Quadratic roots, full range

Time bar (total: 12.1s)

analyze206.0ms (1.7%)

Memory
-9.7MiB live, 224.6MiB 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)

sample2.1s (17.5%)

Memory
-84.1MiB live, 3 033.3MiB allocated
Samples
869.0ms5 559×0valid
256.0ms1 165×2valid
240.0ms1 302×1valid
116.0ms961×0invalid
69.0ms169×3valid
19.0ms61×4valid
3.0ms6×5exit
Precisions
Click to see histograms. Total time spent on operations: 1.2s
ival-sqrt: 411.0ms (34.7% of total)
ival-mult: 367.0ms (31% of total)
ival-sub: 101.0ms (8.5% of total)
ival-div: 98.0ms (8.3% of total)
ival-add: 69.0ms (5.8% of total)
ival-neg: 68.0ms (5.7% of total)
adjust: 51.0ms (4.3% of total)
exact: 10.0ms (0.8% of total)
ival-true: 7.0ms (0.6% of total)
ival-assert: 4.0ms (0.3% of total)
Bogosity

preprocess171.0ms (1.4%)

Memory
22.8MiB live, 143.2MiB 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 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) 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))

explain218.0ms (1.8%)

Memory
-40.8MiB live, 396.1MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1100-1(-9.428454539195115e-217 -3.894601925586503e-158 -2.056191814811865e-136)(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))
570-0-(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))
160-1(7.236299830849641e-169 1.1783240839506654e+160 15816786079021378.0)(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))
50-0-(-.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-rescue1030
↳(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))overflow103
↳(*.f64 (*.f64 #s(literal 4 binary64) a) c)overflow25
↳(*.f64 b b)overflow92
+.f64(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))cancellation570
/.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/n150
↳(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))underflow6
↳(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))underflow24
↳(*.f64 (*.f64 #s(literal 4 binary64) a) c)underflow27
↳(*.f64 b b)underflow41
sqrt.f64(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))uflow-rescue60
↳(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))underflow6
↳(*.f64 (*.f64 #s(literal 4 binary64) a) c)underflow27
↳(*.f64 b b)underflow41
-.f64(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))nan-rescue50
↳(*.f64 b b)overflow92
↳(*.f64 (*.f64 #s(literal 4 binary64) a) c)overflow25
Confusion
Predicted +Predicted -
+1301
-14111
Precision
0.9027777777777778
Recall
0.9923664122137404
Confusion?
Predicted +Predicted MaybePredicted -
+13001
-140111
Precision?
0.9027777777777778
Recall?
0.9923664122137404
Freqs
test
numberfreq
0112
1105
236
33
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
42.0ms352×0valid
33.0ms80×2valid
11.0ms64×1valid
4.0ms12×3valid
2.0ms4×4valid
Compiler

Compiled 184 to 60 computations (67.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 57.0ms
ival-neg: 17.0ms (29.7% of total)
ival-mult: 15.0ms (26.2% of total)
ival-sqrt: 7.0ms (12.2% of total)
ival-div: 5.0ms (8.7% of total)
ival-sub: 4.0ms (7% of total)
ival-add: 4.0ms (7% of total)
adjust: 3.0ms (5.2% of total)
exact: 1.0ms (1.7% 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
1.3MiB live, 1.3MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶51.2%
(/.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)

simplify96.0ms (0.8%)

Memory
9.1MiB live, 90.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(neg.f64 b)
✓cost-diff0
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))
✓cost-diff128
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))
✓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 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b) (*.f64 a #s(literal 2 binary64)))
(+ (neg b) (sqrt (- (* b b) (* (* 4 a) c))))
(-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b)
(neg b)
(neg.f64 b)
b
(sqrt (- (* b b) (* (* 4 a) c)))
(sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))
(- (* b b) (* (* 4 a) c))
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))
(* 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)

localize52.0ms (0.4%)

Memory
-7.1MiB live, 109.2MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy98.4%
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))
✓accuracy94.5%
(/.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))
✓accuracy79.2%
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))
✓accuracy60.1%
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))
Samples
17.0ms176×0valid
9.0ms40×2valid
6.0ms32×1valid
2.0ms6×3valid
1.0ms2×4valid
Compiler

Compiled 72 to 16 computations (77.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-mult: 7.0ms (33.1% of total)
ival-div: 3.0ms (14.2% of total)
ival-sqrt: 3.0ms (14.2% of total)
ival-sub: 2.0ms (9.5% of total)
ival-neg: 2.0ms (9.5% of total)
ival-add: 2.0ms (9.5% of total)
adjust: 1.0ms (4.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series23.0ms (0.2%)

Memory
11.1MiB live, 53.0MiB allocated
Counts
5 → 156
Calls
Call 1
Inputs
#<alt (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c))))>
#<alt (- (* b b) (* (* 4 a) c))>
#<alt (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))>
#<alt (neg b)>
#<alt (sqrt (- (* b b) (* (* 4 a) c)))>
Outputs
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (* -2 (/ (* a c) b))>
#<alt (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)>
#<alt (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)>
#<alt (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)>
#<alt (* -2 b)>
#<alt (* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))>
#<alt (* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))>
#<alt (* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))>
#<alt (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))>
#<alt (* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a)))>
#<alt (* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a)))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))>
#<alt (* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))>
#<alt (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))>
#<alt (* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))>
#<alt (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c)))>
#<alt (* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c)))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))>
#<alt (* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -4 (* a c))>
#<alt (- (pow b 2) (* 4 (* a c)))>
#<alt (- (pow b 2) (* 4 (* a c)))>
#<alt (- (pow b 2) (* 4 (* a c)))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (pow b 2)>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (* -4 (* a c))>
#<alt (* a (- (/ (pow b 2) a) (* 4 c)))>
#<alt (* a (- (/ (pow b 2) a) (* 4 c)))>
#<alt (* a (- (/ (pow b 2) a) (* 4 c)))>
#<alt (* -4 (* a c))>
#<alt (* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))>
#<alt (* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))>
#<alt (* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))>
#<alt (pow b 2)>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (* -4 (* a c))>
#<alt (* c (- (/ (pow b 2) c) (* 4 a)))>
#<alt (* c (- (/ (pow b 2) c) (* 4 a)))>
#<alt (* c (- (/ (pow b 2) c) (* 4 a)))>
#<alt (* -4 (* a c))>
#<alt (* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))>
#<alt (* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))>
#<alt (* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))>
#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))>
#<alt (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))>
#<alt (* -1 (/ c b))>
#<alt (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)>
#<alt (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)>
#<alt (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)>
#<alt (* -1 (/ b a))>
#<alt (* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))>
#<alt (* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))>
#<alt (* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))>
#<alt (* -1 (/ c b))>
#<alt (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))>
#<alt (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))>
#<alt (+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))>
#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))>
#<alt (+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))>
#<alt (* -1 (/ c b))>
#<alt (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))>
#<alt (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))>
#<alt (* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))>
#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))>
#<alt (* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))>
#<alt (* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))>
#<alt (+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))>
#<alt b>
#<alt (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))>
#<alt (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))>
#<alt (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))>
#<alt (* -1 b)>
#<alt (* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))>
#<alt (* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))>
#<alt (* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))>
#<alt b>
#<alt (+ b (* -2 (/ (* a c) b)))>
#<alt (+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))>
#<alt (+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))>
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))>
#<alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))>
#<alt b>
#<alt (+ b (* -2 (/ (* a c) b)))>
#<alt (+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))>
#<alt (+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))>
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))>
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))>
#<alt (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))>
Calls

39 calls:

TimeVariablePointExpression
3.0ms
c
@0
(+ (neg b) (sqrt (- (* b b) (* (* 4 a) c))))
1.0ms
b
@inf
(/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))
1.0ms
c
@inf
(sqrt (- (* b b) (* (* 4 a) c)))
1.0ms
b
@0
(/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))
1.0ms
b
@inf
(+ (neg b) (sqrt (- (* b b) (* (* 4 a) c))))

rewrite487.0ms (4%)

Memory
-5.5MiB live, 510.8MiB 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
01451
16749
252748
3685848
0815244
Stop Event
1×iter limit
1×node limit
Counts
5 → 440
Calls
Call 1
Inputs
(+ (neg b) (sqrt (- (* b b) (* (* 4 a) c))))
(- (* b b) (* (* 4 a) c))
(/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))
(neg b)
(sqrt (- (* b b) (* (* 4 a) c)))
Outputs
(+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))
(+.f64 b (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))))
(+.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) b)
(+.f64 #s(literal 0 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
(+.f64 (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (neg.f64 (/.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))))
(+.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) #s(literal 0 binary64)) b)
(+.f64 (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) b)
(-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) b)
(-.f64 #s(literal 0 binary64) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
(-.f64 (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (/.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))))
(-.f64 (/.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))))
(-.f64 (-.f64 (sqrt.f64 (fma.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 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))
(fma.f64 b #s(literal 1 binary64) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))))
(fma.f64 b #s(literal -1 binary64) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))
(fma.f64 b #s(literal -1 binary64) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))))
(fma.f64 b (/.f64 b (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (neg.f64 (/.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (-.f64 b (sqrt.f64 (fma.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 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (neg.f64 (/.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))))
(fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))
(fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) b) (neg.f64 (neg.f64 (sqrt.f64 (fma.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 (fma.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 (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))))
(fma.f64 #s(literal 1 binary64) b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))
(fma.f64 #s(literal 1 binary64) b (neg.f64 (neg.f64 (sqrt.f64 (fma.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 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (neg.f64 (/.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))))
(fma.f64 #s(literal -1 binary64) b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))
(fma.f64 #s(literal -1 binary64) b (neg.f64 (neg.f64 (sqrt.f64 (fma.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 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (neg.f64 (/.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -64 binary64) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (*.f64 #s(literal 16 binary64) (*.f64 a (*.f64 c (*.f64 a c)))))) #s(literal 1/2 binary64)) b)
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -64 binary64) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (*.f64 #s(literal 16 binary64) (*.f64 a (*.f64 c (*.f64 a c))))))) b)
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -64 binary64) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (*.f64 b b) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (*.f64 #s(literal 16 binary64) (*.f64 a (*.f64 c (*.f64 a c))))))) b)
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) a) c (*.f64 b b))) #s(literal 1/2 binary64)) b)
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) a) c (*.f64 b b)))) b)
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) a) c (*.f64 b b)))) b)
(fma.f64 (pow.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal 1/4 binary64)) b)
(fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (sqrt.f64 (sqrt.f64 (fma.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 (fma.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 (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))))
(fma.f64 (/.f64 (*.f64 b b) (fma.f64 b b (fma.f64 (*.f64 #s(literal 4 binary64) a) c (*.f64 b b)))) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (neg.f64 (/.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))))
(fma.f64 (/.f64 (*.f64 b b) (fma.f64 b (*.f64 b b) (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) a) c (*.f64 b b)) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (neg.f64 (/.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))))
(neg.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
(/.f64 (fma.f64 b (*.f64 b b) (*.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))
(/.f64 (fma.f64 b (*.f64 b b) (*.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (neg.f64 (neg.f64 (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (fma.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 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))))
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(*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) a) #s(literal 1/2 binary64))
(*.f64 (pow.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) (fma.f64 b (*.f64 b b) (*.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
(*.f64 (pow.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) (fma.f64 b b (fma.f64 (*.f64 #s(literal 4 binary64) a) c (*.f64 b b)))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))))
(*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (neg.f64 a)))
(*.f64 (/.f64 (fma.f64 b (*.f64 b b) (*.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) a) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) #s(literal 2 binary64)))
(*.f64 (/.f64 (fma.f64 b (*.f64 b b) (*.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) a))
(*.f64 (/.f64 (fma.f64 b b (fma.f64 (*.f64 #s(literal 4 binary64) a) c (*.f64 b b))) a) (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) #s(literal 2 binary64)))
(*.f64 (/.f64 (fma.f64 b b (fma.f64 (*.f64 #s(literal 4 binary64) a) c (*.f64 b b))) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) a))
(*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal 2 binary64))) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
(*.f64 (pow.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (/.f64 #s(literal -1/2 binary64) a))
(*.f64 (/.f64 (/.f64 (fma.f64 b (*.f64 b b) (*.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (*.f64 a #s(literal 2 binary64))) (fma.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (*.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (fma.f64 b b (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))))) (fma.f64 b (*.f64 b (*.f64 b b)) (fma.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (fma.f64 b b (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 (*.f64 b b) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))))))))
(*.f64 (/.f64 (/.f64 (fma.f64 b (*.f64 b b) (*.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (*.f64 a #s(literal 2 binary64))) (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (fma.f64 b b (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (neg.f64 (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
(*.f64 (/.f64 (/.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 #s(literal 4 binary64) a) c (*.f64 b b))) #s(literal 1/2 binary64)) a) (fma.f64 b b (fma.f64 (*.f64 #s(literal 4 binary64) a) c (*.f64 b b)))) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
(*.f64 (/.f64 (/.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 #s(literal 4 binary64) a) c (*.f64 b b))) #s(literal 1/2 binary64)) a) (fma.f64 b (*.f64 b b) (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) a) c (*.f64 b b)) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))
b
(+.f64 b #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) b)
(exp.f64 (*.f64 (log.f64 b) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) b)
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 b b)) b)
(-.f64 (/.f64 #s(literal 0 binary64) b) b)
(fma.f64 b #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 b #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) b) #s(literal 0 binary64))
(fma.f64 (*.f64 b (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 b b)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) b #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) b #s(literal 0 binary64))
(fma.f64 (pow.f64 b #s(literal 1/2 binary64)) (pow.f64 b #s(literal 1/2 binary64)) #s(literal 0 binary64))
(neg.f64 b)
(/.f64 (*.f64 b b) b)
(/.f64 (*.f64 b (*.f64 b b)) (*.f64 b b))
(/.f64 (*.f64 b (*.f64 b b)) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 b b) #s(literal 0 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))
(/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 b b)))
(pow.f64 b #s(literal 1 binary64))
(*.f64 b #s(literal 1 binary64))
(*.f64 b #s(literal -1 binary64))
(*.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) b))
(*.f64 (*.f64 b (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 b b)))
(*.f64 #s(literal 1 binary64) b)
(*.f64 #s(literal -1 binary64) b)
(*.f64 (pow.f64 b #s(literal 1/2 binary64)) (pow.f64 b #s(literal 1/2 binary64)))
(+.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
(fabs.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))
(sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -64 binary64) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (*.f64 #s(literal 16 binary64) (*.f64 a (*.f64 c (*.f64 a c)))))) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -64 binary64) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (*.f64 #s(literal 16 binary64) (*.f64 a (*.f64 c (*.f64 a c))))))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -64 binary64) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (*.f64 b b) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (*.f64 #s(literal 16 binary64) (*.f64 a (*.f64 c (*.f64 a c))))))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) a) c (*.f64 b b))) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) a) c (*.f64 b b)))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) a) c (*.f64 b b)))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (sqrt.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) #s(literal 0 binary64))
(/.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (*.f64 b b) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (*.f64 #s(literal 16 binary64) (*.f64 a (*.f64 c (*.f64 a c)))))) (sqrt.f64 (fma.f64 #s(literal -64 binary64) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) a) c (*.f64 b b))) (sqrt.f64 (fma.f64 #s(literal -16 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b)))))))
(/.f64 (sqrt.f64 (fma.f64 #s(literal -64 binary64) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))))) (sqrt.f64 (fma.f64 (*.f64 b b) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (*.f64 #s(literal 16 binary64) (*.f64 a (*.f64 c (*.f64 a c)))))))
(/.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) a) c (*.f64 b b))))
(/.f64 (sqrt.f64 (fma.f64 b (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b b)) (*.f64 #s(literal 64 binary64) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c))))))) (sqrt.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (fma.f64 (*.f64 #s(literal 4 binary64) a) c (*.f64 b b))))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -64 binary64) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b)))))))) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 b b) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (*.f64 #s(literal 16 binary64) (*.f64 a (*.f64 c (*.f64 a c))))))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b)))))) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) a) c (*.f64 b b)))))
(/.f64 (fma.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) #s(literal 0 binary64)) (+.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) #s(literal 0 binary64)))))
(/.f64 (-.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal 0 binary64)) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) #s(literal 0 binary64)))
(pow.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) #s(literal 1 binary64))
(pow.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 #s(literal 16 binary64) (*.f64 a (*.f64 c (*.f64 a c))))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(*.f64 (sqrt.f64 (fma.f64 #s(literal -64 binary64) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (*.f64 #s(literal 16 binary64) (*.f64 a (*.f64 c (*.f64 a c)))))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (fma.f64 #s(literal -64 binary64) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (*.f64 #s(literal 16 binary64) (*.f64 a (*.f64 c (*.f64 a c))))))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal -64 binary64) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (*.f64 b b) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (*.f64 #s(literal 16 binary64) (*.f64 a (*.f64 c (*.f64 a c))))))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) a) c (*.f64 b b))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) a) c (*.f64 b b)))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) a) c (*.f64 b b)))))
(*.f64 (pow.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (sqrt.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))

simplify662.0ms (5.5%)

Memory
19.0MiB live, 691.9MiB 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
05453273
117383232
260833204
082433047
Stop Event
1×iter limit
1×node limit
Counts
156 → 156
Calls
Call 1
Inputs
(* (sqrt (* a c)) (sqrt -4))
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(* -2 (/ (* a c) b))
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
(* -2 b)
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -2 (/ (* a c) b))
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -2 (/ (* a c) b))
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c)))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -4 (* a c))
(- (pow b 2) (* 4 (* a c)))
(- (pow b 2) (* 4 (* a c)))
(- (pow b 2) (* 4 (* a c)))
(pow b 2)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(pow b 2)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* -4 (* a c))
(* a (- (/ (pow b 2) a) (* 4 c)))
(* a (- (/ (pow b 2) a) (* 4 c)))
(* a (- (/ (pow b 2) a) (* 4 c)))
(* -4 (* a c))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* -4 (* a c))
(* c (- (/ (pow b 2) c) (* 4 a)))
(* c (- (/ (pow b 2) c) (* 4 a)))
(* c (- (/ (pow b 2) c) (* 4 a)))
(* -4 (* a c))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))
(* -1 (/ c b))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* (sqrt (* a c)) (sqrt -4))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))
b
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 b)
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
Outputs
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) (neg.f64 b))
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(fma.f64 b (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 (/.f64 b (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))))
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(fma.f64 b (fma.f64 b (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c))))))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1/32 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -4 binary64))))) #s(literal -1 binary64)) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))))
(* -2 (/ (* a c) b))
(*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b))
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 a c))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c))))) (*.f64 (*.f64 b b) (*.f64 b b))) (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 a c)))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
(/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c))))) (*.f64 (*.f64 b b) (*.f64 b b))) (fma.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 a c)) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (/.f64 #s(literal 20 binary64) (pow.f64 b #s(literal 6 binary64))))))) b)
(* -2 b)
(*.f64 b #s(literal -2 binary64))
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(*.f64 b (neg.f64 (fma.f64 (*.f64 a c) (/.f64 #s(literal -2 binary64) (*.f64 b b)) #s(literal 2 binary64))))
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(*.f64 (fma.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 c (*.f64 b b)) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 (*.f64 b b) (*.f64 b b)))) #s(literal 2 binary64)) (neg.f64 b))
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(*.f64 b (neg.f64 (fma.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 c (*.f64 b b)) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 (*.f64 b b) (*.f64 b b)))) (fma.f64 #s(literal -4 binary64) (*.f64 (*.f64 a (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 6 binary64)))) #s(literal 2 binary64)))))
(* -2 (/ (* a c) b))
(*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b))
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))
(*.f64 (*.f64 a #s(literal -2 binary64)) (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))) (/.f64 c b)))
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))
(*.f64 a (fma.f64 a (fma.f64 (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) (*.f64 a #s(literal -4 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b)))) (*.f64 #s(literal -2 binary64) (/.f64 c b))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))
(*.f64 a (fma.f64 a (fma.f64 a (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 a b)) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b)))) (*.f64 #s(literal -2 binary64) (/.f64 c b))))
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(*.f64 a (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b (neg.f64 a))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a)))
(*.f64 a (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 b b) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a)))))) (sqrt.f64 #s(literal -4 binary64))) (/.f64 b (neg.f64 a)))))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a)))
(*.f64 a (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (pow.f64 a #s(literal 5 binary64)))))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/32 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 b b) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a)))))) (sqrt.f64 #s(literal -4 binary64))) (/.f64 b (neg.f64 a))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (sqrt.f64 (*.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -2 binary64)))
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (/.f64 b a)) (neg.f64 a))
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(*.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/4 binary64)) (neg.f64 b)) a)) (neg.f64 a))
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b
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b
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(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
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(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(*.f64 a (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 b #s(literal 6 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 7 binary64)))))) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (pow.f64 a #s(literal 5 binary64)))))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/32 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b b) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))))) (sqrt.f64 #s(literal -4 binary64)))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (sqrt.f64 (*.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -2 binary64)))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (neg.f64 a))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (pow.f64 a #s(literal 5 binary64))))) (*.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/64 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/4 binary64))))) (neg.f64 a))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (pow.f64 a #s(literal 5 binary64))))) (*.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/64 binary64)) (fma.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 7 binary64))))) (*.f64 (*.f64 (pow.f64 b #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/512 binary64)))))) (neg.f64 a))
b
(+ b (* -2 (/ (* a c) b)))
(fma.f64 a (*.f64 #s(literal -2 binary64) (/.f64 c b)) b)
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(fma.f64 (*.f64 c #s(literal -2 binary64)) (fma.f64 a (/.f64 (*.f64 a c) (*.f64 b (*.f64 b b))) (/.f64 a b)) b)
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(fma.f64 c (fma.f64 c (fma.f64 (/.f64 (*.f64 a (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))) (*.f64 c #s(literal -4 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -2 binary64)) b)) b)
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(*.f64 c (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(*.f64 c (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c)) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64)))))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/32 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/2 binary64))))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(*.f64 c (fma.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 7 binary64)))))) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c)) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64)))))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/32 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/2 binary64)))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
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(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(*.f64 (neg.f64 c) (fma.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/4 binary64)))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(neg.f64 (*.f64 c (fma.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (fma.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64))))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/4 binary64)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
(neg.f64 (*.f64 c (fma.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64))))))) (fma.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 7 binary64))))) (*.f64 (*.f64 (pow.f64 b #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/512 binary64))))))))

eval135.0ms (1.1%)

Memory
-9.0MiB live, 136.5MiB allocated
Compiler

Compiled 22 355 to 2 082 computations (90.7% saved)

prune109.0ms (0.9%)

Memory
-10.5MiB live, 240.7MiB allocated
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New58313596
Fresh000
Picked101
Done000
Total58413597
Accuracy
93.8%
Counts
597 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
37.3%
(fma.f64 b (/.f64 c (*.f64 b b)) (/.f64 b (neg.f64 a)))
23.5%
(/.f64 (fma.f64 b b (fma.f64 (*.f64 #s(literal 4 binary64) a) c (*.f64 b b))) (*.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))))
44.3%
(/.f64 (+.f64 (neg.f64 b) (/.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a))
▶36.3%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 (*.f64 b b) (fma.f64 (*.f64 a c) (/.f64 #s(literal -4 binary64) (*.f64 b b)) #s(literal 1 binary64))))) (*.f64 #s(literal 2 binary64) a))
33.7%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))
▶24.8%
(/.f64 (*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b)) (*.f64 #s(literal 2 binary64) a))
33.7%
(/.f64 c (neg.f64 b))
▶38.0%
(/.f64 b (neg.f64 a))
▶32.6%
(/.f64 #s(literal 1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))))
32.6%
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) a))
50.6%
(-.f64 (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal 2 binary64))) (/.f64 b (*.f64 a #s(literal 2 binary64))))
▶51.2%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
27.7%
(neg.f64 (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) b))
Compiler

Compiled 470 to 296 computations (37% saved)

simplify190.0ms (1.6%)

Memory
1.4MiB live, 357.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(neg.f64 b)
✓cost-diff0
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 (*.f64 b b) (fma.f64 (*.f64 a c) (/.f64 #s(literal -4 binary64) (*.f64 b b)) #s(literal 1 binary64))))) (*.f64 #s(literal 2 binary64) a))
✓cost-diff128
(+.f64 (neg.f64 b) (sqrt.f64 (*.f64 (*.f64 b b) (fma.f64 (*.f64 a c) (/.f64 #s(literal -4 binary64) (*.f64 b b)) #s(literal 1 binary64)))))
✓cost-diff1344
(*.f64 (*.f64 b b) (fma.f64 (*.f64 a c) (/.f64 #s(literal -4 binary64) (*.f64 b b)) #s(literal 1 binary64)))
✓cost-diff0
(sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))
✓cost-diff0
(+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))
✓cost-diff0
(/.f64 a (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
✓cost-diff384
(/.f64 #s(literal 1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))))
✓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-diff1536
(/.f64 (*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b)) (*.f64 #s(literal 2 binary64) a))
✓cost-diff0
(neg.f64 a)
✓cost-diff0
(/.f64 b (neg.f64 a))
✓cost-diff0
(sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))
✓cost-diff0
(-.f64 b (sqrt.f64 (fma.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 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
Rules
3 642×*-lowering-*.f32
3 642×*-lowering-*.f64
3 154×accelerator-lowering-fma.f32
3 154×accelerator-lowering-fma.f64
2 442×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036273
193271
2251269
3878253
42614252
53545252
64832252
77448252
08007238
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)))
(* c (* a -4))
c
(* a -4)
-4
(/ b (neg a))
b
(neg a)
a
(/ (* c (/ (* a -2) b)) (* 2 a))
(* c (/ (* a -2) b))
c
(/ (* a -2) b)
(* a -2)
a
-2
b
(* 2 a)
2
(/ 1/2 (/ a (+ b (sqrt (+ (* 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)))
(* c (* a -4))
c
(* a -4)
-4
(/ (+ (neg b) (sqrt (* (* b b) (+ (* (* a c) (/ -4 (* b b))) 1)))) (* 2 a))
(+ (neg b) (sqrt (* (* b b) (+ (* (* a c) (/ -4 (* b b))) 1))))
(neg b)
b
(sqrt (* (* b b) (+ (* (* a c) (/ -4 (* b b))) 1)))
(* (* b b) (+ (* (* a c) (/ -4 (* b b))) 1))
(* b b)
(+ (* (* a c) (/ -4 (* b b))) 1)
(* a c)
a
c
(/ -4 (* b b))
-4
1
(* 2 a)
2
Outputs
(* (/ -1/2 a) (- b (sqrt (+ (* b b) (* c (* a -4))))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) 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 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))
b
(sqrt (+ (* b b) (* c (* a -4))))
(sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))
(+ (* b b) (* c (* a -4)))
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.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)
(/ b (neg a))
(/.f64 b (neg.f64 a))
b
(neg a)
(neg.f64 a)
a
(/ (* c (/ (* a -2) b)) (* 2 a))
(/.f64 c (neg.f64 b))
(* c (/ (* a -2) b))
(*.f64 a (*.f64 #s(literal -2 binary64) (/.f64 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)
(/ 1/2 (/ a (+ b (sqrt (+ (* b b) (* c (* a -4)))))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) a)
1/2
#s(literal 1/2 binary64)
(/ a (+ b (sqrt (+ (* b b) (* c (* a -4))))))
(/.f64 a (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))
a
(+ b (sqrt (+ (* b b) (* c (* a -4)))))
(+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))
b
(sqrt (+ (* b b) (* c (* a -4))))
(sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))
(+ (* b b) (* c (* a -4)))
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.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)
(/ (+ (neg b) (sqrt (* (* b b) (+ (* (* a c) (/ -4 (* b b))) 1)))) (* 2 a))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b) (*.f64 a #s(literal 2 binary64)))
(+ (neg b) (sqrt (* (* b b) (+ (* (* a c) (/ -4 (* b b))) 1))))
(-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b)
(neg b)
(neg.f64 b)
b
(sqrt (* (* b b) (+ (* (* a c) (/ -4 (* b b))) 1)))
(sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))
(* (* b b) (+ (* (* a c) (/ -4 (* b b))) 1))
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))
(* b b)
(*.f64 b b)
(+ (* (* a c) (/ -4 (* b b))) 1)
(fma.f64 c (*.f64 #s(literal -4 binary64) (/.f64 a (*.f64 b b))) #s(literal 1 binary64))
(* a c)
(*.f64 a c)
a
c
(/ -4 (* b b))
(/.f64 #s(literal -4 binary64) (*.f64 b b))
-4
#s(literal -4 binary64)
1
#s(literal 1 binary64)
(* 2 a)
(*.f64 a #s(literal 2 binary64))
2
#s(literal 2 binary64)

localize191.0ms (1.6%)

