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) a) #s(literal 1/3 binary64))
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a)
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) b) #s(literal 1/3 binary64)) a)
(/.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64)))
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) b) #s(literal -1/3 binary64)) (neg.f64 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))
(*.f64 c (/.f64 (fma.f64 (/.f64 b (*.f64 a #s(literal -3/2 binary64))) b (*.f64 c #s(literal 1/2 binary64))) (*.f64 c b)))
(/.f64 (fma.f64 a (*.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c c) (*.f64 b b))) (*.f64 c #s(literal -1/2 binary64))) b)
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
(*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -3 binary64)))) b) #s(literal -3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)))
(/.f64 (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal 3/2 binary64) (/.f64 #s(literal -2 binary64) a))) #s(literal -3 binary64))
(/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal -3 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) #s(literal 3 binary64))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))))) #s(literal -3 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 3 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))))) #s(literal -3 binary64))
(/.f64 (*.f64 (fma.f64 b b (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) #s(literal 1/3 binary64)) (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a))
(pow.f64 (*.f64 (/.f64 a (*.f64 b #s(literal -2/3 binary64))) (/.f64 a (*.f64 b #s(literal -2/3 binary64)))) #s(literal -1/2 binary64))
(*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 a #s(literal -3/2 binary64))) #s(literal -1 binary64))) b)
(exp.f64 (*.f64 (log.f64 (/.f64 a (*.f64 b #s(literal -2/3 binary64)))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 3 binary64) (/.f64 b (*.f64 c #s(literal -3/2 binary64))))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 (log.f64 (*.f64 a #s(literal -3/2 binary64))) #s(literal -1 binary64))))) b)
(*.f64 (fma.f64 c (/.f64 #s(literal -1/2 binary64) (*.f64 b b)) (exp.f64 (*.f64 (log.f64 (*.f64 a #s(literal 3/2 binary64))) #s(literal -1 binary64)))) (neg.f64 b))
Outputs
(*.f64 (/.f64 #s(literal -2/3 binary64) a) b)
(*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal -3 binary64)))
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b)
Calls

5 calls:

57.0ms
a
51.0ms
c
32.0ms
(/.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))
25.0ms
b
23.0ms
(*.f64 #s(literal 3 binary64) a)
Results
AccuracySegmentsBranch
57.0%4a
88.8%3b
51.6%1c
77.6%5(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
57.0%4(*.f64 #s(literal 3 binary64) a)
Compiler

Compiled 38 to 26 computations (31.6% saved)

regimes35.0ms (0.3%)

Memory
-1.6MiB live, 41.3MiB allocated
Counts
70 → 3
Calls
Call 1
Inputs
(*.f64 c (/.f64 #s(literal 1/2 binary64) b))
(*.f64 (/.f64 #s(literal -2/3 binary64) a) b)
(*.f64 (/.f64 b a) #s(literal -2/3 binary64))
(/.f64 b (*.f64 a #s(literal -3/2 binary64)))
(/.f64 (*.f64 b #s(literal -2/3 binary64)) a)
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b)
(/.f64 (*.f64 c #s(literal 1/2 binary64)) b)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -2/3 binary64)) b)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) b) #s(literal -2/3 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b #s(literal -2/3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3/2 binary64))) b)
(*.f64 (/.f64 (*.f64 c #s(literal -3/2 binary64)) b) #s(literal 1/3 binary64))
(/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 b a) #s(literal -3/2 binary64))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a c) (*.f64 a b)))
(*.f64 a (*.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 a b))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -3/2 binary64) b) a))
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b #s(literal -2/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b #s(literal 2 binary64)) c))
(/.f64 (*.f64 (/.f64 c b) #s(literal 3/2 binary64)) #s(literal -3 binary64))
(/.f64 (/.f64 (-.f64 b (neg.f64 b)) a) #s(literal -3 binary64))
(*.f64 #s(literal -3/2 binary64) (*.f64 c (/.f64 a (*.f64 a (*.f64 #s(literal 3 binary64) b)))))
(*.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 a c) (/.f64 #s(literal 1/3 binary64) (*.f64 b a))))
(*.f64 c (*.f64 (*.f64 a #s(literal -3/2 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 b a))))
(*.f64 (*.f64 #s(literal -3/2 binary64) (*.f64 a c)) (/.f64 #s(literal 1/3 binary64) (*.f64 b a)))
(*.f64 (*.f64 a c) (/.f64 #s(literal -3/2 binary64) (*.f64 a (*.f64 #s(literal 3 binary64) b))))
(/.f64 (*.f64 #s(literal -3/2 binary64) (*.f64 a c)) (*.f64 (*.f64 #s(literal 3 binary64) b) a))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (/.f64 b (*.f64 c #s(literal -3/2 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 a #s(literal -3/2 binary64))))
(fma.f64 c (/.f64 #s(literal 1/2 binary64) b) (*.f64 b (/.f64 #s(literal -2/3 binary64) a)))
(fma.f64 c (/.f64 #s(literal 1/2 binary64) b) (*.f64 (/.f64 b a) #s(literal -2/3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a b)) (*.f64 (*.f64 #s(literal -3/2 binary64) (*.f64 a c)) #s(literal 1/3 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a c) b)))
(*.f64 (/.f64 (*.f64 a #s(literal -3/2 binary64)) b) (/.f64 c (*.f64 a #s(literal 3 binary64))))
(*.f64 (/.f64 (*.f64 a c) b) (/.f64 #s(literal -3/2 binary64) (*.f64 a #s(literal 3 binary64))))
(*.f64 (/.f64 (/.f64 (*.f64 #s(literal -3/2 binary64) (*.f64 a c)) b) a) #s(literal 1/3 binary64))
(/.f64 (*.f64 (*.f64 c #s(literal -3/2 binary64)) (/.f64 a b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (*.f64 (*.f64 c (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)) #s(literal 1/3 binary64)) a)
(/.f64 (*.f64 (/.f64 a (*.f64 a #s(literal 3 binary64))) (*.f64 c #s(literal -3/2 binary64))) b)
(/.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b) (*.f64 #s(literal 3 binary64) a))
(*.f64 c (fma.f64 #s(literal -2/3 binary64) (/.f64 b (*.f64 a c)) (/.f64 #s(literal 1/2 binary64) b)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -3/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) b)))
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a))) b))
(/.f64 (*.f64 (-.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a))) b) #s(literal 1/3 binary64)) a)
(*.f64 (fma.f64 c (/.f64 #s(literal -1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a))
(*.f64 c (fma.f64 (*.f64 b #s(literal -2/3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 a c)) (/.f64 #s(literal 1/2 binary64) b)))
(/.f64 (*.f64 c (fma.f64 a (*.f64 (/.f64 c (*.f64 b b)) #s(literal -3/8 binary64)) #s(literal -1/2 binary64))) b)
(*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b))
(*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal 1/3 binary64))
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) b) a) #s(literal 1/3 binary64))
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) a) #s(literal 1/3 binary64))
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a)
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) b) #s(literal 1/3 binary64)) a)
(/.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64)))
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) b) #s(literal -1/3 binary64)) (neg.f64 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))
(*.f64 c (/.f64 (fma.f64 (/.f64 b (*.f64 a #s(literal -3/2 binary64))) b (*.f64 c #s(literal 1/2 binary64))) (*.f64 c b)))
(/.f64 (fma.f64 a (*.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c c) (*.f64 b b))) (*.f64 c #s(literal -1/2 binary64))) b)
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
(*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -3 binary64)))) b) #s(literal -3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)))
(/.f64 (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal 3/2 binary64) (/.f64 #s(literal -2 binary64) a))) #s(literal -3 binary64))
(/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64))
Outputs
(*.f64 (/.f64 #s(literal -2/3 binary64) a) b)
(/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64))
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b)
Calls

