quadm (p42, negative)

Time bar (total: 11.3s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze132.0ms (1.2%)

Memory
-13.3MiB live, 225.9MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
25%25%74.9%0.1%0%0%0%4
37.5%37.4%62.4%0.1%0%0%0%5
37.5%37.4%62.4%0.1%0%0%0%6
40%37.4%56.2%0.1%0%6.2%0%7
48.3%45.2%48.4%0.1%0%6.2%0%8
53%48.4%42.9%0.1%0%8.6%0%9
58.1%50.3%36.3%0.1%0%13.3%0%10
66.1%56.8%29.1%0.1%0%14%0%11
70.4%58.8%24.7%0.1%0%16.4%0%12
Compiler

Compiled 19 to 16 computations (15.8% saved)

sample1.5s (13.5%)

Memory
26.4MiB live, 1 758.4MiB allocated
Samples
570.0ms5 574×0valid
242.0ms1 197×2valid
186.0ms1 337×1valid
97.0ms955×0invalid
35.0ms148×3valid
Precisions
Click to see histograms. Total time spent on operations: 768.0ms
ival-mult: 248.0ms (32.3% of total)
ival-div: 129.0ms (16.8% of total)
ival-sub: 125.0ms (16.3% of total)
ival-sqrt: 110.0ms (14.3% of total)
adjust: 85.0ms (11.1% of total)
ival-neg: 52.0ms (6.8% of total)
exact: 9.0ms (1.2% of total)
ival-true: 7.0ms (0.9% of total)
ival-assert: 4.0ms (0.5% of total)
Bogosity

explain178.0ms (1.6%)

Memory
3.1MiB live, 238.3MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
930-0-(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))
530-0-(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))))
170-2(4.735906920160018e-18 -9.600003973959352e+180 -1.9808390724895936e-121)(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a))
30-0-(-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))
00-0-a
00-0-(*.f64 #s(literal 4 binary64) (*.f64 a c))
00-0-(*.f64 a c)
00-0-#s(literal 4 binary64)
00-0-(*.f64 b b)
00-0-(*.f64 #s(literal 2 binary64) a)
00-0-c
00-0-#s(literal 2 binary64)
00-0-(neg.f64 b)
00-0-b
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
sqrt.f64(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))oflow-rescue890
(*.f64 b b)overflow82
(*.f64 #s(literal 4 binary64) (*.f64 a c))overflow12
(*.f64 a c)overflow12
(-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))overflow89
-.f64(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))))cancellation530
/.f64(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a))u/n150
(*.f64 b b)underflow43
(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))))underflow34
(*.f64 #s(literal 4 binary64) (*.f64 a c))underflow40
(*.f64 a c)underflow40
(-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))underflow4
sqrt.f64(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))uflow-rescue40
(*.f64 b b)underflow43
(*.f64 #s(literal 4 binary64) (*.f64 a c))underflow40
(*.f64 a c)underflow40
(-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))underflow4
-.f64(-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))nan-rescue30
(*.f64 b b)overflow82
(*.f64 #s(literal 4 binary64) (*.f64 a c))overflow12
(*.f64 a c)overflow12
Confusion
Predicted +Predicted -
+1140
-17125
Precision
0.8702290076335878
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+11400
-170125
Precision?
0.8702290076335878
Recall?
1.0
Freqs
test
numberfreq
0125
199
231
31
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
33.0ms338×0valid
21.0ms96×2valid
11.0ms66×1valid
3.0ms12×3valid
Compiler

Compiled 164 to 46 computations (72% saved)

Precisions
Click to see histograms. Total time spent on operations: 44.0ms
ival-mult: 16.0ms (36.1% of total)
ival-sub: 8.0ms (18.1% of total)
ival-sqrt: 6.0ms (13.6% of total)
adjust: 5.0ms (11.3% of total)
ival-div: 5.0ms (11.3% of total)
ival-neg: 2.0ms (4.5% of total)
exact: 1.0ms (2.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess200.0ms (1.8%)

Memory
25.0MiB live, 114.5MiB allocated
Algorithm
egg-herbie
Rules
1 418×times-frac
1 146×distribute-rgt-in
1 120×lower-fma.f64
1 120×lower-fma.f32
974×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056158
1189151
2590147
31942144
44692144
55896144
66384144
76472144
86511144
96782144
01417
02317
14517
210417
324716
440916
574316
6157016
7208216
8224216
9231216
10232216
11232216
12232816
0232815
Stop Event
iter limit
saturated
iter limit
node limit
Calls
Call 1
Inputs
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a))
Outputs
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64)))
Compiler

Compiled 20 to 14 computations (30% saved)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune7.0ms (0.1%)

Memory
-34.8MiB live, 3.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
56.8%
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a))
Compiler

Compiled 20 to 14 computations (30% saved)

simplify82.0ms (0.7%)

Memory
19.7MiB live, 58.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f64 b)
cost-diff0
(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))))
cost-diff128
(-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))
cost-diff128
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a))
Rules
1 120×lower-fma.f64
1 120×lower-fma.f32
744×lower-*.f32
736×lower-*.f64
456×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01470
02370
14570
210470
324769
440969
574369
6157069
7208269
8224269
9231269
10232269
11232269
12232869
0232865
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a))
(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))))
(neg.f64 b)
b
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))
(-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))
(*.f64 b b)
(*.f64 #s(literal 4 binary64) (*.f64 a c))
#s(literal 4 binary64)
(*.f64 a c)
a
c
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
Outputs
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64)))
(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))))
(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))
(neg.f64 b)
b
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))
(sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))
(-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))
(fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))
(*.f64 b b)
(*.f64 #s(literal 4 binary64) (*.f64 a c))
#s(literal 4 binary64)
(*.f64 a c)
a
c
(*.f64 #s(literal 2 binary64) a)
(*.f64 a #s(literal 2 binary64))
#s(literal 2 binary64)

localize86.0ms (0.8%)

Memory
5.7MiB live, 44.6MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.6132812500000001
(-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))
accuracy3.7971395940838493
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a))
accuracy12.301700464149379
(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))))
accuracy21.72701588700146
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))
Samples
48.0ms48×2valid
15.0ms169×0valid
5.0ms33×1valid
2.0ms3valid
Compiler

Compiled 72 to 16 computations (77.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 58.0ms
adjust: 40.0ms (69% of total)
ival-mult: 7.0ms (12.1% of total)
ival-sub: 4.0ms (6.9% of total)
ival-div: 3.0ms (5.2% of total)
ival-sqrt: 3.0ms (5.2% of total)
ival-neg: 1.0ms (1.7% 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
11.2MiB live, 11.2MiB allocated
Counts
5 → 156
Calls
Call 1
Inputs
#s(alt (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())
#s(alt (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))) (patch (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))) #<representation binary64>) () ())
#s(alt (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (patch (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) #<representation binary64>) () ())
#s(alt (neg.f64 b) (patch (neg.f64 b) #<representation binary64>) () ())
#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) #<representation binary64>) () ())
Outputs
#s(alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (taylor 0 b) (#s(alt (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) (taylor 0 b) (#s(alt (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) (taylor 0 b) (#s(alt (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a))))) (taylor 0 b) (#s(alt (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ b a)) (taylor inf b) (#s(alt (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* b (- (/ c (pow b 2)) (/ 1 a))) (taylor inf b) (#s(alt (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))) (taylor inf b) (#s(alt (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a))) (taylor inf b) (#s(alt (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ c b)) (taylor -inf b) (#s(alt (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)) (taylor -inf b) (#s(alt (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b)) (taylor -inf b) (#s(alt (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b)) (taylor -inf b) (#s(alt (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ b a)) (taylor 0 a) (#s(alt (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 b) (/ (* a c) b)) a) (taylor 0 a) (#s(alt (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a) (taylor 0 a) (#s(alt (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a) (taylor 0 a) (#s(alt (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) (taylor -inf b) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) #<representation binary64>) () ())) ())
#s(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)))))))) (taylor -inf b) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) #<representation binary64>) () ())) ())
#s(alt b (taylor 0 a) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) #<representation binary64>) () ())) ())
#s(alt (+ b (* -2 (/ (* a c) b))) (taylor 0 a) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) #<representation binary64>) () ())) ())
#s(alt (+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) (taylor 0 a) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) #<representation binary64>) () ())) ())
#s(alt (+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) (taylor 0 a) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (* a c)) (sqrt -4)) (taylor inf a) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (taylor inf a) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) #<representation binary64>) () ())) ())
#s(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))))) (taylor inf a) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) #<representation binary64>) () ())) ())
#s(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)))))) (taylor inf a) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) #<representation binary64>) () ())) ())
#s(alt (* -2 (* (sqrt (* a c)) (sqrt -1))) (taylor -inf a) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) (taylor -inf a) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) #<representation binary64>) () ())) ())
#s(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))))))) (taylor -inf a) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) #<representation binary64>) () ())) ())
#s(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)))))))) (taylor -inf a) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) #<representation binary64>) () ())) ())
#s(alt b (taylor 0 c) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) #<representation binary64>) () ())) ())
#s(alt (+ b (* -2 (/ (* a c) b))) (taylor 0 c) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) #<representation binary64>) () ())) ())
#s(alt (+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) (taylor 0 c) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) #<representation binary64>) () ())) ())
#s(alt (+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) (taylor 0 c) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (* a c)) (sqrt -4)) (taylor inf c) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (taylor inf c) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) #<representation binary64>) () ())) ())
#s(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))))) (taylor inf c) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) #<representation binary64>) () ())) ())
#s(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)))))) (taylor inf c) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) #<representation binary64>) () ())) ())
#s(alt (* -2 (* (sqrt (* a c)) (sqrt -1))) (taylor -inf c) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) (taylor -inf c) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) #<representation binary64>) () ())) ())
#s(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))))))) (taylor -inf c) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) #<representation binary64>) () ())) ())
#s(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)))))))) (taylor -inf c) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) #<representation binary64>) () ())) ())
Calls

39 calls:

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

simplify377.0ms (3.3%)

Memory
-9.6MiB live, 189.6MiB allocated
Algorithm
egg-herbie
Rules
9 868×lower-fma.f64
9 868×lower-fma.f32
7 984×lower-*.f64
7 984×lower-*.f32
2 264×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05453138
117183109
257583070
081202910
Stop Event
iter limit
node limit
Counts
156 → 153
Calls
Call 1
Inputs
(* -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 (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))
(* -1 (/ b a))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))
(* -1 (/ c b))
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))
(* -1 (/ b a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (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)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (/ b a))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))
(* (sqrt (/ c a)) (sqrt -1))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)))))
(* -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 (* (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 b)
(* b (- (* 2 (/ (* a c) (pow b 2))) 2))
(* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -2 (/ (* a c) b))
(* -1 (/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) 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 (/ (- (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b))
(* -2 b)
(- (* 2 (/ (* a c) b)) (* 2 b))
(- (* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) (* 2 b))
(- (* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) (* 2 b))
(* -1 (* (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 (- (/ b a) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -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 b)
(- (* 2 (/ (* a c) b)) (* 2 b))
(- (* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) (* 2 b))
(- (* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) (* 2 b))
(* -1 (* (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 (- (/ b c) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -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 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
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -1/2 binary64)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(*.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(fma.f64 b (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 a a))))) (*.f64 #s(literal -1/4 binary64) (/.f64 b (sqrt.f64 #s(literal -4 binary64)))) (/.f64 #s(literal -1/2 binary64) a)) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -1/2 binary64))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))
(fma.f64 b (fma.f64 b (fma.f64 #s(literal -1/64 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 c (*.f64 c c))))) (*.f64 b b)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 a a)))))) (sqrt.f64 #s(literal -4 binary64)))) (/.f64 #s(literal -1/2 binary64) a)) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -1/2 binary64))))
(* -1 (/ b a))
(neg.f64 (/.f64 b a))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(fma.f64 b (/.f64 c (*.f64 b b)) (neg.f64 (/.f64 b a)))
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))
(fma.f64 b (fma.f64 a (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b b))) (/.f64 c (*.f64 b b))) (neg.f64 (/.f64 b a)))
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))
(fma.f64 b (fma.f64 a (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b b))) (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 6 binary64))) (/.f64 c (*.f64 b b)))) (neg.f64 (/.f64 b a)))
(* -1 (/ c b))
(/.f64 c (neg.f64 b))
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))
(/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) (neg.f64 b))
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))
(/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b))) c)) (neg.f64 b))
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))
(/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64))) (*.f64 a (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b))) c))) (neg.f64 b))
(* -1 (/ b a))
(neg.f64 (/.f64 b a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/.f64 (-.f64 (*.f64 c (/.f64 a b)) b) a)
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/.f64 (fma.f64 a (fma.f64 c (*.f64 c (/.f64 a (*.f64 b (*.f64 b b)))) (/.f64 c b)) (neg.f64 b)) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)
(/.f64 (fma.f64 a (fma.f64 a (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 c c))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b)))) (/.f64 c b)) (neg.f64 b)) a)
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -1/2 binary64)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(*.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 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))))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 a a))))) (/.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) (*.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 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)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))
(fma.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 b a)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 a a))))) (*.f64 b b)) (sqrt.f64 #s(literal -4 binary64))) (*.f64 #s(literal -1/64 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 c (*.f64 c c))))) (*.f64 (*.f64 b b) (*.f64 b b))) (sqrt.f64 #s(literal -4 binary64))))))
(* (sqrt (/ c a)) (sqrt -1))
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 (*.f64 (*.f64 b b) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/8 binary64)) (*.f64 b #s(literal 1/2 binary64))) a))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (-.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 (fma.f64 #s(literal -1/128 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 c c))))) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 b b) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))))) a)) a))
(* -1 (/ b a))
(neg.f64 (/.f64 b a))
(+ (* -1 (/ b a)) (/ c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))
(-.f64 (fma.f64 c (*.f64 c (/.f64 a (*.f64 b (*.f64 b b)))) (/.f64 c b)) (/.f64 b a))
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))
(fma.f64 (*.f64 c c) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 c (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))) (/.f64 a (*.f64 b (*.f64 b b)))) (-.f64 (/.f64 c b) (/.f64 b a)))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -1/2 binary64)))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))
(*.f64 (*.f64 c #s(literal -1/2 binary64)) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (/.f64 b (*.f64 c a))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))
(*.f64 c (fma.f64 (/.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))))) (*.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (/.f64 b (*.f64 c a))))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))
(*.f64 c (fma.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (/.f64 b (*.f64 c a))) (fma.f64 #s(literal -1/64 binary64) (/.f64 (*.f64 (*.f64 (*.f64 b b) (*.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)))))) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (/.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c)))))))))
(* (sqrt (/ c a)) (sqrt -1))
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))
(*.f64 (-.f64 (/.f64 (*.f64 b #s(literal 1/2 binary64)) (*.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))))) (neg.f64 c))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))
(*.f64 c (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 a a))))) (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/8 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 b a))) c)))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)))))
(*.f64 c (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b a)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 b b) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c (*.f64 a (*.f64 a a)))))) (*.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal 1/128 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (pow.f64 a #s(literal 5 binary64)))))))) c)) c)))
(* -4 (* a c))
(*.f64 c (*.f64 a #s(literal -4 binary64)))
(- (pow b 2) (* 4 (* a c)))
(fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))
(- (pow b 2) (* 4 (* a c)))
(fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))
(- (pow b 2) (* 4 (* a c)))
(fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(*.f64 (*.f64 b b) (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 c a) (*.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 c a) (*.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 c a) (*.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 c a) (*.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 c a) (*.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 c a) (*.f64 b b)) #s(literal 1 binary64)))
(pow b 2)
(*.f64 b b)
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))
(* -4 (* a c))
(*.f64 c (*.f64 a #s(literal -4 binary64)))
(* a (- (/ (pow b 2) a) (* 4 c)))
(*.f64 a (fma.f64 c #s(literal -4 binary64) (/.f64 (*.f64 b b) a)))
(* a (- (/ (pow b 2) a) (* 4 c)))
(*.f64 a (fma.f64 c #s(literal -4 binary64) (/.f64 (*.f64 b b) a)))
(* a (- (/ (pow b 2) a) (* 4 c)))
(*.f64 a (fma.f64 c #s(literal -4 binary64) (/.f64 (*.f64 b b) a)))
(* -4 (* a c))
(*.f64 c (*.f64 a #s(literal -4 binary64)))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
(*.f64 a (fma.f64 c #s(literal -4 binary64) (/.f64 (*.f64 b b) a)))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
(*.f64 a (fma.f64 c #s(literal -4 binary64) (/.f64 (*.f64 b b) a)))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
(*.f64 a (fma.f64 c #s(literal -4 binary64) (/.f64 (*.f64 b b) a)))
(pow b 2)
(*.f64 b b)
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))
(* -4 (* a c))
(*.f64 c (*.f64 a #s(literal -4 binary64)))
(* c (- (/ (pow b 2) c) (* 4 a)))
(*.f64 c (fma.f64 a #s(literal -4 binary64) (/.f64 (*.f64 b b) c)))
(* c (- (/ (pow b 2) c) (* 4 a)))
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(*.f64 a (fma.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 c (*.f64 c c))))) (*.f64 (*.f64 b b) (*.f64 b b))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/32 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 a a))))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(*.f64 a (fma.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 c (*.f64 c c))))) (*.f64 (*.f64 b b) (*.f64 b b))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/32 binary64) (fma.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 7 binary64))))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 a a))))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (sqrt.f64 (*.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -2 binary64)))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.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 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 c (*.f64 c c))))) (*.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/64 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 a a))))) (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) #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 (pow.f64 a #s(literal 5 binary64)) (*.f64 c (*.f64 c c))))) (*.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/64 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 7 binary64))))) (*.f64 (*.f64 (pow.f64 b #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/512 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.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))
b
(+ b (* -2 (/ (* a c) b)))
(fma.f64 c (*.f64 #s(literal -2 binary64) (/.f64 a 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 c (/.f64 a (*.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 a (*.f64 a a)) (*.f64 (/.f64 c (pow.f64 b #s(literal 5 binary64))) #s(literal -4 binary64)) (/.f64 (*.f64 (*.f64 a a) #s(literal -2 binary64)) (*.f64 b (*.f64 b b)))) (*.f64 #s(literal -2 binary64) (/.f64 a b))) b)
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a)))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(*.f64 c (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c)) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 c 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 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 c c))))))))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(*.f64 c (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64)))))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/32 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 7 binary64))))) (*.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64))) #s(literal 1/16 binary64)) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c)) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 c c)))))))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (sqrt.f64 (*.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -2 binary64)))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(neg.f64 (*.f64 c (fma.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 c c)))))) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(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 1/4 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 b b) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 c c))))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64))))) (*.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/64 binary64)))))))
(* -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 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64))))) #s(literal -1/64 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 7 binary64))))) (*.f64 (*.f64 (pow.f64 b #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/512 binary64)) (fma.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 c c)))))) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))))))))

