Quadratic roots, full range

Time bar (total: 11.4s)

analyze222.0ms (2%)

Memory
9.8MiB live, 243.0MiB 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)

sample1.7s (15.2%)

Memory
7.4MiB live, 3 016.5MiB allocated
Samples
471.0ms5 500×0valid
360.0ms1 237×2valid
234.0ms1 333×1valid
102.0ms931×0invalid
64.0ms186×3valid
Precisions
Click to see histograms. Total time spent on operations: 919.0ms
ival-mult: 321.0ms (34.9% of total)
ival-div: 180.0ms (19.6% of total)
ival-sqrt: 131.0ms (14.3% of total)
ival-neg: 76.0ms (8.3% of total)
ival-add: 72.0ms (7.8% of total)
adjust: 59.0ms (6.4% of total)
ival-sub: 59.0ms (6.4% of total)
exact: 10.0ms (1.1% of total)
ival-true: 8.0ms (0.9% of total)
ival-assert: 4.0ms (0.4% of total)
Bogosity

preprocess155.0ms (1.4%)

Memory
3.4MiB live, 164.1MiB allocated
Algorithm
2×egg-herbie
Rules
1 674×div-sub
1 120×accelerator-lowering-fma.f32
1 120×accelerator-lowering-fma.f64
1 048×sub-neg
796×associate-/r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058175
1170160
2474160
31250160
43323160
56278160
01417
13116
26816
315116
423116
537216
665416
7112216
8222516
9250916
10262616
11268116
12268216
13268216
14268816
0268815
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))
(/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (*.f64 a #s(literal 2 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) (* c (* a -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) (* c (* a -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) (* c (* a -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) (* c (* a -4)))) b) (* c 2))
(/ (+ (neg c) (sqrt (- (* c c) (* (* 4 a) b)))) (* 2 a))
(/ (- (sqrt (+ (* c c) (* (* b a) -4))) c) (* a 2))

explain197.0ms (1.7%)

Memory
-25.5MiB live, 401.0MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1270-0-(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))
530-0-(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))
212(2.8114016145053404e-99 3.3633405067944947e+199 3.1563974842647053e-124)2(3.2156523490494826e-113 4.777772117518285e+250 9.141095600176013e+49)(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))
40-0-(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))
00-0-a
00-0-#s(literal 4 binary64)
00-0-(*.f64 (*.f64 #s(literal 4 binary64) a) c)
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-(*.f64 #s(literal 4 binary64) a)
00-0-b
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
sqrt.f64(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))oflow-rescue1190
↳(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))overflow119
↳(*.f64 (*.f64 #s(literal 4 binary64) a) c)overflow20
↳(*.f64 b b)overflow106
+.f64(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))cancellation530
/.f64(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))u/n210
↳(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))underflow8
↳(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))underflow31
↳(*.f64 (*.f64 #s(literal 4 binary64) a) c)underflow39
↳(*.f64 b b)underflow42
sqrt.f64(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))uflow-rescue80
↳(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))underflow8
↳(*.f64 (*.f64 #s(literal 4 binary64) a) c)underflow39
↳(*.f64 b b)underflow42
-.f64(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))nan-rescue40
↳(*.f64 b b)overflow106
↳(*.f64 (*.f64 #s(literal 4 binary64) a) c)overflow20
Confusion
Predicted +Predicted -
+1340
-2795
Precision
0.8322981366459627
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+13400
-27095
Precision?
0.8322981366459627
Recall?
1.0
Freqs
test
numberfreq
095
1118
242
31
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
34.0ms346×0valid
20.0ms82×2valid
11.0ms66×1valid
6.0ms18×3valid
Compiler

Compiled 184 to 60 computations (67.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 43.0ms
ival-mult: 16.0ms (37.1% of total)
ival-sqrt: 6.0ms (13.9% of total)
ival-div: 5.0ms (11.6% of total)
ival-sub: 4.0ms (9.3% of total)
adjust: 4.0ms (9.3% of total)
ival-neg: 4.0ms (9.3% of total)
ival-add: 4.0ms (9.3% of total)
exact: 1.0ms (2.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory
2.1MiB live, 2.1MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶50.3%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))
Compiler

Compiled 20 to 14 computations (30% saved)

simplify102.0ms (0.9%)

Memory
12.4MiB live, 129.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))
✓cost-diff0
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))
✓cost-diff0
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))
✓cost-diff128
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))
Rules
1 120×accelerator-lowering-fma.f32
1 120×accelerator-lowering-fma.f64
744×*-lowering-*.f32
744×*-lowering-*.f64
434×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01470
13168
26868
315168
423168
537268
665468
7112268
8222568
9250968
10262668
11268168
12268268
13268268
14268868
0268864
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)
4
a
c
(* 2 a)
2
Outputs
(/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))
(/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (*.f64 a #s(literal 2 binary64)))
(+ (neg b) (sqrt (- (* b b) (* (* 4 a) c))))
(-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)
(neg b)
(-.f64 #s(literal 0 binary64) b)
b
(sqrt (- (* b b) (* (* 4 a) c)))
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))
(- (* b b) (* (* 4 a) c))
(+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))
(* b b)
(*.f64 b b)
(* (* 4 a) c)
(*.f64 #s(literal 4 binary64) (*.f64 a c))
(* 4 a)
(*.f64 #s(literal 4 binary64) a)
4
#s(literal 4 binary64)
a
c
(* 2 a)
(*.f64 a #s(literal 2 binary64))
2
#s(literal 2 binary64)

localize54.0ms (0.5%)

Memory
21.5MiB live, 137.9MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy98.7%
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))
✓accuracy92.9%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))
✓accuracy81.4%
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))
✓accuracy53.7%
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))
Samples
16.0ms173×0valid
10.0ms41×2valid
7.0ms33×1valid
3.0ms9×3valid
Compiler

Compiled 72 to 16 computations (77.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-mult: 8.0ms (35.1% of total)
ival-div: 4.0ms (17.6% of total)
ival-sqrt: 3.0ms (13.2% of total)
ival-sub: 2.0ms (8.8% of total)
adjust: 2.0ms (8.8% of total)
ival-neg: 2.0ms (8.8% of total)
ival-add: 2.0ms (8.8% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series25.0ms (0.2%)

Memory
-30.1MiB live, 46.9MiB allocated
Counts
4 → 144
Calls
Call 1
Inputs
#<alt (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c))))>
#<alt (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))>
#<alt (sqrt (- (* b b) (* (* 4 a) c)))>
#<alt (- (* 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 (* 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))))))))>
#<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))))>
Calls

36 calls:

TimeVariablePointExpression
3.0ms
b
@-inf
(+ (neg b) (sqrt (- (* b b) (* (* 4 a) c))))
1.0ms
a
@-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))))

rewrite341.0ms (3%)

Memory
46.2MiB live, 693.0MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 850×accelerator-lowering-fma.f32
4 850×accelerator-lowering-fma.f64
3 904×*-lowering-*.f32
3 904×*-lowering-*.f64
2 332×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01449
16747
252747
3685847
0815243
Stop Event
1×iter limit
1×node limit
Counts
4 → 412
Calls
Call 1
Inputs
(+ (neg b) (sqrt (- (* b b) (* (* 4 a) c))))
(/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))
(sqrt (- (* b b) (* (* 4 a) c)))
(- (* b b) (* (* 4 a) c))
Outputs
(+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))
(+.f64 b (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))))
(+.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b)
(+.f64 #s(literal 0 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
(+.f64 (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (neg.f64 (/.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) #s(literal 0 binary64)) b)
(+.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) b)
(-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b)
(-.f64 #s(literal 0 binary64) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
(-.f64 (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (/.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))))
(-.f64 (/.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))))
(-.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) #s(literal 0 binary64)) b)
(fma.f64 b #s(literal 1 binary64) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))
(fma.f64 b #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))))
(fma.f64 b #s(literal -1 binary64) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))
(fma.f64 b #s(literal -1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))))
(fma.f64 b (/.f64 b (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (neg.f64 (/.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))))
(fma.f64 (*.f64 b b) (/.f64 #s(literal -1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (neg.f64 (/.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))))
(fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) b) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))
(fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) b) (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))))
(fma.f64 (*.f64 b (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 b b)) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))
(fma.f64 (*.f64 b (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 b b)) (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))))
(fma.f64 #s(literal 1 binary64) b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))
(fma.f64 #s(literal 1 binary64) b (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (neg.f64 (/.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))))
(fma.f64 #s(literal -1 binary64) b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))
(fma.f64 #s(literal -1 binary64) b (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))))
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (neg.f64 (/.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))))
(fma.f64 (sqrt.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 #s(literal -64 binary64) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c))))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 a c)) (+.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))))) #s(literal 1/2 binary64)) b)
(fma.f64 (sqrt.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 #s(literal -64 binary64) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 a c)) (+.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))))) b)
(fma.f64 (sqrt.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 #s(literal -64 binary64) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c))))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 a c)) (+.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))))) b)
(fma.f64 (sqrt.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 #s(literal -16 binary64) (*.f64 a (*.f64 c (*.f64 a c)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) #s(literal 1/2 binary64)) b)
(fma.f64 (sqrt.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 #s(literal -16 binary64) (*.f64 a (*.f64 c (*.f64 a c)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) b)
(fma.f64 (sqrt.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 #s(literal -16 binary64) (*.f64 a (*.f64 c (*.f64 a c)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) b)
(fma.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal 1/4 binary64)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal 1/4 binary64)) b)
(fma.f64 (sqrt.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (sqrt.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) b)
(fma.f64 (pow.f64 b #s(literal 1/2 binary64)) (pow.f64 b #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))
(fma.f64 (pow.f64 b #s(literal 1/2 binary64)) (pow.f64 b #s(literal 1/2 binary64)) (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))))
(fma.f64 (/.f64 (*.f64 b b) (+.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (neg.f64 (/.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))))
(fma.f64 (/.f64 (*.f64 b b) (-.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal 3/2 binary64)))) (+.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (*.f64 b (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (neg.f64 (/.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))))
(neg.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
(/.f64 (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal 3/2 binary64))) (+.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (*.f64 b (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))))
(/.f64 (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal 3/2 binary64))) (neg.f64 (-.f64 (*.f64 b b) (+.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 b (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))))
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(*.f64 (/.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 #s(literal -64 binary64) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))))) (+.f64 (*.f64 (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b)))))) (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 a c)) (+.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) (*.f64 (*.f64 #s(literal 16 binary64) (*.f64 a (*.f64 c (*.f64 a c)))) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 #s(literal 16 binary64) (*.f64 a (*.f64 c (*.f64 a c))))))))) (+.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b)))))) (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 a c)) (+.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) (-.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 a c)) (+.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) (*.f64 b (*.f64 b (*.f64 b b)))))))
(*.f64 (/.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 #s(literal -64 binary64) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))))) (-.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b)))))) (*.f64 (*.f64 #s(literal 16 binary64) (*.f64 a (*.f64 c (*.f64 a c)))) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 #s(literal 16 binary64) (*.f64 a (*.f64 c (*.f64 a c)))))))) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (+.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))))
(*.f64 (/.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 #s(literal -16 binary64) (*.f64 a (*.f64 c (*.f64 a c))))) (+.f64 (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 #s(literal 64 binary64) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c))))))) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 a c)) (+.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))))

simplify400.0ms (3.5%)

Memory
1.1MiB live, 765.7MiB 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
260793180
082443023
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))))))
(* 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))))))))
(* -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))))
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)))
(-.f64 (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) b)
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(+.f64 (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) (*.f64 b (+.f64 #s(literal -1 binary64) (*.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))))))
(+ (* 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)))
(+.f64 (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) (*.f64 b (+.f64 #s(literal -1 binary64) (*.f64 b (+.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) c) (*.f64 c c))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1/32 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.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) (+.f64 (*.f64 a c) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 b b)))) 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 (+.f64 (*.f64 #s(literal -2 binary64) (+.f64 (*.f64 a c) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 b b)))) (/.f64 (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 a (*.f64 a a))) (*.f64 c (*.f64 c c))) (*.f64 (*.f64 b b) (*.f64 b b)))) 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 (+.f64 (+.f64 (*.f64 #s(literal -2 binary64) (+.f64 (*.f64 a c) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 b b)))) (/.f64 (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 a (*.f64 a a))) (*.f64 c (*.f64 c c))) (*.f64 (*.f64 b b) (*.f64 b b)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 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) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b)) b))))
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(-.f64 #s(literal 0 binary64) (*.f64 b (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 (*.f64 a c) (*.f64 b b)) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 (*.f64 b b) (*.f64 b b))))))))
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(*.f64 (-.f64 #s(literal 0 binary64) c) (+.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c)))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64))) (*.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (pow.f64 c #s(literal 5 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) (+.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c)))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)))) (+.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (pow.f64 c #s(literal 5 binary64)))))) (*.f64 #s(literal 1/512 binary64) (*.f64 (*.f64 (pow.f64 b #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 binary64)))))))))
(* -4 (* a c))
(*.f64 a (*.f64 c #s(literal -4 binary64)))
(- (pow b 2) (* 4 (* a c)))
(+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))
(- (pow b 2) (* 4 (* a c)))
(+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))
(- (pow b 2) (* 4 (* a c)))
(+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (/.f64 (*.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) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b))))
(pow b 2)
(*.f64 b b)
(+ (* -4 (* a c)) (pow b 2))
(+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))
(+ (* -4 (* a c)) (pow b 2))
(+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))
(+ (* -4 (* a c)) (pow b 2))
(+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))
(* -4 (* a c))
(*.f64 a (*.f64 c #s(literal -4 binary64)))
(* a (- (/ (pow b 2) a) (* 4 c)))
(*.f64 a (+.f64 (/.f64 (*.f64 b b) a) (*.f64 c #s(literal -4 binary64))))
(* a (- (/ (pow b 2) a) (* 4 c)))
(*.f64 a (+.f64 (/.f64 (*.f64 b b) a) (*.f64 c #s(literal -4 binary64))))
(* a (- (/ (pow b 2) a) (* 4 c)))
(*.f64 a (+.f64 (/.f64 (*.f64 b b) a) (*.f64 c #s(literal -4 binary64))))
(* -4 (* a c))
(*.f64 a (*.f64 c #s(literal -4 binary64)))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
(*.f64 a (+.f64 (/.f64 (*.f64 b b) a) (*.f64 c #s(literal -4 binary64))))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
(*.f64 a (+.f64 (/.f64 (*.f64 b b) a) (*.f64 c #s(literal -4 binary64))))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
(*.f64 a (+.f64 (/.f64 (*.f64 b b) a) (*.f64 c #s(literal -4 binary64))))
(pow b 2)
(*.f64 b b)
(+ (* -4 (* a c)) (pow b 2))
(+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))
(+ (* -4 (* a c)) (pow b 2))
(+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))
(+ (* -4 (* a c)) (pow b 2))
(+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))
(* -4 (* a c))
(*.f64 a (*.f64 c #s(literal -4 binary64)))
(* c (- (/ (pow b 2) c) (* 4 a)))
(*.f64 c (+.f64 (/.f64 (*.f64 b b) c) (*.f64 a #s(literal -4 binary64))))
(* c (- (/ (pow b 2) c) (* 4 a)))
(*.f64 c (+.f64 (/.f64 (*.f64 b b) c) (*.f64 a #s(literal -4 binary64))))
(* c (- (/ (pow b 2) c) (* 4 a)))
(*.f64 c (+.f64 (/.f64 (*.f64 b b) c) (*.f64 a #s(literal -4 binary64))))
(* -4 (* a c))
(*.f64 a (*.f64 c #s(literal -4 binary64)))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(*.f64 c (+.f64 (/.f64 (*.f64 b b) c) (*.f64 a #s(literal -4 binary64))))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(*.f64 c (+.f64 (/.f64 (*.f64 b b) c) (*.f64 a #s(literal -4 binary64))))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(*.f64 c (+.f64 (/.f64 (*.f64 b b) c) (*.f64 a #s(literal -4 binary64))))

eval72.0ms (0.6%)

Memory
-14.3MiB live, 145.4MiB allocated
Compiler

Compiled 22 351 to 2 046 computations (90.8% saved)

prune83.0ms (0.7%)

Memory
29.1MiB live, 190.4MiB allocated
Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New54115556
Fresh000
Picked101
Done000
Total54215557
Accuracy
93.3%
Counts
557 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
34.0%
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c (/.f64 (/.f64 c b) b)))) c) b)
38.3%
(/.f64 (+.f64 (neg.f64 b) (/.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a))
50.2%
(/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (*.f64 #s(literal 2 binary64) a))
▶11.0%
(/.f64 (+.f64 (neg.f64 b) (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b)) b)))) (*.f64 #s(literal 2 binary64) a))
27.9%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 b b))) (*.f64 #s(literal 2 binary64) a))
32.8%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))
24.2%
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (+.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
▶25.4%
(/.f64 (*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b)) (*.f64 #s(literal 2 binary64) a))
39.0%
(/.f64 (*.f64 b (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b)) b)))) (*.f64 #s(literal 2 binary64) a))
39.1%
(/.f64 b (-.f64 #s(literal 0 binary64) a))
▶34.7%
(/.f64 #s(literal 1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))))
34.7%
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) a))
39.0%
(-.f64 (*.f64 b (/.f64 (/.f64 c b) b)) (/.f64 b a))
▶34.2%
(-.f64 #s(literal 0 binary64) (/.f64 c b))
▶50.2%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
Compiler

Compiled 566 to 364 computations (35.7% saved)

simplify235.0ms (2.1%)

Memory
5.7MiB live, 394.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))
✓cost-diff0
(+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))
✓cost-diff0
(/.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
✓cost-diff0
(/.f64 #s(literal 1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b)) b))
✓cost-diff256
(*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b)) b)))
✓cost-diff384
(+.f64 (neg.f64 b) (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b)) b))))
✓cost-diff384
(/.f64 (+.f64 (neg.f64 b) (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b)) b)))) (*.f64 #s(literal 2 binary64) a))
✓cost-diff0
(*.f64 a #s(literal -2 binary64))
✓cost-diff0
(/.f64 (*.f64 a #s(literal -2 binary64)) b)
✓cost-diff0
(*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b))
✓cost-diff384
(/.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
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))
✓cost-diff0
(-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))
✓cost-diff0
(/.f64 #s(literal -1/2 binary64) a)
✓cost-diff0
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
Rules
6 758×accelerator-lowering-fma.f32
6 758×accelerator-lowering-fma.f64
4 720×*-lowering-*.f32
4 720×*-lowering-*.f64
2 212×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034250
180250
2206250
3709246
42158246
54510246
08310235
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (/ -1/2 a) (- b (sqrt (+ (* b b) (* c (* a -4))))))
(/ -1/2 a)
-1/2
a
(- b (sqrt (+ (* b b) (* c (* a -4)))))
b
(sqrt (+ (* b b) (* c (* a -4))))
(+ (* b b) (* c (* a -4)))
(* b b)
(* c (* a -4))
c
(* a -4)
-4
(- 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
(/ (+ (neg b) (* b (+ 1 (/ (* c (/ (* a -2) b)) b)))) (* 2 a))
(+ (neg b) (* b (+ 1 (/ (* c (/ (* a -2) b)) b))))
(neg b)
b
(* b (+ 1 (/ (* c (/ (* a -2) b)) b)))
(+ 1 (/ (* c (/ (* a -2) b)) b))
1
(/ (* c (/ (* a -2) b)) b)
(* c (/ (* a -2) b))
c
(/ (* a -2) b)
(* a -2)
a
-2
(* 2 a)
2
(/ 1/2 (/ a (+ b (sqrt (+ (* b b) (* c (* a -4)))))))
1/2
(/ a (+ b (sqrt (+ (* b b) (* c (* a -4))))))
a
(+ b (sqrt (+ (* b b) (* c (* a -4)))))
b
(sqrt (+ (* b b) (* c (* a -4))))
(+ (* b b) (* c (* a -4)))
(* b b)
(* c (* a -4))
c
(* a -4)
-4
Outputs
(* (/ -1/2 a) (- b (sqrt (+ (* b b) (* c (* a -4))))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)) a)
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
-1/2
#s(literal -1/2 binary64)
a
(- b (sqrt (+ (* b b) (* c (* a -4)))))
(-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))
b
(sqrt (+ (* b b) (* c (* a -4))))
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))
(+ (* b b) (* c (* a -4)))
(+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))
(* b b)
(*.f64 b b)
(* c (* a -4))
(*.f64 a (*.f64 c #s(literal -4 binary64)))
c
(* a -4)
(*.f64 a #s(literal -4 binary64))
-4
#s(literal -4 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))
(*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) b))
c
(/ (* a -2) b)
(/.f64 (*.f64 a #s(literal -2 binary64)) b)
(* a -2)
(*.f64 a #s(literal -2 binary64))
a
-2
#s(literal -2 binary64)
b
(* 2 a)
(*.f64 a #s(literal 2 binary64))
2
#s(literal 2 binary64)
(/ (+ (neg b) (* b (+ 1 (/ (* c (/ (* a -2) b)) b)))) (* 2 a))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(+ (neg b) (* b (+ 1 (/ (* c (/ (* a -2) b)) b))))
(*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) b))
(neg b)
(-.f64 #s(literal 0 binary64) b)
b
(* b (+ 1 (/ (* c (/ (* a -2) b)) b)))
(+.f64 b (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) b)))
(+ 1 (/ (* c (/ (* a -2) b)) b))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) b)) b))
1
#s(literal 1 binary64)
(/ (* c (/ (* a -2) b)) b)
(/.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) b)) b)
(* c (/ (* a -2) b))
(*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) b))
c
(/ (* a -2) b)
(/.f64 (*.f64 a #s(literal -2 binary64)) b)
(* a -2)
(*.f64 a #s(literal -2 binary64))
a
-2
#s(literal -2 binary64)
(* 2 a)
(*.f64 a #s(literal 2 binary64))
2
#s(literal 2 binary64)
(/ 1/2 (/ a (+ b (sqrt (+ (* b b) (* c (* a -4)))))))
(*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (/.f64 #s(literal 1/2 binary64) a))
1/2
#s(literal 1/2 binary64)
(/ a (+ b (sqrt (+ (* b b) (* c (* a -4))))))
(/.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))
a
(+ b (sqrt (+ (* b b) (* c (* a -4)))))
(+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))
b
(sqrt (+ (* b b) (* c (* a -4))))
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))
(+ (* b b) (* c (* a -4)))
(+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))
(* b b)
(*.f64 b b)
(* c (* a -4))
(*.f64 a (*.f64 c #s(literal -4 binary64)))
c
(* a -4)
(*.f64 a #s(literal -4 binary64))
-4
#s(literal -4 binary64)

localize188.0ms (1.7%)

Memory
-32.2MiB live, 320.8MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy98.7%
(+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))
✓accuracy91.1%
(/.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
✓accuracy80.2%
(+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))
✓accuracy53.7%
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))
✓accuracy94.5%
(*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b)) b)))
✓accuracy94.1%
(*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b))
✓accuracy78.3%
(/.f64 (+.f64 (neg.f64 b) (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b)) b)))) (*.f64 #s(literal 2 binary64) a))
✓accuracy61.7%
(+.f64 (neg.f64 b) (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b)) b))))
✓accuracy100.0%
(*.f64 a #s(literal -2 binary64))
✓accuracy100.0%
(*.f64 #s(literal 2 binary64) a)
✓accuracy94.1%
(*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b))
✓accuracy78.3%
(/.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))
✓accuracy98.7%
(+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))
✓accuracy92.7%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
✓accuracy81.4%
(-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))
✓accuracy53.7%
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))
Samples
52.0ms84×2valid
30.0ms70×1valid
28.0ms23×3valid
18.0ms79×0valid
Compiler

Compiled 285 to 36 computations (87.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 88.0ms
ival-div: 31.0ms (35.3% of total)
ival-mult: 22.0ms (25.1% of total)
ival-add: 11.0ms (12.5% of total)
adjust: 9.0ms (10.3% of total)
ival-sub: 6.0ms (6.8% of total)
ival-sqrt: 5.0ms (5.7% of total)
ival-neg: 2.0ms (2.3% of total)
exact: 1.0ms (1.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series65.0ms (0.6%)