1 calls:

31.0ms
b
Results
AccuracySegmentsBranch
88.8%3b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes61.0ms (0.5%)

Memory
-2.2MiB live, 36.9MiB allocated
Counts
69 → 3
Calls
Call 1
Inputs
(*.f64 c (/.f64 #s(literal 1/2 binary64) b))
(*.f64 (/.f64 #s(literal -2/3 binary64) a) b)
(*.f64 (/.f64 b a) #s(literal -2/3 binary64))
(/.f64 b (*.f64 a #s(literal -3/2 binary64)))
(/.f64 (*.f64 b #s(literal -2/3 binary64)) a)
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b)
(/.f64 (*.f64 c #s(literal 1/2 binary64)) b)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -2/3 binary64)) b)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) b) #s(literal -2/3 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b #s(literal -2/3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3/2 binary64))) b)
(*.f64 (/.f64 (*.f64 c #s(literal -3/2 binary64)) b) #s(literal 1/3 binary64))
(/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 b a) #s(literal -3/2 binary64))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a c) (*.f64 a b)))
(*.f64 a (*.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 a b))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -3/2 binary64) b) a))
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b #s(literal -2/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b #s(literal 2 binary64)) c))
(/.f64 (*.f64 (/.f64 c b) #s(literal 3/2 binary64)) #s(literal -3 binary64))
(/.f64 (/.f64 (-.f64 b (neg.f64 b)) a) #s(literal -3 binary64))
(*.f64 #s(literal -3/2 binary64) (*.f64 c (/.f64 a (*.f64 a (*.f64 #s(literal 3 binary64) b)))))
(*.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 a c) (/.f64 #s(literal 1/3 binary64) (*.f64 b a))))
(*.f64 c (*.f64 (*.f64 a #s(literal -3/2 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 b a))))
(*.f64 (*.f64 #s(literal -3/2 binary64) (*.f64 a c)) (/.f64 #s(literal 1/3 binary64) (*.f64 b a)))
(*.f64 (*.f64 a c) (/.f64 #s(literal -3/2 binary64) (*.f64 a (*.f64 #s(literal 3 binary64) b))))
(/.f64 (*.f64 #s(literal -3/2 binary64) (*.f64 a c)) (*.f64 (*.f64 #s(literal 3 binary64) b) a))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (/.f64 b (*.f64 c #s(literal -3/2 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 a #s(literal -3/2 binary64))))
(fma.f64 c (/.f64 #s(literal 1/2 binary64) b) (*.f64 b (/.f64 #s(literal -2/3 binary64) a)))
(fma.f64 c (/.f64 #s(literal 1/2 binary64) b) (*.f64 (/.f64 b a) #s(literal -2/3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a b)) (*.f64 (*.f64 #s(literal -3/2 binary64) (*.f64 a c)) #s(literal 1/3 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a c) b)))
(*.f64 (/.f64 (*.f64 a #s(literal -3/2 binary64)) b) (/.f64 c (*.f64 a #s(literal 3 binary64))))
(*.f64 (/.f64 (*.f64 a c) b) (/.f64 #s(literal -3/2 binary64) (*.f64 a #s(literal 3 binary64))))
(*.f64 (/.f64 (/.f64 (*.f64 #s(literal -3/2 binary64) (*.f64 a c)) b) a) #s(literal 1/3 binary64))
(/.f64 (*.f64 (*.f64 c #s(literal -3/2 binary64)) (/.f64 a b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (*.f64 (*.f64 c (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)) #s(literal 1/3 binary64)) a)
(/.f64 (*.f64 (/.f64 a (*.f64 a #s(literal 3 binary64))) (*.f64 c #s(literal -3/2 binary64))) b)
(/.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b) (*.f64 #s(literal 3 binary64) a))
(*.f64 c (fma.f64 #s(literal -2/3 binary64) (/.f64 b (*.f64 a c)) (/.f64 #s(literal 1/2 binary64) b)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -3/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) b)))
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a))) b))
(/.f64 (*.f64 (-.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a))) b) #s(literal 1/3 binary64)) a)
(*.f64 (fma.f64 c (/.f64 #s(literal -1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a))
(*.f64 c (fma.f64 (*.f64 b #s(literal -2/3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 a c)) (/.f64 #s(literal 1/2 binary64) b)))
(/.f64 (*.f64 c (fma.f64 a (*.f64 (/.f64 c (*.f64 b b)) #s(literal -3/8 binary64)) #s(literal -1/2 binary64))) b)
(*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b))
(*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal 1/3 binary64))
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) b) a) #s(literal 1/3 binary64))
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) a) #s(literal 1/3 binary64))
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a)
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) b) #s(literal 1/3 binary64)) a)
(/.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64)))
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) b) #s(literal -1/3 binary64)) (neg.f64 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))
(*.f64 c (/.f64 (fma.f64 (/.f64 b (*.f64 a #s(literal -3/2 binary64))) b (*.f64 c #s(literal 1/2 binary64))) (*.f64 c b)))
(/.f64 (fma.f64 a (*.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c c) (*.f64 b b))) (*.f64 c #s(literal -1/2 binary64))) b)
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
(*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -3 binary64)))) b) #s(literal -3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)))
(/.f64 (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal 3/2 binary64) (/.f64 #s(literal -2 binary64) a))) #s(literal -3 binary64))
Outputs
(*.f64 (/.f64 #s(literal -2/3 binary64) a) b)
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b)
Calls