rewrite295.0ms (2.6%)

Memory
-6.2MiB live, 256.8MiB allocated
Rules
5 318×lower-fma.f64
5 318×lower-fma.f32
4 626×lower-*.f32
4 618×lower-*.f64
3 036×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01451
02351
18151
259148
0809344
Stop Event
iter limit
node limit
iter limit
Counts
5 → 512
Calls
Call 1
Inputs
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a))
(-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))
(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))))
(neg.f64 b)
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 a (*.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(+.f64 (/.f64 b (*.f64 a #s(literal 2 binary64))) (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64))))
(+.f64 (/.f64 b (*.f64 a #s(literal 2 binary64))) (*.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64)))))
(+.f64 (/.f64 b (*.f64 a #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (neg.f64 (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))))) (*.f64 a #s(literal -2 binary64))) (/.f64 b (*.f64 a #s(literal 2 binary64))))
(+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (/.f64 b (*.f64 a #s(literal 2 binary64))))
(+.f64 (*.f64 (/.f64 b (*.f64 a #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64))) #s(literal 1 binary64)))
(-.f64 (/.f64 b (*.f64 a #s(literal 2 binary64))) (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal 2 binary64))))
(-.f64 #s(literal 0 binary64) (/.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 (/.f64 (*.f64 b (*.f64 b b)) (fma.f64 b b (fma.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 (*.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 b (fma.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 (/.f64 (*.f64 b b) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (*.f64 a #s(literal 2 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 a #s(literal 2 binary64))))
(-.f64 (/.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 #s(literal 2 binary64) (fma.f64 b b (fma.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 (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 (*.f64 #s(literal 2 binary64) (fma.f64 b b (fma.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 b b) (*.f64 a (*.f64 #s(literal 2 binary64) (+.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 a (*.f64 #s(literal 2 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))))))
(-.f64 (/.f64 (*.f64 b (*.f64 a #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (*.f64 a a))) (/.f64 (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (*.f64 a a))))
(-.f64 (/.f64 (*.f64 (/.f64 b (*.f64 a #s(literal 2 binary64))) (/.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a a)))) (fma.f64 (/.f64 (sqrt.f64 (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)))))) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a a))))) (/.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal 2 binary64))) (/.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (*.f64 #s(literal 4 binary64) (*.f64 a a)))) (fma.f64 (/.f64 (sqrt.f64 (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)))))) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a a))))))
(-.f64 (/.f64 (/.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a a))) (/.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 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (*.f64 #s(literal 4 binary64) (*.f64 a a))) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64)))))
(fma.f64 b (/.f64 #s(literal 1/2 binary64) a) (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64))))
(fma.f64 b (/.f64 #s(literal 1/2 binary64) a) (*.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64)))))
(fma.f64 b (/.f64 #s(literal 1/2 binary64) a) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))))
(fma.f64 b (/.f64 #s(literal -1/2 binary64) a) (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64))))
(fma.f64 b (/.f64 #s(literal -1/2 binary64) a) (*.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64)))))
(fma.f64 b (/.f64 #s(literal -1/2 binary64) a) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))))
(fma.f64 b (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) a)) (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64))))
(fma.f64 b (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) a)) (*.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64)))))
(fma.f64 b (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) a)) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))))
(fma.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (/.f64 #s(literal -1/2 binary64) a) (/.f64 b (*.f64 a #s(literal 2 binary64))))
(fma.f64 (/.f64 b (*.f64 a #s(literal 2 binary64))) #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64))) #s(literal 1 binary64)))
(fma.f64 (/.f64 b (*.f64 a #s(literal 2 binary64))) #s(literal -1 binary64) (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64))))
(fma.f64 (/.f64 b (*.f64 a #s(literal 2 binary64))) #s(literal -1 binary64) (*.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64)))))
(fma.f64 (/.f64 b (*.f64 a #s(literal 2 binary64))) #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))))
(fma.f64 #s(literal 1 binary64) (/.f64 b (*.f64 a #s(literal 2 binary64))) (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 b (*.f64 a #s(literal 2 binary64))) (*.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64)))))
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(fabs.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))
(-.f64 #s(literal 0 binary64) (neg.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)))))
(neg.f64 (neg.f64 (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)))) (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 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a c) (fma.f64 (*.f64 a c) #s(literal 16 binary64) (*.f64 (*.f64 b b) #s(literal 4 binary64)))))) (sqrt.f64 (fma.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) #s(literal -64 binary64) (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b))) (sqrt.f64 (fma.f64 (*.f64 a (*.f64 c (*.f64 a c))) #s(literal -16 binary64) (*.f64 b (*.f64 b (*.f64 b b)))))))
(/.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) #s(literal -64 binary64) (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))))) (sqrt.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a c) (fma.f64 (*.f64 a c) #s(literal 16 binary64) (*.f64 (*.f64 b b) #s(literal 4 binary64)))))))
(/.f64 (sqrt.f64 (fma.f64 (*.f64 a (*.f64 c (*.f64 a c))) #s(literal -16 binary64) (*.f64 b (*.f64 b (*.f64 b b))))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.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 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b))))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) #s(literal -64 binary64) (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b)))))))) (neg.f64 (sqrt.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a c) (fma.f64 (*.f64 a c) #s(literal 16 binary64) (*.f64 (*.f64 b b) #s(literal 4 binary64))))))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 a (*.f64 c (*.f64 a c))) #s(literal -16 binary64) (*.f64 b (*.f64 b (*.f64 b b)))))) (neg.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b)))))
(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 a (*.f64 c (*.f64 (*.f64 a c) #s(literal 16 binary64))) (*.f64 b (*.f64 b (*.f64 b b)))) #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 #s(literal 1 binary64) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))
(*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) #s(literal -64 binary64) (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a c) (fma.f64 (*.f64 a c) #s(literal 16 binary64) (*.f64 (*.f64 b b) #s(literal 4 binary64)))))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) #s(literal -64 binary64) (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a c) (fma.f64 (*.f64 a c) #s(literal 16 binary64) (*.f64 (*.f64 b b) #s(literal 4 binary64))))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) #s(literal -64 binary64) (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a c) (fma.f64 (*.f64 a c) #s(literal 16 binary64) (*.f64 (*.f64 b b) #s(literal 4 binary64))))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 a (*.f64 c (*.f64 a c))) #s(literal -16 binary64) (*.f64 b (*.f64 b (*.f64 b b))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 a (*.f64 c (*.f64 a c))) #s(literal -16 binary64) (*.f64 b (*.f64 b (*.f64 b b))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b)))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 a (*.f64 c (*.f64 a c))) #s(literal -16 binary64) (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 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)))))))

eval167.0ms (1.5%)

Memory
-7.4MiB live, 157.3MiB allocated
Compiler

Compiled 25 299 to 2 235 computations (91.2% saved)

prune128.0ms (1.1%)

Memory
36.5MiB live, 278.6MiB allocated
Pruning

16 alts after pruning (16 fresh and 0 done)

PrunedKeptTotal
New64916665
Fresh000
Picked101
Done000
Total65016666
Accuracy
95.9%
Counts
666 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.8%
(fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64))))
24.0%
(/.f64 (fma.f64 b b (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))))
33.7%
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 2 binary64) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))))
24.8%
(/.f64 (-.f64 (*.f64 (*.f64 b #s(literal 1/2 binary64)) a) (*.f64 a (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) #s(literal 1/2 binary64)))) (*.f64 a a))
49.7%
(/.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))
56.0%
(/.f64 (-.f64 (neg.f64 b) (/.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 2 binary64) a))
33.5%
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 #s(literal 2 binary64) a))
36.1%
(/.f64 (-.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (fma.f64 c (*.f64 #s(literal -2 binary64) (/.f64 a b)) b))) (*.f64 #s(literal 2 binary64) a))
29.3%
(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b)) (*.f64 #s(literal 2 binary64) a))
33.7%
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))))
33.7%
(/.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))
56.7%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
36.1%
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (-.f64 (*.f64 c (/.f64 a b)) b) a))
36.2%
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b)))
36.1%
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a)))
36.1%
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (/.f64 b a)))
Compiler

Compiled 590 to 366 computations (38% saved)

simplify398.0ms (3.5%)

Memory
-13.3MiB live, 147.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
cost-diff0
(neg.f64 b)
cost-diff128
(-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))))
cost-diff128
(/.f64 (-.f64 (neg.f64 b) (/.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 2 binary64) a))
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 a (*.f64 c #s(literal -2 binary64)))
cost-diff0
(/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b)
cost-diff0
#s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b))
cost-diff0
(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b)) (*.f64 #s(literal 2 binary64) a))
cost-diff0
(/.f64 b a)
cost-diff0
(neg.f64 (/.f64 b a))
cost-diff0
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (/.f64 b 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
3 104×lower-fma.f32
3 102×lower-fma.f64
2 152×lower-*.f32
2 138×lower-*.f64
1 380×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045343
069343
1131336
2274334
3671333
41258333
52300333
63834333
75009333
85921333
96082333
106157333
116190333
126240333
136579333
146715333
156723333
166725333
176727333
186731333
196731333
206789333
216837333
226961333
236985333
246985333
256987333
06987332
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.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) a)
#s(literal -1/2 binary64)
a
(+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))
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 c (*.f64 a #s(literal -4 binary64)))
c
(*.f64 a #s(literal -4 binary64))
#s(literal -4 binary64)
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (/.f64 b a)))
(neg.f64 (/.f64 b a))
(/.f64 b a)
b
a
(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b)) (*.f64 #s(literal 2 binary64) a))
#s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b))
(/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b)
(*.f64 a (*.f64 c #s(literal -2 binary64)))
a
(*.f64 c #s(literal -2 binary64))
c
#s(literal -2 binary64)
b
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 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))
#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 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
#s(literal 1 binary64)
(-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))
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 c (*.f64 a #s(literal -4 binary64)))
c
(*.f64 a #s(literal -4 binary64))
a
#s(literal -4 binary64)
(/.f64 (-.f64 (neg.f64 b) (/.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 2 binary64) a))
(-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))))
(neg.f64 b)
b
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
#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) (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 c (*.f64 a #s(literal -4 binary64)))
c
(*.f64 a #s(literal -4 binary64))
a
#s(literal -4 binary64)
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
Outputs
(*.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 (+.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 -1/2 binary64) a)
#s(literal -1/2 binary64)
a
(+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))
(+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))
b
(sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))
(sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))
(fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))
(*.f64 c (*.f64 a #s(literal -4 binary64)))
c
(*.f64 a #s(literal -4 binary64))
#s(literal -4 binary64)
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (/.f64 b a)))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 b (neg.f64 a)))
(neg.f64 (/.f64 b a))
(/.f64 b (neg.f64 a))
(/.f64 b a)
b
a
(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b)) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b)) (*.f64 a #s(literal 2 binary64)))
#s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b))
(/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b)
(*.f64 a (*.f64 c #s(literal -2 binary64)))
a
(*.f64 c #s(literal -2 binary64))
c
#s(literal -2 binary64)
b
(*.f64 #s(literal 2 binary64) a)
(*.f64 a #s(literal 2 binary64))
#s(literal 2 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 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (*.f64 a #s(literal 2 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))))))) a)
(/.f64 a (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))
(/.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 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))
#s(literal 1 binary64)
(-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))
(-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))
b
(sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))
(sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))
(fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))
(*.f64 c (*.f64 a #s(literal -4 binary64)))
c
(*.f64 a #s(literal -4 binary64))
a
#s(literal -4 binary64)
(/.f64 (-.f64 (neg.f64 b) (/.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 2 binary64) a))
(/.f64 (fma.f64 #s(literal -1/2 binary64) b (/.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))) a)
(-.f64 (neg.f64 b) (/.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 (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) b)
(neg.f64 b)
b
(/.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) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))
#s(literal 1 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))
(/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))
(/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))
(fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))
(*.f64 c (*.f64 a #s(literal -4 binary64)))
c
(*.f64 a #s(literal -4 binary64))
a
#s(literal -4 binary64)
(*.f64 #s(literal 2 binary64) a)
(*.f64 a #s(literal 2 binary64))
#s(literal 2 binary64)

localize212.0ms (1.9%)