Memory
-14.2MiB live, 104.7MiB allocated
Counts
19 → 576
Calls
Call 1
Inputs
#<alt (* (/ -1/2 a) (- b (sqrt (+ (* b b) (* c (* a -4))))))>
#<alt (/ -1/2 a)>
#<alt (- b (sqrt (+ (* b b) (* c (* a -4)))))>
#<alt (sqrt (+ (* b b) (* c (* a -4))))>
#<alt (- 0 (/ c b))>
#<alt (/ c b)>
#<alt (/ (* c (/ (* a -2) b)) (* 2 a))>
#<alt (* c (/ (* a -2) b))>
#<alt (/ (* a -2) b)>
#<alt (* a -2)>
#<alt (/ (+ (neg b) (* b (+ 1 (/ (* c (/ (* a -2) b)) b)))) (* 2 a))>
#<alt (+ (neg b) (* b (+ 1 (/ (* c (/ (* a -2) b)) b))))>
#<alt (* b (+ 1 (/ (* c (/ (* a -2) b)) b)))>
#<alt (+ 1 (/ (* c (/ (* a -2) b)) b))>
#<alt (/ 1/2 (/ a (+ b (sqrt (+ (* b b) (* c (* a -4)))))))>
#<alt (/ a (+ b (sqrt (+ (* b b) (* c (* a -4))))))>
#<alt (+ b (sqrt (+ (* b b) (* c (* a -4)))))>
#<alt (+ (* b b) (* c (* a -4)))>
#<alt (* 2 a)>
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 (* 1/2 (* (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 (* 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 a)>
#<alt (/ -1/2 a)>
#<alt (/ -1/2 a)>
#<alt (/ -1/2 a)>
#<alt (/ -1/2 a)>
#<alt (/ -1/2 a)>
#<alt (/ -1/2 a)>
#<alt (/ -1/2 a)>
#<alt (/ -1/2 a)>
#<alt (/ -1/2 a)>
#<alt (/ -1/2 a)>
#<alt (/ -1/2 a)>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -4)))>
#<alt (- b (* (sqrt (* a c)) (sqrt -4)))>
#<alt (- (* b (+ 1 (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (- (* 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)))>
#<alt (* 2 (/ (* a c) b))>
#<alt (/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) 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 (/ (- (* 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)>
#<alt (* 2 b)>
#<alt (* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 2)))>
#<alt (* -1 (* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2)))))))>
#<alt (* -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))))))))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b))))>
#<alt (* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b))))>
#<alt (* 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))))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -4)))>
#<alt (* c (- (/ b c) (* (sqrt (/ a c)) (sqrt -4))))>
#<alt (* c (- (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))>
#<alt (* 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)))))>
#<alt (* 2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* c (- (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -1 (* c (- (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -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))))))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b))))>
#<alt (* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b))))>
#<alt (* 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))))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -4)))>
#<alt (* a (- (/ b a) (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (* a (- (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (* 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)))))>
#<alt (* 2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* a (- (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -1 (* a (- (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -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))))))>
#<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 (* 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 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 (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ a b))>
#<alt (* -2 (/ a b))>
#<alt (* -2 (/ a b))>
#<alt (* -2 (/ a b))>
#<alt (* -2 (/ a b))>
#<alt (* -2 (/ a b))>
#<alt (* -2 (/ a b))>
#<alt (* -2 (/ a b))>
#<alt (* -2 (/ a b))>
#<alt (* -2 (/ a b))>
#<alt (* -2 (/ a b))>
#<alt (* -2 (/ a b))>
#<alt (* -2 (/ a b))>
#<alt (* -2 (/ a b))>
#<alt (* -2 (/ a b))>
#<alt (* -2 (/ a b))>
#<alt (* -2 (/ a b))>
#<alt (* -2 (/ a b))>
#<alt (* -2 (/ a b))>
#<alt (* -2 (/ a b))>
#<alt (* -2 (/ a b))>
#<alt (* -2 (/ a b))>
#<alt (* -2 (/ a b))>
#<alt (* -2 (/ a b))>
#<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 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
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#<alt (* -2 (/ (* a c) b))>
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#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (/ (+ (* -2 (* a c)) (pow b 2)) b)>
#<alt (/ (+ (* -2 (* a c)) (pow b 2)) b)>
#<alt (/ (+ (* -2 (* a c)) (pow b 2)) b)>
#<alt b>
#<alt (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))>
#<alt (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))>
#<alt (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))>
#<alt b>
#<alt (* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 1)))>
#<alt (* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 1)))>
#<alt (* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 1)))>
#<alt b>
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#<alt (+ b (* -2 (/ (* a c) b)))>
#<alt (+ b (* -2 (/ (* a c) b)))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* c (+ (* -2 (/ a b)) (/ b c)))>
#<alt (* c (+ (* -2 (/ a b)) (/ b c)))>
#<alt (* c (+ (* -2 (/ a b)) (/ b c)))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -1 (* c (+ (* -1 (/ b c)) (* 2 (/ a b)))))>
#<alt (* -1 (* c (+ (* -1 (/ b c)) (* 2 (/ a b)))))>
#<alt (* -1 (* c (+ (* -1 (/ b c)) (* 2 (/ a b)))))>
#<alt b>
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#<alt (+ b (* -2 (/ (* a c) b)))>
#<alt (+ b (* -2 (/ (* a c) b)))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* a (+ (* -2 (/ c b)) (/ b a)))>
#<alt (* a (+ (* -2 (/ c b)) (/ b a)))>
#<alt (* a (+ (* -2 (/ c b)) (/ b a)))>
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#<alt (* -1 (* a (+ (* -1 (/ b a)) (* 2 (/ c b)))))>
#<alt (* -1 (* a (+ (* -1 (/ b a)) (* 2 (/ c b)))))>
#<alt (* -1 (* a (+ (* -1 (/ b a)) (* 2 (/ c b)))))>
#<alt 1>
#<alt (+ 1 (* -2 (/ (* a c) (pow b 2))))>
#<alt (+ 1 (* -2 (/ (* a c) (pow b 2))))>
#<alt (+ 1 (* -2 (/ (* a c) (pow b 2))))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* c (+ (* -2 (/ a (pow b 2))) (/ 1 c)))>
#<alt (* c (+ (* -2 (/ a (pow b 2))) (/ 1 c)))>
#<alt (* c (+ (* -2 (/ a (pow b 2))) (/ 1 c)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -1 (* c (- (* 2 (/ a (pow b 2))) (/ 1 c))))>
#<alt (* -1 (* c (- (* 2 (/ a (pow b 2))) (/ 1 c))))>
#<alt (* -1 (* c (- (* 2 (/ a (pow b 2))) (/ 1 c))))>
#<alt 1>
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#<alt (+ 1 (* -2 (/ (* a c) (pow b 2))))>
#<alt (+ 1 (* -2 (/ (* a c) (pow b 2))))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* a (+ (* -2 (/ c (pow b 2))) (/ 1 a)))>
#<alt (* a (+ (* -2 (/ c (pow b 2))) (/ 1 a)))>
#<alt (* a (+ (* -2 (/ c (pow b 2))) (/ 1 a)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -1 (* a (- (* 2 (/ c (pow b 2))) (/ 1 a))))>
#<alt (* -1 (* a (- (* 2 (/ c (pow b 2))) (/ 1 a))))>
#<alt (* -1 (* a (- (* 2 (/ c (pow b 2))) (/ 1 a))))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (/ (+ (* -2 (* a c)) (pow b 2)) (pow b 2))>
#<alt (/ (+ (* -2 (* a c)) (pow b 2)) (pow b 2))>
#<alt (/ (+ (* -2 (* a c)) (pow b 2)) (pow b 2))>
#<alt 1>
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#<alt 1>
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#<alt (/ b a)>
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#<alt (/ (+ b (* a (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))))) a)>
#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* 1/2 (/ b a)))>
#<alt (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* 1/2 (/ b a))))>
#<alt (+ (* -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))) (* 1/2 (/ b a)))))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
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#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))>
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#<alt (/ b a)>
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#<alt (/ b a)>
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#<alt (* 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))) (* 1/2 (/ b (* a c)))))))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
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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 (* 1/2 (/ a b))>
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#<alt (* (sqrt (/ a c)) (/ 1 (sqrt -4)))>
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#<alt (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (* -1/2 (/ (* (pow a 2) (pow b 3)) (* (pow c 2) (pow (sqrt -4) 4))))) (pow a 3))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (/ b (* c (pow (sqrt -4) 2))))))>
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#<alt (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/16 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1))))))))) (* 1/32 (/ (* a (pow b 3)) (pow c 2)))) (+ (* -1/16 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))))) a)) (* 1/4 (/ (* a b) c))) a)) (* -1/2 (* (sqrt (/ a c)) (sqrt -1))))>
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#<alt (+ (* b (- (* b (- (* b (- (* 1/2 (/ 1 (* a (* (pow c 2) (pow (sqrt -4) 4))))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4)))))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))))) (/ 1 (* c (pow (sqrt -4) 2))))) (* (sqrt (/ a c)) (/ 1 (sqrt -4))))>
#<alt (* 1/2 (/ a b))>
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#<alt (* 1/2 (/ b c))>
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#<alt (* -1 (* b (- (* -1 (/ (+ (* -1 (* a (* c (+ (* -1 (* (pow a 2) c)) (* 1/2 (* (pow a 2) c)))))) (+ (* -1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow c 2)))) (* (pow a 3) (pow c 2)))) (pow b 6))) (+ (* -1 (/ (* (pow a 2) c) (pow b 4))) (+ (* -1/2 (/ a (pow b 2))) (+ (* 1/2 (/ (* (pow a 2) c) (pow b 4))) (* 1/2 (/ 1 c))))))))>
#<alt (* 1/2 (/ a b))>
#<alt (+ (* 1/2 (/ a b)) (* 1/2 (/ (* (pow a 2) c) (pow b 3))))>
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#<alt (+ (* 1/2 (/ a b)) (* c (- (* c (- (* -1 (* c (+ (* -2 (/ (pow a 4) (pow b 7))) (* -1/2 (/ (pow a 4) (pow b 7)))))) (* -1 (/ (pow a 3) (pow b 5))))) (* -1/2 (/ (pow a 2) (pow b 3))))))>
#<alt (* (sqrt (/ a c)) (/ 1 (sqrt -4)))>
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#<alt (/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (* -1/2 (/ (* (pow b 3) (pow c 2)) (* a (pow (sqrt -4) 4))))) (pow c 3))) (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (/ b (pow (sqrt -4) 2))))) c)>
#<alt (* -1/2 (* (sqrt (/ a c)) (sqrt -1)))>
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#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1))))))))) (* -1/32 (/ (* (pow b 3) c) a))) (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))))) c)) (* -1/4 (* b c))) c)) (* 1/2 (* (sqrt (* a c)) (sqrt -1)))) c))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (+ b (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ (* b (+ 1 (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ (* 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)))>
#<alt (* 2 b)>
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#<alt (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))>
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#<alt (* 2 (/ (* a c) b))>
#<alt (* -1 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))>
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#<alt (* -1 (/ (+ (* -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 (+ (* -2 (/ (* a c) b)) (* 2 b))>
#<alt (+ (* 2 b) (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))>
#<alt (+ (* 2 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 (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))>
#<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 (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -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))))))>
#<alt (* 2 b)>
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#<alt (+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))>
#<alt (+ (* 2 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 (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))>
#<alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))>
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#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
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#<alt (* -4 (* a c))>
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#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -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 (* (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 (* c (+ (* -4 a) (/ (pow b 2) c)))>
#<alt (* c (+ (* -4 a) (/ (pow b 2) c)))>
#<alt (* c (+ (* -4 a) (/ (pow b 2) c)))>
#<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 (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 (+ (* -4 c) (/ (pow b 2) a)))>
#<alt (* a (+ (* -4 c) (/ (pow b 2) a)))>
#<alt (* a (+ (* -4 c) (/ (pow b 2) a)))>
#<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 (* 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)>
Calls

144 calls:

TimeVariablePointExpression
7.0ms
a
@0
(/ (+ (neg b) (* b (+ 1 (/ (* c (/ (* a -2) b)) b)))) (* 2 a))
4.0ms
a
@inf
(/ (+ (neg b) (* b (+ 1 (/ (* c (/ (* a -2) b)) b)))) (* 2 a))
3.0ms
b
@0
(sqrt (+ (* b b) (* c (* a -4))))
2.0ms
b
@inf
(/ a (+ b (sqrt (+ (* b b) (* c (* a -4))))))
2.0ms
a
@0
(/ -1/2 a)

rewrite501.0ms (4.4%)

Memory
14.8MiB live, 489.5MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 070×/-lowering-/.f32
5 070×/-lowering-/.f64
4 892×accelerator-lowering-fma.f32
4 892×accelerator-lowering-fma.f64
4 062×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034188
1193186
21748180
08505169
Stop Event
1×iter limit
1×node limit
Counts
19 → 875
Calls
Call 1
Inputs
(* (/ -1/2 a) (- b (sqrt (+ (* b b) (* c (* a -4))))))
(/ -1/2 a)
(- b (sqrt (+ (* b b) (* c (* a -4)))))
(sqrt (+ (* b b) (* c (* a -4))))
(- 0 (/ c b))
(/ c b)
(/ (* c (/ (* a -2) b)) (* 2 a))
(* c (/ (* a -2) b))
(/ (* a -2) b)
(* a -2)
(/ (+ (neg b) (* b (+ 1 (/ (* c (/ (* a -2) b)) b)))) (* 2 a))
(+ (neg b) (* b (+ 1 (/ (* c (/ (* a -2) b)) b))))
(* b (+ 1 (/ (* c (/ (* a -2) b)) b)))
(+ 1 (/ (* c (/ (* a -2) b)) b))
(/ 1/2 (/ a (+ b (sqrt (+ (* b b) (* c (* a -4)))))))
(/ a (+ b (sqrt (+ (* b b) (* c (* a -4))))))
(+ b (sqrt (+ (* b b) (* c (* a -4)))))
(+ (* b b) (* c (* a -4)))
(* 2 a)
Outputs
(+.f64 (/.f64 b (/.f64 a #s(literal -1/2 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) (/.f64 #s(literal -1/2 binary64) a)))
(+.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) b) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))))
(-.f64 (/.f64 b (/.f64 a #s(literal -1/2 binary64))) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) (/.f64 a #s(literal -1/2 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 b (*.f64 b b)) (+.f64 (*.f64 b b) (+.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))) (*.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))))) (/.f64 a #s(literal -1/2 binary64))) (/.f64 (/.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))) #s(literal 3/2 binary64)) (+.f64 (*.f64 b b) (+.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))) (*.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))))) (/.f64 a #s(literal -1/2 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))) (/.f64 a #s(literal -1/2 binary64))) (/.f64 (/.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))) (/.f64 a #s(literal -1/2 binary64))))
(fma.f64 (/.f64 #s(literal -1/2 binary64) a) b (*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))))
(fma.f64 b (/.f64 #s(literal -1/2 binary64) a) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) (/.f64 #s(literal -1/2 binary64) a)))
(fma.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 #s(literal 1/2 binary64) a) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) (/.f64 #s(literal -1/2 binary64) a)))
(fma.f64 #s(literal 1 binary64) (/.f64 b (/.f64 a #s(literal -1/2 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) (/.f64 #s(literal -1/2 binary64) a)))
(fma.f64 (/.f64 b (/.f64 a #s(literal -1/2 binary64))) #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) (/.f64 #s(literal -1/2 binary64) a)))
(fma.f64 (/.f64 b #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) (/.f64 #s(literal -1/2 binary64) a)))
(fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) (/.f64 #s(literal -1/2 binary64) a)))
(/.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) (/.f64 a #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 #s(literal -1/2 binary64) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a #s(literal -1/2 binary64)) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a (*.f64 #s(literal -1/2 binary64) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (+.f64 (*.f64 b b) (+.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))) (*.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))))) (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))) #s(literal 3/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))) (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 a #s(literal -1/2 binary64)) (+.f64 (*.f64 b b) (+.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))) (*.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))))) (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))) #s(literal 3/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 a #s(literal -1/2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))) (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) a) (+.f64 (*.f64 b b) (+.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))) (*.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))) #s(literal 3/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (*.f64 b b) (+.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))) (*.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))))) a) (*.f64 (-.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))) #s(literal 3/2 binary64))) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (*.f64 b b) (+.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))) (*.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))))) (/.f64 a #s(literal -1/2 binary64))) (*.f64 (-.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))) #s(literal 3/2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (*.f64 b b) (+.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))) (*.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))))) (-.f64 #s(literal 0 binary64) a)) (*.f64 (-.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))) #s(literal 3/2 binary64))) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) a) (*.f64 (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) (/.f64 a #s(literal -1/2 binary64))) (*.f64 (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) (-.f64 #s(literal 0 binary64) a)) (*.f64 (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 b b) (+.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))) (*.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))))) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))) #s(literal 3/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a #s(literal -1/2 binary64)) (*.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 #s(literal 1/2 binary64) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 b b) (+.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))) (*.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))))) (*.f64 (-.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))) #s(literal 3/2 binary64))) (/.f64 #s(literal -1/2 binary64) a))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) (*.f64 (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) (/.f64 #s(literal -1/2 binary64) a))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 a (*.f64 #s(literal -1/2 binary64) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))))))
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))) a)
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) (*.f64 (-.f64 #s(literal 0 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))))
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))) #s(literal 3/2 binary64)))) (*.f64 a (+.f64 (*.f64 b b) (+.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))) (*.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))))))
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) (*.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))) #s(literal 3/2 binary64)))) (*.f64 (/.f64 a #s(literal -1/2 binary64)) (+.f64 (*.f64 b b) (+.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))) (*.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) (*.f64 (/.f64 a #s(literal -1/2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))) #s(literal 3/2 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) a) (+.f64 (*.f64 b b) (+.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))) (*.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))))))
(/.f64 (*.f64 (-.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))) #s(literal 3/2 binary64))) #s(literal -1/2 binary64)) (*.f64 (+.f64 (*.f64 b b) (+.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))) (*.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))))) a))
(/.f64 (*.f64 (-.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))) #s(literal 3/2 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 b b) (+.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))) (*.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))))) (/.f64 a #s(literal -1/2 binary64))))
(/.f64 (*.f64 (-.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))) #s(literal 3/2 binary64))) #s(literal 1/2 binary64)) (*.f64 (+.f64 (*.f64 b b) (+.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))) (*.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))))) (-.f64 #s(literal 0 binary64) a)))
(/.f64 (*.f64 (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) #s(literal -1/2 binary64)) (*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) a))
(/.f64 (*.f64 (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) #s(literal 1 binary64)) (*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) (/.f64 a #s(literal -1/2 binary64))))
(/.f64 (*.f64 (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) #s(literal 1/2 binary64)) (*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) (-.f64 #s(literal 0 binary64) a)))
(/.f64 (neg.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))) (/.f64 a #s(literal 1/2 binary64)))
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(neg.f64 (/.f64 a #s(literal -1/2 binary64)))
(/.f64 a #s(literal 1/2 binary64))
(/.f64 (/.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) a))
(/.f64 (-.f64 #s(literal 0 binary64) a) #s(literal -1/2 binary64))
(/.f64 (/.f64 a #s(literal -1/2 binary64)) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 a #s(literal -1/2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 (/.f64 a #s(literal -1/2 binary64)) (/.f64 a #s(literal -1/2 binary64))) (*.f64 #s(literal 0 binary64) (/.f64 a #s(literal -1/2 binary64))))))
(*.f64 a #s(literal 2 binary64))
(*.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) a))
(*.f64 #s(literal 2 binary64) a)
(*.f64 (/.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) a) #s(literal -2 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 a #s(literal -1/2 binary64)))

simplify666.0ms (5.9%)

Memory
17.5MiB live, 533.1MiB allocated
Algorithm
1×egg-herbie
Rules
9 936×accelerator-lowering-fma.f32
9 936×accelerator-lowering-fma.f64
8 500×*-lowering-*.f32
8 500×*-lowering-*.f64
5 284×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010188092
133517880
090407567
Stop Event
1×iter limit
1×node limit
Counts
576 → 576
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)))
(* 1/2 (* (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)))))
(/ -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))
(* 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))))))
(* 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))))))
(* (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 (* 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))))))))
(* -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))
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(* -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)
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(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
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(/ c b)
(/ c b)
(* -1 (/ c b))
(* -1 (/ c b))
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(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ 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))
(* -2 (/ (* a 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))
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(* -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)
(* -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 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))
(* -2 (/ (* a c) b))
(/ (+ (* -2 (* a c)) (pow b 2)) b)
(/ (+ (* -2 (* a c)) (pow b 2)) b)
(/ (+ (* -2 (* a c)) (pow b 2)) b)
b
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
b
(* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 1)))
(* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 1)))
(* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 1)))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* -2 (/ (* a c) b)))
(+ b (* -2 (/ (* a c) b)))
(* -2 (/ (* a c) b))
(* c (+ (* -2 (/ a b)) (/ b c)))
(* c (+ (* -2 (/ a b)) (/ b c)))
(* c (+ (* -2 (/ a b)) (/ b c)))
(* -2 (/ (* a c) b))
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (/ a b)))))
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (/ a b)))))
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (/ a b)))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* -2 (/ (* a c) b)))
(+ b (* -2 (/ (* a c) b)))
(* -2 (/ (* a c) b))
(* a (+ (* -2 (/ c b)) (/ b a)))
(* a (+ (* -2 (/ c b)) (/ b a)))
(* a (+ (* -2 (/ c b)) (/ b a)))
(* -2 (/ (* a c) b))
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (/ c b)))))
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (/ c b)))))
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (/ c b)))))
1
(+ 1 (* -2 (/ (* a c) (pow b 2))))
(+ 1 (* -2 (/ (* a c) (pow b 2))))
(+ 1 (* -2 (/ (* a c) (pow b 2))))
(* -2 (/ (* a c) (pow b 2)))
(* c (+ (* -2 (/ a (pow b 2))) (/ 1 c)))
(* c (+ (* -2 (/ a (pow b 2))) (/ 1 c)))
(* c (+ (* -2 (/ a (pow b 2))) (/ 1 c)))
(* -2 (/ (* a c) (pow b 2)))
(* -1 (* c (- (* 2 (/ a (pow b 2))) (/ 1 c))))
(* -1 (* c (- (* 2 (/ a (pow b 2))) (/ 1 c))))
(* -1 (* c (- (* 2 (/ a (pow b 2))) (/ 1 c))))
1
(+ 1 (* -2 (/ (* a c) (pow b 2))))
(+ 1 (* -2 (/ (* a c) (pow b 2))))
(+ 1 (* -2 (/ (* a c) (pow b 2))))
(* -2 (/ (* a c) (pow b 2)))
(* a (+ (* -2 (/ c (pow b 2))) (/ 1 a)))
(* a (+ (* -2 (/ c (pow b 2))) (/ 1 a)))
(* a (+ (* -2 (/ c (pow b 2))) (/ 1 a)))
(* -2 (/ (* a c) (pow b 2)))
(* -1 (* a (- (* 2 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* a (- (* 2 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* a (- (* 2 (/ c (pow b 2))) (/ 1 a))))
(* -2 (/ (* a c) (pow b 2)))
(/ (+ (* -2 (* a c)) (pow b 2)) (pow b 2))
(/ (+ (* -2 (* a c)) (pow b 2)) (pow b 2))
(/ (+ (* -2 (* a c)) (pow b 2)) (pow b 2))
1
(+ 1 (* -2 (/ (* a c) (pow b 2))))
(+ 1 (* -2 (/ (* a c) (pow b 2))))
(+ 1 (* -2 (/ (* a c) (pow b 2))))
1
(+ 1 (* -2 (/ (* a c) (pow b 2))))
(+ 1 (* -2 (/ (* a c) (pow b 2))))
(+ 1 (* -2 (/ (* a c) (pow b 2))))
(/ b a)
(/ (+ b (* -1 (/ (* a c) b))) a)
(/ (+ b (* a (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))))) a)
(/ (+ 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 (* (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))) (* 1/2 (/ b a)))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* 1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1/2 b) (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) 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 (* (sqrt (/ c a)) (sqrt -4))) (* 1/2 (/ 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)))))
(+ (* 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)))))
(/ b a)
(* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))
(* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))
(* 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)))))
(/ c b)
(* -1 (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b))
(* -1 (/ (+ (* -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))
(/ b a)
(+ (* -1 (/ c b)) (/ b a))
(+ (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) (/ b a))
(+ (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) (/ b a))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* 1/2 (/ b (* a c)))))
(* c (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* 1/2 (/ b (* a c))))))
(* 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))) (* 1/2 (/ b (* a c)))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* -1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 1/2 (/ b a))) 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 (/ a b))
(* a (+ (* 1/2 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* a (+ (* a (- (/ (* a (pow c 2)) (pow b 5)) (* -1/2 (/ c (pow b 3))))) (* 1/2 (/ 1 b))))
(* a (+ (* a (- (* a (- (* -1 (* a (+ (* -2 (/ (pow c 3) (pow b 7))) (* -1/2 (/ (pow c 3) (pow b 7)))))) (* -1 (/ (pow c 2) (pow b 5))))) (* -1/2 (/ c (pow b 3))))) (* 1/2 (/ 1 b))))
(* (sqrt (/ a c)) (/ 1 (sqrt -4)))
(+ (* -1 (/ b (* c (pow (sqrt -4) 2)))) (* (sqrt (/ a c)) (/ 1 (sqrt -4))))
(- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (/ b (* c (pow (sqrt -4) 2))))
(- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (* -1/2 (/ (* (pow a 2) (pow b 3)) (* (pow c 2) (pow (sqrt -4) 4))))) (pow a 3))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (/ b (* c (pow (sqrt -4) 2))))))
(* -1/2 (* (sqrt (/ a c)) (sqrt -1)))
(+ (* -1/2 (* (sqrt (/ a c)) (sqrt -1))) (* 1/4 (/ b c)))
(+ (* -1 (/ (- (+ (* -1/16 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1))))) (* 1/4 (/ (* a b) c))) a)) (* -1/2 (* (sqrt (/ a c)) (sqrt -1))))
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/16 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1))))))))) (* 1/32 (/ (* a (pow b 3)) (pow c 2)))) (+ (* -1/16 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))))) a)) (* 1/4 (/ (* a b) c))) a)) (* -1/2 (* (sqrt (/ a c)) (sqrt -1))))
(* (sqrt (/ a c)) (/ 1 (sqrt -4)))
(+ (* -1 (/ b (* c (pow (sqrt -4) 2)))) (* (sqrt (/ a c)) (/ 1 (sqrt -4))))
(+ (* b (- (* -1 (* b (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))))) (/ 1 (* c (pow (sqrt -4) 2))))) (* (sqrt (/ a c)) (/ 1 (sqrt -4))))
(+ (* b (- (* b (- (* b (- (* 1/2 (/ 1 (* a (* (pow c 2) (pow (sqrt -4) 4))))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4)))))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))))) (/ 1 (* c (pow (sqrt -4) 2))))) (* (sqrt (/ a c)) (/ 1 (sqrt -4))))
(* 1/2 (/ a b))
(/ (+ (* 1/2 a) (* 1/2 (/ (* (pow a 2) c) (pow b 2)))) b)
(/ (- (+ (* 1/2 a) (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* -1/2 (/ (* (pow a 2) c) (pow b 2)))) b)
(/ (- (+ (* -1 (/ (+ (* -2 (* (pow a 4) (pow c 3))) (* -1/2 (* (pow a 4) (pow c 3)))) (pow b 6))) (* 1/2 a)) (+ (* -1 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* -1/2 (/ (* (pow a 2) c) (pow b 2))))) b)
(* 1/2 (/ b c))
(* -1 (* b (- (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c)))))
(* -1 (* b (- (* -1 (/ (+ (* -1 (* (pow a 2) c)) (* 1/2 (* (pow a 2) c))) (pow b 4))) (+ (* -1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c))))))
(* -1 (* b (- (* -1 (/ (+ (* -1 (* a (* c (+ (* -1 (* (pow a 2) c)) (* 1/2 (* (pow a 2) c)))))) (+ (* -1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow c 2)))) (* (pow a 3) (pow c 2)))) (pow b 6))) (+ (* -1 (/ (* (pow a 2) c) (pow b 4))) (+ (* -1/2 (/ a (pow b 2))) (+ (* 1/2 (/ (* (pow a 2) c) (pow b 4))) (* 1/2 (/ 1 c))))))))
(* 1/2 (/ a b))
(+ (* 1/2 (/ a b)) (* 1/2 (/ (* (pow a 2) c) (pow b 3))))
(+ (* 1/2 (/ a b)) (* c (- (/ (* (pow a 3) c) (pow b 5)) (* -1/2 (/ (pow a 2) (pow b 3))))))
(+ (* 1/2 (/ a b)) (* c (- (* c (- (* -1 (* c (+ (* -2 (/ (pow a 4) (pow b 7))) (* -1/2 (/ (pow a 4) (pow b 7)))))) (* -1 (/ (pow a 3) (pow b 5))))) (* -1/2 (/ (pow a 2) (pow b 3))))))
(* (sqrt (/ a c)) (/ 1 (sqrt -4)))
(/ (+ (* -1 (/ b (pow (sqrt -4) 2))) (* (sqrt (* a c)) (/ 1 (sqrt -4)))) c)
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2))) (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (/ b (pow (sqrt -4) 2))) c)
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (* -1/2 (/ (* (pow b 3) (pow c 2)) (* a (pow (sqrt -4) 4))))) (pow c 3))) (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (/ b (pow (sqrt -4) 2))))) c)
(* -1/2 (* (sqrt (/ a c)) (sqrt -1)))
(* -1 (/ (+ (* -1/4 b) (* 1/2 (* (sqrt (* a c)) (sqrt -1)))) c))
(* -1 (/ (+ (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) (* -1/4 (* b c))) c)) (* 1/2 (* (sqrt (* a c)) (sqrt -1)))) c))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1))))))))) (* -1/32 (/ (* (pow b 3) c) a))) (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))))) c)) (* -1/4 (* b c))) c)) (* 1/2 (* (sqrt (* a c)) (sqrt -1)))) c))
(* (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 b)
(* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* 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))
(* -1 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ (* -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 (/ (+ (* -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)
(+ (* -2 (/ (* a c) b)) (* 2 b))
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ (* 2 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 (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))
(* 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 (+ (* -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))))))
(* 2 b)
(+ (* -2 (/ (* a c) b)) (* 2 b))
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ (* 2 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 (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))
(* 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 (+ (* -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))))))
(* -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))
(* 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))))
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
Outputs
(* -1 (/ c b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(-.f64 (-.f64 #s(literal 0 binary64) (/.f64 c b)) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b b))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(-.f64 (*.f64 a (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a (*.f64 c (*.f64 c c)))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))))) (/.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 (-.f64 (*.f64 a (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.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 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))))
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 c a))) (/.f64 (*.f64 b #s(literal -1/2 binary64)) 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)))))
(+.f64 (/.f64 (*.f64 b #s(literal -1/2 binary64)) a) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 c a))) (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))))))
(+ (* -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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(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(*.f64 (-.f64 (*.f64 c #s(literal 4 binary64)) (/.f64 (*.f64 b b) a)) (neg.f64 a))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(*.f64 (-.f64 (*.f64 c #s(literal 4 binary64)) (/.f64 (*.f64 b b) a)) (neg.f64 a))
(* 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))

eval314.0ms (2.8%)