Memory
-8.5MiB live, 362.8MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy88.4%
(fma.f64 (*.f64 a c) (/.f64 #s(literal -4 binary64) (*.f64 b b)) #s(literal 1 binary64))
✓accuracy84.7%
(*.f64 (*.f64 b b) (fma.f64 (*.f64 a c) (/.f64 #s(literal -4 binary64) (*.f64 b b)) #s(literal 1 binary64)))
✓accuracy79.2%
(+.f64 (neg.f64 b) (sqrt.f64 (*.f64 (*.f64 b b) (fma.f64 (*.f64 a c) (/.f64 #s(literal -4 binary64) (*.f64 b b)) #s(literal 1 binary64)))))
✓accuracy60.1%
(sqrt.f64 (*.f64 (*.f64 b b) (fma.f64 (*.f64 a c) (/.f64 #s(literal -4 binary64) (*.f64 b b)) #s(literal 1 binary64))))
✓accuracy98.0%
(fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))
✓accuracy96.6%
(/.f64 a (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
✓accuracy74.8%
(+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))
✓accuracy60.1%
(sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))
✓accuracy100.0%
(*.f64 a #s(literal -2 binary64))
✓accuracy100.0%
(*.f64 #s(literal 2 binary64) a)
✓accuracy91.8%
(*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b))
✓accuracy86.6%
(/.f64 (*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b)) (*.f64 #s(literal 2 binary64) a))
✓accuracy100.0%
(/.f64 b (neg.f64 a))
✓accuracy100.0%
(neg.f64 a)
✓accuracy98.0%
(fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))
✓accuracy94.3%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
✓accuracy79.2%
(-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))
✓accuracy60.1%
(sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))
Samples
48.0ms65×2valid
36.0ms47×3valid
21.0ms85×0valid
21.0ms52×1valid
9.0ms7×4valid
Compiler

Compiled 273 to 38 computations (86.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 94.0ms
ival-mult: 24.0ms (25.6% of total)
ival-div: 22.0ms (23.5% of total)
ival-sqrt: 20.0ms (21.3% of total)
ival-add: 12.0ms (12.8% of total)
adjust: 9.0ms (9.6% of total)
ival-neg: 3.0ms (3.2% of total)
ival-sub: 3.0ms (3.2% of total)
exact: 1.0ms (1.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series64.0ms (0.5%)

Memory
3.0MiB live, 122.8MiB allocated
Counts
21 → 612
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 (/ b (neg a))>
#<alt (neg a)>
#<alt (/ (* c (/ (* a -2) b)) (* 2 a))>
#<alt (* c (/ (* a -2) b))>
#<alt (/ (* a -2) b)>
#<alt (* a -2)>
#<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) (+ (* (* a c) (/ -4 (* b b))) 1))>
#<alt (+ (neg b) (sqrt (* (* b b) (+ (* (* a c) (/ -4 (* b b))) 1))))>
#<alt (/ (+ (neg b) (sqrt (* (* b b) (+ (* (* a c) (/ -4 (* b b))) 1)))) (* 2 a))>
#<alt (neg b)>
#<alt (+ (* b b) (* c (* a -4)))>
#<alt (* 2 a)>
#<alt (sqrt (* (* b b) (+ (* (* a c) (/ -4 (* b b))) 1)))>
#<alt (+ (* (* a c) (/ -4 (* b b))) 1)>
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))))>
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#<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 1>
#<alt (+ 1 (* -4 (/ (* a c) (pow b 2))))>
#<alt (+ 1 (* -4 (/ (* a c) (pow b 2))))>
#<alt (+ 1 (* -4 (/ (* a c) (pow b 2))))>
#<alt (* -4 (/ (* a c) (pow b 2)))>
#<alt (* a (+ (* -4 (/ c (pow b 2))) (/ 1 a)))>
#<alt (* a (+ (* -4 (/ c (pow b 2))) (/ 1 a)))>
#<alt (* a (+ (* -4 (/ c (pow b 2))) (/ 1 a)))>
#<alt (* -4 (/ (* a c) (pow b 2)))>
#<alt (* -1 (* a (- (* 4 (/ c (pow b 2))) (/ 1 a))))>
#<alt (* -1 (* a (- (* 4 (/ c (pow b 2))) (/ 1 a))))>
#<alt (* -1 (* a (- (* 4 (/ c (pow b 2))) (/ 1 a))))>
#<alt 1>
#<alt (+ 1 (* -4 (/ (* a c) (pow b 2))))>
#<alt (+ 1 (* -4 (/ (* a c) (pow b 2))))>
#<alt (+ 1 (* -4 (/ (* a c) (pow b 2))))>
#<alt (* -4 (/ (* a c) (pow b 2)))>
#<alt (* c (+ (* -4 (/ a (pow b 2))) (/ 1 c)))>
#<alt (* c (+ (* -4 (/ a (pow b 2))) (/ 1 c)))>
#<alt (* c (+ (* -4 (/ a (pow b 2))) (/ 1 c)))>
#<alt (* -4 (/ (* a c) (pow b 2)))>
#<alt (* -1 (* c (- (* 4 (/ a (pow b 2))) (/ 1 c))))>
#<alt (* -1 (* c (- (* 4 (/ a (pow b 2))) (/ 1 c))))>
#<alt (* -1 (* c (- (* 4 (/ a (pow b 2))) (/ 1 c))))>
#<alt (* -4 (/ (* a c) (pow b 2)))>
#<alt (/ (+ (* -4 (* a c)) (pow b 2)) (pow b 2))>
#<alt (/ (+ (* -4 (* a c)) (pow b 2)) (pow b 2))>
#<alt (/ (+ (* -4 (* a c)) (pow b 2)) (pow b 2))>
#<alt 1>
#<alt (+ 1 (* -4 (/ (* a c) (pow b 2))))>
#<alt (+ 1 (* -4 (/ (* a c) (pow b 2))))>
#<alt (+ 1 (* -4 (/ (* a c) (pow b 2))))>
#<alt 1>
#<alt (+ 1 (* -4 (/ (* a c) (pow b 2))))>
#<alt (+ 1 (* -4 (/ (* a c) (pow b 2))))>
#<alt (+ 1 (* -4 (/ (* a c) (pow b 2))))>
Calls

153 calls:

TimeVariablePointExpression
7.0ms
c
@0
(/ a (+ b (sqrt (+ (* b b) (* c (* a -4))))))
4.0ms
c
@inf
(/ a (+ b (sqrt (+ (* b b) (* c (* a -4))))))
3.0ms
b
@0
(/ b (neg a))
2.0ms
a
@0
(/ -1/2 a)
1.0ms
a
@inf
(/ a (+ b (sqrt (+ (* b b) (* c (* a -4))))))

rewrite397.0ms (3.3%)

Memory
-5.9MiB live, 709.1MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
6 516×accelerator-lowering-fma.f32
6 516×accelerator-lowering-fma.f64
4 332×/-lowering-/.f32
4 332×/-lowering-/.f64
3 866×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036213
1202208
21627203
08284191
Stop Event
1×iter limit
1×node limit
Counts
21 → 923
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))))
(/ b (neg a))
(neg a)
(/ (* c (/ (* a -2) b)) (* 2 a))
(* c (/ (* a -2) b))
(/ (* a -2) b)
(* a -2)
(/ 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) (+ (* (* a c) (/ -4 (* b b))) 1))
(+ (neg b) (sqrt (* (* b b) (+ (* (* a c) (/ -4 (* b b))) 1))))
(/ (+ (neg b) (sqrt (* (* b b) (+ (* (* a c) (/ -4 (* b b))) 1)))) (* 2 a))
(neg b)
(+ (* b b) (* c (* a -4)))
(* 2 a)
(sqrt (* (* b b) (+ (* (* a c) (/ -4 (* b b))) 1)))
(+ (* (* a c) (/ -4 (* b b))) 1)
Outputs
(+.f64 (/.f64 b (*.f64 a #s(literal -2 binary64))) (/.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (*.f64 a #s(literal -2 binary64))))
(+.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) b) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))))
(-.f64 (/.f64 b (*.f64 a #s(literal -2 binary64))) (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 a #s(literal -2 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 b (*.f64 b b)) (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) (*.f64 a #s(literal -2 binary64))) (/.f64 (/.f64 (*.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) (*.f64 a #s(literal -2 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) (*.f64 a #s(literal -2 binary64))) (/.f64 (/.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) (*.f64 a #s(literal -2 binary64))))
(fma.f64 (/.f64 #s(literal -1/2 binary64) a) b (*.f64 (/.f64 #s(literal -1/2 binary64) a) (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))))
(fma.f64 b (/.f64 #s(literal -1/2 binary64) a) (/.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (*.f64 a #s(literal -2 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 b (*.f64 a #s(literal -2 binary64))) (/.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (*.f64 a #s(literal -2 binary64))))
(fma.f64 (neg.f64 b) (/.f64 #s(literal 1/2 binary64) a) (/.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (*.f64 a #s(literal -2 binary64))))
(fma.f64 (/.f64 b (*.f64 a #s(literal -2 binary64))) #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (*.f64 a #s(literal -2 binary64))))
(fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (/.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (*.f64 a #s(literal -2 binary64))))
(fma.f64 (*.f64 b #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) a) (/.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (*.f64 a #s(literal -2 binary64))))
(/.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))))
(/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (*.f64 a #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 #s(literal -1/2 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal -2 binary64)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a (*.f64 #s(literal -1/2 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 a) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 b b) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 b (*.f64 b b)) (*.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 b b) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 a) (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 b (*.f64 b b)) (*.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) (-.f64 (*.f64 b (*.f64 b b)) (*.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) (-.f64 (*.f64 b b) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) a) (*.f64 (-.f64 (*.f64 b (*.f64 b b)) (*.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (neg.f64 a)) (*.f64 (-.f64 (*.f64 b (*.f64 b b)) (*.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (*.f64 a #s(literal -2 binary64))) (-.f64 (*.f64 b (*.f64 b b)) (*.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) a) (*.f64 (-.f64 (*.f64 b b) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (neg.f64 a)) (*.f64 (-.f64 (*.f64 b b) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (*.f64 a #s(literal -2 binary64))) (-.f64 (*.f64 b b) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 (*.f64 b (*.f64 b b)) (*.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 (*.f64 b b) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a) (*.f64 #s(literal 1/2 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (/.f64 (-.f64 (*.f64 b (*.f64 b b)) (*.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) (*.f64 a #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (/.f64 (-.f64 (*.f64 b b) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 a #s(literal -2 binary64)))))
(/.f64 (-.f64 (*.f64 b (*.f64 b b)) (*.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) (*.f64 (*.f64 a #s(literal -2 binary64)) (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))))
(/.f64 (-.f64 (*.f64 b (*.f64 b b)) (*.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) (*.f64 (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (*.f64 a #s(literal -2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 a (*.f64 #s(literal -1/2 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))))))
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(*.f64 (sqrt.f64 (*.f64 (*.f64 b (sqrt.f64 (fma.f64 a (*.f64 c (/.f64 #s(literal -4 binary64) (*.f64 b b))) #s(literal 1 binary64)))) b)) (sqrt.f64 (sqrt.f64 (fma.f64 a (*.f64 c (/.f64 #s(literal -4 binary64) (*.f64 b b))) #s(literal 1 binary64)))))
(+.f64 (*.f64 c (*.f64 a (/.f64 #s(literal -4 binary64) (*.f64 b b)))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (/.f64 #s(literal -4 binary64) (*.f64 b b)))))
(+.f64 (/.f64 (/.f64 (*.f64 (*.f64 #s(literal 16 binary64) (*.f64 a a)) (*.f64 c c)) (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 a (*.f64 c (/.f64 #s(literal -4 binary64) (*.f64 b b))) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 c (/.f64 #s(literal -4 binary64) (*.f64 b b))) #s(literal -1 binary64)))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 #s(literal 16 binary64) (*.f64 a a)) (*.f64 c c)) (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 a (*.f64 c (/.f64 #s(literal -4 binary64) (*.f64 b b))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 c (/.f64 #s(literal -4 binary64) (*.f64 b b))) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (/.f64 #s(literal -4 binary64) (*.f64 b b)))))) (/.f64 (/.f64 (*.f64 (*.f64 #s(literal 16 binary64) (*.f64 a a)) (*.f64 c c)) (*.f64 b (*.f64 b (*.f64 b b)))) (-.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (/.f64 #s(literal -4 binary64) (*.f64 b b)))))))
(sqrt.f64 (*.f64 (fma.f64 a (*.f64 c (/.f64 #s(literal -4 binary64) (*.f64 b b))) #s(literal 1 binary64)) (fma.f64 a (*.f64 c (/.f64 #s(literal -4 binary64) (*.f64 b b))) #s(literal 1 binary64))))
(fma.f64 a (*.f64 c (/.f64 #s(literal -4 binary64) (*.f64 b b))) #s(literal 1 binary64))
(fma.f64 c (*.f64 a (/.f64 #s(literal -4 binary64) (*.f64 b b))) #s(literal 1 binary64))
(fma.f64 c (/.f64 (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) #s(literal 1 binary64))
(fma.f64 #s(literal -4 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (*.f64 a c)) #s(literal 1 binary64))
(fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64))
(fma.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 b b)) #s(literal 1 binary64))
(fma.f64 (*.f64 a c) (/.f64 #s(literal -4 binary64) (*.f64 b b)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal -4 binary64) (*.f64 b b)) (*.f64 a c) #s(literal 1 binary64))
(fma.f64 (*.f64 c (*.f64 a (/.f64 #s(literal -4 binary64) (*.f64 b b)))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (/.f64 #s(literal -4 binary64) (*.f64 b b)))) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 (*.f64 #s(literal 16 binary64) (*.f64 a a)) (*.f64 c c)) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 c (/.f64 #s(literal -4 binary64) (*.f64 b b))) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 c (/.f64 #s(literal -4 binary64) (*.f64 b b))) #s(literal -1 binary64)))))
(fma.f64 (*.f64 c (/.f64 #s(literal -4 binary64) (*.f64 b b))) a #s(literal 1 binary64))
(fma.f64 (neg.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 b b)) #s(literal 1 binary64))
(fma.f64 (/.f64 c b) (/.f64 (*.f64 a #s(literal -4 binary64)) b) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 a #s(literal -4 binary64)) b) (/.f64 c b) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 a c) b) (/.f64 #s(literal -4 binary64) b) #s(literal 1 binary64))
(fma.f64 (*.f64 (/.f64 #s(literal -4 binary64) (*.f64 b b)) a) c #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 a c) #s(literal 4 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 b b)) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 a c) (*.f64 b #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) b) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 a c)) (/.f64 #s(literal -1 binary64) (*.f64 b b)) #s(literal 1 binary64))
(fma.f64 (*.f64 (/.f64 #s(literal -4 binary64) b) (*.f64 a c)) (/.f64 #s(literal 1 binary64) b) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) b) (/.f64 #s(literal 1 binary64) b) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 c (/.f64 #s(literal -4 binary64) (*.f64 b b))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 c (/.f64 #s(literal -4 binary64) (*.f64 b b))) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 c (*.f64 a (/.f64 #s(literal -4 binary64) (*.f64 b b)))) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b b))) (fma.f64 (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) (*.f64 a c))) (/.f64 #s(literal -64 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (/.f64 #s(literal -4 binary64) (*.f64 b b))))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 16 binary64) (*.f64 a a)) (*.f64 c c)) (*.f64 b (*.f64 b (*.f64 b b)))))))
(/.f64 (fma.f64 (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) (*.f64 a c))) (/.f64 #s(literal -64 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) #s(literal 1 binary64)) (+.f64 (/.f64 (*.f64 (*.f64 #s(literal 16 binary64) (*.f64 a a)) (*.f64 c c)) (*.f64 b (*.f64 b (*.f64 b b)))) (-.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (/.f64 #s(literal -4 binary64) (*.f64 b b)))))))
(/.f64 (fma.f64 (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) (*.f64 a c))) (/.f64 #s(literal -64 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 c (*.f64 a (/.f64 #s(literal -4 binary64) (*.f64 b b)))) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b b))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 c (/.f64 #s(literal -4 binary64) (*.f64 b b))) #s(literal 1 binary64)))))
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 #s(literal 16 binary64) (*.f64 a a)) (*.f64 c c)) (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal -1 binary64)) (fma.f64 a (*.f64 c (/.f64 #s(literal -4 binary64) (*.f64 b b))) #s(literal -1 binary64)))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) (*.f64 a c))) (/.f64 #s(literal -64 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) #s(literal 1 binary64))) (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 #s(literal 16 binary64) (*.f64 a a)) (*.f64 c c)) (*.f64 b (*.f64 b (*.f64 b b)))) (-.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (/.f64 #s(literal -4 binary64) (*.f64 b b))))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) (*.f64 a c))) (/.f64 #s(literal -64 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 c (*.f64 a (/.f64 #s(literal -4 binary64) (*.f64 b b)))) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b b)))))
(/.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 #s(literal 16 binary64) (*.f64 a a)) (*.f64 c c)) (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal -1 binary64))) (neg.f64 (fma.f64 a (*.f64 c (/.f64 #s(literal -4 binary64) (*.f64 b b))) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 16 binary64) (*.f64 a a)) (*.f64 c c)) (*.f64 b (*.f64 b (*.f64 b b))))) (-.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (/.f64 #s(literal -4 binary64) (*.f64 b b))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 16 binary64) (*.f64 a a)) (*.f64 c c)) (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 a (*.f64 c (/.f64 #s(literal -4 binary64) (*.f64 b b))) #s(literal -1 binary64))) (*.f64 (fma.f64 a (*.f64 c (/.f64 #s(literal -4 binary64) (*.f64 b b))) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 a (*.f64 c (/.f64 #s(literal -4 binary64) (*.f64 b b))) #s(literal -1 binary64)) (fma.f64 a (*.f64 c (/.f64 #s(literal -4 binary64) (*.f64 b b))) #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 16 binary64) (*.f64 a a)) (*.f64 c c)) (*.f64 b (*.f64 b (*.f64 b b)))))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (/.f64 #s(literal -4 binary64) (*.f64 b b)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) (*.f64 a c))) (/.f64 #s(literal -64 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 #s(literal 16 binary64) (*.f64 a a)) (*.f64 c c)) (*.f64 b (*.f64 b (*.f64 b b)))) (-.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (/.f64 #s(literal -4 binary64) (*.f64 b b)))))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 #s(literal 16 binary64) (*.f64 a a)) (*.f64 c c)) (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 a (*.f64 c (/.f64 #s(literal -4 binary64) (*.f64 b b))) #s(literal -1 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (*.f64 (*.f64 #s(literal 16 binary64) (*.f64 a a)) (*.f64 c c)) (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 a (*.f64 c (/.f64 #s(literal -4 binary64) (*.f64 b b))) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 c (/.f64 #s(literal -4 binary64) (*.f64 b b))) #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 #s(literal 16 binary64) (*.f64 a a)) (*.f64 c c)) (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 a (*.f64 c (/.f64 #s(literal -4 binary64) (*.f64 b b))) #s(literal -1 binary64))) (/.f64 (/.f64 (*.f64 (*.f64 #s(literal 16 binary64) (*.f64 a a)) (*.f64 c c)) (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 a (*.f64 c (/.f64 #s(literal -4 binary64) (*.f64 b b))) #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 c (/.f64 #s(literal -4 binary64) (*.f64 b b))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 c (/.f64 #s(literal -4 binary64) (*.f64 b b))) #s(literal -1 binary64))) (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 #s(literal 16 binary64) (*.f64 a a)) (*.f64 c c)) (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 a (*.f64 c (/.f64 #s(literal -4 binary64) (*.f64 b b))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 c (/.f64 #s(literal -4 binary64) (*.f64 b b))) #s(literal -1 binary64)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 #s(literal 16 binary64) (*.f64 a a)) (*.f64 c c)) (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 a (*.f64 c (/.f64 #s(literal -4 binary64) (*.f64 b b))) #s(literal -1 binary64))) (/.f64 (/.f64 (*.f64 (*.f64 #s(literal 16 binary64) (*.f64 a a)) (*.f64 c c)) (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 a (*.f64 c (/.f64 #s(literal -4 binary64) (*.f64 b b))) #s(literal -1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 c (/.f64 #s(literal -4 binary64) (*.f64 b b))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 c (/.f64 #s(literal -4 binary64) (*.f64 b b))) #s(literal -1 binary64))))) (+.f64 (/.f64 (/.f64 (*.f64 (*.f64 #s(literal 16 binary64) (*.f64 a a)) (*.f64 c c)) (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 a (*.f64 c (/.f64 #s(literal -4 binary64) (*.f64 b b))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 c (/.f64 #s(literal -4 binary64) (*.f64 b b))) #s(literal -1 binary64)))))
(pow.f64 (fma.f64 a (*.f64 c (/.f64 #s(literal -4 binary64) (*.f64 b b))) #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (fma.f64 a (*.f64 c (/.f64 #s(literal -4 binary64) (*.f64 b b))) #s(literal 1 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 c (/.f64 #s(literal -4 binary64) (*.f64 b b))) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (*.f64 (fma.f64 a (*.f64 c (/.f64 #s(literal -4 binary64) (*.f64 b b))) #s(literal 1 binary64)) (fma.f64 a (*.f64 c (/.f64 #s(literal -4 binary64) (*.f64 b b))) #s(literal 1 binary64))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 c (/.f64 #s(literal -4 binary64) (*.f64 b b))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (fma.f64 a (*.f64 c (/.f64 #s(literal -4 binary64) (*.f64 b b))) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 a (*.f64 c (/.f64 #s(literal -4 binary64) (*.f64 b b))) #s(literal 1 binary64))))
(*.f64 (fma.f64 (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) (*.f64 a c))) (/.f64 #s(literal -64 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (*.f64 #s(literal 16 binary64) (*.f64 a a)) (*.f64 c c)) (*.f64 b (*.f64 b (*.f64 b b)))) (-.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (/.f64 #s(literal -4 binary64) (*.f64 b b))))))))
(*.f64 (fma.f64 (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) (*.f64 a c))) (/.f64 #s(literal -64 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 c (*.f64 a (/.f64 #s(literal -4 binary64) (*.f64 b b)))) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b b)))))
(*.f64 (+.f64 (/.f64 (*.f64 (*.f64 #s(literal 16 binary64) (*.f64 a a)) (*.f64 c c)) (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 c (/.f64 #s(literal -4 binary64) (*.f64 b b))) #s(literal -1 binary64))))
(*.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) (*.f64 a c))) (/.f64 #s(literal -64 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 #s(literal 16 binary64) (*.f64 a a)) (*.f64 c c)) (*.f64 b (*.f64 b (*.f64 b b)))) (-.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (/.f64 #s(literal -4 binary64) (*.f64 b b)))))))))
(*.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 #s(literal 16 binary64) (*.f64 a a)) (*.f64 c c)) (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 a (*.f64 c (/.f64 #s(literal -4 binary64) (*.f64 b b))) #s(literal -1 binary64)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 16 binary64) (*.f64 a a)) (*.f64 c c)) (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (/.f64 #s(literal -4 binary64) (*.f64 b b)))))))

simplify551.0ms (4.5%)