Memory
-23.5MiB live, 260.1MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.7538979928166807
(fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))
accuracy3.7971395940838493
(/.f64 (-.f64 (neg.f64 b) (/.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 2 binary64) a))
accuracy12.301700464149379
(-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))))
accuracy21.110534933146457
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))
accuracy0.7538979928166807
(fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))
accuracy4.182324118283517
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) a)
accuracy12.683922561029524
(-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))
accuracy21.72701588700147
(sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))
accuracy0
(*.f64 #s(literal 2 binary64) a)
accuracy3.7078373762005494
(/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b)
accuracy3.7971395940838493
(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b)) (*.f64 #s(literal 2 binary64) a))
accuracy40.84889895283891
#s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b))
accuracy0
(/.f64 b a)
accuracy0
(neg.f64 (/.f64 b a))
accuracy40.91304972509375
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (/.f64 b a)))
accuracy0.7538979928166807
(fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))
accuracy3.898702110701175
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
accuracy12.301700464149379
(+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))
accuracy21.72701588700147
(sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))
Samples
82.0ms86×2valid
32.0ms72×1valid
24.0ms84×0valid
11.0ms14×3valid
Compiler

Compiled 340 to 42 computations (87.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 83.0ms
ival-div: 25.0ms (30.3% of total)
ival-mult: 17.0ms (20.6% of total)
adjust: 13.0ms (15.8% of total)
ival-sqrt: 11.0ms (13.3% of total)
ival-sub: 8.0ms (9.7% of total)
ival-add: 5.0ms (6.1% of total)
ival-neg: 2.0ms (2.4% of total)
exact: 1.0ms (1.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series96.0ms (0.9%)

Memory
-1.0MiB live, 154.5MiB allocated
Counts
22 → 684
Calls
Call 1
Inputs
#s(alt (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (patch (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1/2 binary64) a) (patch (/.f64 #s(literal -1/2 binary64) a) #<representation binary64>) () ())
#s(alt (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (patch (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (patch (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (/.f64 b a))) (patch #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (/.f64 b a))) #<representation binary64>) () ())
#s(alt (neg.f64 (/.f64 b a)) (patch (neg.f64 (/.f64 b a)) #<representation binary64>) () ())
#s(alt (/.f64 b a) (patch (/.f64 b a) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b)) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b)) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())
#s(alt #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b)) (patch #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b) (patch (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b) #<representation binary64>) () ())
#s(alt (*.f64 a (*.f64 c #s(literal -2 binary64))) (patch (*.f64 a (*.f64 c #s(literal -2 binary64))) #<representation binary64>) () ())
#s(alt (/.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)) (patch (/.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)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) a) (patch (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) a) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (patch (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) #<representation binary64>) () ())
#s(alt (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (patch (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 (neg.f64 b) (/.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 2 binary64) a)) (patch (/.f64 (-.f64 (neg.f64 b) (/.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 2 binary64) a)) #<representation binary64>) () ())
#s(alt (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (patch (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) #<representation binary64>) () ())
#s(alt (neg.f64 b) (patch (neg.f64 b) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (patch (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) #<representation binary64>) () ())
#s(alt (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (patch (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 2 binary64) a) (patch (*.f64 #s(literal 2 binary64) a) #<representation binary64>) () ())
#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) #<representation binary64>) () ())
Outputs
#s(alt (* -1 (/ b a)) (taylor 0 a) (#s(alt (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (patch (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 b) (/ (* a c) b)) a) (taylor 0 a) (#s(alt (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (patch (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a) (taylor 0 a) (#s(alt (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (patch (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a) (taylor 0 a) (#s(alt (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (patch (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (taylor inf a) (#s(alt (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (patch (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) (taylor inf a) (#s(alt (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (patch (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))))) (taylor inf a) (#s(alt (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (patch (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3))))))) (taylor inf a) (#s(alt (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (patch (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ c a)) (sqrt -1)) (taylor -inf a) (#s(alt (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (patch (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) (taylor -inf a) (#s(alt (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (patch (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) (taylor -inf a) (#s(alt (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (patch (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) (taylor -inf a) (#s(alt (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (patch (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (taylor 0 b) (#s(alt (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (patch (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) (taylor 0 b) (#s(alt (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (patch (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) (taylor 0 b) (#s(alt (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (patch (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a))))) (taylor 0 b) (#s(alt (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (patch (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ b a)) (taylor inf b) (#s(alt (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (patch (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) #<representation binary64>) () ())) ())
#s(alt (* b (- (/ c (pow b 2)) (/ 1 a))) (taylor inf b) (#s(alt (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (patch (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) #<representation binary64>) () ())) ())
#s(alt (* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))) (taylor inf b) (#s(alt (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (patch (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) #<representation binary64>) () ())) ())
#s(alt (* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a))) (taylor inf b) (#s(alt (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (patch (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ c b)) (taylor -inf b) (#s(alt (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (patch (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) #<representation binary64>) () ())) ())
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#s(alt (+ (* a (+ (* 2 (/ c (pow b 3))) (* a (+ (* -1/2 (* a (* b (+ (* -64 (/ (pow c 3) (pow b 8))) (* -2 (/ (* c (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6))))) (pow b 2))))))) (* -1/2 (* b (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6)))))))))) (/ 1 b)) (taylor 0 a) (#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 (* a c))) (sqrt -1/4)) (taylor inf a) (#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4))) (taylor inf a) (#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4)))) (taylor inf a) (#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (* (sqrt (/ c (pow a 7))) (/ (+ (* 1/1024 (/ (* a (pow b 4)) (* (pow c 3) (pow (sqrt -1/4) 2)))) (* 1/256 (/ (pow b 6) (pow c 4)))) (sqrt -1/4)))) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4))))) (taylor inf a) (#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (taylor -inf a) (#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))) (taylor -inf a) (#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))) (taylor -inf a) (#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* 1/64 (* (sqrt (/ a (pow c 5))) (* (pow b 4) (sqrt -1)))) (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1/256 (/ (* a (pow b 4)) (pow c 3))) (* 1/256 (/ (pow b 6) (pow c 4))))))) (pow a 3))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))) (taylor -inf a) (#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) #<representation binary64>) () ())) ())
Calls

171 calls:

TimeVariablePointExpression
7.0ms
a
@-inf
(/ 1/2 (* (/ 1 (- b (sqrt (+ (* b b) (* c (* a -4)))))) a))
5.0ms
a
@-inf
(/ 1 (- b (sqrt (+ (* b b) (* c (* a -4))))))
4.0ms
a
@inf
(- b (sqrt (+ (* b b) (* c (* a -4)))))
3.0ms
a
@inf
(* (/ 1 (- b (sqrt (+ (* b b) (* c (* a -4)))))) a)
2.0ms
b
@0
(neg (/ b a))

simplify427.0ms (3.8%)

