quadp (p42, positive)

Time bar (total: 12.5s)

analyze157.0ms (1.3%)

Memory
24.0MiB live, 179.9MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
25%25%74.9%0.1%0%0%0%4
37.5%37.4%62.4%0.1%0%0%0%5
37.5%37.4%62.4%0.1%0%0%0%6
40%37.4%56.2%0.1%0%6.2%0%7
48.3%45.2%48.4%0.1%0%6.2%0%8
53%48.4%42.9%0.1%0%8.6%0%9
58.1%50.3%36.3%0.1%0%13.3%0%10
66.1%56.8%29.1%0.1%0%14%0%11
70.4%58.8%24.7%0.1%0%16.4%0%12
Compiler

Compiled 19 to 16 computations (15.8% saved)

sample1.5s (12.1%)

Memory
28.0MiB live, 1 420.8MiB allocated
Samples
474.0ms5 610×0valid
244.0ms1 109×2valid
197.0ms1 314×1valid
145.0ms941×0invalid
48.0ms168×3valid
17.0ms55×4valid
5.0ms14×5exit
Precisions
Click to see histograms. Total time spent on operations: 816.0ms
ival-mult: 318.0ms (39% of total)
ival-sqrt: 102.0ms (12.5% of total)
ival-div: 97.0ms (11.9% of total)
ival-sub: 82.0ms (10% of total)
ival-neg: 70.0ms (8.6% of total)
ival-add: 68.0ms (8.3% of total)
adjust: 59.0ms (7.2% of total)
exact: 10.0ms (1.2% of total)
ival-true: 7.0ms (0.9% of total)
ival-assert: 4.0ms (0.5% of total)
Bogosity

preprocess167.0ms (1.3%)

Memory
15.5MiB live, 134.1MiB allocated
Algorithm
2×egg-herbie
Rules
1 670×div-sub
1 120×accelerator-lowering-fma.f32
1 120×accelerator-lowering-fma.f64
1 032×sub-neg
792×associate-/r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
060175
1169160
2431160
31262160
43340160
56300160
01417
13216
26516
314716
422316
536116
664416
7110816
8221816
9250316
10262916
11268416
12268516
13268516
14269116
0269115
Stop Event
1×iter limit
1×saturated
1×node limit
Calls
Call 1
Inputs
(/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a))
Outputs
(/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a))
(fma.f64 (-.f64 (sqrt.f64 (fma.f64 a (fma.f64 c #s(literal -4 binary64) #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)))) b) (/.f64 #s(literal 1/2 binary64) a) #s(literal 0 binary64))
Call 2
Inputs
(/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a))
(/ (+ (neg b) (sqrt (- (* b b) (* 4 (* (neg a) c))))) (* 2 (neg a)))
(/ (+ (neg (neg b)) (sqrt (- (* (neg b) (neg b)) (* 4 (* a c))))) (* 2 a))
(/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a (neg c)))))) (* 2 a))
(neg (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* (neg a) c))))) (* 2 (neg a))))
(neg (/ (+ (neg (neg b)) (sqrt (- (* (neg b) (neg b)) (* 4 (* a c))))) (* 2 a)))
(neg (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a (neg c)))))) (* 2 a)))
(/ (+ (neg a) (sqrt (- (* a a) (* 4 (* b c))))) (* 2 b))
(/ (+ (neg b) (sqrt (- (* b b) (* 4 (* c a))))) (* 2 c))
(/ (+ (neg c) (sqrt (- (* c c) (* 4 (* a b))))) (* 2 a))
Outputs
(/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a))
(/ (- (sqrt (+ (* b b) (* a (* c -4)))) b) (* a 2))
(/ (+ (neg b) (sqrt (- (* b b) (* 4 (* (neg a) c))))) (* 2 (neg a)))
(/ (- (sqrt (+ (* b b) (* 4 (* a c)))) b) (* a -2))
(/ (+ (neg (neg b)) (sqrt (- (* (neg b) (neg b)) (* 4 (* a c))))) (* 2 a))
(/ (+ b (sqrt (+ (* b b) (* a (* c -4))))) (* a 2))
(/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a (neg c)))))) (* 2 a))
(/ (- (sqrt (+ (* b b) (* 4 (* a c)))) b) (* a 2))
(neg (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* (neg a) c))))) (* 2 (neg a))))
(/ (- (sqrt (+ (* b b) (* 4 (* a c)))) b) (* a 2))
(neg (/ (+ (neg (neg b)) (sqrt (- (* (neg b) (neg b)) (* 4 (* a c))))) (* 2 a)))
(/ (+ b (sqrt (+ (* b b) (* a (* c -4))))) (* a -2))
(neg (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a (neg c)))))) (* 2 a)))
(/ (- (sqrt (+ (* b b) (* 4 (* a c)))) b) (* a -2))
(/ (+ (neg a) (sqrt (- (* a a) (* 4 (* b c))))) (* 2 b))
(/ (- (sqrt (+ (* a a) (* b (* c -4)))) a) (* b 2))
(/ (+ (neg b) (sqrt (- (* b b) (* 4 (* c a))))) (* 2 c))
(/ (- (sqrt (+ (* b b) (* a (* c -4)))) b) (* c 2))
(/ (+ (neg c) (sqrt (- (* c c) (* 4 (* a b))))) (* 2 a))
(/ (- (sqrt (+ (* c c) (* b (* a -4)))) c) (* a 2))

explain199.0ms (1.6%)

Memory
-12.4MiB live, 282.8MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
930-0-(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))
670-0-(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))))
140-2(1.808852427230031e-111 5.4885453629446835e+56 1.4041435405793868e-147)(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a))
10-0-(-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))
00-0-a
00-0-(*.f64 #s(literal 4 binary64) (*.f64 a c))
00-0-(*.f64 a c)
00-0-#s(literal 4 binary64)
00-0-(*.f64 b b)
00-0-(*.f64 #s(literal 2 binary64) a)
00-0-c
00-0-#s(literal 2 binary64)
00-0-(neg.f64 b)
00-0-b
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
sqrt.f64(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))oflow-rescue880
↳(*.f64 b b)overflow76
↳(*.f64 #s(literal 4 binary64) (*.f64 a c))overflow21
↳(*.f64 a c)overflow19
↳(-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))overflow88
+.f64(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))))cancellation670
/.f64(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a))u/n120
↳(*.f64 b b)underflow46
↳(*.f64 #s(literal 4 binary64) (*.f64 a c))underflow25
↳(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))))underflow22
↳(*.f64 a c)underflow25
↳(-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))underflow5
sqrt.f64(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))uflow-rescue50
↳(*.f64 b b)underflow46
↳(*.f64 #s(literal 4 binary64) (*.f64 a c))underflow25
↳(*.f64 a c)underflow25
↳(-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))underflow5
-.f64(-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))nan-rescue10
↳(*.f64 b b)overflow76
↳(*.f64 #s(literal 4 binary64) (*.f64 a c))overflow21
↳(*.f64 a c)overflow19
Confusion
Predicted +Predicted -
+1260
-19111
Precision
0.8689655172413793
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+12600
-190111
Precision?
0.8689655172413793
Recall?
1.0
Freqs
test
numberfreq
0111
1118
226
31
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
44.0ms336×0valid
20.0ms90×1valid
17.0ms68×2valid
4.0ms12×3valid
2.0ms6×4valid
Compiler

Compiled 184 to 60 computations (67.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 57.0ms
ival-mult: 16.0ms (28.3% of total)
ival-sqrt: 14.0ms (24.8% of total)
ival-add: 9.0ms (15.9% of total)
ival-div: 5.0ms (8.8% of total)
ival-sub: 4.0ms (7.1% of total)
adjust: 4.0ms (7.1% of total)
ival-neg: 4.0ms (7.1% of total)
exact: 1.0ms (1.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶53.2%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a))
Compiler

Compiled 20 to 14 computations (30% saved)

simplify90.0ms (0.7%)

Memory
8.7MiB live, 47.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))
✓cost-diff0
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a))
✓cost-diff192
(-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))
✓cost-diff192
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))))
Rules
1 120×accelerator-lowering-fma.f32
1 120×accelerator-lowering-fma.f64
744×*-lowering-*.f32
744×*-lowering-*.f64
430×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01470
13268
26568
314768
422368
536168
664468
7110868
8221868
9250368
10262968
11268468
12268568
13268568
14269168
0269164
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a))
(+ (neg b) (sqrt (- (* b b) (* 4 (* a c)))))
(neg b)
b
(sqrt (- (* b b) (* 4 (* a c))))
(- (* b b) (* 4 (* a c)))
(* b b)
(* 4 (* a c))
4
(* a c)
a
c
(* 2 a)
2
Outputs
(/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a))
(fma.f64 (-.f64 (sqrt.f64 (fma.f64 a (fma.f64 c #s(literal -4 binary64) #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)))) b) (/.f64 #s(literal 1/2 binary64) a) #s(literal 0 binary64))
(+ (neg b) (sqrt (- (* b b) (* 4 (* a c)))))
(-.f64 (sqrt.f64 (fma.f64 a (fma.f64 c #s(literal -4 binary64) #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)))) b)
(neg b)
(-.f64 #s(literal 0 binary64) b)
b
(sqrt (- (* b b) (* 4 (* a c))))
(sqrt.f64 (fma.f64 a (fma.f64 c #s(literal -4 binary64) #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64))))
(- (* b b) (* 4 (* a c)))
(fma.f64 a (fma.f64 c #s(literal -4 binary64) #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)))
(* b b)
(fma.f64 b b #s(literal 0 binary64))
(* 4 (* a c))
(fma.f64 #s(literal 4 binary64) (fma.f64 a c #s(literal 0 binary64)) #s(literal 0 binary64))
4
#s(literal 4 binary64)
(* a c)
(fma.f64 a c #s(literal 0 binary64))
a
c
(* 2 a)
(fma.f64 a #s(literal 2 binary64) #s(literal 0 binary64))
2
#s(literal 2 binary64)

localize67.0ms (0.5%)

Memory
3.8MiB live, 42.7MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy99.7%
(-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))
✓accuracy95.7%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a))
✓accuracy76.1%
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))))
✓accuracy66.0%
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))
Samples
32.0ms168×0valid
8.0ms34×2valid
8.0ms45×1valid
2.0ms6×3valid
1.0ms3×4valid
Compiler

Compiled 72 to 16 computations (77.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-mult: 9.0ms (38.7% of total)
ival-div: 3.0ms (12.9% of total)
ival-sqrt: 3.0ms (12.9% of total)
ival-sub: 2.0ms (8.6% of total)
adjust: 2.0ms (8.6% of total)
ival-neg: 2.0ms (8.6% of total)
ival-add: 2.0ms (8.6% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series27.0ms (0.2%)

Memory
-12.3MiB live, 28.9MiB allocated
Counts
4 → 144
Calls
Call 1
Inputs
#<alt (+ (neg b) (sqrt (- (* b b) (* 4 (* a c)))))>
#<alt (- (* b b) (* 4 (* a c)))>
#<alt (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a))>
#<alt (sqrt (- (* b b) (* 4 (* a c))))>
Outputs
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (* -2 (/ (* a c) b))>
#<alt (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)>
#<alt (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)>
#<alt (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)>
#<alt (* -2 b)>
#<alt (* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))>
#<alt (* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))>
#<alt (* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))>
#<alt (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))>
#<alt (* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a)))>
#<alt (* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a)))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))>
#<alt (* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))>
#<alt (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))>
#<alt (* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))>
#<alt (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c)))>
#<alt (* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c)))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))>
#<alt (* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -4 (* a c))>
#<alt (- (pow b 2) (* 4 (* a c)))>
#<alt (- (pow b 2) (* 4 (* a c)))>
#<alt (- (pow b 2) (* 4 (* a c)))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (pow b 2)>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (* -4 (* a c))>
#<alt (* a (- (/ (pow b 2) a) (* 4 c)))>
#<alt (* a (- (/ (pow b 2) a) (* 4 c)))>
#<alt (* a (- (/ (pow b 2) a) (* 4 c)))>
#<alt (* -4 (* a c))>
#<alt (* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))>
#<alt (* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))>
#<alt (* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))>
#<alt (pow b 2)>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (* -4 (* a c))>
#<alt (* c (- (/ (pow b 2) c) (* 4 a)))>
#<alt (* c (- (/ (pow b 2) c) (* 4 a)))>
#<alt (* c (- (/ (pow b 2) c) (* 4 a)))>
#<alt (* -4 (* a c))>
#<alt (* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))>
#<alt (* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))>
#<alt (* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))>
#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))>
#<alt (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))>
#<alt (* -1 (/ c b))>
#<alt (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)>
#<alt (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)>
#<alt (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)>
#<alt (* -1 (/ b a))>
#<alt (* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))>
#<alt (* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))>
#<alt (* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))>
#<alt (* -1 (/ c b))>
#<alt (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))>
#<alt (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))>
#<alt (+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))>
#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))>
#<alt (+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))>
#<alt (* -1 (/ c b))>
#<alt (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))>
#<alt (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))>
#<alt (* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))>
#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))>
#<alt (* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))>
#<alt (* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))>
#<alt (+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))>
#<alt b>
#<alt (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))>
#<alt (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))>
#<alt (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))>
#<alt (* -1 b)>
#<alt (* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))>
#<alt (* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))>
#<alt (* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))>
#<alt b>
#<alt (+ b (* -2 (/ (* a c) b)))>
#<alt (+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))>
#<alt (+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))>
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))>
#<alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))>
#<alt b>
#<alt (+ b (* -2 (/ (* a c) b)))>
#<alt (+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))>
#<alt (+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))>
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))>
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))>
#<alt (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))>
Calls

36 calls:

TimeVariablePointExpression
6.0ms
b
@0
(+ (neg b) (sqrt (- (* b b) (* 4 (* a c)))))
1.0ms
b
@inf
(/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a))
1.0ms
c
@inf
(sqrt (- (* b b) (* 4 (* a c))))
1.0ms
b
@0
(/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a))
1.0ms
b
@inf
(+ (neg b) (sqrt (- (* b b) (* 4 (* a c)))))

rewrite356.0ms (2.9%)

Memory
-10.2MiB live, 467.1MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 852×accelerator-lowering-fma.f32
4 852×accelerator-lowering-fma.f64
3 908×*-lowering-*.f32
3 908×*-lowering-*.f64
2 328×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01449
16847
252547
3685747
0815043
Stop Event
1×iter limit
1×node limit
Counts
4 → 409
Calls
Call 1
Inputs
(+ (neg b) (sqrt (- (* b b) (* 4 (* a c)))))
(- (* b b) (* 4 (* a c)))
(/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a))
(sqrt (- (* b b) (* 4 (* a c))))
Outputs
(+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))))
(+.f64 b (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))))))
(+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))) b)
(+.f64 #s(literal 0 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))))))
(+.f64 (/.f64 (fma.f64 b b #s(literal 0 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))))) (neg.f64 (/.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))))))))
(+.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))) #s(literal 0 binary64)) b)
(+.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))))) b)
(-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))) b)
(-.f64 #s(literal 0 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))))))
(-.f64 (/.f64 (fma.f64 b b #s(literal 0 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))))) (/.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))))))
(-.f64 (/.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))))) (/.f64 (fma.f64 b b #s(literal 0 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))))))
(-.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))) #s(literal 0 binary64)) b)
(fma.f64 b #s(literal 1 binary64) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))))
(fma.f64 b #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))))))
(fma.f64 b #s(literal -1 binary64) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))))
(fma.f64 b #s(literal -1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))))))
(fma.f64 b (/.f64 b (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))))) (neg.f64 (/.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))))))))
(fma.f64 (fma.f64 b b #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))))) (neg.f64 (/.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))))))))
(fma.f64 (fma.f64 b b #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))))
(fma.f64 (fma.f64 b b #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) b) (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))))))
(fma.f64 (*.f64 b (fma.f64 b b #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal 0 binary64))) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))))
(fma.f64 (*.f64 b (fma.f64 b b #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal 0 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))))))
(fma.f64 #s(literal 1 binary64) b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))))
(fma.f64 #s(literal 1 binary64) b (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))))))
(fma.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b #s(literal 0 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))))) (neg.f64 (/.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))))))))
(fma.f64 #s(literal -1 binary64) b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))))
(fma.f64 #s(literal -1 binary64) b (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))))))
(fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 b b #s(literal 0 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))))) (neg.f64 (/.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))))))))
(fma.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) #s(literal -64 binary64) (*.f64 b (*.f64 b (*.f64 b (*.f64 b (fma.f64 b b #s(literal 0 binary64)))))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a c) (fma.f64 (*.f64 a c) #s(literal 16 binary64) (*.f64 (fma.f64 b b #s(literal 0 binary64)) #s(literal 4 binary64))) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 0 binary64)))))) #s(literal 1/2 binary64)) b)
(fma.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) #s(literal -64 binary64) (*.f64 b (*.f64 b (*.f64 b (*.f64 b (fma.f64 b b #s(literal 0 binary64)))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a c) (fma.f64 (*.f64 a c) #s(literal 16 binary64) (*.f64 (fma.f64 b b #s(literal 0 binary64)) #s(literal 4 binary64))) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 0 binary64))))))) b)
(fma.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) #s(literal -64 binary64) (*.f64 b (*.f64 b (*.f64 b (*.f64 b (fma.f64 b b #s(literal 0 binary64)))))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (*.f64 a c) (fma.f64 (*.f64 a c) #s(literal 16 binary64) (*.f64 (fma.f64 b b #s(literal 0 binary64)) #s(literal 4 binary64))) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 0 binary64))))))) b)
(fma.f64 (sqrt.f64 (fma.f64 (*.f64 a (*.f64 c (*.f64 a c))) #s(literal -16 binary64) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 0 binary64)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))) #s(literal 1/2 binary64)) b)
(fma.f64 (sqrt.f64 (fma.f64 (*.f64 a (*.f64 c (*.f64 a c))) #s(literal -16 binary64) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 0 binary64)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c))))) b)
(fma.f64 (sqrt.f64 (fma.f64 (*.f64 a (*.f64 c (*.f64 a c))) #s(literal -16 binary64) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 0 binary64)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c))))) b)
(fma.f64 (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))) #s(literal 1/4 binary64)) b)
(fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))))) (sqrt.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))))) b)
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(/.f64 (sqrt.f64 (fma.f64 (*.f64 a (*.f64 c (*.f64 a c))) #s(literal -16 binary64) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 0 binary64)))))) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))))
(/.f64 (sqrt.f64 (fma.f64 #s(literal 64 binary64) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 b (*.f64 b (*.f64 b (*.f64 b (fma.f64 b b #s(literal 0 binary64)))))))) (sqrt.f64 (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 0 binary64))) (*.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) #s(literal -64 binary64) (*.f64 b (*.f64 b (*.f64 b (*.f64 b (fma.f64 b b #s(literal 0 binary64))))))))) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 a c) (fma.f64 (*.f64 a c) #s(literal 16 binary64) (*.f64 (fma.f64 b b #s(literal 0 binary64)) #s(literal 4 binary64))) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 0 binary64))))))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 a (*.f64 c (*.f64 a c))) #s(literal -16 binary64) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 0 binary64))))))) (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c))))))
(/.f64 (fma.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))) #s(literal 0 binary64)) (+.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))) #s(literal 0 binary64)))))
(/.f64 (-.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))) #s(literal 0 binary64)) (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))) #s(literal 0 binary64)))
(pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))) #s(literal 1 binary64))
(pow.f64 (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 0 binary64))) (*.f64 a (*.f64 c (*.f64 (*.f64 a c) #s(literal 16 binary64))))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) #s(literal -64 binary64) (*.f64 b (*.f64 b (*.f64 b (*.f64 b (fma.f64 b b #s(literal 0 binary64)))))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a c) (fma.f64 (*.f64 a c) #s(literal 16 binary64) (*.f64 (fma.f64 b b #s(literal 0 binary64)) #s(literal 4 binary64))) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 0 binary64)))))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) #s(literal -64 binary64) (*.f64 b (*.f64 b (*.f64 b (*.f64 b (fma.f64 b b #s(literal 0 binary64)))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a c) (fma.f64 (*.f64 a c) #s(literal 16 binary64) (*.f64 (fma.f64 b b #s(literal 0 binary64)) #s(literal 4 binary64))) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 0 binary64))))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) #s(literal -64 binary64) (*.f64 b (*.f64 b (*.f64 b (*.f64 b (fma.f64 b b #s(literal 0 binary64)))))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (*.f64 a c) (fma.f64 (*.f64 a c) #s(literal 16 binary64) (*.f64 (fma.f64 b b #s(literal 0 binary64)) #s(literal 4 binary64))) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 0 binary64))))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 a (*.f64 c (*.f64 a c))) #s(literal -16 binary64) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 0 binary64)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 a (*.f64 c (*.f64 a c))) #s(literal -16 binary64) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 0 binary64)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 a (*.f64 c (*.f64 a c))) #s(literal -16 binary64) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 0 binary64)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c))))))
(*.f64 (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))))) (sqrt.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))))))

simplify427.0ms (3.4%)

Memory
26.2MiB live, 606.2MiB allocated
Algorithm
1×egg-herbie
Rules
11 458×accelerator-lowering-fma.f32
11 458×accelerator-lowering-fma.f64
7 766×*-lowering-*.f32
7 766×*-lowering-*.f64
2 546×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05453249
117383208
260833180
082433023
Stop Event
1×iter limit
1×node limit
Counts
144 → 144
Calls
Call 1
Inputs
(* (sqrt (* a c)) (sqrt -4))
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(* -2 (/ (* a c) b))
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
(* -2 b)
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -2 (/ (* a c) b))
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -2 (/ (* a c) b))
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c)))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -4 (* a c))
(- (pow b 2) (* 4 (* a c)))
(- (pow b 2) (* 4 (* a c)))
(- (pow b 2) (* 4 (* a c)))
(pow b 2)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(pow b 2)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* -4 (* a c))
(* a (- (/ (pow b 2) a) (* 4 c)))
(* a (- (/ (pow b 2) a) (* 4 c)))
(* a (- (/ (pow b 2) a) (* 4 c)))
(* -4 (* a c))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* -4 (* a c))
(* c (- (/ (pow b 2) c) (* 4 a)))
(* c (- (/ (pow b 2) c) (* 4 a)))
(* c (- (/ (pow b 2) c) (* 4 a)))
(* -4 (* a c))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))
(* -1 (/ c b))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* (sqrt (* a c)) (sqrt -4))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))
b
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 b)
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
Outputs
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) (-.f64 #s(literal 0 binary64) b))
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(fma.f64 b (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 (/.f64 b (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))))
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(fma.f64 b (fma.f64 b (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c))))))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1/32 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -4 binary64))))) #s(literal -1 binary64)) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))))
(* -2 (/ (* a c) b))
(*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b))
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 a c))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c))))) (*.f64 (*.f64 b b) (*.f64 b b))) (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 a c)))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
(/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c))))) (*.f64 (*.f64 b b) (*.f64 b b))) (fma.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 a c)) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (/.f64 #s(literal 20 binary64) (pow.f64 b #s(literal 6 binary64))))))) b)
(* -2 b)
(*.f64 b #s(literal -2 binary64))
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(*.f64 b (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 a c) (/.f64 #s(literal -2 binary64) (*.f64 b b)) #s(literal 2 binary64))))
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(*.f64 (fma.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 c (*.f64 b b)) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 (*.f64 b b) (*.f64 b b)))) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) b))
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(*.f64 b (-.f64 #s(literal 0 binary64) (fma.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 c (*.f64 b b)) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 (*.f64 b b) (*.f64 b b)))) (fma.f64 #s(literal -4 binary64) (*.f64 (*.f64 a (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 6 binary64)))) #s(literal 2 binary64)))))
(* -2 (/ (* a c) b))
(*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b))
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))
(*.f64 (*.f64 a #s(literal -2 binary64)) (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))) (/.f64 c b)))
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))
(*.f64 a (fma.f64 a (fma.f64 (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) (*.f64 a #s(literal -4 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b)))) (*.f64 #s(literal -2 binary64) (/.f64 c b))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 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)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 a b)) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b)))) (*.f64 #s(literal -2 binary64) (/.f64 c b))))
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(*.f64 a (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b (-.f64 #s(literal 0 binary64) a))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a)))
(*.f64 a (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 b b) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a)))))) (sqrt.f64 #s(literal -4 binary64))) (/.f64 b (-.f64 #s(literal 0 binary64) a)))))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a)))
(*.f64 a (fma.f64 (/.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 -4 binary64))) #s(literal 1/32 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 b b) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a)))))) (sqrt.f64 #s(literal -4 binary64))) (/.f64 b (-.f64 #s(literal 0 binary64) a))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (sqrt.f64 (*.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -2 binary64)))
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (/.f64 b a)) (-.f64 #s(literal 0 binary64) a))
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(*.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/4 binary64)) (-.f64 #s(literal 0 binary64) b)) a)) (-.f64 #s(literal 0 binary64) a))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (+.f64 (/.f64 (fma.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 a c))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/64 binary64)))) a) b) a)) (-.f64 #s(literal 0 binary64) a))
(* -2 (/ (* a c) b))
(*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b))
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))
(*.f64 (*.f64 c #s(literal -2 binary64)) (fma.f64 a (/.f64 (*.f64 a c) (*.f64 b (*.f64 b b))) (/.f64 a b)))
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))
(*.f64 c (fma.f64 c (fma.f64 (/.f64 (*.f64 a (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))) (*.f64 c #s(literal -4 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -2 binary64)) b)))
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b))))))))
(*.f64 c (fma.f64 c (fma.f64 c (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 c b)) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 a (*.f64 a a))) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -2 binary64)) b)))
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(*.f64 c (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c)) (/.f64 b (-.f64 #s(literal 0 binary64) c))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c)))
(*.f64 c (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a 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 -4 binary64))) #s(literal 1/2 binary64)) (/.f64 b (-.f64 #s(literal 0 binary64) c)))))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c)))
(*.f64 c (fma.f64 (/.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 -4 binary64))) #s(literal 1/32 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a 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 -4 binary64))) #s(literal 1/2 binary64)) (/.f64 b (-.f64 #s(literal 0 binary64) c))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (sqrt.f64 (*.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -2 binary64)))
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (/.f64 b c)) (-.f64 #s(literal 0 binary64) c))
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(-.f64 #s(literal 0 binary64) (*.f64 c (-.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/4 binary64)) (-.f64 #s(literal 0 binary64) b)) c))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (/.f64 (+.f64 (/.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) #s(literal -1/64 binary64)))) c) b) c)) (-.f64 #s(literal 0 binary64) c))
(* -4 (* a c))
(*.f64 a (*.f64 c #s(literal -4 binary64)))
(- (pow b 2) (* 4 (* a c)))
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))
(- (pow b 2) (* 4 (* a c)))
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))
(- (pow b 2) (* 4 (* a c)))
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(*.f64 (*.f64 b b) (fma.f64 (*.f64 a c) (/.f64 #s(literal -4 binary64) (*.f64 b b)) #s(literal 1 binary64)))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(*.f64 (*.f64 b b) (fma.f64 (*.f64 a c) (/.f64 #s(literal -4 binary64) (*.f64 b b)) #s(literal 1 binary64)))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(*.f64 (*.f64 b b) (fma.f64 (*.f64 a c) (/.f64 #s(literal -4 binary64) (*.f64 b b)) #s(literal 1 binary64)))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(*.f64 (*.f64 b b) (fma.f64 (*.f64 a c) (/.f64 #s(literal -4 binary64) (*.f64 b b)) #s(literal 1 binary64)))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(*.f64 (*.f64 b b) (fma.f64 (*.f64 a c) (/.f64 #s(literal -4 binary64) (*.f64 b b)) #s(literal 1 binary64)))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(*.f64 (*.f64 b b) (fma.f64 (*.f64 a c) (/.f64 #s(literal -4 binary64) (*.f64 b b)) #s(literal 1 binary64)))
(pow b 2)
(*.f64 b b)
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))
(* -4 (* a c))
(*.f64 a (*.f64 c #s(literal -4 binary64)))
(* a (- (/ (pow b 2) a) (* 4 c)))
(*.f64 a (fma.f64 c #s(literal -4 binary64) (/.f64 (*.f64 b b) a)))
(* a (- (/ (pow b 2) a) (* 4 c)))
(*.f64 a (fma.f64 c #s(literal -4 binary64) (/.f64 (*.f64 b b) a)))
(* a (- (/ (pow b 2) a) (* 4 c)))
(*.f64 a (fma.f64 c #s(literal -4 binary64) (/.f64 (*.f64 b b) a)))
(* -4 (* a c))
(*.f64 a (*.f64 c #s(literal -4 binary64)))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
(*.f64 a (fma.f64 c #s(literal -4 binary64) (/.f64 (*.f64 b b) a)))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
(*.f64 a (fma.f64 c #s(literal -4 binary64) (/.f64 (*.f64 b b) a)))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
(*.f64 a (fma.f64 c #s(literal -4 binary64) (/.f64 (*.f64 b b) a)))
(pow b 2)
(*.f64 b b)
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))
(* -4 (* a c))
(*.f64 a (*.f64 c #s(literal -4 binary64)))
(* c (- (/ (pow b 2) c) (* 4 a)))
(*.f64 c (fma.f64 a #s(literal -4 binary64) (/.f64 (*.f64 b b) c)))
(* c (- (/ (pow b 2) c) (* 4 a)))
(*.f64 c (fma.f64 a #s(literal -4 binary64) (/.f64 (*.f64 b b) c)))
(* c (- (/ (pow b 2) c) (* 4 a)))
(*.f64 c (fma.f64 a #s(literal -4 binary64) (/.f64 (*.f64 b b) c)))
(* -4 (* a c))
(*.f64 a (*.f64 c #s(literal -4 binary64)))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(*.f64 c (fma.f64 a #s(literal -4 binary64) (/.f64 (*.f64 b b) c)))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(*.f64 c (fma.f64 a #s(literal -4 binary64) (/.f64 (*.f64 b b) c)))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(*.f64 c (fma.f64 a #s(literal -4 binary64) (/.f64 (*.f64 b b) c)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 1/2 binary64)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 b a)))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 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 -4 binary64))) #s(literal 1/4 binary64)) (/.f64 #s(literal -1/2 binary64) a)) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 1/2 binary64))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))
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(*.f64 a (fma.f64 (/.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 -4 binary64))) #s(literal 1/32 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b b) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))))) (sqrt.f64 #s(literal -4 binary64))))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(*.f64 a (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 c #s(literal 5 binary64)) (pow.f64 a #s(literal 7 binary64)))))) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64))) (fma.f64 (/.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 -4 binary64))) #s(literal 1/32 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b b) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))))) (sqrt.f64 #s(literal -4 binary64)))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (sqrt.f64 (*.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -2 binary64)))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(*.f64 (fma.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)))) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) a))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 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 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/64 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)))) #s(literal 1/4 binary64))))) (-.f64 #s(literal 0 binary64) a))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
(*.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 (*.f64 b b) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/64 binary64)) (fma.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (fma.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)))) #s(literal 1/4 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 (*.f64 (pow.f64 b #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/512 binary64)))))) (-.f64 #s(literal 0 binary64) a))
b
(+ b (* -2 (/ (* a c) b)))
(fma.f64 a (*.f64 #s(literal -2 binary64) (/.f64 c b)) b)
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(fma.f64 (*.f64 c #s(literal -2 binary64)) (fma.f64 a (/.f64 (*.f64 a c) (*.f64 b (*.f64 b b))) (/.f64 a b)) b)
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (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 c #s(literal -4 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -2 binary64)) b)) b)
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(*.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 -4 binary64))) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(*.f64 c (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c)) (fma.f64 (/.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 -4 binary64))) #s(literal 1/32 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/2 binary64))))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(*.f64 c (fma.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 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 -4 binary64)) (sqrt.f64 (/.f64 a c)) (fma.f64 (/.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 -4 binary64))) #s(literal 1/32 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/2 binary64)))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (sqrt.f64 (*.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -2 binary64)))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(*.f64 (-.f64 #s(literal 0 binary64) c) (fma.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/4 binary64)))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(-.f64 #s(literal 0 binary64) (*.f64 c (fma.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (fma.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (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))))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/4 binary64)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
(-.f64 #s(literal 0 binary64) (*.f64 c (fma.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (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))))))) (fma.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/4 binary64)) (*.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 (pow.f64 b #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/512 binary64))))))))

eval77.0ms (0.6%)