1 calls:

58.0ms
b
Results
AccuracySegmentsBranch
88.8%3b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes20.0ms (0.2%)

Memory
-4.7MiB live, 34.9MiB allocated
Counts
59 → 3
Calls
Call 1
Inputs
(*.f64 c (/.f64 #s(literal 1/2 binary64) b))
(*.f64 (/.f64 #s(literal -2/3 binary64) a) b)
(*.f64 (/.f64 b a) #s(literal -2/3 binary64))
(/.f64 b (*.f64 a #s(literal -3/2 binary64)))
(/.f64 (*.f64 b #s(literal -2/3 binary64)) a)
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b)
(/.f64 (*.f64 c #s(literal 1/2 binary64)) b)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -2/3 binary64)) b)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) b) #s(literal -2/3 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b #s(literal -2/3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3/2 binary64))) b)
(*.f64 (/.f64 (*.f64 c #s(literal -3/2 binary64)) b) #s(literal 1/3 binary64))
(/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 b a) #s(literal -3/2 binary64))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a c) (*.f64 a b)))
(*.f64 a (*.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 a b))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -3/2 binary64) b) a))
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b #s(literal -2/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b #s(literal 2 binary64)) c))
(/.f64 (*.f64 (/.f64 c b) #s(literal 3/2 binary64)) #s(literal -3 binary64))
(/.f64 (/.f64 (-.f64 b (neg.f64 b)) a) #s(literal -3 binary64))
(*.f64 #s(literal -3/2 binary64) (*.f64 c (/.f64 a (*.f64 a (*.f64 #s(literal 3 binary64) b)))))
(*.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 a c) (/.f64 #s(literal 1/3 binary64) (*.f64 b a))))
(*.f64 c (*.f64 (*.f64 a #s(literal -3/2 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 b a))))
(*.f64 (*.f64 #s(literal -3/2 binary64) (*.f64 a c)) (/.f64 #s(literal 1/3 binary64) (*.f64 b a)))
(*.f64 (*.f64 a c) (/.f64 #s(literal -3/2 binary64) (*.f64 a (*.f64 #s(literal 3 binary64) b))))
(/.f64 (*.f64 #s(literal -3/2 binary64) (*.f64 a c)) (*.f64 (*.f64 #s(literal 3 binary64) b) a))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (/.f64 b (*.f64 c #s(literal -3/2 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 a #s(literal -3/2 binary64))))
(fma.f64 c (/.f64 #s(literal 1/2 binary64) b) (*.f64 b (/.f64 #s(literal -2/3 binary64) a)))
(fma.f64 c (/.f64 #s(literal 1/2 binary64) b) (*.f64 (/.f64 b a) #s(literal -2/3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a b)) (*.f64 (*.f64 #s(literal -3/2 binary64) (*.f64 a c)) #s(literal 1/3 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a c) b)))
(*.f64 (/.f64 (*.f64 a #s(literal -3/2 binary64)) b) (/.f64 c (*.f64 a #s(literal 3 binary64))))
(*.f64 (/.f64 (*.f64 a c) b) (/.f64 #s(literal -3/2 binary64) (*.f64 a #s(literal 3 binary64))))
(*.f64 (/.f64 (/.f64 (*.f64 #s(literal -3/2 binary64) (*.f64 a c)) b) a) #s(literal 1/3 binary64))
(/.f64 (*.f64 (*.f64 c #s(literal -3/2 binary64)) (/.f64 a b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (*.f64 (*.f64 c (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)) #s(literal 1/3 binary64)) a)
(/.f64 (*.f64 (/.f64 a (*.f64 a #s(literal 3 binary64))) (*.f64 c #s(literal -3/2 binary64))) b)
(/.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b) (*.f64 #s(literal 3 binary64) a))
(*.f64 c (fma.f64 #s(literal -2/3 binary64) (/.f64 b (*.f64 a c)) (/.f64 #s(literal 1/2 binary64) b)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -3/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) b)))
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a))) b))
(/.f64 (*.f64 (-.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a))) b) #s(literal 1/3 binary64)) a)
(*.f64 (fma.f64 c (/.f64 #s(literal -1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a))
(*.f64 c (fma.f64 (*.f64 b #s(literal -2/3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 a c)) (/.f64 #s(literal 1/2 binary64) b)))
(/.f64 (*.f64 c (fma.f64 a (*.f64 (/.f64 c (*.f64 b b)) #s(literal -3/8 binary64)) #s(literal -1/2 binary64))) b)
(*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b))
(*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal 1/3 binary64))
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) b) a) #s(literal 1/3 binary64))
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) a) #s(literal 1/3 binary64))
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a)
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) b) #s(literal 1/3 binary64)) a)
(/.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64)))
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) b) #s(literal -1/3 binary64)) (neg.f64 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))) (*.f64 #s(literal 3 binary64) a))
Outputs
(/.f64 b (*.f64 a #s(literal -3/2 binary64)))
(*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b)
Calls

1 calls:

16.0ms
b
Results
AccuracySegmentsBranch
88.7%3b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes38.0ms (0.3%)