Memory
6.3MiB live, 621.5MiB allocated
Algorithm
egg-herbie
Rules
7 512×lower-*.f64
7 512×lower-*.f32
6 792×lower-fma.f64
6 792×lower-fma.f32
4 352×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0144614854
1478014550
0865613952
Stop Event
iter limit
node limit
Counts
684 → 678
Calls
Call 1
Inputs
(* -1 (/ b a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (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)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))
(* -1 (/ b a))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))
(* -1 (/ c b))
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))
(* -1 (/ b a))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))
(* (sqrt (/ c a)) (sqrt -1))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)))))
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(* (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))))))
(* (sqrt (* a c)) (sqrt -4))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))
b
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 b)
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
(* -1/2 (* (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 (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))
(* -1 (/ b a))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))
(* -1 (/ c b))
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))
(* -1 (/ b a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (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)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
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(* 2 (* (sqrt (* a c)) (sqrt -1)))
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(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* 1/2 (/ b a)))
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(/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b)
(/ b a)
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(/ c b)
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(* (sqrt (/ c a)) (sqrt -1))
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(* 1/2 (/ b c))
(* b (+ (* -1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c))))
(* b (- (+ (* -1 (/ (+ (* -1/2 (* (pow a 2) c)) (* (pow a 2) c)) (pow b 4))) (* 1/2 (/ 1 c))) (* 1/2 (/ a (pow b 2)))))
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(* 1/2 (/ a b))
(* -1 (/ (+ (* -1/2 a) (* -1/2 (/ (* (pow a 2) c) (pow b 2)))) b))
(* -1 (/ (+ (* -1 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (+ (* -1/2 a) (* -1/2 (/ (* (pow a 2) c) (pow b 2))))) b))
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(* 1/2 (/ b c))
(/ (+ (* -1/2 (/ (* a c) b)) (* 1/2 b)) c)
(/ (+ (* 1/2 b) (* c (- (* -1 (* c (+ (* -1/2 (/ (pow a 2) (pow b 3))) (/ (pow a 2) (pow b 3))))) (* 1/2 (/ a b))))) c)
(/ (+ (* 1/2 b) (* c (- (* c (- (* -1 (* c (+ (* -1 (/ (* a (+ (* -1/2 (/ (pow a 2) (pow b 3))) (/ (pow a 2) (pow b 3)))) (pow b 2))) (+ (* -1 (/ (pow a 3) (pow b 5))) (* 1/8 (/ (* b (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) a)))))) (+ (* -1/2 (/ (pow a 2) (pow b 3))) (/ (pow a 2) (pow b 3))))) (* 1/2 (/ a b))))) c)
(* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -4))))
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* -1 (/ b (pow (sqrt -4) 2)))) c)
(/ (- (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (pow c 2)))) (/ b (pow (sqrt -4) 2))) c)
(/ (- (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1/2 (/ (* (pow b 3) (pow c 2)) (* a (pow (sqrt -4) 4)))) (* (sqrt (/ c a)) (/ (* b (+ (* -1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3))))) (sqrt -4)))) (pow c 3)))) (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* (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 (/ (+ (* -1/2 (* (sqrt (* a c)) (sqrt -1))) (* -1/4 b)) c))
(* -1 (/ (+ (* -1 (/ (- (+ (* -1/16 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) (* -1/4 (* b c))) c)) (* -1/2 (* (sqrt (* a c)) (sqrt -1)))) c))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/32 (/ (* (pow b 3) c) a)) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))))) c)) (* -1/4 (* b c))) c)) (* -1/2 (* (sqrt (* a c)) (sqrt -1)))) c))
(* 1/2 (/ b c))
(+ (* -1/2 (/ a b)) (* 1/2 (/ b c)))
(+ (* 1/2 (/ b c)) (* a (- (* -1 (* a (+ (* -1/2 (/ c (pow b 3))) (/ c (pow b 3))))) (* 1/2 (/ 1 b)))))
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(* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -4))))
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(* 1/2 (* (sqrt (/ a c)) (sqrt -1)))
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(* -1 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))
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(* 1/2 (/ b (* a c)))
(* b (- (* 1/2 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b 2)))))
(* b (- (+ (* -1 (/ (+ (* -1/2 (* a c)) (* a c)) (pow b 4))) (* 1/2 (/ 1 (* a c)))) (* 1/2 (/ 1 (pow b 2)))))
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(/ 1/2 b)
(* -1 (/ (- (* -1/2 (/ (* a c) (pow b 2))) 1/2) b))
(* -1 (/ (- (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 1/2 (* 1/2 (/ (* a c) (pow b 2))))) b))
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(* 1/2 (/ b (* a c)))
(/ (+ (* -1/2 (/ c b)) (* 1/2 (/ b a))) c)
(/ (+ (* 1/2 (/ b a)) (* c (- (* -1 (* c (+ (* -1/2 (/ a (pow b 3))) (/ a (pow b 3))))) (* 1/2 (/ 1 b))))) c)
(/ (+ (* 1/2 (/ b a)) (* c (- (* c (- (* -1 (* c (+ (* -1 (/ (* a (+ (* -1/2 (/ a (pow b 3))) (/ a (pow b 3)))) (pow b 2))) (+ (* -1 (/ (pow a 2) (pow b 5))) (* 1/8 (/ (* b (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (pow a 2))))))) (+ (* -1/2 (/ a (pow b 3))) (/ a (pow b 3))))) (* 1/2 (/ 1 b))))) c)
(* -1 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))
(/ (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* -1 (/ b (* a (pow (sqrt -4) 2))))) c)
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(/ (- (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1/2 (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -4) 4)))) (* (sqrt (/ c a)) (/ (* b (+ (* -1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (sqrt -4)))) (pow c 3)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* (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 (/ (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -1))) (* -1/4 (/ b a))) c))
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(* 1/2 (/ b (* a c)))
(/ (+ (* -1/2 (/ a b)) (* 1/2 (/ b c))) a)
(/ (+ (* 1/2 (/ b c)) (* a (- (* -1 (* a (+ (* -1/2 (/ c (pow b 3))) (/ c (pow b 3))))) (* 1/2 (/ 1 b))))) a)
(/ (+ (* 1/2 (/ b c)) (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* c (+ (* -1/2 (/ c (pow b 3))) (/ c (pow b 3)))) (pow b 2))) (+ (* -1 (/ (pow c 2) (pow b 5))) (* 1/8 (/ (* b (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) (pow c 2))))))) (+ (* -1/2 (/ c (pow b 3))) (/ c (pow b 3))))) (* 1/2 (/ 1 b))))) a)
(* -1 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))
(/ (+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* -1 (/ b (* c (pow (sqrt -4) 2))))) a)
(/ (- (+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (pow a 2)))) (/ b (* c (pow (sqrt -4) 2)))) a)
(/ (- (+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (pow b 3)) (* (pow c 2) (pow (sqrt -4) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (sqrt -4)))) (pow a 3)))) (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* (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 (/ (+ (* -1/2 (* (sqrt (/ a c)) (sqrt -1))) (* -1/4 (/ b c))) a))
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(* -1 (* (sqrt (* a c)) (sqrt -4)))
(- b (* (sqrt (* a c)) (sqrt -4)))
(- (* b (+ 1 (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4)))
(- (* b (+ 1 (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))) (* (sqrt (* a c)) (sqrt -4)))
(* 2 (/ (* a c) b))
(/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) b)
(/ (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (- (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b)
(* 2 b)
(* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 2)))
(* -1 (* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2)))))))
(* -1 (* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* 2 (/ (* a c) b))
(* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b))))
(* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b))))
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(* -1 (* (sqrt (* a c)) (sqrt -4)))
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(* c (- (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ b c)) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* 2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (- (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (- (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (- (* -1 (/ (+ b (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* 2 (/ (* a c) b))
(* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b))))
(* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b))))
(* a (- (* a (- (* a (- (* 1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)) (* -4 (/ (pow c 3) (pow b 5))))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b))))
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(* a (- (/ b a) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ b a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* 2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (- (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (- (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (- (* -1 (/ (+ b (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -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 (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))
(* -1 (/ b a))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))
(* -1 (/ c b))
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))
(* -1 (/ b a))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))
(* (sqrt (/ c a)) (sqrt -1))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))
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(* -1 (/ b a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (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)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
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(* -1 (* (sqrt (* a c)) (sqrt -4)))
(- (* -1 b) (* (sqrt (* a c)) (sqrt -4)))
(- (* b (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(- (* b (- (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(* -2 b)
(* b (- (* 2 (/ (* a c) (pow b 2))) 2))
(* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -2 (/ (* a c) b))
(* -1 (/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) 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 (/ (- (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b))
(* -2 b)
(- (* 2 (/ (* a c) b)) (* 2 b))
(- (* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) (* 2 b))
(- (* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) (* 2 b))
(* -1 (* (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 (- (/ b c) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -2 b)
(- (* 2 (/ (* a c) b)) (* 2 b))
(- (* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) (* 2 b))
(- (* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) (* 2 b))
(* -1 (* (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 (- (/ b a) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 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 (* 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))))
(* 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 (/ 1 (* a c))) (sqrt -1/4))
(+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4)))
(+ (* (sqrt (/ 1 (* a c))) (sqrt -1/4)) (* (pow b 2) (+ (* -1/2 (* (sqrt (* a c)) (/ (* (pow b 2) (+ (* 1/1024 (/ 1 (* (pow a 3) (* (pow c 3) (pow (sqrt -1/4) 2))))) (* 1/64 (/ 1 (* (pow a 3) (pow c 3)))))) (sqrt -1/4)))) (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (sqrt -1/4)))))))
(+ (* (sqrt (/ 1 (* a c))) (sqrt -1/4)) (* (pow b 2) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (sqrt -1/4)))) (* (pow b 2) (+ (* -1/2 (* (sqrt (* a c)) (/ (* (pow b 2) (+ (* 1/32 (/ (+ (* 1/1024 (/ 1 (* (pow a 3) (* (pow c 3) (pow (sqrt -1/4) 2))))) (* 1/64 (/ 1 (* (pow a 3) (pow c 3))))) (* a (* c (pow (sqrt -1/4) 2))))) (* 1/256 (/ 1 (* (pow a 4) (pow c 4)))))) (sqrt -1/4)))) (* -1/2 (* (sqrt (* a c)) (/ (+ (* 1/1024 (/ 1 (* (pow a 3) (* (pow c 3) (pow (sqrt -1/4) 2))))) (* 1/64 (/ 1 (* (pow a 3) (pow c 3))))) (sqrt -1/4)))))))))
(/ 1 b)
(/ (+ 1 (* 2 (/ (* a c) (pow b 2)))) b)
(/ (+ 1 (+ (* -1/2 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 2 (/ (* a c) (pow b 2))))) b)
(/ (+ 1 (+ (* -1/2 (/ (+ (* -64 (* (pow a 3) (pow c 3))) (* -2 (* a (* c (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))))))) (pow b 6))) (+ (* -1/2 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 2 (/ (* a c) (pow b 2)))))) b)
(/ -1 b)
(* -1 (/ (+ 1 (* 2 (/ (* a c) (pow b 2)))) b))
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 2 (/ (* a c) (pow b 2))))) b))
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -64 (* (pow a 3) (pow c 3))) (* -2 (* a (* c (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))))))) (pow b 6))) (+ (* -1/2 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 2 (/ (* a c) (pow b 2)))))) b))
(/ 1 b)
(+ (* 2 (/ (* a c) (pow b 3))) (/ 1 b))
(+ (* c (+ (* -1/2 (* b (* c (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6))))))) (* 2 (/ a (pow b 3))))) (/ 1 b))
(+ (* c (+ (* 2 (/ a (pow b 3))) (* c (+ (* -1/2 (* b (* c (+ (* -64 (/ (pow a 3) (pow b 8))) (* -2 (/ (* a (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6))))) (pow b 2))))))) (* -1/2 (* b (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6)))))))))) (/ 1 b))
(* (sqrt (/ 1 (* a c))) (sqrt -1/4))
(+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4)))
(+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4))))
(+ (* -1/2 (* (sqrt (/ a (pow c 7))) (/ (+ (* 1/1024 (/ (* (pow b 4) c) (* (pow a 3) (pow (sqrt -1/4) 2)))) (* 1/256 (/ (pow b 6) (pow a 4)))) (sqrt -1/4)))) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4)))))
(* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))
(+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(+ (* -1 (/ (+ (* 1/64 (* (sqrt (/ c (pow a 5))) (* (pow b 4) (sqrt -1)))) (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1/256 (/ (* (pow b 4) c) (pow a 3))) (* 1/256 (/ (pow b 6) (pow a 4))))))) (pow c 3))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(/ 1 b)
(+ (* 2 (/ (* a c) (pow b 3))) (/ 1 b))
(+ (* a (+ (* -1/2 (* a (* b (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6))))))) (* 2 (/ c (pow b 3))))) (/ 1 b))
(+ (* a (+ (* 2 (/ c (pow b 3))) (* a (+ (* -1/2 (* a (* b (+ (* -64 (/ (pow c 3) (pow b 8))) (* -2 (/ (* c (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6))))) (pow b 2))))))) (* -1/2 (* b (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6)))))))))) (/ 1 b))
(* (sqrt (/ 1 (* a c))) (sqrt -1/4))
(+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4)))
(+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4))))
(+ (* -1/2 (* (sqrt (/ c (pow a 7))) (/ (+ (* 1/1024 (/ (* a (pow b 4)) (* (pow c 3) (pow (sqrt -1/4) 2)))) (* 1/256 (/ (pow b 6) (pow c 4)))) (sqrt -1/4)))) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4)))))
(* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))
(+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(+ (* -1 (/ (+ (* 1/64 (* (sqrt (/ a (pow c 5))) (* (pow b 4) (sqrt -1)))) (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1/256 (/ (* a (pow b 4)) (pow c 3))) (* 1/256 (/ (pow b 6) (pow c 4))))))) (pow a 3))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
Outputs
(* -1 (/ b a))
(/.f64 b (neg.f64 a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/.f64 (fma.f64 a (/.f64 c b) (neg.f64 b)) a)
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/.f64 (fma.f64 a (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))) (/.f64 c b)) (neg.f64 b)) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)
(/.f64 (fma.f64 a (fma.f64 a (fma.f64 #s(literal 2 binary64) (/.f64 (*.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)) (neg.f64 b)) 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 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(*.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 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))))))
(fma.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 b a)) (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))
(fma.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 b a)) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (pow.f64 a #s(literal 5 binary64))))) (pow.f64 b #s(literal 4 binary64))) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))))))
(* (sqrt (/ c a)) (sqrt -1))
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (*.f64 b #s(literal -1/2 binary64)) a))
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 b #s(literal 1/2 binary64))) a))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (-.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 (fma.f64 #s(literal -1/128 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 a c))) (*.f64 (*.f64 b b) (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 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(*.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(fma.f64 b (fma.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (/.f64 b (sqrt.f64 #s(literal -4 binary64)))) (/.f64 #s(literal -1/2 binary64) a)) (*.f64 #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 (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))
(fma.f64 b (fma.f64 b (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (pow.f64 a #s(literal 5 binary64)))))) (/.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) (*.f64 #s(literal -1/4 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (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 (/ b a))
(/.f64 b (neg.f64 a))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a)))
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))
(*.f64 b (+.f64 (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 4 binary64))) (/.f64 c (*.f64 b b))) (/.f64 #s(literal -1 binary64) a)))
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))
(*.f64 b (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a a)) (pow.f64 b #s(literal 6 binary64))) (+.f64 (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 4 binary64))) (/.f64 c (*.f64 b b))) (/.f64 #s(literal -1 binary64) a))))
(* -1 (/ c b))
(/.f64 c (neg.f64 b))
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))
(/.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c) (neg.f64 b))
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))
(/.f64 (+.f64 c (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a a)) (pow.f64 b #s(literal 4 binary64))) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)))) (neg.f64 b))
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))
(/.f64 (+.f64 c (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) #s(literal 20 binary64)) (*.f64 a (pow.f64 b #s(literal 6 binary64)))) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a a)) (pow.f64 b #s(literal 4 binary64))) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))))) (neg.f64 b))
(* -1 (/ b a))
(/.f64 b (neg.f64 a))
(+ (* -1 (/ b a)) (/ c b))
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(/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal -12 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 a (/.f64 c (*.f64 b b)))))) b)
(/ (+ 1 (+ (* -1/2 (/ (+ (* -64 (* (pow a 3) (pow c 3))) (* -2 (* a (* c (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))))))) (pow b 6))) (+ (* -1/2 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 2 (/ (* a c) (pow b 2)))))) b)
(/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (*.f64 a c) (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal -12 binary64))) (*.f64 (*.f64 #s(literal -64 binary64) (*.f64 a (*.f64 a a))) (*.f64 c (*.f64 c c)))) (pow.f64 b #s(literal 6 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal -12 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 a (/.f64 c (*.f64 b b))))))) b)
(/ -1 b)
(/.f64 #s(literal -1 binary64) b)
(* -1 (/ (+ 1 (* 2 (/ (* a c) (pow b 2)))) b))
(/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal 1 binary64)) (neg.f64 b))
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 2 (/ (* a c) (pow b 2))))) b))
(/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal -12 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 a (/.f64 c (*.f64 b b)))))) (neg.f64 b))
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -64 (* (pow a 3) (pow c 3))) (* -2 (* a (* c (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))))))) (pow b 6))) (+ (* -1/2 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 2 (/ (* a c) (pow b 2)))))) b))
(/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (*.f64 a c) (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal -12 binary64))) (*.f64 (*.f64 #s(literal -64 binary64) (*.f64 a (*.f64 a a))) (*.f64 c (*.f64 c c)))) (pow.f64 b #s(literal 6 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal -12 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 a (/.f64 c (*.f64 b b))))))) (neg.f64 b))
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(+ (* 2 (/ (* a c) (pow b 3))) (/ 1 b))
(fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 a c) (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) b))
(+ (* c (+ (* -1/2 (* b (* c (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6))))))) (* 2 (/ a (pow b 3))))) (/ 1 b))
(fma.f64 c (fma.f64 #s(literal 2 binary64) (/.f64 a (*.f64 b (*.f64 b b))) (*.f64 (*.f64 b #s(literal -1/2 binary64)) (*.f64 c (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 6 binary64))) #s(literal -12 binary64))))) (/.f64 #s(literal 1 binary64) b))
(+ (* c (+ (* 2 (/ a (pow b 3))) (* c (+ (* -1/2 (* b (* c (+ (* -64 (/ (pow a 3) (pow b 8))) (* -2 (/ (* a (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6))))) (pow b 2))))))) (* -1/2 (* b (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6)))))))))) (/ 1 b))
(fma.f64 c (fma.f64 c (*.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 b c) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 a (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 6 binary64))) #s(literal -12 binary64))) (*.f64 b b)) (/.f64 (*.f64 #s(literal -64 binary64) (*.f64 a (*.f64 a a))) (pow.f64 b #s(literal 8 binary64)))) (*.f64 b (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 6 binary64))) #s(literal -12 binary64))))) (/.f64 (*.f64 a #s(literal 2 binary64)) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 1 binary64) b))
(* (sqrt (/ 1 (* a c))) (sqrt -1/4))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -1/4 binary64)))
(+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4)))
(fma.f64 #s(literal -1/32 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 a a))))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -1/4 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -1/4 binary64))))
(+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4))))
(fma.f64 #s(literal -1/32 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 a a))))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -1/4 binary64)))) (fma.f64 #s(literal -1/128 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 5 binary64))))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -1/4 binary64)))))
(+ (* -1/2 (* (sqrt (/ a (pow c 7))) (/ (+ (* 1/1024 (/ (* (pow b 4) c) (* (pow a 3) (pow (sqrt -1/4) 2)))) (* 1/256 (/ (pow b 6) (pow a 4)))) (sqrt -1/4)))) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4)))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 a (pow.f64 c #s(literal 7 binary64)))) (fma.f64 #s(literal 1/256 binary64) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal -1/256 binary64) (*.f64 c (pow.f64 b #s(literal 4 binary64)))) (*.f64 a (*.f64 a a))))) (sqrt.f64 #s(literal -1/4 binary64))) (fma.f64 #s(literal -1/32 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 a a))))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -1/4 binary64)))) (fma.f64 #s(literal -1/128 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 5 binary64))))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -1/4 binary64))))))
(* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))))
(+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(fma.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 a a)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))))))
(+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(fma.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 a a)))))) (fma.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 5 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))))))
(+ (* -1 (/ (+ (* 1/64 (* (sqrt (/ c (pow a 5))) (* (pow b 4) (sqrt -1)))) (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1/256 (/ (* (pow b 4) c) (pow a 3))) (* 1/256 (/ (pow b 6) (pow a 4))))))) (pow c 3))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(-.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 a a)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal 1/256 binary64) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal -1/256 binary64) (*.f64 c (pow.f64 b #s(literal 4 binary64)))) (*.f64 a (*.f64 a a))))) (*.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 5 binary64))))))) (*.f64 c (*.f64 c c))))
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(+ (* 2 (/ (* a c) (pow b 3))) (/ 1 b))
(fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 a c) (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) b))
(+ (* a (+ (* -1/2 (* a (* b (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6))))))) (* 2 (/ c (pow b 3))))) (/ 1 b))
(fma.f64 a (fma.f64 (*.f64 a #s(literal -1/2 binary64)) (*.f64 b (*.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 6 binary64))) #s(literal -12 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) c) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 1 binary64) b))
(+ (* a (+ (* 2 (/ c (pow b 3))) (* a (+ (* -1/2 (* a (* b (+ (* -64 (/ (pow c 3) (pow b 8))) (* -2 (/ (* c (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6))))) (pow b 2))))))) (* -1/2 (* b (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6)))))))))) (/ 1 b))
(fma.f64 a (fma.f64 a (*.f64 #s(literal -1/2 binary64) (fma.f64 a (*.f64 b (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 c (*.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 6 binary64))) #s(literal -12 binary64))) (*.f64 b b)) (/.f64 (*.f64 #s(literal -64 binary64) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 8 binary64))))) (*.f64 b (*.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 6 binary64))) #s(literal -12 binary64))))) (/.f64 (*.f64 #s(literal 2 binary64) c) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 1 binary64) b))
(* (sqrt (/ 1 (* a c))) (sqrt -1/4))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -1/4 binary64)))
(+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4)))
(fma.f64 #s(literal -1/32 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 a a))))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -1/4 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -1/4 binary64))))
(+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4))))
(fma.f64 #s(literal -1/32 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 a a))))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -1/4 binary64)))) (fma.f64 #s(literal -1/128 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 5 binary64))))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -1/4 binary64)))))
(+ (* -1/2 (* (sqrt (/ c (pow a 7))) (/ (+ (* 1/1024 (/ (* a (pow b 4)) (* (pow c 3) (pow (sqrt -1/4) 2)))) (* 1/256 (/ (pow b 6) (pow c 4)))) (sqrt -1/4)))) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4)))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 7 binary64)))) (fma.f64 #s(literal 1/256 binary64) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 c #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal -1/256 binary64) (*.f64 a (pow.f64 b #s(literal 4 binary64)))) (*.f64 c (*.f64 c c))))) (sqrt.f64 #s(literal -1/4 binary64))) (fma.f64 #s(literal -1/32 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 a a))))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -1/4 binary64)))) (fma.f64 #s(literal -1/128 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 5 binary64))))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -1/4 binary64))))))
(* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))))
(+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(fma.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 a a)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))))))
(+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(fma.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 a a)))))) (fma.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 5 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))))))
(+ (* -1 (/ (+ (* 1/64 (* (sqrt (/ a (pow c 5))) (* (pow b 4) (sqrt -1)))) (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1/256 (/ (* a (pow b 4)) (pow c 3))) (* 1/256 (/ (pow b 6) (pow c 4))))))) (pow a 3))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(-.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 a a)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))))) (/.f64 (fma.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a (pow.f64 c #s(literal 5 binary64))))) (*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 #s(literal 1/256 binary64) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 c #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal -1/256 binary64) (*.f64 a (pow.f64 b #s(literal 4 binary64)))) (*.f64 c (*.f64 c c)))))) (*.f64 a (*.f64 a a))))

rewrite362.0ms (3.2%)