Memory
10.3MiB live, 171.0MiB allocated
Compiler

Compiled 22 762 to 1 970 computations (91.3% saved)

prune103.0ms (0.8%)

Memory
-15.6MiB live, 224.7MiB allocated
Pruning

19 alts after pruning (19 fresh and 0 done)

PrunedKeptTotal
New53419553
Fresh000
Picked101
Done000
Total53519554
Accuracy
93.9%
Counts
554 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
31.5%
(fma.f64 b (/.f64 c (*.f64 b b)) (/.f64 b (-.f64 #s(literal 0 binary64) a)))
24.1%
(/.f64 (fma.f64 b b (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))) (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))))) (*.f64 a #s(literal -2 binary64))))
32.4%
(/.f64 (-.f64 (/.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))))) (/.f64 (fma.f64 b b #s(literal 0 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))))))) (*.f64 #s(literal 2 binary64) a))
▶53.2%
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))) b) (*.f64 #s(literal 2 binary64) a))
11.0%
(/.f64 (+.f64 (neg.f64 b) (fma.f64 a (*.f64 #s(literal -2 binary64) (/.f64 c b)) b)) (*.f64 #s(literal 2 binary64) a))
▶52.5%
(/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))))))) (*.f64 #s(literal 2 binary64) a))
48.5%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (fma.f64 a #s(literal -4 binary64) (/.f64 (*.f64 b b) c))))) (*.f64 #s(literal 2 binary64) a))
34.4%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))
10.3%
(/.f64 (+.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a))
▶29.9%
(/.f64 (*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b)) (*.f64 #s(literal 2 binary64) a))
32.6%
(/.f64 b (-.f64 #s(literal 0 binary64) a))
35.4%
(/.f64 #s(literal 1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))))))
35.4%
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))))) a))
▶36.7%
(-.f64 #s(literal 0 binary64) (/.f64 c b))
22.8%
(*.f64 (fma.f64 b b (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))))))
22.8%
(*.f64 (fma.f64 b b (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))) (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 #s(literal 2 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))))))))
▶53.1%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))))))
32.4%
(*.f64 c (fma.f64 c (fma.f64 (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 c #s(literal -2 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1 binary64) b)))
29.7%
(neg.f64 (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) b))
Compiler

Compiled 802 to 502 computations (37.4% saved)

simplify312.0ms (2.5%)

Memory
-33.4MiB live, 352.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))))))
✓cost-diff128
(/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))))))) (*.f64 #s(literal 2 binary64) a))
✓cost-diff192
(+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))))))
✓cost-diff0
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))
✓cost-diff0
(sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))))
✓cost-diff0
(-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))))
✓cost-diff0
(/.f64 #s(literal -1/2 binary64) a)
✓cost-diff-64
(*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b))
✓cost-diff0
(*.f64 #s(literal 2 binary64) a)
✓cost-diff0
(/.f64 (*.f64 a #s(literal -2 binary64)) b)
✓cost-diff1600
(/.f64 (*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b)) (*.f64 #s(literal 2 binary64) a))
✓cost-diff0
(/.f64 c b)
✓cost-diff0
(-.f64 #s(literal 0 binary64) (/.f64 c b))
✓cost-diff0
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))
✓cost-diff0
(sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))))
✓cost-diff0
(-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))) b)
✓cost-diff0
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))) b) (*.f64 #s(literal 2 binary64) a))
Rules
7 098×accelerator-lowering-fma.f32
7 098×accelerator-lowering-fma.f64
4 732×*-lowering-*.f32
4 732×*-lowering-*.f64
3 304×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033263
176261
2184261
3432261
4990261
53155261
66222261
08293246
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (- (sqrt (+ (* a (* c -4)) (+ (* b b) 0))) b) (* 2 a))
(- (sqrt (+ (* a (* c -4)) (+ (* b b) 0))) b)
(sqrt (+ (* a (* c -4)) (+ (* b b) 0)))
(+ (* a (* c -4)) (+ (* b b) 0))
a
(* c -4)
c
-4
(+ (* b b) 0)
b
0
(* 2 a)
2
(- 0 (/ c b))
0
(/ c b)
c
b
(/ (* c (/ (* a -2) b)) (* 2 a))
(* c (/ (* a -2) b))
c
(/ (* a -2) b)
(* a -2)
a
-2
b
(* 2 a)
2
(* (/ -1/2 a) (- b (sqrt (+ (* a (* c -4)) (+ (* b b) 0)))))
(/ -1/2 a)
-1/2
a
(- b (sqrt (+ (* a (* c -4)) (+ (* b b) 0))))
b
(sqrt (+ (* a (* c -4)) (+ (* b b) 0)))
(+ (* a (* c -4)) (+ (* b b) 0))
(* c -4)
c
-4
(+ (* b b) 0)
0
(/ (+ (neg b) (/ 1 (sqrt (/ 1 (+ (* a (* c -4)) (+ (* b b) 0)))))) (* 2 a))
(+ (neg b) (/ 1 (sqrt (/ 1 (+ (* a (* c -4)) (+ (* b b) 0))))))
(neg b)
b
(/ 1 (sqrt (/ 1 (+ (* a (* c -4)) (+ (* b b) 0)))))
1
(sqrt (/ 1 (+ (* a (* c -4)) (+ (* b b) 0))))
(/ 1 (+ (* a (* c -4)) (+ (* b b) 0)))
(+ (* a (* c -4)) (+ (* b b) 0))
a
(* c -4)
c
-4
(+ (* b b) 0)
0
(* 2 a)
2
Outputs
(/ (- (sqrt (+ (* a (* c -4)) (+ (* b b) 0))) b) (* 2 a))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))) b) (*.f64 a #s(literal 2 binary64)))
(- (sqrt (+ (* a (* c -4)) (+ (* b b) 0))) b)
(-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))) b)
(sqrt (+ (* a (* c -4)) (+ (* b b) 0)))
(sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))))
(+ (* a (* c -4)) (+ (* b b) 0))
(fma.f64 c (*.f64 a #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))
a
(* c -4)
(*.f64 c #s(literal -4 binary64))
c
-4
#s(literal -4 binary64)
(+ (* b b) 0)
(fma.f64 b b #s(literal 0 binary64))
b
0
#s(literal 0 binary64)
(* 2 a)
(*.f64 a #s(literal 2 binary64))
2
#s(literal 2 binary64)
(- 0 (/ c b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
0
#s(literal 0 binary64)
(/ c b)
(/.f64 c b)
c
b
(/ (* c (/ (* a -2) b)) (* 2 a))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(* c (/ (* a -2) b))
(fma.f64 #s(literal -2 binary64) (fma.f64 c (/.f64 a b) #s(literal 0 binary64)) #s(literal 0 binary64))
c
(/ (* a -2) b)
(/.f64 (fma.f64 a #s(literal -2 binary64) #s(literal 0 binary64)) b)
(* a -2)
(fma.f64 a #s(literal -2 binary64) #s(literal 0 binary64))
a
-2
#s(literal -2 binary64)
b
(* 2 a)
(*.f64 a #s(literal 2 binary64))
2
#s(literal 2 binary64)
(* (/ -1/2 a) (- b (sqrt (+ (* a (* c -4)) (+ (* b b) 0)))))
(fma.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))) b) (/.f64 #s(literal 1/2 binary64) a) #s(literal 0 binary64))
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
-1/2
#s(literal -1/2 binary64)
a
(- b (sqrt (+ (* a (* c -4)) (+ (* b b) 0))))
(-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))))
b
(sqrt (+ (* a (* c -4)) (+ (* b b) 0)))
(sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))))
(+ (* a (* c -4)) (+ (* b b) 0))
(fma.f64 c (*.f64 a #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))
(* c -4)
(*.f64 c #s(literal -4 binary64))
c
-4
#s(literal -4 binary64)
(+ (* b b) 0)
(fma.f64 b b #s(literal 0 binary64))
0
#s(literal 0 binary64)
(/ (+ (neg b) (/ 1 (sqrt (/ 1 (+ (* a (* c -4)) (+ (* b b) 0)))))) (* 2 a))
(/.f64 (fma.f64 b #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c (*.f64 a #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))))))) a)
(+ (neg b) (/ 1 (sqrt (/ 1 (+ (* a (* c -4)) (+ (* b b) 0))))))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c (*.f64 a #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))))) b)
(neg b)
(-.f64 #s(literal 0 binary64) b)
b
(/ 1 (sqrt (/ 1 (+ (* a (* c -4)) (+ (* b b) 0)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c (*.f64 a #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))))))
1
#s(literal 1 binary64)
(sqrt (/ 1 (+ (* a (* c -4)) (+ (* b b) 0))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c (*.f64 a #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))))
(/ 1 (+ (* a (* c -4)) (+ (* b b) 0)))
(/.f64 #s(literal 1 binary64) (fma.f64 c (*.f64 a #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))))
(+ (* a (* c -4)) (+ (* b b) 0))
(fma.f64 c (*.f64 a #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))
a
(* c -4)
(*.f64 c #s(literal -4 binary64))
c
-4
#s(literal -4 binary64)
(+ (* b b) 0)
(fma.f64 b b #s(literal 0 binary64))
0
#s(literal 0 binary64)
(* 2 a)
(*.f64 a #s(literal 2 binary64))
2
#s(literal 2 binary64)

localize150.0ms (1.2%)

Memory
18.7MiB live, 256.4MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy98.7%
(/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))))
✓accuracy95.7%
(/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))))))) (*.f64 #s(literal 2 binary64) a))
✓accuracy76.1%
(+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))))))
✓accuracy67.4%
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))))
✓accuracy100.0%
(*.f64 c #s(literal -4 binary64))
✓accuracy95.4%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))))))
✓accuracy76.1%
(-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))))
✓accuracy66.0%
(sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))))
✓accuracy100.0%
(*.f64 a #s(literal -2 binary64))
✓accuracy100.0%
(*.f64 #s(literal 2 binary64) a)
✓accuracy90.7%
(*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b))
✓accuracy87.8%
(/.f64 (*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b)) (*.f64 #s(literal 2 binary64) a))
✓accuracy100.0%
(/.f64 c b)
✓accuracy100.0%
(-.f64 #s(literal 0 binary64) (/.f64 c b))
✓accuracy100.0%
(*.f64 #s(literal 2 binary64) a)
✓accuracy95.7%
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))) b) (*.f64 #s(literal 2 binary64) a))
✓accuracy76.1%
(-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))) b)
✓accuracy66.0%
(sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))))
Samples
40.0ms168×0valid
24.0ms35×2valid
18.0ms45×1valid
5.0ms6×3valid
2.0ms2×4valid
Compiler

Compiled 276 to 35 computations (87.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 59.0ms
ival-div: 17.0ms (28.9% of total)
ival-mult: 13.0ms (22.1% of total)
ival-add: 11.0ms (18.7% of total)
ival-sqrt: 6.0ms (10.2% of total)
ival-sub: 5.0ms (8.5% of total)
adjust: 4.0ms (6.8% of total)
ival-neg: 2.0ms (3.4% of total)
exact: 1.0ms (1.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series135.0ms (1.1%)

Memory
-14.1MiB live, 61.4MiB allocated
Counts
20 → 588
Calls
Call 1
Inputs
#<alt (/ (- (sqrt (+ (* a (* c -4)) (+ (* b b) 0))) b) (* 2 a))>
#<alt (- (sqrt (+ (* a (* c -4)) (+ (* b b) 0))) b)>
#<alt (sqrt (+ (* a (* c -4)) (+ (* b b) 0)))>
#<alt (+ (* a (* c -4)) (+ (* b b) 0))>
#<alt (- 0 (/ c b))>
#<alt (/ c b)>
#<alt (/ (* c (/ (* a -2) b)) (* 2 a))>
#<alt (/ (* a -2) b)>
#<alt (* 2 a)>
#<alt (* c (/ (* a -2) b))>
#<alt (/ -1/2 a)>
#<alt (- b (sqrt (+ (* a (* c -4)) (+ (* b b) 0))))>
#<alt (+ (neg b) (/ 1 (sqrt (/ 1 (+ (* a (* c -4)) (+ (* b b) 0))))))>
#<alt (/ (+ (neg b) (/ 1 (sqrt (/ 1 (+ (* a (* c -4)) (+ (* b b) 0)))))) (* 2 a))>
#<alt (/ 1 (sqrt (/ 1 (+ (* a (* c -4)) (+ (* b b) 0)))))>
#<alt (sqrt (/ 1 (+ (* a (* c -4)) (+ (* b b) 0))))>
#<alt (* a -2)>
#<alt (* (/ -1/2 a) (- b (sqrt (+ (* a (* c -4)) (+ (* b b) 0)))))>
#<alt (* c -4)>
#<alt (/ 1 (+ (* a (* c -4)) (+ (* b b) 0)))>
Outputs
#<alt (* -1 (/ c b))>
#<alt (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))>
#<alt (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))>
#<alt (+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))>
#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))>
#<alt (+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))>
#<alt (* -1 (/ c b))>
#<alt (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))>
#<alt (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))>
#<alt (* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))>
#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))>
#<alt (* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))>
#<alt (* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))>
#<alt (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))>
#<alt (* -1 (/ c b))>
#<alt (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)>
#<alt (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)>
#<alt (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)>
#<alt (* -1 (/ b a))>
#<alt (* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))>
#<alt (* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))>
#<alt (* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))>
#<alt (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))>
#<alt (* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a)))>
#<alt (* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a)))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))>
#<alt (* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))>
#<alt (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))>
#<alt (* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))>
#<alt (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c)))>
#<alt (* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c)))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))>
#<alt (* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (* -2 (/ (* a c) b))>
#<alt (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)>
#<alt (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)>
#<alt (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)>
#<alt (* -2 b)>
#<alt (* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))>
#<alt (* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))>
#<alt (* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))>
#<alt b>
#<alt (+ b (* -2 (/ (* a c) b)))>
#<alt (+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))>
#<alt (+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))>
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))>
#<alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))>
#<alt b>
#<alt (+ b (* -2 (/ (* a c) b)))>
#<alt (+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))>
#<alt (+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))>
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))>
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))>
#<alt (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))>
#<alt (+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))>
#<alt b>
#<alt (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))>
#<alt (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))>
#<alt (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))>
#<alt (* -1 b)>
#<alt (* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))>
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#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt b>
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#<alt (+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))>
#<alt (+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
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#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))>
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
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#<alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))>
#<alt b>
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#<alt (+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))>
#<alt (+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))>
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))>
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
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#<alt (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))>
#<alt (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))>
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#<alt (+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))>
#<alt (+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))>
#<alt b>
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#<alt (* -1 b)>
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#<alt (* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))>
#<alt (/ 1 b)>
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#<alt (* (sqrt (/ 1 (* a c))) (sqrt -1/4))>
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#<alt (+ (* -1/2 (* (sqrt (/ c (pow a 7))) (/ (+ (* 1/1024 (/ (* a (pow b 4)) (* (pow c 3) (pow (sqrt -1/4) 2)))) (* 1/256 (/ (pow b 6) (pow c 4)))) (sqrt -1/4)))) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4)))))>
#<alt (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))>
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#<alt (+ (* -1 (/ (+ (* 1/64 (* (sqrt (/ a (pow c 5))) (* (pow b 4) (sqrt -1)))) (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1/256 (/ (* a (pow b 4)) (pow c 3))) (* 1/256 (/ (pow b 6) (pow c 4))))))) (pow a 3))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (/ 1 b)>
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#<alt (+ (* -1 (/ (+ (* 1/64 (* (sqrt (/ c (pow a 5))) (* (pow b 4) (sqrt -1)))) (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1/256 (/ (* (pow b 4) c) (pow a 3))) (* 1/256 (/ (pow b 6) (pow a 4))))))) (pow c 3))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* (sqrt (/ 1 (* a c))) (sqrt -1/4))>
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#<alt (+ (* (sqrt (/ 1 (* a c))) (sqrt -1/4)) (* (pow b 2) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (sqrt -1/4)))) (* (pow b 2) (+ (* -1/2 (* (sqrt (* a c)) (/ (* (pow b 2) (+ (* 1/32 (/ (+ (* 1/1024 (/ 1 (* (pow a 3) (* (pow c 3) (pow (sqrt -1/4) 2))))) (* 1/64 (/ 1 (* (pow a 3) (pow c 3))))) (* a (* c (pow (sqrt -1/4) 2))))) (* 1/256 (/ 1 (* (pow a 4) (pow c 4)))))) (sqrt -1/4)))) (* -1/2 (* (sqrt (* a c)) (/ (+ (* 1/1024 (/ 1 (* (pow a 3) (* (pow c 3) (pow (sqrt -1/4) 2))))) (* 1/64 (/ 1 (* (pow a 3) (pow c 3))))) (sqrt -1/4)))))))))>
#<alt (/ 1 b)>
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#<alt (/ -1 b)>
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#<alt (* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -64 (* (pow a 3) (pow c 3))) (* -2 (* a (* c (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))))))) (pow b 6))) (+ (* -1/2 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 2 (/ (* a c) (pow b 2)))))) b))>
#<alt (* -2 a)>
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#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
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#<alt (* -1 (/ c b))>
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#<alt (* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))>
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#<alt (* -4 c)>
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#<alt (/ 1 (pow b 2))>
#<alt (/ (+ 1 (* 4 (/ (* a c) (pow b 2)))) (pow b 2))>
#<alt (/ (- (+ 1 (* 16 (/ (* (pow a 2) (pow c 2)) (pow b 4)))) (* -4 (/ (* a c) (pow b 2)))) (pow b 2))>
#<alt (/ (- (+ 1 (* 64 (/ (* (pow a 3) (pow c 3)) (pow b 6)))) (+ (* -16 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -4 (/ (* a c) (pow b 2))))) (pow b 2))>
#<alt (/ 1 (pow b 2))>
#<alt (/ (+ 1 (* 4 (/ (* a c) (pow b 2)))) (pow b 2))>
#<alt (/ (- (+ 1 (* 16 (/ (* (pow a 2) (pow c 2)) (pow b 4)))) (* -4 (/ (* a c) (pow b 2)))) (pow b 2))>
#<alt (/ (- (+ 1 (* 64 (/ (* (pow a 3) (pow c 3)) (pow b 6)))) (+ (* -16 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -4 (/ (* a c) (pow b 2))))) (pow b 2))>
Calls

147 calls:

TimeVariablePointExpression
6.0ms
a
@0
(/ (* c (/ (* a -2) b)) (* 2 a))
5.0ms
c
@-inf
(* c -4)
2.0ms
b
@0
(* (/ -1/2 a) (- b (sqrt (+ (* a (* c -4)) (+ (* b b) 0)))))
1.0ms
b
@0
(sqrt (/ 1 (+ (* a (* c -4)) (+ (* b b) 0))))
1.0ms
a
@inf
(sqrt (/ 1 (+ (* a (* c -4)) (+ (* b b) 0))))

rewrite475.0ms (3.8%)

Memory
25.9MiB live, 777.9MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 744×accelerator-lowering-fma.f32
5 744×accelerator-lowering-fma.f64
5 566×/-lowering-/.f32
5 566×/-lowering-/.f64
5 190×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033178
1199177
21853175
09134164
Stop Event
1×iter limit
1×node limit
Counts
20 → 1 385
Calls
Call 1
Inputs
(/ (- (sqrt (+ (* a (* c -4)) (+ (* b b) 0))) b) (* 2 a))
(- (sqrt (+ (* a (* c -4)) (+ (* b b) 0))) b)
(sqrt (+ (* a (* c -4)) (+ (* b b) 0)))
(+ (* a (* c -4)) (+ (* b b) 0))
(- 0 (/ c b))
(/ c b)
(/ (* c (/ (* a -2) b)) (* 2 a))
(/ (* a -2) b)
(* 2 a)
(* c (/ (* a -2) b))
(/ -1/2 a)
(- b (sqrt (+ (* a (* c -4)) (+ (* b b) 0))))
(+ (neg b) (/ 1 (sqrt (/ 1 (+ (* a (* c -4)) (+ (* b b) 0))))))
(/ (+ (neg b) (/ 1 (sqrt (/ 1 (+ (* a (* c -4)) (+ (* b b) 0)))))) (* 2 a))
(/ 1 (sqrt (/ 1 (+ (* a (* c -4)) (+ (* b b) 0)))))
(sqrt (/ 1 (+ (* a (* c -4)) (+ (* b b) 0))))
(* a -2)
(* (/ -1/2 a) (- b (sqrt (+ (* a (* c -4)) (+ (* b b) 0)))))
(* c -4)
(/ 1 (+ (* a (* c -4)) (+ (* b b) 0)))
Outputs
(+.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))) (*.f64 a #s(literal 2 binary64))) (neg.f64 (/.f64 b (*.f64 a #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))) b))) #s(literal -1 binary64)))
(-.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))) b) (*.f64 a #s(literal 2 binary64))) (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))))))))
(-.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))) (*.f64 a #s(literal 2 binary64))) (/.f64 b (*.f64 a #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 a #s(literal -2 binary64))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))) b) (*.f64 a #s(literal -2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 a #s(literal 2 binary64))) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))))) (*.f64 a #s(literal 2 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))))) (fma.f64 b (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))))) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))))) (*.f64 a #s(literal 2 binary64))) (/.f64 (/.f64 (*.f64 b (fma.f64 b b #s(literal 0 binary64))) (fma.f64 b (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))))) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))))) (*.f64 a #s(literal 2 binary64))))
(-.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 0 binary64)) (-.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))))) (*.f64 a #s(literal 2 binary64))) (/.f64 (/.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))) (-.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))))) (*.f64 a #s(literal 2 binary64))))
(-.f64 (/.f64 (/.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))))) (*.f64 a #s(literal 2 binary64))) (/.f64 (/.f64 (fma.f64 b b #s(literal 0 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))))) (*.f64 a #s(literal 2 binary64))))
(-.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))) #s(literal 0 binary64)) (*.f64 a #s(literal 2 binary64))) (/.f64 b (*.f64 a #s(literal 2 binary64))))
(-.f64 (/.f64 (*.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))))) (*.f64 (*.f64 a #s(literal 2 binary64)) (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))))))) (/.f64 (*.f64 b (fma.f64 b b #s(literal 0 binary64))) (*.f64 (*.f64 a #s(literal 2 binary64)) (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))))))))
(-.f64 (/.f64 (*.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))))) (*.f64 (*.f64 a #s(literal 2 binary64)) (fma.f64 b (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))))) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))))) (/.f64 (*.f64 b (fma.f64 b b #s(literal 0 binary64))) (*.f64 (*.f64 a #s(literal 2 binary64)) (fma.f64 b (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))))) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))))))
(-.f64 (/.f64 (fma.f64 b b #s(literal 0 binary64)) (*.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))))))) (/.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))) (*.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))))))))
(-.f64 (/.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))) (*.f64 (*.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))))))) (/.f64 (fma.f64 b b #s(literal 0 binary64)) (*.f64 (*.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))))))))
(-.f64 (/.f64 (-.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))) #s(literal 0 binary64)) (*.f64 (*.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))))))) (/.f64 (fma.f64 b b #s(literal 0 binary64)) (*.f64 (*.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))))))))
(-.f64 (/.f64 (*.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))) (*.f64 a #s(literal 2 binary64))) (*.f64 (*.f64 a #s(literal 2 binary64)) (*.f64 a #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 a #s(literal 2 binary64)) b) (*.f64 (*.f64 a #s(literal 2 binary64)) (*.f64 a #s(literal 2 binary64)))))
(-.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))) (*.f64 a #s(literal 2 binary64))) (*.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))) (*.f64 a #s(literal 2 binary64))) (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))) (*.f64 a #s(literal 2 binary64))))) (fma.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))) (*.f64 a #s(literal 2 binary64))) (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))) (*.f64 a #s(literal 2 binary64))) (fma.f64 (/.f64 b (*.f64 a #s(literal 2 binary64))) (/.f64 b (*.f64 a #s(literal 2 binary64))) (*.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))) (*.f64 a #s(literal 2 binary64))) (/.f64 b (*.f64 a #s(literal 2 binary64))))))) (/.f64 (*.f64 (/.f64 b (*.f64 a #s(literal 2 binary64))) (*.f64 (/.f64 b (*.f64 a #s(literal 2 binary64))) (/.f64 b (*.f64 a #s(literal 2 binary64))))) (fma.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))) (*.f64 a #s(literal 2 binary64))) (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))) (*.f64 a #s(literal 2 binary64))) (fma.f64 (/.f64 b (*.f64 a #s(literal 2 binary64))) (/.f64 b (*.f64 a #s(literal 2 binary64))) (*.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))) (*.f64 a #s(literal 2 binary64))) (/.f64 b (*.f64 a #s(literal 2 binary64))))))))
(-.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))) (*.f64 a #s(literal 2 binary64))) (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))) (*.f64 a #s(literal 2 binary64)))) (fma.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))) (/.f64 #s(literal 1/2 binary64) a) (/.f64 b (*.f64 a #s(literal 2 binary64))))) (/.f64 (*.f64 (/.f64 b (*.f64 a #s(literal 2 binary64))) (/.f64 b (*.f64 a #s(literal 2 binary64)))) (fma.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))) (/.f64 #s(literal 1/2 binary64) a) (/.f64 b (*.f64 a #s(literal 2 binary64))))))
(fma.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))) (/.f64 #s(literal 1/2 binary64) a) (neg.f64 (/.f64 b (*.f64 a #s(literal 2 binary64)))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) a)) (neg.f64 (/.f64 b (*.f64 a #s(literal 2 binary64)))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))))) a) (neg.f64 (/.f64 b (*.f64 a #s(literal 2 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))) (*.f64 a #s(literal 2 binary64))) (neg.f64 (/.f64 b (*.f64 a #s(literal 2 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))))) (*.f64 a #s(literal -2 binary64))) (neg.f64 (/.f64 b (*.f64 a #s(literal 2 binary64)))))
(fma.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))) (*.f64 a #s(literal -2 binary64))) (neg.f64 (/.f64 b (*.f64 a #s(literal 2 binary64)))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))) a) (neg.f64 (/.f64 b (*.f64 a #s(literal 2 binary64)))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))))) (-.f64 #s(literal 0 binary64) a)) (neg.f64 (/.f64 b (*.f64 a #s(literal 2 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))) #s(literal 2 binary64)) (neg.f64 (/.f64 b (*.f64 a #s(literal 2 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))))) #s(literal -2 binary64)) (neg.f64 (/.f64 b (*.f64 a #s(literal 2 binary64)))))
(fma.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) a) (neg.f64 (/.f64 b (*.f64 a #s(literal 2 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) a)) (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))) #s(literal -2 binary64)) (neg.f64 (/.f64 b (*.f64 a #s(literal 2 binary64)))))
(fma.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))) a) #s(literal 1/2 binary64) (neg.f64 (/.f64 b (*.f64 a #s(literal 2 binary64)))))
(fma.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) a)) (neg.f64 (/.f64 b (*.f64 a #s(literal 2 binary64)))))
(fma.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) a) (neg.f64 (/.f64 b (*.f64 a #s(literal 2 binary64)))))
(fma.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) a)) #s(literal -1/2 binary64) (neg.f64 (/.f64 b (*.f64 a #s(literal 2 binary64)))))
(fma.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))) #s(literal -2 binary64)) (neg.f64 (/.f64 b (*.f64 a #s(literal 2 binary64)))))
(fma.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))))) #s(literal 2 binary64)) (neg.f64 (/.f64 b (*.f64 a #s(literal 2 binary64)))))
(fma.f64 (/.f64 (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))) #s(literal 1/4 binary64)) a) (/.f64 (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (neg.f64 (/.f64 b (*.f64 a #s(literal 2 binary64)))))
(fma.f64 (/.f64 (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))) #s(literal 1/4 binary64)) a) (neg.f64 (/.f64 b (*.f64 a #s(literal 2 binary64)))))
(fma.f64 (/.f64 (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))) #s(literal 1/4 binary64)) #s(literal -2 binary64)) (/.f64 (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))) #s(literal 1/4 binary64)) (-.f64 #s(literal 0 binary64) a)) (neg.f64 (/.f64 b (*.f64 a #s(literal 2 binary64)))))
(fma.f64 (/.f64 (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))) #s(literal 1/4 binary64)) (-.f64 #s(literal 0 binary64) a)) (/.f64 (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))) #s(literal 1/4 binary64)) #s(literal -2 binary64)) (neg.f64 (/.f64 b (*.f64 a #s(literal 2 binary64)))))
(fma.f64 (/.f64 (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))) #s(literal 1/4 binary64)) (*.f64 a #s(literal -2 binary64))) (neg.f64 (/.f64 b (*.f64 a #s(literal 2 binary64)))))
(neg.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))) b) (*.f64 a #s(literal -2 binary64))))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))) b) (*.f64 a #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))) b)))
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(/.f64 (neg.f64 (*.f64 (-.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))) #s(literal 1/2 binary64))) (neg.f64 (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))))) (-.f64 #s(literal 0 binary64) a))))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))))))) (neg.f64 (-.f64 #s(literal 0 binary64) a)))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 (*.f64 b (fma.f64 b b #s(literal 0 binary64))) (*.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))))))) (neg.f64 (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))))))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))))) (neg.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))))))
(/.f64 (neg.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))))) #s(literal 1 binary64))) (*.f64 a #s(literal 2 binary64)))
(/.f64 (neg.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))))) #s(literal 1/2 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) a)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))))))) (*.f64 a #s(literal 2 binary64)))
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))))))) (neg.f64 (-.f64 #s(literal 0 binary64) a)))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 b (fma.f64 b b #s(literal 0 binary64))) (*.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))))) (/.f64 #s(literal -1/2 binary64) a))) (neg.f64 (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))) (/.f64 #s(literal -1/2 binary64) a))) (neg.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))))))
(pow.f64 (/.f64 a (*.f64 #s(literal -1/2 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))))))) #s(literal -1 binary64))
(*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))))))
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))))) a))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))))))
(*.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))))) (/.f64 #s(literal -1/2 binary64) a))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))))) (*.f64 a #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))))) (-.f64 #s(literal 0 binary64) a)))
(*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))))) #s(literal -2 binary64)))
(*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))))) (/.f64 #s(literal 1 binary64) a))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) a)) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))))) #s(literal 2 binary64)))
(*.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))))) a) #s(literal -1/2 binary64))
(*.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) a)))
(*.f64 (/.f64 (-.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))) a) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))))) #s(literal -2 binary64)))
(*.f64 (/.f64 (-.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))))) (-.f64 #s(literal 0 binary64) a)))
(*.f64 (/.f64 (-.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))) #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))))) a))
(*.f64 (/.f64 (-.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))))) (*.f64 a #s(literal 2 binary64))))
(*.f64 (/.f64 (-.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) a)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))))) #s(literal 2 binary64)))
(*.f64 (/.f64 (-.f64 (*.f64 b (fma.f64 b b #s(literal 0 binary64))) (*.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))))) a) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))))) #s(literal -2 binary64)))
(*.f64 (/.f64 (-.f64 (*.f64 b (fma.f64 b b #s(literal 0 binary64))) (*.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))))) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))))) (-.f64 #s(literal 0 binary64) a)))
(*.f64 (/.f64 (-.f64 (*.f64 b (fma.f64 b b #s(literal 0 binary64))) (*.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))))) #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))))) a))
(*.f64 (/.f64 (-.f64 (*.f64 b (fma.f64 b b #s(literal 0 binary64))) (*.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))))) (*.f64 a #s(literal 2 binary64))))
(*.f64 (/.f64 (-.f64 (*.f64 b (fma.f64 b b #s(literal 0 binary64))) (*.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))))) (-.f64 #s(literal 0 binary64) a)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))))) #s(literal 2 binary64)))
(*.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))))) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) a))
(*.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) a))
(*.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))))) (-.f64 #s(literal 0 binary64) a)) #s(literal 1/2 binary64))
(*.f64 c #s(literal -4 binary64))
(*.f64 #s(literal -4 binary64) c)
(exp.f64 (-.f64 #s(literal 0 binary64) (log.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))))))
(sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))))))
(neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))))
(/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))))))
(pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))) #s(literal -1 binary64))
(pow.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))) #s(literal -2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))))) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))))) #s(literal 2 binary64))
(pow.f64 (*.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))) #s(literal -1/2 binary64))
(pow.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 c (*.f64 c c)) #s(literal -64 binary64)) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (-.f64 (fma.f64 b b #s(literal 0 binary64)) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 c (*.f64 c c)) #s(literal -64 binary64)) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (-.f64 (fma.f64 b b #s(literal 0 binary64)) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64) (neg.f64 (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64))))) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (fma.f64 b b #s(literal 0 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64) (neg.f64 (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64))))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (fma.f64 b b #s(literal 0 binary64)))) #s(literal -1 binary64)))

simplify577.0ms (4.6%)