Memory
-1.4MiB live, 38.1MiB allocated
Counts
49 → 3
Calls
Call 1
Inputs
(*.f64 c (/.f64 #s(literal 1/2 binary64) b))
(*.f64 (/.f64 #s(literal -2/3 binary64) a) b)
(*.f64 (/.f64 b a) #s(literal -2/3 binary64))
(/.f64 b (*.f64 a #s(literal -3/2 binary64)))
(/.f64 (*.f64 b #s(literal -2/3 binary64)) a)
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b)
(/.f64 (*.f64 c #s(literal 1/2 binary64)) b)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -2/3 binary64)) b)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) b) #s(literal -2/3 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b #s(literal -2/3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3/2 binary64))) b)
(*.f64 (/.f64 (*.f64 c #s(literal -3/2 binary64)) b) #s(literal 1/3 binary64))
(/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 b a) #s(literal -3/2 binary64))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a c) (*.f64 a b)))
(*.f64 a (*.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 a b))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -3/2 binary64) b) a))
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b #s(literal -2/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b #s(literal 2 binary64)) c))
(/.f64 (*.f64 (/.f64 c b) #s(literal 3/2 binary64)) #s(literal -3 binary64))
(/.f64 (/.f64 (-.f64 b (neg.f64 b)) a) #s(literal -3 binary64))
(*.f64 #s(literal -3/2 binary64) (*.f64 c (/.f64 a (*.f64 a (*.f64 #s(literal 3 binary64) b)))))
(*.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 a c) (/.f64 #s(literal 1/3 binary64) (*.f64 b a))))
(*.f64 c (*.f64 (*.f64 a #s(literal -3/2 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 b a))))
(*.f64 (*.f64 #s(literal -3/2 binary64) (*.f64 a c)) (/.f64 #s(literal 1/3 binary64) (*.f64 b a)))
(*.f64 (*.f64 a c) (/.f64 #s(literal -3/2 binary64) (*.f64 a (*.f64 #s(literal 3 binary64) b))))
(/.f64 (*.f64 #s(literal -3/2 binary64) (*.f64 a c)) (*.f64 (*.f64 #s(literal 3 binary64) b) a))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (/.f64 b (*.f64 c #s(literal -3/2 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 a #s(literal -3/2 binary64))))
(fma.f64 c (/.f64 #s(literal 1/2 binary64) b) (*.f64 b (/.f64 #s(literal -2/3 binary64) a)))
(fma.f64 c (/.f64 #s(literal 1/2 binary64) b) (*.f64 (/.f64 b a) #s(literal -2/3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a b)) (*.f64 (*.f64 #s(literal -3/2 binary64) (*.f64 a c)) #s(literal 1/3 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a c) b)))
(*.f64 (/.f64 (*.f64 a #s(literal -3/2 binary64)) b) (/.f64 c (*.f64 a #s(literal 3 binary64))))
(*.f64 (/.f64 (*.f64 a c) b) (/.f64 #s(literal -3/2 binary64) (*.f64 a #s(literal 3 binary64))))
(*.f64 (/.f64 (/.f64 (*.f64 #s(literal -3/2 binary64) (*.f64 a c)) b) a) #s(literal 1/3 binary64))
(/.f64 (*.f64 (*.f64 c #s(literal -3/2 binary64)) (/.f64 a b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (*.f64 (*.f64 c (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)) #s(literal 1/3 binary64)) a)
(/.f64 (*.f64 (/.f64 a (*.f64 a #s(literal 3 binary64))) (*.f64 c #s(literal -3/2 binary64))) b)
(/.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b) (*.f64 #s(literal 3 binary64) a))
(*.f64 c (fma.f64 #s(literal -2/3 binary64) (/.f64 b (*.f64 a c)) (/.f64 #s(literal 1/2 binary64) b)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -3/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) b)))
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a))) b))
(/.f64 (*.f64 (-.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a))) b) #s(literal 1/3 binary64)) a)
(*.f64 (fma.f64 c (/.f64 #s(literal -1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a))
(*.f64 c (fma.f64 (*.f64 b #s(literal -2/3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 a c)) (/.f64 #s(literal 1/2 binary64) b)))
(/.f64 (*.f64 c (fma.f64 a (*.f64 (/.f64 c (*.f64 b b)) #s(literal -3/8 binary64)) #s(literal -1/2 binary64))) b)
Outputs
(*.f64 (fma.f64 c (/.f64 #s(literal -1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b))
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a))) b))
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b)
Calls

1 calls:

13.0ms
b
Results
AccuracySegmentsBranch
85.3%3b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes58.0ms (0.5%)

Memory
2.5MiB live, 47.7MiB allocated
Counts
45 → 3
Calls
Call 1
Inputs
(*.f64 c (/.f64 #s(literal 1/2 binary64) b))
(*.f64 (/.f64 #s(literal -2/3 binary64) a) b)
(*.f64 (/.f64 b a) #s(literal -2/3 binary64))
(/.f64 b (*.f64 a #s(literal -3/2 binary64)))
(/.f64 (*.f64 b #s(literal -2/3 binary64)) a)
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b)
(/.f64 (*.f64 c #s(literal 1/2 binary64)) b)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -2/3 binary64)) b)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) b) #s(literal -2/3 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b #s(literal -2/3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3/2 binary64))) b)
(*.f64 (/.f64 (*.f64 c #s(literal -3/2 binary64)) b) #s(literal 1/3 binary64))
(/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 b a) #s(literal -3/2 binary64))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a c) (*.f64 a b)))
(*.f64 a (*.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 a b))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -3/2 binary64) b) a))
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b #s(literal -2/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b #s(literal 2 binary64)) c))
(/.f64 (*.f64 (/.f64 c b) #s(literal 3/2 binary64)) #s(literal -3 binary64))
(/.f64 (/.f64 (-.f64 b (neg.f64 b)) a) #s(literal -3 binary64))
(*.f64 #s(literal -3/2 binary64) (*.f64 c (/.f64 a (*.f64 a (*.f64 #s(literal 3 binary64) b)))))
(*.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 a c) (/.f64 #s(literal 1/3 binary64) (*.f64 b a))))
(*.f64 c (*.f64 (*.f64 a #s(literal -3/2 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 b a))))
(*.f64 (*.f64 #s(literal -3/2 binary64) (*.f64 a c)) (/.f64 #s(literal 1/3 binary64) (*.f64 b a)))
(*.f64 (*.f64 a c) (/.f64 #s(literal -3/2 binary64) (*.f64 a (*.f64 #s(literal 3 binary64) b))))
(/.f64 (*.f64 #s(literal -3/2 binary64) (*.f64 a c)) (*.f64 (*.f64 #s(literal 3 binary64) b) a))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (/.f64 b (*.f64 c #s(literal -3/2 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 a #s(literal -3/2 binary64))))
(fma.f64 c (/.f64 #s(literal 1/2 binary64) b) (*.f64 b (/.f64 #s(literal -2/3 binary64) a)))
(fma.f64 c (/.f64 #s(literal 1/2 binary64) b) (*.f64 (/.f64 b a) #s(literal -2/3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a b)) (*.f64 (*.f64 #s(literal -3/2 binary64) (*.f64 a c)) #s(literal 1/3 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a c) b)))
(*.f64 (/.f64 (*.f64 a #s(literal -3/2 binary64)) b) (/.f64 c (*.f64 a #s(literal 3 binary64))))
(*.f64 (/.f64 (*.f64 a c) b) (/.f64 #s(literal -3/2 binary64) (*.f64 a #s(literal 3 binary64))))
(*.f64 (/.f64 (/.f64 (*.f64 #s(literal -3/2 binary64) (*.f64 a c)) b) a) #s(literal 1/3 binary64))
(/.f64 (*.f64 (*.f64 c #s(literal -3/2 binary64)) (/.f64 a b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (*.f64 (*.f64 c (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)) #s(literal 1/3 binary64)) a)
(/.f64 (*.f64 (/.f64 a (*.f64 a #s(literal 3 binary64))) (*.f64 c #s(literal -3/2 binary64))) b)
(/.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b) (*.f64 #s(literal 3 binary64) a))
(*.f64 c (fma.f64 #s(literal -2/3 binary64) (/.f64 b (*.f64 a c)) (/.f64 #s(literal 1/2 binary64) b)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -3/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) b)))
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a))) b))
(/.f64 (*.f64 (-.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a))) b) #s(literal 1/3 binary64)) a)
Outputs
(fma.f64 c (/.f64 #s(literal 1/2 binary64) b) (*.f64 b (/.f64 #s(literal -2/3 binary64) a)))
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a))) b))
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b)
Calls