Memory
-4.0MiB live, 213.7MiB allocated
Compiler

Compiled 47 115 to 4 605 computations (90.2% saved)

prune328.0ms (2.9%)

Memory
-6.9MiB live, 236.5MiB allocated
Pruning

28 alts after pruning (26 fresh and 2 done)

PrunedKeptTotal
New1 765181 783
Fresh2810
Picked325
Done000
Total1 770281 798
Accuracy
93.3%
Counts
1 798 → 28
Alt Table
Click to see full alt table
StatusAccuracyProgram
34.0%
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c (/.f64 (/.f64 c b) b)))) c) b)
▶1.7%
(/.f64 (-.f64 b (/.f64 (*.f64 c a) b)) a)
38.3%
(/.f64 (+.f64 (neg.f64 b) (/.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a))
▶50.2%
(/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (*.f64 #s(literal 2 binary64) a))
32.8%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))
22.7%
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))))
21.6%
(/.f64 (*.f64 (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) #s(literal -1/2 binary64)) (*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) a))
0.7%
(/.f64 (*.f64 (+.f64 (*.f64 b (*.f64 b b)) (*.f64 (+.f64 b (*.f64 (/.f64 c (/.f64 b (/.f64 a #s(literal -1/2 binary64)))) #s(literal 1 binary64))) (*.f64 (+.f64 b (*.f64 (/.f64 c (/.f64 b (/.f64 a #s(literal -1/2 binary64)))) #s(literal 1 binary64))) (+.f64 b (*.f64 (/.f64 c (/.f64 b (/.f64 a #s(literal -1/2 binary64)))) #s(literal 1 binary64)))))) (/.f64 #s(literal 1/2 binary64) a)) (+.f64 (*.f64 b b) (*.f64 (+.f64 b (*.f64 (/.f64 c (/.f64 b (/.f64 a #s(literal -1/2 binary64)))) #s(literal 1 binary64))) (-.f64 (+.f64 b (*.f64 (/.f64 c (/.f64 b (/.f64 a #s(literal -1/2 binary64)))) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) b)))))
✓25.4%
(/.f64 (*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b)) (*.f64 #s(literal 2 binary64) a))
39.0%
(/.f64 (*.f64 b (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b)) b)))) (*.f64 #s(literal 2 binary64) a))
10.9%
(/.f64 c b)
39.1%
(/.f64 b (-.f64 #s(literal 0 binary64) a))
▶2.1%
(/.f64 b a)
50.2%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a #s(literal -1/2 binary64)) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))))
34.7%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))) (/.f64 #s(literal 1/2 binary64) a)))
26.8%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 a #s(literal 1/2 binary64)) b) (*.f64 c (/.f64 a #s(literal -1/2 binary64)))))
10.9%
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b #s(literal 1/2 binary64)) c))
23.2%
(/.f64 #s(literal 1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
▶1.5%
(/.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c a)) (*.f64 b b))))))
▶34.7%
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) a))
10.9%
(/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) c))))
39.0%
(-.f64 (*.f64 b (/.f64 (/.f64 c b) b)) (/.f64 b a))
50.1%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))))))
✓50.2%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
32.7%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))))
39.0%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (*.f64 b #s(literal 2 binary64)))
38.1%
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b))) (-.f64 #s(literal 0 binary64) b))
34.2%
(neg.f64 (/.f64 c b))
Compiler

Compiled 1 071 to 639 computations (40.3% saved)

simplify270.0ms (2.4%)

Memory
-8.6MiB live, 283.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
✓cost-diff0
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) a))
✓cost-diff128
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) a)
✓cost-diff0
(+.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c a)) (*.f64 b b)))
✓cost-diff0
(/.f64 a (*.f64 b (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c a)) (*.f64 b b)))))
✓cost-diff128
(*.f64 b (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c a)) (*.f64 b b))))
✓cost-diff512
(/.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c a)) (*.f64 b b))))))
✓cost-diff0
(*.f64 c a)
✓cost-diff0
(/.f64 (*.f64 c a) b)
✓cost-diff0
(-.f64 b (/.f64 (*.f64 c a) b))
✓cost-diff128
(/.f64 (-.f64 b (/.f64 (*.f64 c a) b)) a)
✓cost-diff0
(/.f64 b a)
✓cost-diff0
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
✓cost-diff0
(/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (*.f64 #s(literal 2 binary64) a))
✓cost-diff128
(+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))))
Rules
5 776×accelerator-lowering-fma.f32
5 776×accelerator-lowering-fma.f64
4 666×*-lowering-*.f32
4 666×*-lowering-*.f64
2 250×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035308
181302
2196302
3683294
42401294
54131294
65334294
08077279
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (+ (neg b) (/ 1 (sqrt (/ 1 (+ (* b b) (* c (* a -4))))))) (* 2 a))
(+ (neg b) (/ 1 (sqrt (/ 1 (+ (* b b) (* c (* a -4)))))))
(neg b)
b
(/ 1 (sqrt (/ 1 (+ (* b b) (* c (* a -4))))))
1
(sqrt (/ 1 (+ (* b b) (* c (* a -4)))))
(/ 1 (+ (* b b) (* c (* a -4))))
(+ (* b b) (* c (* a -4)))
(* b b)
(* c (* a -4))
c
(* a -4)
a
-4
(* 2 a)
2
(/ b a)
b
a
(/ (- b (/ (* c a) b)) a)
(- b (/ (* c a) b))
b
(/ (* c a) b)
(* c a)
c
a
(/ 1/2 (/ a (* b (+ 2 (/ (* -2 (* c a)) (* b b))))))
1/2
(/ a (* b (+ 2 (/ (* -2 (* c a)) (* b b)))))
a
(* b (+ 2 (/ (* -2 (* c a)) (* b b))))
b
(+ 2 (/ (* -2 (* c a)) (* b b)))
2
(/ (* -2 (* c a)) (* b b))
(* -2 (* c a))
-2
(* c a)
c
(* b b)
(/ 1/2 (* (/ 1 (+ b (sqrt (+ (* b b) (* c (* a -4)))))) a))
1/2
(* (/ 1 (+ b (sqrt (+ (* b b) (* c (* a -4)))))) a)
(/ 1 (+ b (sqrt (+ (* b b) (* c (* a -4))))))
1
(+ b (sqrt (+ (* b b) (* c (* a -4)))))
b
(sqrt (+ (* b b) (* c (* a -4))))
(+ (* b b) (* c (* a -4)))
(* b b)
(* c (* a -4))
c
(* a -4)
a
-4
Outputs
(/ (+ (neg b) (/ 1 (sqrt (/ 1 (+ (* b b) (* c (* a -4))))))) (* 2 a))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))) b) (*.f64 a #s(literal 2 binary64)))
(+ (neg b) (/ 1 (sqrt (/ 1 (+ (* b b) (* c (* a -4)))))))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))) b)
(neg b)
(-.f64 #s(literal 0 binary64) b)
b
(/ 1 (sqrt (/ 1 (+ (* b b) (* c (* a -4))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))
1
#s(literal 1 binary64)
(sqrt (/ 1 (+ (* b b) (* c (* a -4)))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))
(/ 1 (+ (* b b) (* c (* a -4))))
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))
(+ (* b b) (* c (* a -4)))
(+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))
(* b b)
(*.f64 b b)
(* c (* a -4))
(*.f64 a (*.f64 c #s(literal -4 binary64)))
c
(* a -4)
(*.f64 a #s(literal -4 binary64))
a
-4
#s(literal -4 binary64)
(* 2 a)
(*.f64 a #s(literal 2 binary64))
2
#s(literal 2 binary64)
(/ b a)
(/.f64 b a)
b
a
(/ (- b (/ (* c a) b)) a)
(-.f64 (/.f64 b a) (/.f64 c b))
(- b (/ (* c a) b))
(-.f64 b (/.f64 (*.f64 c a) b))
b
(/ (* c a) b)
(/.f64 (*.f64 c a) b)
(* c a)
(*.f64 c a)
c
a
(/ 1/2 (/ a (* b (+ 2 (/ (* -2 (* c a)) (* b b))))))
(-.f64 (/.f64 b a) (/.f64 c b))
1/2
#s(literal 1/2 binary64)
(/ a (* b (+ 2 (/ (* -2 (* c a)) (* b b)))))
(/.f64 a (+.f64 (*.f64 b #s(literal 2 binary64)) (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b)))
a
(* b (+ 2 (/ (* -2 (* c a)) (* b b))))
(+.f64 (*.f64 b #s(literal 2 binary64)) (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b))
b
(+ 2 (/ (* -2 (* c a)) (* b b)))
(+.f64 #s(literal 2 binary64) (/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b) b))
2
#s(literal 2 binary64)
(/ (* -2 (* c a)) (* b b))
(/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b) b)
(* -2 (* c a))
(*.f64 c (*.f64 a #s(literal -2 binary64)))
-2
#s(literal -2 binary64)
(* c a)
(*.f64 c a)
c
(* b b)
(*.f64 b b)
(/ 1/2 (* (/ 1 (+ b (sqrt (+ (* b b) (* c (* a -4)))))) a))
(*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (/.f64 #s(literal 1/2 binary64) a))
1/2
#s(literal 1/2 binary64)
(* (/ 1 (+ b (sqrt (+ (* b b) (* c (* a -4)))))) a)
(/.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))
(/ 1 (+ b (sqrt (+ (* b b) (* c (* a -4))))))
(/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))
1
#s(literal 1 binary64)
(+ b (sqrt (+ (* b b) (* c (* a -4)))))
(+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))
b
(sqrt (+ (* b b) (* c (* a -4))))
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))
(+ (* b b) (* c (* a -4)))
(+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))
(* b b)
(*.f64 b b)
(* c (* a -4))
(*.f64 a (*.f64 c #s(literal -4 binary64)))
c
(* a -4)
(*.f64 a #s(literal -4 binary64))
a
-4
#s(literal -4 binary64)

localize201.0ms (1.8%)

Memory
12.2MiB live, 209.7MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy98.7%
(+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))
✓accuracy91.0%
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) a)
✓accuracy80.2%
(+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))
✓accuracy53.7%
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))
✓accuracy99.6%
(/.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c a)) (*.f64 b b))))))
✓accuracy94.5%
(*.f64 b (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c a)) (*.f64 b b))))
✓accuracy94.1%
(/.f64 a (*.f64 b (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c a)) (*.f64 b b)))))
✓accuracy83.8%
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c a)) (*.f64 b b))
✓accuracy100.0%
(*.f64 c a)
✓accuracy100.0%
(-.f64 b (/.f64 (*.f64 c a) b))
✓accuracy94.6%
(/.f64 (*.f64 c a) b)
✓accuracy94.1%
(/.f64 (-.f64 b (/.f64 (*.f64 c a) b)) a)
✓accuracy100.0%
(/.f64 b a)
✓accuracy98.7%
(+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))
✓accuracy92.9%
(/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (*.f64 #s(literal 2 binary64) a))
✓accuracy81.4%
(+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))))
✓accuracy54.8%
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))
Samples
54.0ms84×2valid
31.0ms70×1valid
30.0ms79×0valid
23.0ms23×3valid
Compiler

Compiled 318 to 37 computations (88.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 99.0ms
ival-mult: 35.0ms (35.4% of total)
ival-div: 33.0ms (33.4% of total)
ival-add: 10.0ms (10.1% of total)
adjust: 8.0ms (8.1% of total)
ival-sqrt: 8.0ms (8.1% of total)
ival-neg: 2.0ms (2% of total)
exact: 1.0ms (1% of total)
ival-sub: 1.0ms (1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series76.0ms (0.7%)

Memory
-14.2MiB live, 64.9MiB allocated
Counts
20 → 696
Calls
Call 1
Inputs
#<alt (+ (neg b) (/ 1 (sqrt (/ 1 (+ (* b b) (* c (* a -4)))))))>
#<alt (/ (+ (neg b) (/ 1 (sqrt (/ 1 (+ (* b b) (* c (* a -4))))))) (* 2 a))>
#<alt (/ 1 (sqrt (/ 1 (+ (* b b) (* c (* a -4))))))>
#<alt (sqrt (/ 1 (+ (* b b) (* c (* a -4)))))>
#<alt (/ b a)>
#<alt (/ (- b (/ (* c a) b)) a)>
#<alt (- b (/ (* c a) b))>
#<alt (/ (* c a) b)>
#<alt (* c a)>
#<alt (/ 1/2 (/ a (* b (+ 2 (/ (* -2 (* c a)) (* b b))))))>
#<alt (* b (+ 2 (/ (* -2 (* c a)) (* b b))))>
#<alt (/ a (* b (+ 2 (/ (* -2 (* c a)) (* b b)))))>
#<alt (+ 2 (/ (* -2 (* c a)) (* b b)))>
#<alt (* (/ 1 (+ b (sqrt (+ (* b b) (* c (* a -4)))))) a)>
#<alt (/ 1/2 (* (/ 1 (+ b (sqrt (+ (* b b) (* c (* a -4)))))) a))>
#<alt (/ 1 (+ b (sqrt (+ (* b b) (* c (* a -4))))))>
#<alt (+ b (sqrt (+ (* b b) (* c (* a -4)))))>
#<alt (+ (* b b) (* c (* a -4)))>
#<alt (/ (* -2 (* c a)) (* b b))>
#<alt (sqrt (+ (* b b) (* c (* a -4))))>
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))))))>
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#<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))))))>
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#<alt (/ 1 b)>
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#<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 (/ 1 b)>
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#<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)))))>
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#<alt (/ b a)>
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#<alt (/ (- (pow b 2) (* a c)) b)>
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#<alt b>
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#<alt (* b (+ 1 (* -1 (/ (* a c) (pow b 2)))))>
#<alt (* b (+ 1 (* -1 (/ (* a c) (pow b 2)))))>
#<alt b>
#<alt (* -1 (* b (- (/ (* a c) (pow b 2)) 1)))>
#<alt (* -1 (* b (- (/ (* a c) (pow b 2)) 1)))>
#<alt (* -1 (* b (- (/ (* a c) (pow b 2)) 1)))>
#<alt b>
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#<alt (+ b (* -1 (/ (* a c) b)))>
#<alt (+ b (* -1 (/ (* a c) b)))>
#<alt (* -1 (/ (* a c) b))>
#<alt (* c (- (/ b c) (/ a b)))>
#<alt (* c (- (/ b c) (/ a b)))>
#<alt (* c (- (/ b c) (/ a b)))>
#<alt (* -1 (/ (* a c) b))>
#<alt (* -1 (* c (- (* -1 (/ b c)) (* -1 (/ a b)))))>
#<alt (* -1 (* c (- (* -1 (/ b c)) (* -1 (/ a b)))))>
#<alt (* -1 (* c (- (* -1 (/ b c)) (* -1 (/ a b)))))>
#<alt b>
#<alt (+ b (* -1 (/ (* a c) b)))>
#<alt (+ b (* -1 (/ (* a c) b)))>
#<alt (+ b (* -1 (/ (* a c) b)))>
#<alt (* -1 (/ (* a c) b))>
#<alt (* a (- (/ b a) (/ c b)))>
#<alt (* a (- (/ b a) (/ c b)))>
#<alt (* a (- (/ b a) (/ c b)))>
#<alt (* -1 (/ (* a c) b))>
#<alt (* -1 (* a (- (* -1 (/ b a)) (* -1 (/ c b)))))>
#<alt (* -1 (* a (- (* -1 (/ b a)) (* -1 (/ c b)))))>
#<alt (* -1 (* a (- (* -1 (/ b a)) (* -1 (/ c b)))))>
#<alt (/ (* a c) b)>
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#<alt (/ (* a c) b)>
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#<alt (/ (* a c) b)>
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#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
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#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
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#<alt (* a c)>
#<alt (* a c)>
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#<alt (* a c)>
#<alt (* a c)>
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#<alt (* a c)>
#<alt (/ b a)>
#<alt (/ (+ b (* -1 (/ (* a c) b))) a)>
#<alt (/ (+ b (* -1 (/ (* a c) b))) a)>
#<alt (/ (+ b (* -1 (/ (* a c) b))) a)>
#<alt (* -1 (/ c b))>
#<alt (+ (* -1 (/ c b)) (/ b a))>
#<alt (+ (* -1 (/ c b)) (/ b a))>
#<alt (+ (* -1 (/ c b)) (/ b a))>
#<alt (* -1 (/ c b))>
#<alt (+ (* -1 (/ c b)) (/ b a))>
#<alt (+ (* -1 (/ c b)) (/ b a))>
#<alt (+ (* -1 (/ c b)) (/ b a))>
#<alt (* -1 (/ c b))>
#<alt (/ (+ (* -1 c) (/ (pow b 2) a)) b)>
#<alt (/ (+ (* -1 c) (/ (pow b 2) a)) b)>
#<alt (/ (+ (* -1 c) (/ (pow b 2) a)) b)>
#<alt (/ b a)>
#<alt (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))>
#<alt (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))>
#<alt (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))>
#<alt (/ b a)>
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#<alt (* -1 (* b (- (/ c (pow b 2)) (/ 1 a))))>
#<alt (/ b a)>
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#<alt (* c (- (/ b (* a c)) (/ 1 b)))>
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#<alt (* -1 (/ c b))>
#<alt (* -1 (* c (+ (* -1 (/ b (* a c))) (/ 1 b))))>
#<alt (* -1 (* c (+ (* -1 (/ b (* a c))) (/ 1 b))))>
#<alt (* -1 (* c (+ (* -1 (/ b (* a c))) (/ 1 b))))>
#<alt (* -2 (/ (* a c) b))>
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#<alt (* 2 b)>
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#<alt (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))>
#<alt (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))>
#<alt (* 2 b)>
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#<alt (* c (+ (* -2 (/ a b)) (* 2 (/ b c))))>
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#<alt (* 2 b)>
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#<alt 2>
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#<alt 2>
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#<alt (+ (* b (- (* b (- (* b (- (* 1/2 (/ 1 (* a (* (pow c 2) (pow (sqrt -4) 4))))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4)))))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))))) (/ 1 (* c (pow (sqrt -4) 2))))) (* (sqrt (/ a c)) (/ 1 (sqrt -4))))>
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#<alt (/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (* -1/2 (/ (* (pow b 3) (pow c 2)) (* a (pow (sqrt -4) 4))))) (pow c 3))) (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (/ b (pow (sqrt -4) 2))))) c)>
#<alt (* -1/2 (* (sqrt (/ a c)) (sqrt -1)))>
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#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1))))))))) (* -1/32 (/ (* (pow b 3) c) a))) (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))))) c)) (* -1/4 (* b c))) c)) (* 1/2 (* (sqrt (* a c)) (sqrt -1)))) c))>
#<alt (* 1/2 (/ a b))>
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#<alt (* (sqrt (/ a c)) (/ 1 (sqrt -4)))>
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#<alt (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (* -1/2 (/ (* (pow a 2) (pow b 3)) (* (pow c 2) (pow (sqrt -4) 4))))) (pow a 3))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (/ b (* c (pow (sqrt -4) 2))))))>
#<alt (* -1/2 (* (sqrt (/ a c)) (sqrt -1)))>
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#<alt (+ (* -1 (/ (- (+ (* -1/16 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1))))) (* 1/4 (/ (* a b) c))) a)) (* -1/2 (* (sqrt (/ a c)) (sqrt -1))))>
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#<alt (/ b a)>
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#<alt (/ c b)>
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#<alt (/ b a)>
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#<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 (* 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 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))))))))>
Calls

174 calls:

TimeVariablePointExpression
12.0ms
a
@-inf
(/ 1 (+ b (sqrt (+ (* b b) (* c (* a -4))))))
11.0ms
a
@inf
(/ 1/2 (/ a (* b (+ 2 (/ (* -2 (* c a)) (* b b))))))
1.0ms
b
@0
(sqrt (/ 1 (+ (* b b) (* c (* a -4)))))
1.0ms
c
@inf
(sqrt (/ 1 (+ (* b b) (* c (* a -4)))))
1.0ms
c
@-inf
(/ 1 (+ b (sqrt (+ (* b b) (* c (* a -4))))))

rewrite482.0ms (4.2%)

Memory
-2.7MiB live, 757.9MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 896×/-lowering-/.f32
4 896×/-lowering-/.f64
4 772×*-lowering-*.f32
4 772×*-lowering-*.f64
3 974×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035239
1215216
21886210
08249196
Stop Event
1×iter limit
1×node limit
Counts
20 → 1 075
Calls
Call 1
Inputs
(+ (neg b) (/ 1 (sqrt (/ 1 (+ (* b b) (* c (* a -4)))))))
(/ (+ (neg b) (/ 1 (sqrt (/ 1 (+ (* b b) (* c (* a -4))))))) (* 2 a))
(/ 1 (sqrt (/ 1 (+ (* b b) (* c (* a -4))))))
(sqrt (/ 1 (+ (* b b) (* c (* a -4)))))
(/ b a)
(/ (- b (/ (* c a) b)) a)
(- b (/ (* c a) b))
(/ (* c a) b)
(* c a)
(/ 1/2 (/ a (* b (+ 2 (/ (* -2 (* c a)) (* b b))))))
(* b (+ 2 (/ (* -2 (* c a)) (* b b))))
(/ a (* b (+ 2 (/ (* -2 (* c a)) (* b b)))))
(+ 2 (/ (* -2 (* c a)) (* b b)))
(* (/ 1 (+ b (sqrt (+ (* b b) (* c (* a -4)))))) a)
(/ 1/2 (* (/ 1 (+ b (sqrt (+ (* b b) (* c (* a -4)))))) a))
(/ 1 (+ b (sqrt (+ (* b b) (* c (* a -4))))))
(+ b (sqrt (+ (* b b) (* c (* a -4)))))
(+ (* b b) (* c (* a -4)))
(/ (* -2 (* c a)) (* b b))
(sqrt (+ (* b b) (* c (* a -4))))
Outputs
(+.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))))
(+.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (-.f64 #s(literal 0 binary64) b))
(-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))) b)
(-.f64 #s(literal 0 binary64) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))))
(-.f64 (/.f64 (*.f64 b b) (-.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))))) (/.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) (-.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))))))
(-.f64 (+.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))) #s(literal 0 binary64)) b)
(-.f64 (/.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (-.f64 #s(literal 0 binary64) b))) (/.f64 (*.f64 b b) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (-.f64 #s(literal 0 binary64) b))))
(fma.f64 b #s(literal -1 binary64) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (-.f64 #s(literal 0 binary64) b))
(fma.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))) #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) b))
(fma.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) b))
(fma.f64 #s(literal -1 binary64) b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) b))
(fma.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 (*.f64 c a) (*.f64 (*.f64 c a) (*.f64 c a))) #s(literal -64 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (*.f64 b b))))) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) b))
(fma.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 (*.f64 c a) (*.f64 (*.f64 c a) (*.f64 c a))) #s(literal -64 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (*.f64 b b)))))) (-.f64 #s(literal 0 binary64) b))
(fma.f64 (sqrt.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 #s(literal 16 binary64) (*.f64 (*.f64 c a) (*.f64 c a))))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) b))
(fma.f64 (sqrt.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 #s(literal 16 binary64) (*.f64 (*.f64 c a) (*.f64 c a))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (-.f64 #s(literal 0 binary64) b))
(fma.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) #s(literal 1/4 binary64)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) #s(literal 1/4 binary64)) (-.f64 #s(literal 0 binary64) b))
(fma.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (-.f64 #s(literal 0 binary64) b))
(fma.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) b))
(fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 (*.f64 c a) (*.f64 (*.f64 c a) (*.f64 c a))) #s(literal -64 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (*.f64 b b)))) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) b))
(fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 #s(literal 16 binary64) (*.f64 (*.f64 c a) (*.f64 c a))))) #s(literal -1/2 binary64)) (pow.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) b))
(fma.f64 (pow.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) #s(literal -1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) #s(literal -1/4 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) b))
(fma.f64 (sqrt.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (sqrt.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (-.f64 #s(literal 0 binary64) b))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 b b) (+.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) (*.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))))) (+.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (*.f64 b b) (+.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) (*.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))))) (+.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))))))
(/.f64 (+.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b))) (+.f64 (*.f64 b b) (+.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) (*.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))))))
(/.f64 (+.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b))) (+.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) (-.f64 (*.f64 b b) (/.f64 (-.f64 #s(literal 0 binary64) b) (pow.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) #s(literal -1/2 binary64))))))
(/.f64 (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (-.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b)))) (neg.f64 (+.f64 (*.f64 b b) (+.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) (*.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b)))) (neg.f64 (+.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) (-.f64 (*.f64 b b) (/.f64 (-.f64 #s(literal 0 binary64) b) (pow.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) #s(literal -1/2 binary64)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (neg.f64 (-.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))))))
(/.f64 (-.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) (*.f64 b b)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (-.f64 #s(literal 0 binary64) b)))
(/.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) #s(literal -1/2 binary64))) (*.f64 (+.f64 #s(literal 0 binary64) b) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 0 binary64) b) (pow.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) #s(literal -1/2 binary64))))
(/.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) #s(literal -1/2 binary64))))) (*.f64 (+.f64 #s(literal 0 binary64) b) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 0 binary64) b) (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) #s(literal -1/2 binary64))))))
(/.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) #s(literal -1/2 binary64)))) (*.f64 (+.f64 #s(literal 0 binary64) b) #s(literal -1 binary64))) (*.f64 (+.f64 #s(literal 0 binary64) b) (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) #s(literal -1/2 binary64)))))
(/.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (sqrt.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (*.f64 b b)))))) (*.f64 (+.f64 #s(literal 0 binary64) b) (sqrt.f64 (+.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 (*.f64 c a) (*.f64 (*.f64 c a) (*.f64 c a))) #s(literal -64 binary64)))))) (*.f64 (+.f64 #s(literal 0 binary64) b) (sqrt.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (*.f64 b b)))))))
(/.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 (+.f64 #s(literal 0 binary64) b) (sqrt.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 #s(literal 16 binary64) (*.f64 (*.f64 c a) (*.f64 c a))))))) (*.f64 (+.f64 #s(literal 0 binary64) b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))))
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(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) #s(literal -1/2 binary64))))))
(/.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 (*.f64 c a) (*.f64 (*.f64 c a) (*.f64 c a))) #s(literal -64 binary64)))) (sqrt.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (*.f64 b b))))))
(/.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 (*.f64 c a) (*.f64 (*.f64 c a) (*.f64 c a))) #s(literal -64 binary64)))) (sqrt.f64 (+.f64 (*.f64 #s(literal 16 binary64) (*.f64 (*.f64 c a) (*.f64 c a))) (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 b (*.f64 b (*.f64 #s(literal -4 binary64) (*.f64 c a))))))))
(/.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 (*.f64 c a) (*.f64 (*.f64 c a) (*.f64 c a))) #s(literal -64 binary64)))) (sqrt.f64 (*.f64 #s(literal 1 binary64) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (*.f64 b b)))))))
(/.f64 (sqrt.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 #s(literal 16 binary64) (*.f64 (*.f64 c a) (*.f64 c a))))) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))))
(/.f64 (sqrt.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 #s(literal 16 binary64) (*.f64 (*.f64 c a) (*.f64 c a))))) (sqrt.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) #s(literal -1/2 binary64))))))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) #s(literal -1/2 binary64))) (pow.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) #s(literal -1/2 binary64)))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (sqrt.f64 #s(literal -1 binary64)))
(/.f64 (neg.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) #s(literal -1 binary64))
(/.f64 (sqrt.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (sqrt.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) #s(literal -1/2 binary64))))
(/.f64 (sqrt.f64 (neg.f64 (+.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 (*.f64 c a) (*.f64 (*.f64 c a) (*.f64 c a))) #s(literal -64 binary64))))) (sqrt.f64 (neg.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (*.f64 b b)))))))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 #s(literal 16 binary64) (*.f64 (*.f64 c a) (*.f64 c a)))))) (sqrt.f64 (neg.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))))
(/.f64 (sqrt.f64 (-.f64 (*.f64 #s(literal 16 binary64) (*.f64 (*.f64 c a) (*.f64 c a))) (*.f64 b (*.f64 b (*.f64 b b))))) (sqrt.f64 (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (*.f64 b b))))
(/.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))))) (sqrt.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) #s(literal -1/2 binary64)))))
(/.f64 (sqrt.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))) #s(literal -1 binary64))) (sqrt.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 (*.f64 c a) (*.f64 (*.f64 c a) (*.f64 c a))) #s(literal -64 binary64))))) (neg.f64 (sqrt.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (*.f64 b b)))))))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 #s(literal 16 binary64) (*.f64 (*.f64 c a) (*.f64 c a)))))) (neg.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))))
(pow.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(pow.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))) #s(literal 1 binary64))
(pow.f64 (*.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))) #s(literal 1/4 binary64))
(pow.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) #s(literal -1/2 binary64)))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))))
(*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) #s(literal -1/2 binary64))))
(*.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 (*.f64 c a) (*.f64 (*.f64 c a) (*.f64 c a))) #s(literal -64 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (*.f64 b b))))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 (*.f64 c a) (*.f64 (*.f64 c a) (*.f64 c a))) #s(literal -64 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (*.f64 b b)))))))
(*.f64 (sqrt.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 #s(literal 16 binary64) (*.f64 (*.f64 c a) (*.f64 c a))))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 #s(literal 16 binary64) (*.f64 (*.f64 c a) (*.f64 c a))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))))
(*.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) #s(literal 1/4 binary64)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 (*.f64 c a) (*.f64 (*.f64 c a) (*.f64 c a))) #s(literal -64 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (*.f64 b b)))) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 #s(literal 16 binary64) (*.f64 (*.f64 c a) (*.f64 c a))))) #s(literal -1/2 binary64)) (pow.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) #s(literal -1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) #s(literal -1/4 binary64)) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (sqrt.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))))

simplify494.0ms (4.3%)