Memory
20.2MiB live, 736.8MiB allocated
Algorithm
1×egg-herbie
Rules
9 268×accelerator-lowering-fma.f32
9 268×accelerator-lowering-fma.f64
8 380×*-lowering-*.f32
8 380×*-lowering-*.f64
4 924×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0102111074
1330510907
0864110455
Stop Event
1×iter limit
1×node limit
Counts
588 → 588
Calls
Call 1
Inputs
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))
(* -1 (/ c b))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(* -2 (/ (* a c) b))
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -2 (/ (* a c) b))
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c)))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* (sqrt (* a c)) (sqrt -4))
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(* -2 (/ (* a c) b))
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
(* -2 b)
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
(* (sqrt (* a c)) (sqrt -4))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))
b
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 b)
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* -4 (* a c))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* -4 (* a c))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* -4 (* a c))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* -4 (* a c))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* -4 (* a c))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(pow b 2)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(pow b 2)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -2 (/ a b))
(* -2 (/ a b))
(* -2 (/ a b))
(* -2 (/ a b))
(* -2 (/ a b))
(* -2 (/ a b))
(* -2 (/ a b))
(* -2 (/ a b))
(* -2 (/ a b))
(* -2 (/ a b))
(* -2 (/ a b))
(* -2 (/ a b))
(* -2 (/ a b))
(* -2 (/ a b))
(* -2 (/ a b))
(* -2 (/ a b))
(* -2 (/ a b))
(* -2 (/ a b))
(* -2 (/ a b))
(* -2 (/ a b))
(* -2 (/ a b))
(* -2 (/ a b))
(* -2 (/ a b))
(* -2 (/ a b))
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(- b (* (sqrt (* a c)) (sqrt -4)))
(- (* b (+ 1 (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4)))
(- (* b (+ 1 (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))) (* (sqrt (* a c)) (sqrt -4)))
(* 2 (/ (* a c) b))
(/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) b)
(/ (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (- (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b)
(* 2 b)
(* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 2)))
(* -1 (* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2)))))))
(* -1 (* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* 2 (/ (* a c) b))
(* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b))))
(* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b))))
(* a (- (* a (- (* a (- (* 1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)) (* -4 (/ (pow c 3) (pow b 5))))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b))))
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(* a (- (/ b a) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ b a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* 2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (- (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (- (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (- (* -1 (/ (+ b (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* 2 (/ (* a c) b))
(* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b))))
(* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b))))
(* c (- (* c (- (* c (- (* 1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)) (* -4 (/ (pow a 3) (pow b 5))))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b))))
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(* c (- (/ b c) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ b c)) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* 2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (- (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (- (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (- (* -1 (/ (+ b (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* (sqrt (* a c)) (sqrt -4))
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(* -2 (/ (* a c) b))
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
(* -2 b)
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -2 (/ (* a c) b))
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -2 (/ (* a c) b))
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c)))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))
(* -1 (/ c b))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
(* (sqrt (* a c)) (sqrt -4))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))
b
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 b)
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(/ 1 b)
(+ (* 2 (/ (* a c) (pow b 3))) (/ 1 b))
(+ (* a (+ (* -1/2 (* a (* b (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6))))))) (* 2 (/ c (pow b 3))))) (/ 1 b))
(+ (* a (+ (* 2 (/ c (pow b 3))) (* a (+ (* -1/2 (* a (* b (+ (* -64 (/ (pow c 3) (pow b 8))) (* -2 (/ (* c (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6))))) (pow b 2))))))) (* -1/2 (* b (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6)))))))))) (/ 1 b))
(* (sqrt (/ 1 (* a c))) (sqrt -1/4))
(+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4)))
(+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4))))
(+ (* -1/2 (* (sqrt (/ c (pow a 7))) (/ (+ (* 1/1024 (/ (* a (pow b 4)) (* (pow c 3) (pow (sqrt -1/4) 2)))) (* 1/256 (/ (pow b 6) (pow c 4)))) (sqrt -1/4)))) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4)))))
(* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))
(+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(+ (* -1 (/ (+ (* 1/64 (* (sqrt (/ a (pow c 5))) (* (pow b 4) (sqrt -1)))) (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1/256 (/ (* a (pow b 4)) (pow c 3))) (* 1/256 (/ (pow b 6) (pow c 4))))))) (pow a 3))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(/ 1 b)
(+ (* 2 (/ (* a c) (pow b 3))) (/ 1 b))
(+ (* c (+ (* -1/2 (* b (* c (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6))))))) (* 2 (/ a (pow b 3))))) (/ 1 b))
(+ (* c (+ (* 2 (/ a (pow b 3))) (* c (+ (* -1/2 (* b (* c (+ (* -64 (/ (pow a 3) (pow b 8))) (* -2 (/ (* a (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6))))) (pow b 2))))))) (* -1/2 (* b (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6)))))))))) (/ 1 b))
(* (sqrt (/ 1 (* a c))) (sqrt -1/4))
(+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4)))
(+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4))))
(+ (* -1/2 (* (sqrt (/ a (pow c 7))) (/ (+ (* 1/1024 (/ (* (pow b 4) c) (* (pow a 3) (pow (sqrt -1/4) 2)))) (* 1/256 (/ (pow b 6) (pow a 4)))) (sqrt -1/4)))) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4)))))
(* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))
(+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(+ (* -1 (/ (+ (* 1/64 (* (sqrt (/ c (pow a 5))) (* (pow b 4) (sqrt -1)))) (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1/256 (/ (* (pow b 4) c) (pow a 3))) (* 1/256 (/ (pow b 6) (pow a 4))))))) (pow c 3))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* (sqrt (/ 1 (* a c))) (sqrt -1/4))
(+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4)))
(+ (* (sqrt (/ 1 (* a c))) (sqrt -1/4)) (* (pow b 2) (+ (* -1/2 (* (sqrt (* a c)) (/ (* (pow b 2) (+ (* 1/1024 (/ 1 (* (pow a 3) (* (pow c 3) (pow (sqrt -1/4) 2))))) (* 1/64 (/ 1 (* (pow a 3) (pow c 3)))))) (sqrt -1/4)))) (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (sqrt -1/4)))))))
(+ (* (sqrt (/ 1 (* a c))) (sqrt -1/4)) (* (pow b 2) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (sqrt -1/4)))) (* (pow b 2) (+ (* -1/2 (* (sqrt (* a c)) (/ (* (pow b 2) (+ (* 1/32 (/ (+ (* 1/1024 (/ 1 (* (pow a 3) (* (pow c 3) (pow (sqrt -1/4) 2))))) (* 1/64 (/ 1 (* (pow a 3) (pow c 3))))) (* a (* c (pow (sqrt -1/4) 2))))) (* 1/256 (/ 1 (* (pow a 4) (pow c 4)))))) (sqrt -1/4)))) (* -1/2 (* (sqrt (* a c)) (/ (+ (* 1/1024 (/ 1 (* (pow a 3) (* (pow c 3) (pow (sqrt -1/4) 2))))) (* 1/64 (/ 1 (* (pow a 3) (pow c 3))))) (sqrt -1/4)))))))))
(/ 1 b)
(/ (+ 1 (* 2 (/ (* a c) (pow b 2)))) b)
(/ (+ 1 (+ (* -1/2 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 2 (/ (* a c) (pow b 2))))) b)
(/ (+ 1 (+ (* -1/2 (/ (+ (* -64 (* (pow a 3) (pow c 3))) (* -2 (* a (* c (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))))))) (pow b 6))) (+ (* -1/2 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 2 (/ (* a c) (pow b 2)))))) b)
(/ -1 b)
(* -1 (/ (+ 1 (* 2 (/ (* a c) (pow b 2)))) b))
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 2 (/ (* a c) (pow b 2))))) b))
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -64 (* (pow a 3) (pow c 3))) (* -2 (* a (* c (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))))))) (pow b 6))) (+ (* -1/2 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 2 (/ (* a c) (pow b 2)))))) b))
(* -2 a)
(* -2 a)
(* -2 a)
(* -2 a)
(* -2 a)
(* -2 a)
(* -2 a)
(* -2 a)
(* -2 a)
(* -2 a)
(* -2 a)
(* -2 a)
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))
(* -1 (/ c b))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -4 c)
(* -4 c)
(* -4 c)
(* -4 c)
(* -4 c)
(* -4 c)
(* -4 c)
(* -4 c)
(* -4 c)
(* -4 c)
(* -4 c)
(* -4 c)
(/ 1 (pow b 2))
(+ (* 4 (/ (* a c) (pow b 4))) (/ 1 (pow b 2)))
(+ (* a (- (* 16 (/ (* a (pow c 2)) (pow b 6))) (* -4 (/ c (pow b 4))))) (/ 1 (pow b 2)))
(+ (* a (- (* a (- (* 64 (/ (* a (pow c 3)) (pow b 8))) (* -16 (/ (pow c 2) (pow b 6))))) (* -4 (/ c (pow b 4))))) (/ 1 (pow b 2)))
(/ -1/4 (* a c))
(/ (- (* -1/16 (/ (pow b 2) (* a (pow c 2)))) (* 1/4 (/ 1 c))) a)
(/ (- (* -1/64 (/ (pow b 4) (* (pow a 2) (pow c 3)))) (+ (* 1/16 (/ (pow b 2) (* a (pow c 2)))) (* 1/4 (/ 1 c)))) a)
(/ (- (* -1/256 (/ (pow b 6) (* (pow a 3) (pow c 4)))) (+ (* 1/64 (/ (pow b 4) (* (pow a 2) (pow c 3)))) (+ (* 1/16 (/ (pow b 2) (* a (pow c 2)))) (* 1/4 (/ 1 c))))) a)
(/ -1/4 (* a c))
(* -1 (/ (+ (* 1/16 (/ (pow b 2) (* a (pow c 2)))) (* 1/4 (/ 1 c))) a))
(* -1 (/ (+ (* -1 (/ (- (* -1/64 (/ (pow b 4) (* a (pow c 3)))) (* 1/16 (/ (pow b 2) (pow c 2)))) a)) (* 1/4 (/ 1 c))) a))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/256 (/ (pow b 6) (* a (pow c 4)))) (* -1/64 (/ (pow b 4) (pow c 3)))) a)) (* 1/16 (/ (pow b 2) (pow c 2)))) a)) (* 1/4 (/ 1 c))) a))
(/ 1 (pow b 2))
(+ (* 4 (/ (* a c) (pow b 4))) (/ 1 (pow b 2)))
(+ (* c (- (* 16 (/ (* (pow a 2) c) (pow b 6))) (* -4 (/ a (pow b 4))))) (/ 1 (pow b 2)))
(+ (* c (- (* c (- (* 64 (/ (* (pow a 3) c) (pow b 8))) (* -16 (/ (pow a 2) (pow b 6))))) (* -4 (/ a (pow b 4))))) (/ 1 (pow b 2)))
(/ -1/4 (* a c))
(/ (- (* -1/16 (/ (pow b 2) (* (pow a 2) c))) (* 1/4 (/ 1 a))) c)
(/ (- (* -1/64 (/ (pow b 4) (* (pow a 3) (pow c 2)))) (+ (* 1/16 (/ (pow b 2) (* (pow a 2) c))) (* 1/4 (/ 1 a)))) c)
(/ (- (* -1/256 (/ (pow b 6) (* (pow a 4) (pow c 3)))) (+ (* 1/64 (/ (pow b 4) (* (pow a 3) (pow c 2)))) (+ (* 1/16 (/ (pow b 2) (* (pow a 2) c))) (* 1/4 (/ 1 a))))) c)
(/ -1/4 (* a c))
(* -1 (/ (+ (* 1/16 (/ (pow b 2) (* (pow a 2) c))) (* 1/4 (/ 1 a))) c))
(* -1 (/ (+ (* -1 (/ (- (* -1/64 (/ (pow b 4) (* (pow a 3) c))) (* 1/16 (/ (pow b 2) (pow a 2)))) c)) (* 1/4 (/ 1 a))) c))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/256 (/ (pow b 6) (* (pow a 4) c))) (* -1/64 (/ (pow b 4) (pow a 3)))) c)) (* 1/16 (/ (pow b 2) (pow a 2)))) c)) (* 1/4 (/ 1 a))) c))
(/ -1/4 (* a c))
(- (* -1/16 (/ (pow b 2) (* (pow a 2) (pow c 2)))) (* 1/4 (/ 1 (* a c))))
(- (* (pow b 2) (- (* -1/64 (/ (pow b 2) (* (pow a 3) (pow c 3)))) (* 1/16 (/ 1 (* (pow a 2) (pow c 2)))))) (* 1/4 (/ 1 (* a c))))
(- (* (pow b 2) (- (* (pow b 2) (- (* -1/256 (/ (pow b 2) (* (pow a 4) (pow c 4)))) (* 1/64 (/ 1 (* (pow a 3) (pow c 3)))))) (* 1/16 (/ 1 (* (pow a 2) (pow c 2)))))) (* 1/4 (/ 1 (* a c))))
(/ 1 (pow b 2))
(/ (+ 1 (* 4 (/ (* a c) (pow b 2)))) (pow b 2))
(/ (- (+ 1 (* 16 (/ (* (pow a 2) (pow c 2)) (pow b 4)))) (* -4 (/ (* a c) (pow b 2)))) (pow b 2))
(/ (- (+ 1 (* 64 (/ (* (pow a 3) (pow c 3)) (pow b 6)))) (+ (* -16 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -4 (/ (* a c) (pow b 2))))) (pow b 2))
(/ 1 (pow b 2))
(/ (+ 1 (* 4 (/ (* a c) (pow b 2)))) (pow b 2))
(/ (- (+ 1 (* 16 (/ (* (pow a 2) (pow c 2)) (pow b 4)))) (* -4 (/ (* a c) (pow b 2)))) (pow b 2))
(/ (- (+ 1 (* 64 (/ (* (pow a 3) (pow c 3)) (pow b 6)))) (+ (* -16 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -4 (/ (* a c) (pow b 2))))) (pow b 2))
Outputs
(* -1 (/ c b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(neg.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))) (/.f64 c b)))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(fma.f64 a (fma.f64 (*.f64 a #s(literal -2 binary64)) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) c) c) (*.f64 b (*.f64 b b)))) (-.f64 #s(literal 0 binary64) (/.f64 c b)))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(-.f64 (*.f64 a (fma.f64 a (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 a (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64))) b) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) c) c) (*.f64 b (*.f64 b b))))) (/.f64 c b))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 c a)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 c a))))
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 a a)) a))) (*.f64 b b)) (sqrt.f64 #s(literal -4 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 c a)))))
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(fma.f64 (*.f64 #s(literal -1/16 binary64) (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 -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 a a)) a))) (*.f64 b b)) (sqrt.f64 #s(literal -4 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 c a))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b a)) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(neg.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 b #s(literal 1/2 binary64))) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(neg.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 (fma.f64 #s(literal 1/128 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))))) a)) a)))
(* -1 (/ c b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(*.f64 c (fma.f64 (neg.f64 a) (/.f64 c (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1 binary64) b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(*.f64 c (fma.f64 c (fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 (neg.f64 a) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1 binary64) b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(*.f64 c (fma.f64 c (-.f64 (*.f64 c (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 c (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64))) (*.f64 b a)) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))))) (/.f64 a (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1 binary64) b)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 c a)))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(*.f64 c (fma.f64 #s(literal -1/2 binary64) (/.f64 b (*.f64 c a)) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(*.f64 c (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 a a))))) (/.f64 (*.f64 #s(literal -1/2 binary64) b) (*.f64 c a)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(*.f64 c (fma.f64 #s(literal -1/2 binary64) (/.f64 b (*.f64 c a)) (fma.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 5 binary64))))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 a a))))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(*.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (/.f64 (*.f64 b #s(literal 1/2 binary64)) (*.f64 c a))) (-.f64 #s(literal 0 binary64) c))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(*.f64 (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 a a)) a))) (*.f64 #s(literal -1/2 binary64) (/.f64 b a))) c)) (-.f64 #s(literal 0 binary64) c))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(-.f64 #s(literal 0 binary64) (*.f64 c (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b a)) (/.f64 (fma.f64 #s(literal -1/128 binary64) (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (pow.f64 a #s(literal 5 binary64)))))) (*.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))))) c)) c))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 c a)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 c a))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(fma.f64 b (fma.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 b (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 a a)) a))) (/.f64 #s(literal -1/2 binary64) a)) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 c a))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))
(fma.f64 b (fma.f64 b (fma.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (pow.f64 a #s(literal 5 binary64))))) (*.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 a a)) a))) (sqrt.f64 #s(literal -4 binary64))))) (/.f64 #s(literal -1/2 binary64) a)) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 c a))))
(* -1 (/ c b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/.f64 (neg.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c)) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 c (*.f64 c c))) a) (pow.f64 b #s(literal 4 binary64))) (neg.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 c (*.f64 c c))) a) (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) #s(literal 20 binary64)) (*.f64 a (pow.f64 b #s(literal 6 binary64)))) (neg.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c)))) b)
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(-.f64 #s(literal 0 binary64) (*.f64 b (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b)))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
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(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
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(*.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (/.f64 (*.f64 b #s(literal 1/2 binary64)) (*.f64 c a))) (-.f64 #s(literal 0 binary64) c))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(*.f64 (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 a a)) a))) (*.f64 #s(literal -1/2 binary64) (/.f64 b a))) c)) (-.f64 #s(literal 0 binary64) c))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(-.f64 #s(literal 0 binary64) (*.f64 c (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b a)) (/.f64 (fma.f64 #s(literal -1/128 binary64) (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (pow.f64 a #s(literal 5 binary64)))))) (*.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))))) c)) c))))
(* -4 c)
(*.f64 c #s(literal -4 binary64))
(* -4 c)
(*.f64 c #s(literal -4 binary64))
(* -4 c)
(*.f64 c #s(literal -4 binary64))
(* -4 c)
(*.f64 c #s(literal -4 binary64))
(* -4 c)
(*.f64 c #s(literal -4 binary64))
(* -4 c)
(*.f64 c #s(literal -4 binary64))
(* -4 c)
(*.f64 c #s(literal -4 binary64))
(* -4 c)
(*.f64 c #s(literal -4 binary64))
(* -4 c)
(*.f64 c #s(literal -4 binary64))
(* -4 c)
(*.f64 c #s(literal -4 binary64))
(* -4 c)
(*.f64 c #s(literal -4 binary64))
(* -4 c)
(*.f64 c #s(literal -4 binary64))
(/ 1 (pow b 2))
(/.f64 #s(literal 1 binary64) (*.f64 b b))
(+ (* 4 (/ (* a c) (pow b 4))) (/ 1 (pow b 2)))
(fma.f64 #s(literal 4 binary64) (/.f64 (*.f64 c a) (pow.f64 b #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 b b)))
(+ (* a (- (* 16 (/ (* a (pow c 2)) (pow b 6))) (* -4 (/ c (pow b 4))))) (/ 1 (pow b 2)))
(fma.f64 a (fma.f64 #s(literal 16 binary64) (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 4 binary64) (/.f64 c (pow.f64 b #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 b b)))
(+ (* a (- (* a (- (* 64 (/ (* a (pow c 3)) (pow b 8))) (* -16 (/ (pow c 2) (pow b 6))))) (* -4 (/ c (pow b 4))))) (/ 1 (pow b 2)))
(fma.f64 a (fma.f64 a (fma.f64 #s(literal 64 binary64) (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 8 binary64))) (*.f64 #s(literal 16 binary64) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 6 binary64))))) (*.f64 #s(literal 4 binary64) (/.f64 c (pow.f64 b #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 b b)))
(/ -1/4 (* a c))
(/.f64 #s(literal -1/4 binary64) (*.f64 c a))
(/ (- (* -1/16 (/ (pow b 2) (* a (pow c 2)))) (* 1/4 (/ 1 c))) a)
(/.f64 (fma.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 b b) (*.f64 a (*.f64 c c))) (/.f64 #s(literal -1/4 binary64) c)) a)
(/ (- (* -1/64 (/ (pow b 4) (* (pow a 2) (pow c 3)))) (+ (* 1/16 (/ (pow b 2) (* a (pow c 2)))) (* 1/4 (/ 1 c)))) a)
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/64 binary64) (pow.f64 b #s(literal 4 binary64))) (*.f64 (*.f64 a (*.f64 c (*.f64 c c))) a)) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 b b) (*.f64 a (*.f64 c c))) (/.f64 #s(literal 1/4 binary64) c))) a)
(/ (- (* -1/256 (/ (pow b 6) (* (pow a 3) (pow c 4)))) (+ (* 1/64 (/ (pow b 4) (* (pow a 2) (pow c 3)))) (+ (* 1/16 (/ (pow b 2) (* a (pow c 2)))) (* 1/4 (/ 1 c))))) a)
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/256 binary64) (pow.f64 b #s(literal 6 binary64))) (*.f64 (pow.f64 c #s(literal 4 binary64)) (*.f64 a (*.f64 a a)))) (fma.f64 #s(literal 1/64 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 a (*.f64 c (*.f64 c c))) a)) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 b b) (*.f64 a (*.f64 c c))) (/.f64 #s(literal 1/4 binary64) c)))) a)
(/ -1/4 (* a c))
(/.f64 #s(literal -1/4 binary64) (*.f64 c a))
(* -1 (/ (+ (* 1/16 (/ (pow b 2) (* a (pow c 2)))) (* 1/4 (/ 1 c))) a))
(/.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 b b) (*.f64 a (*.f64 c c))) (/.f64 #s(literal 1/4 binary64) c)) (neg.f64 a))
(* -1 (/ (+ (* -1 (/ (- (* -1/64 (/ (pow b 4) (* a (pow c 3)))) (* 1/16 (/ (pow b 2) (pow c 2)))) a)) (* 1/4 (/ 1 c))) a))
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) c) (/.f64 (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 a (*.f64 c (*.f64 c c)))) (*.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 b b) (*.f64 c c)))) a)) (neg.f64 a))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/256 (/ (pow b 6) (* a (pow c 4)))) (* -1/64 (/ (pow b 4) (pow c 3)))) a)) (* 1/16 (/ (pow b 2) (pow c 2)))) a)) (* 1/4 (/ 1 c))) a))
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) c) (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/256 binary64) (/.f64 (pow.f64 b #s(literal 6 binary64)) (*.f64 a (pow.f64 c #s(literal 4 binary64)))) (*.f64 #s(literal 1/64 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 c (*.f64 c c))))) (neg.f64 a)) (*.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 b b) (*.f64 c c)))) a)) (neg.f64 a))
(/ 1 (pow b 2))
(/.f64 #s(literal 1 binary64) (*.f64 b b))
(+ (* 4 (/ (* a c) (pow b 4))) (/ 1 (pow b 2)))
(fma.f64 #s(literal 4 binary64) (/.f64 (*.f64 c a) (pow.f64 b #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 b b)))
(+ (* c (- (* 16 (/ (* (pow a 2) c) (pow b 6))) (* -4 (/ a (pow b 4))))) (/ 1 (pow b 2)))
(fma.f64 c (fma.f64 #s(literal 16 binary64) (/.f64 (*.f64 c (*.f64 a a)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 4 binary64) (/.f64 a (pow.f64 b #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 b b)))
(+ (* c (- (* c (- (* 64 (/ (* (pow a 3) c) (pow b 8))) (* -16 (/ (pow a 2) (pow b 6))))) (* -4 (/ a (pow b 4))))) (/ 1 (pow b 2)))
(fma.f64 c (fma.f64 c (fma.f64 #s(literal 64 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 a a)) a) (pow.f64 b #s(literal 8 binary64))) (*.f64 #s(literal 16 binary64) (/.f64 (*.f64 a a) (pow.f64 b #s(literal 6 binary64))))) (*.f64 #s(literal 4 binary64) (/.f64 a (pow.f64 b #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 b b)))
(/ -1/4 (* a c))
(/.f64 #s(literal -1/4 binary64) (*.f64 c a))
(/ (- (* -1/16 (/ (pow b 2) (* (pow a 2) c))) (* 1/4 (/ 1 a))) c)
(/.f64 (fma.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 b b) (*.f64 c (*.f64 a a))) (/.f64 #s(literal -1/4 binary64) a)) c)
(/ (- (* -1/64 (/ (pow b 4) (* (pow a 3) (pow c 2)))) (+ (* 1/16 (/ (pow b 2) (* (pow a 2) c))) (* 1/4 (/ 1 a)))) c)
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/64 binary64) (pow.f64 b #s(literal 4 binary64))) (*.f64 (*.f64 (*.f64 c (*.f64 a a)) a) c)) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 b b) (*.f64 c (*.f64 a a))) (/.f64 #s(literal 1/4 binary64) a))) c)
(/ (- (* -1/256 (/ (pow b 6) (* (pow a 4) (pow c 3)))) (+ (* 1/64 (/ (pow b 4) (* (pow a 3) (pow c 2)))) (+ (* 1/16 (/ (pow b 2) (* (pow a 2) c))) (* 1/4 (/ 1 a))))) c)
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/256 binary64) (pow.f64 b #s(literal 6 binary64))) (*.f64 (*.f64 c (*.f64 c c)) (pow.f64 a #s(literal 4 binary64)))) (fma.f64 #s(literal 1/64 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 c (*.f64 a a)) a) c)) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 b b) (*.f64 c (*.f64 a a))) (/.f64 #s(literal 1/4 binary64) a)))) c)
(/ -1/4 (* a c))
(/.f64 #s(literal -1/4 binary64) (*.f64 c a))
(* -1 (/ (+ (* 1/16 (/ (pow b 2) (* (pow a 2) c))) (* 1/4 (/ 1 a))) c))
(/.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 b b) (*.f64 c (*.f64 a a))) (/.f64 #s(literal 1/4 binary64) a)) (-.f64 #s(literal 0 binary64) c))
(* -1 (/ (+ (* -1 (/ (- (* -1/64 (/ (pow b 4) (* (pow a 3) c))) (* 1/16 (/ (pow b 2) (pow a 2)))) c)) (* 1/4 (/ 1 a))) c))
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) a) (/.f64 (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 c (*.f64 a a)) a)) (*.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 b b) (*.f64 a a)))) c)) (-.f64 #s(literal 0 binary64) c))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/256 (/ (pow b 6) (* (pow a 4) c))) (* -1/64 (/ (pow b 4) (pow a 3)))) c)) (* 1/16 (/ (pow b 2) (pow a 2)))) c)) (* 1/4 (/ 1 a))) c))
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) a) (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/256 binary64) (/.f64 (pow.f64 b #s(literal 6 binary64)) (*.f64 c (pow.f64 a #s(literal 4 binary64)))) (*.f64 #s(literal 1/64 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 a (*.f64 a a))))) (-.f64 #s(literal 0 binary64) c)) (*.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 b b) (*.f64 a a)))) c)) (-.f64 #s(literal 0 binary64) c))
(/ -1/4 (* a c))
(/.f64 #s(literal -1/4 binary64) (*.f64 c a))
(- (* -1/16 (/ (pow b 2) (* (pow a 2) (pow c 2)))) (* 1/4 (/ 1 (* a c))))
(fma.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 b b) (*.f64 (*.f64 c (*.f64 a a)) c)) (/.f64 #s(literal -1/4 binary64) (*.f64 c a)))
(- (* (pow b 2) (- (* -1/64 (/ (pow b 2) (* (pow a 3) (pow c 3)))) (* 1/16 (/ 1 (* (pow a 2) (pow c 2)))))) (* 1/4 (/ 1 (* a c))))
(fma.f64 (*.f64 b b) (fma.f64 #s(literal -1/64 binary64) (/.f64 (*.f64 b b) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 a a)))) (/.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 c (*.f64 a a)) c))) (/.f64 #s(literal -1/4 binary64) (*.f64 c a)))
(- (* (pow b 2) (- (* (pow b 2) (- (* -1/256 (/ (pow b 2) (* (pow a 4) (pow c 4)))) (* 1/64 (/ 1 (* (pow a 3) (pow c 3)))))) (* 1/16 (/ 1 (* (pow a 2) (pow c 2)))))) (* 1/4 (/ 1 (* a c))))
(fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 #s(literal -1/256 binary64) (/.f64 (*.f64 b b) (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (/.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 a a))))) (/.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 c (*.f64 a a)) c))) (/.f64 #s(literal -1/4 binary64) (*.f64 c a)))
(/ 1 (pow b 2))
(/.f64 #s(literal 1 binary64) (*.f64 b b))
(/ (+ 1 (* 4 (/ (* a c) (pow b 2)))) (pow b 2))
(/.f64 (fma.f64 (*.f64 a #s(literal 4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64)) (*.f64 b b))
(/ (- (+ 1 (* 16 (/ (* (pow a 2) (pow c 2)) (pow b 4)))) (* -4 (/ (* a c) (pow b 2)))) (pow b 2))
(/.f64 (fma.f64 #s(literal 16 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 a a)) c) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (*.f64 a #s(literal 4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64))) (*.f64 b b))
(/ (- (+ 1 (* 64 (/ (* (pow a 3) (pow c 3)) (pow b 6)))) (+ (* -16 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -4 (/ (* a c) (pow b 2))))) (pow b 2))
(/.f64 (-.f64 (fma.f64 (*.f64 #s(literal 64 binary64) (*.f64 a (*.f64 a a))) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 6 binary64))) #s(literal 1 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 c a) (*.f64 b b)) (/.f64 (*.f64 (*.f64 (*.f64 c (*.f64 a a)) c) #s(literal -16 binary64)) (pow.f64 b #s(literal 4 binary64))))) (*.f64 b b))
(/ 1 (pow b 2))
(/.f64 #s(literal 1 binary64) (*.f64 b b))
(/ (+ 1 (* 4 (/ (* a c) (pow b 2)))) (pow b 2))
(/.f64 (fma.f64 (*.f64 a #s(literal 4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64)) (*.f64 b b))
(/ (- (+ 1 (* 16 (/ (* (pow a 2) (pow c 2)) (pow b 4)))) (* -4 (/ (* a c) (pow b 2)))) (pow b 2))
(/.f64 (fma.f64 #s(literal 16 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 a a)) c) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (*.f64 a #s(literal 4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64))) (*.f64 b b))
(/ (- (+ 1 (* 64 (/ (* (pow a 3) (pow c 3)) (pow b 6)))) (+ (* -16 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -4 (/ (* a c) (pow b 2))))) (pow b 2))
(/.f64 (-.f64 (fma.f64 (*.f64 #s(literal 64 binary64) (*.f64 a (*.f64 a a))) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 6 binary64))) #s(literal 1 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 c a) (*.f64 b b)) (/.f64 (*.f64 (*.f64 (*.f64 c (*.f64 a a)) c) #s(literal -16 binary64)) (pow.f64 b #s(literal 4 binary64))))) (*.f64 b b))

eval630.0ms (5%)