Memory
11.9MiB live, 571.8MiB allocated
Rules
4 434×lower-/.f32
4 416×lower-/.f64
4 222×lower-*.f32
4 208×lower-*.f64
3 842×lower-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
045254
069242
1256232
22046232
08268232
Stop Event
iter limit
node limit
iter limit
Counts
22 → 1 619
Calls
Call 1
Inputs
(*.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) a)
(+.f64 b (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)))))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (/.f64 b a)))
(neg.f64 (/.f64 b a))
(/.f64 b a)
(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b)) (*.f64 #s(literal 2 binary64) a))
#s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b))
(/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b)
(*.f64 a (*.f64 c #s(literal -2 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 binary64) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) a)
(/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.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 (neg.f64 b) (/.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 2 binary64) a))
(-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))))
(neg.f64 b)
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (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 2 binary64) a)
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 a #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))))) #s(literal -1 binary64)))
(+.f64 (/.f64 b (*.f64 a #s(literal -2 binary64))) (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 a #s(literal -2 binary64))))
(+.f64 (/.f64 b (*.f64 a #s(literal -2 binary64))) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 a #s(literal 2 binary64)))))
(+.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 a #s(literal -2 binary64))) (/.f64 b (*.f64 a #s(literal -2 binary64))))
(-.f64 (/.f64 b (*.f64 a #s(literal -2 binary64))) (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 a #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 a #s(literal 2 binary64))) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) (*.f64 a #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 a #s(literal 2 binary64))) (/.f64 (-.f64 b (neg.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))))) (*.f64 a #s(literal 2 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 b b) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))))) (*.f64 a #s(literal -2 binary64))) (/.f64 (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))))) (*.f64 a #s(literal -2 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 b (*.f64 b b)) (fma.f64 b b (fma.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))))) (*.f64 a #s(literal 2 binary64))) (/.f64 (/.f64 (*.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) (fma.f64 b b (fma.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))))) (*.f64 a #s(literal 2 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 b b) (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))))) (*.f64 a #s(literal 2 binary64))) (/.f64 (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))))) (*.f64 a #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 a #s(literal -2 binary64)))) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) (*.f64 a #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 a #s(literal -2 binary64)))) (/.f64 (-.f64 b (neg.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))))) (neg.f64 (*.f64 a #s(literal -2 binary64)))))
(-.f64 (/.f64 (/.f64 (*.f64 b (*.f64 b b)) (fma.f64 b b (fma.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))))) (neg.f64 (*.f64 a #s(literal -2 binary64)))) (/.f64 (/.f64 (*.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) (fma.f64 b b (fma.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))))) (neg.f64 (*.f64 a #s(literal -2 binary64)))))
(-.f64 (/.f64 (/.f64 (*.f64 b b) (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))))) (neg.f64 (*.f64 a #s(literal -2 binary64)))) (/.f64 (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))))) (neg.f64 (*.f64 a #s(literal -2 binary64)))))
(-.f64 (/.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a #s(literal 2 binary64)) (fma.f64 b b (fma.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))))) (/.f64 (*.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) (*.f64 (*.f64 a #s(literal 2 binary64)) (fma.f64 b b (fma.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))))))
(-.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 2 binary64)) (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))))) (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) (*.f64 (*.f64 a #s(literal 2 binary64)) (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))))))
(-.f64 (/.f64 (*.f64 (neg.f64 b) (*.f64 a #s(literal 2 binary64))) (*.f64 (*.f64 a #s(literal 2 binary64)) (*.f64 a #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 a #s(literal 2 binary64)) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) (*.f64 (*.f64 a #s(literal 2 binary64)) (*.f64 a #s(literal 2 binary64)))))
(-.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 b a) (*.f64 (/.f64 b a) (/.f64 b a)))) (fma.f64 (/.f64 b (*.f64 a #s(literal -2 binary64))) (/.f64 b (*.f64 a #s(literal -2 binary64))) (fma.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 a #s(literal 2 binary64))) (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 a #s(literal 2 binary64))) (*.f64 (/.f64 b (*.f64 a #s(literal -2 binary64))) (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 a #s(literal 2 binary64))))))) (/.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 a #s(literal 2 binary64))) (*.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 a #s(literal 2 binary64))) (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 a #s(literal 2 binary64))))) (fma.f64 (/.f64 b (*.f64 a #s(literal -2 binary64))) (/.f64 b (*.f64 a #s(literal -2 binary64))) (fma.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 a #s(literal 2 binary64))) (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 a #s(literal 2 binary64))) (*.f64 (/.f64 b (*.f64 a #s(literal -2 binary64))) (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 a #s(literal 2 binary64))))))))
(-.f64 (/.f64 (*.f64 (/.f64 b (*.f64 a #s(literal -2 binary64))) (/.f64 b (*.f64 a #s(literal -2 binary64)))) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) (*.f64 a #s(literal -2 binary64)))) (/.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 a #s(literal -2 binary64))) (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 a #s(literal -2 binary64)))) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) (*.f64 a #s(literal -2 binary64)))))
(-.f64 (/.f64 (*.f64 (/.f64 b (*.f64 a #s(literal -2 binary64))) (/.f64 b (*.f64 a #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 a #s(literal 2 binary64))))) (/.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 a #s(literal 2 binary64))) (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 a #s(literal 2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 a #s(literal 2 binary64))))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 a #s(literal -2 binary64))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 a #s(literal 2 binary64)))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) a) (/.f64 b (*.f64 a #s(literal -2 binary64))))
(fma.f64 (/.f64 #s(literal -1/2 binary64) a) b (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 a #s(literal -2 binary64))))
(fma.f64 (/.f64 #s(literal -1/2 binary64) a) b (neg.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 a #s(literal 2 binary64)))))
(fma.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (/.f64 b (*.f64 a #s(literal -2 binary64))))
(fma.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 b #s(literal 1 binary64)) (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 a #s(literal -2 binary64))))
(fma.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 b #s(literal 1 binary64)) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 a #s(literal 2 binary64)))))
(fma.f64 b (/.f64 #s(literal -1/2 binary64) a) (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 a #s(literal -2 binary64))))
(fma.f64 b (/.f64 #s(literal -1/2 binary64) a) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 a #s(literal 2 binary64)))))
(fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 a #s(literal -2 binary64))))
(fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 a #s(literal 2 binary64)))))
(fma.f64 (/.f64 b (neg.f64 a)) #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 a #s(literal -2 binary64))))
(fma.f64 (/.f64 b (neg.f64 a)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 a #s(literal 2 binary64)))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 b (neg.f64 a)) (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 a #s(literal -2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 b (neg.f64 a)) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 a #s(literal 2 binary64)))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) a) (/.f64 b (*.f64 a #s(literal -2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (neg.f64 a)) (/.f64 b (*.f64 a #s(literal -2 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) (*.f64 a #s(literal 2 binary64))) (/.f64 b (*.f64 a #s(literal -2 binary64))))
(fma.f64 (neg.f64 b) (/.f64 #s(literal 1/2 binary64) a) (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 a #s(literal -2 binary64))))
(fma.f64 (neg.f64 b) (/.f64 #s(literal 1/2 binary64) a) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 a #s(literal 2 binary64)))))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) a) (/.f64 b (*.f64 a #s(literal -2 binary64))))
(fma.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 a #s(literal 2 binary64))) (/.f64 b (*.f64 a #s(literal -2 binary64))))
(fma.f64 #s(literal -1 binary64) (/.f64 b (*.f64 a #s(literal 2 binary64))) (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 a #s(literal -2 binary64))))
(fma.f64 #s(literal -1 binary64) (/.f64 b (*.f64 a #s(literal 2 binary64))) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 a #s(literal 2 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal -2 binary64)) (/.f64 b (*.f64 a #s(literal -2 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) #s(literal 2 binary64)) (/.f64 b (*.f64 a #s(literal -2 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 b #s(literal -2 binary64)) (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 a #s(literal -2 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 b #s(literal -2 binary64)) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 a #s(literal 2 binary64)))))
(fma.f64 (/.f64 b #s(literal 1 binary64)) (/.f64 #s(literal -1/2 binary64) a) (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 a #s(literal -2 binary64))))
(fma.f64 (/.f64 b #s(literal 1 binary64)) (/.f64 #s(literal -1/2 binary64) a) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 a #s(literal 2 binary64)))))
(fma.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) a) (/.f64 b (*.f64 a #s(literal -2 binary64))))
(fma.f64 (/.f64 b #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) a) (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 a #s(literal -2 binary64))))
(fma.f64 (/.f64 b #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) a) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 a #s(literal 2 binary64)))))
(fma.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) a) #s(literal -1/2 binary64) (/.f64 b (*.f64 a #s(literal -2 binary64))))
(fma.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal 2 binary64)) (/.f64 b (*.f64 a #s(literal -2 binary64))))
(fma.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 b #s(literal 2 binary64)) (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 a #s(literal -2 binary64))))
(fma.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 b #s(literal 2 binary64)) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.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 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 a #s(literal -2 binary64))))
(fma.f64 (*.f64 b #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) a) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 a #s(literal 2 binary64)))))
(fma.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) a) (/.f64 b (*.f64 a #s(literal -2 binary64))))
(fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) #s(literal 1/4 binary64)) a) (/.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) #s(literal 1/4 binary64)) #s(literal -2 binary64)) (/.f64 b (*.f64 a #s(literal -2 binary64))))
(fma.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) a) (/.f64 b (*.f64 a #s(literal -2 binary64))))
(fma.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) a) (/.f64 b (*.f64 a #s(literal -2 binary64))))
(fma.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (neg.f64 a)) #s(literal 1/2 binary64) (/.f64 b (*.f64 a #s(literal -2 binary64))))
(fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) #s(literal 1/4 binary64)) #s(literal -2 binary64)) (/.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) #s(literal 1/4 binary64)) a) (/.f64 b (*.f64 a #s(literal -2 binary64))))
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(*.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) (*.f64 a c))) #s(literal -64 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)) (*.f64 b (*.f64 b (*.f64 b b))))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) #s(literal -1/4 binary64)) #s(literal -2 binary64)) (pow.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) #s(literal -1/4 binary64)) #s(literal -2 binary64)))
(*.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))))))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) #s(literal -1/4 binary64))) (/.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) #s(literal -1/4 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) #s(literal -1/4 binary64))) (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) #s(literal -1/4 binary64))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal -1 binary64)) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) #s(literal -1/4 binary64))))
(*.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))))) (/.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) #s(literal -1/4 binary64))) (/.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) #s(literal -1/4 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)) (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) (fma.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)) (*.f64 b (*.f64 b (*.f64 b b))))))
(*.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b)) #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b))))
(*.f64 a #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) a)
(exp.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) #s(literal -1 binary64)))
(fabs.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))))
(-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) #s(literal -1 binary64)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))))))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))))
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) #s(literal -1 binary64))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))))
(/.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))))) #s(literal 1 binary64))
(/.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (sqrt.f64 (neg.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))))))
(pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal -1 binary64))
(pow.f64 (*.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal -1/4 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) #s(literal -1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) #s(literal 1/4 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))))
(*.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) #s(literal -1/4 binary64)) (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) #s(literal -1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal -1/2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) (*.f64 a c))) #s(literal -64 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)) (*.f64 b (*.f64 b (*.f64 b b))))) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) (*.f64 a c))) #s(literal -64 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 a c)) (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b))))) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) (*.f64 a c))) #s(literal -64 binary64)))) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)) (*.f64 b (*.f64 b (*.f64 b b))))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b)))) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) #s(literal 1/4 binary64)) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))))) (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) (*.f64 a c))) #s(literal -64 binary64))))) (sqrt.f64 (fma.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)) (*.f64 b (*.f64 b (*.f64 b b))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b))))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b))))

eval425.0ms (3.8%)

Memory
29.0MiB live, 787.9MiB allocated
Compiler

Compiled 81 757 to 6 713 computations (91.8% saved)

prune421.0ms (3.7%)

Memory
-9.7MiB live, 646.1MiB allocated
Pruning

26 alts after pruning (23 fresh and 3 done)

PrunedKeptTotal
New2 689162 705
Fresh4711
Picked235
Done000
Total2 695262 721
Accuracy
95.9%
Counts
2 721 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.8%
(fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64))))
53.8%
(fma.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (/.f64 b (*.f64 a #s(literal -2 binary64))))
35.6%
(/.f64 (fma.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal -1/2 binary64)) a (*.f64 a (*.f64 b #s(literal -1/2 binary64)))) (*.f64 a a))
24.0%
(/.f64 (fma.f64 b b (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))))
33.7%
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 2 binary64) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))))
49.7%
(/.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))
31.6%
(/.f64 (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* b b) (* c (* a -4))) (*.f64 (*.f64 a c) #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a))
33.5%
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 #s(literal 2 binary64) a))
29.3%
(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b)) (*.f64 #s(literal 2 binary64) a))
33.7%
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))))
26.4%
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) a))
2.3%
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1 (- b (sqrt (+ (* b b) (* c (* a -4)))))) a) (/.f64 (*.f64 #s(literal 1/2 binary64) a) b)))
13.6%
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1 (- b (sqrt (+ (* b b) (* c (* a -4)))))) a) (*.f64 #s(literal 1/2 binary64) (/.f64 b c))))
56.7%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
33.4%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 (*.f64 a c) #s(literal -4 binary64))))))
34.5%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b #s(approx (sqrt (+ (* b b) (* c (* a -4)))) (fma.f64 (/.f64 (*.f64 a c) b) #s(literal -2 binary64) b))))
36.2%
#s(approx (/ (- (neg b) (/ 1 (sqrt (/ 1 (+ (* b b) (* c (* a -4))))))) (* 2 a)) (/.f64 c (neg.f64 b)))
36.1%
#s(approx (/ (- (neg b) (/ 1 (sqrt (/ 1 (+ (* b b) (* c (* a -4))))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a)))
36.1%
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (-.f64 (*.f64 c (/.f64 a b)) b) a))
36.0%
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 a b)))
36.0%
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 b (/.f64 #s(literal -1 binary64) a)))
17.0%
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (/.f64 b a))) (*.f64 (neg.f64 a) (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 b a) (/.f64 b a))))) (*.f64 (neg.f64 a) (+.f64 #s(literal 0 binary64) (/.f64 b a))))))
36.1%
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (/.f64 b a)))
18.8%
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (exp.f64 (*.f64 (log.f64 (/.f64 a b)) #s(literal -1 binary64)))))
13.6%
#s(approx (/ 1/2 (* (/ 1 (- b (sqrt (+ (* b b) (* c (* a -4)))))) a)) (/.f64 c b))
2.3%
#s(approx (/ 1/2 (* (/ 1 (- b (sqrt (+ (* b b) (* c (* a -4)))))) a)) (/.f64 b a))
Compiler

Compiled 811 to 497 computations (38.7% saved)

simplify436.0ms (3.9%)