Memory
17.1MiB live, 1 002.8MiB allocated
Algorithm
1×egg-herbie
Rules
8 134×*-lowering-*.f32
8 134×*-lowering-*.f64
6 906×accelerator-lowering-fma.f32
6 906×accelerator-lowering-fma.f64
4 472×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0154212963
1512212643
0920912153
Stop Event
1×iter limit
1×node limit
Counts
696 → 696
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))
(* 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))))))
(* 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)))))
(* -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)))
(* (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))))))
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(* -1/2 (/ b c))
(* -1 (/ (+ (* 1/2 b) (* 1/2 (/ (pow b 3) (* a c)))) c))
(* -1 (/ (+ (* -1 (/ (- (* -1/2 (/ (pow b 5) (* (pow a 2) c))) (* 1/2 (/ (pow b 3) a))) c)) (* 1/2 b)) c))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow b 7) (* (pow a 3) c))) (* -1/2 (/ (pow b 5) (pow a 2)))) c)) (* 1/2 (/ (pow b 3) a))) c)) (* 1/2 b)) c))
2
(+ 2 (* -2 (/ (* a c) (pow b 2))))
(+ 2 (* -2 (/ (* a c) (pow b 2))))
(+ 2 (* -2 (/ (* a c) (pow b 2))))
(* -2 (/ (* a c) (pow b 2)))
(* c (+ (* -2 (/ a (pow b 2))) (* 2 (/ 1 c))))
(* c (+ (* -2 (/ a (pow b 2))) (* 2 (/ 1 c))))
(* c (+ (* -2 (/ a (pow b 2))) (* 2 (/ 1 c))))
(* -2 (/ (* a c) (pow b 2)))
(* -1 (* c (- (* 2 (/ a (pow b 2))) (* 2 (/ 1 c)))))
(* -1 (* c (- (* 2 (/ a (pow b 2))) (* 2 (/ 1 c)))))
(* -1 (* c (- (* 2 (/ a (pow b 2))) (* 2 (/ 1 c)))))
2
(+ 2 (* -2 (/ (* a c) (pow b 2))))
(+ 2 (* -2 (/ (* a c) (pow b 2))))
(+ 2 (* -2 (/ (* a c) (pow b 2))))
(* -2 (/ (* a c) (pow b 2)))
(* a (+ (* -2 (/ c (pow b 2))) (* 2 (/ 1 a))))
(* a (+ (* -2 (/ c (pow b 2))) (* 2 (/ 1 a))))
(* a (+ (* -2 (/ c (pow b 2))) (* 2 (/ 1 a))))
(* -2 (/ (* a c) (pow b 2)))
(* -1 (* a (- (* 2 (/ c (pow b 2))) (* 2 (/ 1 a)))))
(* -1 (* a (- (* 2 (/ c (pow b 2))) (* 2 (/ 1 a)))))
(* -1 (* a (- (* 2 (/ c (pow b 2))) (* 2 (/ 1 a)))))
(* -2 (/ (* a c) (pow b 2)))
(/ (+ (* -2 (* a c)) (* 2 (pow b 2))) (pow b 2))
(/ (+ (* -2 (* a c)) (* 2 (pow b 2))) (pow b 2))
(/ (+ (* -2 (* a c)) (* 2 (pow b 2))) (pow b 2))
2
(+ 2 (* -2 (/ (* a c) (pow b 2))))
(+ 2 (* -2 (/ (* a c) (pow b 2))))
(+ 2 (* -2 (/ (* a c) (pow b 2))))
2
(+ 2 (* -2 (/ (* a c) (pow b 2))))
(+ 2 (* -2 (/ (* a c) (pow b 2))))
(+ 2 (* -2 (/ (* a c) (pow b 2))))
(* (sqrt (/ a c)) (/ 1 (sqrt -4)))
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(* 1/2 (/ a b))
(/ (+ (* 1/2 a) (* 1/2 (/ (* (pow a 2) c) (pow b 2)))) b)
(/ (- (+ (* 1/2 a) (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* -1/2 (/ (* (pow a 2) c) (pow b 2)))) b)
(/ (- (+ (* -1 (/ (+ (* -2 (* (pow a 4) (pow c 3))) (* -1/2 (* (pow a 4) (pow c 3)))) (pow b 6))) (* 1/2 a)) (+ (* -1 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* -1/2 (/ (* (pow a 2) c) (pow b 2))))) b)
(* 1/2 (/ b c))
(* -1 (* b (- (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c)))))
(* -1 (* b (- (* -1 (/ (+ (* -1 (* (pow a 2) c)) (* 1/2 (* (pow a 2) c))) (pow b 4))) (+ (* -1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c))))))
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(* 1/2 (/ a b))
(+ (* 1/2 (/ a b)) (* 1/2 (/ (* (pow a 2) c) (pow b 3))))
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(* (sqrt (/ a c)) (/ 1 (sqrt -4)))
(/ (+ (* -1 (/ b (pow (sqrt -4) 2))) (* (sqrt (* a c)) (/ 1 (sqrt -4)))) c)
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2))) (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (/ b (pow (sqrt -4) 2))) c)
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (* -1/2 (/ (* (pow b 3) (pow c 2)) (* a (pow (sqrt -4) 4))))) (pow c 3))) (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (/ b (pow (sqrt -4) 2))))) c)
(* -1/2 (* (sqrt (/ a c)) (sqrt -1)))
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(* 1/2 (/ a b))
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(* (sqrt (/ a c)) (/ 1 (sqrt -4)))
(+ (* -1 (/ b (* c (pow (sqrt -4) 2)))) (* (sqrt (/ a c)) (/ 1 (sqrt -4))))
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(* -1/2 (* (sqrt (/ a c)) (sqrt -1)))
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(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/16 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1))))))))) (* 1/32 (/ (* a (pow b 3)) (pow c 2)))) (+ (* -1/16 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))))) a)) (* 1/4 (/ (* a b) c))) a)) (* -1/2 (* (sqrt (/ a c)) (sqrt -1))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* 1/2 (/ 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)))))
(+ (* 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)))))
(/ b a)
(* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))
(* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))
(* 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)))))
(/ c b)
(* -1 (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b))
(* -1 (/ (+ (* -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))
(/ b a)
(+ (* -1 (/ c b)) (/ b a))
(+ (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) (/ b a))
(+ (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) (/ b a))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* 1/2 (/ b (* a c)))))
(* c (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* 1/2 (/ b (* a c))))))
(* 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))) (* 1/2 (/ b (* a c)))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* -1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 1/2 (/ b a))) 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 a)
(/ (+ b (* -1 (/ (* a c) b))) a)
(/ (+ b (* a (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))))) a)
(/ (+ 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 (* (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))) (* 1/2 (/ b a)))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* 1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1/2 b) (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) 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)))
(* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))
(+ (* -1 (/ b (* a (* c (pow (sqrt -4) 2))))) (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))
(+ (* b (- (* -1 (* b (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))))) (/ 1 (* a (* c (pow (sqrt -4) 2)))))) (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))
(+ (* b (- (* b (- (* b (- (* 1/2 (/ 1 (* (pow a 2) (* (pow c 2) (pow (sqrt -4) 4))))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4)))))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))))) (/ 1 (* a (* c (pow (sqrt -4) 2)))))) (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))
(/ 1/2 b)
(/ (+ 1/2 (* 1/2 (/ (* a c) (pow b 2)))) b)
(/ (- (+ 1/2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -1/2 (/ (* a c) (pow b 2)))) b)
(/ (- (+ 1/2 (* -1 (/ (+ (* -2 (* (pow a 3) (pow c 3))) (* -1/2 (* (pow a 3) (pow c 3)))) (pow b 6)))) (+ (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -1/2 (/ (* a c) (pow b 2))))) b)
(* 1/2 (/ b (* a c)))
(* -1 (* b (- (* 1/2 (/ 1 (pow b 2))) (* 1/2 (/ 1 (* a c))))))
(* -1 (* b (- (+ (* -1 (/ (+ (* -1 (* a c)) (* 1/2 (* a c))) (pow b 4))) (* 1/2 (/ 1 (pow b 2)))) (* 1/2 (/ 1 (* a c))))))
(* -1 (* b (- (+ (* -1 (/ (+ (* -1 (* a (* c (+ (* -1 (* a c)) (* 1/2 (* a c)))))) (+ (* -1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) (pow c 2)))) (* (pow a 2) (pow c 2)))) (pow b 6))) (* 1/2 (/ 1 (pow b 2)))) (+ (* -1 (/ (* a c) (pow b 4))) (+ (* 1/2 (/ (* a c) (pow b 4))) (* 1/2 (/ 1 (* a c))))))))
(/ 1/2 b)
(+ (* 1/2 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))
(+ (* c (- (/ (* (pow a 2) c) (pow b 5)) (* -1/2 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))
(+ (* c (- (* c (- (* -1 (* c (+ (* -2 (/ (pow a 3) (pow b 7))) (* -1/2 (/ (pow a 3) (pow b 7)))))) (* -1 (/ (pow a 2) (pow b 5))))) (* -1/2 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))
(* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))
(/ (+ (* -1 (/ b (* a (pow (sqrt -4) 2)))) (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) c)
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2))) (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (/ b (* a (pow (sqrt -4) 2)))) c)
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (* -1/2 (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -4) 4))))) (pow c 3))) (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (/ b (* a (pow (sqrt -4) 2)))))) c)
(* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))
(* -1 (/ (+ (* -1/4 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -1)))) c))
(* -1 (/ (+ (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (* -1/4 (/ (* b c) a))) c)) (* 1/2 (* (sqrt (/ c a)) (sqrt -1)))) c))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1))))))))) (* -1/32 (/ (* (pow b 3) c) (pow a 2)))) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))) c)) (* -1/4 (/ (* b c) a))) c)) (* 1/2 (* (sqrt (/ c a)) (sqrt -1)))) c))
(/ 1/2 b)
(+ (* 1/2 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))
(+ (* a (- (/ (* a (pow c 2)) (pow b 5)) (* -1/2 (/ c (pow b 3))))) (* 1/2 (/ 1 b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -2 (/ (pow c 3) (pow b 7))) (* -1/2 (/ (pow c 3) (pow b 7)))))) (* -1 (/ (pow c 2) (pow b 5))))) (* -1/2 (/ c (pow b 3))))) (* 1/2 (/ 1 b)))
(* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))
(/ (+ (* -1 (/ b (* c (pow (sqrt -4) 2)))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) a)
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (/ b (* c (pow (sqrt -4) 2)))) a)
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (* -1/2 (/ (* (pow a 2) (pow b 3)) (* (pow c 2) (pow (sqrt -4) 4))))) (pow a 3))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (/ b (* c (pow (sqrt -4) 2)))))) a)
(* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))
(* -1 (/ (+ (* -1/4 (/ b c)) (* 1/2 (* (sqrt (/ a c)) (sqrt -1)))) a))
(* -1 (/ (+ (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1))))) (* -1/4 (/ (* a b) c))) a)) (* 1/2 (* (sqrt (/ a c)) (sqrt -1)))) a))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1))))))))) (* -1/32 (/ (* a (pow b 3)) (pow c 2)))) (+ (* -1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))))) a)) (* -1/4 (/ (* a b) c))) a)) (* 1/2 (* (sqrt (/ a c)) (sqrt -1)))) a))
(* (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 b)
(* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* 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))
(* -1 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ (* -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 (/ (+ (* -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)
(+ (* -2 (/ (* a c) b)) (* 2 b))
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ (* 2 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 (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))
(* 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 (+ (* -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))))))
(* 2 b)
(+ (* -2 (/ (* a c) b)) (* 2 b))
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ (* 2 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 (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))
(* 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 (+ (* -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))))))
(* -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))
(* 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))))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* (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 (* 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))))))))
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)))
(-.f64 (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) b)
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(+.f64 (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) (*.f64 b (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) #s(literal -1 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)))
(+.f64 (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) (*.f64 b (+.f64 (*.f64 b (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (*.f64 c (*.f64 c c)))) (*.f64 (/.f64 b (sqrt.f64 #s(literal -4 binary64))) (/.f64 b #s(literal -4 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))))
(* -2 (/ (* a c) b))
(/.f64 (*.f64 (*.f64 a c) #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) (+.f64 (*.f64 a c) (/.f64 (*.f64 (*.f64 a c) (*.f64 a c)) (*.f64 b b)))) 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 (+.f64 (*.f64 #s(literal -2 binary64) (+.f64 (*.f64 a c) (/.f64 (*.f64 (*.f64 a c) (*.f64 a c)) (*.f64 b b)))) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 4 binary64))))) 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 (+.f64 (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal -2 binary64) (+.f64 (*.f64 a c) (/.f64 (*.f64 (*.f64 a c) (*.f64 a c)) (*.f64 b b)))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) #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 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b))
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(*.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 (*.f64 a c) (*.f64 b b)) (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 4 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 #s(literal 0 binary64) (*.f64 b (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 (*.f64 a c) (*.f64 b b)) (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 4 binary64)))))) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c)))) (pow.f64 b #s(literal 6 binary64)))))))
(* -2 (/ (* a c) b))
(/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) b)
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))
(*.f64 c (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 a b) (/.f64 (*.f64 c (*.f64 a a)) (*.f64 b (*.f64 b b))))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))
(*.f64 c (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) a) b) (*.f64 c (+.f64 (*.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)))))))
(* 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 (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) a) b) (*.f64 c (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (*.f64 b (*.f64 b b))) (*.f64 c (+.f64 (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 a (*.f64 a a))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 c (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 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 (-.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c))) (/.f64 b c)))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c)))
(*.f64 c (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))))) (-.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c))) (/.f64 b c))))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c)))
(*.f64 c (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64))))) (pow.f64 b #s(literal 4 binary64))) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))))) (-.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c))) (/.f64 b c)))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))
(*.f64 (+.f64 (/.f64 b c) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64))))) (-.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 (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))))) b) c)) (-.f64 #s(literal 0 binary64) 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 #s(literal 0 binary64) (*.f64 c (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (-.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a))))) (-.f64 #s(literal 0 binary64) c)) b) c))))
(* -2 (/ (* a c) b))
(/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) b)
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))
(*.f64 a (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 c b) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b b))))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))
(*.f64 a (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 c b)) (*.f64 a (+.f64 (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 a (*.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)))))))
(* 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 (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 c b)) (*.f64 a (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b))) (*.f64 a (+.f64 (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)))) 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 (-.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))) (/.f64 b a)))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a)))
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#s(literal 2 binary64)
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#s(literal 2 binary64)
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#s(literal 2 binary64)
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(*.f64 a (+.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))) (*.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))))))
(* 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 (+.f64 (+.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))) (*.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 #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 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (*.f64 c (*.f64 c c))))))))
(* 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 (+.f64 (*.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 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (*.f64 c (*.f64 c c)))))) (+.f64 (+.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))) (*.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 #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 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64))) (pow.f64 c #s(literal 5 binary64)))))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(*.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a)))))))) (-.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 (+.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a)))))))) (*.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (*.f64 c (*.f64 c c)))))))))
(* -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 (+.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (*.f64 c (*.f64 c c)))))) (*.f64 #s(literal 1/512 binary64) (*.f64 (*.f64 (pow.f64 b #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64))) (pow.f64 c #s(literal 5 binary64))))))) (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))))))) (-.f64 #s(literal 0 binary64) a))

eval574.0ms (5.1%)

Memory
-165.2MiB live, 475.8MiB allocated
Compiler

Compiled 51 078 to 6 673 computations (86.9% saved)

prune256.0ms (2.2%)

Memory
-6.9MiB live, 608.3MiB allocated
Pruning

35 alts after pruning (32 fresh and 3 done)

PrunedKeptTotal
New1 914151 929
Fresh41721
Picked415
Done022
Total1 922351 957
Accuracy
93.3%
Counts
1 957 → 35
Alt Table
Click to see full alt table
StatusAccuracyProgram
12.2%
(/.f64 (/.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) b) (*.f64 (+.f64 #s(literal 0 binary64) b) (*.f64 c a))) (*.f64 (+.f64 #s(literal 0 binary64) b) b)) a)
34.0%
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c (/.f64 (/.f64 c b) b)))) c) b)
1.7%
(/.f64 (-.f64 b (*.f64 (/.f64 a b) c)) a)
38.3%
(/.f64 (+.f64 (neg.f64 b) (/.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a))
39.1%
(/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) b))) (*.f64 #s(literal 2 binary64) a))
31.2%
(/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) (*.f64 #s(literal 2 binary64) a))
32.8%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))
22.7%
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))))
21.6%
(/.f64 (*.f64 (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) #s(literal -1/2 binary64)) (*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) a))
0.9%
(/.f64 (*.f64 (+.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 c (/.f64 a b)) (*.f64 (*.f64 c a) (/.f64 (*.f64 c (/.f64 a b)) b)))) (/.f64 #s(literal 1 binary64) a)) (+.f64 (*.f64 b b) (*.f64 (*.f64 c (/.f64 a b)) (+.f64 b (*.f64 c (/.f64 a b))))))
✓25.4%
(/.f64 (*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b)) (*.f64 #s(literal 2 binary64) a))
1.5%
(/.f64 (*.f64 b (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 a c) (*.f64 b b)))) a)
39.0%
(/.f64 (*.f64 b (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b)) b)))) (*.f64 #s(literal 2 binary64) a))
39.0%
(/.f64 (neg.f64 (-.f64 b (*.f64 c (/.f64 a b)))) a)
▶10.9%
(/.f64 c b)
39.1%
(/.f64 b (-.f64 #s(literal 0 binary64) a))
✓2.1%
(/.f64 b a)
▶50.2%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a #s(literal -1/2 binary64)) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))))
26.8%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 a #s(literal 1/2 binary64)) b) (*.f64 c (/.f64 a #s(literal -1/2 binary64)))))
10.9%
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b #s(literal 1/2 binary64)) c))
▶23.2%
(/.f64 #s(literal 1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
▶1.7%
(/.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b (+.f64 #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 c #s(literal -2 binary64)) b) (/.f64 a b))))))
10.9%
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 b #s(literal 1/2 binary64)) (*.f64 a c)) a))
1.1%
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 a (+.f64 #s(literal 8 binary64) (/.f64 (*.f64 #s(literal -8 binary64) (*.f64 (*.f64 c (/.f64 a b)) (*.f64 (*.f64 c a) (/.f64 (*.f64 c (/.f64 a b)) b)))) (*.f64 b (*.f64 b b))))) (/.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) (*.f64 b b)) #s(literal 2 binary64)) (/.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -2 binary64))))))))))
23.2%
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64))))) a))
2.1%
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) b) a))
11.0%
(/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal -1/2 binary64) (*.f64 a c))))) a))
10.9%
(/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) c))))
▶39.0%
(-.f64 (*.f64 b (/.f64 (/.f64 c b) b)) (/.f64 b a))
38.1%
(-.f64 #s(literal 0 binary64) (*.f64 b (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b)))))
23.9%
(*.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 c a) (/.f64 (*.f64 c (/.f64 a b)) b))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (*.f64 c (/.f64 a b)))) a))
✓50.2%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
32.7%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))))
39.0%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (*.f64 b #s(literal 2 binary64)))
34.2%
(neg.f64 (/.f64 c b))
Compiler

Compiled 1 317 to 805 computations (38.9% saved)

simplify218.0ms (1.9%)

Memory
17.6MiB live, 371.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))
✓cost-diff0
(+.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))))
✓cost-diff0
(/.f64 a (+.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))))
✓cost-diff0
(/.f64 #s(literal 1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
✓cost-diff0
(+.f64 #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 c #s(literal -2 binary64)) b) (/.f64 a b)))
✓cost-diff0
(/.f64 a (*.f64 b (+.f64 #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 c #s(literal -2 binary64)) b) (/.f64 a b)))))
✓cost-diff128
(*.f64 b (+.f64 #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 c #s(literal -2 binary64)) b) (/.f64 a b))))
✓cost-diff512
(/.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b (+.f64 #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 c #s(literal -2 binary64)) b) (/.f64 a b))))))
✓cost-diff0
(/.f64 c b)
✓cost-diff0
(/.f64 (/.f64 c b) b)
✓cost-diff0
(-.f64 (*.f64 b (/.f64 (/.f64 c b) b)) (/.f64 b a))
✓cost-diff256
(*.f64 b (/.f64 (/.f64 c b) b))
✓cost-diff0
(/.f64 c b)
✓cost-diff0
(-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))
✓cost-diff0
(/.f64 a #s(literal -1/2 binary64))
✓cost-diff0
(/.f64 (/.f64 a #s(literal -1/2 binary64)) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))))
✓cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a #s(literal -1/2 binary64)) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))))
Rules
5 312×*-lowering-*.f32
5 312×*-lowering-*.f64
4 660×accelerator-lowering-fma.f32
4 660×accelerator-lowering-fma.f64
1 878×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037249
180249
2190247
3488237
41450232
54101229
65208229
08315221
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ 1 (/ (/ a -1/2) (- b (sqrt (+ (* b b) (* -4 (* a c)))))))
1
(/ (/ a -1/2) (- b (sqrt (+ (* b b) (* -4 (* a c))))))
(/ a -1/2)
a
-1/2
(- b (sqrt (+ (* b b) (* -4 (* a c)))))
b
(sqrt (+ (* b b) (* -4 (* a c))))
(+ (* b b) (* -4 (* a c)))
(* b b)
(* -4 (* a c))
-4
(* a c)
c
(/ c b)
c
b
(- (* b (/ (/ c b) b)) (/ b a))
(* b (/ (/ c b) b))
b
(/ (/ c b) b)
(/ c b)
c
(/ b a)
a
(/ 1/2 (/ a (* b (+ 2 (* (/ (* c -2) b) (/ a b))))))
1/2
(/ a (* b (+ 2 (* (/ (* c -2) b) (/ a b)))))
a
(* b (+ 2 (* (/ (* c -2) b) (/ a b))))
b
(+ 2 (* (/ (* c -2) b) (/ a b)))
2
(* (/ (* c -2) b) (/ a b))
(/ (* c -2) b)
(* c -2)
c
-2
(/ a b)
(/ 1/2 (/ a (+ b (sqrt (* c (* a -4))))))
1/2
(/ a (+ b (sqrt (* c (* a -4)))))
a
(+ b (sqrt (* c (* a -4))))
b
(sqrt (* c (* a -4)))
(* c (* a -4))
c
(* a -4)
-4
Outputs
(/ 1 (/ (/ a -1/2) (- b (sqrt (+ (* b b) (* -4 (* a c)))))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) b)) a)
1
#s(literal 1 binary64)
(/ (/ a -1/2) (- b (sqrt (+ (* b b) (* -4 (* a c))))))
(/.f64 (/.f64 a #s(literal 1/2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) b))
(/ a -1/2)
(/.f64 a #s(literal -1/2 binary64))
a
-1/2
#s(literal -1/2 binary64)
(- b (sqrt (+ (* b b) (* -4 (* a c)))))
(-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))
b
(sqrt (+ (* b b) (* -4 (* a c))))
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))
(+ (* b b) (* -4 (* a c)))
(+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))
(* b b)
(*.f64 b b)
(* -4 (* a c))
(*.f64 #s(literal -4 binary64) (*.f64 a c))
-4
#s(literal -4 binary64)
(* a c)
(*.f64 a c)
c
(/ c b)
(/.f64 c b)
c
b
(- (* b (/ (/ c b) b)) (/ b a))
(-.f64 (/.f64 c b) (/.f64 b a))
(* b (/ (/ c b) b))
(/.f64 c b)
b
(/ (/ c b) b)
(/.f64 c (*.f64 b b))
(/ c b)
(/.f64 c b)
c
(/ b a)
(/.f64 b a)
a
(/ 1/2 (/ a (* b (+ 2 (* (/ (* c -2) b) (/ a b))))))
(-.f64 (/.f64 b a) (/.f64 c b))
1/2
#s(literal 1/2 binary64)
(/ a (* b (+ 2 (* (/ (* c -2) b) (/ a b)))))
(/.f64 a (+.f64 (*.f64 b #s(literal 2 binary64)) (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b)))
a
(* b (+ 2 (* (/ (* c -2) b) (/ a b))))
(+.f64 (*.f64 b #s(literal 2 binary64)) (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b))
b
(+ 2 (* (/ (* c -2) b) (/ a b)))
(+.f64 #s(literal 2 binary64) (/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b) b))
2
#s(literal 2 binary64)
(* (/ (* c -2) b) (/ a b))
(/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b) b)
(/ (* c -2) b)
(*.f64 c (/.f64 #s(literal -2 binary64) b))
(* c -2)
(*.f64 c #s(literal -2 binary64))
c
-2
#s(literal -2 binary64)
(/ a b)
(/.f64 a b)
(/ 1/2 (/ a (+ b (sqrt (* c (* a -4))))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))))) a)
1/2
#s(literal 1/2 binary64)
(/ a (+ b (sqrt (* c (* a -4)))))
(/.f64 a (+.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)))))
a
(+ b (sqrt (* c (* a -4))))
(+.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))))
b
(sqrt (* c (* a -4)))
(sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)))
(* c (* a -4))
(*.f64 #s(literal -4 binary64) (*.f64 a c))
c
(* a -4)
(*.f64 a #s(literal -4 binary64))
-4
#s(literal -4 binary64)

localize185.0ms (1.6%)