Memory
17.7MiB live, 635.4MiB allocated
Compiler

Compiled 81 269 to 6 690 computations (91.8% saved)

prune353.0ms (2.8%)

Memory
-3.2MiB live, 725.9MiB allocated
Pruning

33 alts after pruning (32 fresh and 1 done)

PrunedKeptTotal
New2 659252 684
Fresh7714
Picked415
Done000
Total2 670332 703
Accuracy
94.5%
Counts
2 703 → 33
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.8%
(fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))))) (/.f64 #s(literal -1/2 binary64) a)))
31.5%
(fma.f64 b (/.f64 c (*.f64 b b)) (/.f64 b (-.f64 #s(literal 0 binary64) a)))
24.1%
(/.f64 (fma.f64 b b (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))) (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))))) (*.f64 a #s(literal -2 binary64))))
32.4%
(/.f64 (/.f64 (-.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))) (fma.f64 b b #s(literal 0 binary64))) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))))) (*.f64 #s(literal 2 binary64) a))
29.9%
(/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) b)) a)
▶53.2%
(/.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a))
▶35.2%
(/.f64 (-.f64 (sqrt.f64 (*.f64 (*.f64 b b) (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64)))) b) (*.f64 #s(literal 2 binary64) a))
48.5%
(/.f64 (-.f64 (sqrt.f64 (*.f64 c (fma.f64 a #s(literal -4 binary64) (/.f64 (*.f64 b b) c)))) b) (*.f64 #s(literal 2 binary64) a))
34.4%
(/.f64 (-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) b) (*.f64 #s(literal 2 binary64) a))
10.3%
(/.f64 (-.f64 b b) (*.f64 #s(literal 2 binary64) a))
22.7%
(/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 b b) (*.f64 c (*.f64 a a))) (/.f64 #s(literal -1/4 binary64) a)) c)))) (*.f64 #s(literal 2 binary64) a))
34.1%
(/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 c a))))) (*.f64 #s(literal 2 binary64) a))
30.2%
(/.f64 (*.f64 (*.f64 a c) (/.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 2 binary64) a))
✓29.9%
(/.f64 (*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b)) (*.f64 #s(literal 2 binary64) a))
28.2%
(/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) (*.f64 (*.f64 a #s(literal 2 binary64)) b))
17.3%
(/.f64 (*.f64 c (exp.f64 (*.f64 (log.f64 (/.f64 b (*.f64 a #s(literal -2 binary64)))) #s(literal -1 binary64)))) (*.f64 #s(literal 2 binary64) a))
32.6%
(/.f64 b (-.f64 #s(literal 0 binary64) a))
31.5%
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 a (*.f64 a c)) #s(literal -1 binary64)) b))
35.4%
(/.f64 #s(literal 1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))))))
35.4%
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))))) a))
36.2%
(/.f64 #s(literal -1 binary64) (/.f64 b c))
31.4%
(-.f64 #s(literal 0 binary64) (*.f64 b (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b)))))
22.8%
(*.f64 (fma.f64 b b (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))))))
1.1%
(*.f64 (/.f64 (pow.f64 (/.f64 c b) #s(literal 3/2 binary64)) (*.f64 c c)) (/.f64 (pow.f64 (/.f64 c b) #s(literal 3/2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal 0 binary64)))))
3.1%
(*.f64 (/.f64 (/.f64 c b) (/.f64 c b)) (/.f64 c b))
31.8%
(*.f64 (/.f64 (*.f64 a c) (*.f64 a #s(literal 2 binary64))) (/.f64 #s(literal -2 binary64) b))
▶27.4%
(*.f64 (/.f64 (*.f64 a #s(literal -2 binary64)) b) (*.f64 c (/.f64 #s(literal 1/2 binary64) a)))
11.0%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (fma.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64)) b)))
34.3%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))))
32.5%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (*.f64 b #s(literal 2 binary64)))
36.5%
(*.f64 c (neg.f64 (/.f64 #s(literal 1 binary64) b)))
▶29.7%
(neg.f64 (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) b))
▶36.7%
(neg.f64 (/.f64 c b))
Compiler

Compiled 1 126 to 740 computations (34.3% saved)

simplify414.0ms (3.3%)

Memory
-23.0MiB live, 565.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(sqrt.f64 (*.f64 (*.f64 b b) (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64))))
✓cost-diff0
(-.f64 (sqrt.f64 (*.f64 (*.f64 b b) (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64)))) b)
✓cost-diff0
(/.f64 (-.f64 (sqrt.f64 (*.f64 (*.f64 b b) (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64)))) b) (*.f64 #s(literal 2 binary64) a))
✓cost-diff1408
(*.f64 (*.f64 b b) (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64)))
✓cost-diff-64
(neg.f64 (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) b))
✓cost-diff0
(/.f64 a (*.f64 b b))
✓cost-diff0
(fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)
✓cost-diff0
(/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) b)
✓cost-diff-64
(*.f64 a #s(literal -2 binary64))
✓cost-diff0
(/.f64 #s(literal 1/2 binary64) a)
✓cost-diff0
(/.f64 (*.f64 a #s(literal -2 binary64)) b)
✓cost-diff1600
(*.f64 (/.f64 (*.f64 a #s(literal -2 binary64)) b) (*.f64 c (/.f64 #s(literal 1/2 binary64) a)))
✓cost-diff-64
(neg.f64 (/.f64 c b))
✓cost-diff0
(/.f64 c b)
✓cost-diff0
(fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))
✓cost-diff0
(sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))
✓cost-diff0
(-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b)
✓cost-diff0
(/.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a))
Rules
12 740×accelerator-lowering-fma.f32
12 740×accelerator-lowering-fma.f64
4 012×*-lowering-*.f32
4 012×*-lowering-*.f64
2 650×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036225
1102225
2261225
3883224
42900224
53750224
66406224
08188213
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (- (sqrt (+ (* c (* a -4)) (* b b))) b) (* 2 a))
(- (sqrt (+ (* c (* a -4)) (* b b))) b)
(sqrt (+ (* c (* a -4)) (* b b)))
(+ (* c (* a -4)) (* b b))
c
(* a -4)
a
-4
(* b b)
b
(* 2 a)
2
(neg (/ c b))
(/ c b)
c
b
(* (/ (* a -2) b) (* c (/ 1/2 a)))
(/ (* a -2) b)
(* a -2)
a
-2
b
(* c (/ 1/2 a))
c
(/ 1/2 a)
1/2
(neg (/ (+ (* (* c c) (/ a (* b b))) c) b))
(/ (+ (* (* c c) (/ a (* b b))) c) b)
(+ (* (* c c) (/ a (* b b))) c)
(* c c)
c
(/ a (* b b))
a
(* b b)
b
(/ (- (sqrt (* (* b b) (+ (* (* a -4) (/ c (* b b))) 1))) b) (* 2 a))
(- (sqrt (* (* b b) (+ (* (* a -4) (/ c (* b b))) 1))) b)
(sqrt (* (* b b) (+ (* (* a -4) (/ c (* b b))) 1)))
(* (* b b) (+ (* (* a -4) (/ c (* b b))) 1))
(* b b)
b
(+ (* (* a -4) (/ c (* b b))) 1)
(* a -4)
a
-4
(/ c (* b b))
c
1
(* 2 a)
2
Outputs
(/ (- (sqrt (+ (* c (* a -4)) (* b b))) b) (* 2 a))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))) b) (*.f64 a #s(literal 2 binary64)))
(- (sqrt (+ (* c (* a -4)) (* b b))) b)
(-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))) b)
(sqrt (+ (* c (* a -4)) (* b b)))
(sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))))
(+ (* c (* a -4)) (* b b))
(fma.f64 c (*.f64 a #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))
c
(* a -4)
(*.f64 a #s(literal -4 binary64))
a
-4
#s(literal -4 binary64)
(* b b)
(fma.f64 b b #s(literal 0 binary64))
b
(* 2 a)
(*.f64 a #s(literal 2 binary64))
2
#s(literal 2 binary64)
(neg (/ c b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(/ c b)
(/.f64 c b)
c
b
(* (/ (* a -2) b) (* c (/ 1/2 a)))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(/ (* a -2) b)
(/.f64 (fma.f64 a #s(literal -2 binary64) #s(literal 0 binary64)) b)
(* a -2)
(fma.f64 a #s(literal -2 binary64) #s(literal 0 binary64))
a
-2
#s(literal -2 binary64)
b
(* c (/ 1/2 a))
(/.f64 (fma.f64 c #s(literal 1/2 binary64) #s(literal 0 binary64)) a)
c
(/ 1/2 a)
(/.f64 #s(literal 1/2 binary64) a)
1/2
#s(literal 1/2 binary64)
(neg (/ (+ (* (* c c) (/ a (* b b))) c) b))
(-.f64 #s(literal 0 binary64) (fma.f64 (/.f64 c b) (fma.f64 c (/.f64 a (fma.f64 b b #s(literal 0 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64)))
(/ (+ (* (* c c) (/ a (* b b))) c) b)
(fma.f64 (/.f64 c b) (fma.f64 c (/.f64 a (fma.f64 b b #s(literal 0 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64))
(+ (* (* c c) (/ a (* b b))) c)
(fma.f64 c (fma.f64 c (/.f64 a (fma.f64 b b #s(literal 0 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64))
(* c c)
(fma.f64 c c #s(literal 0 binary64))
c
(/ a (* b b))
(/.f64 a (fma.f64 b b #s(literal 0 binary64)))
a
(* b b)
(fma.f64 b b #s(literal 0 binary64))
b
(/ (- (sqrt (* (* b b) (+ (* (* a -4) (/ c (* b b))) 1))) b) (* 2 a))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))) b) (*.f64 a #s(literal 2 binary64)))
(- (sqrt (* (* b b) (+ (* (* a -4) (/ c (* b b))) 1))) b)
(-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))) b)
(sqrt (* (* b b) (+ (* (* a -4) (/ c (* b b))) 1)))
(sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))))
(* (* b b) (+ (* (* a -4) (/ c (* b b))) 1))
(fma.f64 c (*.f64 a #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))
(* b b)
(fma.f64 b b #s(literal 0 binary64))
b
(+ (* (* a -4) (/ c (* b b))) 1)
(fma.f64 a (*.f64 #s(literal -4 binary64) (/.f64 c (fma.f64 b b #s(literal 0 binary64)))) #s(literal 1 binary64))
(* a -4)
(*.f64 a #s(literal -4 binary64))
a
-4
#s(literal -4 binary64)
(/ c (* b b))
(/.f64 c (fma.f64 b b #s(literal 0 binary64)))
c
1
#s(literal 1 binary64)
(* 2 a)
(*.f64 a #s(literal 2 binary64))
2
#s(literal 2 binary64)

localize149.0ms (1.2%)

Memory
11.6MiB live, 243.5MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy85.9%
(/.f64 c (*.f64 b b))
✓accuracy83.2%
(*.f64 (*.f64 b b) (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64)))
✓accuracy76.1%
(-.f64 (sqrt.f64 (*.f64 (*.f64 b b) (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64)))) b)
✓accuracy66.0%
(sqrt.f64 (*.f64 (*.f64 b b) (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64))))
✓accuracy100.0%
(neg.f64 (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) b))
✓accuracy99.6%
(/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) b)
✓accuracy89.4%
(/.f64 a (*.f64 b b))
✓accuracy79.3%
(fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)
✓accuracy100.0%
(/.f64 #s(literal 1/2 binary64) a)
✓accuracy100.0%
(*.f64 a #s(literal -2 binary64))
✓accuracy99.7%
(*.f64 c (/.f64 #s(literal 1/2 binary64) a))
✓accuracy72.7%
(*.f64 (/.f64 (*.f64 a #s(literal -2 binary64)) b) (*.f64 c (/.f64 #s(literal 1/2 binary64) a)))
✓accuracy100.0%
(/.f64 c b)
✓accuracy100.0%
(neg.f64 (/.f64 c b))
✓accuracy100.0%
(*.f64 #s(literal 2 binary64) a)
✓accuracy95.7%
(/.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a))
✓accuracy76.1%
(-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b)
✓accuracy66.0%
(sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))
Samples
49.0ms168×0valid
22.0ms34×2valid
20.0ms45×1valid
8.0ms9×3valid
Compiler

Compiled 246 to 38 computations (84.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 67.0ms
ival-mult: 24.0ms (36% of total)
ival-div: 18.0ms (27% of total)
ival-add: 6.0ms (9% of total)
ival-sqrt: 6.0ms (9% of total)
adjust: 5.0ms (7.5% of total)
ival-sub: 4.0ms (6% of total)
ival-neg: 4.0ms (6% of total)
exact: 1.0ms (1.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series36.0ms (0.3%)

Memory
20.5MiB live, 58.8MiB allocated
Counts
21 → 612
Calls
Call 1
Inputs
#<alt (/ (- (sqrt (+ (* c (* a -4)) (* b b))) b) (* 2 a))>
#<alt (- (sqrt (+ (* c (* a -4)) (* b b))) b)>
#<alt (sqrt (+ (* c (* a -4)) (* b b)))>
#<alt (+ (* c (* a -4)) (* b b))>
#<alt (/ c b)>
#<alt (neg (/ c b))>
#<alt (* (/ (* a -2) b) (* c (/ 1/2 a)))>
#<alt (/ (* a -2) b)>
#<alt (/ 1/2 a)>
#<alt (* a -2)>
#<alt (/ (+ (* (* c c) (/ a (* b b))) c) b)>
#<alt (+ (* (* c c) (/ a (* b b))) c)>
#<alt (/ a (* b b))>
#<alt (neg (/ (+ (* (* c c) (/ a (* b b))) c) b))>
#<alt (* (* b b) (+ (* (* a -4) (/ c (* b b))) 1))>
#<alt (/ (- (sqrt (* (* b b) (+ (* (* a -4) (/ c (* b b))) 1))) b) (* 2 a))>
#<alt (- (sqrt (* (* b b) (+ (* (* a -4) (/ c (* b b))) 1))) b)>
#<alt (sqrt (* (* b b) (+ (* (* a -4) (/ c (* b b))) 1)))>
#<alt (* 2 a)>
#<alt (* c (/ 1/2 a))>
#<alt (/ c (* b b))>
Outputs
#<alt (* -1 (/ c b))>
#<alt (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))>
#<alt (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))>
#<alt (* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))>
#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))>
#<alt (* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))>
#<alt (* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* -1 (/ c b))>
#<alt (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))>
#<alt (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))>
#<alt (+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))>
#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))>
#<alt (+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))>
#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))>
#<alt (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))>
#<alt (* -1 (/ c b))>
#<alt (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)>
#<alt (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)>
#<alt (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)>
#<alt (* -1 (/ b a))>
#<alt (* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))>
#<alt (* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))>
#<alt (* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))>
#<alt (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))>
#<alt (* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))>
#<alt (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c)))>
#<alt (* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c)))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))>
#<alt (* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))>
#<alt (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))>
#<alt (* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a)))>
#<alt (* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a)))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))>
#<alt (* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (* -2 (/ (* a c) b))>
#<alt (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)>
#<alt (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)>
#<alt (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)>
#<alt (* -2 b)>
#<alt (* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))>
#<alt (* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))>
#<alt (* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))>
#<alt b>
#<alt (+ b (* -2 (/ (* a c) b)))>
#<alt (+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))>
#<alt (+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))>
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#<alt (* -1 (/ b a))>
#<alt (* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))>
#<alt (* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))>
#<alt (* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))>
#<alt (* -1 (/ c b))>
#<alt (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))>
#<alt (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))>
#<alt (+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (* a (* b (+ (* 4 (/ (pow c 4) (pow b 8))) (* 16 (/ (pow c 4) (pow b 8))))))))))))>
#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))>
#<alt (+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))>
#<alt (* -1 (/ c b))>
#<alt (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))>
#<alt (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))>
#<alt (* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* b (* c (+ (* 4 (/ (pow a 4) (pow b 8))) (* 16 (/ (pow a 4) (pow b 8)))))) a)))))) (/ 1 b)))>
#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))>
#<alt (* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))>
#<alt (* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (* -2 (/ (* a c) b))>
#<alt (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)>
#<alt (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)>
#<alt (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)>
#<alt (* -2 b)>
#<alt (* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))>
#<alt (* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))>
#<alt (* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))>
#<alt (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))>
#<alt (* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (* a (* b (+ (* 4 (/ (pow c 4) (pow b 8))) (* 16 (/ (pow c 4) (pow b 8)))))))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a)))>
#<alt (* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a)))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))>
#<alt (* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))>
#<alt (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))>
#<alt (* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (* b (* c (+ (* 4 (/ (pow a 4) (pow b 8))) (* 16 (/ (pow a 4) (pow b 8)))))))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))>
#<alt (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c)))>
#<alt (* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c)))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))>
#<alt (* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))>
#<alt (+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))>
#<alt b>
#<alt (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))>
#<alt (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))>
#<alt (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))>
#<alt (* -1 b)>
#<alt (* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))>
#<alt (* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))>
#<alt (* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))>
#<alt b>
#<alt (+ b (* -2 (/ (* a c) b)))>
#<alt (+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))>
#<alt (+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))>
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))>
#<alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))>
#<alt b>
#<alt (+ b (* -2 (/ (* a c) b)))>
#<alt (+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))>
#<alt (+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))>
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))>
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))>
#<alt (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 1/2 (/ c a))>
#<alt (* 1/2 (/ c a))>
#<alt (* 1/2 (/ c a))>
#<alt (* 1/2 (/ c a))>
#<alt (* 1/2 (/ c a))>
#<alt (* 1/2 (/ c a))>
#<alt (* 1/2 (/ c a))>
#<alt (* 1/2 (/ c a))>
#<alt (* 1/2 (/ c a))>
#<alt (* 1/2 (/ c a))>
#<alt (* 1/2 (/ c a))>
#<alt (* 1/2 (/ c a))>
#<alt (* 1/2 (/ c a))>
#<alt (* 1/2 (/ c a))>
#<alt (* 1/2 (/ c a))>
#<alt (* 1/2 (/ c a))>
#<alt (* 1/2 (/ c a))>
#<alt (* 1/2 (/ c a))>
#<alt (* 1/2 (/ c a))>
#<alt (* 1/2 (/ c a))>
#<alt (* 1/2 (/ c a))>
#<alt (* 1/2 (/ c a))>
#<alt (* 1/2 (/ c a))>
#<alt (* 1/2 (/ c a))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
Calls

153 calls:

TimeVariablePointExpression
5.0ms
c
@0
(/ (- (sqrt (* (* b b) (+ (* (* a -4) (/ c (* b b))) 1))) b) (* 2 a))
1.0ms
a
@0
(/ (+ (* (* c c) (/ a (* b b))) c) b)
1.0ms
b
@0
(/ (+ (* (* c c) (/ a (* b b))) c) b)
1.0ms
c
@0
(/ (+ (* (* c c) (/ a (* b b))) c) b)
1.0ms
a
@inf
(/ (+ (* (* c c) (/ a (* b b))) c) b)

rewrite464.0ms (3.7%)

Memory
15.2MiB live, 713.7MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 484×/-lowering-/.f32
5 484×/-lowering-/.f64
4 958×accelerator-lowering-fma.f32
4 958×accelerator-lowering-fma.f64
4 340×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036203
1210200
21664197
08579186
Stop Event
1×iter limit
1×node limit
Counts
21 → 967
Calls
Call 1
Inputs
(/ (- (sqrt (+ (* c (* a -4)) (* b b))) b) (* 2 a))
(- (sqrt (+ (* c (* a -4)) (* b b))) b)
(sqrt (+ (* c (* a -4)) (* b b)))
(+ (* c (* a -4)) (* b b))
(/ c b)
(neg (/ c b))
(* (/ (* a -2) b) (* c (/ 1/2 a)))
(/ (* a -2) b)
(/ 1/2 a)
(* a -2)
(/ (+ (* (* c c) (/ a (* b b))) c) b)
(+ (* (* c c) (/ a (* b b))) c)
(/ a (* b b))
(neg (/ (+ (* (* c c) (/ a (* b b))) c) b))
(* (* b b) (+ (* (* a -4) (/ c (* b b))) 1))
(/ (- (sqrt (* (* b b) (+ (* (* a -4) (/ c (* b b))) 1))) b) (* 2 a))
(- (sqrt (* (* b b) (+ (* (* a -4) (/ c (* b b))) 1))) b)
(sqrt (* (* b b) (+ (* (* a -4) (/ c (* b b))) 1)))
(* 2 a)
(* c (/ 1/2 a))
(/ c (* b b))
Outputs
(+.f64 (/.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (*.f64 a #s(literal 2 binary64))) (neg.f64 (/.f64 b (*.f64 a #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 a (*.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(-.f64 (/.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (*.f64 a #s(literal 2 binary64))) (/.f64 b (*.f64 a #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 a #s(literal -2 binary64))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) (*.f64 a #s(literal -2 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))) (fma.f64 b (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))) (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))) (*.f64 a #s(literal 2 binary64))) (/.f64 (/.f64 (*.f64 b (*.f64 b b)) (fma.f64 b (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))) (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))) (*.f64 a #s(literal 2 binary64))))
(-.f64 (/.f64 (/.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 2 binary64))) (/.f64 (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 2 binary64))))
(-.f64 (/.f64 (*.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))) (*.f64 (*.f64 a #s(literal 2 binary64)) (fma.f64 b (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))) (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) (/.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a #s(literal 2 binary64)) (fma.f64 b (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))) (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))))
(-.f64 (/.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) (*.f64 (*.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))))) (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))))))
(-.f64 (/.f64 (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (*.f64 a #s(literal 2 binary64))) (*.f64 (*.f64 a #s(literal 2 binary64)) (*.f64 a #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 a #s(literal 2 binary64)) b) (*.f64 (*.f64 a #s(literal 2 binary64)) (*.f64 a #s(literal 2 binary64)))))
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(/.f64 (sqrt.f64 (*.f64 (*.f64 b b) (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) #s(literal -64 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (+.f64 (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 (*.f64 c a) (*.f64 c a))) (*.f64 b (*.f64 b (*.f64 b b)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 b b))))))
(/.f64 (sqrt.f64 (*.f64 (*.f64 b b) (+.f64 (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 (*.f64 c a) (*.f64 c a))) (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal -1 binary64)))) (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) (/.f64 a (*.f64 b b))) #s(literal -1 binary64))))
(/.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) #s(literal -64 binary64)) #s(literal 1 binary64)) (*.f64 b b))) (sqrt.f64 (+.f64 (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 (*.f64 c a) (*.f64 c a))) (*.f64 b (*.f64 b (*.f64 b b)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 b b))))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 (*.f64 c a) (*.f64 c a))) (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal -1 binary64)) (*.f64 b b))) (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) (/.f64 a (*.f64 b b))) #s(literal -1 binary64))))
(pow.f64 (*.f64 (*.f64 b b) (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 b (sqrt.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 (*.f64 (*.f64 b b) (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64))) (*.f64 (*.f64 b b) (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64)))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (*.f64 (*.f64 b b) (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(*.f64 b (sqrt.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64))) b)
(*.f64 (sqrt.f64 b) (sqrt.f64 (*.f64 b (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 b) (pow.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64)) (*.f64 (*.f64 b b) (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64))))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 b) (sqrt.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64)) (*.f64 (*.f64 b b) (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64)))))))
(*.f64 (sqrt.f64 (*.f64 b (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64)))) (sqrt.f64 b))
(*.f64 (pow.f64 (*.f64 (*.f64 b b) (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (*.f64 b b) (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 b (*.f64 b (sqrt.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64))))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (*.f64 b (sqrt.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64))))) (sqrt.f64 (*.f64 b (sqrt.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64))))))
(*.f64 (sqrt.f64 (*.f64 b (*.f64 b (sqrt.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64)))))) (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64)))))
(-.f64 #s(literal 0 binary64) (*.f64 a #s(literal -2 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 a #s(literal -2 binary64)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 a #s(literal -1/2 binary64)))
(neg.f64 (*.f64 a #s(literal -2 binary64)))
(/.f64 a #s(literal 1/2 binary64))
(/.f64 (*.f64 a #s(literal 2 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) a))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1 binary64)))
(/.f64 (*.f64 a #s(literal -2 binary64)) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) a) #s(literal -1/2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1/2 binary64) a)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) a)) #s(literal 1/2 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 a #s(literal -2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 a #s(literal 2 binary64)) (*.f64 a #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 a #s(literal -2 binary64))))))
(pow.f64 (*.f64 a #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal -1 binary64))
(*.f64 a #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) a)
(*.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) a))
(*.f64 (-.f64 #s(literal 0 binary64) a) #s(literal -2 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 a #s(literal -2 binary64)))
(/.f64 c (*.f64 a #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 c #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 2 binary64)) c))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a (*.f64 c #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 2 binary64)) (*.f64 c #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 c #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) c)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 #s(literal -1/2 binary64) c)))
(/.f64 (-.f64 #s(literal 0 binary64) c) (*.f64 a #s(literal -2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 a (*.f64 c #s(literal 1/2 binary64)))))
(/.f64 (*.f64 c #s(literal 1/2 binary64)) a)
(/.f64 (neg.f64 (*.f64 c #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) a))
(/.f64 (*.f64 c #s(literal 1 binary64)) (*.f64 a #s(literal 2 binary64)))
(/.f64 (*.f64 c #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) a))
(/.f64 (*.f64 #s(literal 1 binary64) c) (*.f64 a #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal -1/2 binary64) c) (-.f64 #s(literal 0 binary64) a))
(/.f64 (neg.f64 (*.f64 c #s(literal 1 binary64))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (neg.f64 (neg.f64 (*.f64 c #s(literal 1/2 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) a)))
(/.f64 (neg.f64 (*.f64 c #s(literal -1/2 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) a)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) c)) (*.f64 a #s(literal -2 binary64)))
(/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) c)) (neg.f64 (-.f64 #s(literal 0 binary64) a)))
(pow.f64 (/.f64 a (*.f64 c #s(literal 1/2 binary64))) #s(literal -1 binary64))
(*.f64 c (/.f64 #s(literal 1/2 binary64) a))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) c))
(*.f64 #s(literal 1/2 binary64) (/.f64 c a))
(*.f64 #s(literal -1/2 binary64) (/.f64 c (-.f64 #s(literal 0 binary64) a)))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) c)
(*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 c (*.f64 a #s(literal -2 binary64))))
(*.f64 (*.f64 c #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) a))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) a)) (/.f64 c #s(literal -2 binary64)))
(*.f64 (/.f64 c #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -2 binary64))))
(*.f64 (/.f64 c #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) a))
(*.f64 (/.f64 c a) #s(literal 1/2 binary64))
(*.f64 (/.f64 c #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) a))
(*.f64 (/.f64 c #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) a)))
(*.f64 (/.f64 c (-.f64 #s(literal 0 binary64) a)) #s(literal -1/2 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 b b) c)) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) b)) (/.f64 (/.f64 c b) (-.f64 #s(literal 0 binary64) b)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b b))) (/.f64 c (-.f64 #s(literal 0 binary64) (*.f64 b b))))
(neg.f64 (/.f64 c (-.f64 #s(literal 0 binary64) (*.f64 b b))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) c) (*.f64 b b)))
(/.f64 c (*.f64 b b))
(/.f64 (/.f64 c b) b)
(/.f64 (/.f64 c b) (neg.f64 (-.f64 #s(literal 0 binary64) b)))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 c b)) (-.f64 #s(literal 0 binary64) b))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) c))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 b b) c))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 c #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) c) (-.f64 #s(literal 0 binary64) (*.f64 b b)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 b b) c)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) c)) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b))))
(/.f64 (*.f64 c #s(literal 1 binary64)) (*.f64 b b))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) c))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)))))
(/.f64 (neg.f64 (*.f64 c #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 b b)))
(pow.f64 (/.f64 (*.f64 b b) c) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 b c) b) #s(literal -1 binary64))
(*.f64 c (/.f64 #s(literal 1 binary64) (*.f64 b b)))
(*.f64 (/.f64 c b) (/.f64 #s(literal 1 binary64) b))
(*.f64 (/.f64 c (*.f64 b b)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 c (*.f64 b b)))
(*.f64 (-.f64 #s(literal 0 binary64) c) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b b))))
(*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 c b))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) c)
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (pow.f64 (/.f64 #s(literal 1 binary64) c) #s(literal -1 binary64)))
(*.f64 (/.f64 c #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 b b)))
(*.f64 (/.f64 c #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) b)) b))
(*.f64 (/.f64 c #s(literal -1 binary64)) (/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) b)) b))
(*.f64 (/.f64 (/.f64 c b) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) b))
(*.f64 (/.f64 #s(literal -1 binary64) b) (-.f64 #s(literal 0 binary64) (/.f64 c b)))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) c) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 b b)))

simplify699.0ms (5.6%)