1 calls:

56.0ms
b
Results
AccuracySegmentsBranch
85.3%3b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes36.0ms (0.3%)

Memory
0.8MiB live, 38.0MiB allocated
Counts
43 → 2
Calls
Call 1
Inputs
(*.f64 c (/.f64 #s(literal 1/2 binary64) b))
(*.f64 (/.f64 #s(literal -2/3 binary64) a) b)
(*.f64 (/.f64 b a) #s(literal -2/3 binary64))
(/.f64 b (*.f64 a #s(literal -3/2 binary64)))
(/.f64 (*.f64 b #s(literal -2/3 binary64)) a)
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b)
(/.f64 (*.f64 c #s(literal 1/2 binary64)) b)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -2/3 binary64)) b)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) b) #s(literal -2/3 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b #s(literal -2/3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3/2 binary64))) b)
(*.f64 (/.f64 (*.f64 c #s(literal -3/2 binary64)) b) #s(literal 1/3 binary64))
(/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 b a) #s(literal -3/2 binary64))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a c) (*.f64 a b)))
(*.f64 a (*.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 a b))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -3/2 binary64) b) a))
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b #s(literal -2/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b #s(literal 2 binary64)) c))
(/.f64 (*.f64 (/.f64 c b) #s(literal 3/2 binary64)) #s(literal -3 binary64))
(/.f64 (/.f64 (-.f64 b (neg.f64 b)) a) #s(literal -3 binary64))
(*.f64 #s(literal -3/2 binary64) (*.f64 c (/.f64 a (*.f64 a (*.f64 #s(literal 3 binary64) b)))))
(*.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 a c) (/.f64 #s(literal 1/3 binary64) (*.f64 b a))))
(*.f64 c (*.f64 (*.f64 a #s(literal -3/2 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 b a))))
(*.f64 (*.f64 #s(literal -3/2 binary64) (*.f64 a c)) (/.f64 #s(literal 1/3 binary64) (*.f64 b a)))
(*.f64 (*.f64 a c) (/.f64 #s(literal -3/2 binary64) (*.f64 a (*.f64 #s(literal 3 binary64) b))))
(/.f64 (*.f64 #s(literal -3/2 binary64) (*.f64 a c)) (*.f64 (*.f64 #s(literal 3 binary64) b) a))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (/.f64 b (*.f64 c #s(literal -3/2 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 a #s(literal -3/2 binary64))))
(fma.f64 c (/.f64 #s(literal 1/2 binary64) b) (*.f64 b (/.f64 #s(literal -2/3 binary64) a)))
(fma.f64 c (/.f64 #s(literal 1/2 binary64) b) (*.f64 (/.f64 b a) #s(literal -2/3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a b)) (*.f64 (*.f64 #s(literal -3/2 binary64) (*.f64 a c)) #s(literal 1/3 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a c) b)))
(*.f64 (/.f64 (*.f64 a #s(literal -3/2 binary64)) b) (/.f64 c (*.f64 a #s(literal 3 binary64))))
(*.f64 (/.f64 (*.f64 a c) b) (/.f64 #s(literal -3/2 binary64) (*.f64 a #s(literal 3 binary64))))
(*.f64 (/.f64 (/.f64 (*.f64 #s(literal -3/2 binary64) (*.f64 a c)) b) a) #s(literal 1/3 binary64))
(/.f64 (*.f64 (*.f64 c #s(literal -3/2 binary64)) (/.f64 a b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (*.f64 (*.f64 c (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)) #s(literal 1/3 binary64)) a)
(/.f64 (*.f64 (/.f64 a (*.f64 a #s(literal 3 binary64))) (*.f64 c #s(literal -3/2 binary64))) b)
(/.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b) (*.f64 #s(literal 3 binary64) a))
(*.f64 c (fma.f64 #s(literal -2/3 binary64) (/.f64 b (*.f64 a c)) (/.f64 #s(literal 1/2 binary64) b)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -3/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) b)))
Outputs
(fma.f64 c (/.f64 #s(literal 1/2 binary64) b) (*.f64 b (/.f64 #s(literal -2/3 binary64) a)))
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b)
Calls

2 calls:

22.0ms
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
12.0ms
b
Results
AccuracySegmentsBranch
52.8%3(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
69.2%2b
Compiler

Compiled 24 to 15 computations (37.5% saved)

regimes10.0ms (0.1%)

Memory
12.0MiB live, 12.0MiB allocated
Counts
29 → 2
Calls
Call 1
Inputs
(*.f64 c (/.f64 #s(literal 1/2 binary64) b))
(*.f64 (/.f64 #s(literal -2/3 binary64) a) b)
(*.f64 (/.f64 b a) #s(literal -2/3 binary64))
(/.f64 b (*.f64 a #s(literal -3/2 binary64)))
(/.f64 (*.f64 b #s(literal -2/3 binary64)) a)
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b)
(/.f64 (*.f64 c #s(literal 1/2 binary64)) b)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -2/3 binary64)) b)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) b) #s(literal -2/3 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b #s(literal -2/3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3/2 binary64))) b)
(*.f64 (/.f64 (*.f64 c #s(literal -3/2 binary64)) b) #s(literal 1/3 binary64))
(/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 b a) #s(literal -3/2 binary64))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a c) (*.f64 a b)))
(*.f64 a (*.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 a b))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -3/2 binary64) b) a))
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b #s(literal -2/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b #s(literal 2 binary64)) c))
(/.f64 (*.f64 (/.f64 c b) #s(literal 3/2 binary64)) #s(literal -3 binary64))
(/.f64 (/.f64 (-.f64 b (neg.f64 b)) a) #s(literal -3 binary64))
(*.f64 #s(literal -3/2 binary64) (*.f64 c (/.f64 a (*.f64 a (*.f64 #s(literal 3 binary64) b)))))
(*.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 a c) (/.f64 #s(literal 1/3 binary64) (*.f64 b a))))
(*.f64 c (*.f64 (*.f64 a #s(literal -3/2 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 b a))))
(*.f64 (*.f64 #s(literal -3/2 binary64) (*.f64 a c)) (/.f64 #s(literal 1/3 binary64) (*.f64 b a)))
(*.f64 (*.f64 a c) (/.f64 #s(literal -3/2 binary64) (*.f64 a (*.f64 #s(literal 3 binary64) b))))
(/.f64 (*.f64 #s(literal -3/2 binary64) (*.f64 a c)) (*.f64 (*.f64 #s(literal 3 binary64) b) a))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (/.f64 b (*.f64 c #s(literal -3/2 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 a #s(literal -3/2 binary64))))
Outputs
(/.f64 b (*.f64 a #s(literal -3/2 binary64)))
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b)
Calls