Memory
-18.4MiB live, 260.5MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))))
✓accuracy99.8%
(/.f64 a (+.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))))
✓accuracy99.7%
(/.f64 #s(literal 1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
✓accuracy84.8%
(sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))
✓accuracy99.7%
(/.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b (+.f64 #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 c #s(literal -2 binary64)) b) (/.f64 a b))))))
✓accuracy99.0%
(*.f64 (/.f64 (*.f64 c #s(literal -2 binary64)) b) (/.f64 a b))
✓accuracy94.5%
(*.f64 b (+.f64 #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 c #s(literal -2 binary64)) b) (/.f64 a b))))
✓accuracy94.1%
(/.f64 a (*.f64 b (+.f64 #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 c #s(literal -2 binary64)) b) (/.f64 a b)))))
✓accuracy100.0%
(/.f64 b a)
✓accuracy100.0%
(-.f64 (*.f64 b (/.f64 (/.f64 c b) b)) (/.f64 b a))
✓accuracy99.9%
(/.f64 (/.f64 c b) b)
✓accuracy76.4%
(*.f64 b (/.f64 (/.f64 c b) b))
✓accuracy100.0%
(/.f64 c b)
✓accuracy99.7%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a #s(literal -1/2 binary64)) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))))
✓accuracy96.3%
(/.f64 (/.f64 a #s(literal -1/2 binary64)) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))))
✓accuracy90.7%
(-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))
✓accuracy73.4%
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))
Samples
32.0ms121×0valid
22.0ms93×0invalid
11.0ms18×2valid
9.0ms16×1valid
5.0ms8×3valid
Compiler

Compiled 255 to 39 computations (84.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 54.0ms
ival-div: 24.0ms (44.3% of total)
ival-mult: 16.0ms (29.5% of total)
ival-add: 4.0ms (7.4% of total)
ival-sqrt: 4.0ms (7.4% of total)
ival-sub: 3.0ms (5.5% of total)
adjust: 2.0ms (3.7% of total)
exact: 1.0ms (1.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series39.0ms (0.3%)

Memory
6.6MiB live, 83.8MiB allocated
Counts
19 → 600
Calls
Call 1
Inputs
#<alt (/ 1 (/ (/ a -1/2) (- b (sqrt (+ (* b b) (* -4 (* a c)))))))>
#<alt (/ (/ a -1/2) (- b (sqrt (+ (* b b) (* -4 (* a c))))))>
#<alt (/ a -1/2)>
#<alt (- b (sqrt (+ (* b b) (* -4 (* a c)))))>
#<alt (/ c b)>
#<alt (* b (/ (/ c b) b))>
#<alt (- (* b (/ (/ c b) b)) (/ b a))>
#<alt (/ (/ c b) b)>
#<alt (/ 1/2 (/ a (* b (+ 2 (* (/ (* c -2) b) (/ a b))))))>
#<alt (* b (+ 2 (* (/ (* c -2) b) (/ a b))))>
#<alt (/ a (* b (+ 2 (* (/ (* c -2) b) (/ a b)))))>
#<alt (+ 2 (* (/ (* c -2) b) (/ a b)))>
#<alt (/ 1/2 (/ a (+ b (sqrt (* c (* a -4))))))>
#<alt (/ a (+ b (sqrt (* c (* a -4)))))>
#<alt (+ b (sqrt (* c (* a -4))))>
#<alt (sqrt (* c (* a -4)))>
#<alt (sqrt (+ (* b b) (* -4 (* a c))))>
#<alt (/ b a)>
#<alt (* (/ (* c -2) b) (/ a b))>
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 (* 1/2 (* (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 (* 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 (/ b c))>
#<alt (+ (* -1 (/ b c)) (/ a b))>
#<alt (+ (* -1 (/ b c)) (* a (+ (* 2 (* a (+ (* -1/2 (/ c (pow b 3))) (/ c (pow b 3))))) (/ 1 b))))>
#<alt (+ (* -1 (/ b c)) (* a (+ (* a (+ (* 2 (* a (+ (* -1 (/ (* c (+ (* -1/2 (/ c (pow b 3))) (/ c (pow b 3)))) (pow b 2))) (+ (* -1 (/ (pow c 2) (pow b 5))) (* 1/8 (/ (* b (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) (pow c 2))))))) (* 2 (+ (* -1/2 (/ c (pow b 3))) (/ c (pow b 3)))))) (/ 1 b))))>
#<alt (* 2 (* (sqrt (/ a c)) (/ 1 (sqrt -4))))>
#<alt (+ (* 2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (* c (pow (sqrt -4) 2)))))>
#<alt (- (+ (* -1 (/ (+ (* -2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (pow a 2))) (* 2 (* (sqrt (/ a c)) (/ 1 (sqrt -4))))) (* -2 (/ b (* c (pow (sqrt -4) 2)))))>
#<alt (- (+ (* -1 (/ (+ (* (sqrt (/ a c)) (/ (* b (+ (* -2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (sqrt -4))) (/ (* (pow a 2) (pow b 3)) (* (pow c 2) (pow (sqrt -4) 4)))) (pow a 3))) (* 2 (* (sqrt (/ a c)) (/ 1 (sqrt -4))))) (+ (* -2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -2 (/ b (* c (pow (sqrt -4) 2)))) (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3))))))>
#<alt (* -1 (* (sqrt (/ a c)) (sqrt -1)))>
#<alt (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1/2 (/ b c)))>
#<alt (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1))))) (* -1/2 (/ (* a b) c))) a)))>
#<alt (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (+ (* -1/16 (/ (* a (pow b 3)) (pow c 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))))) a)) (* -1/2 (/ (* a b) c))) a)))>
#<alt (* 2 (* (sqrt (/ a c)) (/ 1 (sqrt -4))))>
#<alt (+ (* 2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (* c (pow (sqrt -4) 2)))))>
#<alt (+ (* 2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* b (+ (* 2 (* b (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))))) (* 2 (/ 1 (* c (pow (sqrt -4) 2)))))))>
#<alt (+ (* 2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* b (+ (* b (+ (* -2 (* b (- (* 1/2 (/ 1 (* a (* (pow c 2) (pow (sqrt -4) 4))))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (sqrt -4)))))) (* 2 (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))))) (* 2 (/ 1 (* c (pow (sqrt -4) 2)))))))>
#<alt (* -1 (/ b c))>
#<alt (* b (- (/ a (pow b 2)) (/ 1 c)))>
#<alt (* b (- (+ (* 2 (/ (+ (* -1/2 (* (pow a 2) c)) (* (pow a 2) c)) (pow b 4))) (/ a (pow b 2))) (/ 1 c)))>
#<alt (* b (- (+ (* 2 (/ (+ (* -1 (* a (* c (+ (* -1/2 (* (pow a 2) c)) (* (pow a 2) c))))) (+ (* -1 (* (pow a 3) (pow c 2))) (* 1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow c 2)))))) (pow b 6))) (+ (* 2 (/ (+ (* -1/2 (* (pow a 2) c)) (* (pow a 2) c)) (pow b 4))) (/ a (pow b 2)))) (/ 1 c)))>
#<alt (* -1 (/ a b))>
#<alt (* -1 (/ (+ a (/ (* (pow a 2) c) (pow b 2))) b))>
#<alt (* -1 (/ (+ a (+ (* 2 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (/ (* (pow a 2) c) (pow b 2)))) b))>
#<alt (* -1 (/ (+ a (+ (* -2 (/ (+ (* -2 (* (pow a 4) (pow c 3))) (* -1/2 (* (pow a 4) (pow c 3)))) (pow b 6))) (+ (* 2 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (/ (* (pow a 2) c) (pow b 2))))) b))>
#<alt (* -1 (/ b c))>
#<alt (/ (+ (* -1 b) (/ (* a c) b)) c)>
#<alt (/ (+ (* -1 b) (* c (+ (* 2 (* c (+ (* -1/2 (/ (pow a 2) (pow b 3))) (/ (pow a 2) (pow b 3))))) (/ a b)))) c)>
#<alt (/ (+ (* -1 b) (* c (+ (* c (+ (* 2 (* c (+ (* -1 (/ (* a (+ (* -1/2 (/ (pow a 2) (pow b 3))) (/ (pow a 2) (pow b 3)))) (pow b 2))) (+ (* -1 (/ (pow a 3) (pow b 5))) (* 1/8 (/ (* b (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) a)))))) (* 2 (+ (* -1/2 (/ (pow a 2) (pow b 3))) (/ (pow a 2) (pow b 3)))))) (/ a b)))) c)>
#<alt (* 2 (* (sqrt (/ a c)) (/ 1 (sqrt -4))))>
#<alt (/ (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))) c)>
#<alt (/ (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 2 (/ b (pow (sqrt -4) 2))) (* 2 (/ (+ (* -1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (pow c 2))))) c)>
#<alt (/ (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 2 (/ b (pow (sqrt -4) 2))) (+ (* 2 (/ (+ (* -1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (pow c 2))) (* 2 (/ (+ (* -1/2 (/ (* (pow b 3) (pow c 2)) (* a (pow (sqrt -4) 4)))) (* (sqrt (/ c a)) (/ (* b (+ (* -1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3))))) (sqrt -4)))) (pow c 3)))))) c)>
#<alt (* -1 (* (sqrt (/ a c)) (sqrt -1)))>
#<alt (* -1 (/ (+ (* 1/2 b) (* (sqrt (* a c)) (sqrt -1))) c))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (+ (* -1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (* b c))) c)) (* (sqrt (* a c)) (sqrt -1))) c))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (+ (* -1/32 (/ (* (pow b 3) (pow c 2)) a)) (* 1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (+ (* -1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))))))))) c)) (* 2 (+ (* -1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1))))))) c)) (* -1/2 (* b c))) c)) (* (sqrt (* a c)) (sqrt -1))) 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 (* -1 (* (sqrt (* a c)) (sqrt -4)))>
#<alt (- b (* (sqrt (* a c)) (sqrt -4)))>
#<alt (- (* b (+ 1 (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (- (* 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)))>
#<alt (* 2 (/ (* a c) b))>
#<alt (/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) 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 (/ (- (* 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)>
#<alt (* 2 b)>
#<alt (* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 2)))>
#<alt (* -1 (* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2)))))))>
#<alt (* -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))))))))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b))))>
#<alt (* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b))))>
#<alt (* 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))))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -4)))>
#<alt (* a (- (/ b a) (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (* a (- (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (* 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)))))>
#<alt (* 2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* a (- (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -1 (* a (- (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -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))))))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b))))>
#<alt (* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b))))>
#<alt (* 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))))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -4)))>
#<alt (* c (- (/ b c) (* (sqrt (/ a c)) (sqrt -4))))>
#<alt (* c (- (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))>
#<alt (* 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)))))>
#<alt (* 2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* c (- (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -1 (* c (- (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -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))))))>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ (+ c (* -1 (/ (pow b 2) a))) b)>
#<alt (/ (+ c (* -1 (/ (pow b 2) a))) b)>
#<alt (/ (+ c (* -1 (/ (pow b 2) a))) b)>
#<alt (* -1 (/ b a))>
#<alt (* b (- (/ c (pow b 2)) (/ 1 a)))>
#<alt (* b (- (/ c (pow b 2)) (/ 1 a)))>
#<alt (* b (- (/ c (pow b 2)) (/ 1 a)))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))>
#<alt (* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))>
#<alt (* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))>
#<alt (* -1 (/ b a))>
#<alt (- (/ c b) (/ b a))>
#<alt (- (/ c b) (/ b a))>
#<alt (- (/ c b) (/ b a))>
#<alt (/ c b)>
#<alt (* c (+ (* -1 (/ b (* a c))) (/ 1 b)))>
#<alt (* c (+ (* -1 (/ b (* a c))) (/ 1 b)))>
#<alt (* c (+ (* -1 (/ b (* a c))) (/ 1 b)))>
#<alt (/ c b)>
#<alt (* -1 (* c (- (/ b (* a c)) (/ 1 b))))>
#<alt (* -1 (* c (- (/ b (* a c)) (/ 1 b))))>
#<alt (* -1 (* c (- (/ b (* a c)) (/ 1 b))))>
#<alt (* -1 (/ b a))>
#<alt (/ (- (/ (* a c) b) b) a)>
#<alt (/ (- (/ (* a c) b) b) a)>
#<alt (/ (- (/ (* a c) b) b) a)>
#<alt (/ c b)>
#<alt (+ (* -1 (/ b a)) (/ c b))>
#<alt (+ (* -1 (/ b a)) (/ c b))>
#<alt (+ (* -1 (/ b a)) (/ c b))>
#<alt (/ c b)>
#<alt (+ (* -1 (/ b a)) (/ c b))>
#<alt (+ (* -1 (/ b a)) (/ c b))>
#<alt (+ (* -1 (/ b a)) (/ 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))>
#<alt (/ b a)>
#<alt (/ (+ b (* -1 (/ (* a c) b))) a)>
#<alt (/ (+ b (* -1 (/ (* a c) b))) a)>
#<alt (/ (+ b (* -1 (/ (* a c) b))) a)>
#<alt (* -1 (/ c b))>
#<alt (+ (* -1 (/ c b)) (/ b a))>
#<alt (+ (* -1 (/ c b)) (/ b a))>
#<alt (+ (* -1 (/ c b)) (/ b a))>
#<alt (* -1 (/ c b))>
#<alt (+ (* -1 (/ c b)) (/ b a))>
#<alt (+ (* -1 (/ c b)) (/ b a))>
#<alt (+ (* -1 (/ c b)) (/ b a))>
#<alt (* -1 (/ c b))>
#<alt (/ (+ (* -1 c) (/ (pow b 2) a)) b)>
#<alt (/ (+ (* -1 c) (/ (pow b 2) a)) b)>
#<alt (/ (+ (* -1 c) (/ (pow b 2) a)) b)>
#<alt (/ b a)>
#<alt (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))>
#<alt (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))>
#<alt (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))>
#<alt (/ b a)>
#<alt (* -1 (* b (- (/ c (pow b 2)) (/ 1 a))))>
#<alt (* -1 (* b (- (/ c (pow b 2)) (/ 1 a))))>
#<alt (* -1 (* b (- (/ c (pow b 2)) (/ 1 a))))>
#<alt (/ b a)>
#<alt (+ (* -1 (/ c b)) (/ b a))>
#<alt (+ (* -1 (/ c b)) (/ b a))>
#<alt (+ (* -1 (/ c b)) (/ b a))>
#<alt (* -1 (/ c b))>
#<alt (* c (- (/ b (* a c)) (/ 1 b)))>
#<alt (* c (- (/ b (* a c)) (/ 1 b)))>
#<alt (* c (- (/ b (* a c)) (/ 1 b)))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (* c (+ (* -1 (/ b (* a c))) (/ 1 b))))>
#<alt (* -1 (* c (+ (* -1 (/ b (* a c))) (/ 1 b))))>
#<alt (* -1 (* c (+ (* -1 (/ b (* a c))) (/ 1 b))))>
#<alt (* -2 (/ (* a c) b))>
#<alt (/ (+ (* -2 (* a c)) (* 2 (pow b 2))) b)>
#<alt (/ (+ (* -2 (* a c)) (* 2 (pow b 2))) b)>
#<alt (/ (+ (* -2 (* a c)) (* 2 (pow b 2))) b)>
#<alt (* 2 b)>
#<alt (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))>
#<alt (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))>
#<alt (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))>
#<alt (* 2 b)>
#<alt (* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 2)))>
#<alt (* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 2)))>
#<alt (* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 2)))>
#<alt (* 2 b)>
#<alt (+ (* -2 (/ (* a c) b)) (* 2 b))>
#<alt (+ (* -2 (/ (* a c) b)) (* 2 b))>
#<alt (+ (* -2 (/ (* a c) b)) (* 2 b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* c (+ (* -2 (/ a b)) (* 2 (/ b c))))>
#<alt (* c (+ (* -2 (/ a b)) (* 2 (/ b c))))>
#<alt (* c (+ (* -2 (/ a b)) (* 2 (/ b c))))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -1 (* c (+ (* -2 (/ b c)) (* 2 (/ a b)))))>
#<alt (* -1 (* c (+ (* -2 (/ b c)) (* 2 (/ a b)))))>
#<alt (* -1 (* c (+ (* -2 (/ b c)) (* 2 (/ a b)))))>
#<alt (* 2 b)>
#<alt (+ (* -2 (/ (* a c) b)) (* 2 b))>
#<alt (+ (* -2 (/ (* a c) b)) (* 2 b))>
#<alt (+ (* -2 (/ (* a c) b)) (* 2 b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* a (+ (* -2 (/ c b)) (* 2 (/ b a))))>
#<alt (* a (+ (* -2 (/ c b)) (* 2 (/ b a))))>
#<alt (* a (+ (* -2 (/ c b)) (* 2 (/ b a))))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -1 (* a (+ (* -2 (/ b a)) (* 2 (/ c b)))))>
#<alt (* -1 (* a (+ (* -2 (/ b a)) (* 2 (/ c b)))))>
#<alt (* -1 (* a (+ (* -2 (/ b a)) (* 2 (/ c b)))))>
#<alt (* 1/2 (/ a b))>
#<alt (* a (+ (* 1/2 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))>
#<alt (* a (+ (* a (- (* 1/2 (/ (* a (pow c 2)) (pow b 5))) (* -1/2 (/ c (pow b 3))))) (* 1/2 (/ 1 b))))>
#<alt (* a (+ (* a (- (* a (- (* 1/2 (/ (* a (pow c 3)) (pow b 7))) (* -1/2 (/ (pow c 2) (pow b 5))))) (* -1/2 (/ c (pow b 3))))) (* 1/2 (/ 1 b))))>
#<alt (* -1/2 (/ b c))>
#<alt (+ (* -1/2 (/ b c)) (* -1/2 (/ (pow b 3) (* a (pow c 2)))))>
#<alt (- (+ (* -1/2 (/ b c)) (* -1/2 (/ (pow b 5) (* (pow a 2) (pow c 3))))) (* 1/2 (/ (pow b 3) (* a (pow c 2)))))>
#<alt (- (+ (* -1/2 (/ b c)) (* -1/2 (/ (pow b 7) (* (pow a 3) (pow c 4))))) (+ (* 1/2 (/ (pow b 3) (* a (pow c 2)))) (* 1/2 (/ (pow b 5) (* (pow a 2) (pow c 3))))))>
#<alt (* -1/2 (/ b c))>
#<alt (+ (* -1/2 (/ b c)) (* -1/2 (/ (pow b 3) (* a (pow c 2)))))>
#<alt (+ (* -1 (/ (- (* 1/2 (/ (pow b 5) (* a (pow c 3)))) (* -1/2 (/ (pow b 3) (pow c 2)))) a)) (* -1/2 (/ b c)))>
#<alt (+ (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (pow b 7) (* a (pow c 4)))) (* 1/2 (/ (pow b 5) (pow c 3)))) a)) (* -1/2 (/ (pow b 3) (pow c 2)))) a)) (* -1/2 (/ b c)))>
#<alt (* -1/2 (/ b c))>
#<alt (* b (- (* -1/2 (/ (pow b 2) (* a (pow c 2)))) (* 1/2 (/ 1 c))))>
#<alt (* b (- (* (pow b 2) (- (* -1/2 (/ (pow b 2) (* (pow a 2) (pow c 3)))) (* 1/2 (/ 1 (* a (pow c 2)))))) (* 1/2 (/ 1 c))))>
#<alt (* b (- (* (pow b 2) (- (* (pow b 2) (- (* -1/2 (/ (pow b 2) (* (pow a 3) (pow c 4)))) (* 1/2 (/ 1 (* (pow a 2) (pow c 3)))))) (* 1/2 (/ 1 (* a (pow c 2)))))) (* 1/2 (/ 1 c))))>
#<alt (* 1/2 (/ a b))>
#<alt (/ (+ (* 1/2 a) (* 1/2 (/ (* (pow a 2) c) (pow b 2)))) b)>
#<alt (/ (- (+ (* 1/2 a) (* 1/2 (/ (* (pow a 3) (pow c 2)) (pow b 4)))) (* -1/2 (/ (* (pow a 2) c) (pow b 2)))) b)>
#<alt (/ (- (+ (* 1/2 a) (* 1/2 (/ (* (pow a 4) (pow c 3)) (pow b 6)))) (+ (* -1/2 (/ (* (pow a 2) c) (pow b 2))) (* -1/2 (/ (* (pow a 3) (pow c 2)) (pow b 4))))) b)>
#<alt (* 1/2 (/ a b))>
#<alt (* -1 (/ (+ (* -1/2 a) (* -1/2 (/ (* (pow a 2) c) (pow b 2)))) b))>
#<alt (* -1 (/ (+ (* -1/2 a) (+ (* -1/2 (/ (* (pow a 2) c) (pow b 2))) (* -1/2 (/ (* (pow a 3) (pow c 2)) (pow b 4))))) b))>
#<alt (* -1 (/ (+ (* -1/2 a) (+ (* -1/2 (/ (* (pow a 2) c) (pow b 2))) (+ (* -1/2 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* -1/2 (/ (* (pow a 4) (pow c 3)) (pow b 6)))))) b))>
#<alt (* 1/2 (/ a b))>
#<alt (+ (* 1/2 (/ a b)) (* 1/2 (/ (* (pow a 2) c) (pow b 3))))>
#<alt (+ (* 1/2 (/ a b)) (* c (- (* 1/2 (/ (* (pow a 3) c) (pow b 5))) (* -1/2 (/ (pow a 2) (pow b 3))))))>
#<alt (+ (* 1/2 (/ a b)) (* c (- (* c (- (* 1/2 (/ (* (pow a 4) c) (pow b 7))) (* -1/2 (/ (pow a 3) (pow b 5))))) (* -1/2 (/ (pow a 2) (pow b 3))))))>
#<alt (* -1/2 (/ b c))>
#<alt (/ (+ (* -1/2 b) (* -1/2 (/ (pow b 3) (* a c)))) c)>
#<alt (/ (- (+ (* -1/2 b) (* -1/2 (/ (pow b 5) (* (pow a 2) (pow c 2))))) (* 1/2 (/ (pow b 3) (* a c)))) c)>
#<alt (/ (- (+ (* -1/2 b) (* -1/2 (/ (pow b 7) (* (pow a 3) (pow c 3))))) (+ (* 1/2 (/ (pow b 3) (* a c))) (* 1/2 (/ (pow b 5) (* (pow a 2) (pow c 2)))))) c)>
#<alt (* -1/2 (/ b c))>
#<alt (* -1 (/ (+ (* 1/2 b) (* 1/2 (/ (pow b 3) (* a c)))) c))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1/2 (/ (pow b 5) (* (pow a 2) c))) (* 1/2 (/ (pow b 3) a))) c)) (* 1/2 b)) c))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow b 7) (* (pow a 3) c))) (* -1/2 (/ (pow b 5) (pow a 2)))) c)) (* 1/2 (/ (pow b 3) a))) c)) (* 1/2 b)) c))>
#<alt 2>
#<alt (+ 2 (* -2 (/ (* a c) (pow b 2))))>
#<alt (+ 2 (* -2 (/ (* a c) (pow b 2))))>
#<alt (+ 2 (* -2 (/ (* a c) (pow b 2))))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* c (+ (* -2 (/ a (pow b 2))) (* 2 (/ 1 c))))>
#<alt (* c (+ (* -2 (/ a (pow b 2))) (* 2 (/ 1 c))))>
#<alt (* c (+ (* -2 (/ a (pow b 2))) (* 2 (/ 1 c))))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -1 (* c (- (* 2 (/ a (pow b 2))) (* 2 (/ 1 c)))))>
#<alt (* -1 (* c (- (* 2 (/ a (pow b 2))) (* 2 (/ 1 c)))))>
#<alt (* -1 (* c (- (* 2 (/ a (pow b 2))) (* 2 (/ 1 c)))))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (/ (+ (* -2 (* a c)) (* 2 (pow b 2))) (pow b 2))>
#<alt (/ (+ (* -2 (* a c)) (* 2 (pow b 2))) (pow b 2))>
#<alt (/ (+ (* -2 (* a c)) (* 2 (pow b 2))) (pow b 2))>
#<alt 2>
#<alt (+ 2 (* -2 (/ (* a c) (pow b 2))))>
#<alt (+ 2 (* -2 (/ (* a c) (pow b 2))))>
#<alt (+ 2 (* -2 (/ (* a c) (pow b 2))))>
#<alt 2>
#<alt (+ 2 (* -2 (/ (* a c) (pow b 2))))>
#<alt (+ 2 (* -2 (/ (* a c) (pow b 2))))>
#<alt (+ 2 (* -2 (/ (* a c) (pow b 2))))>
#<alt 2>
#<alt (+ 2 (* -2 (/ (* a c) (pow b 2))))>
#<alt (+ 2 (* -2 (/ (* a c) (pow b 2))))>
#<alt (+ 2 (* -2 (/ (* a c) (pow b 2))))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* a (+ (* -2 (/ c (pow b 2))) (* 2 (/ 1 a))))>
#<alt (* a (+ (* -2 (/ c (pow b 2))) (* 2 (/ 1 a))))>
#<alt (* a (+ (* -2 (/ c (pow b 2))) (* 2 (/ 1 a))))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -1 (* a (- (* 2 (/ c (pow b 2))) (* 2 (/ 1 a)))))>
#<alt (* -1 (* a (- (* 2 (/ c (pow b 2))) (* 2 (/ 1 a)))))>
#<alt (* -1 (* a (- (* 2 (/ c (pow b 2))) (* 2 (/ 1 a)))))>
#<alt (* 1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a))>
#<alt (* 1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a))>
#<alt (* 1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a))>
#<alt (* 1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a))>
#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* 1/2 (/ b a)))>
#<alt (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* 1/2 (/ b a)))>
#<alt (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* 1/2 (/ b a)))>
#<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))) (* 1/2 (/ b a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* 1/2 (/ b a)))>
#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* 1/2 (/ b a)))>
#<alt (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* 1/2 (/ b a)))>
#<alt (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* 1/2 (/ b a)))>
#<alt (* 1/2 (/ b a))>
#<alt (* b (+ (* 1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a))))>
#<alt (* b (+ (* 1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a))))>
#<alt (* b (+ (* 1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a))))>
#<alt (* 1/2 (/ b a))>
#<alt (* -1 (* b (- (* -1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a)))))>
#<alt (* -1 (* b (- (* -1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a)))))>
#<alt (* -1 (* b (- (* -1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a)))))>
#<alt (* 1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a))>
#<alt (* 1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a))>
#<alt (* 1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a))>
#<alt (* 1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a))>
#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* 1/2 (/ b (* a c)))))>
#<alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* 1/2 (/ b (* a c)))))>
#<alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* 1/2 (/ b (* a c)))))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* -1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* -1 (* c (+ (* -1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* -1 (* c (+ (* -1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (/ a (+ b (* (sqrt (* a c)) (sqrt -4))))>
#<alt (/ a (+ b (* (sqrt (* a c)) (sqrt -4))))>
#<alt (/ a (+ b (* (sqrt (* a c)) (sqrt -4))))>
#<alt (/ a (+ b (* (sqrt (* a c)) (sqrt -4))))>
#<alt (* (sqrt (/ a c)) (/ 1 (sqrt -4)))>
#<alt (+ (* -1 (/ b (* c (pow (sqrt -4) 2)))) (* (sqrt (/ a c)) (/ 1 (sqrt -4))))>
#<alt (- (+ (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (/ b (* c (pow (sqrt -4) 2))))>
#<alt (- (+ (* -1 (/ (pow b 3) (* a (* (pow c 2) (pow (sqrt -4) 4))))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (/ b (* c (pow (sqrt -4) 2)))))>
#<alt (* -1/2 (* (sqrt (/ a c)) (sqrt -1)))>
#<alt (+ (* -1/2 (* (sqrt (/ a c)) (sqrt -1))) (* 1/4 (/ b c)))>
#<alt (+ (* -1 (/ (- (* 1/8 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (/ (* a b) c))) a)) (* -1/2 (* (sqrt (/ a c)) (sqrt -1))))>
#<alt (+ (* -1 (/ (- (* -1 (/ (- (* -1/16 (/ (* a (pow b 3)) (pow c 2))) (* 1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1))))) a)) (* 1/4 (/ (* a b) c))) a)) (* -1/2 (* (sqrt (/ a c)) (sqrt -1))))>
#<alt (* (sqrt (/ a c)) (/ 1 (sqrt -4)))>
#<alt (+ (* -1 (/ b (* c (pow (sqrt -4) 2)))) (* (sqrt (/ a c)) (/ 1 (sqrt -4))))>
#<alt (+ (* b (- (* (sqrt (/ 1 (* a (pow c 3)))) (/ b (pow (sqrt -4) 3))) (/ 1 (* c (pow (sqrt -4) 2))))) (* (sqrt (/ a c)) (/ 1 (sqrt -4))))>
#<alt (+ (* b (- (* b (- (* -1 (/ b (* a (* (pow c 2) (pow (sqrt -4) 4))))) (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))))) (/ 1 (* c (pow (sqrt -4) 2))))) (* (sqrt (/ a c)) (/ 1 (sqrt -4))))>
#<alt (/ a b)>
#<alt (/ (+ a (* -1 (* (sqrt (* (pow a 3) c)) (/ (sqrt -4) b)))) b)>
#<alt (/ (- (+ a (/ (* (pow a 2) (* c (pow (sqrt -4) 2))) (pow b 2))) (* (sqrt (* (pow a 3) c)) (/ (sqrt -4) b))) b)>
#<alt (/ (- (+ a (* -1 (* (sqrt (* (pow a 5) (pow c 3))) (/ (pow (sqrt -4) 3) (pow b 3))))) (+ (* -1 (/ (* (pow a 2) (* c (pow (sqrt -4) 2))) (pow b 2))) (* (sqrt (* (pow a 3) c)) (/ (sqrt -4) b)))) b)>
#<alt (/ a b)>
#<alt (* -1 (/ (+ (* -1 a) (* (sqrt (* (pow a 3) c)) (/ (sqrt -4) b))) b))>
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (- (/ (* (pow a 2) (* c (pow (sqrt -4) 2))) b) (* (sqrt (* (pow a 3) c)) (sqrt -4))) b))) b))>
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (- (* -1 (/ (- (* (sqrt (* (pow a 5) (pow c 3))) (/ (pow (sqrt -4) 3) b)) (* (pow a 2) (* c (pow (sqrt -4) 2)))) b)) (* (sqrt (* (pow a 3) c)) (sqrt -4))) b))) b))>
#<alt (/ a (+ b (* (sqrt (* a c)) (sqrt -4))))>
#<alt (/ a (+ b (* (sqrt (* a c)) (sqrt -4))))>
#<alt (/ a (+ b (* (sqrt (* a c)) (sqrt -4))))>
#<alt (/ a (+ b (* (sqrt (* a c)) (sqrt -4))))>
#<alt (* (sqrt (/ a c)) (/ 1 (sqrt -4)))>
#<alt (/ (+ (* -1 (/ b (pow (sqrt -4) 2))) (* (sqrt (* a c)) (/ 1 (sqrt -4)))) c)>
#<alt (/ (- (+ (* (sqrt (* a c)) (/ 1 (sqrt -4))) (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (/ b (pow (sqrt -4) 2))) c)>
#<alt (/ (- (+ (* -1 (/ (pow b 3) (* a (* c (pow (sqrt -4) 4))))) (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (/ b (pow (sqrt -4) 2)))) c)>
#<alt (* -1/2 (* (sqrt (/ a c)) (sqrt -1)))>
#<alt (* -1 (/ (+ (* -1/4 b) (* 1/2 (* (sqrt (* a c)) (sqrt -1)))) c))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1/8 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1)))) (* -1/4 (* b c))) c)) (* 1/2 (* (sqrt (* a c)) (sqrt -1)))) c))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ (* (pow b 3) c) a)) (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1))))) c)) (* -1/4 (* b c))) c)) (* 1/2 (* (sqrt (* a c)) (sqrt -1)))) c))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (+ b (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ b (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ b (* (sqrt (* a c)) (sqrt -4)))>
#<alt b>
#<alt (* b (+ 1 (* (sqrt (* a c)) (/ (sqrt -4) b))))>
#<alt (* b (+ 1 (* (sqrt (* a c)) (/ (sqrt -4) b))))>
#<alt (* b (+ 1 (* (sqrt (* a c)) (/ (sqrt -4) b))))>
#<alt b>
#<alt (* -1 (* b (- (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b))) 1)))>
#<alt (* -1 (* b (- (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b))) 1)))>
#<alt (* -1 (* b (- (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b))) 1)))>
#<alt (+ b (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ b (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ b (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ b (* (sqrt (* a c)) (sqrt -4)))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))>
#<alt (* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))>
#<alt (* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (+ b (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ b (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ b (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ b (* (sqrt (* a c)) (sqrt -4)))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))>
#<alt (* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))>
#<alt (* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -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 (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
Calls