Memory
32.6MiB live, 503.3MiB allocated
Algorithm
1×egg-herbie
Rules
8 150×accelerator-lowering-fma.f32
8 150×accelerator-lowering-fma.f64
6 892×*-lowering-*.f32
6 892×*-lowering-*.f64
5 928×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0109610588
1362410329
084169885
Stop Event
1×iter limit
1×node limit
Counts
612 → 612
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)
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b
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b
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b
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(/ b a)
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(/ b a)
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(- (+ (* -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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(* (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))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* -4 (* a c))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* -4 (* a c))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* -4 (* a c))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* (sqrt (* a c)) (sqrt -4))
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(* -2 (/ (* a c) b))
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
(* -2 b)
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -2 (/ (* a c) b))
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (* a (* b (+ (* 4 (/ (pow c 4) (pow b 8))) (* 16 (/ (pow c 4) (pow b 8)))))))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -2 (/ (* a c) b))
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (* b (* c (+ (* 4 (/ (pow a 4) (pow b 8))) (* 16 (/ (pow a 4) (pow b 8)))))))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c)))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))
(* -1 (/ c b))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (* a (* b (+ (* 4 (/ (pow c 4) (pow b 8))) (* 16 (/ (pow c 4) (pow b 8))))))))))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* b (* c (+ (* 4 (/ (pow a 4) (pow b 8))) (* 16 (/ (pow a 4) (pow b 8)))))) a)))))) (/ 1 b)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -4 (* a c))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(pow b 2)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(pow b 2)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* -4 (* a c))
(* 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)
(* (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))))))))
1
(+ 1 (* -4 (/ (* a c) (pow b 2))))
(+ 1 (* -4 (/ (* a c) (pow b 2))))
(+ 1 (* -4 (/ (* a c) (pow b 2))))
(* -4 (/ (* a c) (pow b 2)))
(* a (+ (* -4 (/ c (pow b 2))) (/ 1 a)))
(* a (+ (* -4 (/ c (pow b 2))) (/ 1 a)))
(* a (+ (* -4 (/ c (pow b 2))) (/ 1 a)))
(* -4 (/ (* a c) (pow b 2)))
(* -1 (* a (- (* 4 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* a (- (* 4 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* a (- (* 4 (/ c (pow b 2))) (/ 1 a))))
1
(+ 1 (* -4 (/ (* a c) (pow b 2))))
(+ 1 (* -4 (/ (* a c) (pow b 2))))
(+ 1 (* -4 (/ (* a c) (pow b 2))))
(* -4 (/ (* a c) (pow b 2)))
(* c (+ (* -4 (/ a (pow b 2))) (/ 1 c)))
(* c (+ (* -4 (/ a (pow b 2))) (/ 1 c)))
(* c (+ (* -4 (/ a (pow b 2))) (/ 1 c)))
(* -4 (/ (* a c) (pow b 2)))
(* -1 (* c (- (* 4 (/ a (pow b 2))) (/ 1 c))))
(* -1 (* c (- (* 4 (/ a (pow b 2))) (/ 1 c))))
(* -1 (* c (- (* 4 (/ a (pow b 2))) (/ 1 c))))
(* -4 (/ (* a c) (pow b 2)))
(/ (+ (* -4 (* a c)) (pow b 2)) (pow b 2))
(/ (+ (* -4 (* a c)) (pow b 2)) (pow b 2))
(/ (+ (* -4 (* a c)) (pow b 2)) (pow b 2))
1
(+ 1 (* -4 (/ (* a c) (pow b 2))))
(+ 1 (* -4 (/ (* a c) (pow b 2))))
(+ 1 (* -4 (/ (* a c) (pow b 2))))
1
(+ 1 (* -4 (/ (* a c) (pow b 2))))
(+ 1 (* -4 (/ (* a c) (pow b 2))))
(+ 1 (* -4 (/ (* a c) (pow b 2))))
Outputs
(* -1 (/ c b))
(/.f64 c (neg.f64 b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(neg.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))) (/.f64 c b)))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(-.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)))))))
(fma.f64 a (fma.f64 a (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 a (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64))) b) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 5 binary64)))) (neg.f64 (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))))) (/.f64 c (neg.f64 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))))
(fma.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)))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (fma.f64 #s(literal 1/4 binary64) (*.f64 (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 (*.f64 b #s(literal -1/2 binary64)) a)))
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (fma.f64 #s(literal -1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (pow.f64 a #s(literal 5 binary64))))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64))))) (fma.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 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(*.f64 (sqrt.f64 (/.f64 c a)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (/.f64 (*.f64 b #s(literal -1/2 binary64)) a))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(neg.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 b #s(literal 1/2 binary64))) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(neg.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c))) (*.f64 #s(literal 1/128 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))))) a)) a)))
(* 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))))
(fma.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 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(fma.f64 b (fma.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (/.f64 b (sqrt.f64 #s(literal -4 binary64)))) (/.f64 #s(literal -1/2 binary64) a)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))
(fma.f64 b (fma.f64 b (fma.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (*.f64 #s(literal -1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (pow.f64 a #s(literal 5 binary64)))))) (/.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))))) (/.f64 #s(literal -1/2 binary64) a)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))))
(* -1 (/ c b))
(/.f64 c (neg.f64 b))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/.f64 (neg.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c)) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a a)) (pow.f64 b #s(literal 4 binary64))) (neg.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a a)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) #s(literal 20 binary64)) (*.f64 a (pow.f64 b #s(literal 6 binary64)))) (neg.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c)))) b)
(* -1 (/ b a))
(/.f64 b (neg.f64 a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b))) (neg.f64 b))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(*.f64 (fma.f64 a (neg.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 4 binary64)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b)))) (neg.f64 b))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(*.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a a)) (pow.f64 b #s(literal 6 binary64))) (fma.f64 a (neg.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 4 binary64)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b))))) (neg.f64 b))
(* -1 (/ c b))
(/.f64 c (neg.f64 b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(*.f64 c (fma.f64 (neg.f64 a) (/.f64 c (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1 binary64) b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(*.f64 c (fma.f64 c (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c (*.f64 a a))) (pow.f64 b #s(literal 5 binary64))) (/.f64 a (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1 binary64) b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(*.f64 c (fma.f64 c (fma.f64 c (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 c (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64))) (*.f64 b a)) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) (neg.f64 (/.f64 a (*.f64 b (*.f64 b b))))) (/.f64 #s(literal -1 binary64) 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))))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(*.f64 c (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (*.f64 #s(literal -1/2 binary64) (/.f64 b (*.f64 c a)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(*.f64 c (fma.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 a a)))))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (*.f64 #s(literal -1/2 binary64) (/.f64 b (*.f64 c a))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(*.f64 c (fma.f64 #s(literal -1/16 binary64) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 5 binary64)))))) (fma.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 a a)))))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (*.f64 #s(literal -1/2 binary64) (/.f64 b (*.f64 c a)))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(*.f64 (sqrt.f64 (/.f64 c a)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (/.f64 (*.f64 b #s(literal 1/2 binary64)) (*.f64 c a))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(*.f64 (neg.f64 c) (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (*.f64 b #s(literal -1/2 binary64)) a)) c)))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(*.f64 (neg.f64 c) (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (/.f64 (-.f64 (/.f64 (*.f64 b #s(literal -1/2 binary64)) a) (/.f64 (fma.f64 #s(literal -1/128 binary64) (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (pow.f64 a #s(literal 5 binary64)))))) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c (*.f64 a (*.f64 a a))))))) c)) c)))
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(*.f64 (sqrt.f64 (*.f64 c a)) (neg.f64 (sqrt.f64 #s(literal -4 binary64))))
(- b (* (sqrt (* a c)) (sqrt -4)))
(-.f64 b (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))))
(- (* b (+ 1 (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4)))
(-.f64 (fma.f64 b (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) b) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))))
(- (* 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)))
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(*.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))
(* (sqrt (* a c)) (sqrt -4))
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(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))
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b
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
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(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
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(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
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b
(+ b (* -2 (/ (* a c) b)))
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(* (sqrt (* a c)) (sqrt -4))
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(* -2 (* (sqrt (* a c)) (sqrt -1)))
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b
(+ b (* -2 (/ (* a c) b)))
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 c a) b) b)
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(fma.f64 c (*.f64 #s(literal -2 binary64) (fma.f64 (*.f64 a a) (/.f64 c (*.f64 b (*.f64 b b))) (/.f64 a b))) b)
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
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(* (sqrt (* a c)) (sqrt -4))
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(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
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(* -2 (* (sqrt (* a c)) (sqrt -1)))
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1
#s(literal 1 binary64)
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#s(literal 1 binary64)
(+ 1 (* -4 (/ (* a c) (pow b 2))))
(fma.f64 #s(literal -4 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal 1 binary64))
(+ 1 (* -4 (/ (* a c) (pow b 2))))
(fma.f64 #s(literal -4 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal 1 binary64))
(+ 1 (* -4 (/ (* a c) (pow b 2))))
(fma.f64 #s(literal -4 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -4 (/ (* a c) (pow b 2))))
(fma.f64 #s(literal -4 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal 1 binary64))
(+ 1 (* -4 (/ (* a c) (pow b 2))))
(fma.f64 #s(literal -4 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal 1 binary64))
(+ 1 (* -4 (/ (* a c) (pow b 2))))
(fma.f64 #s(literal -4 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal 1 binary64))

eval322.0ms (2.6%)

Memory
1.3MiB live, 345.8MiB allocated
Compiler

Compiled 48 163 to 4 644 computations (90.4% saved)

prune211.0ms (1.7%)

Memory
-9.5MiB live, 399.0MiB allocated
Pruning

27 alts after pruning (25 fresh and 2 done)

PrunedKeptTotal
New1 704201 724
Fresh358
Picked325
Done000
Total1 710271 737
Accuracy
94.5%
Counts
1 737 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.6%
(fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (/.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (*.f64 a #s(literal -2 binary64))))
▶37.3%
(fma.f64 b (/.f64 c (*.f64 b b)) (/.f64 b (neg.f64 a)))
13.8%
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 a (*.f64 c (/.f64 #s(literal -4 binary64) (*.f64 b b))) #s(literal 1 binary64))) b (neg.f64 b)) (*.f64 #s(literal 2 binary64) a))
23.5%
(/.f64 (fma.f64 b b (fma.f64 (*.f64 #s(literal 4 binary64) a) c (*.f64 b b))) (*.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))))
25.1%
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a b)) (*.f64 a a))
33.7%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))
▶53.0%
(/.f64 (+.f64 (neg.f64 b) (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 a (*.f64 c (/.f64 #s(literal -4 binary64) (*.f64 b b))) #s(literal 1 binary64)))))) (*.f64 #s(literal 2 binary64) a))
25.2%
(/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) (*.f64 (*.f64 a #s(literal 2 binary64)) b))
28.7%
(/.f64 (neg.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c)) b)
33.7%
(/.f64 c (neg.f64 b))
8.1%
(/.f64 c b)
29.9%
(/.f64 b (*.f64 (neg.f64 (*.f64 a a)) (/.f64 #s(literal 1 binary64) a)))
✓38.0%
(/.f64 b (neg.f64 a))
▶2.3%
(/.f64 b a)
8.2%
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b #s(literal 1/2 binary64)) c))
26.0%
(/.f64 #s(literal 1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))))))
▶2.3%
(/.f64 #s(literal 1/2 binary64) (/.f64 a (+.f64 b b)))
▶32.6%
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) a))
37.9%
(/.f64 #s(literal -1 binary64) (/.f64 a b))
28.0%
(*.f64 (/.f64 (*.f64 a #s(literal -2 binary64)) (*.f64 a b)) (*.f64 c #s(literal 1/2 binary64)))
✓51.2%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
35.2%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (*.f64 (*.f64 b b) (fma.f64 #s(literal -4 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal 1 binary64))))))
33.7%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))))
37.9%
(*.f64 (/.f64 #s(literal -1 binary64) a) b)
24.8%
(*.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a #s(literal 2 binary64)) b)))
33.5%
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) b) #s(literal 1/2 binary64))) c)
15.3%
(exp.f64 (*.f64 (log.f64 (/.f64 a (neg.f64 b))) #s(literal -1 binary64)))
Compiler

Compiled 755 to 521 computations (31% saved)

simplify559.0ms (4.6%)

Memory
15.9MiB live, 854.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
✓cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) a)
✓cost-diff384
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) a))
✓cost-diff0
(/.f64 b (neg.f64 a))
✓cost-diff0
(*.f64 b b)
✓cost-diff0
(/.f64 c (*.f64 b b))
✓cost-diff640
(fma.f64 b (/.f64 c (*.f64 b b)) (/.f64 b (neg.f64 a)))
✓cost-diff0
(+.f64 b b)
✓cost-diff0
(/.f64 a (+.f64 b b))
✓cost-diff896
(/.f64 #s(literal 1/2 binary64) (/.f64 a (+.f64 b b)))
✓cost-diff0
(/.f64 b a)
✓cost-diff0
(fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 a (*.f64 c (/.f64 #s(literal -4 binary64) (*.f64 b b))) #s(literal 1 binary64)))))
✓cost-diff0
(neg.f64 b)
✓cost-diff0
(/.f64 (+.f64 (neg.f64 b) (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 a (*.f64 c (/.f64 #s(literal -4 binary64) (*.f64 b b))) #s(literal 1 binary64)))))) (*.f64 #s(literal 2 binary64) a))
✓cost-diff128
(+.f64 (neg.f64 b) (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 a (*.f64 c (/.f64 #s(literal -4 binary64) (*.f64 b b))) #s(literal 1 binary64))))))
Rules
35 296×accelerator-lowering-fma.f32
35 296×accelerator-lowering-fma.f64
6 250×*-lowering-*.f32
6 250×*-lowering-*.f64
3 214×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036259
181252
2155250
3381248
4750248
52770248
08400236
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (+ (neg b) (fabs (* b (sqrt (+ (* a (* c (/ -4 (* b b)))) 1))))) (* 2 a))
(+ (neg b) (fabs (* b (sqrt (+ (* a (* c (/ -4 (* b b)))) 1)))))
(neg b)
b
(fabs (* b (sqrt (+ (* a (* c (/ -4 (* b b)))) 1))))
(* b (sqrt (+ (* a (* c (/ -4 (* b b)))) 1)))
(sqrt (+ (* a (* c (/ -4 (* b b)))) 1))
(+ (* a (* c (/ -4 (* b b)))) 1)
a
(* c (/ -4 (* b b)))
c
(/ -4 (* b b))
-4
(* b b)
1
(* 2 a)
2
(/ b a)
b
a
(/ 1/2 (/ a (+ b b)))
1/2
(/ a (+ b b))
a
(+ b b)
b
(+ (* b (/ c (* b b))) (/ b (neg a)))
b
(/ c (* b b))
c
(* b b)
(/ b (neg a))
(neg a)
a
(/ 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)))
(* c (* a -4))
c
(* a -4)
a
-4
Outputs
(/ (+ (neg b) (fabs (* b (sqrt (+ (* a (* c (/ -4 (* b b)))) 1))))) (* 2 a))
(/.f64 (-.f64 (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 a (*.f64 c (/.f64 #s(literal -4 binary64) (*.f64 b b))) #s(literal 1 binary64))))) b) (*.f64 a #s(literal 2 binary64)))
(+ (neg b) (fabs (* b (sqrt (+ (* a (* c (/ -4 (* b b)))) 1)))))
(-.f64 (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 a (*.f64 c (/.f64 #s(literal -4 binary64) (*.f64 b b))) #s(literal 1 binary64))))) b)
(neg b)
(neg.f64 b)
b
(fabs (* b (sqrt (+ (* a (* c (/ -4 (* b b)))) 1))))
(fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 a (*.f64 c (/.f64 #s(literal -4 binary64) (*.f64 b b))) #s(literal 1 binary64)))))
(* b (sqrt (+ (* a (* c (/ -4 (* b b)))) 1)))
(*.f64 b (sqrt.f64 (fma.f64 a (*.f64 c (/.f64 #s(literal -4 binary64) (*.f64 b b))) #s(literal 1 binary64))))
(sqrt (+ (* a (* c (/ -4 (* b b)))) 1))
(sqrt.f64 (fma.f64 a (*.f64 c (/.f64 #s(literal -4 binary64) (*.f64 b b))) #s(literal 1 binary64)))
(+ (* a (* c (/ -4 (* b b)))) 1)
(fma.f64 a (*.f64 c (/.f64 #s(literal -4 binary64) (*.f64 b b))) #s(literal 1 binary64))
a
(* c (/ -4 (* b b)))
(*.f64 c (/.f64 #s(literal -4 binary64) (*.f64 b b)))
c
(/ -4 (* b b))
(/.f64 #s(literal -4 binary64) (*.f64 b b))
-4
#s(literal -4 binary64)
(* b b)
(*.f64 b b)
1
#s(literal 1 binary64)
(* 2 a)
(*.f64 a #s(literal 2 binary64))
2
#s(literal 2 binary64)
(/ b a)
(/.f64 b a)
b
a
(/ 1/2 (/ a (+ b b)))
(/.f64 b a)
1/2
#s(literal 1/2 binary64)
(/ a (+ b b))
(/.f64 a (+.f64 b b))
a
(+ b b)
(+.f64 b b)
b
(+ (* b (/ c (* b b))) (/ b (neg a)))
(-.f64 (/.f64 c b) (/.f64 b a))
b
(/ c (* b b))
(/.f64 c (*.f64 b b))
c
(* b b)
(*.f64 b b)
(/ b (neg a))
(/.f64 (neg.f64 b) a)
(neg a)
(neg.f64 a)
a
(/ 1/2 (* (/ 1 (+ b (sqrt (+ (* b b) (* c (* a -4)))))) a))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -4 binary64))))))) a)
1/2
#s(literal 1/2 binary64)
(* (/ 1 (+ b (sqrt (+ (* b b) (* c (* a -4)))))) a)
(/.f64 a (+.f64 b (sqrt.f64 (fma.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 (fma.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 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -4 binary64))))))
b
(sqrt (+ (* b b) (* c (* a -4))))
(sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -4 binary64)))))
(+ (* b b) (* c (* a -4)))
(fma.f64 b b (*.f64 a (*.f64 c #s(literal -4 binary64))))
(* 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)

localize183.0ms (1.5%)

Memory
6.6MiB live, 325.1MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy98.0%
(fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))
✓accuracy95.6%
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) a)
✓accuracy74.8%
(+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))
✓accuracy60.1%
(sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))
✓accuracy100.0%
(*.f64 b b)
✓accuracy100.0%
(neg.f64 a)
✓accuracy91.5%
(fma.f64 b (/.f64 c (*.f64 b b)) (/.f64 b (neg.f64 a)))
✓accuracy87.3%
(/.f64 c (*.f64 b b))
✓accuracy100.0%
(/.f64 a (+.f64 b b))
✓accuracy100.0%
(+.f64 b b)
✓accuracy99.5%
(/.f64 #s(literal 1/2 binary64) (/.f64 a (+.f64 b b)))
✓accuracy100.0%
(/.f64 b a)
✓accuracy94.5%
(/.f64 (+.f64 (neg.f64 b) (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 a (*.f64 c (/.f64 #s(literal -4 binary64) (*.f64 b b))) #s(literal 1 binary64)))))) (*.f64 #s(literal 2 binary64) a))
✓accuracy91.2%
(sqrt.f64 (fma.f64 a (*.f64 c (/.f64 #s(literal -4 binary64) (*.f64 b b))) #s(literal 1 binary64)))
✓accuracy87.3%
(*.f64 c (/.f64 #s(literal -4 binary64) (*.f64 b b)))
✓accuracy79.2%
(+.f64 (neg.f64 b) (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 a (*.f64 c (/.f64 #s(literal -4 binary64) (*.f64 b b))) #s(literal 1 binary64))))))
Samples
40.0ms47×3valid
39.0ms64×2valid
23.0ms51×1valid
21.0ms86×0valid
7.0ms8×4valid
Compiler

Compiled 252 to 38 computations (84.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 93.0ms
ival-mult: 28.0ms (30.2% of total)
ival-div: 26.0ms (28.1% of total)
ival-add: 13.0ms (14% of total)
ival-sqrt: 10.0ms (10.8% of total)
adjust: 9.0ms (9.7% of total)
ival-neg: 3.0ms (3.2% of total)
ival-fabs: 2.0ms (2.2% of total)
exact: 1.0ms (1.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series40.0ms (0.3%)

Memory
-24.9MiB live, 54.4MiB allocated
Counts
21 → 588
Calls
Call 1
Inputs
#<alt (+ (neg b) (fabs (* b (sqrt (+ (* a (* c (/ -4 (* b b)))) 1)))))>
#<alt (/ (+ (neg b) (fabs (* b (sqrt (+ (* a (* c (/ -4 (* b b)))) 1))))) (* 2 a))>
#<alt (neg b)>
#<alt (fabs (* b (sqrt (+ (* a (* c (/ -4 (* b b)))) 1))))>
#<alt (/ b a)>
#<alt (/ 1/2 (/ a (+ b b)))>
#<alt (/ a (+ b b))>
#<alt (+ b b)>
#<alt (+ (* b (/ c (* b b))) (/ b (neg a)))>
#<alt (/ c (* b b))>
#<alt (* b b)>
#<alt (/ b (neg a))>
#<alt (/ 1/2 (* (/ 1 (+ b (sqrt (+ (* b b) (* c (* a -4)))))) a))>
#<alt (* (/ 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 (* c (/ -4 (* b b)))>
#<alt (sqrt (+ (* a (* c (/ -4 (* b b)))) 1))>
#<alt (neg a)>
#<alt (sqrt (+ (* b b) (* c (* a -4))))>
#<alt (+ (* b b) (* c (* a -4)))>
Outputs
#<alt (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))>
#<alt (+ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) (* -1 b))>
#<alt (+ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) (* -1 b))>
#<alt (+ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) (* -1 b))>
#<alt (* -1 b)>
#<alt (* b (- (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) 1))>
#<alt (* b (- (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) 1))>
#<alt (* b (- (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) 1))>
#<alt (* -1 b)>
#<alt (* -1 (* b (+ 1 (* -1 (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)))))>
#<alt (* -1 (* b (+ 1 (* -1 (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)))))>
#<alt (* -1 (* b (+ 1 (* -1 (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)))))>
#<alt (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)>
#<alt (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)>
#<alt (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)>
#<alt (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)>
#<alt (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)>
#<alt (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)>
#<alt (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)>
#<alt (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)>
#<alt (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)>
#<alt (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)>
#<alt (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)>
#<alt (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)>
#<alt (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)>
#<alt (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)>
#<alt (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)>
#<alt (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)>
#<alt (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)>
#<alt (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)>
#<alt (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)>
#<alt (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)>
#<alt (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)>
#<alt (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)>
#<alt (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)>
#<alt (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)>
#<alt (* 1/2 (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) a))>
#<alt (+ (* -1/2 (/ b a)) (* 1/2 (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) a)))>
#<alt (+ (* -1/2 (/ b a)) (* 1/2 (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) a)))>
#<alt (+ (* -1/2 (/ b a)) (* 1/2 (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) a)))>
#<alt (* -1/2 (/ b a))>
#<alt (* b (- (* 1/2 (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) (* a b))) (* 1/2 (/ 1 a))))>
#<alt (* b (- (* 1/2 (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) (* a b))) (* 1/2 (/ 1 a))))>
#<alt (* b (- (* 1/2 (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) (* a b))) (* 1/2 (/ 1 a))))>
#<alt (* -1/2 (/ b a))>
#<alt (* -1 (* b (+ (* -1/2 (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) (* a b))) (* 1/2 (/ 1 a)))))>
#<alt (* -1 (* b (+ (* -1/2 (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) (* a b))) (* 1/2 (/ 1 a)))))>
#<alt (* -1 (* b (+ (* -1/2 (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) (* a b))) (* 1/2 (/ 1 a)))))>
#<alt (* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))>
#<alt (* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))>
#<alt (* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))>
#<alt (* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))>
#<alt (* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))>
#<alt (* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))>
#<alt (* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))>
#<alt (* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))>
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#<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 (* -4 (* a c))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<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))))>
Calls

147 calls:

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

rewrite350.0ms (2.9%)