Memory
37.4MiB live, 835.0MiB allocated
Algorithm
1×egg-herbie
Rules
10 970×accelerator-lowering-fma.f32
10 970×accelerator-lowering-fma.f64
7 316×*-lowering-*.f32
7 316×*-lowering-*.f64
3 278×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06398672
120768598
270258574
081848207
Stop Event
1×iter limit
1×node limit
Counts
612 → 612
Calls
Call 1
Inputs
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))
(* -1 (/ c b))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(* -2 (/ (* a c) b))
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c)))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -2 (/ (* a c) b))
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* (sqrt (* a c)) (sqrt -4))
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(* -2 (/ (* a c) b))
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
(* -2 b)
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
(* (sqrt (* a c)) (sqrt -4))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))
b
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 b)
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* -4 (* a c))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* -4 (* a c))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* -4 (* a c))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* -4 (* a c))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(* -4 (* a c))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(pow b 2)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(pow b 2)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -2 (/ a b))
(* -2 (/ a b))
(* -2 (/ a b))
(* -2 (/ a b))
(* -2 (/ a b))
(* -2 (/ a b))
(* -2 (/ a b))
(* -2 (/ a b))
(* -2 (/ a b))
(* -2 (/ a b))
(* -2 (/ a b))
(* -2 (/ a b))
(* -2 (/ a b))
(* -2 (/ a b))
(* -2 (/ a b))
(* -2 (/ a b))
(* -2 (/ a b))
(* -2 (/ a b))
(* -2 (/ a b))
(* -2 (/ a b))
(* -2 (/ a b))
(* -2 (/ a b))
(* -2 (/ a b))
(* -2 (/ a b))
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(* -2 a)
(* -2 a)
(* -2 a)
(* -2 a)
(* -2 a)
(* -2 a)
(* -2 a)
(* -2 a)
(* -2 a)
(* -2 a)
(* -2 a)
(* -2 a)
(/ c b)
(* c (+ (/ 1 b) (/ (* a c) (pow b 3))))
(* c (+ (/ 1 b) (/ (* a c) (pow b 3))))
(* c (+ (/ 1 b) (/ (* a c) (pow b 3))))
(/ (* a (pow c 2)) (pow b 3))
(* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3))))
(* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3))))
(* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3))))
(/ (* a (pow c 2)) (pow b 3))
(* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3))))
(* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3))))
(* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3))))
(/ c b)
(+ (/ c b) (/ (* a (pow c 2)) (pow b 3)))
(+ (/ c b) (/ (* a (pow c 2)) (pow b 3)))
(+ (/ c b) (/ (* a (pow c 2)) (pow b 3)))
(/ (* a (pow c 2)) (pow b 3))
(* a (+ (/ c (* a b)) (/ (pow c 2) (pow b 3))))
(* a (+ (/ c (* a b)) (/ (pow c 2) (pow b 3))))
(* a (+ (/ c (* a b)) (/ (pow c 2) (pow b 3))))
(/ (* a (pow c 2)) (pow b 3))
(* -1 (* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3))))))
(* -1 (* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3))))))
(* -1 (* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3))))))
(/ (* a (pow c 2)) (pow b 3))
(/ (+ (* a (pow c 2)) (* (pow b 2) c)) (pow b 3))
(/ (+ (* a (pow c 2)) (* (pow b 2) c)) (pow b 3))
(/ (+ (* a (pow c 2)) (* (pow b 2) c)) (pow b 3))
(/ c b)
(/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)
(/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)
(/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)
(/ c b)
(* -1 (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b))
c
(* c (+ 1 (/ (* a c) (pow b 2))))
(* c (+ 1 (/ (* a c) (pow b 2))))
(* c (+ 1 (/ (* a c) (pow b 2))))
(/ (* a (pow c 2)) (pow b 2))
(* (pow c 2) (+ (/ 1 c) (/ a (pow b 2))))
(* (pow c 2) (+ (/ 1 c) (/ a (pow b 2))))
(* (pow c 2) (+ (/ 1 c) (/ a (pow b 2))))
(/ (* a (pow c 2)) (pow b 2))
(* (pow c 2) (+ (/ 1 c) (/ a (pow b 2))))
(* (pow c 2) (+ (/ 1 c) (/ a (pow b 2))))
(* (pow c 2) (+ (/ 1 c) (/ a (pow b 2))))
c
(+ c (/ (* a (pow c 2)) (pow b 2)))
(+ c (/ (* a (pow c 2)) (pow b 2)))
(+ c (/ (* a (pow c 2)) (pow b 2)))
(/ (* a (pow c 2)) (pow b 2))
(* a (+ (/ c a) (/ (pow c 2) (pow b 2))))
(* a (+ (/ c a) (/ (pow c 2) (pow b 2))))
(* a (+ (/ c a) (/ (pow c 2) (pow b 2))))
(/ (* a (pow c 2)) (pow b 2))
(* -1 (* a (+ (* -1 (/ c a)) (* -1 (/ (pow c 2) (pow b 2))))))
(* -1 (* a (+ (* -1 (/ c a)) (* -1 (/ (pow c 2) (pow b 2))))))
(* -1 (* a (+ (* -1 (/ c a)) (* -1 (/ (pow c 2) (pow b 2))))))
(/ (* a (pow c 2)) (pow b 2))
(/ (+ (* a (pow c 2)) (* (pow b 2) c)) (pow b 2))
(/ (+ (* a (pow c 2)) (* (pow b 2) c)) (pow b 2))
(/ (+ (* a (pow c 2)) (* (pow b 2) c)) (pow b 2))
c
(+ c (/ (* a (pow c 2)) (pow b 2)))
(+ c (/ (* a (pow c 2)) (pow b 2)))
(+ c (/ (* a (pow c 2)) (pow b 2)))
c
(+ c (/ (* a (pow c 2)) (pow b 2)))
(+ c (/ (* a (pow c 2)) (pow b 2)))
(+ c (/ (* a (pow c 2)) (pow b 2)))
(/ a (pow b 2))
(/ a (pow b 2))
(/ a (pow b 2))
(/ a (pow b 2))
(/ a (pow b 2))
(/ a (pow b 2))
(/ a (pow b 2))
(/ a (pow b 2))
(/ a (pow b 2))
(/ a (pow b 2))
(/ a (pow b 2))
(/ a (pow b 2))
(/ a (pow b 2))
(/ a (pow b 2))
(/ a (pow b 2))
(/ a (pow b 2))
(/ a (pow b 2))
(/ a (pow b 2))
(/ a (pow b 2))
(/ a (pow b 2))
(/ a (pow b 2))
(/ a (pow b 2))
(/ a (pow b 2))
(/ a (pow b 2))
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* -1 (/ (* a (pow c 2)) (pow b 3)))
(* -1 (* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3)))))
(* -1 (* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3)))))
(* -1 (* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3)))))
(* -1 (/ (* a (pow c 2)) (pow b 3)))
(* -1 (* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3)))))
(* -1 (* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3)))))
(* -1 (* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3)))))
(* -1 (/ c b))
(- (* -1 (/ (* a (pow c 2)) (pow b 3))) (/ c b))
(- (* -1 (/ (* a (pow c 2)) (pow b 3))) (/ c b))
(- (* -1 (/ (* a (pow c 2)) (pow b 3))) (/ c b))
(* -1 (/ (* a (pow c 2)) (pow b 3)))
(* a (- (* -1 (/ c (* a b))) (/ (pow c 2) (pow b 3))))
(* a (- (* -1 (/ c (* a b))) (/ (pow c 2) (pow b 3))))
(* a (- (* -1 (/ c (* a b))) (/ (pow c 2) (pow b 3))))
(* -1 (/ (* a (pow c 2)) (pow b 3)))
(* -1 (* a (- (/ c (* a b)) (* -1 (/ (pow c 2) (pow b 3))))))
(* -1 (* a (- (/ c (* a b)) (* -1 (/ (pow c 2) (pow b 3))))))
(* -1 (* a (- (/ c (* a b)) (* -1 (/ (pow c 2) (pow b 3))))))
(* -1 (/ (* a (pow c 2)) (pow b 3)))
(/ (- (* -1 (* (pow b 2) c)) (* a (pow c 2))) (pow b 3))
(/ (- (* -1 (* (pow b 2) c)) (* a (pow c 2))) (pow b 3))
(/ (- (* -1 (* (pow b 2) c)) (* a (pow c 2))) (pow b 3))
(* -1 (/ c b))
(/ (- (* -1 (/ (* a (pow c 2)) (pow b 2))) c) b)
(/ (- (* -1 (/ (* a (pow c 2)) (pow b 2))) c) b)
(/ (- (* -1 (/ (* a (pow c 2)) (pow b 2))) c) b)
(* -1 (/ c b))
(* -1 (/ (- (/ (* a (pow c 2)) (pow b 2)) (* -1 c)) b))
(* -1 (/ (- (/ (* a (pow c 2)) (pow b 2)) (* -1 c)) b))
(* -1 (/ (- (/ (* a (pow c 2)) (pow b 2)) (* -1 c)) b))
(* -4 (* a c))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(pow b 2)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(pow b 2)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* -4 (* a c))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* -4 (* a c))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* -4 (* a c))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* -4 (* a c))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))
(* -1 (/ c b))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (* a (* b (+ (* 4 (/ (pow c 4) (pow b 8))) (* 16 (/ (pow c 4) (pow b 8))))))))))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* b (* c (+ (* 4 (/ (pow a 4) (pow b 8))) (* 16 (/ (pow a 4) (pow b 8)))))) a)))))) (/ 1 b)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* (sqrt (* a c)) (sqrt -4))
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(* -2 (/ (* a c) b))
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
(* -2 b)
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -2 (/ (* a c) b))
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (* a (* b (+ (* 4 (/ (pow c 4) (pow b 8))) (* 16 (/ (pow c 4) (pow b 8)))))))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -2 (/ (* a c) b))
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (* b (* c (+ (* 4 (/ (pow a 4) (pow b 8))) (* 16 (/ (pow a 4) (pow b 8)))))))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c)))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* (sqrt (* a c)) (sqrt -4))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))
b
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 b)
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 1/2 (/ c a))
(* 1/2 (/ c a))
(* 1/2 (/ c a))
(* 1/2 (/ c a))
(* 1/2 (/ c a))
(* 1/2 (/ c a))
(* 1/2 (/ c a))
(* 1/2 (/ c a))
(* 1/2 (/ c a))
(* 1/2 (/ c a))
(* 1/2 (/ c a))
(* 1/2 (/ c a))
(* 1/2 (/ c a))
(* 1/2 (/ c a))
(* 1/2 (/ c a))
(* 1/2 (/ c a))
(* 1/2 (/ c a))
(* 1/2 (/ c a))
(* 1/2 (/ c a))
(* 1/2 (/ c a))
(* 1/2 (/ c a))
(* 1/2 (/ c a))
(* 1/2 (/ c a))
(* 1/2 (/ c a))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
Outputs
(* -1 (/ c b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) c) (fma.f64 c (/.f64 a (*.f64 b b)) #s(literal 1 binary64))) b)
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(*.f64 c (fma.f64 c (-.f64 (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) c) (pow.f64 b #s(literal 5 binary64))) (/.f64 a (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1 binary64) b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(*.f64 c (fma.f64 c (fma.f64 c (fma.f64 (*.f64 #s(literal -1/4 binary64) c) (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 20 binary64) (*.f64 b a))) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) (-.f64 #s(literal 0 binary64) (/.f64 a (*.f64 b (*.f64 b b))))) (/.f64 #s(literal -1 binary64) b)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 1/2 binary64)))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(*.f64 c (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (*.f64 #s(literal -1/2 binary64) (/.f64 b (*.f64 c a)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(*.f64 c (fma.f64 #s(literal -1/2 binary64) (/.f64 b (*.f64 c a)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 a (*.f64 c (*.f64 c a))))))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/4 binary64))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(*.f64 c (fma.f64 #s(literal -1/16 binary64) (/.f64 (*.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 b b) (*.f64 b b))) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 b (*.f64 c a)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 a (*.f64 c (*.f64 c a))))))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/4 binary64)))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(*.f64 (sqrt.f64 (/.f64 c a)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(*.f64 (fma.f64 b (/.f64 #s(literal 1/2 binary64) (*.f64 c a)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64)))) (-.f64 #s(literal 0 binary64) c))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(-.f64 #s(literal 0 binary64) (*.f64 c (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (fma.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)))) #s(literal -1/8 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) b) a)) c))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(*.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) b) a) (/.f64 (fma.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 (/.f64 c (*.f64 a (*.f64 a a)))) #s(literal 1/8 binary64)) (*.f64 #s(literal -1/128 binary64) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (pow.f64 a #s(literal 5 binary64))))))))) c)) c)) (-.f64 #s(literal 0 binary64) c))
(* -1 (/ c b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) c) (fma.f64 c (/.f64 a (*.f64 b b)) #s(literal 1 binary64))) b)
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(-.f64 (/.f64 (*.f64 a (*.f64 #s(literal -2 binary64) (*.f64 c (*.f64 c (*.f64 c a))))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 c (fma.f64 c (/.f64 a (*.f64 b b)) #s(literal 1 binary64))) b))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(+.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) c) (fma.f64 c (/.f64 a (*.f64 b b)) #s(literal 1 binary64))) b) (*.f64 (*.f64 a a) (fma.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 a b)) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 5 binary64))))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 1/2 binary64)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) b) a))
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 b b)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) b) a)))
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
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(fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 a (*.f64 c (*.f64 c a))))))) (*.f64 (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -4 binary64))) #s(literal -1/8 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 -4 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 c a))) (sqrt.f64 #s(literal -4 binary64))))) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))))
b
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(*.f64 b (fma.f64 a (*.f64 (/.f64 c (*.f64 b b)) #s(literal -2 binary64)) #s(literal 1 binary64)))
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(*.f64 b (fma.f64 #s(literal -2 binary64) (fma.f64 c (/.f64 a (*.f64 b b)) (/.f64 (*.f64 a (*.f64 c (*.f64 c a))) (*.f64 (*.f64 b b) (*.f64 b b)))) #s(literal 1 binary64)))
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(*.f64 b (fma.f64 #s(literal -2 binary64) (fma.f64 c (/.f64 a (*.f64 b b)) (/.f64 (*.f64 a (*.f64 c (*.f64 c a))) (*.f64 (*.f64 b b) (*.f64 b b)))) (fma.f64 (*.f64 #s(literal -4 binary64) (*.f64 a (*.f64 a a))) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 6 binary64))) #s(literal 1 binary64))))
(* -1 b)
(-.f64 #s(literal 0 binary64) b)
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(*.f64 b (-.f64 #s(literal 0 binary64) (fma.f64 a (*.f64 (/.f64 c (*.f64 b b)) #s(literal -2 binary64)) #s(literal 1 binary64))))
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
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(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
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b
(+ b (* -2 (/ (* a c) b)))
(fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(fma.f64 a (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 c (fma.f64 c (/.f64 a (*.f64 b b)) #s(literal 1 binary64))) b)) b)
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(fma.f64 a (fma.f64 a (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 c (*.f64 c (*.f64 c a)))) (pow.f64 b #s(literal 5 binary64))) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 c (fma.f64 c (/.f64 a (*.f64 b b)) #s(literal 1 binary64))) b))) b)
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a)))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
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(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(*.f64 a (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 (*.f64 b b) (*.f64 b b)) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) #s(literal -1/8 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 b b)) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(*.f64 a (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 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64))) #s(literal 1/16 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 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) #s(literal -1/8 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 b b)) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (sqrt.f64 (*.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -2 binary64)))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 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)))) #s(literal 1/4 binary64)))) (-.f64 #s(literal 0 binary64) a))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(-.f64 #s(literal 0 binary64) (*.f64 a (fma.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (pow.f64 a #s(literal 5 binary64))))) #s(literal -1/64 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)))) #s(literal 1/4 binary64)))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (pow.f64 a #s(literal 5 binary64))))) #s(literal -1/64 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 (pow.f64 b #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/512 binary64)) (fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 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)))) #s(literal 1/4 binary64)))))) (-.f64 #s(literal 0 binary64) a))
b
(+ b (* -2 (/ (* a c) b)))
(fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(fma.f64 #s(literal -2 binary64) (*.f64 (fma.f64 c (*.f64 a (/.f64 a (*.f64 b (*.f64 b b)))) (/.f64 a b)) c) b)
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(fma.f64 c (fma.f64 c (fma.f64 c (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 a (*.f64 a a))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -2 binary64)) b)) b)
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a)))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(*.f64 c (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 b b) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 c (*.f64 c a)))))) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(*.f64 c (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) (*.f64 a (pow.f64 c #s(literal 5 binary64)))))) (*.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) #s(literal -1/8 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 b b) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 c (*.f64 c a)))))) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c))))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(*.f64 c (fma.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 7 binary64))))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) (*.f64 a (pow.f64 c #s(literal 5 binary64)))))) (*.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) #s(literal -1/8 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 b b) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 c (*.f64 c a)))))) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c)))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (sqrt.f64 (*.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -2 binary64)))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(*.f64 (-.f64 #s(literal 0 binary64) c) (fma.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 c (*.f64 c a))))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(*.f64 (-.f64 #s(literal 0 binary64) c) (fma.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) (*.f64 a (pow.f64 c #s(literal 5 binary64)))))) (*.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/64 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 c (*.f64 c a))))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
(*.f64 (-.f64 #s(literal 0 binary64) c) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) (*.f64 a (pow.f64 c #s(literal 5 binary64)))))) (*.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/64 binary64)) (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 (pow.f64 b #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/512 binary64)) (fma.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 c (*.f64 c a))))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)))))))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* 1/2 (/ c a))
(/.f64 (*.f64 #s(literal 1/2 binary64) c) a)
(* 1/2 (/ c a))
(/.f64 (*.f64 #s(literal 1/2 binary64) c) a)
(* 1/2 (/ c a))
(/.f64 (*.f64 #s(literal 1/2 binary64) c) a)
(* 1/2 (/ c a))
(/.f64 (*.f64 #s(literal 1/2 binary64) c) a)
(* 1/2 (/ c a))
(/.f64 (*.f64 #s(literal 1/2 binary64) c) a)
(* 1/2 (/ c a))
(/.f64 (*.f64 #s(literal 1/2 binary64) c) a)
(* 1/2 (/ c a))
(/.f64 (*.f64 #s(literal 1/2 binary64) c) a)
(* 1/2 (/ c a))
(/.f64 (*.f64 #s(literal 1/2 binary64) c) a)
(* 1/2 (/ c a))
(/.f64 (*.f64 #s(literal 1/2 binary64) c) a)
(* 1/2 (/ c a))
(/.f64 (*.f64 #s(literal 1/2 binary64) c) a)
(* 1/2 (/ c a))
(/.f64 (*.f64 #s(literal 1/2 binary64) c) a)
(* 1/2 (/ c a))
(/.f64 (*.f64 #s(literal 1/2 binary64) c) a)
(* 1/2 (/ c a))
(/.f64 (*.f64 #s(literal 1/2 binary64) c) a)
(* 1/2 (/ c a))
(/.f64 (*.f64 #s(literal 1/2 binary64) c) a)
(* 1/2 (/ c a))
(/.f64 (*.f64 #s(literal 1/2 binary64) c) a)
(* 1/2 (/ c a))
(/.f64 (*.f64 #s(literal 1/2 binary64) c) a)
(* 1/2 (/ c a))
(/.f64 (*.f64 #s(literal 1/2 binary64) c) a)
(* 1/2 (/ c a))
(/.f64 (*.f64 #s(literal 1/2 binary64) c) a)
(* 1/2 (/ c a))
(/.f64 (*.f64 #s(literal 1/2 binary64) c) a)
(* 1/2 (/ c a))
(/.f64 (*.f64 #s(literal 1/2 binary64) c) a)
(* 1/2 (/ c a))
(/.f64 (*.f64 #s(literal 1/2 binary64) c) a)
(* 1/2 (/ c a))
(/.f64 (*.f64 #s(literal 1/2 binary64) c) a)
(* 1/2 (/ c a))
(/.f64 (*.f64 #s(literal 1/2 binary64) c) a)
(* 1/2 (/ c a))
(/.f64 (*.f64 #s(literal 1/2 binary64) c) a)
(/ c (pow b 2))
(/.f64 c (*.f64 b b))
(/ c (pow b 2))
(/.f64 c (*.f64 b b))
(/ c (pow b 2))
(/.f64 c (*.f64 b b))
(/ c (pow b 2))
(/.f64 c (*.f64 b b))
(/ c (pow b 2))
(/.f64 c (*.f64 b b))
(/ c (pow b 2))
(/.f64 c (*.f64 b b))
(/ c (pow b 2))
(/.f64 c (*.f64 b b))
(/ c (pow b 2))
(/.f64 c (*.f64 b b))
(/ c (pow b 2))
(/.f64 c (*.f64 b b))
(/ c (pow b 2))
(/.f64 c (*.f64 b b))
(/ c (pow b 2))
(/.f64 c (*.f64 b b))
(/ c (pow b 2))
(/.f64 c (*.f64 b b))
(/ c (pow b 2))
(/.f64 c (*.f64 b b))
(/ c (pow b 2))
(/.f64 c (*.f64 b b))
(/ c (pow b 2))
(/.f64 c (*.f64 b b))
(/ c (pow b 2))
(/.f64 c (*.f64 b b))
(/ c (pow b 2))
(/.f64 c (*.f64 b b))
(/ c (pow b 2))
(/.f64 c (*.f64 b b))
(/ c (pow b 2))
(/.f64 c (*.f64 b b))
(/ c (pow b 2))
(/.f64 c (*.f64 b b))
(/ c (pow b 2))
(/.f64 c (*.f64 b b))
(/ c (pow b 2))
(/.f64 c (*.f64 b b))
(/ c (pow b 2))
(/.f64 c (*.f64 b b))
(/ c (pow b 2))
(/.f64 c (*.f64 b b))

eval319.0ms (2.6%)

Memory
9.0MiB live, 448.3MiB allocated
Compiler

Compiled 42 138 to 3 791 computations (91% saved)

prune203.0ms (1.6%)

Memory
-8.8MiB live, 518.6MiB allocated
Pruning

40 alts after pruning (35 fresh and 5 done)

PrunedKeptTotal
New1 595161 611
Fresh81927
Picked145
Done011
Total1 604401 644
Accuracy
95.4%
Counts
1 644 → 40
Alt Table
Click to see full alt table
StatusAccuracyProgram
11.6%
(fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64))) #s(literal 2 binary64)) (/.f64 b a) (neg.f64 (/.f64 b (*.f64 a #s(literal 2 binary64)))))
▶51.8%
(fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))))) (/.f64 #s(literal -1/2 binary64) a)))
31.5%
(fma.f64 b (/.f64 c (*.f64 b b)) (/.f64 b (-.f64 #s(literal 0 binary64) a)))
14.6%
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64))) b (-.f64 #s(literal 0 binary64) b)) (*.f64 #s(literal 2 binary64) a))
6.0%
(/.f64 (fma.f64 (sqrt.f64 (*.f64 b (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64)))) (sqrt.f64 b) (-.f64 #s(literal 0 binary64) b)) (*.f64 #s(literal 2 binary64) a))
24.1%
(/.f64 (fma.f64 b b (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))) (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))))) (*.f64 a #s(literal -2 binary64))))
32.4%
(/.f64 (/.f64 (-.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) (*.f64 b b)) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a))
▶14.6%
(/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64))) b) b) (*.f64 #s(literal 2 binary64) a))
✓53.2%
(/.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a))
48.6%
(/.f64 (-.f64 (sqrt.f64 (*.f64 c (fma.f64 b (/.f64 b c) (*.f64 a #s(literal -4 binary64))))) b) (*.f64 #s(literal 2 binary64) a))
34.4%
(/.f64 (-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))) b) (*.f64 #s(literal 2 binary64) a))
50.1%
(/.f64 (-.f64 (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64))))) b) (*.f64 #s(literal 2 binary64) a))
10.3%
(/.f64 (-.f64 b b) (*.f64 #s(literal 2 binary64) a))
22.7%
(/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 b b) (*.f64 c (*.f64 a a))) (/.f64 #s(literal -1/4 binary64) a)) c)))) (*.f64 #s(literal 2 binary64) a))
34.1%
(/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 c a))))) (*.f64 #s(literal 2 binary64) a))
28.2%
(/.f64 (*.f64 (*.f64 c #s(literal 1/2 binary64)) (*.f64 a #s(literal -2 binary64))) (*.f64 a b))
30.2%
(/.f64 (*.f64 (*.f64 a c) (/.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 2 binary64) a))
✓29.9%
(/.f64 (*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b)) (*.f64 #s(literal 2 binary64) a))
31.5%
(/.f64 (*.f64 a (*.f64 #s(literal -2 binary64) (/.f64 c (*.f64 a #s(literal 2 binary64))))) b)
▶32.6%
(/.f64 b (-.f64 #s(literal 0 binary64) a))
35.4%
(/.f64 #s(literal 1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))))))
35.4%
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))))) a))
36.2%
(/.f64 #s(literal -1 binary64) (/.f64 b c))
31.4%
(-.f64 #s(literal 0 binary64) (*.f64 b (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b)))))
22.8%
(*.f64 (fma.f64 b b (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))))))
3.1%
(*.f64 (/.f64 (/.f64 c b) (/.f64 c b)) (/.f64 c b))
31.8%
(*.f64 (/.f64 (*.f64 a c) (*.f64 a #s(literal 2 binary64))) (/.f64 #s(literal -2 binary64) b))
✓27.4%
(*.f64 (/.f64 (*.f64 a #s(literal -2 binary64)) b) (*.f64 c (/.f64 #s(literal 1/2 binary64) a)))
▶11.0%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (fma.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64)) b)))
34.3%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))))
32.5%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (*.f64 b #s(literal 2 binary64)))
27.4%
(*.f64 (*.f64 (/.f64 #s(literal -2 binary64) b) a) (*.f64 c (/.f64 #s(literal 1/2 binary64) a)))
▶28.9%
(*.f64 (*.f64 a #s(literal -2 binary64)) (/.f64 (/.f64 c (*.f64 a #s(literal 2 binary64))) b))
14.5%
(*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 b (*.f64 a #s(literal -2 binary64)))) #s(literal -1 binary64))) (*.f64 c (/.f64 #s(literal 1/2 binary64) a)))
36.5%
(*.f64 c (neg.f64 (/.f64 #s(literal 1 binary64) b)))
30.4%
(neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c) b))
36.6%
(neg.f64 (/.f64 (fma.f64 (/.f64 c b) (/.f64 c (/.f64 b a)) c) b))
✓29.7%
(neg.f64 (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) b))
9.6%
(neg.f64 (/.f64 (*.f64 c (*.f64 c a)) (*.f64 b (*.f64 b b))))
✓36.7%
(neg.f64 (/.f64 c b))
Compiler

Compiled 1 329 to 882 computations (33.6% saved)

simplify320.0ms (2.6%)

Memory
13.8MiB live, 451.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64))
✓cost-diff0
(sqrt.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64)))
✓cost-diff0
(-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64))) b) b)
✓cost-diff0
(/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64))) b) b) (*.f64 #s(literal 2 binary64) a))
✓cost-diff0
(fma.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64)) b)
✓cost-diff0
(/.f64 #s(literal -1/2 binary64) a)
✓cost-diff256
(-.f64 b (fma.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64)) b))
✓cost-diff1536
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (fma.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64)) b)))
✓cost-diff-64
(*.f64 a #s(literal -2 binary64))
✓cost-diff0
(/.f64 c (*.f64 a #s(literal 2 binary64)))
✓cost-diff512
(/.f64 (/.f64 c (*.f64 a #s(literal 2 binary64))) b)
✓cost-diff1088
(*.f64 (*.f64 a #s(literal -2 binary64)) (/.f64 (/.f64 c (*.f64 a #s(literal 2 binary64))) b))
✓cost-diff0
(-.f64 #s(literal 0 binary64) a)
✓cost-diff0
(/.f64 b (-.f64 #s(literal 0 binary64) a))
✓cost-diff0
(-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))))
✓cost-diff0
(/.f64 b a)
✓cost-diff128
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))))) (/.f64 #s(literal -1/2 binary64) a))
✓cost-diff896
(fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))))) (/.f64 #s(literal -1/2 binary64) a)))
Rules
10 610×accelerator-lowering-fma.f32
10 610×accelerator-lowering-fma.f64
4 054×*-lowering-*.f32
4 054×*-lowering-*.f64
1 642×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043267
1108267
2262254
3656251
41883243
55875243
08466232
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(+ (* (/ b a) -1/2) (* (- 0 (sqrt (+ (* a (* c -4)) (+ (* b b) 0)))) (/ -1/2 a)))
(/ b a)
b
a
-1/2
(* (- 0 (sqrt (+ (* a (* c -4)) (+ (* b b) 0)))) (/ -1/2 a))
(- 0 (sqrt (+ (* a (* c -4)) (+ (* b b) 0))))
0
(sqrt (+ (* a (* c -4)) (+ (* b b) 0)))
(+ (* a (* c -4)) (+ (* b b) 0))
(* c -4)
c
-4
(+ (* b b) 0)
(/ -1/2 a)
(/ b (- 0 a))
b
(- 0 a)
0
a
(* (* a -2) (/ (/ c (* a 2)) b))
(* a -2)
a
-2
(/ (/ c (* a 2)) b)
(/ c (* a 2))
c
(* a 2)
2
b
(* (/ -1/2 a) (- b (+ (* a (* (/ c b) -2)) b)))
(/ -1/2 a)
-1/2
a
(- b (+ (* a (* (/ c b) -2)) b))
b
(+ (* a (* (/ c b) -2)) b)
(* (/ c b) -2)
(/ c b)
c
-2
(/ (- (* (sqrt (+ (* (* a -4) (/ c (* b b))) 1)) b) b) (* 2 a))
(- (* (sqrt (+ (* (* a -4) (/ c (* b b))) 1)) b) b)
(* (sqrt (+ (* (* a -4) (/ c (* b b))) 1)) b)
(sqrt (+ (* (* a -4) (/ c (* b b))) 1))
(+ (* (* a -4) (/ c (* b b))) 1)
(* a -4)
a
-4
(/ c (* b b))
c
(* b b)
b
1
(* 2 a)
2
Outputs
(+ (* (/ b a) -1/2) (* (- 0 (sqrt (+ (* a (* c -4)) (+ (* b b) 0)))) (/ -1/2 a)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (fma.f64 a c #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)))) b) #s(literal 0 binary64))
(/ b a)
(/.f64 b a)
b
a
-1/2
#s(literal -1/2 binary64)
(* (- 0 (sqrt (+ (* a (* c -4)) (+ (* b b) 0)))) (/ -1/2 a))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (fma.f64 a c #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)))) (/.f64 #s(literal 1/2 binary64) a) #s(literal 0 binary64))
(- 0 (sqrt (+ (* a (* c -4)) (+ (* b b) 0))))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (fma.f64 a c #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)))))
0
#s(literal 0 binary64)
(sqrt (+ (* a (* c -4)) (+ (* b b) 0)))
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (fma.f64 a c #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64))))
(+ (* a (* c -4)) (+ (* b b) 0))
(fma.f64 #s(literal -4 binary64) (fma.f64 a c #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)))
(* c -4)
(*.f64 c #s(literal -4 binary64))
c
-4
#s(literal -4 binary64)
(+ (* b b) 0)
(fma.f64 b b #s(literal 0 binary64))
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
(/ b (- 0 a))
(/.f64 b (-.f64 #s(literal 0 binary64) a))
b
(- 0 a)
(-.f64 #s(literal 0 binary64) a)
0
#s(literal 0 binary64)
a
(* (* a -2) (/ (/ c (* a 2)) b))
(/.f64 c (-.f64 #s(literal 0 binary64) b))
(* a -2)
(fma.f64 a #s(literal -2 binary64) #s(literal 0 binary64))
a
-2
#s(literal -2 binary64)
(/ (/ c (* a 2)) b)
(/.f64 c (fma.f64 a (+.f64 b b) #s(literal 0 binary64)))
(/ c (* a 2))
(/.f64 c (fma.f64 a #s(literal 2 binary64) #s(literal 0 binary64)))
c
(* a 2)
(fma.f64 a #s(literal 2 binary64) #s(literal 0 binary64))
2
#s(literal 2 binary64)
b
(* (/ -1/2 a) (- b (+ (* a (* (/ c b) -2)) b)))
(/.f64 c (-.f64 #s(literal 0 binary64) b))
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
-1/2
#s(literal -1/2 binary64)
a
(- b (+ (* a (* (/ c b) -2)) b))
(/.f64 (fma.f64 a (*.f64 c #s(literal 2 binary64)) #s(literal 0 binary64)) b)
b
(+ (* a (* (/ c b) -2)) b)
(fma.f64 a (/.f64 (fma.f64 c #s(literal -2 binary64) #s(literal 0 binary64)) b) b)
(* (/ c b) -2)
(/.f64 (fma.f64 c #s(literal -2 binary64) #s(literal 0 binary64)) b)
(/ c b)
(/.f64 c b)
c
-2
#s(literal -2 binary64)
(/ (- (* (sqrt (+ (* (* a -4) (/ c (* b b))) 1)) b) b) (* 2 a))
(fma.f64 (/.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal 0 binary64))) (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (fma.f64 a c #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64))) #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal 0 binary64))
(- (* (sqrt (+ (* (* a -4) (/ c (* b b))) 1)) b) b)
(fma.f64 b (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (fma.f64 a c #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64))) #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal 0 binary64))
(* (sqrt (+ (* (* a -4) (/ c (* b b))) 1)) b)
(fma.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (fma.f64 a c #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64))) #s(literal 1 binary64))) #s(literal 0 binary64))
(sqrt (+ (* (* a -4) (/ c (* b b))) 1))
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (fma.f64 a c #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64))) #s(literal 1 binary64)))
(+ (* (* a -4) (/ c (* b b))) 1)
(fma.f64 #s(literal -4 binary64) (/.f64 (fma.f64 a c #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64))) #s(literal 1 binary64))
(* a -4)
(fma.f64 a #s(literal -4 binary64) #s(literal 0 binary64))
a
-4
#s(literal -4 binary64)
(/ c (* b b))
(/.f64 c (fma.f64 b b #s(literal 0 binary64)))
c
(* b b)
(fma.f64 b b #s(literal 0 binary64))
b
1
#s(literal 1 binary64)
(* 2 a)
(fma.f64 a #s(literal 2 binary64) #s(literal 0 binary64))
2
#s(literal 2 binary64)

localize226.0ms (1.8%)