150 calls:

TimeVariablePointExpression
4.0ms
b
@-inf
(/ (/ a -1/2) (- b (sqrt (+ (* b b) (* -4 (* a c))))))
2.0ms
b
@-inf
(/ 1/2 (/ a (+ b (sqrt (* c (* a -4))))))
1.0ms
c
@inf
(/ (/ a -1/2) (- b (sqrt (+ (* b b) (* -4 (* a c))))))
1.0ms
a
@0
(/ 1/2 (/ a (+ b (sqrt (* c (* a -4))))))
1.0ms
a
@inf
(/ (/ a -1/2) (- b (sqrt (+ (* b b) (* -4 (* a c))))))

rewrite417.0ms (3.7%)

Memory
39.9MiB live, 789.8MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 372×/-lowering-/.f32
5 372×/-lowering-/.f64
4 730×*-lowering-*.f32
4 730×*-lowering-*.f64
3 342×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037189
1220187
21817183
08664171
Stop Event
1×iter limit
1×node limit
Counts
19 → 1 077
Calls
Call 1
Inputs
(/ 1 (/ (/ a -1/2) (- b (sqrt (+ (* b b) (* -4 (* a c)))))))
(/ (/ a -1/2) (- b (sqrt (+ (* b b) (* -4 (* a c))))))
(/ a -1/2)
(- b (sqrt (+ (* b b) (* -4 (* a c)))))
(/ c b)
(* b (/ (/ c b) b))
(- (* b (/ (/ c b) b)) (/ b a))
(/ (/ c b) b)
(/ 1/2 (/ a (* b (+ 2 (* (/ (* c -2) b) (/ a b))))))
(* b (+ 2 (* (/ (* c -2) b) (/ a b))))
(/ a (* b (+ 2 (* (/ (* c -2) b) (/ a b)))))
(+ 2 (* (/ (* c -2) b) (/ a b)))
(/ 1/2 (/ a (+ b (sqrt (* c (* a -4))))))
(/ a (+ b (sqrt (* c (* a -4)))))
(+ b (sqrt (* c (* a -4))))
(sqrt (* c (* a -4)))
(sqrt (+ (* b b) (* -4 (* a c))))
(/ b a)
(* (/ (* c -2) b) (/ a b))
Outputs
(+.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) b) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))))
(+.f64 (*.f64 b (/.f64 #s(literal -1/2 binary64) a)) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (/.f64 #s(literal -1/2 binary64) a)))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 a #s(literal -1/2 binary64)) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) #s(literal -1 binary64)))
(-.f64 (/.f64 b (/.f64 a #s(literal -1/2 binary64))) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (/.f64 a #s(literal -1/2 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 b (*.f64 b b)) (+.f64 (+.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (*.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) (/.f64 a #s(literal -1/2 binary64))) (/.f64 (/.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal 3/2 binary64)) (+.f64 (+.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (*.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) (/.f64 a #s(literal -1/2 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) (/.f64 a #s(literal -1/2 binary64))) (/.f64 (/.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) (/.f64 a #s(literal -1/2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 a #s(literal 1/2 binary64))) (/.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (/.f64 a #s(literal 1/2 binary64))))
(-.f64 (/.f64 (*.f64 b (*.f64 b b)) (*.f64 (/.f64 a #s(literal -1/2 binary64)) (+.f64 (+.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (*.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))))) (/.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal 3/2 binary64)) (*.f64 (/.f64 a #s(literal -1/2 binary64)) (+.f64 (+.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (*.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))))))
(-.f64 (/.f64 (*.f64 b b) (*.f64 (/.f64 a #s(literal -1/2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) (/.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (*.f64 (/.f64 a #s(literal -1/2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))))
(fma.f64 b (/.f64 #s(literal -1/2 binary64) a) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (/.f64 #s(literal -1/2 binary64) a)))
(fma.f64 (/.f64 #s(literal -1/2 binary64) a) b (*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 a #s(literal -1/2 binary64)) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a #s(literal -1/2 binary64)) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))))
(/.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (/.f64 a #s(literal -1/2 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 a #s(literal 1/2 binary64)) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) (/.f64 a #s(literal 1/2 binary64)))
(/.f64 (-.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal 3/2 binary64))) (*.f64 (/.f64 a #s(literal -1/2 binary64)) (+.f64 (+.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (*.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))))
(/.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))))
(/.f64 (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (*.f64 (/.f64 a #s(literal -1/2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal 3/2 binary64)))) (*.f64 (/.f64 a #s(literal -1/2 binary64)) (+.f64 (+.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (*.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (*.f64 (/.f64 a #s(literal -1/2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) (/.f64 a #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (-.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal 3/2 binary64)))) (neg.f64 (*.f64 (/.f64 a #s(literal -1/2 binary64)) (+.f64 (+.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (*.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (neg.f64 (*.f64 (/.f64 a #s(literal -1/2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))))
(/.f64 (neg.f64 (/.f64 #s(literal -1/2 binary64) a)) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))))
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal 3/2 binary64)))) (+.f64 (+.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (*.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))))
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) (/.f64 a #s(literal -1/2 binary64)))
(/.f64 (/.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) a) #s(literal -2 binary64))
(/.f64 (-.f64 (*.f64 b (/.f64 a #s(literal -1/2 binary64))) (*.f64 (/.f64 a #s(literal -1/2 binary64)) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) (*.f64 (/.f64 a #s(literal -1/2 binary64)) (/.f64 a #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) (/.f64 a #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal 3/2 binary64))))) (neg.f64 (*.f64 (/.f64 a #s(literal -1/2 binary64)) (+.f64 (+.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (*.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) (neg.f64 (*.f64 (/.f64 a #s(literal -1/2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal 3/2 binary64))))) (neg.f64 (+.f64 (+.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (*.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) (neg.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))))
(/.f64 (neg.f64 (/.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) a)) #s(literal 2 binary64))
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(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) a)) (-.f64 #s(literal 0 binary64) b))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) a)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) b)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) a))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) b)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) a)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 b a))))
(/.f64 (/.f64 (*.f64 c #s(literal -2 binary64)) b) (/.f64 b a))
(/.f64 (/.f64 a b) (/.f64 b (*.f64 c #s(literal -2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 b (/.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 b a)))))
(/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 b b))
(/.f64 (/.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 b a)) b)
(/.f64 (*.f64 a #s(literal 1 binary64)) (*.f64 b (/.f64 b (*.f64 c #s(literal -2 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) a) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 b (*.f64 c #s(literal -2 binary64)))))
(/.f64 (*.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 b (*.f64 c #s(literal -2 binary64))) b))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) a)) (*.f64 (/.f64 b (*.f64 c #s(literal -2 binary64))) (-.f64 #s(literal 0 binary64) b)))
(/.f64 (*.f64 (*.f64 c #s(literal -2 binary64)) #s(literal 1 binary64)) (*.f64 b (/.f64 b a)))
(/.f64 (*.f64 (*.f64 c #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) a)) (*.f64 b (-.f64 #s(literal 0 binary64) b)))
(/.f64 (*.f64 (*.f64 c #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 b a)))
(/.f64 (*.f64 (*.f64 c #s(literal 2 binary64)) a) (*.f64 (-.f64 #s(literal 0 binary64) b) b))
(/.f64 (*.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) a)) (*.f64 b b))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 c #s(literal -2 binary64))) (*.f64 (/.f64 b a) b))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 c #s(literal 2 binary64))) (*.f64 (/.f64 b a) (-.f64 #s(literal 0 binary64) b)))
(/.f64 (*.f64 a (*.f64 c #s(literal 2 binary64))) (*.f64 b (-.f64 #s(literal 0 binary64) b)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 c #s(literal -2 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) b) b))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 c #s(literal 2 binary64))) (*.f64 b b))
(/.f64 (neg.f64 (*.f64 a (*.f64 c #s(literal -2 binary64)))) (neg.f64 (*.f64 b b)))
(/.f64 (neg.f64 (/.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 b a))) (-.f64 #s(literal 0 binary64) b))
(/.f64 (neg.f64 (/.f64 a b)) (neg.f64 (/.f64 b (*.f64 c #s(literal -2 binary64)))))
(/.f64 (neg.f64 (/.f64 (*.f64 c #s(literal -2 binary64)) b)) (-.f64 #s(literal 0 binary64) (/.f64 b a)))
(/.f64 (*.f64 (/.f64 (*.f64 c #s(literal -2 binary64)) b) #s(literal 1 binary64)) (/.f64 b a))
(/.f64 (*.f64 (/.f64 (*.f64 c #s(literal -2 binary64)) b) (-.f64 #s(literal 0 binary64) a)) (-.f64 #s(literal 0 binary64) b))
(/.f64 (*.f64 (/.f64 a b) #s(literal 1 binary64)) (/.f64 b (*.f64 c #s(literal -2 binary64))))
(/.f64 (*.f64 (/.f64 a b) (*.f64 c #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) b))
(/.f64 (*.f64 (*.f64 c #s(literal 2 binary64)) (/.f64 a b)) (-.f64 #s(literal 0 binary64) b))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 (*.f64 c #s(literal -2 binary64)) b)) (-.f64 #s(literal 0 binary64) b))
(/.f64 (neg.f64 (*.f64 a #s(literal 1 binary64))) (neg.f64 (*.f64 b (/.f64 b (*.f64 c #s(literal -2 binary64))))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) a) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 b (*.f64 c #s(literal -2 binary64))))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) a)) (neg.f64 (*.f64 (/.f64 b (*.f64 c #s(literal -2 binary64))) b)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) a))) (neg.f64 (*.f64 (/.f64 b (*.f64 c #s(literal -2 binary64))) (-.f64 #s(literal 0 binary64) b))))
(/.f64 (neg.f64 (*.f64 (*.f64 c #s(literal -2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 b (/.f64 b a))))
(/.f64 (neg.f64 (*.f64 (*.f64 c #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) a))) (neg.f64 (*.f64 b (-.f64 #s(literal 0 binary64) b))))
(/.f64 (neg.f64 (*.f64 (*.f64 c #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 b a))))
(/.f64 (neg.f64 (*.f64 (*.f64 c #s(literal 2 binary64)) a)) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) b)))
(/.f64 (neg.f64 (*.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) a))) (neg.f64 (*.f64 b b)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 c #s(literal -2 binary64)))) (neg.f64 (*.f64 (/.f64 b a) b)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 c #s(literal 2 binary64)))) (neg.f64 (*.f64 (/.f64 b a) (-.f64 #s(literal 0 binary64) b))))
(/.f64 (neg.f64 (*.f64 a (*.f64 c #s(literal 2 binary64)))) (neg.f64 (*.f64 b (-.f64 #s(literal 0 binary64) b))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 c #s(literal -2 binary64)))) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) b)))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 c #s(literal 2 binary64)))) (neg.f64 (*.f64 b b)))
(/.f64 (neg.f64 (neg.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))))) (neg.f64 (neg.f64 (*.f64 b b))))
(/.f64 (neg.f64 (neg.f64 (/.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 b a)))) (neg.f64 (-.f64 #s(literal 0 binary64) b)))
(/.f64 (neg.f64 (*.f64 (/.f64 (*.f64 c #s(literal -2 binary64)) b) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (/.f64 b a)))
(/.f64 (neg.f64 (*.f64 (/.f64 (*.f64 c #s(literal -2 binary64)) b) (-.f64 #s(literal 0 binary64) a))) (neg.f64 (-.f64 #s(literal 0 binary64) b)))
(/.f64 (neg.f64 (*.f64 (/.f64 a b) #s(literal 1 binary64))) (neg.f64 (/.f64 b (*.f64 c #s(literal -2 binary64)))))
(/.f64 (neg.f64 (*.f64 (/.f64 a b) (*.f64 c #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) b)))
(/.f64 (neg.f64 (*.f64 (*.f64 c #s(literal 2 binary64)) (/.f64 a b))) (neg.f64 (-.f64 #s(literal 0 binary64) b)))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 (*.f64 c #s(literal -2 binary64)) b))) (neg.f64 (-.f64 #s(literal 0 binary64) b)))
(pow.f64 (/.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 b (/.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 b a))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 c #s(literal -2 binary64)) b) (/.f64 b a)))
(*.f64 a (*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (*.f64 c #s(literal -2 binary64)) b)))
(*.f64 c (*.f64 (/.f64 #s(literal -2 binary64) b) (/.f64 a b)))
(*.f64 (/.f64 c b) (/.f64 (/.f64 #s(literal -2 binary64) b) (/.f64 #s(literal 1 binary64) a)))
(*.f64 (/.f64 c b) (/.f64 (/.f64 a #s(literal -1/2 binary64)) b))
(*.f64 #s(literal -2 binary64) (/.f64 (/.f64 c b) (/.f64 b a)))
(*.f64 (*.f64 c #s(literal -2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 a b)))
(*.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a (*.f64 b b)))
(*.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 (/.f64 a b) b))
(*.f64 (/.f64 (*.f64 c #s(literal -2 binary64)) b) (/.f64 a b))
(*.f64 (/.f64 (*.f64 c #s(literal -2 binary64)) b) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) b)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) a))))
(*.f64 (/.f64 a b) (/.f64 (*.f64 c #s(literal -2 binary64)) b))
(*.f64 (/.f64 a b) (/.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) (*.f64 c #s(literal -2 binary64)))))
(*.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 b b)))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 c b)) (/.f64 (/.f64 #s(literal -2 binary64) b) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) a))))
(*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (/.f64 (*.f64 c #s(literal -2 binary64)) b) (/.f64 #s(literal 1 binary64) a)))
(*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (/.f64 a b) (/.f64 #s(literal 1 binary64) (*.f64 c #s(literal -2 binary64)))))
(*.f64 (/.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 b a)) (/.f64 #s(literal 1 binary64) b))
(*.f64 (/.f64 #s(literal -2 binary64) b) (/.f64 (/.f64 c b) (/.f64 #s(literal 1 binary64) a)))
(*.f64 (/.f64 #s(literal -2 binary64) b) (/.f64 (*.f64 a c) b))
(*.f64 (/.f64 a #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 c #s(literal -2 binary64)) b) b))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) b)) (/.f64 (/.f64 (*.f64 c #s(literal -2 binary64)) b) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) a))))
(*.f64 (*.f64 #s(literal 2 binary64) (/.f64 c b)) (/.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) a))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) a) b) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) b)) (/.f64 #s(literal 1 binary64) (*.f64 c #s(literal -2 binary64)))))
(*.f64 (/.f64 (*.f64 c #s(literal 2 binary64)) b) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) b)) (/.f64 #s(literal 1 binary64) a)))
(*.f64 (*.f64 (/.f64 a b) c) (/.f64 #s(literal -2 binary64) b))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) b) (/.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) a)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) b) (/.f64 a (/.f64 #s(literal 1 binary64) (*.f64 c #s(literal -2 binary64)))))
(*.f64 (/.f64 (/.f64 a b) b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 c #s(literal -2 binary64)))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) b)) b) (/.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 #s(literal 1 binary64) (*.f64 c #s(literal -2 binary64)))))
(*.f64 (/.f64 (/.f64 (*.f64 c #s(literal -2 binary64)) b) (/.f64 #s(literal 1 binary64) a)) (/.f64 #s(literal 1 binary64) b))
(*.f64 (/.f64 (/.f64 (*.f64 c #s(literal -2 binary64)) b) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) a))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) b)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a)) (/.f64 (/.f64 (*.f64 c #s(literal -2 binary64)) b) b))
(*.f64 (/.f64 (/.f64 (*.f64 c #s(literal -2 binary64)) b) b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) a))) (/.f64 (/.f64 (*.f64 c #s(literal -2 binary64)) b) (-.f64 #s(literal 0 binary64) b)))
(*.f64 (/.f64 (/.f64 (*.f64 c #s(literal -2 binary64)) b) (-.f64 #s(literal 0 binary64) b)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) a))))
(*.f64 (/.f64 c #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -2 binary64) b) (/.f64 b a)))
(*.f64 (/.f64 (/.f64 #s(literal -2 binary64) b) (/.f64 #s(literal 1 binary64) a)) (/.f64 c b))
(*.f64 (/.f64 (/.f64 #s(literal -2 binary64) b) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) a))) (-.f64 #s(literal 0 binary64) (/.f64 c b)))
(*.f64 (/.f64 c (/.f64 #s(literal 1 binary64) a)) (/.f64 (/.f64 #s(literal -2 binary64) b) b))
(*.f64 (/.f64 (/.f64 #s(literal -2 binary64) b) b) (/.f64 c (/.f64 #s(literal 1 binary64) a)))
(*.f64 (/.f64 c (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) a))) (/.f64 (/.f64 #s(literal -2 binary64) b) (-.f64 #s(literal 0 binary64) b)))
(*.f64 (/.f64 (/.f64 #s(literal -2 binary64) b) (-.f64 #s(literal 0 binary64) b)) (/.f64 c (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) a))))
(*.f64 (/.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) b)) (/.f64 (/.f64 c b) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) a))))
(*.f64 (/.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) a)) (/.f64 c (*.f64 b b)))
(*.f64 (/.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) a))) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 c b)) b))
(*.f64 (/.f64 (*.f64 c #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 b a)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) a))) (*.f64 #s(literal 2 binary64) (/.f64 c b)))
(*.f64 (/.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) a)) (/.f64 (/.f64 #s(literal 1 binary64) b) b))
(*.f64 (/.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) a))) (/.f64 (/.f64 #s(literal 1 binary64) b) (-.f64 #s(literal 0 binary64) b)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) (-.f64 #s(literal 0 binary64) b)) (/.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) a))))
(*.f64 (/.f64 (*.f64 c #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) b)) (/.f64 b a)))
(*.f64 (/.f64 (*.f64 c #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) a)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) b)) b))
(*.f64 (/.f64 (*.f64 c #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) a))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) b)) (-.f64 #s(literal 0 binary64) b)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 1 binary64)) (/.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 b a)))
(*.f64 (/.f64 (/.f64 #s(literal -2 binary64) b) #s(literal 1 binary64)) (/.f64 c (/.f64 b a)))
(*.f64 (/.f64 (/.f64 (*.f64 c #s(literal -2 binary64)) b) #s(literal 1 binary64)) (/.f64 a b))
(*.f64 (/.f64 (/.f64 (*.f64 c #s(literal -2 binary64)) b) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) a) b))
(*.f64 (/.f64 (/.f64 a b) #s(literal -1 binary64)) (/.f64 (*.f64 c #s(literal 2 binary64)) b))
(*.f64 (/.f64 (*.f64 c #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 a b) b))

simplify469.0ms (4.1%)