1 calls:

8.0ms
b
Results
AccuracySegmentsBranch
69.1%2b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes12.0ms (0.1%)

Memory
16.6MiB live, 16.6MiB allocated
Counts
5 → 2
Calls
Call 1
Inputs
(*.f64 c (/.f64 #s(literal 1/2 binary64) b))
(*.f64 (/.f64 #s(literal -2/3 binary64) a) b)
(*.f64 (/.f64 b a) #s(literal -2/3 binary64))
(/.f64 b (*.f64 a #s(literal -3/2 binary64)))
(/.f64 (*.f64 b #s(literal -2/3 binary64)) a)
Outputs
(/.f64 b (*.f64 a #s(literal -3/2 binary64)))
(*.f64 c (/.f64 #s(literal 1/2 binary64) b))
Calls

5 calls:

2.0ms
(*.f64 #s(literal 3 binary64) a)
2.0ms
c
2.0ms
b
2.0ms
a
2.0ms
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
Results
AccuracySegmentsBranch
38.7%1(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
38.7%1c
38.7%1a
38.7%1(*.f64 #s(literal 3 binary64) a)
43.6%2b
Compiler

Compiled 38 to 26 computations (31.6% saved)

regimes2.0ms (0%)

Memory
3.8MiB live, 3.8MiB allocated
Counts
3 → 2
Calls
Call 1
Inputs
(*.f64 c (/.f64 #s(literal 1/2 binary64) b))
(*.f64 (/.f64 #s(literal -2/3 binary64) a) b)
(*.f64 (/.f64 b a) #s(literal -2/3 binary64))
Outputs
(*.f64 (/.f64 #s(literal -2/3 binary64) a) b)
(*.f64 c (/.f64 #s(literal 1/2 binary64) b))
Calls

1 calls:

2.0ms
b
Results
AccuracySegmentsBranch
43.5%2b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes8.0ms (0.1%)

Memory
-27.2MiB live, 12.6MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

5 calls:

3.0ms
b
1.0ms
(*.f64 #s(literal 3 binary64) a)
1.0ms
c
1.0ms
a
1.0ms
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
Results
AccuracySegmentsBranch
7.8%1(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
7.8%1a
7.8%1(*.f64 #s(literal 3 binary64) a)
7.8%1c
7.8%1b
Compiler

Compiled 38 to 26 computations (31.6% saved)

bsearch77.0ms (0.7%)

Memory
28.1MiB live, 67.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
60.0ms
0.0021488054673884397
65514450.83139747
12.0ms
-4.17960469951597e+148
-2.7379880934782687e+146
Samples
37.0ms47×1valid
12.0ms176×0valid
8.0ms42×2valid
3.0ms38×0invalid
2.0ms3valid
Compiler

Compiled 533 to 375 computations (29.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 52.0ms
ival-add: 33.0ms (63.1% of total)
ival-mult: 7.0ms (13.4% of total)
ival-div: 3.0ms (5.7% of total)
ival-sqrt: 3.0ms (5.7% of total)
adjust: 2.0ms (3.8% of total)
ival-sub: 2.0ms (3.8% of total)
ival-neg: 2.0ms (3.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch98.0ms (0.8%)

Memory
-15.3MiB live, 68.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
54.0ms
0.0021488054673884397
65514450.83139747
13.0ms
-2.992795630477222e+145
-2.0061805706723416e+142
Samples
35.0ms40×2valid
14.0ms199×0valid
6.0ms46×1valid
2.0ms24×0invalid
1.0ms3valid
Compiler

Compiled 527 to 360 computations (31.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 48.0ms
ival-div: 31.0ms (64.2% of total)
ival-mult: 7.0ms (14.5% of total)
ival-sqrt: 3.0ms (6.2% of total)
ival-sub: 2.0ms (4.1% of total)
ival-neg: 2.0ms (4.1% of total)
ival-add: 2.0ms (4.1% of total)
adjust: 1.0ms (2.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch54.0ms (0.5%)

Memory
-1.6MiB live, 37.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
27.0ms
0.0021488054673884397
65514450.83139747
21.0ms
-9.962383559955747e+157
-4.17960469951597e+148
Samples
15.0ms214×0valid
8.0ms44×2valid
5.0ms39×1valid
2.0ms23×0invalid
1.0ms3valid
1.0ms4valid
Compiler

Compiled 574 to 417 computations (27.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-mult: 7.0ms (31.4% of total)
ival-div: 3.0ms (13.5% of total)
ival-sqrt: 3.0ms (13.5% of total)
ival-sub: 2.0ms (9% of total)
ival-neg: 2.0ms (9% of total)
ival-add: 2.0ms (9% of total)
adjust: 1.0ms (4.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch79.0ms (0.7%)

Memory
-12.3MiB live, 70.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
42.0ms
0.0021488054673884397
65514450.83139747
32.0ms
-2.0061805706723416e+142
-1.272121455966322e+141
Samples
20.0ms53×1valid
11.0ms153×0valid
9.0ms46×2valid
2.0ms30×0invalid
1.0ms3valid
0.0ms4valid
Compiler

Compiled 471 to 338 computations (28.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 34.0ms
ival-mult: 20.0ms (58.8% of total)
ival-div: 3.0ms (8.8% of total)
ival-sqrt: 3.0ms (8.8% of total)
adjust: 2.0ms (5.9% of total)
ival-sub: 2.0ms (5.9% of total)
ival-neg: 2.0ms (5.9% of total)
ival-add: 2.0ms (5.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch64.0ms (0.6%)

Memory
-4.3MiB live, 31.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
46.0ms
0.0021488054673884397
65514450.83139747
13.0ms
-6856936.697344969
-215924.28143663888
Samples
20.0ms3valid
13.0ms184×0valid
8.0ms45×2valid
5.0ms37×1valid
2.0ms34×0invalid
0.0ms4valid
Compiler