Memory
-17.9MiB live, 136.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 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 2 binary64) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
cost-diff0
(/.f64 #s(literal 1 binary64) a)
cost-diff1088
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 2 binary64) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))))
cost-diff0
#s(approx (sqrt (+ (* b b) (* c (* a -4)))) (fma.f64 (/.f64 (*.f64 a c) b) #s(literal -2 binary64) b))
cost-diff0
(+.f64 b #s(approx (sqrt (+ (* b b) (* c (* a -4)))) (fma.f64 (/.f64 (*.f64 a c) b) #s(literal -2 binary64) b)))
cost-diff0
(/.f64 #s(literal -1/2 binary64) a)
cost-diff0
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b #s(approx (sqrt (+ (* b b) (* c (* a -4)))) (fma.f64 (/.f64 (*.f64 a c) b) #s(literal -2 binary64) b))))
cost-diff0
(/.f64 b a)
cost-diff0
(/.f64 c b)
cost-diff0
(-.f64 (/.f64 c b) (/.f64 b a))
cost-diff0
#s(approx (/ (- (neg b) (/ 1 (sqrt (/ 1 (+ (* b b) (* c (* a -4))))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a)))
cost-diff0
(/.f64 b a)
cost-diff0
#s(approx (/ 1/2 (* (/ 1 (- b (sqrt (+ (* b b) (* c (* a -4)))))) a)) (/.f64 b a))
cost-diff0
(sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))
cost-diff0
(/.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64)))
cost-diff0
(/.f64 b a)
cost-diff896
(fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64))))
Rules
3 776×lower-fma.f32
3 770×lower-fma.f64
2 328×lower-*.f32
2 318×lower-*.f64
1 282×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048299
072299
1126295
2239294
3583294
41073294
52243291
64076291
75659291
86145291
96355291
106411291
116423291
127335291
137691291
147692291
157692291
167697291
177698291
187754291
197866291
207948291
217948291
227954291
07954290
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64))))
(/.f64 b a)
b
a
#s(literal -1/2 binary64)
(/.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64)))
(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 c (*.f64 a #s(literal -4 binary64)))
c
(*.f64 a #s(literal -4 binary64))
#s(literal -4 binary64)
(*.f64 a #s(literal -2 binary64))
#s(literal -2 binary64)
#s(approx (/ 1/2 (* (/ 1 (- b (sqrt (+ (* b b) (* c (* a -4)))))) a)) (/.f64 b a))
(/.f64 b a)
b
a
#s(approx (/ (- (neg b) (/ 1 (sqrt (/ 1 (+ (* b b) (* c (* a -4))))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a)))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 c b)
c
b
(/.f64 b a)
a
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b #s(approx (sqrt (+ (* b b) (* c (* a -4)))) (fma.f64 (/.f64 (*.f64 a c) b) #s(literal -2 binary64) b))))
(/.f64 #s(literal -1/2 binary64) a)
#s(literal -1/2 binary64)
a
(+.f64 b #s(approx (sqrt (+ (* b b) (* c (* a -4)))) (fma.f64 (/.f64 (*.f64 a c) b) #s(literal -2 binary64) b)))
b
#s(approx (sqrt (+ (* b b) (* c (* a -4)))) (fma.f64 (/.f64 (*.f64 a c) b) #s(literal -2 binary64) b))
(fma.f64 (/.f64 (*.f64 a c) b) #s(literal -2 binary64) b)
(/.f64 (*.f64 a c) b)
(*.f64 a c)
c
#s(literal -2 binary64)
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 2 binary64) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))))
(/.f64 #s(literal 1 binary64) a)
#s(literal 1 binary64)
a
(/.f64 #s(literal 2 binary64) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
#s(literal 2 binary64)
(-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))
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 c (*.f64 a #s(literal -4 binary64)))
c
(*.f64 a #s(literal -4 binary64))
#s(literal -4 binary64)
Outputs
(fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64))))
(/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -4 binary64) (*.f64 a c)))))) a)
(/.f64 b a)
b
a
#s(literal -1/2 binary64)
(/.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -4 binary64) (*.f64 a c)))) (*.f64 a #s(literal -2 binary64)))
(sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))
(sqrt.f64 (fma.f64 b b (*.f64 #s(literal -4 binary64) (*.f64 a c))))
(fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))
(fma.f64 b b (*.f64 #s(literal -4 binary64) (*.f64 a c)))
(*.f64 c (*.f64 a #s(literal -4 binary64)))
(*.f64 #s(literal -4 binary64) (*.f64 a c))
c
(*.f64 a #s(literal -4 binary64))
#s(literal -4 binary64)
(*.f64 a #s(literal -2 binary64))
#s(literal -2 binary64)
#s(approx (/ 1/2 (* (/ 1 (- b (sqrt (+ (* b b) (* c (* a -4)))))) a)) (/.f64 b a))
(/.f64 b a)
b
a
#s(approx (/ (- (neg b) (/ 1 (sqrt (/ 1 (+ (* b b) (* c (* a -4))))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a)))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 c b)
c
b
(/.f64 b a)
a
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b #s(approx (sqrt (+ (* b b) (* c (* a -4)))) (fma.f64 (/.f64 (*.f64 a c) b) #s(literal -2 binary64) b))))
(/.f64 (+.f64 b #s(approx (sqrt (+ (* b b) (* c (* a -4)))) (fma.f64 a (/.f64 (*.f64 c #s(literal -2 binary64)) b) b))) (*.f64 a #s(literal -2 binary64)))
(/.f64 #s(literal -1/2 binary64) a)
#s(literal -1/2 binary64)
a
(+.f64 b #s(approx (sqrt (+ (* b b) (* c (* a -4)))) (fma.f64 (/.f64 (*.f64 a c) b) #s(literal -2 binary64) b)))
(+.f64 b #s(approx (sqrt (+ (* b b) (* c (* a -4)))) (fma.f64 a (/.f64 (*.f64 c #s(literal -2 binary64)) b) b)))
b
#s(approx (sqrt (+ (* b b) (* c (* a -4)))) (fma.f64 (/.f64 (*.f64 a c) b) #s(literal -2 binary64) b))
#s(approx (sqrt (+ (* b b) (* c (* a -4)))) (fma.f64 a (/.f64 (*.f64 c #s(literal -2 binary64)) b) b))
(fma.f64 (/.f64 (*.f64 a c) b) #s(literal -2 binary64) b)
(fma.f64 a (/.f64 (*.f64 c #s(literal -2 binary64)) b) b)
(/.f64 (*.f64 a c) b)
(*.f64 a c)
c
#s(literal -2 binary64)
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 2 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 #s(literal -4 binary64) (*.f64 a c)))) b) (*.f64 a #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) a)
#s(literal 1 binary64)
a
(/.f64 #s(literal 2 binary64) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
(/.f64 #s(literal -2 binary64) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -4 binary64) (*.f64 a c)))) b))
#s(literal 2 binary64)
(-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))
(-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -4 binary64) (*.f64 a c)))))
b
(sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))
(sqrt.f64 (fma.f64 b b (*.f64 #s(literal -4 binary64) (*.f64 a c))))
(fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))
(fma.f64 b b (*.f64 #s(literal -4 binary64) (*.f64 a c)))
(*.f64 c (*.f64 a #s(literal -4 binary64)))
(*.f64 #s(literal -4 binary64) (*.f64 a c))
c
(*.f64 a #s(literal -4 binary64))
#s(literal -4 binary64)

localize229.0ms (2%)

Memory
13.3MiB live, 313.8MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.7538979928166807
(fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))
accuracy4.550606510807358
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 2 binary64) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))))
accuracy12.683922561029524
(-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))
accuracy21.72701588700147
(sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))
accuracy3.7041030202868037
(/.f64 (*.f64 a c) b)
accuracy3.898702110701175
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b #s(approx (sqrt (+ (* b b) (* c (* a -4)))) (fma.f64 (/.f64 (*.f64 a c) b) #s(literal -2 binary64) b))))
accuracy12.301700464149379
(+.f64 b #s(approx (sqrt (+ (* b b) (* c (* a -4)))) (fma.f64 (/.f64 (*.f64 a c) b) #s(literal -2 binary64) b)))
accuracy41.27958287567065
#s(approx (sqrt (+ (* b b) (* c (* a -4)))) (fma.f64 (/.f64 (*.f64 a c) b) #s(literal -2 binary64) b))
accuracy0
(/.f64 c b)
accuracy0
(/.f64 b a)
accuracy0.0078125
(-.f64 (/.f64 c b) (/.f64 b a))
accuracy40.86496049081767
#s(approx (/ (- (neg b) (/ 1 (sqrt (/ 1 (+ (* b b) (* c (* a -4))))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a)))
accuracy0
(/.f64 b a)
accuracy40.70986831407262
#s(approx (/ 1/2 (* (/ 1 (- b (sqrt (+ (* b b) (* c (* a -4)))))) a)) (/.f64 b a))
accuracy0.09765625
(/.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64)))
accuracy0.7538979928166807
(fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))
accuracy16.950006368366054
(fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64))))
accuracy21.72701588700147
(sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))
Samples
73.0ms91×2valid
46.0ms67×1valid
26.0ms14×3valid
23.0ms84×0valid
Compiler

Compiled 278 to 44 computations (84.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 122.0ms
ival-div: 63.0ms (51.5% of total)
ival-mult: 19.0ms (15.5% of total)
adjust: 15.0ms (12.3% of total)
ival-add: 9.0ms (7.4% of total)
ival-sqrt: 8.0ms (6.5% of total)
ival-sub: 7.0ms (5.7% of total)
exact: 1.0ms (0.8% of total)
ival-neg: 1.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series54.0ms (0.5%)

Memory
-3.5MiB live, 33.6MiB allocated
Counts
18 → 576
Calls
Call 1
Inputs
#s(alt (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64)))) (patch (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 b a) (patch (/.f64 b a) #<representation binary64>) () ())
#s(alt (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64))) (patch (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (patch (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) #<representation binary64>) () ())
#s(alt #s(approx (/ 1/2 (* (/ 1 (- b (sqrt (+ (* b b) (* c (* a -4)))))) a)) (/.f64 b a)) (patch #s(approx (/ 1/2 (* (/ 1 (- b (sqrt (+ (* b b) (* c (* a -4)))))) a)) (/.f64 b a)) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (neg b) (/ 1 (sqrt (/ 1 (+ (* b b) (* c (* a -4))))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) (patch #s(approx (/ (- (neg b) (/ 1 (sqrt (/ 1 (+ (* b b) (* c (* a -4))))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) #<representation binary64>) () ())
#s(alt (-.f64 (/.f64 c b) (/.f64 b a)) (patch (-.f64 (/.f64 c b) (/.f64 b a)) #<representation binary64>) () ())
#s(alt (/.f64 c b) (patch (/.f64 c b) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b #s(approx (sqrt (+ (* b b) (* c (* a -4)))) (fma.f64 (/.f64 (*.f64 a c) b) #s(literal -2 binary64) b)))) (patch (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b #s(approx (sqrt (+ (* b b) (* c (* a -4)))) (fma.f64 (/.f64 (*.f64 a c) b) #s(literal -2 binary64) b)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1/2 binary64) a) (patch (/.f64 #s(literal -1/2 binary64) a) #<representation binary64>) () ())
#s(alt (+.f64 b #s(approx (sqrt (+ (* b b) (* c (* a -4)))) (fma.f64 (/.f64 (*.f64 a c) b) #s(literal -2 binary64) b))) (patch (+.f64 b #s(approx (sqrt (+ (* b b) (* c (* a -4)))) (fma.f64 (/.f64 (*.f64 a c) b) #s(literal -2 binary64) b))) #<representation binary64>) () ())
#s(alt #s(approx (sqrt (+ (* b b) (* c (* a -4)))) (fma.f64 (/.f64 (*.f64 a c) b) #s(literal -2 binary64) b)) (patch #s(approx (sqrt (+ (* b b) (* c (* a -4)))) (fma.f64 (/.f64 (*.f64 a c) b) #s(literal -2 binary64) b)) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 2 binary64) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (patch (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 2 binary64) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) a) (patch (/.f64 #s(literal 1 binary64) a) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 2 binary64) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (patch (/.f64 #s(literal 2 binary64) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) #<representation binary64>) () ())
#s(alt (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (patch (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) #<representation binary64>) () ())
#s(alt (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (patch (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 a c) b) (patch (/.f64 (*.f64 a c) b) #<representation binary64>) () ())
Outputs
#s(alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (taylor 0 b) (#s(alt (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64)))) (patch (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) (taylor 0 b) (#s(alt (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64)))) (patch (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) (taylor 0 b) (#s(alt (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64)))) (patch (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a))))) (taylor 0 b) (#s(alt (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64)))) (patch (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ b a)) (taylor inf b) (#s(alt (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64)))) (patch (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* b (- (/ c (pow b 2)) (/ 1 a))) (taylor inf b) (#s(alt (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64)))) (patch (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))) (taylor inf b) (#s(alt (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64)))) (patch (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a))) (taylor inf b) (#s(alt (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64)))) (patch (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ c b)) (taylor -inf b) (#s(alt (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64)))) (patch (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (* c (+ (* -4 a) (/ (pow b 2) c))) (taylor inf c) (#s(alt (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (patch (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -4 a) (/ (pow b 2) c))) (taylor inf c) (#s(alt (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (patch (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -4 a) (/ (pow b 2) c))) (taylor inf c) (#s(alt (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (patch (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -4 (* a c)) (taylor -inf c) (#s(alt (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (patch (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) (taylor -inf c) (#s(alt (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (patch (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) (taylor -inf c) (#s(alt (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (patch (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) (taylor -inf c) (#s(alt (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (patch (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor 0 a) (#s(alt (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (patch (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -4 (* a c)) (pow b 2)) (taylor 0 a) (#s(alt (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (patch (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -4 (* a c)) (pow b 2)) (taylor 0 a) (#s(alt (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (patch (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -4 (* a c)) (pow b 2)) (taylor 0 a) (#s(alt (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (patch (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -4 (* a c)) (taylor inf a) (#s(alt (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (patch (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -4 c) (/ (pow b 2) a))) (taylor inf a) (#s(alt (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (patch (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -4 c) (/ (pow b 2) a))) (taylor inf a) (#s(alt (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (patch (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -4 c) (/ (pow b 2) a))) (taylor inf a) (#s(alt (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (patch (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -4 (* a c)) (taylor -inf a) (#s(alt (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (patch (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) (taylor -inf a) (#s(alt (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (patch (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) (taylor -inf a) (#s(alt (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (patch (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) (taylor -inf a) (#s(alt (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (patch (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) b) (taylor 0 a) (#s(alt (/.f64 (*.f64 a c) b) (patch (/.f64 (*.f64 a c) b) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) b) (taylor 0 a) (#s(alt (/.f64 (*.f64 a c) b) (patch (/.f64 (*.f64 a c) b) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) b) (taylor 0 a) (#s(alt (/.f64 (*.f64 a c) b) (patch (/.f64 (*.f64 a c) b) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) b) (taylor 0 a) (#s(alt (/.f64 (*.f64 a c) b) (patch (/.f64 (*.f64 a c) b) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) b) (taylor inf a) (#s(alt (/.f64 (*.f64 a c) b) (patch (/.f64 (*.f64 a c) b) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) b) (taylor inf a) (#s(alt (/.f64 (*.f64 a c) b) (patch (/.f64 (*.f64 a c) b) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) b) (taylor inf a) (#s(alt (/.f64 (*.f64 a c) b) (patch (/.f64 (*.f64 a c) b) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) b) (taylor inf a) (#s(alt (/.f64 (*.f64 a c) b) (patch (/.f64 (*.f64 a c) b) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) b) (taylor -inf a) (#s(alt (/.f64 (*.f64 a c) b) (patch (/.f64 (*.f64 a c) b) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) b) (taylor -inf a) (#s(alt (/.f64 (*.f64 a c) b) (patch (/.f64 (*.f64 a c) b) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) b) (taylor -inf a) (#s(alt (/.f64 (*.f64 a c) b) (patch (/.f64 (*.f64 a c) b) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) b) (taylor -inf a) (#s(alt (/.f64 (*.f64 a c) b) (patch (/.f64 (*.f64 a c) b) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) b) (taylor 0 c) (#s(alt (/.f64 (*.f64 a c) b) (patch (/.f64 (*.f64 a c) b) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) b) (taylor 0 c) (#s(alt (/.f64 (*.f64 a c) b) (patch (/.f64 (*.f64 a c) b) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) b) (taylor 0 c) (#s(alt (/.f64 (*.f64 a c) b) (patch (/.f64 (*.f64 a c) b) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) b) (taylor 0 c) (#s(alt (/.f64 (*.f64 a c) b) (patch (/.f64 (*.f64 a c) b) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) b) (taylor inf c) (#s(alt (/.f64 (*.f64 a c) b) (patch (/.f64 (*.f64 a c) b) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) b) (taylor inf c) (#s(alt (/.f64 (*.f64 a c) b) (patch (/.f64 (*.f64 a c) b) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) b) (taylor inf c) (#s(alt (/.f64 (*.f64 a c) b) (patch (/.f64 (*.f64 a c) b) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) b) (taylor inf c) (#s(alt (/.f64 (*.f64 a c) b) (patch (/.f64 (*.f64 a c) b) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) b) (taylor -inf c) (#s(alt (/.f64 (*.f64 a c) b) (patch (/.f64 (*.f64 a c) b) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) b) (taylor -inf c) (#s(alt (/.f64 (*.f64 a c) b) (patch (/.f64 (*.f64 a c) b) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) b) (taylor -inf c) (#s(alt (/.f64 (*.f64 a c) b) (patch (/.f64 (*.f64 a c) b) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) b) (taylor -inf c) (#s(alt (/.f64 (*.f64 a c) b) (patch (/.f64 (*.f64 a c) b) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) b) (taylor 0 b) (#s(alt (/.f64 (*.f64 a c) b) (patch (/.f64 (*.f64 a c) b) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) b) (taylor 0 b) (#s(alt (/.f64 (*.f64 a c) b) (patch (/.f64 (*.f64 a c) b) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) b) (taylor 0 b) (#s(alt (/.f64 (*.f64 a c) b) (patch (/.f64 (*.f64 a c) b) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) b) (taylor 0 b) (#s(alt (/.f64 (*.f64 a c) b) (patch (/.f64 (*.f64 a c) b) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) b) (taylor inf b) (#s(alt (/.f64 (*.f64 a c) b) (patch (/.f64 (*.f64 a c) b) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) b) (taylor inf b) (#s(alt (/.f64 (*.f64 a c) b) (patch (/.f64 (*.f64 a c) b) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) b) (taylor inf b) (#s(alt (/.f64 (*.f64 a c) b) (patch (/.f64 (*.f64 a c) b) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) b) (taylor inf b) (#s(alt (/.f64 (*.f64 a c) b) (patch (/.f64 (*.f64 a c) b) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) b) (taylor -inf b) (#s(alt (/.f64 (*.f64 a c) b) (patch (/.f64 (*.f64 a c) b) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) b) (taylor -inf b) (#s(alt (/.f64 (*.f64 a c) b) (patch (/.f64 (*.f64 a c) b) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) b) (taylor -inf b) (#s(alt (/.f64 (*.f64 a c) b) (patch (/.f64 (*.f64 a c) b) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) b) (taylor -inf b) (#s(alt (/.f64 (*.f64 a c) b) (patch (/.f64 (*.f64 a c) b) #<representation binary64>) () ())) ())
Calls