Memory
-49.4MiB live, 1 007.8MiB allocated
Algorithm
1×egg-herbie
Rules
7 282×*-lowering-*.f32
7 282×*-lowering-*.f64
6 230×accelerator-lowering-fma.f32
6 230×accelerator-lowering-fma.f64
4 200×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
012088970
140008726
080998405
Stop Event
1×iter limit
1×node limit
Counts
600 → 600
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)))
(* 1/2 (* (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)))))
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(* -1/2 (/ b c))
(* -1 (/ (+ (* 1/2 b) (* 1/2 (/ (pow b 3) (* a c)))) c))
(* -1 (/ (+ (* -1 (/ (- (* -1/2 (/ (pow b 5) (* (pow a 2) c))) (* 1/2 (/ (pow b 3) a))) c)) (* 1/2 b)) c))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow b 7) (* (pow a 3) c))) (* -1/2 (/ (pow b 5) (pow a 2)))) c)) (* 1/2 (/ (pow b 3) a))) c)) (* 1/2 b)) c))
2
(+ 2 (* -2 (/ (* a c) (pow b 2))))
(+ 2 (* -2 (/ (* a c) (pow b 2))))
(+ 2 (* -2 (/ (* a c) (pow b 2))))
(* -2 (/ (* a c) (pow b 2)))
(* c (+ (* -2 (/ a (pow b 2))) (* 2 (/ 1 c))))
(* c (+ (* -2 (/ a (pow b 2))) (* 2 (/ 1 c))))
(* c (+ (* -2 (/ a (pow b 2))) (* 2 (/ 1 c))))
(* -2 (/ (* a c) (pow b 2)))
(* -1 (* c (- (* 2 (/ a (pow b 2))) (* 2 (/ 1 c)))))
(* -1 (* c (- (* 2 (/ a (pow b 2))) (* 2 (/ 1 c)))))
(* -1 (* c (- (* 2 (/ a (pow b 2))) (* 2 (/ 1 c)))))
(* -2 (/ (* a c) (pow b 2)))
(/ (+ (* -2 (* a c)) (* 2 (pow b 2))) (pow b 2))
(/ (+ (* -2 (* a c)) (* 2 (pow b 2))) (pow b 2))
(/ (+ (* -2 (* a c)) (* 2 (pow b 2))) (pow b 2))
2
(+ 2 (* -2 (/ (* a c) (pow b 2))))
(+ 2 (* -2 (/ (* a c) (pow b 2))))
(+ 2 (* -2 (/ (* a c) (pow b 2))))
2
(+ 2 (* -2 (/ (* a c) (pow b 2))))
(+ 2 (* -2 (/ (* a c) (pow b 2))))
(+ 2 (* -2 (/ (* a c) (pow b 2))))
2
(+ 2 (* -2 (/ (* a c) (pow b 2))))
(+ 2 (* -2 (/ (* a c) (pow b 2))))
(+ 2 (* -2 (/ (* a c) (pow b 2))))
(* -2 (/ (* a c) (pow b 2)))
(* a (+ (* -2 (/ c (pow b 2))) (* 2 (/ 1 a))))
(* a (+ (* -2 (/ c (pow b 2))) (* 2 (/ 1 a))))
(* a (+ (* -2 (/ c (pow b 2))) (* 2 (/ 1 a))))
(* -2 (/ (* a c) (pow b 2)))
(* -1 (* a (- (* 2 (/ c (pow b 2))) (* 2 (/ 1 a)))))
(* -1 (* a (- (* 2 (/ c (pow b 2))) (* 2 (/ 1 a)))))
(* -1 (* a (- (* 2 (/ c (pow b 2))) (* 2 (/ 1 a)))))
(* 1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a))
(* 1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a))
(* 1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a))
(* 1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* 1/2 (/ b a)))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* 1/2 (/ b a)))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* 1/2 (/ b a)))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* 1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* 1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* 1/2 (/ b a)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* 1/2 (/ b a)))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* 1/2 (/ b a)))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* 1/2 (/ b a)))
(* 1/2 (/ b a))
(* b (+ (* 1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a))))
(* b (+ (* 1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a))))
(* b (+ (* 1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a))))
(* 1/2 (/ b a))
(* -1 (* b (- (* -1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a)))))
(* -1 (* b (- (* -1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a)))))
(* -1 (* b (- (* -1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a)))))
(* 1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a))
(* 1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a))
(* 1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a))
(* 1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* 1/2 (/ b (* a c)))))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* 1/2 (/ b (* a c)))))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* 1/2 (/ b (* a c)))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* -1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(/ a (+ b (* (sqrt (* a c)) (sqrt -4))))
(/ a (+ b (* (sqrt (* a c)) (sqrt -4))))
(/ a (+ b (* (sqrt (* a c)) (sqrt -4))))
(/ a (+ b (* (sqrt (* a c)) (sqrt -4))))
(* (sqrt (/ a c)) (/ 1 (sqrt -4)))
(+ (* -1 (/ b (* c (pow (sqrt -4) 2)))) (* (sqrt (/ a c)) (/ 1 (sqrt -4))))
(- (+ (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (/ b (* c (pow (sqrt -4) 2))))
(- (+ (* -1 (/ (pow b 3) (* a (* (pow c 2) (pow (sqrt -4) 4))))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (/ b (* c (pow (sqrt -4) 2)))))
(* -1/2 (* (sqrt (/ a c)) (sqrt -1)))
(+ (* -1/2 (* (sqrt (/ a c)) (sqrt -1))) (* 1/4 (/ b c)))
(+ (* -1 (/ (- (* 1/8 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (/ (* a b) c))) a)) (* -1/2 (* (sqrt (/ a c)) (sqrt -1))))
(+ (* -1 (/ (- (* -1 (/ (- (* -1/16 (/ (* a (pow b 3)) (pow c 2))) (* 1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1))))) a)) (* 1/4 (/ (* a b) c))) a)) (* -1/2 (* (sqrt (/ a c)) (sqrt -1))))
(* (sqrt (/ a c)) (/ 1 (sqrt -4)))
(+ (* -1 (/ b (* c (pow (sqrt -4) 2)))) (* (sqrt (/ a c)) (/ 1 (sqrt -4))))
(+ (* b (- (* (sqrt (/ 1 (* a (pow c 3)))) (/ b (pow (sqrt -4) 3))) (/ 1 (* c (pow (sqrt -4) 2))))) (* (sqrt (/ a c)) (/ 1 (sqrt -4))))
(+ (* b (- (* b (- (* -1 (/ b (* a (* (pow c 2) (pow (sqrt -4) 4))))) (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))))) (/ 1 (* c (pow (sqrt -4) 2))))) (* (sqrt (/ a c)) (/ 1 (sqrt -4))))
(/ a b)
(/ (+ a (* -1 (* (sqrt (* (pow a 3) c)) (/ (sqrt -4) b)))) b)
(/ (- (+ a (/ (* (pow a 2) (* c (pow (sqrt -4) 2))) (pow b 2))) (* (sqrt (* (pow a 3) c)) (/ (sqrt -4) b))) b)
(/ (- (+ a (* -1 (* (sqrt (* (pow a 5) (pow c 3))) (/ (pow (sqrt -4) 3) (pow b 3))))) (+ (* -1 (/ (* (pow a 2) (* c (pow (sqrt -4) 2))) (pow b 2))) (* (sqrt (* (pow a 3) c)) (/ (sqrt -4) b)))) b)
(/ a b)
(* -1 (/ (+ (* -1 a) (* (sqrt (* (pow a 3) c)) (/ (sqrt -4) b))) b))
(* -1 (/ (+ (* -1 a) (* -1 (/ (- (/ (* (pow a 2) (* c (pow (sqrt -4) 2))) b) (* (sqrt (* (pow a 3) c)) (sqrt -4))) b))) b))
(* -1 (/ (+ (* -1 a) (* -1 (/ (- (* -1 (/ (- (* (sqrt (* (pow a 5) (pow c 3))) (/ (pow (sqrt -4) 3) b)) (* (pow a 2) (* c (pow (sqrt -4) 2)))) b)) (* (sqrt (* (pow a 3) c)) (sqrt -4))) b))) b))
(/ a (+ b (* (sqrt (* a c)) (sqrt -4))))
(/ a (+ b (* (sqrt (* a c)) (sqrt -4))))
(/ a (+ b (* (sqrt (* a c)) (sqrt -4))))
(/ a (+ b (* (sqrt (* a c)) (sqrt -4))))
(* (sqrt (/ a c)) (/ 1 (sqrt -4)))
(/ (+ (* -1 (/ b (pow (sqrt -4) 2))) (* (sqrt (* a c)) (/ 1 (sqrt -4)))) c)
(/ (- (+ (* (sqrt (* a c)) (/ 1 (sqrt -4))) (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (/ b (pow (sqrt -4) 2))) c)
(/ (- (+ (* -1 (/ (pow b 3) (* a (* c (pow (sqrt -4) 4))))) (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (/ b (pow (sqrt -4) 2)))) c)
(* -1/2 (* (sqrt (/ a c)) (sqrt -1)))
(* -1 (/ (+ (* -1/4 b) (* 1/2 (* (sqrt (* a c)) (sqrt -1)))) c))
(* -1 (/ (+ (* -1 (/ (- (* -1/8 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1)))) (* -1/4 (* b c))) c)) (* 1/2 (* (sqrt (* a c)) (sqrt -1)))) c))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ (* (pow b 3) c) a)) (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1))))) c)) (* -1/4 (* b c))) c)) (* 1/2 (* (sqrt (* a c)) (sqrt -1)))) c))
(* (sqrt (* a c)) (sqrt -4))
(+ b (* (sqrt (* a c)) (sqrt -4)))
(+ b (* (sqrt (* a c)) (sqrt -4)))
(+ b (* (sqrt (* a c)) (sqrt -4)))
b
(* b (+ 1 (* (sqrt (* a c)) (/ (sqrt -4) b))))
(* b (+ 1 (* (sqrt (* a c)) (/ (sqrt -4) b))))
(* b (+ 1 (* (sqrt (* a c)) (/ (sqrt -4) b))))
b
(* -1 (* b (- (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b))) 1)))
(* -1 (* b (- (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b))) 1)))
(* -1 (* b (- (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b))) 1)))
(+ b (* (sqrt (* a c)) (sqrt -4)))
(+ b (* (sqrt (* a c)) (sqrt -4)))
(+ b (* (sqrt (* a c)) (sqrt -4)))
(+ b (* (sqrt (* a c)) (sqrt -4)))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))
(* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))
(* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(+ b (* (sqrt (* a c)) (sqrt -4)))
(+ b (* (sqrt (* a c)) (sqrt -4)))
(+ b (* (sqrt (* a c)) (sqrt -4)))
(+ b (* (sqrt (* a c)) (sqrt -4)))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))
(* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))
(* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -2 (* (sqrt (* a c)) (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))))))))
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))))))))
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (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))))
(-.f64 (-.f64 #s(literal 0 binary64) (/.f64 c b)) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b b))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(-.f64 (*.f64 a (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a (*.f64 c (*.f64 c c)))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))))) (/.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 (-.f64 (*.f64 a (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.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 c c) (*.f64 b (*.f64 b b))))) (/.f64 c b))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))) (/.f64 (*.f64 b #s(literal -1/2 binary64)) 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)))))
(+.f64 (/.f64 (*.f64 b #s(literal -1/2 binary64)) a) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))))))
(+ (* -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))))))
(+.f64 (/.f64 (*.f64 b #s(literal -1/2 binary64)) a) (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))))) (*.f64 #s(literal -1/16 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (*.f64 c (*.f64 c c)))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64))))))))
(* -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 (*.f64 b #s(literal -1/2 binary64)) 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)))
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(*.f64 c (+.f64 (+.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c))) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 c (*.f64 c c))))))) (*.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 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (pow.f64 c #s(literal 5 binary64))))))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -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 (+.f64 (*.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 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (pow.f64 c #s(literal 5 binary64)))))) (+.f64 (+.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c))) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 c (*.f64 c c))))))) (*.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 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 binary64)))))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a))))
(* -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) (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 c (*.f64 c c))))))))
(* -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) (+.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 c (*.f64 c c))))))) (*.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (pow.f64 c #s(literal 5 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) (+.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (pow.f64 c #s(literal 5 binary64)))))) (+.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 c (*.f64 c c))))))) (*.f64 #s(literal 1/512 binary64) (*.f64 (*.f64 (pow.f64 b #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 binary64)))))))))
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(* -2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c a)) (*.f64 b b))
(* -2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c a)) (*.f64 b b))
(* -2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c a)) (*.f64 b b))
(* -2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c a)) (*.f64 b b))
(* -2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c a)) (*.f64 b b))
(* -2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c a)) (*.f64 b b))
(* -2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c a)) (*.f64 b b))
(* -2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c a)) (*.f64 b b))
(* -2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c a)) (*.f64 b b))
(* -2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c a)) (*.f64 b b))
(* -2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c a)) (*.f64 b b))
(* -2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c a)) (*.f64 b b))
(* -2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c a)) (*.f64 b b))
(* -2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c a)) (*.f64 b b))
(* -2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c a)) (*.f64 b b))
(* -2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c a)) (*.f64 b b))
(* -2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c a)) (*.f64 b b))
(* -2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c a)) (*.f64 b b))
(* -2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c a)) (*.f64 b b))
(* -2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c a)) (*.f64 b b))
(* -2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c a)) (*.f64 b b))
(* -2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c a)) (*.f64 b b))
(* -2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c a)) (*.f64 b b))
(* -2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c a)) (*.f64 b b))
(* -2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c a)) (*.f64 b b))
(* -2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c a)) (*.f64 b b))
(* -2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c a)) (*.f64 b b))
(* -2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c a)) (*.f64 b b))
(* -2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c a)) (*.f64 b b))
(* -2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c a)) (*.f64 b b))
(* -2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c a)) (*.f64 b b))
(* -2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c a)) (*.f64 b b))
(* -2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c a)) (*.f64 b b))
(* -2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c a)) (*.f64 b b))
(* -2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c a)) (*.f64 b b))
(* -2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c a)) (*.f64 b b))

eval215.0ms (1.9%)

Memory
52.9MiB live, 506.1MiB allocated
Compiler

Compiled 38 443 to 5 159 computations (86.6% saved)

prune266.0ms (2.3%)

Memory
-19.3MiB live, 458.3MiB allocated
Pruning

44 alts after pruning (37 fresh and 7 done)

PrunedKeptTotal
New1 703191 722
Fresh91827
Picked055
Done123
Total1 713441 757
Accuracy
99.9%
Counts
1 757 → 44
Alt Table
Click to see full alt table
StatusAccuracyProgram
12.2%
(/.f64 (/.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) b) (*.f64 (+.f64 #s(literal 0 binary64) b) (*.f64 c a))) (*.f64 (+.f64 #s(literal 0 binary64) b) b)) a)
1.7%
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 (*.f64 c #s(literal -2 binary64)) b) (/.f64 b a))))))
34.0%
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c (/.f64 (/.f64 c b) b)))) c) b)
23.9%
(/.f64 (-.f64 (*.f64 (/.f64 b (/.f64 b c)) a) (*.f64 b b)) (*.f64 b a))
8.9%
(/.f64 (-.f64 (*.f64 (*.f64 c b) a) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 b b) a))
36.1%
(/.f64 (-.f64 (*.f64 b (/.f64 a #s(literal -1/2 binary64))) (*.f64 (/.f64 a #s(literal -1/2 binary64)) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) (*.f64 (/.f64 a #s(literal -1/2 binary64)) (/.f64 a #s(literal -1/2 binary64))))
24.2%
(/.f64 (-.f64 c (/.f64 (*.f64 b b) a)) b)
1.7%
(/.f64 (-.f64 b (*.f64 (/.f64 a b) c)) a)
39.1%
(/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) b))) (*.f64 #s(literal 2 binary64) a))
31.2%
(/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) (*.f64 #s(literal 2 binary64) a))
22.9%
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (+.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) (-.f64 b (sqrt.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)))))
1.5%
(/.f64 (*.f64 b (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 a c) (*.f64 b b)))) a)
39.0%
(/.f64 (*.f64 b (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b)) b)))) (*.f64 #s(literal 2 binary64) a))
19.0%
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) (*.f64 a (-.f64 b (sqrt.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c))))))
23.2%
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c))))) a)
✓10.9%
(/.f64 c b)
39.1%
(/.f64 b (-.f64 #s(literal 0 binary64) a))
✓2.1%
(/.f64 b a)
✓50.2%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a #s(literal -1/2 binary64)) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))))
33.5%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 c a) b) b) c))
26.8%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 a #s(literal 1/2 binary64)) b) (*.f64 c (/.f64 a #s(literal -1/2 binary64)))))
10.9%
(/.f64 #s(literal 1 binary64) (/.f64 b c))
34.3%
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 a b) (/.f64 b c)))
33.6%
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 a (+.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 (*.f64 #s(literal 2 binary64) a) (*.f64 #s(literal 1/2 binary64) (/.f64 c (*.f64 b (*.f64 b b))))))) (/.f64 b c)))
35.4%
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 a b)))
11.4%
(/.f64 #s(literal 1/2 binary64) (/.f64 a (+.f64 b (*.f64 (sqrt.f64 (*.f64 c #s(literal -4 binary64))) (sqrt.f64 a)))))
18.4%
(/.f64 #s(literal 1/2 binary64) (/.f64 a (+.f64 b (*.f64 (sqrt.f64 (*.f64 a #s(literal -4 binary64))) (sqrt.f64 c)))))
✓23.2%
(/.f64 #s(literal 1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
✓1.7%
(/.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b (+.f64 #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 c #s(literal -2 binary64)) b) (/.f64 a b))))))
10.9%
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 b #s(literal 1/2 binary64)) (*.f64 a c)) a))
1.1%
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 a (+.f64 #s(literal 8 binary64) (/.f64 (*.f64 #s(literal -8 binary64) (*.f64 (*.f64 c (/.f64 a b)) (*.f64 (*.f64 c a) (/.f64 (*.f64 c (/.f64 a b)) b)))) (*.f64 b (*.f64 b b))))) (/.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) (*.f64 b b)) #s(literal 2 binary64)) (/.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -2 binary64))))))))))
23.2%
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64))))) a))
2.1%
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) b) a))
11.0%
(/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal -1/2 binary64) (*.f64 a c))))) a))
10.9%
(/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) c))))
30.8%
(-.f64 (/.f64 (*.f64 c b) (*.f64 b b)) (/.f64 b a))
39.1%
(-.f64 (/.f64 c b) (/.f64 b a))
38.2%
(-.f64 (*.f64 (/.f64 c (*.f64 b b)) b) (/.f64 b a))
✓39.0%
(-.f64 (*.f64 b (/.f64 (/.f64 c b) b)) (/.f64 b a))
37.6%
(*.f64 (/.f64 (+.f64 (*.f64 (/.f64 c b) #s(literal 1 binary64)) (/.f64 b a)) b) (/.f64 (-.f64 (*.f64 (/.f64 c b) #s(literal 1 binary64)) (/.f64 b a)) (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal 1 binary64) a))))
✓50.2%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
32.7%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))))
39.0%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (*.f64 b #s(literal 2 binary64)))
34.2%
(neg.f64 (/.f64 c b))
Compiler

Compiled 1 934 to 823 computations (57.4% saved)

regimes88.0ms (0.8%)

Memory
16.3MiB live, 132.2MiB allocated
Counts
68 → 3
Calls
Call 1
Inputs
(/.f64 b a)
(/.f64 c b)
(neg.f64 (/.f64 c b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(/.f64 #s(literal 1 binary64) (/.f64 b c))
(/.f64 b (-.f64 #s(literal 0 binary64) a))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (*.f64 b #s(literal 2 binary64)))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) b) a))
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b #s(literal 1/2 binary64)) c))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 a b)))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 a b) (/.f64 b c)))
(/.f64 (-.f64 b (*.f64 (/.f64 a b) c)) a)
(/.f64 (-.f64 b (/.f64 (*.f64 c a) b)) a)
(/.f64 (-.f64 c (/.f64 (*.f64 b b) a)) b)
(/.f64 (neg.f64 (-.f64 b (*.f64 c (/.f64 a b)))) a)
(-.f64 (*.f64 b (/.f64 (/.f64 c b) b)) (/.f64 b a))
(-.f64 (*.f64 (/.f64 c (*.f64 b b)) b) (/.f64 b a))
(-.f64 (/.f64 (*.f64 c b) (*.f64 b b)) (/.f64 b a))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 b #s(literal 1/2 binary64)) (*.f64 a c)) a))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 c a) b) b) c))
(/.f64 (*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b)) (*.f64 #s(literal 2 binary64) a))
(/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) b))) (*.f64 #s(literal 2 binary64) a))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b))) (-.f64 #s(literal 0 binary64) b))
(-.f64 #s(literal 0 binary64) (*.f64 b (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 a #s(literal 1/2 binary64)) b) (*.f64 c (/.f64 a #s(literal -1/2 binary64)))))
(/.f64 (*.f64 b (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 a c) (*.f64 b b)))) a)
(/.f64 (-.f64 (*.f64 (/.f64 b (/.f64 b c)) a) (*.f64 b b)) (*.f64 b a))
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c (/.f64 (/.f64 c b) b)))) c) b)
(/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) c))))
(/.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b (+.f64 #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 c #s(literal -2 binary64)) b) (/.f64 a b))))))
(/.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c a)) (*.f64 b b))))))
(/.f64 (-.f64 (*.f64 (*.f64 c b) a) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 b b) a))
(/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal -1/2 binary64) (*.f64 a c))))) a))
(/.f64 (*.f64 b (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b)) b)))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 (*.f64 c #s(literal -2 binary64)) b) (/.f64 b a))))))
(/.f64 (+.f64 (neg.f64 b) (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b)) b)))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (/.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) b) (*.f64 (+.f64 #s(literal 0 binary64) b) (*.f64 c a))) (*.f64 (+.f64 #s(literal 0 binary64) b) b)) a)
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 a (+.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 (*.f64 #s(literal 2 binary64) a) (*.f64 #s(literal 1/2 binary64) (/.f64 c (*.f64 b (*.f64 b b))))))) (/.f64 b c)))
(*.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 c a) (/.f64 (*.f64 c (/.f64 a b)) b))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (*.f64 c (/.f64 a b)))) a))
(*.f64 (/.f64 (+.f64 (*.f64 (/.f64 c b) #s(literal 1 binary64)) (/.f64 b a)) b) (/.f64 (-.f64 (*.f64 (/.f64 c b) #s(literal 1 binary64)) (/.f64 b a)) (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal 1 binary64) a))))
(/.f64 (*.f64 (+.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 c (/.f64 a b)) (*.f64 (*.f64 c a) (/.f64 (*.f64 c (/.f64 a b)) b)))) (/.f64 #s(literal 1 binary64) a)) (+.f64 (*.f64 b b) (*.f64 (*.f64 c (/.f64 a b)) (+.f64 b (*.f64 c (/.f64 a b))))))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 a (+.f64 #s(literal 8 binary64) (/.f64 (*.f64 #s(literal -8 binary64) (*.f64 (*.f64 c (/.f64 a b)) (*.f64 (*.f64 c a) (/.f64 (*.f64 c (/.f64 a b)) b)))) (*.f64 b (*.f64 b b))))) (/.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) (*.f64 b b)) #s(literal 2 binary64)) (/.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -2 binary64))))))))))
(/.f64 (*.f64 (+.f64 (*.f64 b (*.f64 b b)) (*.f64 (+.f64 b (*.f64 (/.f64 c (/.f64 b (/.f64 a #s(literal -1/2 binary64)))) #s(literal 1 binary64))) (*.f64 (+.f64 b (*.f64 (/.f64 c (/.f64 b (/.f64 a #s(literal -1/2 binary64)))) #s(literal 1 binary64))) (+.f64 b (*.f64 (/.f64 c (/.f64 b (/.f64 a #s(literal -1/2 binary64)))) #s(literal 1 binary64)))))) (/.f64 #s(literal 1/2 binary64) a)) (+.f64 (*.f64 b b) (*.f64 (+.f64 b (*.f64 (/.f64 c (/.f64 b (/.f64 a #s(literal -1/2 binary64)))) #s(literal 1 binary64))) (-.f64 (+.f64 b (*.f64 (/.f64 c (/.f64 b (/.f64 a #s(literal -1/2 binary64)))) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) b)))))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 b b))) (*.f64 #s(literal 2 binary64) a))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))))
(/.f64 #s(literal 1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c))))) a)
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64))))) a))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
(/.f64 #s(literal 1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) a))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a #s(literal -1/2 binary64)) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))) (/.f64 #s(literal 1/2 binary64) a)))
(/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) (*.f64 a (-.f64 b (sqrt.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c))))))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (+.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) (-.f64 b (sqrt.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)))))
(/.f64 (+.f64 (neg.f64 b) (/.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (-.f64 (*.f64 b (/.f64 a #s(literal -1/2 binary64))) (*.f64 (/.f64 a #s(literal -1/2 binary64)) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) (*.f64 (/.f64 a #s(literal -1/2 binary64)) (/.f64 a #s(literal -1/2 binary64))))
(/.f64 (*.f64 (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) #s(literal -1/2 binary64)) (*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) a))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (+.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))))
(/.f64 #s(literal 1/2 binary64) (/.f64 a (+.f64 b (*.f64 (sqrt.f64 (*.f64 a #s(literal -4 binary64))) (sqrt.f64 c)))))
(/.f64 #s(literal 1/2 binary64) (/.f64 a (+.f64 b (*.f64 (sqrt.f64 (*.f64 c #s(literal -4 binary64))) (sqrt.f64 a)))))
Outputs
(/.f64 b (-.f64 #s(literal 0 binary64) a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))
(neg.f64 (/.f64 c b))
Calls

4 calls:

22.0ms
c
21.0ms
b
21.0ms
a
16.0ms
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))
Results
AccuracySegmentsBranch
53.1%2a
90.1%3b
52.0%2c
73.9%5(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))
Compiler

Compiled 32 to 23 computations (28.1% saved)

regimes21.0ms (0.2%)

Memory
23.9MiB live, 23.9MiB allocated
Counts
52 → 3
Calls
Call 1
Inputs
(/.f64 b a)
(/.f64 c b)
(neg.f64 (/.f64 c b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(/.f64 #s(literal 1 binary64) (/.f64 b c))
(/.f64 b (-.f64 #s(literal 0 binary64) a))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (*.f64 b #s(literal 2 binary64)))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) b) a))
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b #s(literal 1/2 binary64)) c))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 a b)))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 a b) (/.f64 b c)))
(/.f64 (-.f64 b (*.f64 (/.f64 a b) c)) a)
(/.f64 (-.f64 b (/.f64 (*.f64 c a) b)) a)
(/.f64 (-.f64 c (/.f64 (*.f64 b b) a)) b)
(/.f64 (neg.f64 (-.f64 b (*.f64 c (/.f64 a b)))) a)
(-.f64 (*.f64 b (/.f64 (/.f64 c b) b)) (/.f64 b a))
(-.f64 (*.f64 (/.f64 c (*.f64 b b)) b) (/.f64 b a))
(-.f64 (/.f64 (*.f64 c b) (*.f64 b b)) (/.f64 b a))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 b #s(literal 1/2 binary64)) (*.f64 a c)) a))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 c a) b) b) c))
(/.f64 (*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b)) (*.f64 #s(literal 2 binary64) a))
(/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) b))) (*.f64 #s(literal 2 binary64) a))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b))) (-.f64 #s(literal 0 binary64) b))
(-.f64 #s(literal 0 binary64) (*.f64 b (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 a #s(literal 1/2 binary64)) b) (*.f64 c (/.f64 a #s(literal -1/2 binary64)))))
(/.f64 (*.f64 b (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 a c) (*.f64 b b)))) a)
(/.f64 (-.f64 (*.f64 (/.f64 b (/.f64 b c)) a) (*.f64 b b)) (*.f64 b a))
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c (/.f64 (/.f64 c b) b)))) c) b)
(/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) c))))
(/.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b (+.f64 #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 c #s(literal -2 binary64)) b) (/.f64 a b))))))
(/.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c a)) (*.f64 b b))))))
(/.f64 (-.f64 (*.f64 (*.f64 c b) a) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 b b) a))
(/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal -1/2 binary64) (*.f64 a c))))) a))
(/.f64 (*.f64 b (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b)) b)))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 (*.f64 c #s(literal -2 binary64)) b) (/.f64 b a))))))
(/.f64 (+.f64 (neg.f64 b) (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b)) b)))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (/.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) b) (*.f64 (+.f64 #s(literal 0 binary64) b) (*.f64 c a))) (*.f64 (+.f64 #s(literal 0 binary64) b) b)) a)
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 a (+.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 (*.f64 #s(literal 2 binary64) a) (*.f64 #s(literal 1/2 binary64) (/.f64 c (*.f64 b (*.f64 b b))))))) (/.f64 b c)))
(*.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 c a) (/.f64 (*.f64 c (/.f64 a b)) b))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (*.f64 c (/.f64 a b)))) a))
(*.f64 (/.f64 (+.f64 (*.f64 (/.f64 c b) #s(literal 1 binary64)) (/.f64 b a)) b) (/.f64 (-.f64 (*.f64 (/.f64 c b) #s(literal 1 binary64)) (/.f64 b a)) (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal 1 binary64) a))))
(/.f64 (*.f64 (+.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 c (/.f64 a b)) (*.f64 (*.f64 c a) (/.f64 (*.f64 c (/.f64 a b)) b)))) (/.f64 #s(literal 1 binary64) a)) (+.f64 (*.f64 b b) (*.f64 (*.f64 c (/.f64 a b)) (+.f64 b (*.f64 c (/.f64 a b))))))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 a (+.f64 #s(literal 8 binary64) (/.f64 (*.f64 #s(literal -8 binary64) (*.f64 (*.f64 c (/.f64 a b)) (*.f64 (*.f64 c a) (/.f64 (*.f64 c (/.f64 a b)) b)))) (*.f64 b (*.f64 b b))))) (/.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) (*.f64 b b)) #s(literal 2 binary64)) (/.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -2 binary64))))))))))
(/.f64 (*.f64 (+.f64 (*.f64 b (*.f64 b b)) (*.f64 (+.f64 b (*.f64 (/.f64 c (/.f64 b (/.f64 a #s(literal -1/2 binary64)))) #s(literal 1 binary64))) (*.f64 (+.f64 b (*.f64 (/.f64 c (/.f64 b (/.f64 a #s(literal -1/2 binary64)))) #s(literal 1 binary64))) (+.f64 b (*.f64 (/.f64 c (/.f64 b (/.f64 a #s(literal -1/2 binary64)))) #s(literal 1 binary64)))))) (/.f64 #s(literal 1/2 binary64) a)) (+.f64 (*.f64 b b) (*.f64 (+.f64 b (*.f64 (/.f64 c (/.f64 b (/.f64 a #s(literal -1/2 binary64)))) #s(literal 1 binary64))) (-.f64 (+.f64 b (*.f64 (/.f64 c (/.f64 b (/.f64 a #s(literal -1/2 binary64)))) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) b)))))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 b b))) (*.f64 #s(literal 2 binary64) a))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))))
(/.f64 #s(literal 1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c))))) a)
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64))))) a))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
(/.f64 #s(literal 1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))))
Outputs
(/.f64 b (-.f64 #s(literal 0 binary64) a))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
(neg.f64 (/.f64 c b))
Calls

1 calls:

14.0ms
b
Results
AccuracySegmentsBranch
90.0%3b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes56.0ms (0.5%)