Memory
18.2MiB live, 494.2MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 094×/-lowering-/.f32
5 094×/-lowering-/.f64
4 352×*-lowering-*.f32
4 352×*-lowering-*.f64
3 878×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036199
1210190
21688186
08385176
Stop Event
1×iter limit
1×node limit
Counts
21 → 1 335
Calls
Call 1
Inputs
(+ (neg b) (fabs (* b (sqrt (+ (* a (* c (/ -4 (* b b)))) 1)))))
(/ (+ (neg b) (fabs (* b (sqrt (+ (* a (* c (/ -4 (* b b)))) 1))))) (* 2 a))
(neg b)
(fabs (* b (sqrt (+ (* a (* c (/ -4 (* b b)))) 1))))
(/ b a)
(/ 1/2 (/ a (+ b b)))
(/ a (+ b b))
(+ b b)
(+ (* b (/ c (* b b))) (/ b (neg a)))
(/ c (* b b))
(* b b)
(/ b (neg a))
(/ 1/2 (* (/ 1 (+ b (sqrt (+ (* b b) (* c (* a -4)))))) a))
(* (/ 1 (+ b (sqrt (+ (* b b) (* c (* a -4)))))) a)
(/ 1 (+ b (sqrt (+ (* b b) (* c (* a -4))))))
(+ b (sqrt (+ (* b b) (* c (* a -4)))))
(* c (/ -4 (* b b)))
(sqrt (+ (* a (* c (/ -4 (* b b)))) 1))
(neg a)
(sqrt (+ (* b b) (* c (* a -4))))
(+ (* b b) (* c (* a -4)))
Outputs
(+.f64 (neg.f64 b) (*.f64 (sqrt.f64 (fma.f64 a (/.f64 c (*.f64 (*.f64 b b) #s(literal -1/4 binary64))) #s(literal 1 binary64))) (fabs.f64 b)))
(+.f64 (*.f64 (sqrt.f64 (fma.f64 a (/.f64 c (*.f64 (*.f64 b b) #s(literal -1/4 binary64))) #s(literal 1 binary64))) (fabs.f64 b)) (neg.f64 b))
(-.f64 (*.f64 (sqrt.f64 (fma.f64 a (/.f64 c (*.f64 (*.f64 b b) #s(literal -1/4 binary64))) #s(literal 1 binary64))) (fabs.f64 b)) b)
(-.f64 #s(literal 0 binary64) (-.f64 b (*.f64 (sqrt.f64 (fma.f64 a (/.f64 c (*.f64 (*.f64 b b) #s(literal -1/4 binary64))) #s(literal 1 binary64))) (fabs.f64 b))))
(-.f64 (/.f64 (*.f64 b b) (-.f64 (neg.f64 b) (*.f64 (sqrt.f64 (fma.f64 a (/.f64 c (*.f64 (*.f64 b b) #s(literal -1/4 binary64))) #s(literal 1 binary64))) (fabs.f64 b)))) (/.f64 (*.f64 (*.f64 b b) (*.f64 (sqrt.f64 (fma.f64 a (/.f64 c (*.f64 (*.f64 b b) #s(literal -1/4 binary64))) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 a (/.f64 c (*.f64 (*.f64 b b) #s(literal -1/4 binary64))) #s(literal 1 binary64))))) (-.f64 (neg.f64 b) (*.f64 (sqrt.f64 (fma.f64 a (/.f64 c (*.f64 (*.f64 b b) #s(literal -1/4 binary64))) #s(literal 1 binary64))) (fabs.f64 b)))))
(-.f64 (fma.f64 (sqrt.f64 (fma.f64 a (/.f64 c (*.f64 (*.f64 b b) #s(literal -1/4 binary64))) #s(literal 1 binary64))) (fabs.f64 b) #s(literal 0 binary64)) b)
(-.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 (sqrt.f64 (fma.f64 a (/.f64 c (*.f64 (*.f64 b b) #s(literal -1/4 binary64))) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 a (/.f64 c (*.f64 (*.f64 b b) #s(literal -1/4 binary64))) #s(literal 1 binary64))))) (-.f64 (*.f64 (sqrt.f64 (fma.f64 a (/.f64 c (*.f64 (*.f64 b b) #s(literal -1/4 binary64))) #s(literal 1 binary64))) (fabs.f64 b)) (neg.f64 b))) (/.f64 (*.f64 b b) (-.f64 (*.f64 (sqrt.f64 (fma.f64 a (/.f64 c (*.f64 (*.f64 b b) #s(literal -1/4 binary64))) #s(literal 1 binary64))) (fabs.f64 b)) (neg.f64 b))))
(fma.f64 b #s(literal -1 binary64) (*.f64 (sqrt.f64 (fma.f64 a (/.f64 c (*.f64 (*.f64 b b) #s(literal -1/4 binary64))) #s(literal 1 binary64))) (fabs.f64 b)))
(fma.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (fma.f64 a (/.f64 c (*.f64 (*.f64 b b) #s(literal -1/4 binary64))) #s(literal 1 binary64))) (fabs.f64 b)) (neg.f64 b))
(fma.f64 (sqrt.f64 (fma.f64 a (/.f64 c (*.f64 (*.f64 b b) #s(literal -1/4 binary64))) #s(literal 1 binary64))) (fabs.f64 b) (neg.f64 b))
(fma.f64 #s(literal -1 binary64) b (*.f64 (sqrt.f64 (fma.f64 a (/.f64 c (*.f64 (*.f64 b b) #s(literal -1/4 binary64))) #s(literal 1 binary64))) (fabs.f64 b)))
(fma.f64 (fabs.f64 b) (sqrt.f64 (fma.f64 a (/.f64 c (*.f64 (*.f64 b b) #s(literal -1/4 binary64))) #s(literal 1 binary64))) (neg.f64 b))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (fma.f64 a (/.f64 c (*.f64 (*.f64 b b) #s(literal -1/4 binary64))) #s(literal 1 binary64))) (fabs.f64 b)) (-.f64 (*.f64 (sqrt.f64 (fma.f64 a (/.f64 c (*.f64 (*.f64 b b) #s(literal -1/4 binary64))) #s(literal 1 binary64))) (fabs.f64 b)) (neg.f64 b)) (*.f64 b b)) (fma.f64 (*.f64 (sqrt.f64 (fma.f64 a (/.f64 c (*.f64 (*.f64 b b) #s(literal -1/4 binary64))) #s(literal 1 binary64))) (fabs.f64 b)) (*.f64 (*.f64 b b) (*.f64 (sqrt.f64 (fma.f64 a (/.f64 c (*.f64 (*.f64 b b) #s(literal -1/4 binary64))) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 a (/.f64 c (*.f64 (*.f64 b b) #s(literal -1/4 binary64))) #s(literal 1 binary64))))) (*.f64 b (*.f64 b b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 b) (*.f64 (sqrt.f64 (fma.f64 a (/.f64 c (*.f64 (*.f64 b b) #s(literal -1/4 binary64))) #s(literal 1 binary64))) (fabs.f64 b))) (-.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 (sqrt.f64 (fma.f64 a (/.f64 c (*.f64 (*.f64 b b) #s(literal -1/4 binary64))) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 a (/.f64 c (*.f64 (*.f64 b b) #s(literal -1/4 binary64))) #s(literal 1 binary64))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 (fma.f64 a (/.f64 c (*.f64 (*.f64 b b) #s(literal -1/4 binary64))) #s(literal 1 binary64))) (fabs.f64 b)) (-.f64 (*.f64 (sqrt.f64 (fma.f64 a (/.f64 c (*.f64 (*.f64 b b) #s(literal -1/4 binary64))) #s(literal 1 binary64))) (fabs.f64 b)) (neg.f64 b)) (*.f64 b b)) (fma.f64 (*.f64 (sqrt.f64 (fma.f64 a (/.f64 c (*.f64 (*.f64 b b) #s(literal -1/4 binary64))) #s(literal 1 binary64))) (fabs.f64 b)) (*.f64 (*.f64 b b) (*.f64 (sqrt.f64 (fma.f64 a (/.f64 c (*.f64 (*.f64 b b) #s(literal -1/4 binary64))) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 a (/.f64 c (*.f64 (*.f64 b b) #s(literal -1/4 binary64))) #s(literal 1 binary64))))) (*.f64 b (*.f64 b b))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (neg.f64 b) (*.f64 (sqrt.f64 (fma.f64 a (/.f64 c (*.f64 (*.f64 b b) #s(literal -1/4 binary64))) #s(literal 1 binary64))) (fabs.f64 b))) (-.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 (sqrt.f64 (fma.f64 a (/.f64 c (*.f64 (*.f64 b b) #s(literal -1/4 binary64))) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 a (/.f64 c (*.f64 (*.f64 b b) #s(literal -1/4 binary64))) #s(literal 1 binary64)))))))))
(/.f64 (fma.f64 (*.f64 (sqrt.f64 (fma.f64 a (/.f64 c (*.f64 (*.f64 b b) #s(literal -1/4 binary64))) #s(literal 1 binary64))) (fabs.f64 b)) (*.f64 (*.f64 b b) (*.f64 (sqrt.f64 (fma.f64 a (/.f64 c (*.f64 (*.f64 b b) #s(literal -1/4 binary64))) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 a (/.f64 c (*.f64 (*.f64 b b) #s(literal -1/4 binary64))) #s(literal 1 binary64))))) (*.f64 b (*.f64 b b))) (fma.f64 (*.f64 (sqrt.f64 (fma.f64 a (/.f64 c (*.f64 (*.f64 b b) #s(literal -1/4 binary64))) #s(literal 1 binary64))) (fabs.f64 b)) (-.f64 (*.f64 (sqrt.f64 (fma.f64 a (/.f64 c (*.f64 (*.f64 b b) #s(literal -1/4 binary64))) #s(literal 1 binary64))) (fabs.f64 b)) (neg.f64 b)) (*.f64 b b)))
(/.f64 (fma.f64 (*.f64 (sqrt.f64 (fma.f64 a (/.f64 c (*.f64 (*.f64 b b) #s(literal -1/4 binary64))) #s(literal 1 binary64))) (fabs.f64 b)) (*.f64 (*.f64 b b) (*.f64 (sqrt.f64 (fma.f64 a (/.f64 c (*.f64 (*.f64 b b) #s(literal -1/4 binary64))) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 a (/.f64 c (*.f64 (*.f64 b b) #s(literal -1/4 binary64))) #s(literal 1 binary64))))) (*.f64 b (*.f64 b b))) (fma.f64 (*.f64 b b) (*.f64 (sqrt.f64 (fma.f64 a (/.f64 c (*.f64 (*.f64 b b) #s(literal -1/4 binary64))) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 a (/.f64 c (*.f64 (*.f64 b b) #s(literal -1/4 binary64))) #s(literal 1 binary64)))) (-.f64 (*.f64 b b) (*.f64 (*.f64 (neg.f64 b) (fabs.f64 b)) (sqrt.f64 (fma.f64 a (/.f64 c (*.f64 (*.f64 b b) #s(literal -1/4 binary64))) #s(literal 1 binary64)))))))
(/.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 (sqrt.f64 (fma.f64 a (/.f64 c (*.f64 (*.f64 b b) #s(literal -1/4 binary64))) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 a (/.f64 c (*.f64 (*.f64 b b) #s(literal -1/4 binary64))) #s(literal 1 binary64)))))) (-.f64 (neg.f64 b) (*.f64 (sqrt.f64 (fma.f64 a (/.f64 c (*.f64 (*.f64 b b) #s(literal -1/4 binary64))) #s(literal 1 binary64))) (fabs.f64 b))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (sqrt.f64 (fma.f64 a (/.f64 c (*.f64 (*.f64 b b) #s(literal -1/4 binary64))) #s(literal 1 binary64))) (fabs.f64 b)) (*.f64 (*.f64 b b) (*.f64 (sqrt.f64 (fma.f64 a (/.f64 c (*.f64 (*.f64 b b) #s(literal -1/4 binary64))) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 a (/.f64 c (*.f64 (*.f64 b b) #s(literal -1/4 binary64))) #s(literal 1 binary64))))) (*.f64 b (*.f64 b b)))) (neg.f64 (fma.f64 (*.f64 (sqrt.f64 (fma.f64 a (/.f64 c (*.f64 (*.f64 b b) #s(literal -1/4 binary64))) #s(literal 1 binary64))) (fabs.f64 b)) (-.f64 (*.f64 (sqrt.f64 (fma.f64 a (/.f64 c (*.f64 (*.f64 b b) #s(literal -1/4 binary64))) #s(literal 1 binary64))) (fabs.f64 b)) (neg.f64 b)) (*.f64 b b))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (sqrt.f64 (fma.f64 a (/.f64 c (*.f64 (*.f64 b b) #s(literal -1/4 binary64))) #s(literal 1 binary64))) (fabs.f64 b)) (*.f64 (*.f64 b b) (*.f64 (sqrt.f64 (fma.f64 a (/.f64 c (*.f64 (*.f64 b b) #s(literal -1/4 binary64))) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 a (/.f64 c (*.f64 (*.f64 b b) #s(literal -1/4 binary64))) #s(literal 1 binary64))))) (*.f64 b (*.f64 b b)))) (neg.f64 (fma.f64 (*.f64 b b) (*.f64 (sqrt.f64 (fma.f64 a (/.f64 c (*.f64 (*.f64 b b) #s(literal -1/4 binary64))) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 a (/.f64 c (*.f64 (*.f64 b b) #s(literal -1/4 binary64))) #s(literal 1 binary64)))) (-.f64 (*.f64 b b) (*.f64 (*.f64 (neg.f64 b) (fabs.f64 b)) (sqrt.f64 (fma.f64 a (/.f64 c (*.f64 (*.f64 b b) #s(literal -1/4 binary64))) #s(literal 1 binary64))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 (sqrt.f64 (fma.f64 a (/.f64 c (*.f64 (*.f64 b b) #s(literal -1/4 binary64))) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 a (/.f64 c (*.f64 (*.f64 b b) #s(literal -1/4 binary64))) #s(literal 1 binary64))))))) (neg.f64 (-.f64 (neg.f64 b) (*.f64 (sqrt.f64 (fma.f64 a (/.f64 c (*.f64 (*.f64 b b) #s(literal -1/4 binary64))) #s(literal 1 binary64))) (fabs.f64 b)))))
(/.f64 (-.f64 (*.f64 (*.f64 b b) (*.f64 (sqrt.f64 (fma.f64 a (/.f64 c (*.f64 (*.f64 b b) #s(literal -1/4 binary64))) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 a (/.f64 c (*.f64 (*.f64 b b) #s(literal -1/4 binary64))) #s(literal 1 binary64))))) (*.f64 b b)) (-.f64 (*.f64 (sqrt.f64 (fma.f64 a (/.f64 c (*.f64 (*.f64 b b) #s(literal -1/4 binary64))) #s(literal 1 binary64))) (fabs.f64 b)) (neg.f64 b)))
(/.f64 (-.f64 (*.f64 (*.f64 b b) (-.f64 (neg.f64 b) (*.f64 (sqrt.f64 (fma.f64 a (/.f64 c (*.f64 (*.f64 b b) #s(literal -1/4 binary64))) #s(literal 1 binary64))) (fabs.f64 b)))) (*.f64 (-.f64 (neg.f64 b) (*.f64 (sqrt.f64 (fma.f64 a (/.f64 c (*.f64 (*.f64 b b) #s(literal -1/4 binary64))) #s(literal 1 binary64))) (fabs.f64 b))) (*.f64 (*.f64 b b) (*.f64 (sqrt.f64 (fma.f64 a (/.f64 c (*.f64 (*.f64 b b) #s(literal -1/4 binary64))) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 a (/.f64 c (*.f64 (*.f64 b b) #s(literal -1/4 binary64))) #s(literal 1 binary64))))))) (*.f64 (-.f64 (neg.f64 b) (*.f64 (sqrt.f64 (fma.f64 a (/.f64 c (*.f64 (*.f64 b b) #s(literal -1/4 binary64))) #s(literal 1 binary64))) (fabs.f64 b))) (-.f64 (neg.f64 b) (*.f64 (sqrt.f64 (fma.f64 a (/.f64 c (*.f64 (*.f64 b b) #s(literal -1/4 binary64))) #s(literal 1 binary64))) (fabs.f64 b)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (sqrt.f64 (fma.f64 a (/.f64 c (*.f64 (*.f64 b b) #s(literal -1/4 binary64))) #s(literal 1 binary64))) (fabs.f64 b)) (*.f64 (*.f64 b b) (*.f64 (sqrt.f64 (fma.f64 a (/.f64 c (*.f64 (*.f64 b b) #s(literal -1/4 binary64))) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 a (/.f64 c (*.f64 (*.f64 b b) #s(literal -1/4 binary64))) #s(literal 1 binary64))))) (*.f64 b (*.f64 b b))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (sqrt.f64 (fma.f64 a (/.f64 c (*.f64 (*.f64 b b) #s(literal -1/4 binary64))) #s(literal 1 binary64))) (fabs.f64 b)) (-.f64 (*.f64 (sqrt.f64 (fma.f64 a (/.f64 c (*.f64 (*.f64 b b) #s(literal -1/4 binary64))) #s(literal 1 binary64))) (fabs.f64 b)) (neg.f64 b)) (*.f64 b b)))))
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(*.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 #s(literal 16 binary64) (*.f64 (*.f64 a c) (*.f64 a c)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))
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(*.f64 (pow.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 #s(literal 16 binary64) (*.f64 (*.f64 a c) (*.f64 a c)))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) #s(literal 1 binary64)))

simplify439.0ms (3.6%)

Memory
19.9MiB live, 565.3MiB allocated
Algorithm
1×egg-herbie
Rules
7 076×*-lowering-*.f32
7 076×*-lowering-*.f64
6 962×accelerator-lowering-fma.f32
6 962×accelerator-lowering-fma.f64
5 198×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
011289610
137529293
082758901
Stop Event
1×iter limit
1×node limit
Counts
588 → 588
Calls
Call 1
Inputs
(fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
(+ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) (* -1 b))
(+ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) (* -1 b))
(+ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) (* -1 b))
(* -1 b)
(* b (- (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) 1))
(* b (- (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) 1))
(* b (- (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) 1))
(* -1 b)
(* -1 (* b (+ 1 (* -1 (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)))))
(* -1 (* b (+ 1 (* -1 (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)))))
(* -1 (* b (+ 1 (* -1 (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)))))
(- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)
(- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)
(- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)
(- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)
(- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)
(- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)
(- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)
(- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)
(- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)
(- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)
(- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)
(- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)
(- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)
(- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)
(- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)
(- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)
(- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)
(- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)
(- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)
(- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)
(- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)
(- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)
(- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)
(- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)
(* 1/2 (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) a))
(+ (* -1/2 (/ b a)) (* 1/2 (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) a)))
(+ (* -1/2 (/ b a)) (* 1/2 (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) a)))
(+ (* -1/2 (/ b a)) (* 1/2 (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) a)))
(* -1/2 (/ b a))
(* b (- (* 1/2 (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) (* a b))) (* 1/2 (/ 1 a))))
(* b (- (* 1/2 (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) (* a b))) (* 1/2 (/ 1 a))))
(* b (- (* 1/2 (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) (* a b))) (* 1/2 (/ 1 a))))
(* -1/2 (/ b a))
(* -1 (* b (+ (* -1/2 (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) (* a b))) (* 1/2 (/ 1 a)))))
(* -1 (* b (+ (* -1/2 (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) (* a b))) (* 1/2 (/ 1 a)))))
(* -1 (* b (+ (* -1/2 (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) (* a b))) (* 1/2 (/ 1 a)))))
(* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))
(* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))
(* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))
(* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))
(* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))
(* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))
(* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))
(* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))
(* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))
(* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))
(* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))
(* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))
(* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))
(* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))
(* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))
(* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))
(* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))
(* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))
(* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))
(* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))
(* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))
(* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))
(* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))
(* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
(fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
(fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
(fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
(fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
(fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
(fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
(fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
(fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
(fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
(fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
(fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
(fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
(fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
(fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
(fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
(fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
(fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
(fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
(fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
(fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
(fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
(fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
(fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
(fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
(fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
(fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
(fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
(fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
(fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
(fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
(fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
(fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
(fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
(fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
(fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
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(/ b a)
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(/ b a)
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(/ b a)
(/ b a)
(/ b a)
(/ b a)
(* 1/2 (/ a b))
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(* 1/2 (/ a b))
(* 1/2 (/ a b))
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(* 1/2 (/ a b))
(* 1/2 (/ a b))
(* 1/2 (/ a b))
(* 1/2 (/ a b))
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(* 1/2 (/ a b))
(* 1/2 (/ a b))
(* 1/2 (/ a b))
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(* 1/2 (/ a b))
(* 1/2 (/ a b))
(* 1/2 (/ a b))
(* 2 b)
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(/ c b)
(/ (+ c (* -1 (/ (pow b 2) a))) b)
(/ (+ c (* -1 (/ (pow b 2) a))) b)
(/ (+ c (* -1 (/ (pow b 2) a))) b)
(* -1 (/ b a))
(* b (- (/ c (pow b 2)) (/ 1 a)))
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(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (/ b a))
(+ (* -1 (/ b a)) (/ c b))
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(+ (* -1 (/ b a)) (/ c b))
(/ c b)
(* c (+ (* -1 (/ b (* a c))) (/ 1 b)))
(* c (+ (* -1 (/ b (* a c))) (/ 1 b)))
(* c (+ (* -1 (/ b (* a c))) (/ 1 b)))
(/ c b)
(* -1 (* c (- (/ b (* a c)) (/ 1 b))))
(* -1 (* c (- (/ b (* a c)) (/ 1 b))))
(* -1 (* c (- (/ b (* a c)) (/ 1 b))))
(* -1 (/ b a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ c b)
(+ (* -1 (/ b a)) (/ c b))
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(/ c b)
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
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(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
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(/ c (pow b 2))
(/ c (pow b 2))
(pow b 2)
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(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
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(* -1 (/ b a))
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(* -1 (/ b a))
(* -1 (/ 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)
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(+ (* 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)))))
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(* -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 (/ 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))
(* 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 (/ 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 (/ c (pow b 2)))
(* -4 (/ c (pow b 2)))
(* -4 (/ c (pow b 2)))
(* -4 (/ c (pow b 2)))
(* -4 (/ c (pow b 2)))
(* -4 (/ c (pow b 2)))
(* -4 (/ c (pow b 2)))
(* -4 (/ c (pow b 2)))
(* -4 (/ c (pow b 2)))
(* -4 (/ c (pow b 2)))
(* -4 (/ c (pow b 2)))
(* -4 (/ c (pow b 2)))
(* -4 (/ c (pow b 2)))
(* -4 (/ c (pow b 2)))
(* -4 (/ c (pow b 2)))
(* -4 (/ c (pow b 2)))
(* -4 (/ c (pow b 2)))
(* -4 (/ c (pow b 2)))
(* -4 (/ c (pow b 2)))
(* -4 (/ c (pow b 2)))
(* -4 (/ c (pow b 2)))
(* -4 (/ c (pow b 2)))
(* -4 (/ c (pow b 2)))
(* -4 (/ c (pow b 2)))
1
(+ 1 (* -2 (/ (* a c) (pow b 2))))
(+ 1 (* a (+ (* -2 (/ c (pow b 2))) (* -2 (/ (* a (pow c 2)) (pow b 4))))))
(+ 1 (* a (+ (* -2 (/ c (pow b 2))) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 6))) (* -2 (/ (pow c 2) (pow b 4))))))))
(* (sqrt (* a c)) (/ (sqrt -4) b))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* (sqrt (/ c a)) (/ (sqrt -4) b))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 3) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* (sqrt (/ c a)) (/ (sqrt -4) b)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 3) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 5) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* (sqrt (/ c a)) (/ (sqrt -4) b))))))
(* -2 (* (sqrt (* a c)) (/ (sqrt -1) b)))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* b (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (/ (sqrt -1) b))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 3) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* b (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (/ (sqrt -1) b)))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 3) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 5) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* b (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (/ (sqrt -1) b))))))))
1
(+ 1 (* -2 (/ (* a c) (pow b 2))))
(+ 1 (* c (+ (* -2 (/ a (pow b 2))) (* -2 (/ (* (pow a 2) c) (pow b 4))))))
(+ 1 (* c (+ (* -2 (/ a (pow b 2))) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 6))) (* -2 (/ (pow a 2) (pow b 4))))))))
(* (sqrt (* a c)) (/ (sqrt -4) b))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ b (sqrt -4)))) (* (sqrt (/ a c)) (/ (sqrt -4) b))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 3) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ b (sqrt -4)))) (* (sqrt (/ a c)) (/ (sqrt -4) b)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 3) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 5) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ b (sqrt -4)))) (* (sqrt (/ a c)) (/ (sqrt -4) b))))))
(* -2 (* (sqrt (* a c)) (/ (sqrt -1) b)))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* b (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (/ (sqrt -1) b))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 3) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* b (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (/ (sqrt -1) b)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 3) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 5) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* b (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (/ (sqrt -1) b))))))))
(* (sqrt (* a c)) (/ (sqrt -4) b))
(/ (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4))) b)
(/ (+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))))) b)
(/ (+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5))))))))) b)
1
(+ 1 (* -2 (/ (* a c) (pow b 2))))
(+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))
(+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
1
(+ 1 (* -2 (/ (* a c) (pow b 2))))
(+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))
(+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* (sqrt (* a c)) (sqrt -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))))))))
(* -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))))
Outputs
(fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
(fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 a c) (*.f64 b b)) #s(literal 1 binary64)))))
(+ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) (* -1 b))
(-.f64 (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 a c) (*.f64 b b)) #s(literal 1 binary64))))) b)
(+ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) (* -1 b))
(-.f64 (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 a c) (*.f64 b b)) #s(literal 1 binary64))))) b)
(+ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) (* -1 b))
(-.f64 (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 a c) (*.f64 b b)) #s(literal 1 binary64))))) b)
(* -1 b)
(neg.f64 b)
(* b (- (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) 1))
(fma.f64 b (/.f64 (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 a c) (*.f64 b b)) #s(literal 1 binary64))))) b) (neg.f64 b))
(* b (- (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) 1))
(fma.f64 b (/.f64 (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 a c) (*.f64 b b)) #s(literal 1 binary64))))) b) (neg.f64 b))
(* b (- (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) 1))
(fma.f64 b (/.f64 (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 a c) (*.f64 b b)) #s(literal 1 binary64))))) b) (neg.f64 b))
(* -1 b)
(neg.f64 b)
(* -1 (* b (+ 1 (* -1 (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)))))
(neg.f64 (fma.f64 b (/.f64 (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 a c) (*.f64 b b)) #s(literal 1 binary64))))) (neg.f64 b)) b))
(* -1 (* b (+ 1 (* -1 (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)))))
(neg.f64 (fma.f64 b (/.f64 (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 a c) (*.f64 b b)) #s(literal 1 binary64))))) (neg.f64 b)) b))
(* -1 (* b (+ 1 (* -1 (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)))))
(neg.f64 (fma.f64 b (/.f64 (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 a c) (*.f64 b b)) #s(literal 1 binary64))))) (neg.f64 b)) b))
(- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)
(-.f64 (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 a c) (*.f64 b b)) #s(literal 1 binary64))))) b)
(- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)
(-.f64 (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 a c) (*.f64 b b)) #s(literal 1 binary64))))) b)
(- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)
(-.f64 (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 a c) (*.f64 b b)) #s(literal 1 binary64))))) b)
(- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)
(-.f64 (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 a c) (*.f64 b b)) #s(literal 1 binary64))))) b)
(- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)
(-.f64 (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 a c) (*.f64 b b)) #s(literal 1 binary64))))) b)
(- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)
(-.f64 (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 a c) (*.f64 b b)) #s(literal 1 binary64))))) b)
(- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)
(-.f64 (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 a c) (*.f64 b b)) #s(literal 1 binary64))))) b)
(- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)
(-.f64 (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 a c) (*.f64 b b)) #s(literal 1 binary64))))) b)
(- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)
(-.f64 (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 a c) (*.f64 b b)) #s(literal 1 binary64))))) b)
(- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)
(-.f64 (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 a c) (*.f64 b b)) #s(literal 1 binary64))))) b)
(- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)
(-.f64 (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 a c) (*.f64 b b)) #s(literal 1 binary64))))) b)
(- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)
(-.f64 (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 a c) (*.f64 b b)) #s(literal 1 binary64))))) b)
(- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)
(-.f64 (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 a c) (*.f64 b b)) #s(literal 1 binary64))))) b)
(- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)
(-.f64 (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 a c) (*.f64 b b)) #s(literal 1 binary64))))) b)
(- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)
(-.f64 (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 a c) (*.f64 b b)) #s(literal 1 binary64))))) b)
(- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)
(-.f64 (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 a c) (*.f64 b b)) #s(literal 1 binary64))))) b)
(- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)
(-.f64 (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 a c) (*.f64 b b)) #s(literal 1 binary64))))) b)
(- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)
(-.f64 (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 a c) (*.f64 b b)) #s(literal 1 binary64))))) b)
(- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)
(-.f64 (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 a c) (*.f64 b b)) #s(literal 1 binary64))))) b)
(- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)
(-.f64 (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 a c) (*.f64 b b)) #s(literal 1 binary64))))) b)
(- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)
(-.f64 (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 a c) (*.f64 b b)) #s(literal 1 binary64))))) b)
(- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)
(-.f64 (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 a c) (*.f64 b b)) #s(literal 1 binary64))))) b)
(- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)
(-.f64 (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 a c) (*.f64 b b)) #s(literal 1 binary64))))) b)
(- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)
(-.f64 (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 a c) (*.f64 b b)) #s(literal 1 binary64))))) b)
(* 1/2 (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) a))
(/.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 a c) (*.f64 b b)) #s(literal 1 binary64)))))) a)
(+ (* -1/2 (/ b a)) (* 1/2 (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) a)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 a c) (*.f64 b b)) #s(literal 1 binary64))))) a) (/.f64 (*.f64 b #s(literal -1/2 binary64)) a))
(+ (* -1/2 (/ b a)) (* 1/2 (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) a)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 a c) (*.f64 b b)) #s(literal 1 binary64))))) a) (/.f64 (*.f64 b #s(literal -1/2 binary64)) a))
(+ (* -1/2 (/ b a)) (* 1/2 (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) a)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 a c) (*.f64 b b)) #s(literal 1 binary64))))) a) (/.f64 (*.f64 b #s(literal -1/2 binary64)) a))
(* -1/2 (/ b a))
(/.f64 (*.f64 b #s(literal -1/2 binary64)) a)
(* b (- (* 1/2 (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) (* a b))) (* 1/2 (/ 1 a))))
(*.f64 b (fma.f64 #s(literal 1/2 binary64) (/.f64 (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 a c) (*.f64 b b)) #s(literal 1 binary64))))) (*.f64 b a)) (/.f64 #s(literal -1/2 binary64) a)))
(* b (- (* 1/2 (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) (* a b))) (* 1/2 (/ 1 a))))
(*.f64 b (fma.f64 #s(literal 1/2 binary64) (/.f64 (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 a c) (*.f64 b b)) #s(literal 1 binary64))))) (*.f64 b a)) (/.f64 #s(literal -1/2 binary64) a)))
(* b (- (* 1/2 (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) (* a b))) (* 1/2 (/ 1 a))))
(*.f64 b (fma.f64 #s(literal 1/2 binary64) (/.f64 (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 a c) (*.f64 b b)) #s(literal 1 binary64))))) (*.f64 b a)) (/.f64 #s(literal -1/2 binary64) a)))
(* -1/2 (/ b a))
(/.f64 (*.f64 b #s(literal -1/2 binary64)) a)
(* -1 (* b (+ (* -1/2 (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) (* a b))) (* 1/2 (/ 1 a)))))
(*.f64 (neg.f64 b) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 a c) (*.f64 b b)) #s(literal 1 binary64))))) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) a)))
(* -1 (* b (+ (* -1/2 (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) (* a b))) (* 1/2 (/ 1 a)))))
(*.f64 (neg.f64 b) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 a c) (*.f64 b b)) #s(literal 1 binary64))))) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) a)))
(* -1 (* b (+ (* -1/2 (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) (* a b))) (* 1/2 (/ 1 a)))))
(*.f64 (neg.f64 b) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 a c) (*.f64 b b)) #s(literal 1 binary64))))) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) a)))
(* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 a c) (*.f64 b b)) #s(literal 1 binary64))))) b)) a)
(* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 a c) (*.f64 b b)) #s(literal 1 binary64))))) b)) a)
(* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 a c) (*.f64 b b)) #s(literal 1 binary64))))) b)) a)
(* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 a c) (*.f64 b b)) #s(literal 1 binary64))))) b)) a)
(* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 a c) (*.f64 b b)) #s(literal 1 binary64))))) b)) a)
(* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 a c) (*.f64 b b)) #s(literal 1 binary64))))) b)) a)
(* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 a c) (*.f64 b b)) #s(literal 1 binary64))))) b)) a)
(* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 a c) (*.f64 b b)) #s(literal 1 binary64))))) b)) a)
(* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 a c) (*.f64 b b)) #s(literal 1 binary64))))) b)) a)
(* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 a c) (*.f64 b b)) #s(literal 1 binary64))))) b)) a)
(* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))
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b
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b
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b
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(* (sqrt (* a c)) (sqrt -4))
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(*.f64 (neg.f64 a) (fma.f64 #s(literal -1/64 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 c (*.f64 c c))))) (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (fma.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 -1 binary64)))) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
(*.f64 (neg.f64 a) (fma.f64 #s(literal -1/64 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 c (*.f64 c c))))) (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 #s(literal 1/512 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 7 binary64))))) (*.f64 (pow.f64 b #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (fma.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 -1 binary64)))) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))))))
(* -4 (* a c))
(*.f64 #s(literal -4 binary64) (*.f64 a c))
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(*.f64 (*.f64 b b) (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 a c) (*.f64 b b)) #s(literal 1 binary64)))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(*.f64 (*.f64 b b) (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 a c) (*.f64 b b)) #s(literal 1 binary64)))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(*.f64 (*.f64 b b) (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 a c) (*.f64 b b)) #s(literal 1 binary64)))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(*.f64 (*.f64 b b) (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 a c) (*.f64 b b)) #s(literal 1 binary64)))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(*.f64 (*.f64 b b) (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 a c) (*.f64 b b)) #s(literal 1 binary64)))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(*.f64 (*.f64 b b) (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 a c) (*.f64 b b)) #s(literal 1 binary64)))
(pow b 2)
(*.f64 b b)
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))
(* -4 (* a c))
(*.f64 #s(literal -4 binary64) (*.f64 a c))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(*.f64 c (fma.f64 #s(literal -4 binary64) a (/.f64 (*.f64 b b) c)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(*.f64 c (fma.f64 #s(literal -4 binary64) a (/.f64 (*.f64 b b) c)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(*.f64 c (fma.f64 #s(literal -4 binary64) a (/.f64 (*.f64 b b) c)))
(* -4 (* a c))
(*.f64 #s(literal -4 binary64) (*.f64 a c))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(*.f64 (neg.f64 c) (-.f64 (*.f64 a #s(literal 4 binary64)) (/.f64 (*.f64 b b) c)))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(*.f64 (neg.f64 c) (-.f64 (*.f64 a #s(literal 4 binary64)) (/.f64 (*.f64 b b) c)))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(*.f64 (neg.f64 c) (-.f64 (*.f64 a #s(literal 4 binary64)) (/.f64 (*.f64 b b) c)))
(pow b 2)
(*.f64 b b)
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))
(* -4 (* a c))
(*.f64 #s(literal -4 binary64) (*.f64 a c))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(*.f64 a (fma.f64 #s(literal -4 binary64) c (/.f64 (*.f64 b b) a)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(*.f64 a (fma.f64 #s(literal -4 binary64) c (/.f64 (*.f64 b b) a)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(*.f64 a (fma.f64 #s(literal -4 binary64) c (/.f64 (*.f64 b b) a)))
(* -4 (* a c))
(*.f64 #s(literal -4 binary64) (*.f64 a c))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(*.f64 (neg.f64 a) (-.f64 (*.f64 c #s(literal 4 binary64)) (/.f64 (*.f64 b b) a)))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(*.f64 (neg.f64 a) (-.f64 (*.f64 c #s(literal 4 binary64)) (/.f64 (*.f64 b b) a)))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(*.f64 (neg.f64 a) (-.f64 (*.f64 c #s(literal 4 binary64)) (/.f64 (*.f64 b b) a)))

eval262.0ms (2.2%)