Memory
0.7MiB live, 311.4MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy92.8%
(/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64))) b) b) (*.f64 #s(literal 2 binary64) a))
✓accuracy89.4%
(sqrt.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64)))
✓accuracy86.0%
(/.f64 c (*.f64 b b))
✓accuracy56.9%
(-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64))) b) b)
✓accuracy100.0%
(*.f64 (/.f64 c b) #s(literal -2 binary64))
✓accuracy97.0%
(fma.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64)) b)
✓accuracy88.3%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (fma.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64)) b)))
✓accuracy56.8%
(-.f64 b (fma.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64)) b))
✓accuracy100.0%
(*.f64 a #s(literal 2 binary64))
✓accuracy100.0%
(*.f64 a #s(literal -2 binary64))
✓accuracy91.7%
(/.f64 (/.f64 c (*.f64 a #s(literal 2 binary64))) b)
✓accuracy80.4%
(*.f64 (*.f64 a #s(literal -2 binary64)) (/.f64 (/.f64 c (*.f64 a #s(literal 2 binary64))) b))
✓accuracy100.0%
(/.f64 b (-.f64 #s(literal 0 binary64) a))
✓accuracy100.0%
(-.f64 #s(literal 0 binary64) a)
✓accuracy100.0%
(*.f64 c #s(literal -4 binary64))
✓accuracy99.6%
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))))) (/.f64 #s(literal -1/2 binary64) a))
✓accuracy74.5%
(fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))))) (/.f64 #s(literal -1/2 binary64) a)))
✓accuracy68.6%
(sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))))
Samples
56.0ms62×3valid
50.0ms65×2valid
26.0ms92×0valid
13.0ms11×4valid
11.0ms9×5exit
8.0ms17×1valid
Compiler

Compiled 270 to 45 computations (83.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 118.0ms
ival-mult: 42.0ms (35.7% of total)
ival-div: 23.0ms (19.6% of total)
adjust: 18.0ms (15.3% of total)
ival-add: 13.0ms (11.1% of total)
ival-sub: 11.0ms (9.4% of total)
ival-sqrt: 9.0ms (7.7% of total)
exact: 1.0ms (0.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series37.0ms (0.3%)

Memory
7.0MiB live, 44.4MiB allocated
Counts
23 → 648
Calls
Call 1
Inputs
#<alt (+ (* (/ b a) -1/2) (* (- 0 (sqrt (+ (* a (* c -4)) (+ (* b b) 0)))) (/ -1/2 a)))>
#<alt (* (- 0 (sqrt (+ (* a (* c -4)) (+ (* b b) 0)))) (/ -1/2 a))>
#<alt (/ b a)>
#<alt (- 0 (sqrt (+ (* a (* c -4)) (+ (* b b) 0))))>
#<alt (/ b (- 0 a))>
#<alt (- 0 a)>
#<alt (* (* a -2) (/ (/ c (* a 2)) b))>
#<alt (/ (/ c (* a 2)) b)>
#<alt (/ c (* a 2))>
#<alt (* a -2)>
#<alt (* (/ -1/2 a) (- b (+ (* a (* (/ c b) -2)) b)))>
#<alt (- b (+ (* a (* (/ c b) -2)) b))>
#<alt (/ -1/2 a)>
#<alt (+ (* a (* (/ c b) -2)) b)>
#<alt (/ (- (* (sqrt (+ (* (* a -4) (/ c (* b b))) 1)) b) b) (* 2 a))>
#<alt (- (* (sqrt (+ (* (* a -4) (/ c (* b b))) 1)) b) b)>
#<alt (sqrt (+ (* (* a -4) (/ c (* b b))) 1))>
#<alt (+ (* (* a -4) (/ c (* b b))) 1)>
#<alt (sqrt (+ (* a (* c -4)) (+ (* b b) 0)))>
#<alt (* c -4)>
#<alt (* a 2)>
#<alt (* (/ c b) -2)>
#<alt (/ c (* b b))>
Outputs
#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))>
#<alt (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))>
#<alt (* -1 (/ c b))>
#<alt (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)>
#<alt (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)>
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#<alt (/ -1/2 a)>
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#<alt (/ -1/2 a)>
#<alt (/ -1/2 a)>
#<alt (/ -1/2 a)>
#<alt (/ -1/2 a)>
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#<alt (/ -1/2 a)>
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#<alt b>
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#<alt (* a (+ (* -2 (/ c b)) (/ b a)))>
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#<alt (* -1 (* a (+ (* -1 (/ b a)) (* 2 (/ c b)))))>
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#<alt b>
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#<alt b>
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#<alt b>
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#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))>
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#<alt (* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))>
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#<alt 1>
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#<alt (* -2 (* (sqrt (* a c)) (/ (sqrt -1) b)))>
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#<alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 3) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 5) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* b (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (/ (sqrt -1) b))))))))>
#<alt 1>
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#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 3) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 5) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ b (sqrt -4)))) (* (sqrt (/ a c)) (/ (sqrt -4) b))))))>
#<alt (* -2 (* (sqrt (* a c)) (/ (sqrt -1) b)))>
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#<alt (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 3) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 5) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* b (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (/ (sqrt -1) b))))))))>
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#<alt 1>
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#<alt 1>
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#<alt 1>
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#<alt (* -1 (* a (- (* 4 (/ c (pow b 2))) (/ 1 a))))>
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#<alt 1>
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#<alt (/ (+ (* -4 (* a c)) (pow b 2)) (pow b 2))>
#<alt (/ (+ (* -4 (* a c)) (pow b 2)) (pow b 2))>
#<alt (/ (+ (* -4 (* a c)) (pow b 2)) (pow b 2))>
#<alt 1>
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#<alt (+ 1 (* -4 (/ (* a c) (pow b 2))))>
#<alt (+ 1 (* -4 (/ (* a c) (pow b 2))))>
#<alt 1>
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#<alt (+ 1 (* -4 (/ (* a c) (pow b 2))))>
#<alt (+ 1 (* -4 (/ (* a c) (pow b 2))))>
#<alt b>
#<alt (+ b (* -2 (/ (* a c) b)))>
#<alt (+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))>
#<alt (+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))>
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))>
#<alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))>
#<alt b>
#<alt (+ b (* -2 (/ (* a c) b)))>
#<alt (+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))>
#<alt (+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))>
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))>
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))>
#<alt (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))>
#<alt (+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))>
#<alt b>
#<alt (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))>
#<alt (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))>
#<alt (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))>
#<alt (* -1 b)>
#<alt (* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))>
#<alt (* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))>
#<alt (* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))>
#<alt (* -4 c)>
#<alt (* -4 c)>
#<alt (* -4 c)>
#<alt (* -4 c)>
#<alt (* -4 c)>
#<alt (* -4 c)>
#<alt (* -4 c)>
#<alt (* -4 c)>
#<alt (* -4 c)>
#<alt (* -4 c)>
#<alt (* -4 c)>
#<alt (* -4 c)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* -2 (/ c b))>
#<alt (* -2 (/ c b))>
#<alt (* -2 (/ c b))>
#<alt (* -2 (/ c b))>
#<alt (* -2 (/ c b))>
#<alt (* -2 (/ c b))>
#<alt (* -2 (/ c b))>
#<alt (* -2 (/ c b))>
#<alt (* -2 (/ c b))>
#<alt (* -2 (/ c b))>
#<alt (* -2 (/ c b))>
#<alt (* -2 (/ c b))>
#<alt (* -2 (/ c b))>
#<alt (* -2 (/ c b))>
#<alt (* -2 (/ c b))>
#<alt (* -2 (/ c b))>
#<alt (* -2 (/ c b))>
#<alt (* -2 (/ c b))>
#<alt (* -2 (/ c b))>
#<alt (* -2 (/ c b))>
#<alt (* -2 (/ c b))>
#<alt (* -2 (/ c b))>
#<alt (* -2 (/ c b))>
#<alt (* -2 (/ c b))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
Calls

162 calls:

TimeVariablePointExpression
5.0ms
c
@inf
(/ c (* a 2))
1.0ms
c
@0
(/ (/ c (* a 2)) b)
1.0ms
b
@-inf
(/ (- (* (sqrt (+ (* (* a -4) (/ c (* b b))) 1)) b) b) (* 2 a))
1.0ms
c
@inf
(* (- 0 (sqrt (+ (* a (* c -4)) (+ (* b b) 0)))) (/ -1/2 a))
1.0ms
c
@inf
(/ (/ c (* a 2)) b)

rewrite437.0ms (3.5%)

Memory
-49.4MiB live, 564.7MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 996×/-lowering-/.f32
4 996×/-lowering-/.f64
4 574×*-lowering-*.f32
4 574×*-lowering-*.f64
3 198×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043205
1266205
22404205
09060193
Stop Event
1×iter limit
1×node limit
Counts
23 → 1 017
Calls
Call 1
Inputs
(+ (* (/ b a) -1/2) (* (- 0 (sqrt (+ (* a (* c -4)) (+ (* b b) 0)))) (/ -1/2 a)))
(* (- 0 (sqrt (+ (* a (* c -4)) (+ (* b b) 0)))) (/ -1/2 a))
(/ b a)
(- 0 (sqrt (+ (* a (* c -4)) (+ (* b b) 0))))
(/ b (- 0 a))
(- 0 a)
(* (* a -2) (/ (/ c (* a 2)) b))
(/ (/ c (* a 2)) b)
(/ c (* a 2))
(* a -2)
(* (/ -1/2 a) (- b (+ (* a (* (/ c b) -2)) b)))
(- b (+ (* a (* (/ c b) -2)) b))
(/ -1/2 a)
(+ (* a (* (/ c b) -2)) b)
(/ (- (* (sqrt (+ (* (* a -4) (/ c (* b b))) 1)) b) b) (* 2 a))
(- (* (sqrt (+ (* (* a -4) (/ c (* b b))) 1)) b) b)
(sqrt (+ (* (* a -4) (/ c (* b b))) 1))
(+ (* (* a -4) (/ c (* b b))) 1)
(sqrt (+ (* a (* c -4)) (+ (* b b) 0)))
(* c -4)
(* a 2)
(* (/ c b) -2)
(/ c (* b b))
Outputs
(+.f64 (/.f64 (*.f64 b #s(literal -1/2 binary64)) a) (neg.f64 (*.f64 (sqrt.f64 (fma.f64 b b (fma.f64 a (*.f64 c #s(literal -4 binary64)) #s(literal 0 binary64)))) (/.f64 #s(literal -1/2 binary64) a))))
(+.f64 (neg.f64 (*.f64 (sqrt.f64 (fma.f64 b b (fma.f64 a (*.f64 c #s(literal -4 binary64)) #s(literal 0 binary64)))) (/.f64 #s(literal -1/2 binary64) a))) (/.f64 (*.f64 b #s(literal -1/2 binary64)) a))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 b #s(literal -1/2 binary64)) (*.f64 b #s(literal -1/2 binary64))) (fma.f64 a a #s(literal 0 binary64))) (/.f64 (-.f64 (*.f64 b #s(literal -1/2 binary64)) (neg.f64 (*.f64 (sqrt.f64 (fma.f64 b b (fma.f64 a (*.f64 c #s(literal -4 binary64)) #s(literal 0 binary64)))) #s(literal -1/2 binary64)))) a)) (/.f64 (*.f64 (fma.f64 b b (fma.f64 a (*.f64 c #s(literal -4 binary64)) #s(literal 0 binary64))) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) a))) (/.f64 (-.f64 (*.f64 b #s(literal -1/2 binary64)) (neg.f64 (*.f64 (sqrt.f64 (fma.f64 b b (fma.f64 a (*.f64 c #s(literal -4 binary64)) #s(literal 0 binary64)))) #s(literal -1/2 binary64)))) a)))
(fma.f64 b (/.f64 #s(literal -1/2 binary64) a) (neg.f64 (*.f64 (sqrt.f64 (fma.f64 b b (fma.f64 a (*.f64 c #s(literal -4 binary64)) #s(literal 0 binary64)))) (/.f64 #s(literal -1/2 binary64) a))))
(fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (neg.f64 (*.f64 (sqrt.f64 (fma.f64 b b (fma.f64 a (*.f64 c #s(literal -4 binary64)) #s(literal 0 binary64)))) (/.f64 #s(literal -1/2 binary64) a))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (neg.f64 (*.f64 (sqrt.f64 (fma.f64 b b (fma.f64 a (*.f64 c #s(literal -4 binary64)) #s(literal 0 binary64)))) (/.f64 #s(literal -1/2 binary64) a))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 b b (fma.f64 a (*.f64 c #s(literal -4 binary64)) #s(literal 0 binary64)))))) (/.f64 (*.f64 b #s(literal -1/2 binary64)) a))
(fma.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 b b (fma.f64 a (*.f64 c #s(literal -4 binary64)) #s(literal 0 binary64))))) (/.f64 #s(literal -1/2 binary64) a) (/.f64 (*.f64 b #s(literal -1/2 binary64)) a))
(fma.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 b b (fma.f64 a (*.f64 c #s(literal -4 binary64)) #s(literal 0 binary64))))) (/.f64 (*.f64 b #s(literal -1/2 binary64)) a))
(fma.f64 (neg.f64 (*.f64 (sqrt.f64 (fma.f64 b b (fma.f64 a (*.f64 c #s(literal -4 binary64)) #s(literal 0 binary64)))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) a) (/.f64 (*.f64 b #s(literal -1/2 binary64)) a))
(fma.f64 (*.f64 b #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) a) (neg.f64 (*.f64 (sqrt.f64 (fma.f64 b b (fma.f64 a (*.f64 c #s(literal -4 binary64)) #s(literal 0 binary64)))) (/.f64 #s(literal -1/2 binary64) a))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 (*.f64 (sqrt.f64 (fma.f64 b b (fma.f64 a (*.f64 c #s(literal -4 binary64)) #s(literal 0 binary64)))) (/.f64 #s(literal -1/2 binary64) a))) (/.f64 (-.f64 (neg.f64 (*.f64 (sqrt.f64 (fma.f64 b b (fma.f64 a (*.f64 c #s(literal -4 binary64)) #s(literal 0 binary64)))) #s(literal -1/2 binary64))) (*.f64 b #s(literal -1/2 binary64))) a) (/.f64 (*.f64 (*.f64 b #s(literal -1/2 binary64)) (*.f64 b #s(literal -1/2 binary64))) (fma.f64 a a #s(literal 0 binary64)))) (fma.f64 (*.f64 b (fma.f64 b b #s(literal 0 binary64))) (/.f64 #s(literal -1/8 binary64) (*.f64 a (fma.f64 a a #s(literal 0 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 b b (fma.f64 a (*.f64 c #s(literal -4 binary64)) #s(literal 0 binary64))) (sqrt.f64 (fma.f64 b b (fma.f64 a (*.f64 c #s(literal -4 binary64)) #s(literal 0 binary64)))))) (/.f64 #s(literal -1/8 binary64) (*.f64 a (fma.f64 a a #s(literal 0 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (*.f64 b #s(literal -1/2 binary64)) (neg.f64 (*.f64 (sqrt.f64 (fma.f64 b b (fma.f64 a (*.f64 c #s(literal -4 binary64)) #s(literal 0 binary64)))) #s(literal -1/2 binary64)))) a) (-.f64 (/.f64 (*.f64 (*.f64 b #s(literal -1/2 binary64)) (*.f64 b #s(literal -1/2 binary64))) (fma.f64 a a #s(literal 0 binary64))) (*.f64 (fma.f64 b b (fma.f64 a (*.f64 c #s(literal -4 binary64)) #s(literal 0 binary64))) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) a))))))
(/.f64 (fma.f64 (*.f64 b (fma.f64 b b #s(literal 0 binary64))) (/.f64 #s(literal -1/8 binary64) (*.f64 a (fma.f64 a a #s(literal 0 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 b b (fma.f64 a (*.f64 c #s(literal -4 binary64)) #s(literal 0 binary64))) (sqrt.f64 (fma.f64 b b (fma.f64 a (*.f64 c #s(literal -4 binary64)) #s(literal 0 binary64)))))) (/.f64 #s(literal -1/8 binary64) (*.f64 a (fma.f64 a a #s(literal 0 binary64)))))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 (fma.f64 b b (fma.f64 a (*.f64 c #s(literal -4 binary64)) #s(literal 0 binary64)))) (/.f64 #s(literal -1/2 binary64) a))) (/.f64 (-.f64 (neg.f64 (*.f64 (sqrt.f64 (fma.f64 b b (fma.f64 a (*.f64 c #s(literal -4 binary64)) #s(literal 0 binary64)))) #s(literal -1/2 binary64))) (*.f64 b #s(literal -1/2 binary64))) a) (/.f64 (*.f64 (*.f64 b #s(literal -1/2 binary64)) (*.f64 b #s(literal -1/2 binary64))) (fma.f64 a a #s(literal 0 binary64)))))
(/.f64 (fma.f64 (*.f64 b (fma.f64 b b #s(literal 0 binary64))) (/.f64 #s(literal -1/8 binary64) (*.f64 a (fma.f64 a a #s(literal 0 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 b b (fma.f64 a (*.f64 c #s(literal -4 binary64)) #s(literal 0 binary64))) (sqrt.f64 (fma.f64 b b (fma.f64 a (*.f64 c #s(literal -4 binary64)) #s(literal 0 binary64)))))) (/.f64 #s(literal -1/8 binary64) (*.f64 a (fma.f64 a a #s(literal 0 binary64)))))) (fma.f64 (fma.f64 b b (fma.f64 a (*.f64 c #s(literal -4 binary64)) #s(literal 0 binary64))) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) a)) (/.f64 (-.f64 (*.f64 (*.f64 b #s(literal -1/2 binary64)) (*.f64 b #s(literal -1/2 binary64))) (*.f64 (*.f64 b #s(literal -1/2 binary64)) (neg.f64 (*.f64 (sqrt.f64 (fma.f64 b b (fma.f64 a (*.f64 c #s(literal -4 binary64)) #s(literal 0 binary64)))) #s(literal -1/2 binary64))))) (fma.f64 a a #s(literal 0 binary64)))))
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 b #s(literal -1/2 binary64)) (*.f64 b #s(literal -1/2 binary64))) (fma.f64 a a #s(literal 0 binary64))) (*.f64 (fma.f64 b b (fma.f64 a (*.f64 c #s(literal -4 binary64)) #s(literal 0 binary64))) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) a)))) (/.f64 (-.f64 (*.f64 b #s(literal -1/2 binary64)) (neg.f64 (*.f64 (sqrt.f64 (fma.f64 b b (fma.f64 a (*.f64 c #s(literal -4 binary64)) #s(literal 0 binary64)))) #s(literal -1/2 binary64)))) a))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (neg.f64 (*.f64 (sqrt.f64 (fma.f64 b b (fma.f64 a (*.f64 c #s(literal -4 binary64)) #s(literal 0 binary64)))) (/.f64 #s(literal -1/2 binary64) a))) (/.f64 (-.f64 (neg.f64 (*.f64 (sqrt.f64 (fma.f64 b b (fma.f64 a (*.f64 c #s(literal -4 binary64)) #s(literal 0 binary64)))) #s(literal -1/2 binary64))) (*.f64 b #s(literal -1/2 binary64))) a) (/.f64 (*.f64 (*.f64 b #s(literal -1/2 binary64)) (*.f64 b #s(literal -1/2 binary64))) (fma.f64 a a #s(literal 0 binary64)))) (fma.f64 (*.f64 b (fma.f64 b b #s(literal 0 binary64))) (/.f64 #s(literal -1/8 binary64) (*.f64 a (fma.f64 a a #s(literal 0 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 b b (fma.f64 a (*.f64 c #s(literal -4 binary64)) #s(literal 0 binary64))) (sqrt.f64 (fma.f64 b b (fma.f64 a (*.f64 c #s(literal -4 binary64)) #s(literal 0 binary64)))))) (/.f64 #s(literal -1/8 binary64) (*.f64 a (fma.f64 a a #s(literal 0 binary64)))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (-.f64 (*.f64 b #s(literal -1/2 binary64)) (neg.f64 (*.f64 (sqrt.f64 (fma.f64 b b (fma.f64 a (*.f64 c #s(literal -4 binary64)) #s(literal 0 binary64)))) #s(literal -1/2 binary64)))) a) (-.f64 (/.f64 (*.f64 (*.f64 b #s(literal -1/2 binary64)) (*.f64 b #s(literal -1/2 binary64))) (fma.f64 a a #s(literal 0 binary64))) (*.f64 (fma.f64 b b (fma.f64 a (*.f64 c #s(literal -4 binary64)) #s(literal 0 binary64))) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) a)))))))
(/.f64 (fma.f64 (*.f64 b #s(literal -1/2 binary64)) a (*.f64 a (neg.f64 (*.f64 (sqrt.f64 (fma.f64 b b (fma.f64 a (*.f64 c #s(literal -4 binary64)) #s(literal 0 binary64)))) #s(literal -1/2 binary64))))) (fma.f64 a a #s(literal 0 binary64)))
(/.f64 (fma.f64 (neg.f64 (*.f64 (sqrt.f64 (fma.f64 b b (fma.f64 a (*.f64 c #s(literal -4 binary64)) #s(literal 0 binary64)))) #s(literal -1/2 binary64))) a (*.f64 a (*.f64 b #s(literal -1/2 binary64)))) (fma.f64 a a #s(literal 0 binary64)))
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(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 (fma.f64 b b (fma.f64 a (*.f64 c #s(literal -4 binary64)) #s(literal 0 binary64))) (sqrt.f64 (fma.f64 b b (fma.f64 a (*.f64 c #s(literal -4 binary64)) #s(literal 0 binary64)))))) (+.f64 #s(literal 0 binary64) (-.f64 (fma.f64 b b (fma.f64 a (*.f64 c #s(literal -4 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))))
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) (*.f64 a c))) #s(literal -64 binary64) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))))) (sqrt.f64 (neg.f64 (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (-.f64 (fma.f64 b b #s(literal 0 binary64)) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64))))))
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64) (neg.f64 (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)))))) (sqrt.f64 (neg.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 b b #s(literal 0 binary64)))))))
(/.f64 (sqrt.f64 (fma.f64 (fma.f64 b b (fma.f64 a (*.f64 c #s(literal -4 binary64)) #s(literal 0 binary64))) (*.f64 (fma.f64 b b (fma.f64 a (*.f64 c #s(literal -4 binary64)) #s(literal 0 binary64))) (fma.f64 b b (fma.f64 a (*.f64 c #s(literal -4 binary64)) #s(literal 0 binary64)))) #s(literal 0 binary64))) (sqrt.f64 (fma.f64 (fma.f64 b b (fma.f64 a (*.f64 c #s(literal -4 binary64)) #s(literal 0 binary64))) (fma.f64 b b (fma.f64 a (*.f64 c #s(literal -4 binary64)) #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 b b (fma.f64 a (*.f64 c #s(literal -4 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))))))
(/.f64 (sqrt.f64 (+.f64 #s(literal 0 binary64) (*.f64 (fma.f64 b b (fma.f64 a (*.f64 c #s(literal -4 binary64)) #s(literal 0 binary64))) (*.f64 (fma.f64 b b (fma.f64 a (*.f64 c #s(literal -4 binary64)) #s(literal 0 binary64))) (fma.f64 b b (fma.f64 a (*.f64 c #s(literal -4 binary64)) #s(literal 0 binary64))))))) (sqrt.f64 (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (fma.f64 b b (fma.f64 a (*.f64 c #s(literal -4 binary64)) #s(literal 0 binary64))) (fma.f64 b b (fma.f64 a (*.f64 c #s(literal -4 binary64)) #s(literal 0 binary64)))) (*.f64 #s(literal 0 binary64) (fma.f64 b b (fma.f64 a (*.f64 c #s(literal -4 binary64)) #s(literal 0 binary64))))))))
(/.f64 (sqrt.f64 (-.f64 (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)))) (sqrt.f64 (-.f64 (fma.f64 b b #s(literal 0 binary64)) (*.f64 a (*.f64 c #s(literal -4 binary64))))))
(/.f64 (sqrt.f64 (-.f64 (*.f64 (fma.f64 b b (fma.f64 a (*.f64 c #s(literal -4 binary64)) #s(literal 0 binary64))) (fma.f64 b b (fma.f64 a (*.f64 c #s(literal -4 binary64)) #s(literal 0 binary64)))) #s(literal 0 binary64))) (sqrt.f64 (-.f64 (fma.f64 b b (fma.f64 a (*.f64 c #s(literal -4 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 b b (fma.f64 a (*.f64 c #s(literal -4 binary64)) #s(literal 0 binary64))) (fma.f64 b b (fma.f64 a (*.f64 c #s(literal -4 binary64)) #s(literal 0 binary64)))))) (sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 b b (fma.f64 a (*.f64 c #s(literal -4 binary64)) #s(literal 0 binary64))))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) (*.f64 a c))) #s(literal -64 binary64) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))))) (neg.f64 (sqrt.f64 (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (-.f64 (fma.f64 b b #s(literal 0 binary64)) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64))))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64) (neg.f64 (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)))))) (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 b b #s(literal 0 binary64)))))))
(/.f64 (neg.f64 (+.f64 #s(literal 0 binary64) (*.f64 (fma.f64 b b (fma.f64 a (*.f64 c #s(literal -4 binary64)) #s(literal 0 binary64))) (sqrt.f64 (fma.f64 b b (fma.f64 a (*.f64 c #s(literal -4 binary64)) #s(literal 0 binary64))))))) (neg.f64 (+.f64 #s(literal 0 binary64) (-.f64 (fma.f64 b b (fma.f64 a (*.f64 c #s(literal -4 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)))))
(pow.f64 (fma.f64 b b (fma.f64 a (*.f64 c #s(literal -4 binary64)) #s(literal 0 binary64))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 b b (fma.f64 a (*.f64 c #s(literal -4 binary64)) #s(literal 0 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 (fma.f64 b b (fma.f64 a (*.f64 c #s(literal -4 binary64)) #s(literal 0 binary64))) (fma.f64 b b (fma.f64 a (*.f64 c #s(literal -4 binary64)) #s(literal 0 binary64)))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (fma.f64 b b (fma.f64 a (*.f64 c #s(literal -4 binary64)) #s(literal 0 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) (*.f64 a c))) #s(literal -64 binary64) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (-.f64 (fma.f64 b b #s(literal 0 binary64)) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) (*.f64 a c))) #s(literal -64 binary64) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (-.f64 (fma.f64 b b #s(literal 0 binary64)) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64) (neg.f64 (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 b b #s(literal 0 binary64))))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64) (neg.f64 (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 b b #s(literal 0 binary64)))))))
(*.f64 (pow.f64 (fma.f64 b b (fma.f64 a (*.f64 c #s(literal -4 binary64)) #s(literal 0 binary64))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 b b (fma.f64 a (*.f64 c #s(literal -4 binary64)) #s(literal 0 binary64))) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 b b (fma.f64 a (*.f64 c #s(literal -4 binary64)) #s(literal 0 binary64))))) (sqrt.f64 (sqrt.f64 (fma.f64 b b (fma.f64 a (*.f64 c #s(literal -4 binary64)) #s(literal 0 binary64))))))
(*.f64 c #s(literal -4 binary64))
(*.f64 #s(literal -4 binary64) c)
(*.f64 a #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) a)
(/.f64 #s(literal -2 binary64) (/.f64 b c))
(/.f64 #s(literal 2 binary64) (neg.f64 (/.f64 b c)))
(/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 c #s(literal -2 binary64))))
(/.f64 (*.f64 c #s(literal -2 binary64)) b)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 b (*.f64 c #s(literal -2 binary64)))))
(/.f64 (neg.f64 (*.f64 c #s(literal -2 binary64))) (-.f64 #s(literal 0 binary64) b))
(/.f64 (*.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) c)) (-.f64 #s(literal 0 binary64) b))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) c) #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) b))
(/.f64 (neg.f64 (neg.f64 (*.f64 c #s(literal -2 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) b)))
(/.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) c))) (neg.f64 (-.f64 #s(literal 0 binary64) b)))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) c) #s(literal -2 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) b)))
(pow.f64 (/.f64 b (*.f64 c #s(literal -2 binary64))) #s(literal -1 binary64))
(*.f64 c (*.f64 (/.f64 #s(literal 1 binary64) b) #s(literal -2 binary64)))
(*.f64 c (/.f64 #s(literal -2 binary64) b))
(*.f64 #s(literal -2 binary64) (/.f64 c b))
(*.f64 (/.f64 c b) #s(literal -2 binary64))
(*.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) b))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 b b #s(literal 0 binary64)) c)) #s(literal -1 binary64)))
(neg.f64 (/.f64 c (-.f64 #s(literal 0 binary64) (fma.f64 b b #s(literal 0 binary64)))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) c) (fma.f64 b b #s(literal 0 binary64))))
(/.f64 c (fma.f64 b b #s(literal 0 binary64)))
(/.f64 (/.f64 c b) b)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b #s(literal 0 binary64)) c))
(/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 c b)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 b b #s(literal 0 binary64)) c) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (fma.f64 b b #s(literal 0 binary64)) c))))
(/.f64 (-.f64 #s(literal 0 binary64) c) (-.f64 #s(literal 0 binary64) (fma.f64 b b #s(literal 0 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 b b #s(literal 0 binary64)) c)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 b (/.f64 c b))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 0 binary64)) c) #s(literal 1 binary64))))
(/.f64 (*.f64 c #s(literal 1 binary64)) (fma.f64 b b #s(literal 0 binary64)))
(/.f64 (neg.f64 (/.f64 c b)) (-.f64 #s(literal 0 binary64) b))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) c)) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 b b #s(literal 0 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) c))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 b b #s(literal 0 binary64))))))
(/.f64 (neg.f64 (*.f64 c #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 b b #s(literal 0 binary64))))
(/.f64 (neg.f64 (neg.f64 (/.f64 c b))) (neg.f64 (-.f64 #s(literal 0 binary64) b)))
(pow.f64 (/.f64 (fma.f64 b b #s(literal 0 binary64)) c) #s(literal -1 binary64))
(pow.f64 (/.f64 b (/.f64 c b)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 0 binary64)) c) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 b c) b) #s(literal -1 binary64))
(*.f64 c (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal 0 binary64))))
(*.f64 (/.f64 c b) (/.f64 #s(literal 1 binary64) b))
(*.f64 #s(literal 1 binary64) (/.f64 c (fma.f64 b b #s(literal 0 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) c) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 b b #s(literal 0 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 c b))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal 0 binary64))) c)
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal 0 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) c) #s(literal -1 binary64)))
(*.f64 (/.f64 c (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)))
(*.f64 (/.f64 c (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 b b #s(literal 0 binary64)))

simplify606.0ms (4.9%)