Memory
-49.8MiB live, 49.0MiB allocated
Counts
50 → 3
Calls
Call 1
Inputs
(/.f64 b a)
(/.f64 c b)
(neg.f64 (/.f64 c b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(/.f64 #s(literal 1 binary64) (/.f64 b c))
(/.f64 b (-.f64 #s(literal 0 binary64) a))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (*.f64 b #s(literal 2 binary64)))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) b) a))
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b #s(literal 1/2 binary64)) c))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 a b)))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 a b) (/.f64 b c)))
(/.f64 (-.f64 b (*.f64 (/.f64 a b) c)) a)
(/.f64 (-.f64 b (/.f64 (*.f64 c a) b)) a)
(/.f64 (-.f64 c (/.f64 (*.f64 b b) a)) b)
(/.f64 (neg.f64 (-.f64 b (*.f64 c (/.f64 a b)))) a)
(-.f64 (*.f64 b (/.f64 (/.f64 c b) b)) (/.f64 b a))
(-.f64 (*.f64 (/.f64 c (*.f64 b b)) b) (/.f64 b a))
(-.f64 (/.f64 (*.f64 c b) (*.f64 b b)) (/.f64 b a))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 b #s(literal 1/2 binary64)) (*.f64 a c)) a))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 c a) b) b) c))
(/.f64 (*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b)) (*.f64 #s(literal 2 binary64) a))
(/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) b))) (*.f64 #s(literal 2 binary64) a))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b))) (-.f64 #s(literal 0 binary64) b))
(-.f64 #s(literal 0 binary64) (*.f64 b (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 a #s(literal 1/2 binary64)) b) (*.f64 c (/.f64 a #s(literal -1/2 binary64)))))
(/.f64 (*.f64 b (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 a c) (*.f64 b b)))) a)
(/.f64 (-.f64 (*.f64 (/.f64 b (/.f64 b c)) a) (*.f64 b b)) (*.f64 b a))
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c (/.f64 (/.f64 c b) b)))) c) b)
(/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) c))))
(/.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b (+.f64 #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 c #s(literal -2 binary64)) b) (/.f64 a b))))))
(/.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c a)) (*.f64 b b))))))
(/.f64 (-.f64 (*.f64 (*.f64 c b) a) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 b b) a))
(/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal -1/2 binary64) (*.f64 a c))))) a))
(/.f64 (*.f64 b (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b)) b)))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 (*.f64 c #s(literal -2 binary64)) b) (/.f64 b a))))))
(/.f64 (+.f64 (neg.f64 b) (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b)) b)))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (/.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) b) (*.f64 (+.f64 #s(literal 0 binary64) b) (*.f64 c a))) (*.f64 (+.f64 #s(literal 0 binary64) b) b)) a)
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 a (+.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 (*.f64 #s(literal 2 binary64) a) (*.f64 #s(literal 1/2 binary64) (/.f64 c (*.f64 b (*.f64 b b))))))) (/.f64 b c)))
(*.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 c a) (/.f64 (*.f64 c (/.f64 a b)) b))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (*.f64 c (/.f64 a b)))) a))
(*.f64 (/.f64 (+.f64 (*.f64 (/.f64 c b) #s(literal 1 binary64)) (/.f64 b a)) b) (/.f64 (-.f64 (*.f64 (/.f64 c b) #s(literal 1 binary64)) (/.f64 b a)) (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal 1 binary64) a))))
(/.f64 (*.f64 (+.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 c (/.f64 a b)) (*.f64 (*.f64 c a) (/.f64 (*.f64 c (/.f64 a b)) b)))) (/.f64 #s(literal 1 binary64) a)) (+.f64 (*.f64 b b) (*.f64 (*.f64 c (/.f64 a b)) (+.f64 b (*.f64 c (/.f64 a b))))))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 a (+.f64 #s(literal 8 binary64) (/.f64 (*.f64 #s(literal -8 binary64) (*.f64 (*.f64 c (/.f64 a b)) (*.f64 (*.f64 c a) (/.f64 (*.f64 c (/.f64 a b)) b)))) (*.f64 b (*.f64 b b))))) (/.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) (*.f64 b b)) #s(literal 2 binary64)) (/.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -2 binary64))))))))))
(/.f64 (*.f64 (+.f64 (*.f64 b (*.f64 b b)) (*.f64 (+.f64 b (*.f64 (/.f64 c (/.f64 b (/.f64 a #s(literal -1/2 binary64)))) #s(literal 1 binary64))) (*.f64 (+.f64 b (*.f64 (/.f64 c (/.f64 b (/.f64 a #s(literal -1/2 binary64)))) #s(literal 1 binary64))) (+.f64 b (*.f64 (/.f64 c (/.f64 b (/.f64 a #s(literal -1/2 binary64)))) #s(literal 1 binary64)))))) (/.f64 #s(literal 1/2 binary64) a)) (+.f64 (*.f64 b b) (*.f64 (+.f64 b (*.f64 (/.f64 c (/.f64 b (/.f64 a #s(literal -1/2 binary64)))) #s(literal 1 binary64))) (-.f64 (+.f64 b (*.f64 (/.f64 c (/.f64 b (/.f64 a #s(literal -1/2 binary64)))) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) b)))))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 b b))) (*.f64 #s(literal 2 binary64) a))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))))
(/.f64 #s(literal 1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c))))) a)
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64))))) a))
Outputs
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))
(neg.f64 (/.f64 c b))
Calls

1 calls:

14.0ms
b
Results
AccuracySegmentsBranch
86.5%3b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes22.0ms (0.2%)

Memory
8.1MiB live, 45.7MiB allocated
Counts
48 → 3
Calls
Call 1
Inputs
(/.f64 b a)
(/.f64 c b)
(neg.f64 (/.f64 c b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(/.f64 #s(literal 1 binary64) (/.f64 b c))
(/.f64 b (-.f64 #s(literal 0 binary64) a))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (*.f64 b #s(literal 2 binary64)))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) b) a))
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b #s(literal 1/2 binary64)) c))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 a b)))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 a b) (/.f64 b c)))
(/.f64 (-.f64 b (*.f64 (/.f64 a b) c)) a)
(/.f64 (-.f64 b (/.f64 (*.f64 c a) b)) a)
(/.f64 (-.f64 c (/.f64 (*.f64 b b) a)) b)
(/.f64 (neg.f64 (-.f64 b (*.f64 c (/.f64 a b)))) a)
(-.f64 (*.f64 b (/.f64 (/.f64 c b) b)) (/.f64 b a))
(-.f64 (*.f64 (/.f64 c (*.f64 b b)) b) (/.f64 b a))
(-.f64 (/.f64 (*.f64 c b) (*.f64 b b)) (/.f64 b a))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 b #s(literal 1/2 binary64)) (*.f64 a c)) a))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 c a) b) b) c))
(/.f64 (*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b)) (*.f64 #s(literal 2 binary64) a))
(/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) b))) (*.f64 #s(literal 2 binary64) a))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b))) (-.f64 #s(literal 0 binary64) b))
(-.f64 #s(literal 0 binary64) (*.f64 b (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 a #s(literal 1/2 binary64)) b) (*.f64 c (/.f64 a #s(literal -1/2 binary64)))))
(/.f64 (*.f64 b (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 a c) (*.f64 b b)))) a)
(/.f64 (-.f64 (*.f64 (/.f64 b (/.f64 b c)) a) (*.f64 b b)) (*.f64 b a))
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c (/.f64 (/.f64 c b) b)))) c) b)
(/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) c))))
(/.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b (+.f64 #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 c #s(literal -2 binary64)) b) (/.f64 a b))))))
(/.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c a)) (*.f64 b b))))))
(/.f64 (-.f64 (*.f64 (*.f64 c b) a) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 b b) a))
(/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal -1/2 binary64) (*.f64 a c))))) a))
(/.f64 (*.f64 b (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b)) b)))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 (*.f64 c #s(literal -2 binary64)) b) (/.f64 b a))))))
(/.f64 (+.f64 (neg.f64 b) (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b)) b)))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (/.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) b) (*.f64 (+.f64 #s(literal 0 binary64) b) (*.f64 c a))) (*.f64 (+.f64 #s(literal 0 binary64) b) b)) a)
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 a (+.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 (*.f64 #s(literal 2 binary64) a) (*.f64 #s(literal 1/2 binary64) (/.f64 c (*.f64 b (*.f64 b b))))))) (/.f64 b c)))
(*.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 c a) (/.f64 (*.f64 c (/.f64 a b)) b))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (*.f64 c (/.f64 a b)))) a))
(*.f64 (/.f64 (+.f64 (*.f64 (/.f64 c b) #s(literal 1 binary64)) (/.f64 b a)) b) (/.f64 (-.f64 (*.f64 (/.f64 c b) #s(literal 1 binary64)) (/.f64 b a)) (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal 1 binary64) a))))
(/.f64 (*.f64 (+.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 c (/.f64 a b)) (*.f64 (*.f64 c a) (/.f64 (*.f64 c (/.f64 a b)) b)))) (/.f64 #s(literal 1 binary64) a)) (+.f64 (*.f64 b b) (*.f64 (*.f64 c (/.f64 a b)) (+.f64 b (*.f64 c (/.f64 a b))))))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 a (+.f64 #s(literal 8 binary64) (/.f64 (*.f64 #s(literal -8 binary64) (*.f64 (*.f64 c (/.f64 a b)) (*.f64 (*.f64 c a) (/.f64 (*.f64 c (/.f64 a b)) b)))) (*.f64 b (*.f64 b b))))) (/.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) (*.f64 b b)) #s(literal 2 binary64)) (/.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -2 binary64))))))))))
(/.f64 (*.f64 (+.f64 (*.f64 b (*.f64 b b)) (*.f64 (+.f64 b (*.f64 (/.f64 c (/.f64 b (/.f64 a #s(literal -1/2 binary64)))) #s(literal 1 binary64))) (*.f64 (+.f64 b (*.f64 (/.f64 c (/.f64 b (/.f64 a #s(literal -1/2 binary64)))) #s(literal 1 binary64))) (+.f64 b (*.f64 (/.f64 c (/.f64 b (/.f64 a #s(literal -1/2 binary64)))) #s(literal 1 binary64)))))) (/.f64 #s(literal 1/2 binary64) a)) (+.f64 (*.f64 b b) (*.f64 (+.f64 b (*.f64 (/.f64 c (/.f64 b (/.f64 a #s(literal -1/2 binary64)))) #s(literal 1 binary64))) (-.f64 (+.f64 b (*.f64 (/.f64 c (/.f64 b (/.f64 a #s(literal -1/2 binary64)))) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) b)))))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 b b))) (*.f64 #s(literal 2 binary64) a))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))))
(/.f64 #s(literal 1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c))))) a)
Outputs
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))))
(neg.f64 (/.f64 c b))
Calls

1 calls:

13.0ms
b
Results
AccuracySegmentsBranch
86.4%3b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes17.0ms (0.1%)

Memory
1.1MiB live, 39.3MiB allocated
Counts
45 → 2
Calls
Call 1
Inputs
(/.f64 b a)
(/.f64 c b)
(neg.f64 (/.f64 c b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(/.f64 #s(literal 1 binary64) (/.f64 b c))
(/.f64 b (-.f64 #s(literal 0 binary64) a))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (*.f64 b #s(literal 2 binary64)))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) b) a))
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b #s(literal 1/2 binary64)) c))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 a b)))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 a b) (/.f64 b c)))
(/.f64 (-.f64 b (*.f64 (/.f64 a b) c)) a)
(/.f64 (-.f64 b (/.f64 (*.f64 c a) b)) a)
(/.f64 (-.f64 c (/.f64 (*.f64 b b) a)) b)
(/.f64 (neg.f64 (-.f64 b (*.f64 c (/.f64 a b)))) a)
(-.f64 (*.f64 b (/.f64 (/.f64 c b) b)) (/.f64 b a))
(-.f64 (*.f64 (/.f64 c (*.f64 b b)) b) (/.f64 b a))
(-.f64 (/.f64 (*.f64 c b) (*.f64 b b)) (/.f64 b a))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 b #s(literal 1/2 binary64)) (*.f64 a c)) a))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 c a) b) b) c))
(/.f64 (*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b)) (*.f64 #s(literal 2 binary64) a))
(/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) b))) (*.f64 #s(literal 2 binary64) a))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b))) (-.f64 #s(literal 0 binary64) b))
(-.f64 #s(literal 0 binary64) (*.f64 b (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 a #s(literal 1/2 binary64)) b) (*.f64 c (/.f64 a #s(literal -1/2 binary64)))))
(/.f64 (*.f64 b (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 a c) (*.f64 b b)))) a)
(/.f64 (-.f64 (*.f64 (/.f64 b (/.f64 b c)) a) (*.f64 b b)) (*.f64 b a))
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c (/.f64 (/.f64 c b) b)))) c) b)
(/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) c))))
(/.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b (+.f64 #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 c #s(literal -2 binary64)) b) (/.f64 a b))))))
(/.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c a)) (*.f64 b b))))))
(/.f64 (-.f64 (*.f64 (*.f64 c b) a) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 b b) a))
(/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal -1/2 binary64) (*.f64 a c))))) a))
(/.f64 (*.f64 b (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b)) b)))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 (*.f64 c #s(literal -2 binary64)) b) (/.f64 b a))))))
(/.f64 (+.f64 (neg.f64 b) (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b)) b)))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (/.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) b) (*.f64 (+.f64 #s(literal 0 binary64) b) (*.f64 c a))) (*.f64 (+.f64 #s(literal 0 binary64) b) b)) a)
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 a (+.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 (*.f64 #s(literal 2 binary64) a) (*.f64 #s(literal 1/2 binary64) (/.f64 c (*.f64 b (*.f64 b b))))))) (/.f64 b c)))
(*.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 c a) (/.f64 (*.f64 c (/.f64 a b)) b))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (*.f64 c (/.f64 a b)))) a))
(*.f64 (/.f64 (+.f64 (*.f64 (/.f64 c b) #s(literal 1 binary64)) (/.f64 b a)) b) (/.f64 (-.f64 (*.f64 (/.f64 c b) #s(literal 1 binary64)) (/.f64 b a)) (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal 1 binary64) a))))
(/.f64 (*.f64 (+.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 c (/.f64 a b)) (*.f64 (*.f64 c a) (/.f64 (*.f64 c (/.f64 a b)) b)))) (/.f64 #s(literal 1 binary64) a)) (+.f64 (*.f64 b b) (*.f64 (*.f64 c (/.f64 a b)) (+.f64 b (*.f64 c (/.f64 a b))))))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 a (+.f64 #s(literal 8 binary64) (/.f64 (*.f64 #s(literal -8 binary64) (*.f64 (*.f64 c (/.f64 a b)) (*.f64 (*.f64 c a) (/.f64 (*.f64 c (/.f64 a b)) b)))) (*.f64 b (*.f64 b b))))) (/.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) (*.f64 b b)) #s(literal 2 binary64)) (/.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -2 binary64))))))))))
(/.f64 (*.f64 (+.f64 (*.f64 b (*.f64 b b)) (*.f64 (+.f64 b (*.f64 (/.f64 c (/.f64 b (/.f64 a #s(literal -1/2 binary64)))) #s(literal 1 binary64))) (*.f64 (+.f64 b (*.f64 (/.f64 c (/.f64 b (/.f64 a #s(literal -1/2 binary64)))) #s(literal 1 binary64))) (+.f64 b (*.f64 (/.f64 c (/.f64 b (/.f64 a #s(literal -1/2 binary64)))) #s(literal 1 binary64)))))) (/.f64 #s(literal 1/2 binary64) a)) (+.f64 (*.f64 b b) (*.f64 (+.f64 b (*.f64 (/.f64 c (/.f64 b (/.f64 a #s(literal -1/2 binary64)))) #s(literal 1 binary64))) (-.f64 (+.f64 b (*.f64 (/.f64 c (/.f64 b (/.f64 a #s(literal -1/2 binary64)))) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) b)))))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 b b))) (*.f64 #s(literal 2 binary64) a))
Outputs
(-.f64 (/.f64 c b) (/.f64 b a))
(neg.f64 (/.f64 c b))
Calls

1 calls:

14.0ms
b
Results
AccuracySegmentsBranch
71.1%2b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes4.0ms (0%)

Memory
10.9MiB live, 10.9MiB allocated
Counts
7 → 2
Calls
Call 1
Inputs
(/.f64 b a)
(/.f64 c b)
(neg.f64 (/.f64 c b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(/.f64 #s(literal 1 binary64) (/.f64 b c))
(/.f64 b (-.f64 #s(literal 0 binary64) a))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (*.f64 b #s(literal 2 binary64)))
Outputs
(/.f64 b (-.f64 #s(literal 0 binary64) a))
(neg.f64 (/.f64 c b))
Calls

1 calls:

3.0ms
b
Results
AccuracySegmentsBranch
71.0%2b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes9.0ms (0.1%)

Memory
-19.0MiB live, 19.7MiB allocated
Counts
5 → 1
Calls
Call 1
Inputs
(/.f64 b a)
(/.f64 c b)
(neg.f64 (/.f64 c b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(/.f64 #s(literal 1 binary64) (/.f64 b c))
Outputs
(neg.f64 (/.f64 c b))
Calls

3 calls:

3.0ms
c
2.0ms
b
2.0ms
a
Results
AccuracySegmentsBranch
34.2%1c
34.2%1a
34.2%1b
Compiler

Compiled 12 to 9 computations (25% saved)

regimes5.0ms (0%)

Memory
14.5MiB live, 14.5MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
(/.f64 b a)
(/.f64 c b)
Outputs
(/.f64 c b)
Calls

3 calls:

2.0ms
c
2.0ms
b
2.0ms
a
Results
AccuracySegmentsBranch
10.9%1c
10.9%1b
10.9%1a
Compiler

Compiled 12 to 9 computations (25% saved)

regimes4.0ms (0%)

Memory
11.5MiB live, 11.5MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
(/.f64 b a)
Outputs
(/.f64 b a)
Calls

3 calls:

1.0ms
a
1.0ms
c
1.0ms
b
Results
AccuracySegmentsBranch
2.1%1b
2.1%1c
2.1%1a
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch53.0ms (0.5%)

Memory
-5.7MiB live, 76.9MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×predicate-same
Steps
TimeLeftRight
38.0ms
1.4865775868972804e-119
2.6358656618038925e-102
10.0ms
-1.3808278904496018e+130
-6.089854425707023e+121
Samples
16.0ms42×1valid
15.0ms159×0valid
5.0ms23×2valid
4.0ms44×0invalid
Compiler

Compiled 433 to 318 computations (26.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 31.0ms
ival-div: 14.0ms (45.4% of total)
ival-mult: 7.0ms (22.7% of total)
ival-sqrt: 3.0ms (9.7% of total)
ival-neg: 2.0ms (6.5% of total)
ival-add: 2.0ms (6.5% of total)
adjust: 1.0ms (3.2% of total)
ival-sub: 1.0ms (3.2% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch64.0ms (0.6%)

Memory
14.2MiB live, 90.7MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
29.0ms
1.4865775868972804e-119
2.6358656618038925e-102
28.0ms
-1.3808278904496018e+130
-6.089854425707023e+121
Samples
31.0ms247×0valid
6.0ms24×2valid
5.0ms33×1valid
4.0ms51×0invalid
Compiler

Compiled 564 to 409 computations (27.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-mult: 10.0ms (41.6% of total)
ival-div: 3.0ms (12.5% of total)
ival-sqrt: 3.0ms (12.5% of total)
ival-sub: 2.0ms (8.3% of total)
ival-neg: 2.0ms (8.3% of total)
ival-add: 2.0ms (8.3% of total)
adjust: 1.0ms (4.2% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch60.0ms (0.5%)

Memory
-9.6MiB live, 105.6MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
30.0ms
1.4865775868972804e-119
2.6358656618038925e-102
23.0ms
-1.837669014160562e-76
-9.412541190597052e-86
Samples
23.0ms250×0valid
8.0ms91×0invalid
6.0ms43×1valid
2.0ms11×2valid
Compiler

Compiled 525 to 390 computations (25.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-mult: 14.0ms (49.7% of total)
ival-div: 3.0ms (10.6% of total)
ival-sqrt: 3.0ms (10.6% of total)
ival-sub: 2.0ms (7.1% of total)
ival-neg: 2.0ms (7.1% of total)
ival-add: 2.0ms (7.1% of total)
adjust: 1.0ms (3.5% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch64.0ms (0.6%)

Memory
13.1MiB live, 128.0MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
34.0ms
1.4865775868972804e-119
2.6358656618038925e-102
23.0ms
-1.837669014160562e-76
-9.412541190597052e-86
Samples
21.0ms252×0valid
11.0ms37×1valid
9.0ms118×0invalid
3.0ms15×2valid
Compiler

Compiled 506 to 371 computations (26.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 33.0ms
ival-mult: 13.0ms (39.8% of total)
ival-add: 6.0ms (18.4% of total)
ival-sqrt: 5.0ms (15.3% of total)
ival-div: 3.0ms (9.2% of total)
ival-sub: 2.0ms (6.1% of total)
ival-neg: 2.0ms (6.1% of total)
adjust: 1.0ms (3.1% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch31.0ms (0.3%)

Memory
-13.2MiB live, 64.9MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
28.0ms
-2.2594532017057663e-308
2.3805536159892336e-299
Samples
13.0ms160×0valid
8.0ms80×0invalid
Compiler

Compiled 213 to 150 computations (29.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-mult: 8.0ms (55.8% of total)
ival-sqrt: 2.0ms (13.9% of total)
ival-div: 1.0ms (7% of total)
ival-add: 1.0ms (7% of total)
ival-sub: 1.0ms (7% of total)
ival-neg: 1.0ms (7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch78.0ms (0.7%)

Memory
-1.1MiB live, 49.5MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
75.0ms
-2.2594532017057663e-308
2.3805536159892336e-299
Samples
56.0ms80×0invalid
12.0ms160×0valid
Compiler

Compiled 193 to 150 computations (22.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 62.0ms
ival-mult: 55.0ms (89.2% of total)
ival-div: 1.0ms (1.6% of total)
ival-add: 1.0ms (1.6% of total)
ival-sub: 1.0ms (1.6% of total)
ival-sqrt: 1.0ms (1.6% of total)
ival-neg: 1.0ms (1.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

simplify14.0ms (0.1%)

Memory
-18.8MiB live, 19.7MiB allocated
Algorithm
1×egg-herbie
Rules
38×*-commutative_binary64
34×+-commutative_binary64
28×sub-neg_binary64
20×neg-mul-1_binary64
18×neg-sub0_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
066165
1100163
2135163
3152163
4160163
5161163
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 b #s(literal -499999999999999962433880809496441021272335434917419230719612986112647099987896513301581746881408826875765029206827766141419520 binary64)) (/.f64 b (-.f64 #s(literal 0 binary64) a)) (if (<=.f64 b #s(literal 2396327886864651/41315998049390537434494706752048189989275292685267576205290549704650361952269459114074325652482205302974450751563959894016 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (neg.f64 (/.f64 c b))))
(if (<=.f64 b #s(literal -240000000000000018041876859964370070593142975444577971235898184565863822058179649119489864263461928502783829209324606318402600960 binary64)) (/.f64 b (-.f64 #s(literal 0 binary64) a)) (if (<=.f64 b #s(literal 6556493831080041/2521728396569246669585858566409191283525103313309788586748690777871726193375821479130513040312634601011624191379636224 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (neg.f64 (/.f64 c b))))
(if (<=.f64 b #s(literal -7860432292188949/34175792574734561318320347298712833833643272357706444319152665725155515612490248800367393390985216 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b #s(literal 4332296397063773/2707685248164858261307045101702230179137145581421695874189921465443966120903931272499975005961073806735733604454495675614232576 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a)) (neg.f64 (/.f64 c b))))
(if (<=.f64 b #s(literal -1303703024854071/8148143905337944345073782753637512644205873574663745002544561797417525199053346824733589504 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b #s(literal 7060839510393891/10086913586276986678343434265636765134100413253239154346994763111486904773503285916522052161250538404046496765518544896 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (neg.f64 (/.f64 c b))))
(if (<=.f64 b #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (neg.f64 (/.f64 c b)))
(if (<=.f64 b #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (/.f64 b (-.f64 #s(literal 0 binary64) a)) (neg.f64 (/.f64 c b)))
(neg.f64 (/.f64 c b))
(/.f64 c b)
(/.f64 b a)
Outputs
(if (<=.f64 b #s(literal -499999999999999962433880809496441021272335434917419230719612986112647099987896513301581746881408826875765029206827766141419520 binary64)) (/.f64 b (-.f64 #s(literal 0 binary64) a)) (if (<=.f64 b #s(literal 2396327886864651/41315998049390537434494706752048189989275292685267576205290549704650361952269459114074325652482205302974450751563959894016 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (neg.f64 (/.f64 c b))))
(if (<=.f64 b #s(literal -499999999999999962433880809496441021272335434917419230719612986112647099987896513301581746881408826875765029206827766141419520 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) b) a) (if (<=.f64 b #s(literal 2396327886864651/41315998049390537434494706752048189989275292685267576205290549704650361952269459114074325652482205302974450751563959894016 binary64)) (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 4 binary64)) c))) b) (*.f64 a #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (/.f64 c b))))
(if (<=.f64 b #s(literal -240000000000000018041876859964370070593142975444577971235898184565863822058179649119489864263461928502783829209324606318402600960 binary64)) (/.f64 b (-.f64 #s(literal 0 binary64) a)) (if (<=.f64 b #s(literal 6556493831080041/2521728396569246669585858566409191283525103313309788586748690777871726193375821479130513040312634601011624191379636224 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (neg.f64 (/.f64 c b))))
(if (<=.f64 b #s(literal -240000000000000018041876859964370070593142975444577971235898184565863822058179649119489864263461928502783829209324606318402600960 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) b) a) (if (<=.f64 b #s(literal 6556493831080041/2521728396569246669585858566409191283525103313309788586748690777871726193375821479130513040312634601011624191379636224 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (-.f64 #s(literal 0 binary64) (/.f64 c b))))
(if (<=.f64 b #s(literal -7860432292188949/34175792574734561318320347298712833833643272357706444319152665725155515612490248800367393390985216 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b #s(literal 4332296397063773/2707685248164858261307045101702230179137145581421695874189921465443966120903931272499975005961073806735733604454495675614232576 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a)) (neg.f64 (/.f64 c b))))
(if (<=.f64 b #s(literal -7860432292188949/34175792574734561318320347298712833833643272357706444319152665725155515612490248800367393390985216 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b #s(literal 4332296397063773/2707685248164858261307045101702230179137145581421695874189921465443966120903931272499975005961073806735733604454495675614232576 binary64)) (/.f64 (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b) (*.f64 a #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (/.f64 c b))))
(if (<=.f64 b #s(literal -1303703024854071/8148143905337944345073782753637512644205873574663745002544561797417525199053346824733589504 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b #s(literal 7060839510393891/10086913586276986678343434265636765134100413253239154346994763111486904773503285916522052161250538404046496765518544896 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (neg.f64 (/.f64 c b))))
(if (<=.f64 b #s(literal -1303703024854071/8148143905337944345073782753637512644205873574663745002544561797417525199053346824733589504 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b #s(literal 7060839510393891/10086913586276986678343434265636765134100413253239154346994763111486904773503285916522052161250538404046496765518544896 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (-.f64 #s(literal 0 binary64) (/.f64 c b))))
(if (<=.f64 b #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (neg.f64 (/.f64 c b)))
(if (<=.f64 b #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (-.f64 #s(literal 0 binary64) (/.f64 c b)))
(if (<=.f64 b #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (/.f64 b (-.f64 #s(literal 0 binary64) a)) (neg.f64 (/.f64 c b)))
(if (<=.f64 b #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) b) a) (-.f64 #s(literal 0 binary64) (/.f64 c b)))
(neg.f64 (/.f64 c b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(/.f64 c b)
(/.f64 b a)

soundness878.0ms (7.7%)

Memory
22.3MiB live, 777.7MiB allocated
Rules
11 458×accelerator-lowering-fma.f32
11 458×accelerator-lowering-fma.f64
9 936×accelerator-lowering-fma.f32
9 936×accelerator-lowering-fma.f64
8 500×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010188092
133517880
090407567
01449
16747
252747
3685847
0815243
012088970
140008726
080998405
05453249
117383208
260793180
082443023
034188
1193186
21748180
08505169
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
Compiler

Compiled 420 to 233 computations (44.5% saved)

preprocess54.0ms (0.5%)

Memory
15.4MiB live, 130.6MiB allocated
Compiler

Compiled 392 to 158 computations (59.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...