Memory
27.5MiB live, 441.0MiB allocated
Compiler

Compiled 43 165 to 5 427 computations (87.4% saved)

prune304.0ms (2.5%)

Memory
-31.7MiB live, 431.0MiB allocated
Pruning

35 alts after pruning (32 fresh and 3 done)

PrunedKeptTotal
New1 934191 953
Fresh71320
Picked415
Done022
Total1 945351 980
Accuracy
96.0%
Counts
1 980 → 35
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.6%
(fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (/.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (*.f64 a #s(literal -2 binary64))))
53.4%
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 a (/.f64 c (*.f64 (*.f64 b b) #s(literal -1/4 binary64))) #s(literal 1 binary64))) (fabs.f64 b) (neg.f64 b)) (*.f64 a #s(literal 2 binary64)))
13.8%
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 a (*.f64 c (/.f64 #s(literal -4 binary64) (*.f64 b b))) #s(literal 1 binary64))) b (neg.f64 b)) (*.f64 #s(literal 2 binary64) a))
23.5%
(/.f64 (fma.f64 b b (fma.f64 (*.f64 #s(literal 4 binary64) a) c (*.f64 b b))) (*.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))))
▶4.3%
(/.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 b b))
5.3%
(/.f64 (/.f64 #s(literal -1 binary64) a) (+.f64 b b))
25.1%
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a b)) (*.f64 a a))
33.7%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))
▶56.4%
(/.f64 (+.f64 (neg.f64 b) (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 a (/.f64 (/.f64 (*.f64 c #s(literal -4 binary64)) b) b) #s(literal 1 binary64)))))) (*.f64 #s(literal 2 binary64) a))
15.1%
(/.f64 (+.f64 b b) (neg.f64 a))
2.3%
(/.f64 (+.f64 b b) a)
▶24.4%
(/.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 a c) (*.f64 b b)) #s(literal 1 binary64)))))) a)
28.7%
(/.f64 (neg.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c)) b)
33.7%
(/.f64 c (neg.f64 b))
▶8.1%
(/.f64 c b)
✓38.0%
(/.f64 b (neg.f64 a))
✓2.3%
(/.f64 b a)
4.5%
(/.f64 #s(literal 1 binary64) (*.f64 a (+.f64 b b)))
26.0%
(/.f64 #s(literal 1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))))))
26.0%
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))))) a))
▶4.5%
(/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 b b) a))
4.5%
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a (+.f64 b b)) #s(literal 2 binary64)))
5.5%
(/.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (*.f64 a (+.f64 b b))))
5.5%
(/.f64 #s(literal -1/2 binary64) (*.f64 a (+.f64 b b)))
37.9%
(/.f64 #s(literal -1 binary64) (/.f64 a b))
5.5%
(/.f64 #s(literal -1 binary64) (*.f64 a (+.f64 b b)))
38.1%
(-.f64 (/.f64 c b) (/.f64 b a))
4.3%
(*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1/2 binary64) a))
2.3%
(*.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 b b))
✓51.2%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
35.2%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (*.f64 (*.f64 b b) (fma.f64 #s(literal -4 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal 1 binary64))))))
33.7%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))))
15.1%
(*.f64 (/.f64 #s(literal -1 binary64) a) (+.f64 b b))
33.5%
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) b) #s(literal 1/2 binary64))) c)
2.3%
(exp.f64 (*.f64 (log.f64 (*.f64 a (+.f64 b b))) #s(literal -1 binary64)))
Compiler

Compiled 917 to 637 computations (30.5% saved)

simplify499.0ms (4.1%)

Memory
-2.0MiB live, 429.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 a c) (*.f64 b b)) #s(literal 1 binary64))))
✓cost-diff0
(fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 a c) (*.f64 b b)) #s(literal 1 binary64)))))
✓cost-diff0
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 a c) (*.f64 b b)) #s(literal 1 binary64))))))
✓cost-diff128
(/.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 a c) (*.f64 b b)) #s(literal 1 binary64)))))) a)
✓cost-diff0
(+.f64 b b)
✓cost-diff0
(/.f64 #s(literal 1 binary64) a)
✓cost-diff576
(/.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 b b))
✓cost-diff0
(+.f64 b b)
✓cost-diff0
(*.f64 (+.f64 b b) a)
✓cost-diff192
(/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 b b) a))
✓cost-diff0
(/.f64 c b)
✓cost-diff0
(/.f64 (+.f64 (neg.f64 b) (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 a (/.f64 (/.f64 (*.f64 c #s(literal -4 binary64)) b) b) #s(literal 1 binary64)))))) (*.f64 #s(literal 2 binary64) a))
✓cost-diff128
(*.f64 #s(literal 2 binary64) a)
✓cost-diff128
(+.f64 (neg.f64 b) (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 a (/.f64 (/.f64 (*.f64 c #s(literal -4 binary64)) b) b) #s(literal 1 binary64))))))
✓cost-diff384
(/.f64 (/.f64 (*.f64 c #s(literal -4 binary64)) b) b)
Rules
19 276×accelerator-lowering-fma.f32
19 276×accelerator-lowering-fma.f64
3 006×*-lowering-*.f32
3 006×*-lowering-*.f64
2 040×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035264
178260
2161258
3293258
4414258
5631258
61110258
72545258
83734258
94868258
106365258
116836258
127233258
137369258
147377258
157410258
167510258
177532258
187552258
197568258
207576258
217576258
08365246
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (+ (neg b) (fabs (* b (sqrt (+ (* a (/ (/ (* c -4) b) b)) 1))))) (* 2 a))
(+ (neg b) (fabs (* b (sqrt (+ (* a (/ (/ (* c -4) b) b)) 1)))))
(neg b)
b
(fabs (* b (sqrt (+ (* a (/ (/ (* c -4) b) b)) 1))))
(* b (sqrt (+ (* a (/ (/ (* c -4) b) b)) 1)))
(sqrt (+ (* a (/ (/ (* c -4) b) b)) 1))
(+ (* a (/ (/ (* c -4) b) b)) 1)
a
(/ (/ (* c -4) b) b)
(/ (* c -4) b)
(* c -4)
c
-4
1
(* 2 a)
2
(/ c b)
c
b
(/ 1/2 (* (+ b b) a))
1/2
(* (+ b b) a)
(+ b b)
b
a
(/ (/ 1 a) (+ b b))
(/ 1 a)
1
a
(+ b b)
b
(/ (* 1/2 (fabs (* b (sqrt (+ (* -4 (/ (* a c) (* b b))) 1))))) a)
(* 1/2 (fabs (* b (sqrt (+ (* -4 (/ (* a c) (* b b))) 1)))))
1/2
(fabs (* b (sqrt (+ (* -4 (/ (* a c) (* b b))) 1))))
(* b (sqrt (+ (* -4 (/ (* a c) (* b b))) 1)))
b
(sqrt (+ (* -4 (/ (* a c) (* b b))) 1))
(+ (* -4 (/ (* a c) (* b b))) 1)
-4
(/ (* a c) (* b b))
(* a c)
a
c
(* b b)
1
Outputs
(/ (+ (neg b) (fabs (* b (sqrt (+ (* a (/ (/ (* c -4) b) b)) 1))))) (* 2 a))
(/.f64 (-.f64 (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 a (*.f64 c (/.f64 #s(literal -4 binary64) (*.f64 b b))) #s(literal 1 binary64))))) b) (+.f64 a a))
(+ (neg b) (fabs (* b (sqrt (+ (* a (/ (/ (* c -4) b) b)) 1)))))
(-.f64 (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 a (*.f64 c (/.f64 #s(literal -4 binary64) (*.f64 b b))) #s(literal 1 binary64))))) b)
(neg b)
(neg.f64 b)
b
(fabs (* b (sqrt (+ (* a (/ (/ (* c -4) b) b)) 1))))
(fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 a (*.f64 c (/.f64 #s(literal -4 binary64) (*.f64 b b))) #s(literal 1 binary64)))))
(* b (sqrt (+ (* a (/ (/ (* c -4) b) b)) 1)))
(*.f64 b (sqrt.f64 (fma.f64 a (*.f64 c (/.f64 #s(literal -4 binary64) (*.f64 b b))) #s(literal 1 binary64))))
(sqrt (+ (* a (/ (/ (* c -4) b) b)) 1))
(sqrt.f64 (fma.f64 a (*.f64 c (/.f64 #s(literal -4 binary64) (*.f64 b b))) #s(literal 1 binary64)))
(+ (* a (/ (/ (* c -4) b) b)) 1)
(fma.f64 a (*.f64 c (/.f64 #s(literal -4 binary64) (*.f64 b b))) #s(literal 1 binary64))
a
(/ (/ (* c -4) b) b)
(*.f64 c (/.f64 #s(literal -4 binary64) (*.f64 b b)))
(/ (* c -4) b)
(/.f64 (*.f64 c #s(literal -4 binary64)) b)
(* c -4)
(*.f64 c #s(literal -4 binary64))
c
-4
#s(literal -4 binary64)
1
#s(literal 1 binary64)
(* 2 a)
(+.f64 a a)
2
#s(literal 2 binary64)
(/ c b)
(/.f64 c b)
c
b
(/ 1/2 (* (+ b b) a))
(/.f64 #s(literal 1/4 binary64) (*.f64 b a))
1/2
#s(literal 1/2 binary64)
(* (+ b b) a)
(*.f64 b (+.f64 a a))
(+ b b)
(+.f64 b b)
b
a
(/ (/ 1 a) (+ b b))
(/.f64 #s(literal 1/2 binary64) (*.f64 b a))
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
1
#s(literal 1 binary64)
a
(+ b b)
(+.f64 b b)
b
(/ (* 1/2 (fabs (* b (sqrt (+ (* -4 (/ (* a c) (* b b))) 1))))) a)
(/.f64 (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 a (*.f64 c (/.f64 #s(literal -4 binary64) (*.f64 b b))) #s(literal 1 binary64))))) (+.f64 a a))
(* 1/2 (fabs (* b (sqrt (+ (* -4 (/ (* a c) (* b b))) 1)))))
(*.f64 (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 a (*.f64 c (/.f64 #s(literal -4 binary64) (*.f64 b b))) #s(literal 1 binary64))))) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(fabs (* b (sqrt (+ (* -4 (/ (* a c) (* b b))) 1))))
(fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 a (*.f64 c (/.f64 #s(literal -4 binary64) (*.f64 b b))) #s(literal 1 binary64)))))
(* b (sqrt (+ (* -4 (/ (* a c) (* b b))) 1)))
(*.f64 b (sqrt.f64 (fma.f64 a (*.f64 c (/.f64 #s(literal -4 binary64) (*.f64 b b))) #s(literal 1 binary64))))
b
(sqrt (+ (* -4 (/ (* a c) (* b b))) 1))
(sqrt.f64 (fma.f64 a (*.f64 c (/.f64 #s(literal -4 binary64) (*.f64 b b))) #s(literal 1 binary64)))
(+ (* -4 (/ (* a c) (* b b))) 1)
(fma.f64 a (*.f64 c (/.f64 #s(literal -4 binary64) (*.f64 b b))) #s(literal 1 binary64))
-4
#s(literal -4 binary64)
(/ (* a c) (* b b))
(/.f64 (*.f64 a c) (*.f64 b b))
(* a c)
(*.f64 a c)
a
c
(* b b)
(*.f64 b b)
1
#s(literal 1 binary64)

localize144.0ms (1.2%)

Memory
20.4MiB live, 250.3MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓accuracy99.9%
(/.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 a c) (*.f64 b b)) #s(literal 1 binary64)))))) a)
✓accuracy94.7%
(*.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 a c) (*.f64 b b)) #s(literal 1 binary64))))
✓accuracy91.2%
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 a c) (*.f64 b b)) #s(literal 1 binary64)))
✓accuracy81.8%
(/.f64 (*.f64 a c) (*.f64 b b))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) a)
✓accuracy100.0%
(+.f64 b b)
✓accuracy99.7%
(/.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 b b))
✓accuracy100.0%
(+.f64 b b)
✓accuracy100.0%
(*.f64 (+.f64 b b) a)
✓accuracy99.0%
(/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 b b) a))
✓accuracy100.0%
(/.f64 c b)
✓accuracy94.7%
(*.f64 b (sqrt.f64 (fma.f64 a (/.f64 (/.f64 (*.f64 c #s(literal -4 binary64)) b) b) #s(literal 1 binary64))))
✓accuracy94.5%
(/.f64 (+.f64 (neg.f64 b) (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 a (/.f64 (/.f64 (*.f64 c #s(literal -4 binary64)) b) b) #s(literal 1 binary64)))))) (*.f64 #s(literal 2 binary64) a))
✓accuracy91.2%
(sqrt.f64 (fma.f64 a (/.f64 (/.f64 (*.f64 c #s(literal -4 binary64)) b) b) #s(literal 1 binary64)))
✓accuracy79.2%
(+.f64 (neg.f64 b) (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 a (/.f64 (/.f64 (*.f64 c #s(literal -4 binary64)) b) b) #s(literal 1 binary64))))))
Samples
47.0ms176×0valid
23.0ms40×2valid
13.0ms32×1valid
9.0ms8×3valid
Compiler

Compiled 254 to 37 computations (85.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 66.0ms
ival-div: 22.0ms (33.1% of total)
ival-mult: 20.0ms (30.1% of total)
ival-add: 9.0ms (13.5% of total)
ival-sqrt: 6.0ms (9% of total)
ival-fabs: 4.0ms (6% of total)
adjust: 3.0ms (4.5% of total)
ival-neg: 2.0ms (3% of total)
exact: 1.0ms (1.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series51.0ms (0.4%)

Memory
9.8MiB live, 45.5MiB allocated
Counts
18 → 516
Calls
Call 1
Inputs
#<alt (/ (/ (* c -4) b) b)>
#<alt (+ (neg b) (fabs (* b (sqrt (+ (* a (/ (/ (* c -4) b) b)) 1)))))>
#<alt (* 2 a)>
#<alt (/ (+ (neg b) (fabs (* b (sqrt (+ (* a (/ (/ (* c -4) b) b)) 1))))) (* 2 a))>
#<alt (/ c b)>
#<alt (/ 1/2 (* (+ b b) a))>
#<alt (* (+ b b) a)>
#<alt (+ b b)>
#<alt (/ (/ 1 a) (+ b b))>
#<alt (/ 1 a)>
#<alt (/ (* 1/2 (fabs (* b (sqrt (+ (* -4 (/ (* a c) (* b b))) 1))))) a)>
#<alt (* 1/2 (fabs (* b (sqrt (+ (* -4 (/ (* a c) (* b b))) 1)))))>
#<alt (fabs (* b (sqrt (+ (* -4 (/ (* a c) (* b b))) 1))))>
#<alt (* b (sqrt (+ (* -4 (/ (* a c) (* b b))) 1)))>
#<alt (sqrt (+ (* a (/ (/ (* c -4) b) b)) 1))>
#<alt (* b (sqrt (+ (* a (/ (/ (* c -4) b) b)) 1)))>
#<alt (/ (* a c) (* b b))>
#<alt (sqrt (+ (* -4 (/ (* a c) (* b b))) 1))>
Outputs
#<alt (* -4 (/ c (pow b 2)))>
#<alt (* -4 (/ c (pow b 2)))>
#<alt (* -4 (/ c (pow b 2)))>
#<alt (* -4 (/ c (pow b 2)))>
#<alt (* -4 (/ c (pow b 2)))>
#<alt (* -4 (/ c (pow b 2)))>
#<alt (* -4 (/ c (pow b 2)))>
#<alt (* -4 (/ c (pow b 2)))>
#<alt (* -4 (/ c (pow b 2)))>
#<alt (* -4 (/ c (pow b 2)))>
#<alt (* -4 (/ c (pow b 2)))>
#<alt (* -4 (/ c (pow b 2)))>
#<alt (* -4 (/ c (pow b 2)))>
#<alt (* -4 (/ c (pow b 2)))>
#<alt (* -4 (/ c (pow b 2)))>
#<alt (* -4 (/ c (pow b 2)))>
#<alt (* -4 (/ c (pow b 2)))>
#<alt (* -4 (/ c (pow b 2)))>
#<alt (* -4 (/ c (pow b 2)))>
#<alt (* -4 (/ c (pow b 2)))>
#<alt (* -4 (/ c (pow b 2)))>
#<alt (* -4 (/ c (pow b 2)))>
#<alt (* -4 (/ c (pow b 2)))>
#<alt (* -4 (/ c (pow b 2)))>
#<alt (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))>
#<alt (+ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) (* -1 b))>
#<alt (+ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) (* -1 b))>
#<alt (+ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) (* -1 b))>
#<alt (* -1 b)>
#<alt (* b (- (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) 1))>
#<alt (* b (- (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) 1))>
#<alt (* b (- (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) 1))>
#<alt (* -1 b)>
#<alt (* -1 (* b (+ 1 (* -1 (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)))))>
#<alt (* -1 (* b (+ 1 (* -1 (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)))))>
#<alt (* -1 (* b (+ 1 (* -1 (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)))))>
#<alt (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)>
#<alt (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)>
#<alt (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)>
#<alt (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)>
#<alt (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)>
#<alt (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)>
#<alt (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)>
#<alt (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)>
#<alt (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)>
#<alt (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)>
#<alt (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)>
#<alt (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)>
#<alt (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)>
#<alt (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)>
#<alt (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)>
#<alt (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)>
#<alt (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)>
#<alt (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)>
#<alt (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)>
#<alt (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)>
#<alt (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)>
#<alt (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)>
#<alt (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)>
#<alt (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) 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 (* 1/2 (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) a))>
#<alt (+ (* -1/2 (/ b a)) (* 1/2 (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) a)))>
#<alt (+ (* -1/2 (/ b a)) (* 1/2 (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) a)))>
#<alt (+ (* -1/2 (/ b a)) (* 1/2 (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) a)))>
#<alt (* -1/2 (/ b a))>
#<alt (* b (- (* 1/2 (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) (* a b))) (* 1/2 (/ 1 a))))>
#<alt (* b (- (* 1/2 (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) (* a b))) (* 1/2 (/ 1 a))))>
#<alt (* b (- (* 1/2 (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) (* a b))) (* 1/2 (/ 1 a))))>
#<alt (* -1/2 (/ b a))>
#<alt (* -1 (* b (+ (* -1/2 (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) (* a b))) (* 1/2 (/ 1 a)))))>
#<alt (* -1 (* b (+ (* -1/2 (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) (* a b))) (* 1/2 (/ 1 a)))))>
#<alt (* -1 (* b (+ (* -1/2 (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) (* a b))) (* 1/2 (/ 1 a)))))>
#<alt (* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))>
#<alt (* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))>
#<alt (* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))>
#<alt (* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))>
#<alt (* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))>
#<alt (* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))>
#<alt (* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))>
#<alt (* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))>
#<alt (* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))>
#<alt (* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))>
#<alt (* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))>
#<alt (* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))>
#<alt (* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))>
#<alt (* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))>
#<alt (* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))>
#<alt (* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))>
#<alt (* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))>
#<alt (* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))>
#<alt (* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))>
#<alt (* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))>
#<alt (* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))>
#<alt (* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))>
#<alt (* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))>
#<alt (* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))>
#<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 (/ 1/4 (* a b))>
#<alt (/ 1/4 (* a b))>
#<alt (/ 1/4 (* a b))>
#<alt (/ 1/4 (* a b))>
#<alt (/ 1/4 (* a b))>
#<alt (/ 1/4 (* a b))>
#<alt (/ 1/4 (* a b))>
#<alt (/ 1/4 (* a b))>
#<alt (/ 1/4 (* a b))>
#<alt (/ 1/4 (* a b))>
#<alt (/ 1/4 (* a b))>
#<alt (/ 1/4 (* a b))>
#<alt (/ 1/4 (* a b))>
#<alt (/ 1/4 (* a b))>
#<alt (/ 1/4 (* a b))>
#<alt (/ 1/4 (* a b))>
#<alt (/ 1/4 (* a b))>
#<alt (/ 1/4 (* a b))>
#<alt (/ 1/4 (* a b))>
#<alt (/ 1/4 (* a b))>
#<alt (/ 1/4 (* a b))>
#<alt (/ 1/4 (* a b))>
#<alt (/ 1/4 (* a b))>
#<alt (/ 1/4 (* 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 b))>
#<alt (* 2 b)>
#<alt (* 2 b)>
#<alt (* 2 b)>
#<alt (* 2 b)>
#<alt (* 2 b)>
#<alt (* 2 b)>
#<alt (* 2 b)>
#<alt (* 2 b)>
#<alt (* 2 b)>
#<alt (* 2 b)>
#<alt (* 2 b)>
#<alt (* 2 b)>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (* 1/2 (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) a))>
#<alt (* 1/2 (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) a))>
#<alt (* 1/2 (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) a))>
#<alt (* 1/2 (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) a))>
#<alt (* 1/2 (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) a))>
#<alt (* 1/2 (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) a))>
#<alt (* 1/2 (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) a))>
#<alt (* 1/2 (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) a))>
#<alt (* 1/2 (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) a))>
#<alt (* 1/2 (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) a))>
#<alt (* 1/2 (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) a))>
#<alt (* 1/2 (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) a))>
#<alt (* 1/2 (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) a))>
#<alt (* 1/2 (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) a))>
#<alt (* 1/2 (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) a))>
#<alt (* 1/2 (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) a))>
#<alt (* 1/2 (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) a))>
#<alt (* 1/2 (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) a))>
#<alt (* 1/2 (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) a))>
#<alt (* 1/2 (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) a))>
#<alt (* 1/2 (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) a))>
#<alt (* 1/2 (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) a))>
#<alt (* 1/2 (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) a))>
#<alt (* 1/2 (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) a))>
#<alt (* 1/2 (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) a))>
#<alt (* 1/2 (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) a))>
#<alt (* 1/2 (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) a))>
#<alt (* 1/2 (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) a))>
#<alt (* 1/2 (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) a))>
#<alt (* 1/2 (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) a))>
#<alt (* 1/2 (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) a))>
#<alt (* 1/2 (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) a))>
#<alt (* 1/2 (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) a))>
#<alt (* 1/2 (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) a))>
#<alt (* 1/2 (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) a))>
#<alt (* 1/2 (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) a))>
#<alt (* 1/2 (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))))>
#<alt (* 1/2 (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))))>
#<alt (* 1/2 (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))))>
#<alt (* 1/2 (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))))>
#<alt (* 1/2 (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))))>
#<alt (* 1/2 (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))))>
#<alt (* 1/2 (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))))>
#<alt (* 1/2 (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))))>
#<alt (* 1/2 (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))))>
#<alt (* 1/2 (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))))>
#<alt (* 1/2 (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))))>
#<alt (* 1/2 (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))))>
#<alt (* 1/2 (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))))>
#<alt (* 1/2 (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))))>
#<alt (* 1/2 (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))))>
#<alt (* 1/2 (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))))>
#<alt (* 1/2 (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))))>
#<alt (* 1/2 (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))))>
#<alt (* 1/2 (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))))>
#<alt (* 1/2 (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))))>
#<alt (* 1/2 (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))))>
#<alt (* 1/2 (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))))>
#<alt (* 1/2 (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))))>
#<alt (* 1/2 (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))))>
#<alt (* 1/2 (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))))>
#<alt (* 1/2 (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))))>
#<alt (* 1/2 (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))))>
#<alt (* 1/2 (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))))>
#<alt (* 1/2 (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))))>
#<alt (* 1/2 (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))))>
#<alt (* 1/2 (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))))>
#<alt (* 1/2 (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))))>
#<alt (* 1/2 (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))))>
#<alt (* 1/2 (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))))>
#<alt (* 1/2 (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))))>
#<alt (* 1/2 (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))))>
#<alt (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))>
#<alt (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))>
#<alt (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))>
#<alt (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))>
#<alt (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))>
#<alt (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))>
#<alt (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))>
#<alt (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))>
#<alt (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))>
#<alt (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))>
#<alt (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))>
#<alt (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))>
#<alt (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))>
#<alt (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))>
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#<alt b>
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#<alt b>
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#<alt 1>
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#<alt (* -2 (* (sqrt (* a c)) (/ (sqrt -1) b)))>
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#<alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 3) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 5) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* b (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (/ (sqrt -1) b))))))))>
#<alt 1>
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#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 3) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 5) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ b (sqrt -4)))) (* (sqrt (/ a c)) (/ (sqrt -4) b))))))>
#<alt (* -2 (* (sqrt (* a c)) (/ (sqrt -1) b)))>
#<alt (* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* b (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (/ (sqrt -1) b))))))>
#<alt (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 3) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* b (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (/ (sqrt -1) b)))))))>
#<alt (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 3) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 5) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* b (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (/ (sqrt -1) b))))))))>
#<alt (* (sqrt (* a c)) (/ (sqrt -4) b))>
#<alt (/ (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4))) b)>
#<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))))))) b)>
#<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))))))))) b)>
#<alt 1>
#<alt (+ 1 (* -2 (/ (* a c) (pow b 2))))>
#<alt (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))>
#<alt (+ 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>
#<alt (+ 1 (* -2 (/ (* a c) (pow b 2))))>
#<alt (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))>
#<alt (+ 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))))))>
Calls