Memory
29.7MiB live, 890.0MiB allocated
Algorithm
1×egg-herbie
Rules
13 542×accelerator-lowering-fma.f32
13 542×accelerator-lowering-fma.f64
9 404×*-lowering-*.f32
9 404×*-lowering-*.f64
5 212×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08669294
128259142
086758804
Stop Event
1×iter limit
1×node limit
Counts
648 → 648
Calls
Call 1
Inputs
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))
(* -1 (/ c b))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(/ (+ (* -1/2 b) (* 1/2 b)) a)
(/ (+ (* -1 (/ (* a c) b)) (+ (* -1/2 b) (* 1/2 b))) a)
(/ (+ (* -1/2 b) (+ (* 1/2 b) (* a (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))))) a)
(/ (+ (* -1/2 b) (+ (* 1/2 b) (* a (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))))) a)
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(+ (* -1/2 (/ b a)) (* 1/2 (/ b a)))
(+ (* -1 (/ c b)) (+ (* -1/2 (/ b a)) (* 1/2 (/ b a))))
(+ (* -1/2 (/ b a)) (+ (* 1/2 (/ b a)) (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))))
(+ (* -1/2 (/ b a)) (+ (* 1/2 (/ b a)) (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* 1/2 (/ b a))
(/ (+ (* -1 (/ (* a c) b)) (* 1/2 b)) a)
(/ (+ (* 1/2 b) (* a (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))))) a)
(/ (+ (* 1/2 b) (* a (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))))) a)
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/32 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))))
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(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -2 (/ (* a c) b))
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (* b (* c (+ (* 4 (/ (pow a 4) (pow b 8))) (* 16 (/ (pow a 4) (pow b 8)))))))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c)))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* (sqrt (* a c)) (sqrt -4))
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(* -2 (/ (* a c) b))
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
(* -2 (/ (* a c) b))
(* -1 (/ (+ (* 2 (* a c)) (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ (* 2 (* a c)) (+ (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))))) b))
(* -1 (/ (+ (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* 2 (* a c)) (+ (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4)))))) b))
1
(+ 1 (* -2 (/ (* a c) (pow b 2))))
(+ 1 (* a (+ (* -2 (/ c (pow b 2))) (* -2 (/ (* a (pow c 2)) (pow b 4))))))
(+ 1 (* a (+ (* -2 (/ c (pow b 2))) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 6))) (* -2 (/ (pow c 2) (pow b 4))))))))
(* (sqrt (* a c)) (/ (sqrt -4) b))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* (sqrt (/ c a)) (/ (sqrt -4) b))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 3) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* (sqrt (/ c a)) (/ (sqrt -4) b)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 3) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 5) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* (sqrt (/ c a)) (/ (sqrt -4) b))))))
(* -2 (* (sqrt (* a c)) (/ (sqrt -1) b)))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* b (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (/ (sqrt -1) b))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 3) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* b (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (/ (sqrt -1) b)))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 3) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 5) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* b (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (/ (sqrt -1) b))))))))
1
(+ 1 (* -2 (/ (* a c) (pow b 2))))
(+ 1 (* c (+ (* -2 (/ a (pow b 2))) (* -2 (/ (* (pow a 2) c) (pow b 4))))))
(+ 1 (* c (+ (* -2 (/ a (pow b 2))) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 6))) (* -2 (/ (pow a 2) (pow b 4))))))))
(* (sqrt (* a c)) (/ (sqrt -4) b))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ b (sqrt -4)))) (* (sqrt (/ a c)) (/ (sqrt -4) b))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 3) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ b (sqrt -4)))) (* (sqrt (/ a c)) (/ (sqrt -4) b)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 3) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 5) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ b (sqrt -4)))) (* (sqrt (/ a c)) (/ (sqrt -4) b))))))
(* -2 (* (sqrt (* a c)) (/ (sqrt -1) b)))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* b (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (/ (sqrt -1) b))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 3) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* b (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (/ (sqrt -1) b)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 3) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 5) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* b (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (/ (sqrt -1) b))))))))
(* (sqrt (* a c)) (/ (sqrt -4) b))
(/ (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4))) b)
(/ (+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))))) b)
(/ (+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5))))))))) b)
1
(+ 1 (* -2 (/ (* a c) (pow b 2))))
(+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))
(+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
1
(+ 1 (* -2 (/ (* a c) (pow b 2))))
(+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))
(+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
1
(+ 1 (* -4 (/ (* a c) (pow b 2))))
(+ 1 (* -4 (/ (* a c) (pow b 2))))
(+ 1 (* -4 (/ (* a c) (pow b 2))))
(* -4 (/ (* a c) (pow b 2)))
(* a (+ (* -4 (/ c (pow b 2))) (/ 1 a)))
(* a (+ (* -4 (/ c (pow b 2))) (/ 1 a)))
(* a (+ (* -4 (/ c (pow b 2))) (/ 1 a)))
(* -4 (/ (* a c) (pow b 2)))
(* -1 (* a (- (* 4 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* a (- (* 4 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* a (- (* 4 (/ c (pow b 2))) (/ 1 a))))
1
(+ 1 (* -4 (/ (* a c) (pow b 2))))
(+ 1 (* -4 (/ (* a c) (pow b 2))))
(+ 1 (* -4 (/ (* a c) (pow b 2))))
(* -4 (/ (* a c) (pow b 2)))
(* c (+ (* -4 (/ a (pow b 2))) (/ 1 c)))
(* c (+ (* -4 (/ a (pow b 2))) (/ 1 c)))
(* c (+ (* -4 (/ a (pow b 2))) (/ 1 c)))
(* -4 (/ (* a c) (pow b 2)))
(* -1 (* c (- (* 4 (/ a (pow b 2))) (/ 1 c))))
(* -1 (* c (- (* 4 (/ a (pow b 2))) (/ 1 c))))
(* -1 (* c (- (* 4 (/ a (pow b 2))) (/ 1 c))))
(* -4 (/ (* a c) (pow b 2)))
(/ (+ (* -4 (* a c)) (pow b 2)) (pow b 2))
(/ (+ (* -4 (* a c)) (pow b 2)) (pow b 2))
(/ (+ (* -4 (* a c)) (pow b 2)) (pow b 2))
1
(+ 1 (* -4 (/ (* a c) (pow b 2))))
(+ 1 (* -4 (/ (* a c) (pow b 2))))
(+ 1 (* -4 (/ (* a c) (pow b 2))))
1
(+ 1 (* -4 (/ (* a c) (pow b 2))))
(+ 1 (* -4 (/ (* a c) (pow b 2))))
(+ 1 (* -4 (/ (* a c) (pow b 2))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
(* (sqrt (* a c)) (sqrt -4))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))
b
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 b)
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -4 c)
(* -4 c)
(* -4 c)
(* -4 c)
(* -4 c)
(* -4 c)
(* -4 c)
(* -4 c)
(* -4 c)
(* -4 c)
(* -4 c)
(* -4 c)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* -2 (/ c b))
(* -2 (/ c b))
(* -2 (/ c b))
(* -2 (/ c b))
(* -2 (/ c b))
(* -2 (/ c b))
(* -2 (/ c b))
(* -2 (/ c b))
(* -2 (/ c b))
(* -2 (/ c b))
(* -2 (/ c b))
(* -2 (/ c b))
(* -2 (/ c b))
(* -2 (/ c b))
(* -2 (/ c b))
(* -2 (/ c b))
(* -2 (/ c b))
(* -2 (/ c b))
(* -2 (/ c b))
(* -2 (/ c b))
(* -2 (/ c b))
(* -2 (/ c b))
(* -2 (/ c b))
(* -2 (/ c b))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
Outputs
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 1/2 binary64)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 b a)))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(fma.f64 b (fma.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (/.f64 b (sqrt.f64 #s(literal -4 binary64)))) (/.f64 #s(literal -1/2 binary64) a)) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 1/2 binary64))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))
(fma.f64 b (fma.f64 b (fma.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 c (*.f64 c c))))) (*.f64 (/.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) #s(literal -1/16 binary64)))) (/.f64 #s(literal -1/2 binary64) a)) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 1/2 binary64))))
(* -1 (/ c b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c) (-.f64 #s(literal 0 binary64) b))
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 c (*.f64 c a)))) (pow.f64 b #s(literal 4 binary64))) (neg.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 c (*.f64 c a)))) (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 20 binary64))) (*.f64 a (pow.f64 b #s(literal 6 binary64)))) (neg.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c)))) b)
(* -1 (/ b a))
(/.f64 b (-.f64 #s(literal 0 binary64) a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b))) (-.f64 #s(literal 0 binary64) b))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(*.f64 (fma.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b)))) (-.f64 #s(literal 0 binary64) b))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(-.f64 #s(literal 0 binary64) (*.f64 b (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 c (*.f64 c a)))) (pow.f64 b #s(literal 6 binary64))) (fma.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b)))))))
(/ (+ (* -1/2 b) (* 1/2 b)) a)
(/.f64 #s(literal 0 binary64) a)
(/ (+ (* -1 (/ (* a c) b)) (+ (* -1/2 b) (* 1/2 b))) a)
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 c b) #s(literal 0 binary64)) a)
(/ (+ (* -1/2 b) (+ (* 1/2 b) (* a (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))))) a)
(/.f64 (fma.f64 a (neg.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))) (/.f64 c b))) #s(literal 0 binary64)) a)
(/ (+ (* -1/2 b) (+ (* 1/2 b) (* a (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))))) a)
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(*.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 c (*.f64 c c))))) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 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 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64))) #s(literal 1/16 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 b b)) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (sqrt.f64 (*.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -2 binary64)))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(*.f64 (fma.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)))) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) a))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(-.f64 #s(literal 0 binary64) (*.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 c (*.f64 c c))))) (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/64 binary64)) (fma.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)))) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
(*.f64 (-.f64 #s(literal 0 binary64) a) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 c (*.f64 c c))))) (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/64 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 (pow.f64 b #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/512 binary64)) (fma.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)))) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))
b
(+ b (* -2 (/ (* a c) b)))
(fma.f64 a (/.f64 (*.f64 #s(literal -2 binary64) c) b) b)
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(fma.f64 c (*.f64 #s(literal -2 binary64) (fma.f64 a (*.f64 a (/.f64 c (*.f64 b (*.f64 b b)))) (/.f64 a b))) b)
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(fma.f64 c (fma.f64 c (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -2 binary64)) b)) b)
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a)))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(*.f64 c (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 c (*.f64 c a))))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(*.f64 c (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64)))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 c (*.f64 c a))))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c))))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(*.f64 c (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64)))))) (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 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64))) #s(literal 1/16 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 c (*.f64 c a))))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c)))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (sqrt.f64 (*.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -2 binary64)))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(*.f64 (-.f64 #s(literal 0 binary64) c) (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 c (*.f64 c a)))))) (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(*.f64 (-.f64 #s(literal 0 binary64) c) (fma.f64 #s(literal -1/64 binary64) (*.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (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))))))) (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 c (*.f64 c a)))))) (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
(-.f64 #s(literal 0 binary64) (*.f64 c (fma.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64))))) #s(literal -1/64 binary64)) (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 (pow.f64 b #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/512 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 c (*.f64 c a)))))) (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))))
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a)))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 b b)) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))
(fma.f64 (*.f64 b b) (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 a (*.f64 c (*.f64 c a)))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -4 binary64))))) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))
(fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a)) (*.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 c (*.f64 c a))))))) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 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 -4 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 c a))) (sqrt.f64 #s(literal -4 binary64)))))))
b
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(*.f64 b (fma.f64 #s(literal -2 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal 1 binary64)))
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(*.f64 b (fma.f64 a (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 4 binary64))) (/.f64 c (*.f64 b b)))) #s(literal 1 binary64)))
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(*.f64 b (fma.f64 a (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 4 binary64))) (/.f64 c (*.f64 b b)))) (fma.f64 (*.f64 #s(literal -4 binary64) (*.f64 a (*.f64 a a))) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 6 binary64))) #s(literal 1 binary64))))
(* -1 b)
(-.f64 #s(literal 0 binary64) b)
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) b))
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(*.f64 (fma.f64 a (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 4 binary64))) (/.f64 c (*.f64 b b)))) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) b))
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(*.f64 (fma.f64 a (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 4 binary64))) (/.f64 c (*.f64 b b)))) (fma.f64 (*.f64 #s(literal -4 binary64) (*.f64 a (*.f64 a a))) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 6 binary64))) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) b))
(* -4 c)
(*.f64 c #s(literal -4 binary64))
(* -4 c)
(*.f64 c #s(literal -4 binary64))
(* -4 c)
(*.f64 c #s(literal -4 binary64))
(* -4 c)
(*.f64 c #s(literal -4 binary64))
(* -4 c)
(*.f64 c #s(literal -4 binary64))
(* -4 c)
(*.f64 c #s(literal -4 binary64))
(* -4 c)
(*.f64 c #s(literal -4 binary64))
(* -4 c)
(*.f64 c #s(literal -4 binary64))
(* -4 c)
(*.f64 c #s(literal -4 binary64))
(* -4 c)
(*.f64 c #s(literal -4 binary64))
(* -4 c)
(*.f64 c #s(literal -4 binary64))
(* -4 c)
(*.f64 c #s(literal -4 binary64))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* -2 (/ c b))
(/.f64 (*.f64 #s(literal -2 binary64) c) b)
(* -2 (/ c b))
(/.f64 (*.f64 #s(literal -2 binary64) c) b)
(* -2 (/ c b))
(/.f64 (*.f64 #s(literal -2 binary64) c) b)
(* -2 (/ c b))
(/.f64 (*.f64 #s(literal -2 binary64) c) b)
(* -2 (/ c b))
(/.f64 (*.f64 #s(literal -2 binary64) c) b)
(* -2 (/ c b))
(/.f64 (*.f64 #s(literal -2 binary64) c) b)
(* -2 (/ c b))
(/.f64 (*.f64 #s(literal -2 binary64) c) b)
(* -2 (/ c b))
(/.f64 (*.f64 #s(literal -2 binary64) c) b)
(* -2 (/ c b))
(/.f64 (*.f64 #s(literal -2 binary64) c) b)
(* -2 (/ c b))
(/.f64 (*.f64 #s(literal -2 binary64) c) b)
(* -2 (/ c b))
(/.f64 (*.f64 #s(literal -2 binary64) c) b)
(* -2 (/ c b))
(/.f64 (*.f64 #s(literal -2 binary64) c) b)
(* -2 (/ c b))
(/.f64 (*.f64 #s(literal -2 binary64) c) b)
(* -2 (/ c b))
(/.f64 (*.f64 #s(literal -2 binary64) c) b)
(* -2 (/ c b))
(/.f64 (*.f64 #s(literal -2 binary64) c) b)
(* -2 (/ c b))
(/.f64 (*.f64 #s(literal -2 binary64) c) b)
(* -2 (/ c b))
(/.f64 (*.f64 #s(literal -2 binary64) c) b)
(* -2 (/ c b))
(/.f64 (*.f64 #s(literal -2 binary64) c) b)
(* -2 (/ c b))
(/.f64 (*.f64 #s(literal -2 binary64) c) b)
(* -2 (/ c b))
(/.f64 (*.f64 #s(literal -2 binary64) c) b)
(* -2 (/ c b))
(/.f64 (*.f64 #s(literal -2 binary64) c) b)
(* -2 (/ c b))
(/.f64 (*.f64 #s(literal -2 binary64) c) b)
(* -2 (/ c b))
(/.f64 (*.f64 #s(literal -2 binary64) c) b)
(* -2 (/ c b))
(/.f64 (*.f64 #s(literal -2 binary64) c) b)
(/ c (pow b 2))
(/.f64 c (*.f64 b b))
(/ c (pow b 2))
(/.f64 c (*.f64 b b))
(/ c (pow b 2))
(/.f64 c (*.f64 b b))
(/ c (pow b 2))
(/.f64 c (*.f64 b b))
(/ c (pow b 2))
(/.f64 c (*.f64 b b))
(/ c (pow b 2))
(/.f64 c (*.f64 b b))
(/ c (pow b 2))
(/.f64 c (*.f64 b b))
(/ c (pow b 2))
(/.f64 c (*.f64 b b))
(/ c (pow b 2))
(/.f64 c (*.f64 b b))
(/ c (pow b 2))
(/.f64 c (*.f64 b b))
(/ c (pow b 2))
(/.f64 c (*.f64 b b))
(/ c (pow b 2))
(/.f64 c (*.f64 b b))
(/ c (pow b 2))
(/.f64 c (*.f64 b b))
(/ c (pow b 2))
(/.f64 c (*.f64 b b))
(/ c (pow b 2))
(/.f64 c (*.f64 b b))
(/ c (pow b 2))
(/.f64 c (*.f64 b b))
(/ c (pow b 2))
(/.f64 c (*.f64 b b))
(/ c (pow b 2))
(/.f64 c (*.f64 b b))
(/ c (pow b 2))
(/.f64 c (*.f64 b b))
(/ c (pow b 2))
(/.f64 c (*.f64 b b))
(/ c (pow b 2))
(/.f64 c (*.f64 b b))
(/ c (pow b 2))
(/.f64 c (*.f64 b b))
(/ c (pow b 2))
(/.f64 c (*.f64 b b))
(/ c (pow b 2))
(/.f64 c (*.f64 b b))

eval240.0ms (1.9%)

Memory
5.5MiB live, 416.1MiB allocated
Compiler

Compiled 51 286 to 4 556 computations (91.1% saved)

prune410.0ms (3.3%)

Memory
-14.6MiB live, 558.7MiB allocated
Pruning

49 alts after pruning (43 fresh and 6 done)

PrunedKeptTotal
New1 678181 696
Fresh52530
Picked325
Done145
Total1 687491 736
Accuracy
95.7%
Counts
1 736 → 49
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.8%
(fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 b b (fma.f64 a (*.f64 c #s(literal -4 binary64)) #s(literal 0 binary64))))) (/.f64 #s(literal -1/2 binary64) a)))
11.6%
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a (/.f64 c (fma.f64 b b #s(literal 0 binary64)))) #s(literal 1 binary64))) (/.f64 b (*.f64 a #s(literal 2 binary64))) (neg.f64 (/.f64 b (*.f64 a #s(literal 2 binary64)))))
31.5%
(fma.f64 b (/.f64 c (*.f64 b b)) (/.f64 b (-.f64 #s(literal 0 binary64) a)))
32.5%
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 c b) #s(literal 0 binary64)) a)
6.0%
(/.f64 (fma.f64 (sqrt.f64 (*.f64 b (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64)))) (sqrt.f64 b) (-.f64 #s(literal 0 binary64) b)) (*.f64 #s(literal 2 binary64) a))
24.1%
(/.f64 (fma.f64 b b (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))) (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))))) (*.f64 a #s(literal -2 binary64))))
32.4%
(/.f64 (/.f64 (-.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) (*.f64 b b)) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a))
18.0%
(/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 a #s(literal -4 binary64)) b) (/.f64 c b) #s(literal 1 binary64))) b) b) (*.f64 #s(literal 2 binary64) a))
16.1%
(/.f64 (-.f64 (*.f64 (sqrt.f64 (*.f64 a (*.f64 #s(literal -4 binary64) (/.f64 c (*.f64 b b))))) b) b) (*.f64 #s(literal 2 binary64) a))
✓53.2%
(/.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a))
48.6%
(/.f64 (-.f64 (sqrt.f64 (*.f64 c (fma.f64 b (/.f64 b c) (*.f64 a #s(literal -4 binary64))))) b) (*.f64 #s(literal 2 binary64) a))
34.4%
(/.f64 (-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))) b) (*.f64 #s(literal 2 binary64) a))
50.1%
(/.f64 (-.f64 (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64))))) b) (*.f64 #s(literal 2 binary64) a))
22.7%
(/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 b b) (*.f64 c (*.f64 a a))) (/.f64 #s(literal -1/4 binary64) a)) c)))) (*.f64 #s(literal 2 binary64) a))
34.1%
(/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 c a))))) (*.f64 #s(literal 2 binary64) a))
28.2%
(/.f64 (*.f64 (*.f64 c #s(literal 1/2 binary64)) (*.f64 a #s(literal -2 binary64))) (*.f64 a b))
30.2%
(/.f64 (*.f64 (*.f64 a c) (/.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 2 binary64) a))
31.5%
(/.f64 (*.f64 a (*.f64 #s(literal -2 binary64) (/.f64 c (*.f64 a #s(literal 2 binary64))))) b)
28.5%
(/.f64 (*.f64 a #s(literal -2 binary64)) (*.f64 b (/.f64 (*.f64 a #s(literal 2 binary64)) c)))
20.9%
(/.f64 b (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a a #s(literal 0 binary64))) a))
32.6%
(/.f64 b (neg.f64 a))
32.5%
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 #s(literal 0 binary64) b)))
35.4%
(/.f64 #s(literal 1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))))))
35.4%
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))))) a))
36.2%
(/.f64 #s(literal -1 binary64) (/.f64 b c))
31.4%
(-.f64 #s(literal 0 binary64) (*.f64 b (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b)))))
22.8%
(*.f64 (fma.f64 b b (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))))))
3.1%
(*.f64 (/.f64 (/.f64 c b) (/.f64 c b)) (/.f64 c b))
31.8%
(*.f64 (/.f64 (*.f64 a c) (*.f64 a #s(literal 2 binary64))) (/.f64 #s(literal -2 binary64) b))
✓27.4%
(*.f64 (/.f64 (*.f64 a #s(literal -2 binary64)) b) (*.f64 c (/.f64 #s(literal 1/2 binary64) a)))
27.4%
(*.f64 (/.f64 c (*.f64 b (*.f64 a #s(literal 2 binary64)))) (*.f64 a #s(literal -2 binary64)))
17.7%
(*.f64 (/.f64 b (-.f64 #s(literal 0 binary64) (fma.f64 a a #s(literal 0 binary64)))) a)
9.1%
(*.f64 (/.f64 b (-.f64 #s(literal 0 binary64) (*.f64 a (fma.f64 a a #s(literal 0 binary64))))) (fma.f64 a a #s(literal 0 binary64)))
✓11.0%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (fma.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64)) b)))
13.6%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (*.f64 a (/.f64 (*.f64 #s(literal -2 binary64) c) b))))
34.3%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))))
32.4%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (*.f64 a (/.f64 (*.f64 #s(literal 2 binary64) c) b)))
32.5%
(*.f64 (/.f64 #s(literal -1 binary64) a) b)
✓28.9%
(*.f64 (*.f64 a #s(literal -2 binary64)) (/.f64 (/.f64 c (*.f64 a #s(literal 2 binary64))) b))
26.9%
(*.f64 (*.f64 a #s(literal -2 binary64)) (*.f64 c (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 a #s(literal 2 binary64))))))
14.5%
(*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 b (*.f64 a #s(literal -2 binary64)))) #s(literal -1 binary64))) (*.f64 c (/.f64 #s(literal 1/2 binary64) a)))
36.5%
(*.f64 c (neg.f64 (/.f64 #s(literal 1 binary64) b)))
30.4%
(neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c) b))
36.6%
(neg.f64 (/.f64 (fma.f64 (/.f64 c b) (/.f64 c (/.f64 b a)) c) b))
✓29.7%
(neg.f64 (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) b))
9.6%
(neg.f64 (/.f64 (*.f64 c (*.f64 c a)) (*.f64 b (*.f64 b b))))
✓36.7%
(neg.f64 (/.f64 c b))
13.7%
(exp.f64 (*.f64 (log.f64 (/.f64 a (-.f64 #s(literal 0 binary64) b))) #s(literal -1 binary64)))
10.3%
#s(literal 0 binary64)
Compiler

Compiled 1 987 to 852 computations (57.1% saved)

regimes125.0ms (1%)

Memory
-4.1MiB live, 194.4MiB allocated
Counts
79 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
(neg.f64 (/.f64 c b))
(/.f64 b (neg.f64 a))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(/.f64 b (-.f64 #s(literal 0 binary64) a))
(*.f64 (/.f64 #s(literal -1 binary64) a) b)
(*.f64 c (neg.f64 (/.f64 #s(literal 1 binary64) b)))
(/.f64 (-.f64 b b) (*.f64 #s(literal 2 binary64) a))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (*.f64 b #s(literal 2 binary64)))
(/.f64 (+.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(literal -1 binary64) (/.f64 b c))
(*.f64 (/.f64 b (-.f64 #s(literal 0 binary64) (fma.f64 a a #s(literal 0 binary64)))) a)
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 #s(literal 0 binary64) b)))
(*.f64 (/.f64 c (*.f64 b (*.f64 a #s(literal 2 binary64)))) (*.f64 a #s(literal -2 binary64)))
(/.f64 b (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a a #s(literal 0 binary64))) a))
(/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) (*.f64 (*.f64 a #s(literal 2 binary64)) b))
(/.f64 (*.f64 (*.f64 c #s(literal 1/2 binary64)) (*.f64 a #s(literal -2 binary64))) (*.f64 a b))
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 c b) #s(literal 0 binary64)) a)
(neg.f64 (/.f64 (*.f64 c (*.f64 c a)) (*.f64 b (*.f64 b b))))
(*.f64 (*.f64 a #s(literal -2 binary64)) (*.f64 c (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 a #s(literal 2 binary64))))))
(*.f64 (/.f64 b (-.f64 #s(literal 0 binary64) (*.f64 a (fma.f64 a a #s(literal 0 binary64))))) (fma.f64 a a #s(literal 0 binary64)))
(fma.f64 b (/.f64 c (*.f64 b b)) (/.f64 b (-.f64 #s(literal 0 binary64) a)))
(*.f64 (*.f64 a #s(literal -2 binary64)) (/.f64 (/.f64 c (*.f64 a #s(literal 2 binary64))) b))
(*.f64 (*.f64 (/.f64 #s(literal -2 binary64) b) a) (*.f64 c (/.f64 #s(literal 1/2 binary64) a)))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (*.f64 a (/.f64 (*.f64 #s(literal 2 binary64) c) b)))
(*.f64 (/.f64 (*.f64 a #s(literal -2 binary64)) b) (*.f64 c (/.f64 #s(literal 1/2 binary64) a)))
(*.f64 (/.f64 (*.f64 a c) (*.f64 a #s(literal 2 binary64))) (/.f64 #s(literal -2 binary64) b))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 a (*.f64 a c)) #s(literal -1 binary64)) b))
(/.f64 (*.f64 a #s(literal -2 binary64)) (*.f64 b (/.f64 (*.f64 a #s(literal 2 binary64)) c)))
(/.f64 (*.f64 a (*.f64 #s(literal -2 binary64) (/.f64 c (*.f64 a #s(literal 2 binary64))))) b)
(/.f64 (*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b)) (*.f64 #s(literal 2 binary64) a))
(/.f64 (*.f64 (*.f64 a c) (/.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 2 binary64) a))
(/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) b)) a)
(-.f64 #s(literal 0 binary64) (*.f64 b (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b)))))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))))
(/.f64 (-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) b) (*.f64 #s(literal 2 binary64) a))
(/.f64 (-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))) b) (*.f64 #s(literal 2 binary64) a))
(neg.f64 (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) b))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (*.f64 a (/.f64 (*.f64 #s(literal -2 binary64) c) b))))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (fma.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64)) b)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (+.f64 (neg.f64 b) (fma.f64 a (*.f64 #s(literal -2 binary64) (/.f64 c b)) b)) (*.f64 #s(literal 2 binary64) a))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a))
(neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c) b))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))))))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))) b) (*.f64 #s(literal 2 binary64) a))
(*.f64 (/.f64 (/.f64 c b) (/.f64 c b)) (/.f64 c b))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a))
(neg.f64 (/.f64 (fma.f64 (/.f64 c b) (/.f64 c (/.f64 b a)) c) b))
(/.f64 #s(literal 1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))))))
(/.f64 (-.f64 (sqrt.f64 (*.f64 c (fma.f64 a #s(literal -4 binary64) (/.f64 (*.f64 b b) c)))) b) (*.f64 #s(literal 2 binary64) a))
(/.f64 (-.f64 (sqrt.f64 (*.f64 c (fma.f64 b (/.f64 b c) (*.f64 a #s(literal -4 binary64))))) b) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))))) a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (fma.f64 a #s(literal -4 binary64) (/.f64 (*.f64 b b) c))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 c a))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (-.f64 (*.f64 (sqrt.f64 (*.f64 a (*.f64 #s(literal -4 binary64) (/.f64 c (*.f64 b b))))) b) b) (*.f64 #s(literal 2 binary64) a))
(/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64))) b) b) (*.f64 #s(literal 2 binary64) a))
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64))) b (-.f64 #s(literal 0 binary64) b)) (*.f64 #s(literal 2 binary64) a))
(fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 b b (fma.f64 a (*.f64 c #s(literal -4 binary64)) #s(literal 0 binary64))))) (/.f64 #s(literal -1/2 binary64) a)))
(/.f64 (-.f64 (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64))))) b) (*.f64 #s(literal 2 binary64) a))
(fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))))) (/.f64 #s(literal -1/2 binary64) a)))
(/.f64 (-.f64 (sqrt.f64 (*.f64 (*.f64 b b) (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64)))) b) (*.f64 #s(literal 2 binary64) a))
(/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 a #s(literal -4 binary64)) b) (/.f64 c b) #s(literal 1 binary64))) b) b) (*.f64 #s(literal 2 binary64) a))
(/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (fma.f64 b b (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))) (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))))) (*.f64 a #s(literal -2 binary64))))
(/.f64 (fma.f64 (sqrt.f64 (*.f64 b (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64)))) (sqrt.f64 b) (-.f64 #s(literal 0 binary64) b)) (*.f64 #s(literal 2 binary64) a))
(*.f64 (fma.f64 b b (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))) (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 #s(literal 2 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))))))))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a (/.f64 c (fma.f64 b b #s(literal 0 binary64)))) #s(literal 1 binary64))) (/.f64 b (*.f64 a #s(literal 2 binary64))) (neg.f64 (/.f64 b (*.f64 a #s(literal 2 binary64)))))
(*.f64 (fma.f64 b b (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))))))
(/.f64 (/.f64 (-.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) (*.f64 b b)) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (/.f64 (-.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))) (fma.f64 b b #s(literal 0 binary64))) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))))) (*.f64 #s(literal 2 binary64) a))
(fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64))) #s(literal 2 binary64)) (/.f64 b a) (neg.f64 (/.f64 b (*.f64 a #s(literal 2 binary64)))))
(/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 b b) (*.f64 c (*.f64 a a))) (/.f64 #s(literal -1/4 binary64) a)) c)))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (-.f64 (/.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))))) (/.f64 (fma.f64 b b #s(literal 0 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))))))) (*.f64 #s(literal 2 binary64) a))
(*.f64 c (fma.f64 c (fma.f64 (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 c #s(literal -2 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1 binary64) b)))
(exp.f64 (*.f64 (log.f64 (/.f64 a (-.f64 #s(literal 0 binary64) b))) #s(literal -1 binary64)))
(*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 b (*.f64 a #s(literal -2 binary64)))) #s(literal -1 binary64))) (*.f64 c (/.f64 #s(literal 1/2 binary64) a)))
(/.f64 (*.f64 c (exp.f64 (*.f64 (log.f64 (/.f64 b (*.f64 a #s(literal -2 binary64)))) #s(literal -1 binary64)))) (*.f64 #s(literal 2 binary64) a))
(*.f64 (/.f64 (pow.f64 (/.f64 c b) #s(literal 3/2 binary64)) (*.f64 c c)) (/.f64 (pow.f64 (/.f64 c b) #s(literal 3/2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal 0 binary64)))))
Outputs
(/.f64 (-.f64 (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64))))) b) (*.f64 #s(literal 2 binary64) a))
(/.f64 (-.f64 (sqrt.f64 (*.f64 c (fma.f64 a #s(literal -4 binary64) (/.f64 (*.f64 b b) c)))) b) (*.f64 #s(literal 2 binary64) a))
(neg.f64 (/.f64 c b))
Calls