144 calls:

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

simplify343.0ms (3%)

Memory
-13.4MiB live, 532.5MiB allocated
Algorithm
egg-herbie
Rules
8 912×lower-fma.f64
8 912×lower-fma.f32
6 622×lower-*.f64
6 622×lower-*.f32
6 074×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0108811690
1358111419
0854010917
Stop Event
iter limit
node limit
Counts
576 → 570
Calls
Call 1
Inputs
(* -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 (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))
(* -1 (/ b a))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))
(* -1 (/ c b))
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))
(* -1 (/ b a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (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)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (/ b a))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))
(* (sqrt (/ c a)) (sqrt -1))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)))))
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* (pow b 2) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* (pow b 2) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))))))))
(* -1/2 (/ b a))
(* b (- (/ c (pow b 2)) (* 1/2 (/ 1 a))))
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (* 1/2 (/ 1 a))))
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (* 1/2 (/ 1 a))))
(* 1/2 (/ b a))
(* -1 (* b (- (/ c (pow b 2)) (* 1/2 (/ 1 a)))))
(* -1 (* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (* 1/2 (/ 1 a)))))
(* -1 (* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (* 1/2 (/ 1 a)))))
(* -1/2 (/ b a))
(+ (* -1/2 (/ b a)) (/ c b))
(+ (* -1/2 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))
(+ (* -1/2 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4))))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))
(* (sqrt (/ c a)) (sqrt -1))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1))))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (+ (* -1/1024 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))))))))
(* -1/2 (/ b a))
(/ (+ (* -1/2 b) (/ (* a c) b)) a)
(/ (+ (* -1/2 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/ (+ (* -1/2 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3))))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/1024 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* (sqrt (* a c)) (sqrt -4))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))
b
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 b)
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
(* -1/2 (* (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 (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))
(/ c b)
(/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)
(/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b)
(/ b a)
(* -1 (* b (- (/ c (pow b 2)) (/ 1 a))))
(* -1 (* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))
(* -1 (* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a))))
(/ c b)
(* c (+ (/ 1 b) (/ (* a c) (pow b 3))))
(* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))
(* c (+ (* c (+ (* c (+ (* 1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))) (* 2 (/ (pow a 2) (pow b 5))))) (/ a (pow b 3)))) (/ 1 b)))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* 1/2 (/ b (* a c)))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (/ b (* a c))))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (* 1/2 (/ b (* a c)))))))
(* (sqrt (/ c a)) (sqrt -1))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1/2 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 1/2 (/ b a))) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* 1/2 (/ b a))) c)))))
(/ c b)
(+ (/ c b) (/ (* a (pow c 2)) (pow b 3)))
(+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b))
(+ (* a (+ (* a (+ (* 1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)) (* 2 (/ (pow c 3) (pow b 5))))) (/ (pow c 2) (pow b 3)))) (/ c b))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* 1/2 (/ b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (/ b a))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (* 1/2 (/ b a)))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* 1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/2 b) (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* -1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))
(* -1 (/ b a))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))
(* -1 (/ c b))
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))
(* -1 (/ b a))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))
(* (sqrt (/ c a)) (sqrt -1))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)))))
(* -1 (/ b a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (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)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (/ b a))
(- (/ c b) (/ b a))
(- (/ c b) (/ b a))
(- (/ c b) (/ b a))
(/ 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))))
(/ 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)))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* -1 (/ b a))
(* -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))
(/ (- (/ (* a c) b) b) a)
(/ (- (/ (* a c) b) b) a)
(/ (- (/ (* a c) b) b) a)
(/ c b)
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
(/ c b)
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(* -1 (/ b a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (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)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))
(* -1 (/ b a))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))
(* -1 (/ c b))
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))
(* -1 (/ b a))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))
(* (sqrt (/ c a)) (sqrt -1))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)))))
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(* (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))))))
(* (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))))))))
(/ c b)
(+ (/ c b) (/ (* a (pow c 2)) (pow b 3)))
(+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b))
(+ (* a (+ (* a (+ (* 1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)) (* 2 (/ (pow c 3) (pow b 5))))) (/ (pow c 2) (pow b 3)))) (/ c b))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* 1/2 (/ b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (/ b a))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (* 1/2 (/ b a)))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* 1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/2 b) (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* -1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* 1/2 (/ b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (+ (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))
(/ c b)
(/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)
(/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b)
(/ b a)
(* -1 (* b (- (/ c (pow b 2)) (/ 1 a))))
(* -1 (* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))
(* -1 (* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a))))
(/ c b)
(* c (+ (/ 1 b) (/ (* a c) (pow b 3))))
(* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))
(* c (+ (* c (+ (* c (+ (* 1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))) (* 2 (/ (pow a 2) (pow b 5))))) (/ a (pow b 3)))) (/ 1 b)))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* 1/2 (/ b (* a c)))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (/ b (* a c))))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (* 1/2 (/ b (* a c)))))))
(* (sqrt (/ c a)) (sqrt -1))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1/2 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 1/2 (/ b a))) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* 1/2 (/ b a))) c)))))
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(* -2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))
(+ (* -2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* -2 (/ b (* a (* c (pow (sqrt -4) 2))))))
(+ (* -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)))) (* 2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))))) (* 2 (/ 1 (* a (* c (pow (sqrt -4) 2))))))))
(+ (* -2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* b (- (* b (- (* b (- (/ 1 (* (pow a 2) (* (pow c 2) (pow (sqrt -4) 4)))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 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)))) (* 2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))))) (* 2 (/ 1 (* a (* c (pow (sqrt -4) 2))))))))
(/ b (* a c))
(* b (- (/ 1 (* a c)) (/ 1 (pow b 2))))
(* b (- (+ (* -1 (/ (+ (* -1 (* a c)) (* 2 (* a c))) (pow b 4))) (/ 1 (* a c))) (/ 1 (pow b 2))))
(* b (- (+ (* -1 (/ (+ (* -2 (* (pow a 2) (pow c 2))) (+ (* -1 (* a (* c (+ (* -1 (* a c)) (* 2 (* a c)))))) (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) (pow c 2)))))) (pow b 6))) (/ 1 (* a c))) (+ (* -1 (/ (* a c) (pow b 4))) (+ (* 2 (/ (* a c) (pow b 4))) (/ 1 (pow b 2))))))
(/ 1 b)
(* -1 (/ (- (* -1 (/ (* a c) (pow b 2))) 1) b))
(* -1 (/ (- (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 1 (/ (* a c) (pow b 2)))) b))
(* -1 (/ (- (* -1 (/ (+ (* 4 (* (pow a 3) (pow c 3))) (* (pow a 3) (pow c 3))) (pow b 6))) (+ 1 (+ (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (/ (* a c) (pow b 2))))) b))
(/ b (* a c))
(/ (+ (* -1 (/ c b)) (/ b a)) c)
(/ (+ (* c (- (* -1 (* c (+ (* -1 (/ a (pow b 3))) (* 2 (/ a (pow b 3)))))) (/ 1 b))) (/ b a)) c)
(/ (+ (* c (- (* c (- (* -1 (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (+ (* -1 (/ (* a (+ (* -1 (/ a (pow b 3))) (* 2 (/ a (pow b 3))))) (pow b 2))) (* 1/4 (/ (* b (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (pow a 2))))))) (+ (* -1 (/ a (pow b 3))) (* 2 (/ a (pow b 3)))))) (/ 1 b))) (/ b a)) c)
(* -2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))
(/ (+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* -2 (/ b (* a (pow (sqrt -4) 2))))) c)
(/ (- (+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2)))) (* 2 (/ b (* a (pow (sqrt -4) 2))))) c)
(/ (- (+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1 (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -4) 4)))) (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow c 3)))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (/ b (* a (pow (sqrt -4) 2))))))) c)
(* (sqrt (/ 1 (* a c))) (sqrt -1))
(* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) c))
(* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (* -1/2 (/ (* b c) a))) c))) c))
(* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (+ (* -1/16 (/ (* (pow b 3) c) (pow a 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))) c)) (* -1/2 (/ (* b c) a))) c))) c))
(/ b (* a c))
(/ (+ (* -1 (/ a b)) (/ b c)) a)
(/ (+ (* a (- (* -1 (* a (+ (* -1 (/ c (pow b 3))) (* 2 (/ c (pow b 3)))))) (/ 1 b))) (/ b c)) a)
(/ (+ (* a (- (* a (- (* -1 (* a (+ (* -2 (/ (pow c 2) (pow b 5))) (+ (* -1 (/ (* c (+ (* -1 (/ c (pow b 3))) (* 2 (/ c (pow b 3))))) (pow b 2))) (* 1/4 (/ (* b (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) (pow c 2))))))) (+ (* -1 (/ c (pow b 3))) (* 2 (/ c (pow b 3)))))) (/ 1 b))) (/ b c)) a)
(* -2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))
(/ (+ (* -2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* -2 (/ b (* c (pow (sqrt -4) 2))))) a)
(/ (- (+ (* -2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2)))) (* 2 (/ b (* c (pow (sqrt -4) 2))))) a)
(/ (- (+ (* -2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1 (/ (* (pow a 2) (pow b 3)) (* (pow c 2) (pow (sqrt -4) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow a 3)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* 2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (/ b (* c (pow (sqrt -4) 2))))))) a)
(* (sqrt (/ 1 (* a c))) (sqrt -1))
(* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1/2 (/ b c))) a))
(* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1))))) (* -1/2 (/ (* a b) c))) a))) a))
(* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (+ (* -1/16 (/ (* a (pow b 3)) (pow c 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))))) a)) (* -1/2 (/ (* a b) c))) a))) a))
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(- b (* (sqrt (* a c)) (sqrt -4)))
(- (* b (+ 1 (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4)))
(- (* b (+ 1 (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))) (* (sqrt (* a c)) (sqrt -4)))
(* 2 (/ (* a c) b))
(/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) b)
(/ (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (- (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b)
(* 2 b)
(* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 2)))
(* -1 (* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2)))))))
(* -1 (* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* 2 (/ (* a c) b))
(* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b))))
(* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b))))
(* c (- (* c (- (* c (- (* 1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)) (* -4 (/ (pow a 3) (pow b 5))))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b))))
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(* c (- (/ b c) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ b c)) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* 2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (- (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (- (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (- (* -1 (/ (+ b (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* 2 (/ (* a c) b))
(* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b))))
(* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b))))
(* a (- (* a (- (* a (- (* 1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)) (* -4 (/ (pow c 3) (pow b 5))))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b))))
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(* a (- (/ b a) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ b a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* 2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (- (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (- (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (- (* -1 (/ (+ b (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -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))))
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
Outputs
(* -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 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(*.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(fma.f64 b (fma.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (/.f64 b (sqrt.f64 #s(literal -4 binary64)))) (/.f64 #s(literal -1/2 binary64) a)) (*.f64 #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 (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 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 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 c (*.f64 c c))))) (/.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 (/ b a))
(/.f64 b (neg.f64 a))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a)))
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))
(*.f64 b (+.f64 (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 4 binary64))) (/.f64 c (*.f64 b b))) (/.f64 #s(literal -1 binary64) a)))
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))
(*.f64 b (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a a)) (pow.f64 b #s(literal 6 binary64))) (+.f64 (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 4 binary64))) (/.f64 c (*.f64 b b))) (/.f64 #s(literal -1 binary64) a))))
(* -1 (/ c b))
(/.f64 c (neg.f64 b))
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))
(/.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c) (neg.f64 b))
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* 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))) (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c)) (neg.f64 b))
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))
(/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) #s(literal 20 binary64)) (*.f64 a (pow.f64 b #s(literal 6 binary64)))) (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 a (/.f64 (*.f64 c c) (*.f64 b b)) c))) (neg.f64 b))
(* -1 (/ b a))
(/.f64 b (neg.f64 a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/.f64 (fma.f64 a (/.f64 c b) (neg.f64 b)) a)
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/.f64 (fma.f64 a (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))) (/.f64 c b)) (neg.f64 b)) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)
(/.f64 (fma.f64 a (fma.f64 a (fma.f64 #s(literal 2 binary64) (/.f64 (*.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)) (neg.f64 b)) 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 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(*.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 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))))))
(fma.f64 (*.f64 #s(literal -1/4 binary64) (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) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 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)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))
(fma.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 b a)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 b b)) (sqrt.f64 #s(literal -4 binary64))) (*.f64 #s(literal 1/16 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)) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64))))))))
(* (sqrt (/ c a)) (sqrt -1))
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (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 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (-.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal -1/128 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c)))))) (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))))) a)) a))
(* -1 (/ b a))
(/.f64 b (neg.f64 a))
(+ (* -1 (/ b a)) (/ c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))
(-.f64 (*.f64 c (fma.f64 a (/.f64 c (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) b))) (/.f64 b a))
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))
(-.f64 (*.f64 c (fma.f64 c (fma.f64 #s(literal 2 binary64) (/.f64 (*.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))) (/.f64 b 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))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))
(*.f64 c (*.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (/.f64 b (*.f64 c a)))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))
(*.f64 c (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))))) (*.f64 b b)) (sqrt.f64 #s(literal -4 binary64))) (*.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (/.f64 b (*.f64 c a))))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))
(*.f64 c (fma.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (/.f64 b (*.f64 c a))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))))) (*.f64 b b)) (sqrt.f64 #s(literal -4 binary64))) (*.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))))))))))
(* (sqrt (/ c a)) (sqrt -1))
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))
(*.f64 (-.f64 (/.f64 (*.f64 b #s(literal 1/2 binary64)) (*.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))))) (neg.f64 c))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))
(*.f64 (neg.f64 (fma.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 #s(literal -1/2 binary64) b) a)) c))) (neg.f64 c))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)))))
(neg.f64 (*.f64 c (neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) b) a) (/.f64 (fma.f64 #s(literal 1/128 binary64) (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (pow.f64 a #s(literal 5 binary64)))))) (*.f64 #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)))))
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(* -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 (* (sqrt (/ c a)) (sqrt -4))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 b b)) (sqrt.f64 #s(literal -4 binary64)))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* (pow b 2) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))))
(fma.f64 (*.f64 b 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 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 c (*.f64 c c))))) (/.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64))))))) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* (pow b 2) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))))))))
(fma.f64 (*.f64 b 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 b b) (fma.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 c (*.f64 c c))))) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) (*.f64 #s(literal -1/32 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 7 binary64))))) (*.f64 b b)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64))))))) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))))
(* -1/2 (/ b a))
(/.f64 (*.f64 #s(literal -1/2 binary64) b) a)
(* b (- (/ c (pow b 2)) (* 1/2 (/ 1 a))))
(*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1/2 binary64) a)))
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (* 1/2 (/ 1 a))))
(*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 4 binary64))) (/.f64 #s(literal -1/2 binary64) a))))
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (* 1/2 (/ 1 a))))
(*.f64 b (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a a)) (pow.f64 b #s(literal 6 binary64))) (+.f64 (/.f64 c (*.f64 b b)) (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 4 binary64))) (/.f64 #s(literal -1/2 binary64) a)))))
(* 1/2 (/ b a))
(*.f64 (/.f64 b a) #s(literal 1/2 binary64))
(* -1 (* b (- (/ c (pow b 2)) (* 1/2 (/ 1 a)))))
(*.f64 (neg.f64 b) (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1/2 binary64) a)))
(* -1 (* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (* 1/2 (/ 1 a)))))
(*.f64 (neg.f64 b) (+.f64 (/.f64 c (*.f64 b b)) (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 4 binary64))) (/.f64 #s(literal -1/2 binary64) a))))
(* -1 (* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (* 1/2 (/ 1 a)))))
(*.f64 (neg.f64 b) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a a)) (pow.f64 b #s(literal 6 binary64))) (+.f64 (/.f64 c (*.f64 b b)) (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 4 binary64))) (/.f64 #s(literal -1/2 binary64) a)))))
(* -1/2 (/ b a))
(/.f64 (*.f64 #s(literal -1/2 binary64) b) a)
(+ (* -1/2 (/ b a)) (/ c b))
(fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (/.f64 c b))
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b
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(*.f64 (+.f64 (/.f64 b (neg.f64 c)) (*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))))) (neg.f64 c))
(* -1 (* c (- (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64)))) b) (neg.f64 c)) (*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))))) (neg.f64 c))
(* -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))))))
(neg.f64 (*.f64 c (+.f64 (/.f64 (-.f64 b (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/64 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64)))))) c)) (neg.f64 c)) (*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))))))
(* 2 (/ (* a c) b))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 c a)) b)
(* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b))))
(*.f64 a (*.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))) (/.f64 c b))))
(* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b))))
(*.f64 a (fma.f64 a (fma.f64 #s(literal 4 binary64) (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 5 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))))) (*.f64 #s(literal 2 binary64) (/.f64 c b))))
(* a (- (* a (- (* a (- (* 1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)) (* -4 (/ (pow c 3) (pow b 5))))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b))))
(*.f64 a (fma.f64 a (fma.f64 a (fma.f64 #s(literal 1/2 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 #s(literal 4 binary64) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))))) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))))) (*.f64 #s(literal 2 binary64) (/.f64 c b))))
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(neg.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))))
(* a (- (/ b a) (* (sqrt (/ c a)) (sqrt -4))))
(*.f64 a (-.f64 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))))
(* a (- (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(*.f64 a (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (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 b a)) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))))
(* a (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ b a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(*.f64 a (-.f64 (fma.f64 (*.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)) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64))))) #s(literal 1/8 binary64) (/.f64 b a)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (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 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))))
(* 2 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a))))
(* -1 (* a (- (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(*.f64 (+.f64 (/.f64 b (neg.f64 a)) (*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -2 binary64))) (neg.f64 a))
(* -1 (* a (- (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64)))) b) (neg.f64 a)) (*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -2 binary64))) (neg.f64 a))
(* -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))))))
(neg.f64 (*.f64 a (+.f64 (/.f64 (-.f64 b (/.f64 (fma.f64 (*.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)))) #s(literal 1/64 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))))) a)) (neg.f64 a)) (*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -2 binary64)))))
(* -4 (* a c))
(*.f64 a (*.f64 c #s(literal -4 binary64)))
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))
(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 a (/.f64 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 a (/.f64 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 a (/.f64 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 a (/.f64 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 a (/.f64 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 a (/.f64 c (*.f64 b b))) #s(literal 1 binary64)))
(pow b 2)
(*.f64 b b)
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))
(* -4 (* a c))
(*.f64 a (*.f64 c #s(literal -4 binary64)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(*.f64 c (fma.f64 a #s(literal -4 binary64) (/.f64 (*.f64 b b) c)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(*.f64 c (fma.f64 a #s(literal -4 binary64) (/.f64 (*.f64 b b) c)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(*.f64 c (fma.f64 a #s(literal -4 binary64) (/.f64 (*.f64 b b) c)))
(* -4 (* a c))
(*.f64 a (*.f64 c #s(literal -4 binary64)))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(*.f64 (-.f64 (*.f64 a #s(literal 4 binary64)) (/.f64 (*.f64 b b) c)) (neg.f64 c))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(*.f64 (-.f64 (*.f64 a #s(literal 4 binary64)) (/.f64 (*.f64 b b) c)) (neg.f64 c))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(*.f64 (-.f64 (*.f64 a #s(literal 4 binary64)) (/.f64 (*.f64 b b) c)) (neg.f64 c))
(pow b 2)
(*.f64 b b)
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))
(* -4 (* a c))
(*.f64 a (*.f64 c #s(literal -4 binary64)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(*.f64 a (fma.f64 c #s(literal -4 binary64) (/.f64 (*.f64 b b) a)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(*.f64 a (fma.f64 c #s(literal -4 binary64) (/.f64 (*.f64 b b) a)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(*.f64 a (fma.f64 c #s(literal -4 binary64) (/.f64 (*.f64 b b) a)))
(* -4 (* a c))
(*.f64 a (*.f64 c #s(literal -4 binary64)))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(*.f64 (-.f64 (*.f64 c #s(literal 4 binary64)) (/.f64 (*.f64 b b) a)) (neg.f64 a))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(*.f64 (-.f64 (*.f64 c #s(literal 4 binary64)) (/.f64 (*.f64 b b) a)) (neg.f64 a))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(*.f64 (-.f64 (*.f64 c #s(literal 4 binary64)) (/.f64 (*.f64 b b) a)) (neg.f64 a))
(/ (* a c) b)
(/.f64 (*.f64 c a) b)
(/ (* a c) b)
(/.f64 (*.f64 c a) b)
(/ (* a c) b)
(/.f64 (*.f64 c a) b)
(/ (* a c) b)
(/.f64 (*.f64 c a) b)
(/ (* a c) b)
(/.f64 (*.f64 c a) b)
(/ (* a c) b)
(/.f64 (*.f64 c a) b)
(/ (* a c) b)
(/.f64 (*.f64 c a) b)
(/ (* a c) b)
(/.f64 (*.f64 c a) b)
(/ (* a c) b)
(/.f64 (*.f64 c a) b)
(/ (* a c) b)
(/.f64 (*.f64 c a) b)
(/ (* a c) b)
(/.f64 (*.f64 c a) b)
(/ (* a c) b)
(/.f64 (*.f64 c a) b)
(/ (* a c) b)
(/.f64 (*.f64 c a) b)
(/ (* a c) b)
(/.f64 (*.f64 c a) b)
(/ (* a c) b)
(/.f64 (*.f64 c a) b)
(/ (* a c) b)
(/.f64 (*.f64 c a) b)
(/ (* a c) b)
(/.f64 (*.f64 c a) b)
(/ (* a c) b)
(/.f64 (*.f64 c a) b)
(/ (* a c) b)
(/.f64 (*.f64 c a) b)
(/ (* a c) b)
(/.f64 (*.f64 c a) b)
(/ (* a c) b)
(/.f64 (*.f64 c a) b)
(/ (* a c) b)
(/.f64 (*.f64 c a) b)
(/ (* a c) b)
(/.f64 (*.f64 c a) b)
(/ (* a c) b)
(/.f64 (*.f64 c a) b)
(/ (* a c) b)
(/.f64 (*.f64 c a) b)
(/ (* a c) b)
(/.f64 (*.f64 c a) b)
(/ (* a c) b)
(/.f64 (*.f64 c a) b)
(/ (* a c) b)
(/.f64 (*.f64 c a) b)
(/ (* a c) b)
(/.f64 (*.f64 c a) b)
(/ (* a c) b)
(/.f64 (*.f64 c a) b)
(/ (* a c) b)
(/.f64 (*.f64 c a) b)
(/ (* a c) b)
(/.f64 (*.f64 c a) b)
(/ (* a c) b)
(/.f64 (*.f64 c a) b)
(/ (* a c) b)
(/.f64 (*.f64 c a) b)
(/ (* a c) b)
(/.f64 (*.f64 c a) b)
(/ (* a c) b)
(/.f64 (*.f64 c a) b)