Compiled 504 to 376 computations (25.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 40.0ms
ival-mult: 25.0ms (63.1% of total)
ival-div: 3.0ms (7.6% of total)
ival-sqrt: 3.0ms (7.6% of total)
ival-neg: 2.0ms (5.1% of total)
ival-sub: 2.0ms (5.1% of total)
ival-add: 2.0ms (5.1% of total)
adjust: 1.0ms (2.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch54.0ms (0.5%)

Memory
5.9MiB live, 78.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
33.0ms
0.0021488054673884397
65514450.83139747
13.0ms
-6856936.697344969
-215924.28143663888
Samples
19.0ms185×0valid
8.0ms39×2valid
6.0ms46×1valid
3.0ms41×0invalid
0.0ms3valid
Compiler

Compiled 483 to 362 computations (25.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-sqrt: 9.0ms (33.8% of total)
ival-mult: 7.0ms (26.3% of total)
ival-div: 3.0ms (11.3% of total)
ival-sub: 2.0ms (7.5% of total)
ival-neg: 2.0ms (7.5% of total)
ival-add: 2.0ms (7.5% of total)
adjust: 1.0ms (3.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch34.0ms (0.3%)

Memory
23.1MiB live, 23.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
30.0ms
-3.722505631255059e-290
1.4711006443958461e-285
Samples
13.0ms192×0valid
7.0ms105×0invalid
Compiler

Compiled 299 to 222 computations (25.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-mult: 5.0ms (37.6% of total)
ival-div: 2.0ms (15% of total)
ival-sqrt: 2.0ms (15% of total)
ival-add: 1.0ms (7.5% of total)
ival-sub: 1.0ms (7.5% of total)
ival-neg: 1.0ms (7.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch66.0ms (0.6%)

Memory
-24.5MiB live, 21.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
62.0ms
1.4711006443958461e-285
2.439776262746942e-274
Samples
49.0ms160×0valid
6.0ms88×0invalid
Compiler

Compiled 203 to 158 computations (22.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 49.0ms
ival-sub: 39.0ms (80.2% of total)
ival-mult: 4.0ms (8.2% of total)
ival-div: 2.0ms (4.1% of total)
ival-sqrt: 2.0ms (4.1% of total)
ival-add: 1.0ms (2.1% of total)
ival-neg: 1.0ms (2.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch36.0ms (0.3%)

Memory
25.1MiB live, 62.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
33.0ms
471181587.1684371
161847038181.08548
Samples
18.0ms36×2valid
6.0ms43×1valid
3.0ms48×0valid
1.0ms17×0invalid
0.0ms4valid
Compiler

Compiled 167 to 130 computations (22.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-sub: 12.0ms (51.9% of total)
ival-mult: 4.0ms (17.3% of total)
ival-div: 2.0ms (8.6% of total)
ival-sqrt: 2.0ms (8.6% of total)
adjust: 1.0ms (4.3% of total)
ival-neg: 1.0ms (4.3% of total)
ival-add: 1.0ms (4.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch31.0ms (0.3%)

Memory
0.1MiB live, 74.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
28.0ms
471181587.1684371
161847038181.08548
Samples
11.0ms36×2valid
6.0ms44×1valid
5.0ms48×0valid
2.0ms20×0invalid
Compiler

Compiled 167 to 130 computations (22.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-mult: 8.0ms (47.5% of total)
ival-div: 2.0ms (11.9% of total)
ival-sqrt: 2.0ms (11.9% of total)
adjust: 1.0ms (5.9% of total)
ival-sub: 1.0ms (5.9% of total)
ival-neg: 1.0ms (5.9% of total)
ival-add: 1.0ms (5.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

simplify20.0ms (0.2%)