4 calls:

40.0ms
a
23.0ms
b
22.0ms
c
22.0ms
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a))
Results
AccuracySegmentsBranch
57.4%2a
89.6%3b
56.8%3c
85.0%5(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a))
Compiler

Compiled 32 to 23 computations (28.1% saved)

regimes21.0ms (0.2%)

Memory
12.4MiB live, 50.3MiB allocated
Counts
59 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
(neg.f64 (/.f64 c b))
(/.f64 b (neg.f64 a))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(/.f64 b (-.f64 #s(literal 0 binary64) a))
(*.f64 (/.f64 #s(literal -1 binary64) a) b)
(*.f64 c (neg.f64 (/.f64 #s(literal 1 binary64) b)))
(/.f64 (-.f64 b b) (*.f64 #s(literal 2 binary64) a))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (*.f64 b #s(literal 2 binary64)))
(/.f64 (+.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(literal -1 binary64) (/.f64 b c))
(*.f64 (/.f64 b (-.f64 #s(literal 0 binary64) (fma.f64 a a #s(literal 0 binary64)))) a)
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 #s(literal 0 binary64) b)))
(*.f64 (/.f64 c (*.f64 b (*.f64 a #s(literal 2 binary64)))) (*.f64 a #s(literal -2 binary64)))
(/.f64 b (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a a #s(literal 0 binary64))) a))
(/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) (*.f64 (*.f64 a #s(literal 2 binary64)) b))
(/.f64 (*.f64 (*.f64 c #s(literal 1/2 binary64)) (*.f64 a #s(literal -2 binary64))) (*.f64 a b))
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 c b) #s(literal 0 binary64)) a)
(neg.f64 (/.f64 (*.f64 c (*.f64 c a)) (*.f64 b (*.f64 b b))))
(*.f64 (*.f64 a #s(literal -2 binary64)) (*.f64 c (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 a #s(literal 2 binary64))))))
(*.f64 (/.f64 b (-.f64 #s(literal 0 binary64) (*.f64 a (fma.f64 a a #s(literal 0 binary64))))) (fma.f64 a a #s(literal 0 binary64)))
(fma.f64 b (/.f64 c (*.f64 b b)) (/.f64 b (-.f64 #s(literal 0 binary64) a)))
(*.f64 (*.f64 a #s(literal -2 binary64)) (/.f64 (/.f64 c (*.f64 a #s(literal 2 binary64))) b))
(*.f64 (*.f64 (/.f64 #s(literal -2 binary64) b) a) (*.f64 c (/.f64 #s(literal 1/2 binary64) a)))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (*.f64 a (/.f64 (*.f64 #s(literal 2 binary64) c) b)))
(*.f64 (/.f64 (*.f64 a #s(literal -2 binary64)) b) (*.f64 c (/.f64 #s(literal 1/2 binary64) a)))
(*.f64 (/.f64 (*.f64 a c) (*.f64 a #s(literal 2 binary64))) (/.f64 #s(literal -2 binary64) b))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 a (*.f64 a c)) #s(literal -1 binary64)) b))
(/.f64 (*.f64 a #s(literal -2 binary64)) (*.f64 b (/.f64 (*.f64 a #s(literal 2 binary64)) c)))
(/.f64 (*.f64 a (*.f64 #s(literal -2 binary64) (/.f64 c (*.f64 a #s(literal 2 binary64))))) b)
(/.f64 (*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b)) (*.f64 #s(literal 2 binary64) a))
(/.f64 (*.f64 (*.f64 a c) (/.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 2 binary64) a))
(/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) b)) a)
(-.f64 #s(literal 0 binary64) (*.f64 b (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b)))))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))))
(/.f64 (-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) b) (*.f64 #s(literal 2 binary64) a))
(/.f64 (-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))) b) (*.f64 #s(literal 2 binary64) a))
(neg.f64 (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) b))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (*.f64 a (/.f64 (*.f64 #s(literal -2 binary64) c) b))))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (fma.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64)) b)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (+.f64 (neg.f64 b) (fma.f64 a (*.f64 #s(literal -2 binary64) (/.f64 c b)) b)) (*.f64 #s(literal 2 binary64) a))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a))
(neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c) b))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))))))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))) b) (*.f64 #s(literal 2 binary64) a))
(*.f64 (/.f64 (/.f64 c b) (/.f64 c b)) (/.f64 c b))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a))
(neg.f64 (/.f64 (fma.f64 (/.f64 c b) (/.f64 c (/.f64 b a)) c) b))
(/.f64 #s(literal 1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))))))
(/.f64 (-.f64 (sqrt.f64 (*.f64 c (fma.f64 a #s(literal -4 binary64) (/.f64 (*.f64 b b) c)))) b) (*.f64 #s(literal 2 binary64) a))
(/.f64 (-.f64 (sqrt.f64 (*.f64 c (fma.f64 b (/.f64 b c) (*.f64 a #s(literal -4 binary64))))) b) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))))) a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (fma.f64 a #s(literal -4 binary64) (/.f64 (*.f64 b b) c))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 c a))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (-.f64 (*.f64 (sqrt.f64 (*.f64 a (*.f64 #s(literal -4 binary64) (/.f64 c (*.f64 b b))))) b) b) (*.f64 #s(literal 2 binary64) a))
(/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64))) b) b) (*.f64 #s(literal 2 binary64) a))
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64))) b (-.f64 #s(literal 0 binary64) b)) (*.f64 #s(literal 2 binary64) a))
(fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 b b (fma.f64 a (*.f64 c #s(literal -4 binary64)) #s(literal 0 binary64))))) (/.f64 #s(literal -1/2 binary64) a)))
Outputs
(/.f64 b (neg.f64 a))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a))
(neg.f64 (/.f64 c b))
Calls

1 calls:

18.0ms
b
Results
AccuracySegmentsBranch
89.2%3b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes51.0ms (0.4%)

Memory
-9.4MiB live, 29.3MiB allocated
Counts
42 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
(neg.f64 (/.f64 c b))
(/.f64 b (neg.f64 a))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(/.f64 b (-.f64 #s(literal 0 binary64) a))
(*.f64 (/.f64 #s(literal -1 binary64) a) b)
(*.f64 c (neg.f64 (/.f64 #s(literal 1 binary64) b)))
(/.f64 (-.f64 b b) (*.f64 #s(literal 2 binary64) a))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (*.f64 b #s(literal 2 binary64)))
(/.f64 (+.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(literal -1 binary64) (/.f64 b c))
(*.f64 (/.f64 b (-.f64 #s(literal 0 binary64) (fma.f64 a a #s(literal 0 binary64)))) a)
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 #s(literal 0 binary64) b)))
(*.f64 (/.f64 c (*.f64 b (*.f64 a #s(literal 2 binary64)))) (*.f64 a #s(literal -2 binary64)))
(/.f64 b (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a a #s(literal 0 binary64))) a))
(/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) (*.f64 (*.f64 a #s(literal 2 binary64)) b))
(/.f64 (*.f64 (*.f64 c #s(literal 1/2 binary64)) (*.f64 a #s(literal -2 binary64))) (*.f64 a b))
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 c b) #s(literal 0 binary64)) a)
(neg.f64 (/.f64 (*.f64 c (*.f64 c a)) (*.f64 b (*.f64 b b))))
(*.f64 (*.f64 a #s(literal -2 binary64)) (*.f64 c (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 a #s(literal 2 binary64))))))
(*.f64 (/.f64 b (-.f64 #s(literal 0 binary64) (*.f64 a (fma.f64 a a #s(literal 0 binary64))))) (fma.f64 a a #s(literal 0 binary64)))
(fma.f64 b (/.f64 c (*.f64 b b)) (/.f64 b (-.f64 #s(literal 0 binary64) a)))
(*.f64 (*.f64 a #s(literal -2 binary64)) (/.f64 (/.f64 c (*.f64 a #s(literal 2 binary64))) b))
(*.f64 (*.f64 (/.f64 #s(literal -2 binary64) b) a) (*.f64 c (/.f64 #s(literal 1/2 binary64) a)))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (*.f64 a (/.f64 (*.f64 #s(literal 2 binary64) c) b)))
(*.f64 (/.f64 (*.f64 a #s(literal -2 binary64)) b) (*.f64 c (/.f64 #s(literal 1/2 binary64) a)))
(*.f64 (/.f64 (*.f64 a c) (*.f64 a #s(literal 2 binary64))) (/.f64 #s(literal -2 binary64) b))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 a (*.f64 a c)) #s(literal -1 binary64)) b))
(/.f64 (*.f64 a #s(literal -2 binary64)) (*.f64 b (/.f64 (*.f64 a #s(literal 2 binary64)) c)))
(/.f64 (*.f64 a (*.f64 #s(literal -2 binary64) (/.f64 c (*.f64 a #s(literal 2 binary64))))) b)
(/.f64 (*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b)) (*.f64 #s(literal 2 binary64) a))
(/.f64 (*.f64 (*.f64 a c) (/.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 2 binary64) a))
(/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) b)) a)
(-.f64 #s(literal 0 binary64) (*.f64 b (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b)))))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))))
(/.f64 (-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) b) (*.f64 #s(literal 2 binary64) a))
(/.f64 (-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))) b) (*.f64 #s(literal 2 binary64) a))
(neg.f64 (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) b))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (*.f64 a (/.f64 (*.f64 #s(literal -2 binary64) c) b))))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (fma.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64)) b)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (+.f64 (neg.f64 b) (fma.f64 a (*.f64 #s(literal -2 binary64) (/.f64 c b)) b)) (*.f64 #s(literal 2 binary64) a))
Outputs
(fma.f64 b (/.f64 c (*.f64 b b)) (/.f64 b (-.f64 #s(literal 0 binary64) a)))
(/.f64 (-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) b) (*.f64 #s(literal 2 binary64) a))
(neg.f64 (/.f64 c b))
Calls

1 calls:

48.0ms
b
Results
AccuracySegmentsBranch
84.2%3b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes12.0ms (0.1%)

Memory
29.3MiB live, 29.3MiB allocated
Counts
35 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
(neg.f64 (/.f64 c b))
(/.f64 b (neg.f64 a))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(/.f64 b (-.f64 #s(literal 0 binary64) a))
(*.f64 (/.f64 #s(literal -1 binary64) a) b)
(*.f64 c (neg.f64 (/.f64 #s(literal 1 binary64) b)))
(/.f64 (-.f64 b b) (*.f64 #s(literal 2 binary64) a))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (*.f64 b #s(literal 2 binary64)))
(/.f64 (+.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(literal -1 binary64) (/.f64 b c))
(*.f64 (/.f64 b (-.f64 #s(literal 0 binary64) (fma.f64 a a #s(literal 0 binary64)))) a)
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 #s(literal 0 binary64) b)))
(*.f64 (/.f64 c (*.f64 b (*.f64 a #s(literal 2 binary64)))) (*.f64 a #s(literal -2 binary64)))
(/.f64 b (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a a #s(literal 0 binary64))) a))
(/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) (*.f64 (*.f64 a #s(literal 2 binary64)) b))
(/.f64 (*.f64 (*.f64 c #s(literal 1/2 binary64)) (*.f64 a #s(literal -2 binary64))) (*.f64 a b))
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 c b) #s(literal 0 binary64)) a)
(neg.f64 (/.f64 (*.f64 c (*.f64 c a)) (*.f64 b (*.f64 b b))))
(*.f64 (*.f64 a #s(literal -2 binary64)) (*.f64 c (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 a #s(literal 2 binary64))))))
(*.f64 (/.f64 b (-.f64 #s(literal 0 binary64) (*.f64 a (fma.f64 a a #s(literal 0 binary64))))) (fma.f64 a a #s(literal 0 binary64)))
(fma.f64 b (/.f64 c (*.f64 b b)) (/.f64 b (-.f64 #s(literal 0 binary64) a)))
(*.f64 (*.f64 a #s(literal -2 binary64)) (/.f64 (/.f64 c (*.f64 a #s(literal 2 binary64))) b))
(*.f64 (*.f64 (/.f64 #s(literal -2 binary64) b) a) (*.f64 c (/.f64 #s(literal 1/2 binary64) a)))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (*.f64 a (/.f64 (*.f64 #s(literal 2 binary64) c) b)))
(*.f64 (/.f64 (*.f64 a #s(literal -2 binary64)) b) (*.f64 c (/.f64 #s(literal 1/2 binary64) a)))
(*.f64 (/.f64 (*.f64 a c) (*.f64 a #s(literal 2 binary64))) (/.f64 #s(literal -2 binary64) b))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 a (*.f64 a c)) #s(literal -1 binary64)) b))
(/.f64 (*.f64 a #s(literal -2 binary64)) (*.f64 b (/.f64 (*.f64 a #s(literal 2 binary64)) c)))
(/.f64 (*.f64 a (*.f64 #s(literal -2 binary64) (/.f64 c (*.f64 a #s(literal 2 binary64))))) b)
(/.f64 (*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b)) (*.f64 #s(literal 2 binary64) a))
(/.f64 (*.f64 (*.f64 a c) (/.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 2 binary64) a))
(/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) b)) a)
(-.f64 #s(literal 0 binary64) (*.f64 b (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b)))))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))))
Outputs
(fma.f64 b (/.f64 c (*.f64 b b)) (/.f64 b (-.f64 #s(literal 0 binary64) a)))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))))
(neg.f64 (/.f64 c b))
Calls

1 calls:

10.0ms
b
Results
AccuracySegmentsBranch
84.1%3b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes33.0ms (0.3%)

Memory
-82.5MiB live, 47.9MiB allocated
Counts
34 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
(neg.f64 (/.f64 c b))
(/.f64 b (neg.f64 a))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(/.f64 b (-.f64 #s(literal 0 binary64) a))
(*.f64 (/.f64 #s(literal -1 binary64) a) b)
(*.f64 c (neg.f64 (/.f64 #s(literal 1 binary64) b)))
(/.f64 (-.f64 b b) (*.f64 #s(literal 2 binary64) a))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (*.f64 b #s(literal 2 binary64)))
(/.f64 (+.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(literal -1 binary64) (/.f64 b c))
(*.f64 (/.f64 b (-.f64 #s(literal 0 binary64) (fma.f64 a a #s(literal 0 binary64)))) a)
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 #s(literal 0 binary64) b)))
(*.f64 (/.f64 c (*.f64 b (*.f64 a #s(literal 2 binary64)))) (*.f64 a #s(literal -2 binary64)))
(/.f64 b (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a a #s(literal 0 binary64))) a))
(/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) (*.f64 (*.f64 a #s(literal 2 binary64)) b))
(/.f64 (*.f64 (*.f64 c #s(literal 1/2 binary64)) (*.f64 a #s(literal -2 binary64))) (*.f64 a b))
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 c b) #s(literal 0 binary64)) a)
(neg.f64 (/.f64 (*.f64 c (*.f64 c a)) (*.f64 b (*.f64 b b))))
(*.f64 (*.f64 a #s(literal -2 binary64)) (*.f64 c (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 a #s(literal 2 binary64))))))
(*.f64 (/.f64 b (-.f64 #s(literal 0 binary64) (*.f64 a (fma.f64 a a #s(literal 0 binary64))))) (fma.f64 a a #s(literal 0 binary64)))
(fma.f64 b (/.f64 c (*.f64 b b)) (/.f64 b (-.f64 #s(literal 0 binary64) a)))
(*.f64 (*.f64 a #s(literal -2 binary64)) (/.f64 (/.f64 c (*.f64 a #s(literal 2 binary64))) b))
(*.f64 (*.f64 (/.f64 #s(literal -2 binary64) b) a) (*.f64 c (/.f64 #s(literal 1/2 binary64) a)))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (*.f64 a (/.f64 (*.f64 #s(literal 2 binary64) c) b)))
(*.f64 (/.f64 (*.f64 a #s(literal -2 binary64)) b) (*.f64 c (/.f64 #s(literal 1/2 binary64) a)))
(*.f64 (/.f64 (*.f64 a c) (*.f64 a #s(literal 2 binary64))) (/.f64 #s(literal -2 binary64) b))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 a (*.f64 a c)) #s(literal -1 binary64)) b))
(/.f64 (*.f64 a #s(literal -2 binary64)) (*.f64 b (/.f64 (*.f64 a #s(literal 2 binary64)) c)))
(/.f64 (*.f64 a (*.f64 #s(literal -2 binary64) (/.f64 c (*.f64 a #s(literal 2 binary64))))) b)
(/.f64 (*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b)) (*.f64 #s(literal 2 binary64) a))
(/.f64 (*.f64 (*.f64 a c) (/.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 2 binary64) a))
(/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) b)) a)
(-.f64 #s(literal 0 binary64) (*.f64 b (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b)))))
Outputs
(/.f64 b (neg.f64 a))
(neg.f64 (/.f64 c b))
Calls

2 calls:

19.0ms
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a))
11.0ms
b
Results
AccuracySegmentsBranch
52.2%3(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a))
66.6%2b
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes7.0ms (0.1%)

Memory
13.1MiB live, 13.1MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
(neg.f64 (/.f64 c b))
Outputs
(neg.f64 (/.f64 c b))
Calls

4 calls:

2.0ms
b
2.0ms
a
2.0ms
c
1.0ms
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a))
Results
AccuracySegmentsBranch
36.7%1(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a))
36.7%1c
36.7%1a
36.7%1b
Compiler

Compiled 32 to 23 computations (28.1% saved)

regimes5.0ms (0%)

Memory
14.0MiB live, 14.0MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
Outputs
#s(literal 0 binary64)
Calls

4 calls:

1.0ms
b
1.0ms
c
1.0ms
a
1.0ms
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a))
Results
AccuracySegmentsBranch
10.3%1b
10.3%1a
10.3%1(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a))
10.3%1c
Compiler

Compiled 32 to 23 computations (28.1% saved)

bsearch49.0ms (0.4%)

Memory
-21.4MiB live, 93.8MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
26.0ms
3.415651182452019e-122
1.0434910881928905e-109
15.0ms
-7.354856232231122e+27
-1.3363863835034208e+26
Samples
19.0ms230×0valid
4.0ms30×1valid
4.0ms51×0invalid
3.0ms9×2valid
1.0ms3×3valid
Compiler

Compiled 628 to 437 computations (30.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-mult: 8.0ms (40.6% of total)
ival-div: 3.0ms (15.2% of total)
ival-sqrt: 3.0ms (15.2% of total)
ival-sub: 2.0ms (10.1% of total)
ival-neg: 2.0ms (10.1% of total)
ival-add: 2.0ms (10.1% of total)
adjust: 1.0ms (5.1% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch53.0ms (0.4%)

Memory
30.4MiB live, 73.0MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
31.0ms
3.415651182452019e-122
1.0434910881928905e-109
16.0ms
-1.2875682441408136e+163
-2.3630813348305227e+154
Samples
20.0ms262×0valid
8.0ms53×0invalid
4.0ms26×1valid
2.0ms9×2valid
2.0ms7×3valid
Compiler

Compiled 536 to 381 computations (28.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-mult: 8.0ms (31.4% of total)
ival-sub: 6.0ms (23.5% of total)
ival-div: 3.0ms (11.8% of total)
ival-sqrt: 3.0ms (11.8% of total)
ival-neg: 2.0ms (7.8% of total)
ival-add: 2.0ms (7.8% of total)
adjust: 1.0ms (3.9% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch78.0ms (0.6%)

Memory
-1.4MiB live, 75.4MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
35.0ms
3.415651182452019e-122
1.0434910881928905e-109
36.0ms
-1.31159358563873e-21
-5.763491770037574e-27
Samples
38.0ms268×0valid
7.0ms90×0invalid
3.0ms21×1valid
3.0ms14×2valid
0.0ms1×3valid
Compiler

Compiled 551 to 398 computations (27.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-mult: 9.0ms (38.8% of total)
ival-div: 3.0ms (12.9% of total)
ival-sqrt: 3.0ms (12.9% of total)
ival-sub: 2.0ms (8.6% of total)
ival-neg: 2.0ms (8.6% of total)
ival-add: 2.0ms (8.6% of total)
adjust: 1.0ms (4.3% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch109.0ms (0.9%)

Memory
-18.2MiB live, 61.5MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
41.0ms
3.415651182452019e-122
1.0434910881928905e-109
61.0ms
-1.31159358563873e-21
-5.763491770037574e-27
Samples
36.0ms268×0valid
6.0ms74×0invalid
4.0ms27×1valid
1.0ms7×2valid
0.0ms1×4valid
0.0ms1×3valid
Compiler

Compiled 551 to 398 computations (27.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 37.0ms
ival-mult: 24.0ms (64.7% of total)
ival-div: 3.0ms (8.1% of total)
ival-sqrt: 3.0ms (8.1% of total)
ival-sub: 2.0ms (5.4% of total)
ival-neg: 2.0ms (5.4% of total)
ival-add: 2.0ms (5.4% of total)
adjust: 1.0ms (2.7% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch54.0ms (0.4%)

Memory
9.6MiB live, 46.7MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
51.0ms
5.126250422297763e-286
2.5879929875916356e-269
Samples
37.0ms160×0valid
7.0ms87×0invalid
Compiler

Compiled 183 to 140 computations (23.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-mult: 6.0ms (47.3% of total)
ival-div: 2.0ms (15.8% of total)
ival-sqrt: 2.0ms (15.8% of total)
ival-add: 1.0ms (7.9% of total)
ival-sub: 1.0ms (7.9% of total)
ival-neg: 1.0ms (7.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

simplify41.0ms (0.3%)

Memory
-18.9MiB live, 19.7MiB allocated
Algorithm
1×egg-herbie
Rules
26×*-commutative_binary64
22×+-commutative_binary64
22×sub-neg_binary64
12×neg-sub0_binary64
12×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068167
198167
2117167
3126167
4130167
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 b #s(literal -149999999999999998557159424 binary64)) (/.f64 (-.f64 (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64))))) b) (*.f64 #s(literal 2 binary64) a)) (if (<=.f64 b #s(literal 8799977056535789/84615164005151820665845159428194693098035799419427996068435045795123941278247852265624218936283556460491675139202989862944768 binary64)) (/.f64 (-.f64 (sqrt.f64 (*.f64 c (fma.f64 a #s(literal -4 binary64) (/.f64 (*.f64 b b) c)))) b) (*.f64 #s(literal 2 binary64) a)) (neg.f64 (/.f64 c b))))
(if (<=.f64 b #s(literal -24000000000000001482167379456358601721548095013475766827117671200212259765030098202099336285788558774687336953564471308931066507892229133162056516036984832 binary64)) (/.f64 b (neg.f64 a)) (if (<=.f64 b #s(literal 8799977056535789/84615164005151820665845159428194693098035799419427996068435045795123941278247852265624218936283556460491675139202989862944768 binary64)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) (neg.f64 (/.f64 c b))))
(if (<=.f64 b #s(literal -7491656590131381/174224571863520493293247799005065324265472 binary64)) (fma.f64 b (/.f64 c (*.f64 b b)) (/.f64 b (-.f64 #s(literal 0 binary64) a))) (if (<=.f64 b #s(literal 5323525812711965/88725430211866075506509253892578678509965986412026130405455346579667881849780019937279180995332466499116518750764914298527173050368 binary64)) (/.f64 (-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) b) (*.f64 #s(literal 2 binary64) a)) (neg.f64 (/.f64 c b))))
(if (<=.f64 b #s(literal -6097860015223217/348449143727040986586495598010130648530944 binary64)) (fma.f64 b (/.f64 c (*.f64 b b)) (/.f64 b (-.f64 #s(literal 0 binary64) a))) (if (<=.f64 b #s(literal 465383402028335/10576895500643977583230644928524336637254474927428499508554380724390492659780981533203027367035444557561459392400373732868096 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (neg.f64 (/.f64 c b))))
(if (<=.f64 b #s(literal 3884218701050219/669692879491417075592765655662501131600878007315958504652343992731469406953085076558248986759809911329746670573470716765741965803557696277249036098418660925245910485926514436588817162816398196367372136384565404686473871329212422972447846496629816432160699779855408885478776864478289024177325354254336 binary64)) (/.f64 b (neg.f64 a)) (neg.f64 (/.f64 c b)))
(neg.f64 (/.f64 c b))
#s(literal 0 binary64)
Outputs
(if (<=.f64 b #s(literal -149999999999999998557159424 binary64)) (/.f64 (-.f64 (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64))))) b) (*.f64 #s(literal 2 binary64) a)) (if (<=.f64 b #s(literal 8799977056535789/84615164005151820665845159428194693098035799419427996068435045795123941278247852265624218936283556460491675139202989862944768 binary64)) (/.f64 (-.f64 (sqrt.f64 (*.f64 c (fma.f64 a #s(literal -4 binary64) (/.f64 (*.f64 b b) c)))) b) (*.f64 #s(literal 2 binary64) a)) (neg.f64 (/.f64 c b))))
(if (<=.f64 b #s(literal -149999999999999998557159424 binary64)) (/.f64 (-.f64 (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64))))) b) (*.f64 a #s(literal 2 binary64))) (if (<=.f64 b #s(literal 8799977056535789/84615164005151820665845159428194693098035799419427996068435045795123941278247852265624218936283556460491675139202989862944768 binary64)) (/.f64 (-.f64 (sqrt.f64 (*.f64 c (fma.f64 a #s(literal -4 binary64) (/.f64 (*.f64 b b) c)))) b) (*.f64 a #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (/.f64 c b))))
(if (<=.f64 b #s(literal -24000000000000001482167379456358601721548095013475766827117671200212259765030098202099336285788558774687336953564471308931066507892229133162056516036984832 binary64)) (/.f64 b (neg.f64 a)) (if (<=.f64 b #s(literal 8799977056535789/84615164005151820665845159428194693098035799419427996068435045795123941278247852265624218936283556460491675139202989862944768 binary64)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) (neg.f64 (/.f64 c b))))
(if (<=.f64 b #s(literal -24000000000000001482167379456358601721548095013475766827117671200212259765030098202099336285788558774687336953564471308931066507892229133162056516036984832 binary64)) (/.f64 b (-.f64 #s(literal 0 binary64) a)) (if (<=.f64 b #s(literal 8799977056535789/84615164005151820665845159428194693098035799419427996068435045795123941278247852265624218936283556460491675139202989862944768 binary64)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) (*.f64 a #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (/.f64 c b))))
(if (<=.f64 b #s(literal -7491656590131381/174224571863520493293247799005065324265472 binary64)) (fma.f64 b (/.f64 c (*.f64 b b)) (/.f64 b (-.f64 #s(literal 0 binary64) a))) (if (<=.f64 b #s(literal 5323525812711965/88725430211866075506509253892578678509965986412026130405455346579667881849780019937279180995332466499116518750764914298527173050368 binary64)) (/.f64 (-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) b) (*.f64 #s(literal 2 binary64) a)) (neg.f64 (/.f64 c b))))
(if (<=.f64 b #s(literal -7491656590131381/174224571863520493293247799005065324265472 binary64)) (fma.f64 b (/.f64 c (*.f64 b b)) (/.f64 b (-.f64 #s(literal 0 binary64) a))) (if (<=.f64 b #s(literal 5323525812711965/88725430211866075506509253892578678509965986412026130405455346579667881849780019937279180995332466499116518750764914298527173050368 binary64)) (/.f64 (-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))) b) (*.f64 a #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (/.f64 c b))))
(if (<=.f64 b #s(literal -6097860015223217/348449143727040986586495598010130648530944 binary64)) (fma.f64 b (/.f64 c (*.f64 b b)) (/.f64 b (-.f64 #s(literal 0 binary64) a))) (if (<=.f64 b #s(literal 465383402028335/10576895500643977583230644928524336637254474927428499508554380724390492659780981533203027367035444557561459392400373732868096 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (neg.f64 (/.f64 c b))))
(if (<=.f64 b #s(literal -6097860015223217/348449143727040986586495598010130648530944 binary64)) (fma.f64 b (/.f64 c (*.f64 b b)) (/.f64 b (-.f64 #s(literal 0 binary64) a))) (if (<=.f64 b #s(literal 465383402028335/10576895500643977583230644928524336637254474927428499508554380724390492659780981533203027367035444557561459392400373732868096 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))))) (-.f64 #s(literal 0 binary64) (/.f64 c b))))
(if (<=.f64 b #s(literal 3884218701050219/669692879491417075592765655662501131600878007315958504652343992731469406953085076558248986759809911329746670573470716765741965803557696277249036098418660925245910485926514436588817162816398196367372136384565404686473871329212422972447846496629816432160699779855408885478776864478289024177325354254336 binary64)) (/.f64 b (neg.f64 a)) (neg.f64 (/.f64 c b)))
(if (<=.f64 b #s(literal 3884218701050219/669692879491417075592765655662501131600878007315958504652343992731469406953085076558248986759809911329746670573470716765741965803557696277249036098418660925245910485926514436588817162816398196367372136384565404686473871329212422972447846496629816432160699779855408885478776864478289024177325354254336 binary64)) (/.f64 b (-.f64 #s(literal 0 binary64) a)) (-.f64 #s(literal 0 binary64) (/.f64 c b)))
(neg.f64 (/.f64 c b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
#s(literal 0 binary64)

soundness1.4s (11.2%)

Memory
13.7MiB live, 1 090.6MiB allocated
Rules
13 542×accelerator-lowering-fma.f32
13 542×accelerator-lowering-fma.f64
11 458×accelerator-lowering-fma.f32
11 458×accelerator-lowering-fma.f64
9 404×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08669294
128259142
086758804
043205
1266205
22404205
09060193
033178
1199177
21853175
09134164
036203
1210200
21664197
08579186
01449
16847
252547
3685747
0815043
05453249
117383208
260833180
082433023
0102111074
1330510907
0864110455
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 528 to 309 computations (41.5% saved)

preprocess72.0ms (0.6%)

Memory
-7.1MiB live, 150.0MiB allocated
Compiler

Compiled 616 to 216 computations (64.9% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...