129 calls:

TimeVariablePointExpression
14.0ms
a
@0
(* 1/2 (fabs (* b (sqrt (+ (* -4 (/ (* a c) (* b b))) 1)))))
13.0ms
c
@-inf
(/ (* 1/2 (fabs (* b (sqrt (+ (* -4 (/ (* a c) (* b b))) 1))))) a)
1.0ms
a
@-inf
(/ (* 1/2 (fabs (* b (sqrt (+ (* -4 (/ (* a c) (* b b))) 1))))) a)
1.0ms
b
@0
(/ (* 1/2 (fabs (* b (sqrt (+ (* -4 (/ (* a c) (* b b))) 1))))) a)
1.0ms
a
@inf
(/ (* 1/2 (fabs (* b (sqrt (+ (* -4 (/ (* a c) (* b b))) 1))))) a)

rewrite86.0ms (0.7%)

Memory
-16.5MiB live, 103.4MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
740×*-lowering-*.f32
740×*-lowering-*.f64
698×/-lowering-/.f32
698×/-lowering-/.f64
458×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035188
1183182
01356173
Stop Event
1×iter limit
1×iter limit
1×node limit
Counts
18 → 266
Calls
Call 1
Inputs
(/ (/ (* c -4) b) b)
(+ (neg b) (fabs (* b (sqrt (+ (* a (/ (/ (* c -4) b) b)) 1)))))
(* 2 a)
(/ (+ (neg b) (fabs (* b (sqrt (+ (* a (/ (/ (* c -4) b) b)) 1))))) (* 2 a))
(/ c b)
(/ 1/2 (* (+ b b) a))
(* (+ b b) a)
(+ b b)
(/ (/ 1 a) (+ b b))
(/ 1 a)
(/ (* 1/2 (fabs (* b (sqrt (+ (* -4 (/ (* a c) (* b b))) 1))))) a)
(* 1/2 (fabs (* b (sqrt (+ (* -4 (/ (* a c) (* b b))) 1)))))
(fabs (* b (sqrt (+ (* -4 (/ (* a c) (* b b))) 1))))
(* b (sqrt (+ (* -4 (/ (* a c) (* b b))) 1)))
(sqrt (+ (* a (/ (/ (* c -4) b) b)) 1))
(* b (sqrt (+ (* a (/ (/ (* c -4) b) b)) 1)))
(/ (* a c) (* b b))
(sqrt (+ (* -4 (/ (* a c) (* b b))) 1))
Outputs
(neg.f64 (/.f64 (/.f64 (*.f64 c #s(literal -4 binary64)) b) (neg.f64 b)))
(neg.f64 (/.f64 (/.f64 (*.f64 c #s(literal 4 binary64)) b) b))
(/.f64 (*.f64 c #s(literal -4 binary64)) (*.f64 b b))
(/.f64 (/.f64 (*.f64 c #s(literal -4 binary64)) b) b)
(/.f64 (/.f64 (*.f64 c #s(literal -4 binary64)) b) (neg.f64 (neg.f64 b)))
(/.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 c #s(literal -4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 c #s(literal -4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b (/.f64 b (*.f64 c #s(literal -4 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 b (/.f64 b (*.f64 c #s(literal -4 binary64))))))
(/.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 b (neg.f64 b)))
(/.f64 (/.f64 (*.f64 c #s(literal 4 binary64)) b) (neg.f64 b))
(/.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 b (*.f64 c #s(literal -4 binary64))))
(/.f64 (*.f64 (*.f64 c #s(literal -4 binary64)) #s(literal 1 binary64)) (*.f64 b b))
(/.f64 (*.f64 (*.f64 c #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 b (neg.f64 b)))
(/.f64 (*.f64 (/.f64 (*.f64 c #s(literal -4 binary64)) b) #s(literal 1 binary64)) b)
(/.f64 (/.f64 (/.f64 (*.f64 c #s(literal 4 binary64)) b) #s(literal -1 binary64)) b)
(pow.f64 (*.f64 b (/.f64 b (*.f64 c #s(literal -4 binary64)))) #s(literal -1 binary64))
(*.f64 c (*.f64 (/.f64 #s(literal -4 binary64) b) (/.f64 #s(literal 1 binary64) b)))
(*.f64 c (/.f64 #s(literal -4 binary64) (*.f64 b b)))
(*.f64 c (/.f64 (/.f64 #s(literal -4 binary64) b) b))
(*.f64 #s(literal -4 binary64) (/.f64 c (*.f64 b b)))
(*.f64 (*.f64 c #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 b b)))
(*.f64 (*.f64 c #s(literal -4 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) b)))
(*.f64 (/.f64 (*.f64 c #s(literal -4 binary64)) b) (/.f64 #s(literal 1 binary64) b))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))
(*.f64 (/.f64 c b) (/.f64 #s(literal -4 binary64) b))
(*.f64 (/.f64 (*.f64 c #s(literal 4 binary64)) b) (/.f64 #s(literal 1 binary64) (neg.f64 b)))
(*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (*.f64 c #s(literal -4 binary64)) b))
(*.f64 (/.f64 #s(literal -4 binary64) b) (/.f64 c b))
(+.f64 (neg.f64 b) (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1 binary64))))))
(+.f64 (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1 binary64))))) (neg.f64 b))
(-.f64 (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1 binary64))))) b)
(-.f64 #s(literal 0 binary64) (-.f64 b (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1 binary64)))))))
(-.f64 (/.f64 (*.f64 b b) (-.f64 (neg.f64 b) (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1 binary64))))))) (/.f64 (*.f64 (*.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1 binary64)))) (*.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1 binary64))))) (-.f64 (neg.f64 b) (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1 binary64))))))))
(-.f64 (+.f64 (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1 binary64))))) #s(literal 0 binary64)) b)
(fma.f64 b #s(literal -1 binary64) (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1 binary64))))))
(fma.f64 #s(literal -1 binary64) b (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1 binary64))))))
(fma.f64 (fabs.f64 b) (fabs.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1 binary64)))) (neg.f64 b))
(fma.f64 (fabs.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1 binary64)))) (fabs.f64 b) (neg.f64 b))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b (*.f64 (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1 binary64))))) (-.f64 (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1 binary64))))) (neg.f64 b)))) (fma.f64 (neg.f64 b) (*.f64 b b) (*.f64 (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1 binary64))))) (*.f64 (*.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1 binary64)))) (*.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1 binary64)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 b) (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1 binary64)))))) (-.f64 (*.f64 b b) (*.f64 (*.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1 binary64)))) (*.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1 binary64))))))))
(/.f64 (fma.f64 (neg.f64 b) (*.f64 b b) (*.f64 (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1 binary64))))) (*.f64 (*.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1 binary64)))) (*.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1 binary64))))))) (fma.f64 b b (*.f64 (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1 binary64))))) (-.f64 (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1 binary64))))) (neg.f64 b)))))
(/.f64 (fma.f64 (neg.f64 b) (*.f64 b b) (*.f64 (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1 binary64))))) (*.f64 (*.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1 binary64)))) (*.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1 binary64))))))) (fma.f64 (*.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1 binary64)))) (*.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1 binary64)))) (-.f64 (*.f64 b b) (neg.f64 (*.f64 b (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1 binary64))))))))))
(/.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1 binary64)))) (*.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1 binary64)))))) (-.f64 (neg.f64 b) (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (neg.f64 b) (*.f64 b b) (*.f64 (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1 binary64))))) (*.f64 (*.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1 binary64)))) (*.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1 binary64)))))))) (neg.f64 (fma.f64 b b (*.f64 (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1 binary64))))) (-.f64 (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1 binary64))))) (neg.f64 b))))))
(/.f64 (neg.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1 binary64)))) (*.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1 binary64))))))) (neg.f64 (-.f64 (neg.f64 b) (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1 binary64))))))))
(/.f64 (-.f64 (*.f64 (*.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1 binary64)))) (*.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1 binary64))))) (*.f64 b b)) (-.f64 (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1 binary64))))) (neg.f64 b)))
(*.f64 (fma.f64 (neg.f64 b) (*.f64 b b) (*.f64 (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1 binary64))))) (*.f64 (*.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1 binary64)))) (*.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1 binary64))))))) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1 binary64))))) (-.f64 (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1 binary64))))) (neg.f64 b))))))
(*.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1 binary64)))) (*.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 b) (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1 binary64))))))))
(*.f64 a #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) a)
(neg.f64 (/.f64 (-.f64 (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1 binary64))))) b) (*.f64 a #s(literal -2 binary64))))
(neg.f64 (/.f64 (neg.f64 (-.f64 (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1 binary64))))) b)) (*.f64 a #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1 binary64))))) b)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1 binary64))))) b)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (-.f64 (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1 binary64))))) b) #s(literal 1/2 binary64))))
(/.f64 (-.f64 (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1 binary64))))) b) (*.f64 a #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1 binary64))))) b))))
(/.f64 (neg.f64 (-.f64 (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1 binary64))))) b)) (*.f64 a #s(literal -2 binary64)))
(/.f64 (fma.f64 (neg.f64 b) (*.f64 b b) (*.f64 (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1 binary64))))) (*.f64 (*.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1 binary64)))) (*.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1 binary64))))))) (*.f64 (*.f64 a #s(literal 2 binary64)) (fma.f64 b b (*.f64 (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1 binary64))))) (-.f64 (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1 binary64))))) (neg.f64 b))))))
(/.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1 binary64)))) (*.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1 binary64)))))) (*.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 (neg.f64 b) (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1 binary64))))))))
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(exp.f64 (*.f64 (log1p.f64 (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (*.f64 b b))) #s(literal 1/2 binary64)))
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1 binary64)))
(/.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (*.f64 b b)) (/.f64 (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (*.f64 #s(literal -4 binary64) (*.f64 c a))) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 #s(literal 16 binary64) (*.f64 (/.f64 (*.f64 c a) (*.f64 b b)) (/.f64 (*.f64 c a) (*.f64 b b))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (*.f64 b b))))))
(/.f64 (sqrt.f64 (fma.f64 #s(literal 16 binary64) (*.f64 (/.f64 (*.f64 c a) (*.f64 b b)) (/.f64 (*.f64 c a) (*.f64 b b))) #s(literal -1 binary64))) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) (/.f64 c (*.f64 b b)) #s(literal -1 binary64))))
(pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(*.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1 binary64)) #s(literal 1/4 binary64)))
(*.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1 binary64))) b)
(neg.f64 (/.f64 (*.f64 c a) (*.f64 b (neg.f64 b))))
(neg.f64 (/.f64 (*.f64 c (neg.f64 a)) (*.f64 b b)))
(/.f64 a (*.f64 b (/.f64 b c)))
(/.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 c a))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b (/.f64 b (*.f64 c a))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 (*.f64 c a) b)))
(/.f64 (*.f64 c a) (*.f64 b b))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 b (/.f64 b (*.f64 c a)))))
(/.f64 (*.f64 c (neg.f64 a)) (*.f64 b (neg.f64 b)))
(/.f64 (/.f64 a b) (/.f64 b c))
(/.f64 (/.f64 (*.f64 c a) b) b)
(/.f64 (neg.f64 (*.f64 c (neg.f64 a))) (*.f64 b b))
(/.f64 (neg.f64 (/.f64 (*.f64 c a) b)) (neg.f64 b))
(/.f64 (*.f64 (/.f64 a b) c) b)
(/.f64 (*.f64 (*.f64 c a) #s(literal 1 binary64)) (*.f64 b b))
(/.f64 (*.f64 (/.f64 a b) #s(literal 1 binary64)) (/.f64 b c))
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(*.f64 (*.f64 c a) (/.f64 #s(literal 1 binary64) (*.f64 b b)))
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(*.f64 (/.f64 a b) (/.f64 c b))
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(*.f64 (/.f64 (*.f64 c a) b) (/.f64 #s(literal 1 binary64) b))
(*.f64 (/.f64 c (*.f64 b b)) a)
(*.f64 (*.f64 (/.f64 a b) c) (/.f64 #s(literal 1 binary64) b))
(exp.f64 (*.f64 (log1p.f64 (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (*.f64 b b))) #s(literal 1/2 binary64)))
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1 binary64)))
(/.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (*.f64 b b)) (/.f64 (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (*.f64 #s(literal -4 binary64) (*.f64 c a))) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 #s(literal 16 binary64) (*.f64 (/.f64 (*.f64 c a) (*.f64 b b)) (/.f64 (*.f64 c a) (*.f64 b b))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (*.f64 b b))))))
(/.f64 (sqrt.f64 (fma.f64 #s(literal 16 binary64) (*.f64 (/.f64 (*.f64 c a) (*.f64 b b)) (/.f64 (*.f64 c a) (*.f64 b b))) #s(literal -1 binary64))) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) (/.f64 c (*.f64 b b)) #s(literal -1 binary64))))
(pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(*.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1 binary64)) #s(literal 1/4 binary64)))

simplify819.0ms (6.7%)

Memory
-0.5MiB live, 925.3MiB allocated
Algorithm
1×egg-herbie
Rules
21 480×accelerator-lowering-fma.f32
21 480×accelerator-lowering-fma.f64
6 604×*-lowering-*.f32
6 604×*-lowering-*.f64
5 332×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03828419
112088379
242378245
080377847
Stop Event
1×iter limit
1×node limit
Counts
516 → 516
Calls
Call 1
Inputs
(* -4 (/ c (pow b 2)))
(* -4 (/ c (pow b 2)))
(* -4 (/ c (pow b 2)))
(* -4 (/ c (pow b 2)))
(* -4 (/ c (pow b 2)))
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(* -4 (/ c (pow b 2)))
(* -4 (/ c (pow b 2)))
(fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
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(* 2 a)
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(* 1/2 (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))))
(* 1/2 (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))))
(* 1/2 (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))))
(* 1/2 (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))))
(* 1/2 (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))))
(* 1/2 (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))))
(* 1/2 (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))))
(fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
(fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
(fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
(fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
(fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
(fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
(fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
(fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
(fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
(fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
(fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
(fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
(fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
(fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
(fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
(fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
(fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
(fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
(fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
(fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
(fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
(fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
(fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
(fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
(fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
(fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
(fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
(fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
(fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
(fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
(fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
(fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
(fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
(fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
(fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
(fabs (* b (sqrt (+ 1 (* -4 (/ (* 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)))))))
b
(* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 1)))
(* -1 (* b (- (+ (* 2 (/ (* a c) (pow b 2))) (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))) 1)))
(* -1 (* b (- (+ (* 2 (/ (* a c) (pow b 2))) (+ (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))))) 1)))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
1
(+ 1 (* -2 (/ (* a c) (pow b 2))))
(+ 1 (* a (+ (* -2 (/ c (pow b 2))) (* -2 (/ (* a (pow c 2)) (pow b 4))))))
(+ 1 (* a (+ (* -2 (/ c (pow b 2))) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 6))) (* -2 (/ (pow c 2) (pow b 4))))))))
(* (sqrt (* a c)) (/ (sqrt -4) b))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* (sqrt (/ c a)) (/ (sqrt -4) b))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 3) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* (sqrt (/ c a)) (/ (sqrt -4) b)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 3) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 5) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* (sqrt (/ c a)) (/ (sqrt -4) b))))))
(* -2 (* (sqrt (* a c)) (/ (sqrt -1) b)))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* b (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (/ (sqrt -1) b))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 3) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* b (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (/ (sqrt -1) b)))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 3) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 5) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* b (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (/ (sqrt -1) b))))))))
1
(+ 1 (* -2 (/ (* a c) (pow b 2))))
(+ 1 (* c (+ (* -2 (/ a (pow b 2))) (* -2 (/ (* (pow a 2) c) (pow b 4))))))
(+ 1 (* c (+ (* -2 (/ a (pow b 2))) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 6))) (* -2 (/ (pow a 2) (pow b 4))))))))
(* (sqrt (* a c)) (/ (sqrt -4) b))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ b (sqrt -4)))) (* (sqrt (/ a c)) (/ (sqrt -4) b))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 3) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ b (sqrt -4)))) (* (sqrt (/ a c)) (/ (sqrt -4) b)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 3) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 5) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ b (sqrt -4)))) (* (sqrt (/ a c)) (/ (sqrt -4) b))))))
(* -2 (* (sqrt (* a c)) (/ (sqrt -1) b)))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* b (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (/ (sqrt -1) b))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 3) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* b (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (/ (sqrt -1) b)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 3) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 5) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* b (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (/ (sqrt -1) b))))))))
(* (sqrt (* a c)) (/ (sqrt -4) b))
(/ (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4))) b)
(/ (+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))))) b)
(/ (+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5))))))))) b)
1
(+ 1 (* -2 (/ (* a c) (pow b 2))))
(+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))
(+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
1
(+ 1 (* -2 (/ (* a c) (pow b 2))))
(+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))
(+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* (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)))))))
b
(* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 1)))
(* -1 (* b (- (+ (* 2 (/ (* a c) (pow b 2))) (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))) 1)))
(* -1 (* b (- (+ (* 2 (/ (* a c) (pow b 2))) (+ (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))))) 1)))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
1
(+ 1 (* -2 (/ (* a c) (pow b 2))))
(+ 1 (* a (+ (* -2 (/ c (pow b 2))) (* -2 (/ (* a (pow c 2)) (pow b 4))))))
(+ 1 (* a (+ (* -2 (/ c (pow b 2))) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 6))) (* -2 (/ (pow c 2) (pow b 4))))))))
(* (sqrt (* a c)) (/ (sqrt -4) b))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* (sqrt (/ c a)) (/ (sqrt -4) b))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 3) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* (sqrt (/ c a)) (/ (sqrt -4) b)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 3) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 5) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* (sqrt (/ c a)) (/ (sqrt -4) b))))))
(* -2 (* (sqrt (* a c)) (/ (sqrt -1) b)))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* b (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (/ (sqrt -1) b))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 3) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* b (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (/ (sqrt -1) b)))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 3) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 5) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* b (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (/ (sqrt -1) b))))))))
1
(+ 1 (* -2 (/ (* a c) (pow b 2))))
(+ 1 (* c (+ (* -2 (/ a (pow b 2))) (* -2 (/ (* (pow a 2) c) (pow b 4))))))
(+ 1 (* c (+ (* -2 (/ a (pow b 2))) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 6))) (* -2 (/ (pow a 2) (pow b 4))))))))
(* (sqrt (* a c)) (/ (sqrt -4) b))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ b (sqrt -4)))) (* (sqrt (/ a c)) (/ (sqrt -4) b))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 3) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ b (sqrt -4)))) (* (sqrt (/ a c)) (/ (sqrt -4) b)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 3) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 5) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ b (sqrt -4)))) (* (sqrt (/ a c)) (/ (sqrt -4) b))))))
(* -2 (* (sqrt (* a c)) (/ (sqrt -1) b)))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* b (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (/ (sqrt -1) b))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 3) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* b (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (/ (sqrt -1) b)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 3) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 5) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* b (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (/ (sqrt -1) b))))))))
(* (sqrt (* a c)) (/ (sqrt -4) b))
(/ (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4))) b)
(/ (+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))))) b)
(/ (+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5))))))))) b)
1
(+ 1 (* -2 (/ (* a c) (pow b 2))))
(+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))
(+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
1
(+ 1 (* -2 (/ (* a c) (pow b 2))))
(+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))
(+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
Outputs
(* -4 (/ c (pow b 2)))
(*.f64 #s(literal -4 binary64) (/.f64 c (*.f64 b b)))
(* -4 (/ c (pow b 2)))
(*.f64 #s(literal -4 binary64) (/.f64 c (*.f64 b b)))
(* -4 (/ c (pow b 2)))
(*.f64 #s(literal -4 binary64) (/.f64 c (*.f64 b b)))
(* -4 (/ c (pow b 2)))
(*.f64 #s(literal -4 binary64) (/.f64 c (*.f64 b b)))
(* -4 (/ c (pow b 2)))
(*.f64 #s(literal -4 binary64) (/.f64 c (*.f64 b b)))
(* -4 (/ c (pow b 2)))
(*.f64 #s(literal -4 binary64) (/.f64 c (*.f64 b b)))
(* -4 (/ c (pow b 2)))
(*.f64 #s(literal -4 binary64) (/.f64 c (*.f64 b b)))
(* -4 (/ c (pow b 2)))
(*.f64 #s(literal -4 binary64) (/.f64 c (*.f64 b b)))
(* -4 (/ c (pow b 2)))
(*.f64 #s(literal -4 binary64) (/.f64 c (*.f64 b b)))
(* -4 (/ c (pow b 2)))
(*.f64 #s(literal -4 binary64) (/.f64 c (*.f64 b b)))
(* -4 (/ c (pow b 2)))
(*.f64 #s(literal -4 binary64) (/.f64 c (*.f64 b b)))
(* -4 (/ c (pow b 2)))
(*.f64 #s(literal -4 binary64) (/.f64 c (*.f64 b b)))
(* -4 (/ c (pow b 2)))
(*.f64 #s(literal -4 binary64) (/.f64 c (*.f64 b b)))
(* -4 (/ c (pow b 2)))
(*.f64 #s(literal -4 binary64) (/.f64 c (*.f64 b b)))
(* -4 (/ c (pow b 2)))
(*.f64 #s(literal -4 binary64) (/.f64 c (*.f64 b b)))
(* -4 (/ c (pow b 2)))
(*.f64 #s(literal -4 binary64) (/.f64 c (*.f64 b b)))
(* -4 (/ c (pow b 2)))
(*.f64 #s(literal -4 binary64) (/.f64 c (*.f64 b b)))
(* -4 (/ c (pow b 2)))
(*.f64 #s(literal -4 binary64) (/.f64 c (*.f64 b b)))
(* -4 (/ c (pow b 2)))
(*.f64 #s(literal -4 binary64) (/.f64 c (*.f64 b b)))
(* -4 (/ c (pow b 2)))
(*.f64 #s(literal -4 binary64) (/.f64 c (*.f64 b b)))
(* -4 (/ c (pow b 2)))
(*.f64 #s(literal -4 binary64) (/.f64 c (*.f64 b b)))
(* -4 (/ c (pow b 2)))
(*.f64 #s(literal -4 binary64) (/.f64 c (*.f64 b b)))
(* -4 (/ c (pow b 2)))
(*.f64 #s(literal -4 binary64) (/.f64 c (*.f64 b b)))
(* -4 (/ c (pow b 2)))
(*.f64 #s(literal -4 binary64) (/.f64 c (*.f64 b b)))
(fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
(fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) (/.f64 c (*.f64 b b))) #s(literal 1 binary64)))))
(+ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) (* -1 b))
(-.f64 (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) (/.f64 c (*.f64 b b))) #s(literal 1 binary64))))) b)
(+ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) (* -1 b))
(-.f64 (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) (/.f64 c (*.f64 b b))) #s(literal 1 binary64))))) b)
(+ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) (* -1 b))
(-.f64 (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) (/.f64 c (*.f64 b b))) #s(literal 1 binary64))))) b)
(* -1 b)
(neg.f64 b)
(* b (- (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) 1))
(fma.f64 b (/.f64 (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) (/.f64 c (*.f64 b b))) #s(literal 1 binary64))))) b) (neg.f64 b))
(* b (- (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) 1))
(fma.f64 b (/.f64 (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) (/.f64 c (*.f64 b b))) #s(literal 1 binary64))))) b) (neg.f64 b))
(* b (- (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) 1))
(fma.f64 b (/.f64 (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) (/.f64 c (*.f64 b b))) #s(literal 1 binary64))))) b) (neg.f64 b))
(* -1 b)
(neg.f64 b)
(* -1 (* b (+ 1 (* -1 (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)))))
(fma.f64 b (/.f64 (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) (/.f64 c (*.f64 b b))) #s(literal 1 binary64))))) b) (neg.f64 b))
(* -1 (* b (+ 1 (* -1 (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)))))
(fma.f64 b (/.f64 (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) (/.f64 c (*.f64 b b))) #s(literal 1 binary64))))) b) (neg.f64 b))
(* -1 (* b (+ 1 (* -1 (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)))))
(fma.f64 b (/.f64 (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) (/.f64 c (*.f64 b b))) #s(literal 1 binary64))))) b) (neg.f64 b))
(- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)
(-.f64 (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) (/.f64 c (*.f64 b b))) #s(literal 1 binary64))))) b)
(- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)
(-.f64 (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) (/.f64 c (*.f64 b b))) #s(literal 1 binary64))))) b)
(- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)
(-.f64 (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) (/.f64 c (*.f64 b b))) #s(literal 1 binary64))))) b)
(- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)
(-.f64 (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) (/.f64 c (*.f64 b b))) #s(literal 1 binary64))))) b)
(- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)
(-.f64 (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) (/.f64 c (*.f64 b b))) #s(literal 1 binary64))))) b)
(- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)
(-.f64 (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) (/.f64 c (*.f64 b b))) #s(literal 1 binary64))))) b)
(- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)
(-.f64 (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) (/.f64 c (*.f64 b b))) #s(literal 1 binary64))))) b)
(- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)
(-.f64 (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) (/.f64 c (*.f64 b b))) #s(literal 1 binary64))))) b)
(- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)
(-.f64 (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) (/.f64 c (*.f64 b b))) #s(literal 1 binary64))))) b)
(- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)
(-.f64 (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) (/.f64 c (*.f64 b b))) #s(literal 1 binary64))))) b)
(- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)
(-.f64 (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) (/.f64 c (*.f64 b b))) #s(literal 1 binary64))))) b)
(- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)
(-.f64 (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) (/.f64 c (*.f64 b b))) #s(literal 1 binary64))))) b)
(- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)
(-.f64 (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) (/.f64 c (*.f64 b b))) #s(literal 1 binary64))))) b)
(- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)
(-.f64 (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) (/.f64 c (*.f64 b b))) #s(literal 1 binary64))))) b)
(- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)
(-.f64 (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) (/.f64 c (*.f64 b b))) #s(literal 1 binary64))))) b)
(- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)
(-.f64 (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) (/.f64 c (*.f64 b b))) #s(literal 1 binary64))))) b)
(- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)
(-.f64 (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) (/.f64 c (*.f64 b b))) #s(literal 1 binary64))))) b)
(- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)
(-.f64 (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) (/.f64 c (*.f64 b b))) #s(literal 1 binary64))))) b)
(- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)
(-.f64 (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) (/.f64 c (*.f64 b b))) #s(literal 1 binary64))))) b)
(- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)
(-.f64 (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) (/.f64 c (*.f64 b b))) #s(literal 1 binary64))))) b)
(- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)
(-.f64 (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) (/.f64 c (*.f64 b b))) #s(literal 1 binary64))))) b)
(- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)
(-.f64 (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) (/.f64 c (*.f64 b b))) #s(literal 1 binary64))))) b)
(- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)
(-.f64 (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) (/.f64 c (*.f64 b b))) #s(literal 1 binary64))))) b)
(- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b)
(-.f64 (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) (/.f64 c (*.f64 b b))) #s(literal 1 binary64))))) b)
(* 2 a)
(*.f64 #s(literal 2 binary64) a)
(* 2 a)
(*.f64 #s(literal 2 binary64) a)
(* 2 a)
(*.f64 #s(literal 2 binary64) a)
(* 2 a)
(*.f64 #s(literal 2 binary64) a)
(* 2 a)
(*.f64 #s(literal 2 binary64) a)
(* 2 a)
(*.f64 #s(literal 2 binary64) a)
(* 2 a)
(*.f64 #s(literal 2 binary64) a)
(* 2 a)
(*.f64 #s(literal 2 binary64) a)
(* 2 a)
(*.f64 #s(literal 2 binary64) a)
(* 2 a)
(*.f64 #s(literal 2 binary64) a)
(* 2 a)
(*.f64 #s(literal 2 binary64) a)
(* 2 a)
(*.f64 #s(literal 2 binary64) a)
(* 1/2 (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) a))
(*.f64 (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) (/.f64 c (*.f64 b b))) #s(literal 1 binary64))))) (/.f64 #s(literal 1/2 binary64) a))
(+ (* -1/2 (/ b a)) (* 1/2 (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) a)))
(fma.f64 (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) (/.f64 c (*.f64 b b))) #s(literal 1 binary64))))) (/.f64 #s(literal 1/2 binary64) a) (/.f64 (*.f64 b #s(literal -1/2 binary64)) a))
(+ (* -1/2 (/ b a)) (* 1/2 (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) a)))
(fma.f64 (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) (/.f64 c (*.f64 b b))) #s(literal 1 binary64))))) (/.f64 #s(literal 1/2 binary64) a) (/.f64 (*.f64 b #s(literal -1/2 binary64)) a))
(+ (* -1/2 (/ b a)) (* 1/2 (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) a)))
(fma.f64 (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) (/.f64 c (*.f64 b b))) #s(literal 1 binary64))))) (/.f64 #s(literal 1/2 binary64) a) (/.f64 (*.f64 b #s(literal -1/2 binary64)) a))
(* -1/2 (/ b a))
(/.f64 (*.f64 b #s(literal -1/2 binary64)) a)
(* b (- (* 1/2 (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) (* a b))) (* 1/2 (/ 1 a))))
(*.f64 b (*.f64 (/.f64 #s(literal 1/2 binary64) a) (fma.f64 (fabs.f64 b) (/.f64 (fabs.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) (/.f64 c (*.f64 b b))) #s(literal 1 binary64)))) b) #s(literal -1 binary64))))
(* b (- (* 1/2 (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) (* a b))) (* 1/2 (/ 1 a))))
(*.f64 b (*.f64 (/.f64 #s(literal 1/2 binary64) a) (fma.f64 (fabs.f64 b) (/.f64 (fabs.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) (/.f64 c (*.f64 b b))) #s(literal 1 binary64)))) b) #s(literal -1 binary64))))
(* b (- (* 1/2 (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) (* a b))) (* 1/2 (/ 1 a))))
(*.f64 b (*.f64 (/.f64 #s(literal 1/2 binary64) a) (fma.f64 (fabs.f64 b) (/.f64 (fabs.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) (/.f64 c (*.f64 b b))) #s(literal 1 binary64)))) b) #s(literal -1 binary64))))
(* -1/2 (/ b a))
(/.f64 (*.f64 b #s(literal -1/2 binary64)) a)
(* -1 (* b (+ (* -1/2 (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) (* a b))) (* 1/2 (/ 1 a)))))
(*.f64 (neg.f64 b) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) (/.f64 c (*.f64 b b))) #s(literal 1 binary64))))) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) a)))
(* -1 (* b (+ (* -1/2 (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) (* a b))) (* 1/2 (/ 1 a)))))
(*.f64 (neg.f64 b) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) (/.f64 c (*.f64 b b))) #s(literal 1 binary64))))) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) a)))
(* -1 (* b (+ (* -1/2 (/ (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) (* a b))) (* 1/2 (/ 1 a)))))
(*.f64 (neg.f64 b) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) (/.f64 c (*.f64 b b))) #s(literal 1 binary64))))) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) a)))
(* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))
(/.f64 (*.f64 (-.f64 (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) (/.f64 c (*.f64 b b))) #s(literal 1 binary64))))) b) #s(literal 1/2 binary64)) a)
(* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))
(/.f64 (*.f64 (-.f64 (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) (/.f64 c (*.f64 b b))) #s(literal 1 binary64))))) b) #s(literal 1/2 binary64)) a)
(* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))
(/.f64 (*.f64 (-.f64 (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) (/.f64 c (*.f64 b b))) #s(literal 1 binary64))))) b) #s(literal 1/2 binary64)) a)
(* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))
(/.f64 (*.f64 (-.f64 (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) (/.f64 c (*.f64 b b))) #s(literal 1 binary64))))) b) #s(literal 1/2 binary64)) a)
(* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))
(/.f64 (*.f64 (-.f64 (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) (/.f64 c (*.f64 b b))) #s(literal 1 binary64))))) b) #s(literal 1/2 binary64)) a)
(* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))
(/.f64 (*.f64 (-.f64 (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) (/.f64 c (*.f64 b b))) #s(literal 1 binary64))))) b) #s(literal 1/2 binary64)) a)
(* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))
(/.f64 (*.f64 (-.f64 (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) (/.f64 c (*.f64 b b))) #s(literal 1 binary64))))) b) #s(literal 1/2 binary64)) a)
(* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))
(/.f64 (*.f64 (-.f64 (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) (/.f64 c (*.f64 b b))) #s(literal 1 binary64))))) b) #s(literal 1/2 binary64)) a)
(* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))
(/.f64 (*.f64 (-.f64 (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) (/.f64 c (*.f64 b b))) #s(literal 1 binary64))))) b) #s(literal 1/2 binary64)) a)
(* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))
(/.f64 (*.f64 (-.f64 (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) (/.f64 c (*.f64 b b))) #s(literal 1 binary64))))) b) #s(literal 1/2 binary64)) a)
(* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))
(/.f64 (*.f64 (-.f64 (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) (/.f64 c (*.f64 b b))) #s(literal 1 binary64))))) b) #s(literal 1/2 binary64)) a)
(* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))
(/.f64 (*.f64 (-.f64 (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) (/.f64 c (*.f64 b b))) #s(literal 1 binary64))))) b) #s(literal 1/2 binary64)) a)
(* 1/2 (/ (- (fabs (* b (sqrt (+ 1 (* -4 (/ (* a c) (pow b 2))))))) b) a))
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#s(literal 1 binary64)
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(/ (+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))))) b)
(/.f64 (fma.f64 (*.f64 b b) (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 b b) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c)))))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/32 binary64))) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))) b)
(/ (+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5))))))))) b)
(/.f64 (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (*.f64 b b) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 5 binary64)))))) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64))) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))))) (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 c a)))) (sqrt.f64 #s(literal -4 binary64)))) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))) b)
1
#s(literal 1 binary64)
(+ 1 (* -2 (/ (* a c) (pow b 2))))
(fma.f64 (/.f64 c (*.f64 b b)) (*.f64 a #s(literal -2 binary64)) #s(literal 1 binary64))
(+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))
(fma.f64 (*.f64 a #s(literal -2 binary64)) (fma.f64 a (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b b))) (/.f64 c (*.f64 b b))) #s(literal 1 binary64))
(+ 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))))))
(fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 6 binary64))) (fma.f64 (*.f64 a #s(literal -2 binary64)) (fma.f64 a (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b b))) (/.f64 c (*.f64 b b))) #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -2 (/ (* a c) (pow b 2))))
(fma.f64 (/.f64 c (*.f64 b b)) (*.f64 a #s(literal -2 binary64)) #s(literal 1 binary64))
(+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))
(fma.f64 (*.f64 a #s(literal -2 binary64)) (fma.f64 a (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b b))) (/.f64 c (*.f64 b b))) #s(literal 1 binary64))
(+ 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))))))
(fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 6 binary64))) (fma.f64 (*.f64 a #s(literal -2 binary64)) (fma.f64 a (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b b))) (/.f64 c (*.f64 b b))) #s(literal 1 binary64)))