Memory
-39.8MiB live, 29.1MiB allocated
Algorithm
egg-herbie
Rules
38×*-commutative_binary64
16×+-commutative_binary64
14×sub-neg_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0104274
1128273
2142273
3150273
4154273
5155273
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 b #s(literal -19500000000000000103282038181520826439169589200094192134854856749057429247699675580332349062433699646085567206097772005341461934570743145872633102336 binary64)) (*.f64 (/.f64 #s(literal -2/3 binary64) a) b) (if (<=.f64 b #s(literal 395 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal -3 binary64))) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)))
(if (<=.f64 b #s(literal -1350000000000000075379297654816724413414409829804403819283507037451954516920471220070497732554612807074217153707865064474058779051282419951861760 binary64)) (*.f64 (/.f64 #s(literal -2/3 binary64) a) b) (if (<=.f64 b #s(literal 1080863910568919/36028797018963968 binary64)) (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)))
(if (<=.f64 b #s(literal -330000000000000012936972930737916214446210513662125362091580445564781634486704210669119563648397948291754523802572569155593943235352488541583956418494464 binary64)) (*.f64 (/.f64 #s(literal -2/3 binary64) a) b) (if (<=.f64 b #s(literal 3112888062438487/1152921504606846976 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)))
(if (<=.f64 b #s(literal -1800000000000000064403260230890855733791945083709469370549401630979994366695008754174448698020400109432622792129502662822296979341767551746048 binary64)) (/.f64 b (*.f64 a #s(literal -3/2 binary64))) (if (<=.f64 b #s(literal 3314649325744685/72057594037927936 binary64)) (*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)))
(if (<=.f64 b #s(literal -340000 binary64)) (*.f64 (fma.f64 c (/.f64 #s(literal -1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)) (if (<=.f64 b #s(literal 5764607523034235/576460752303423488 binary64)) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a))) b)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)))
(if (<=.f64 b #s(literal -220000 binary64)) (fma.f64 c (/.f64 #s(literal 1/2 binary64) b) (*.f64 b (/.f64 #s(literal -2/3 binary64) a))) (if (<=.f64 b #s(literal 5072854620270127/2305843009213693952 binary64)) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a))) b)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)))
(if (<=.f64 b #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (fma.f64 c (/.f64 #s(literal 1/2 binary64) b) (*.f64 b (/.f64 #s(literal -2/3 binary64) a))) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))
(if (<=.f64 b #s(literal 8572068857490139/5357543035931336604742125245300009052807024058527668037218751941851755255624680612465991894078479290637973364587765734125935726428461570217992288787349287401967283887412115492710537302531185570938977091076523237491790970633699383779582771973038531457285598238843271083830214915826312193418602834034688 binary64)) (/.f64 b (*.f64 a #s(literal -3/2 binary64))) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))
(if (<=.f64 b #s(literal 600000000 binary64)) (/.f64 b (*.f64 a #s(literal -3/2 binary64))) (*.f64 c (/.f64 #s(literal 1/2 binary64) b)))
(if (<=.f64 b #s(literal 1100000000 binary64)) (*.f64 (/.f64 #s(literal -2/3 binary64) a) b) (*.f64 c (/.f64 #s(literal 1/2 binary64) b)))
(*.f64 c (/.f64 #s(literal 1/2 binary64) b))
Outputs
(if (<=.f64 b #s(literal -19500000000000000103282038181520826439169589200094192134854856749057429247699675580332349062433699646085567206097772005341461934570743145872633102336 binary64)) (*.f64 (/.f64 #s(literal -2/3 binary64) a) b) (if (<=.f64 b #s(literal 395 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal -3 binary64))) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)))
(if (<=.f64 b #s(literal -19500000000000000103282038181520826439169589200094192134854856749057429247699675580332349062433699646085567206097772005341461934570743145872633102336 binary64)) (*.f64 b (/.f64 #s(literal -2/3 binary64) a)) (if (<=.f64 b #s(literal 395 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal -3 binary64))) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)))
(if (<=.f64 b #s(literal -1350000000000000075379297654816724413414409829804403819283507037451954516920471220070497732554612807074217153707865064474058779051282419951861760 binary64)) (*.f64 (/.f64 #s(literal -2/3 binary64) a) b) (if (<=.f64 b #s(literal 1080863910568919/36028797018963968 binary64)) (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)))
(if (<=.f64 b #s(literal -1350000000000000075379297654816724413414409829804403819283507037451954516920471220070497732554612807074217153707865064474058779051282419951861760 binary64)) (*.f64 b (/.f64 #s(literal -2/3 binary64) a)) (if (<=.f64 b #s(literal 1080863910568919/36028797018963968 binary64)) (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)))
(if (<=.f64 b #s(literal -330000000000000012936972930737916214446210513662125362091580445564781634486704210669119563648397948291754523802572569155593943235352488541583956418494464 binary64)) (*.f64 (/.f64 #s(literal -2/3 binary64) a) b) (if (<=.f64 b #s(literal 3112888062438487/1152921504606846976 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)))
(if (<=.f64 b #s(literal -330000000000000012936972930737916214446210513662125362091580445564781634486704210669119563648397948291754523802572569155593943235352488541583956418494464 binary64)) (*.f64 b (/.f64 #s(literal -2/3 binary64) a)) (if (<=.f64 b #s(literal 3112888062438487/1152921504606846976 binary64)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)))
(if (<=.f64 b #s(literal -1800000000000000064403260230890855733791945083709469370549401630979994366695008754174448698020400109432622792129502662822296979341767551746048 binary64)) (/.f64 b (*.f64 a #s(literal -3/2 binary64))) (if (<=.f64 b #s(literal 3314649325744685/72057594037927936 binary64)) (*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)))
(if (<=.f64 b #s(literal -1800000000000000064403260230890855733791945083709469370549401630979994366695008754174448698020400109432622792129502662822296979341767551746048 binary64)) (/.f64 b (*.f64 a #s(literal -3/2 binary64))) (if (<=.f64 b #s(literal 3314649325744685/72057594037927936 binary64)) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (/.f64 #s(literal -1/3 binary64) a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)))
(if (<=.f64 b #s(literal -340000 binary64)) (*.f64 (fma.f64 c (/.f64 #s(literal -1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)) (if (<=.f64 b #s(literal 5764607523034235/576460752303423488 binary64)) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a))) b)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)))
(if (<=.f64 b #s(literal -340000 binary64)) (*.f64 (neg.f64 b) (fma.f64 c (/.f64 #s(literal -1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a))) (if (<=.f64 b #s(literal 5764607523034235/576460752303423488 binary64)) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 a c))) b)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)))
(if (<=.f64 b #s(literal -220000 binary64)) (fma.f64 c (/.f64 #s(literal 1/2 binary64) b) (*.f64 b (/.f64 #s(literal -2/3 binary64) a))) (if (<=.f64 b #s(literal 5072854620270127/2305843009213693952 binary64)) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a))) b)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)))
(if (<=.f64 b #s(literal -220000 binary64)) (fma.f64 c (/.f64 #s(literal 1/2 binary64) b) (*.f64 b (/.f64 #s(literal -2/3 binary64) a))) (if (<=.f64 b #s(literal 5072854620270127/2305843009213693952 binary64)) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 a c))) b)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)))
(if (<=.f64 b #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (fma.f64 c (/.f64 #s(literal 1/2 binary64) b) (*.f64 b (/.f64 #s(literal -2/3 binary64) a))) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))
(if (<=.f64 b #s(literal 8572068857490139/5357543035931336604742125245300009052807024058527668037218751941851755255624680612465991894078479290637973364587765734125935726428461570217992288787349287401967283887412115492710537302531185570938977091076523237491790970633699383779582771973038531457285598238843271083830214915826312193418602834034688 binary64)) (/.f64 b (*.f64 a #s(literal -3/2 binary64))) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))
(if (<=.f64 b #s(literal 600000000 binary64)) (/.f64 b (*.f64 a #s(literal -3/2 binary64))) (*.f64 c (/.f64 #s(literal 1/2 binary64) b)))
(if (<=.f64 b #s(literal 1100000000 binary64)) (*.f64 (/.f64 #s(literal -2/3 binary64) a) b) (*.f64 c (/.f64 #s(literal 1/2 binary64) b)))
(if (<=.f64 b #s(literal 1100000000 binary64)) (*.f64 b (/.f64 #s(literal -2/3 binary64) a)) (*.f64 c (/.f64 #s(literal 1/2 binary64) b)))
(*.f64 c (/.f64 #s(literal 1/2 binary64) b))

soundness1.1s (9.9%)

Memory
39.7MiB live, 1 065.0MiB allocated
Rules
13 850×accelerator-lowering-fma.f32
13 850×accelerator-lowering-fma.f64
11 230×accelerator-lowering-fma.f32
11 230×accelerator-lowering-fma.f64
10 788×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06876493
122396448
276296388
086556130
035197
1208192
21379192
08351178
01251
16349
251748
3680848
0809744
037167
1200158
21563157
08190148
083712046
1271311956
0817611407
05603466
117673443
262153400
082643230
07707379
124867342
083397030
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 812 to 488 computations (39.9% saved)

preprocess71.0ms (0.6%)

Memory
-23.9MiB live, 134.8MiB allocated
Compiler

Compiled 592 to 230 computations (61.1% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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