eval139.0ms (1.1%)

Memory
22.6MiB live, 171.3MiB allocated
Compiler

Compiled 16 400 to 1 569 computations (90.4% saved)

prune92.0ms (0.8%)

Memory
-12.4MiB live, 224.4MiB allocated
Pruning

38 alts after pruning (33 fresh and 5 done)

PrunedKeptTotal
New8148822
Fresh22527
Picked325
Done033
Total81938857
Accuracy
96.7%
Counts
857 → 38
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.6%
(fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (/.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (*.f64 a #s(literal -2 binary64))))
13.8%
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 a (*.f64 c (/.f64 #s(literal -4 binary64) (*.f64 b b))) #s(literal 1 binary64))) b (neg.f64 b)) (*.f64 #s(literal 2 binary64) a))
23.5%
(/.f64 (fma.f64 b b (fma.f64 (*.f64 #s(literal 4 binary64) a) c (*.f64 b b))) (*.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))))
2.3%
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1/2 binary64) b))
15.1%
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) (+.f64 b b)))
4.3%
(/.f64 (/.f64 #s(literal 1/2 binary64) a) b)
5.3%
(/.f64 (/.f64 #s(literal -1 binary64) a) (+.f64 b b))
25.1%
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a b)) (*.f64 a a))
33.7%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))
✓56.4%
(/.f64 (+.f64 (neg.f64 b) (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 a (/.f64 (/.f64 (*.f64 c #s(literal -4 binary64)) b) b) #s(literal 1 binary64)))))) (*.f64 #s(literal 2 binary64) a))
15.1%
(/.f64 (+.f64 b b) (neg.f64 a))
2.3%
(/.f64 (+.f64 b b) a)
24.5%
(/.f64 (*.f64 (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1 binary64))))) #s(literal 1/2 binary64)) a)
28.5%
(/.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 (/.f64 c b) (/.f64 a b)) #s(literal 1 binary64)))))) a)
28.7%
(/.f64 (neg.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c)) b)
2.0%
(/.f64 (exp.f64 (*.f64 (log.f64 a) #s(literal -1 binary64))) (+.f64 b b))
33.7%
(/.f64 c (neg.f64 b))
✓8.1%
(/.f64 c b)
✓38.0%
(/.f64 b (neg.f64 a))
✓2.3%
(/.f64 b a)
26.0%
(/.f64 #s(literal 1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))))))
26.0%
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))))) a))
4.5%
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a (+.f64 b b)) #s(literal 2 binary64)))
4.5%
(/.f64 #s(literal 1/2 binary64) (*.f64 b a))
5.5%
(/.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (*.f64 a (+.f64 b b))))
4.5%
(/.f64 #s(literal 1/4 binary64) (*.f64 b a))
5.5%
(/.f64 #s(literal -1/2 binary64) (*.f64 a (+.f64 b b)))
37.9%
(/.f64 #s(literal -1 binary64) (/.f64 a b))
5.5%
(/.f64 #s(literal -1 binary64) (*.f64 a (+.f64 b b)))
38.1%
(-.f64 (/.f64 c b) (/.f64 b a))
4.3%
(*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1/2 binary64) a))
2.3%
(*.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 b b))
✓51.2%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
35.2%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (*.f64 (*.f64 b b) (fma.f64 #s(literal -4 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal 1 binary64))))))
33.7%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))))
15.1%
(*.f64 (/.f64 #s(literal -1 binary64) a) (+.f64 b b))
33.5%
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) b) #s(literal 1/2 binary64))) c)
2.3%
(exp.f64 (*.f64 (log.f64 (*.f64 a (+.f64 b b))) #s(literal -1 binary64)))
Compiler

Compiled 1 191 to 569 computations (52.2% saved)

regimes72.0ms (0.6%)

Memory
31.4MiB live, 149.1MiB allocated
Counts
61 → 3
Calls
Call 1
Inputs
(/.f64 b a)
(/.f64 c b)
(/.f64 b (neg.f64 a))
(/.f64 c (neg.f64 b))
(/.f64 (+.f64 b b) a)
(*.f64 (/.f64 #s(literal -1 binary64) a) b)
(/.f64 #s(literal 1/4 binary64) (*.f64 b a))
(/.f64 #s(literal 1/2 binary64) (*.f64 b a))
(/.f64 (+.f64 b b) (neg.f64 a))
(*.f64 (/.f64 #s(literal -1 binary64) a) (+.f64 b b))
(*.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 b b))
(/.f64 #s(literal -1 binary64) (*.f64 a (+.f64 b b)))
(/.f64 #s(literal -1/2 binary64) (*.f64 a (+.f64 b b)))
(/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 b b) a))
(/.f64 #s(literal 1 binary64) (*.f64 a (+.f64 b b)))
(/.f64 #s(literal -1 binary64) (/.f64 a b))
(/.f64 (/.f64 #s(literal 1/2 binary64) a) b)
(/.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (*.f64 a (+.f64 b b))))
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a (+.f64 b b)) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a b)) (*.f64 a a))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 #s(literal 1/2 binary64) (/.f64 a (+.f64 b b)))
(/.f64 (/.f64 #s(literal -1 binary64) a) (+.f64 b b))
(/.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 b b))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) b) #s(literal 1/2 binary64))) c)
(*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1/2 binary64) a))
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b #s(literal 1/2 binary64)) c))
(*.f64 (/.f64 (*.f64 a #s(literal -2 binary64)) (*.f64 a b)) (*.f64 c #s(literal 1/2 binary64)))
(/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) (*.f64 (*.f64 a #s(literal 2 binary64)) b))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1/2 binary64) b))
(/.f64 b (*.f64 (neg.f64 (*.f64 a a)) (/.f64 #s(literal 1 binary64) a)))
(fma.f64 b (/.f64 c (*.f64 b b)) (/.f64 b (neg.f64 a)))
(*.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a #s(literal 2 binary64)) b)))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) (+.f64 b b)))
(/.f64 (*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b)) (*.f64 #s(literal 2 binary64) a))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))))
(neg.f64 (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) b))
(/.f64 (neg.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c)) b)
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
(/.f64 #s(literal 1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c 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))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))))) a))
(/.f64 #s(literal 1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) a))
(/.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 a c) (*.f64 b b)) #s(literal 1 binary64)))))) a)
(/.f64 (*.f64 (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1 binary64))))) #s(literal 1/2 binary64)) a)
(-.f64 (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal 2 binary64))) (/.f64 b (*.f64 a #s(literal 2 binary64))))
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 a (*.f64 c (/.f64 #s(literal -4 binary64) (*.f64 b b))) #s(literal 1 binary64))) b (neg.f64 b)) (*.f64 #s(literal 2 binary64) a))
(fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (/.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (*.f64 a #s(literal -2 binary64))))
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 a (/.f64 c (*.f64 (*.f64 b b) #s(literal -1/4 binary64))) #s(literal 1 binary64))) (fabs.f64 b) (neg.f64 b)) (*.f64 a #s(literal 2 binary64)))
(/.f64 (+.f64 (neg.f64 b) (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 a (*.f64 c (/.f64 #s(literal -4 binary64) (*.f64 b b))) #s(literal 1 binary64)))))) (*.f64 #s(literal 2 binary64) a))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (*.f64 (*.f64 b b) (fma.f64 #s(literal -4 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal 1 binary64))))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 (/.f64 c b) (/.f64 a b)) #s(literal 1 binary64)))))) a)
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 (*.f64 b b) (fma.f64 (*.f64 a c) (/.f64 #s(literal -4 binary64) (*.f64 b b)) #s(literal 1 binary64))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (+.f64 (neg.f64 b) (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 a (/.f64 (/.f64 (*.f64 c #s(literal -4 binary64)) b) b) #s(literal 1 binary64)))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (fma.f64 b b (fma.f64 (*.f64 #s(literal 4 binary64) a) c (*.f64 b b))) (*.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))))
(/.f64 (+.f64 (neg.f64 b) (/.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a))
(exp.f64 (*.f64 (log.f64 (*.f64 a (+.f64 b b))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 a (neg.f64 b))) #s(literal -1 binary64)))
(/.f64 (exp.f64 (*.f64 (log.f64 a) #s(literal -1 binary64))) (+.f64 b b))
Outputs
(/.f64 (+.f64 (neg.f64 b) (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 a (/.f64 (/.f64 (*.f64 c #s(literal -4 binary64)) b) b) #s(literal 1 binary64)))))) (*.f64 #s(literal 2 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))
(/.f64 c (neg.f64 b))
Calls

4 calls:

19.0ms
a
17.0ms
(/.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))
17.0ms
b
17.0ms
c
Results
AccuracySegmentsBranch
65.4%4a
90.0%3b
58.9%2c
82.1%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)

regimes20.0ms (0.2%)

Memory
4.5MiB live, 42.2MiB allocated
Counts
55 → 3
Calls
Call 1
Inputs
(/.f64 b a)
(/.f64 c b)
(/.f64 b (neg.f64 a))
(/.f64 c (neg.f64 b))
(/.f64 (+.f64 b b) a)
(*.f64 (/.f64 #s(literal -1 binary64) a) b)
(/.f64 #s(literal 1/4 binary64) (*.f64 b a))
(/.f64 #s(literal 1/2 binary64) (*.f64 b a))
(/.f64 (+.f64 b b) (neg.f64 a))
(*.f64 (/.f64 #s(literal -1 binary64) a) (+.f64 b b))
(*.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 b b))
(/.f64 #s(literal -1 binary64) (*.f64 a (+.f64 b b)))
(/.f64 #s(literal -1/2 binary64) (*.f64 a (+.f64 b b)))
(/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 b b) a))
(/.f64 #s(literal 1 binary64) (*.f64 a (+.f64 b b)))
(/.f64 #s(literal -1 binary64) (/.f64 a b))
(/.f64 (/.f64 #s(literal 1/2 binary64) a) b)
(/.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (*.f64 a (+.f64 b b))))
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a (+.f64 b b)) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a b)) (*.f64 a a))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 #s(literal 1/2 binary64) (/.f64 a (+.f64 b b)))
(/.f64 (/.f64 #s(literal -1 binary64) a) (+.f64 b b))
(/.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 b b))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) b) #s(literal 1/2 binary64))) c)
(*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1/2 binary64) a))
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b #s(literal 1/2 binary64)) c))
(*.f64 (/.f64 (*.f64 a #s(literal -2 binary64)) (*.f64 a b)) (*.f64 c #s(literal 1/2 binary64)))
(/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) (*.f64 (*.f64 a #s(literal 2 binary64)) b))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1/2 binary64) b))
(/.f64 b (*.f64 (neg.f64 (*.f64 a a)) (/.f64 #s(literal 1 binary64) a)))
(fma.f64 b (/.f64 c (*.f64 b b)) (/.f64 b (neg.f64 a)))
(*.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a #s(literal 2 binary64)) b)))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) (+.f64 b b)))
(/.f64 (*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b)) (*.f64 #s(literal 2 binary64) a))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))))
(neg.f64 (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) b))
(/.f64 (neg.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c)) b)
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
(/.f64 #s(literal 1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c 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))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))))) a))
(/.f64 #s(literal 1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) a))
(/.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 a c) (*.f64 b b)) #s(literal 1 binary64)))))) a)
(/.f64 (*.f64 (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1 binary64))))) #s(literal 1/2 binary64)) a)
(-.f64 (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal 2 binary64))) (/.f64 b (*.f64 a #s(literal 2 binary64))))
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 a (*.f64 c (/.f64 #s(literal -4 binary64) (*.f64 b b))) #s(literal 1 binary64))) b (neg.f64 b)) (*.f64 #s(literal 2 binary64) a))
(fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (/.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (*.f64 a #s(literal -2 binary64))))
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 a (/.f64 c (*.f64 (*.f64 b b) #s(literal -1/4 binary64))) #s(literal 1 binary64))) (fabs.f64 b) (neg.f64 b)) (*.f64 a #s(literal 2 binary64)))
(/.f64 (+.f64 (neg.f64 b) (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 a (*.f64 c (/.f64 #s(literal -4 binary64) (*.f64 b b))) #s(literal 1 binary64)))))) (*.f64 #s(literal 2 binary64) a))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (*.f64 (*.f64 b b) (fma.f64 #s(literal -4 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal 1 binary64))))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 (/.f64 c b) (/.f64 a b)) #s(literal 1 binary64)))))) a)
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 (*.f64 b b) (fma.f64 (*.f64 a c) (/.f64 #s(literal -4 binary64) (*.f64 b b)) #s(literal 1 binary64))))) (*.f64 #s(literal 2 binary64) a))
Outputs
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 a (/.f64 c (*.f64 (*.f64 b b) #s(literal -1/4 binary64))) #s(literal 1 binary64))) (fabs.f64 b) (neg.f64 b)) (*.f64 a #s(literal 2 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 c (neg.f64 b))
Calls

1 calls:

17.0ms
b
Results
AccuracySegmentsBranch
89.3%3b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes27.0ms (0.2%)

Memory
-48.4MiB live, 35.3MiB allocated
Counts
50 → 3
Calls
Call 1
Inputs
(/.f64 b a)
(/.f64 c b)
(/.f64 b (neg.f64 a))
(/.f64 c (neg.f64 b))
(/.f64 (+.f64 b b) a)
(*.f64 (/.f64 #s(literal -1 binary64) a) b)
(/.f64 #s(literal 1/4 binary64) (*.f64 b a))
(/.f64 #s(literal 1/2 binary64) (*.f64 b a))
(/.f64 (+.f64 b b) (neg.f64 a))
(*.f64 (/.f64 #s(literal -1 binary64) a) (+.f64 b b))
(*.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 b b))
(/.f64 #s(literal -1 binary64) (*.f64 a (+.f64 b b)))
(/.f64 #s(literal -1/2 binary64) (*.f64 a (+.f64 b b)))
(/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 b b) a))
(/.f64 #s(literal 1 binary64) (*.f64 a (+.f64 b b)))
(/.f64 #s(literal -1 binary64) (/.f64 a b))
(/.f64 (/.f64 #s(literal 1/2 binary64) a) b)
(/.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (*.f64 a (+.f64 b b))))
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a (+.f64 b b)) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a b)) (*.f64 a a))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 #s(literal 1/2 binary64) (/.f64 a (+.f64 b b)))
(/.f64 (/.f64 #s(literal -1 binary64) a) (+.f64 b b))
(/.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 b b))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) b) #s(literal 1/2 binary64))) c)
(*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1/2 binary64) a))
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b #s(literal 1/2 binary64)) c))
(*.f64 (/.f64 (*.f64 a #s(literal -2 binary64)) (*.f64 a b)) (*.f64 c #s(literal 1/2 binary64)))
(/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) (*.f64 (*.f64 a #s(literal 2 binary64)) b))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1/2 binary64) b))
(/.f64 b (*.f64 (neg.f64 (*.f64 a a)) (/.f64 #s(literal 1 binary64) a)))
(fma.f64 b (/.f64 c (*.f64 b b)) (/.f64 b (neg.f64 a)))
(*.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a #s(literal 2 binary64)) b)))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) (+.f64 b b)))
(/.f64 (*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b)) (*.f64 #s(literal 2 binary64) a))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))))
(neg.f64 (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) b))
(/.f64 (neg.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c)) b)
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
(/.f64 #s(literal 1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c 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))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))))) a))
(/.f64 #s(literal 1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) a))
(/.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 a c) (*.f64 b b)) #s(literal 1 binary64)))))) a)
(/.f64 (*.f64 (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1 binary64))))) #s(literal 1/2 binary64)) a)
(-.f64 (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal 2 binary64))) (/.f64 b (*.f64 a #s(literal 2 binary64))))
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 a (*.f64 c (/.f64 #s(literal -4 binary64) (*.f64 b b))) #s(literal 1 binary64))) b (neg.f64 b)) (*.f64 #s(literal 2 binary64) a))
(fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (/.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (*.f64 a #s(literal -2 binary64))))
Outputs
(/.f64 b (neg.f64 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))
(/.f64 c (neg.f64 b))
Calls

1 calls:

24.0ms
b
Results
AccuracySegmentsBranch
88.9%3b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes15.0ms (0.1%)

Memory
-8.2MiB live, 31.0MiB allocated
Counts
41 → 3
Calls
Call 1
Inputs
(/.f64 b a)
(/.f64 c b)
(/.f64 b (neg.f64 a))
(/.f64 c (neg.f64 b))
(/.f64 (+.f64 b b) a)
(*.f64 (/.f64 #s(literal -1 binary64) a) b)
(/.f64 #s(literal 1/4 binary64) (*.f64 b a))
(/.f64 #s(literal 1/2 binary64) (*.f64 b a))
(/.f64 (+.f64 b b) (neg.f64 a))
(*.f64 (/.f64 #s(literal -1 binary64) a) (+.f64 b b))
(*.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 b b))
(/.f64 #s(literal -1 binary64) (*.f64 a (+.f64 b b)))
(/.f64 #s(literal -1/2 binary64) (*.f64 a (+.f64 b b)))
(/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 b b) a))
(/.f64 #s(literal 1 binary64) (*.f64 a (+.f64 b b)))
(/.f64 #s(literal -1 binary64) (/.f64 a b))
(/.f64 (/.f64 #s(literal 1/2 binary64) a) b)
(/.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (*.f64 a (+.f64 b b))))
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a (+.f64 b b)) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a b)) (*.f64 a a))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 #s(literal 1/2 binary64) (/.f64 a (+.f64 b b)))
(/.f64 (/.f64 #s(literal -1 binary64) a) (+.f64 b b))
(/.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 b b))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) b) #s(literal 1/2 binary64))) c)
(*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1/2 binary64) a))
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b #s(literal 1/2 binary64)) c))
(*.f64 (/.f64 (*.f64 a #s(literal -2 binary64)) (*.f64 a b)) (*.f64 c #s(literal 1/2 binary64)))
(/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) (*.f64 (*.f64 a #s(literal 2 binary64)) b))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1/2 binary64) b))
(/.f64 b (*.f64 (neg.f64 (*.f64 a a)) (/.f64 #s(literal 1 binary64) a)))
(fma.f64 b (/.f64 c (*.f64 b b)) (/.f64 b (neg.f64 a)))
(*.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a #s(literal 2 binary64)) b)))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) (+.f64 b b)))
(/.f64 (*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b)) (*.f64 #s(literal 2 binary64) a))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))))
(neg.f64 (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) b))
(/.f64 (neg.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c)) b)
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
(/.f64 #s(literal 1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))))))
Outputs
(/.f64 b (neg.f64 a))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
(/.f64 c (neg.f64 b))
Calls

1 calls:

13.0ms
b
Results
AccuracySegmentsBranch
88.8%3b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes60.0ms (0.5%)

Memory
-6.9MiB live, 32.1MiB allocated
Counts
39 → 3
Calls
Call 1
Inputs
(/.f64 b a)
(/.f64 c b)
(/.f64 b (neg.f64 a))
(/.f64 c (neg.f64 b))
(/.f64 (+.f64 b b) a)
(*.f64 (/.f64 #s(literal -1 binary64) a) b)
(/.f64 #s(literal 1/4 binary64) (*.f64 b a))
(/.f64 #s(literal 1/2 binary64) (*.f64 b a))
(/.f64 (+.f64 b b) (neg.f64 a))
(*.f64 (/.f64 #s(literal -1 binary64) a) (+.f64 b b))
(*.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 b b))
(/.f64 #s(literal -1 binary64) (*.f64 a (+.f64 b b)))
(/.f64 #s(literal -1/2 binary64) (*.f64 a (+.f64 b b)))
(/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 b b) a))
(/.f64 #s(literal 1 binary64) (*.f64 a (+.f64 b b)))
(/.f64 #s(literal -1 binary64) (/.f64 a b))
(/.f64 (/.f64 #s(literal 1/2 binary64) a) b)
(/.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (*.f64 a (+.f64 b b))))
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a (+.f64 b b)) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a b)) (*.f64 a a))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 #s(literal 1/2 binary64) (/.f64 a (+.f64 b b)))
(/.f64 (/.f64 #s(literal -1 binary64) a) (+.f64 b b))
(/.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 b b))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) b) #s(literal 1/2 binary64))) c)
(*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1/2 binary64) a))
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b #s(literal 1/2 binary64)) c))
(*.f64 (/.f64 (*.f64 a #s(literal -2 binary64)) (*.f64 a b)) (*.f64 c #s(literal 1/2 binary64)))
(/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) (*.f64 (*.f64 a #s(literal 2 binary64)) b))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1/2 binary64) b))
(/.f64 b (*.f64 (neg.f64 (*.f64 a a)) (/.f64 #s(literal 1 binary64) a)))
(fma.f64 b (/.f64 c (*.f64 b b)) (/.f64 b (neg.f64 a)))
(*.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a #s(literal 2 binary64)) b)))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) (+.f64 b b)))
(/.f64 (*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b)) (*.f64 #s(literal 2 binary64) a))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))))
(neg.f64 (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) b))
(/.f64 (neg.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c)) b)
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))
Outputs
(fma.f64 b (/.f64 c (*.f64 b b)) (/.f64 b (neg.f64 a)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 c (neg.f64 b))
Calls

1 calls:

58.0ms
b
Results
AccuracySegmentsBranch
85.5%3b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes29.0ms (0.2%)

Memory
-7.8MiB live, 30.6MiB allocated
Counts
38 → 3
Calls
Call 1
Inputs
(/.f64 b a)
(/.f64 c b)
(/.f64 b (neg.f64 a))
(/.f64 c (neg.f64 b))
(/.f64 (+.f64 b b) a)
(*.f64 (/.f64 #s(literal -1 binary64) a) b)
(/.f64 #s(literal 1/4 binary64) (*.f64 b a))
(/.f64 #s(literal 1/2 binary64) (*.f64 b a))
(/.f64 (+.f64 b b) (neg.f64 a))
(*.f64 (/.f64 #s(literal -1 binary64) a) (+.f64 b b))
(*.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 b b))
(/.f64 #s(literal -1 binary64) (*.f64 a (+.f64 b b)))
(/.f64 #s(literal -1/2 binary64) (*.f64 a (+.f64 b b)))
(/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 b b) a))
(/.f64 #s(literal 1 binary64) (*.f64 a (+.f64 b b)))
(/.f64 #s(literal -1 binary64) (/.f64 a b))
(/.f64 (/.f64 #s(literal 1/2 binary64) a) b)
(/.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (*.f64 a (+.f64 b b))))
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a (+.f64 b b)) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a b)) (*.f64 a a))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 #s(literal 1/2 binary64) (/.f64 a (+.f64 b b)))
(/.f64 (/.f64 #s(literal -1 binary64) a) (+.f64 b b))
(/.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 b b))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) b) #s(literal 1/2 binary64))) c)
(*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1/2 binary64) a))
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b #s(literal 1/2 binary64)) c))
(*.f64 (/.f64 (*.f64 a #s(literal -2 binary64)) (*.f64 a b)) (*.f64 c #s(literal 1/2 binary64)))
(/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) (*.f64 (*.f64 a #s(literal 2 binary64)) b))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1/2 binary64) b))
(/.f64 b (*.f64 (neg.f64 (*.f64 a a)) (/.f64 #s(literal 1 binary64) a)))
(fma.f64 b (/.f64 c (*.f64 b b)) (/.f64 b (neg.f64 a)))
(*.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a #s(literal 2 binary64)) b)))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) (+.f64 b b)))
(/.f64 (*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b)) (*.f64 #s(literal 2 binary64) a))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))))
(neg.f64 (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) b))
(/.f64 (neg.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c)) b)
Outputs
(fma.f64 b (/.f64 c (*.f64 b b)) (/.f64 b (neg.f64 a)))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))))
(/.f64 c (neg.f64 b))
Calls

1 calls:

11.0ms
b
Results
AccuracySegmentsBranch
85.4%3b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes23.0ms (0.2%)

Memory
-2.8MiB live, 38.3MiB allocated
Counts
35 → 2
Calls
Call 1
Inputs
(/.f64 b a)
(/.f64 c b)
(/.f64 b (neg.f64 a))
(/.f64 c (neg.f64 b))
(/.f64 (+.f64 b b) a)
(*.f64 (/.f64 #s(literal -1 binary64) a) b)
(/.f64 #s(literal 1/4 binary64) (*.f64 b a))
(/.f64 #s(literal 1/2 binary64) (*.f64 b a))
(/.f64 (+.f64 b b) (neg.f64 a))
(*.f64 (/.f64 #s(literal -1 binary64) a) (+.f64 b b))
(*.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 b b))
(/.f64 #s(literal -1 binary64) (*.f64 a (+.f64 b b)))
(/.f64 #s(literal -1/2 binary64) (*.f64 a (+.f64 b b)))
(/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 b b) a))
(/.f64 #s(literal 1 binary64) (*.f64 a (+.f64 b b)))
(/.f64 #s(literal -1 binary64) (/.f64 a b))
(/.f64 (/.f64 #s(literal 1/2 binary64) a) b)
(/.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (*.f64 a (+.f64 b b))))
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a (+.f64 b b)) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a b)) (*.f64 a a))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 #s(literal 1/2 binary64) (/.f64 a (+.f64 b b)))
(/.f64 (/.f64 #s(literal -1 binary64) a) (+.f64 b b))
(/.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 b b))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) b) #s(literal 1/2 binary64))) c)
(*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1/2 binary64) a))
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b #s(literal 1/2 binary64)) c))
(*.f64 (/.f64 (*.f64 a #s(literal -2 binary64)) (*.f64 a b)) (*.f64 c #s(literal 1/2 binary64)))
(/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) (*.f64 (*.f64 a #s(literal 2 binary64)) b))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1/2 binary64) b))
(/.f64 b (*.f64 (neg.f64 (*.f64 a a)) (/.f64 #s(literal 1 binary64) a)))
(fma.f64 b (/.f64 c (*.f64 b b)) (/.f64 b (neg.f64 a)))
(*.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a #s(literal 2 binary64)) b)))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) (+.f64 b b)))
(/.f64 (*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b)) (*.f64 #s(literal 2 binary64) a))
Outputs
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 c (neg.f64 b))
Calls

2 calls:

11.0ms
(/.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))
10.0ms
b
Results
AccuracySegmentsBranch
52.5%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))
69.3%2b
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes7.0ms (0.1%)

Memory
14.0MiB live, 14.0MiB allocated
Counts
20 → 2
Calls
Call 1
Inputs
(/.f64 b a)
(/.f64 c b)
(/.f64 b (neg.f64 a))
(/.f64 c (neg.f64 b))
(/.f64 (+.f64 b b) a)
(*.f64 (/.f64 #s(literal -1 binary64) a) b)
(/.f64 #s(literal 1/4 binary64) (*.f64 b a))
(/.f64 #s(literal 1/2 binary64) (*.f64 b a))
(/.f64 (+.f64 b b) (neg.f64 a))
(*.f64 (/.f64 #s(literal -1 binary64) a) (+.f64 b b))
(*.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 b b))
(/.f64 #s(literal -1 binary64) (*.f64 a (+.f64 b b)))
(/.f64 #s(literal -1/2 binary64) (*.f64 a (+.f64 b b)))
(/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 b b) a))
(/.f64 #s(literal 1 binary64) (*.f64 a (+.f64 b b)))
(/.f64 #s(literal -1 binary64) (/.f64 a b))
(/.f64 (/.f64 #s(literal 1/2 binary64) a) b)
(/.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (*.f64 a (+.f64 b b))))
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a (+.f64 b b)) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a b)) (*.f64 a a))
Outputs
(/.f64 b (neg.f64 a))
(/.f64 c (neg.f64 b))
Calls

1 calls:

6.0ms
b
Results
AccuracySegmentsBranch
69.1%2b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes8.0ms (0.1%)

Memory
17.3MiB live, 17.3MiB allocated
Counts
3 → 2
Calls
Call 1
Inputs
(/.f64 b a)
(/.f64 c b)
(/.f64 b (neg.f64 a))
Outputs
(/.f64 b (neg.f64 a))
(/.f64 c b)
Calls

4 calls:

2.0ms
a
2.0ms
c
2.0ms
b
2.0ms
(/.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
38.0%1(/.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))
38.0%1c
38.0%1a
43.2%2b
Compiler

Compiled 32 to 23 computations (28.1% saved)

regimes9.0ms (0.1%)

Memory
-19.8MiB live, 17.6MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
(/.f64 b a)
(/.f64 c b)
Outputs
(/.f64 c b)
Calls

4 calls:

4.0ms
c
2.0ms
a
2.0ms
b
1.0ms
(/.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
8.1%1(/.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))
8.1%1a
8.1%1c
8.1%1b
Compiler

Compiled 32 to 23 computations (28.1% saved)

regimes6.0ms (0%)

Memory
15.7MiB live, 15.7MiB 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

4 calls:

1.0ms
b
1.0ms
a
1.0ms
c
1.0ms
(/.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
2.3%1c
2.3%1a
2.3%1b
2.3%1(/.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)

bsearch47.0ms (0.4%)

Memory
12.6MiB live, 84.6MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×predicate-same
Steps
TimeLeftRight
33.0ms
0.0021488054673884397
65514450.83139747
8.0ms
-7.249539695547074e+87
-1.0818353827429796e+85
Samples
10.0ms103×0valid
9.0ms44×2valid
8.0ms56×1valid
2.0ms28×0invalid
1.0ms4×4valid
0.0ms1×3valid
Compiler

Compiled 451 to 329 computations (27.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-mult: 7.0ms (34.4% of total)
ival-div: 3.0ms (14.7% of total)
ival-sqrt: 3.0ms (14.7% of total)
adjust: 2.0ms (9.8% of total)
ival-sub: 2.0ms (9.8% of total)
ival-neg: 2.0ms (9.8% of total)
ival-add: 2.0ms (9.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch48.0ms (0.4%)

Memory
2.2MiB live, 81.1MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×predicate-same
Steps
TimeLeftRight
41.0ms
0.0021488054673884397
65514450.83139747
2.0ms
-7.249539695547074e+87
-1.0818353827429796e+85
Samples
17.0ms42×1valid
10.0ms51×2valid
6.0ms79×0valid
2.0ms23×0invalid
1.0ms3×4valid
0.0ms1×3valid
Compiler

Compiled 358 to 262 computations (26.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
ival-neg: 13.0ms (43.8% of total)
ival-mult: 6.0ms (20.2% of total)
ival-div: 3.0ms (10.1% of total)
ival-sqrt: 3.0ms (10.1% of total)
adjust: 2.0ms (6.7% of total)
ival-sub: 2.0ms (6.7% of total)
ival-add: 2.0ms (6.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch41.0ms (0.3%)

Memory
3.0MiB live, 76.6MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×predicate-same
Steps
TimeLeftRight
35.0ms
0.0021488054673884397
65514450.83139747
2.0ms
-9.962383559955747e+157
-4.17960469951597e+148
Samples
11.0ms43×2valid
7.0ms48×1valid
6.0ms78×0valid
2.0ms31×0invalid
1.0ms4×4valid
1.0ms3×3valid
Compiler

Compiled 342 to 251 computations (26.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-mult: 8.0ms (38.5% of total)
ival-sqrt: 3.0ms (14.4% of total)
adjust: 2.0ms (9.6% of total)
ival-div: 2.0ms (9.6% of total)
ival-neg: 2.0ms (9.6% of total)
ival-sub: 2.0ms (9.6% of total)
ival-add: 2.0ms (9.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch87.0ms (0.7%)

Memory
-15.3MiB live, 97.0MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
32.0ms
0.0021488054673884397
65514450.83139747
23.0ms
-4.263507062232733e+140
-9.855417587374862e+137
Samples
24.0ms202×0valid
7.0ms34×2valid
6.0ms43×1valid
5.0ms29×0invalid
2.0ms7×4valid
1.0ms2×3valid
Compiler

Compiled 509 to 362 computations (28.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-mult: 11.0ms (42.5% of total)
ival-div: 3.0ms (11.6% of total)
ival-sqrt: 3.0ms (11.6% of total)
ival-neg: 2.0ms (7.7% of total)
ival-sub: 2.0ms (7.7% of total)
ival-add: 2.0ms (7.7% of total)
adjust: 1.0ms (3.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch98.0ms (0.8%)

Memory
7.5MiB live, 123.7MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
49.0ms
0.0021488054673884397
65514450.83139747
38.0ms
-0.0026414474506028284
-4.450636495760542e-21
Samples
35.0ms237×0valid
25.0ms39×1valid
8.0ms38×2valid
5.0ms63×0invalid
1.0ms3×4valid
1.0ms3×3valid
Compiler

Compiled 593 to 430 computations (27.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 43.0ms
ival-div: 20.0ms (46.3% of total)
ival-mult: 10.0ms (23.1% of total)
ival-sqrt: 4.0ms (9.3% of total)
ival-neg: 3.0ms (6.9% of total)
ival-add: 3.0ms (6.9% of total)
ival-sub: 2.0ms (4.6% of total)
adjust: 1.0ms (2.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch82.0ms (0.7%)

Memory
14.9MiB live, 133.7MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
51.0ms
0.0021488054673884397
65514450.83139747
23.0ms
-0.0026414474506028284
-4.450636495760542e-21
Samples
22.0ms5×3valid
19.0ms217×0valid
9.0ms47×2valid
7.0ms48×1valid
5.0ms60×0invalid
1.0ms3×4valid
Compiler

Compiled 573 to 410 computations (28.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 48.0ms
ival-mult: 28.0ms (57.9% of total)
ival-neg: 5.0ms (10.3% of total)
ival-div: 4.0ms (8.3% of total)
ival-sqrt: 4.0ms (8.3% of total)
ival-sub: 3.0ms (6.2% of total)
ival-add: 3.0ms (6.2% of total)
adjust: 2.0ms (4.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch42.0ms (0.3%)

Memory
-12.9MiB live, 103.3MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
36.0ms
-3.722505631255059e-290
1.4711006443958461e-285
Samples
18.0ms192×0valid
9.0ms117×0invalid
Compiler

Compiled 251 to 176 computations (29.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-mult: 7.0ms (38.9% of total)
ival-neg: 3.0ms (16.7% of total)
ival-div: 2.0ms (11.1% of total)
ival-sub: 2.0ms (11.1% of total)
ival-sqrt: 2.0ms (11.1% of total)
ival-add: 1.0ms (5.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch37.0ms (0.3%)

Memory
3.8MiB live, 84.1MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
33.0ms
1.4711006443958461e-285
2.439776262746942e-274
Samples
16.0ms160×0valid
10.0ms109×0invalid
Compiler

Compiled 183 to 140 computations (23.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-mult: 7.0ms (47.8% of total)
ival-div: 2.0ms (13.7% of total)
ival-sqrt: 2.0ms (13.7% of total)
ival-add: 1.0ms (6.8% of total)
ival-sub: 1.0ms (6.8% of total)
ival-neg: 1.0ms (6.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch46.0ms (0.4%)

Memory
-6.8MiB live, 71.7MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
25.0ms
471181587.1684371
161847038181.08548
Samples
8.0ms46×1valid
6.0ms31×2valid
4.0ms49×0valid
2.0ms20×0invalid
1.0ms2×5exit
0.0ms2×3valid
Compiler

Compiled 143 to 108 computations (24.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-mult: 6.0ms (40.7% of total)
ival-div: 2.0ms (13.6% of total)
ival-sqrt: 2.0ms (13.6% of total)
adjust: 1.0ms (6.8% of total)
ival-neg: 1.0ms (6.8% of total)
ival-sub: 1.0ms (6.8% of total)
ival-add: 1.0ms (6.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

simplify15.0ms (0.1%)

Memory
30.1MiB live, 30.1MiB allocated
Algorithm
1×egg-herbie
Rules
46×*-commutative_binary64
34×+-commutative_binary64
28×sub-neg_binary64
20×neg-sub0_binary64
20×neg-mul-1_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
099278
1138273
2174273
3192273
4202273
5204273
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 b #s(literal -50000000000000000731534761533743651548502149393232752963930539358489818212557410795520 binary64)) (/.f64 (+.f64 (neg.f64 b) (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 a (/.f64 (/.f64 (*.f64 c #s(literal -4 binary64)) b) b) #s(literal 1 binary64)))))) (*.f64 #s(literal 2 binary64) a)) (if (<=.f64 b #s(literal 5072854620270127/2305843009213693952 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 c (neg.f64 b))))
(if (<=.f64 b #s(literal -4999999999999999797083622281751813657459980448242257198348695049033519614754772127580160 binary64)) (/.f64 (fma.f64 (sqrt.f64 (fma.f64 a (/.f64 c (*.f64 (*.f64 b b) #s(literal -1/4 binary64))) #s(literal 1 binary64))) (fabs.f64 b) (neg.f64 b)) (*.f64 a #s(literal 2 binary64))) (if (<=.f64 b #s(literal 3098476543630901/144115188075855872 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 c (neg.f64 b))))
(if (<=.f64 b #s(literal -49999999999999997643667726825605503998723091390929041589542693874892976119602893534497849501708255388193655030747466210492481655783901101005318643863821221888 binary64)) (/.f64 b (neg.f64 a)) (if (<=.f64 b #s(literal 5072854620270127/2305843009213693952 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 c (neg.f64 b))))
(if (<=.f64 b #s(literal -1050000000000000034483640613665172382936363194677592280287929097571684357243727395321201381409113783318146980023538557357580915165922066432 binary64)) (/.f64 b (neg.f64 a)) (if (<=.f64 b #s(literal 5764607523034235/576460752303423488 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (/.f64 c (neg.f64 b))))
(if (<=.f64 b #s(literal -5981525981032121/1329227995784915872903807060280344576 binary64)) (fma.f64 b (/.f64 c (*.f64 b b)) (/.f64 b (neg.f64 a))) (if (<=.f64 b #s(literal 662929865148937/288230376151711744 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a)) (/.f64 c (neg.f64 b))))
(if (<=.f64 b #s(literal -2281771080410813/5070602400912917605986812821504 binary64)) (fma.f64 b (/.f64 c (*.f64 b b)) (/.f64 b (neg.f64 a))) (if (<=.f64 b #s(literal 5072854620270127/2305843009213693952 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (/.f64 c (neg.f64 b))))
(if (<=.f64 b #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 c (neg.f64 b)))
(if (<=.f64 b #s(literal 8036314553897005/5357543035931336604742125245300009052807024058527668037218751941851755255624680612465991894078479290637973364587765734125935726428461570217992288787349287401967283887412115492710537302531185570938977091076523237491790970633699383779582771973038531457285598238843271083830214915826312193418602834034688 binary64)) (/.f64 b (neg.f64 a)) (/.f64 c (neg.f64 b)))
(if (<=.f64 b #s(literal 1250000000 binary64)) (/.f64 b (neg.f64 a)) (/.f64 c b))
(/.f64 c b)
(/.f64 b a)
Outputs
(if (<=.f64 b #s(literal -50000000000000000731534761533743651548502149393232752963930539358489818212557410795520 binary64)) (/.f64 (+.f64 (neg.f64 b) (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 a (/.f64 (/.f64 (*.f64 c #s(literal -4 binary64)) b) b) #s(literal 1 binary64)))))) (*.f64 #s(literal 2 binary64) a)) (if (<=.f64 b #s(literal 5072854620270127/2305843009213693952 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 c (neg.f64 b))))
(if (<=.f64 b #s(literal -50000000000000000731534761533743651548502149393232752963930539358489818212557410795520 binary64)) (/.f64 (-.f64 (fabs.f64 (*.f64 b (sqrt.f64 (fma.f64 a (/.f64 (/.f64 (*.f64 c #s(literal -4 binary64)) b) b) #s(literal 1 binary64))))) b) (*.f64 a #s(literal 2 binary64))) (if (<=.f64 b #s(literal 5072854620270127/2305843009213693952 binary64)) (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal 4 binary64))))) b) (*.f64 a #s(literal 2 binary64))) (/.f64 c (neg.f64 b))))
(if (<=.f64 b #s(literal -4999999999999999797083622281751813657459980448242257198348695049033519614754772127580160 binary64)) (/.f64 (fma.f64 (sqrt.f64 (fma.f64 a (/.f64 c (*.f64 (*.f64 b b) #s(literal -1/4 binary64))) #s(literal 1 binary64))) (fabs.f64 b) (neg.f64 b)) (*.f64 a #s(literal 2 binary64))) (if (<=.f64 b #s(literal 3098476543630901/144115188075855872 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 c (neg.f64 b))))
(if (<=.f64 b #s(literal -4999999999999999797083622281751813657459980448242257198348695049033519614754772127580160 binary64)) (/.f64 (fma.f64 (sqrt.f64 (fma.f64 a (/.f64 c (*.f64 (*.f64 b b) #s(literal -1/4 binary64))) #s(literal 1 binary64))) (fabs.f64 b) (neg.f64 b)) (*.f64 a #s(literal 2 binary64))) (if (<=.f64 b #s(literal 3098476543630901/144115188075855872 binary64)) (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal 4 binary64))))) b) (*.f64 a #s(literal 2 binary64))) (/.f64 c (neg.f64 b))))
(if (<=.f64 b #s(literal -49999999999999997643667726825605503998723091390929041589542693874892976119602893534497849501708255388193655030747466210492481655783901101005318643863821221888 binary64)) (/.f64 b (neg.f64 a)) (if (<=.f64 b #s(literal 5072854620270127/2305843009213693952 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 c (neg.f64 b))))
(if (<=.f64 b #s(literal -49999999999999997643667726825605503998723091390929041589542693874892976119602893534497849501708255388193655030747466210492481655783901101005318643863821221888 binary64)) (neg.f64 (/.f64 b a)) (if (<=.f64 b #s(literal 5072854620270127/2305843009213693952 binary64)) (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal 4 binary64))))) b) (*.f64 a #s(literal 2 binary64))) (/.f64 c (neg.f64 b))))
(if (<=.f64 b #s(literal -1050000000000000034483640613665172382936363194677592280287929097571684357243727395321201381409113783318146980023538557357580915165922066432 binary64)) (/.f64 b (neg.f64 a)) (if (<=.f64 b #s(literal 5764607523034235/576460752303423488 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (/.f64 c (neg.f64 b))))
(if (<=.f64 b #s(literal -1050000000000000034483640613665172382936363194677592280287929097571684357243727395321201381409113783318146980023538557357580915165922066432 binary64)) (neg.f64 (/.f64 b a)) (if (<=.f64 b #s(literal 5764607523034235/576460752303423488 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (/.f64 c (neg.f64 b))))
(if (<=.f64 b #s(literal -5981525981032121/1329227995784915872903807060280344576 binary64)) (fma.f64 b (/.f64 c (*.f64 b b)) (/.f64 b (neg.f64 a))) (if (<=.f64 b #s(literal 662929865148937/288230376151711744 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a)) (/.f64 c (neg.f64 b))))
(if (<=.f64 b #s(literal -5981525981032121/1329227995784915872903807060280344576 binary64)) (fma.f64 b (/.f64 c (*.f64 b b)) (neg.f64 (/.f64 b a))) (if (<=.f64 b #s(literal 662929865148937/288230376151711744 binary64)) (/.f64 (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b) (*.f64 a #s(literal 2 binary64))) (/.f64 c (neg.f64 b))))
(if (<=.f64 b #s(literal -2281771080410813/5070602400912917605986812821504 binary64)) (fma.f64 b (/.f64 c (*.f64 b b)) (/.f64 b (neg.f64 a))) (if (<=.f64 b #s(literal 5072854620270127/2305843009213693952 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (/.f64 c (neg.f64 b))))
(if (<=.f64 b #s(literal -2281771080410813/5070602400912917605986812821504 binary64)) (fma.f64 b (/.f64 c (*.f64 b b)) (neg.f64 (/.f64 b a))) (if (<=.f64 b #s(literal 5072854620270127/2305843009213693952 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))))) (/.f64 c (neg.f64 b))))
(if (<=.f64 b #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 c (neg.f64 b)))
(if (<=.f64 b #s(literal 8036314553897005/5357543035931336604742125245300009052807024058527668037218751941851755255624680612465991894078479290637973364587765734125935726428461570217992288787349287401967283887412115492710537302531185570938977091076523237491790970633699383779582771973038531457285598238843271083830214915826312193418602834034688 binary64)) (/.f64 b (neg.f64 a)) (/.f64 c (neg.f64 b)))
(if (<=.f64 b #s(literal 8036314553897005/5357543035931336604742125245300009052807024058527668037218751941851755255624680612465991894078479290637973364587765734125935726428461570217992288787349287401967283887412115492710537302531185570938977091076523237491790970633699383779582771973038531457285598238843271083830214915826312193418602834034688 binary64)) (neg.f64 (/.f64 b a)) (/.f64 c (neg.f64 b)))
(if (<=.f64 b #s(literal 1250000000 binary64)) (/.f64 b (neg.f64 a)) (/.f64 c b))
(if (<=.f64 b #s(literal 1250000000 binary64)) (neg.f64 (/.f64 b a)) (/.f64 c b))
(/.f64 c b)
(/.f64 b a)

soundness1.0s (8.6%)

Memory
-8.7MiB live, 1 004.1MiB allocated
Rules
11 458×accelerator-lowering-fma.f32
11 458×accelerator-lowering-fma.f64
8 150×accelerator-lowering-fma.f32
8 150×accelerator-lowering-fma.f64
7 766×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036199
1210190
21688186
08385176
01451
16749
252748
3685848
0815244
05453273
117383232
260833204
082433047
036213
1202208
21627203
08284191
0109610588
1362410329
084169885
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 586 to 308 computations (47.4% saved)

preprocess106.0ms (0.9%)

Memory
-12.5MiB live, 140.4MiB allocated
Compiler

Compiled 592 to 222 computations (62.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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