rewrite601.0ms (5.3%)

Memory
-16.3MiB live, 629.4MiB allocated
Rules
5 568×lower-fma.f32
5 562×lower-fma.f64
4 964×lower-/.f32
4 948×lower-/.f64
4 558×lower-*.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
048224
072224
1292214
22514212
09115212
Stop Event
iter limit
node limit
iter limit
Counts
18 → 847
Calls
Call 1
Inputs
(fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64))))
(/.f64 b a)
(/.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64)))
(sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))
#s(approx (/ 1/2 (* (/ 1 (- b (sqrt (+ (* b b) (* c (* a -4)))))) a)) (/.f64 b a))
#s(approx (/ (- (neg b) (/ 1 (sqrt (/ 1 (+ (* b b) (* c (* a -4))))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a)))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 c b)
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b #s(approx (sqrt (+ (* b b) (* c (* a -4)))) (fma.f64 (/.f64 (*.f64 a c) b) #s(literal -2 binary64) b))))
(/.f64 #s(literal -1/2 binary64) a)
(+.f64 b #s(approx (sqrt (+ (* b b) (* c (* a -4)))) (fma.f64 (/.f64 (*.f64 a c) b) #s(literal -2 binary64) b)))
#s(approx (sqrt (+ (* b b) (* c (* a -4)))) (fma.f64 (/.f64 (*.f64 a c) b) #s(literal -2 binary64) b))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 2 binary64) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))))
(/.f64 #s(literal 1 binary64) a)
(/.f64 #s(literal 2 binary64) (-.f64 b (sqrt.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 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))
(/.f64 (*.f64 a c) b)
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 a #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))) #s(literal -1 binary64)))
(+.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 a #s(literal -2 binary64))) (*.f64 (/.f64 b a) #s(literal -1/2 binary64)))
(+.f64 (*.f64 (/.f64 b a) #s(literal -1/2 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 b a) #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 a #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 a #s(literal -2 binary64))) (/.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 #s(literal 0 binary64) (*.f64 a #s(literal -2 binary64))) (/.f64 (-.f64 b (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 (/.f64 (*.f64 b b) (*.f64 a a)) #s(literal 1/4 binary64)) (/.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 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (*.f64 (*.f64 a #s(literal -2 binary64)) (*.f64 a #s(literal -2 binary64)))) (/.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 (/.f64 (*.f64 b (*.f64 b b)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (neg.f64 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 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (neg.f64 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 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (neg.f64 b))) (*.f64 a #s(literal 2 binary64))) (/.f64 (/.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (neg.f64 b))) (*.f64 a #s(literal 2 binary64))))
(-.f64 (/.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a #s(literal 2 binary64)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (neg.f64 b) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))) (/.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)))) (*.f64 (*.f64 a #s(literal 2 binary64)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (neg.f64 b) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))))
(-.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 2 binary64)) (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (neg.f64 b)))) (/.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (*.f64 (*.f64 a #s(literal 2 binary64)) (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (neg.f64 b)))))
(-.f64 (/.f64 (*.f64 (neg.f64 b) (*.f64 a #s(literal 2 binary64))) (*.f64 (*.f64 a #s(literal -2 binary64)) (*.f64 a #s(literal -2 binary64)))) (/.f64 (*.f64 (*.f64 a #s(literal 2 binary64)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (*.f64 (*.f64 a #s(literal -2 binary64)) (*.f64 a #s(literal -2 binary64)))))
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(*.f64 (*.f64 a (neg.f64 c)) (/.f64 #s(literal 1 binary64) (neg.f64 b)))
(*.f64 (/.f64 a b) (/.f64 (neg.f64 c) #s(literal -1 binary64)))
(*.f64 (/.f64 a b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) c)))
(*.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 a c))
(*.f64 (/.f64 #s(literal 1 binary64) b) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 a (/.f64 #s(literal 1 binary64) c)))
(*.f64 (/.f64 (neg.f64 c) b) (/.f64 a #s(literal -1 binary64)))
(*.f64 (/.f64 (neg.f64 c) #s(literal -1 binary64)) (/.f64 a b))
(*.f64 (/.f64 c #s(literal -1 binary64)) (/.f64 (neg.f64 a) b))
(*.f64 (/.f64 a #s(literal -1 binary64)) (/.f64 (neg.f64 c) b))
(*.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (*.f64 a c) #s(literal -1 binary64)))
(*.f64 (/.f64 (neg.f64 a) b) (/.f64 c #s(literal -1 binary64)))

eval273.0ms (2.4%)

Memory
14.2MiB live, 505.3MiB allocated
Compiler

Compiled 47 323 to 4 203 computations (91.1% saved)

prune385.0ms (3.4%)

Memory
-9.0MiB live, 417.3MiB allocated
Pruning

30 alts after pruning (25 fresh and 5 done)

PrunedKeptTotal
New1 723111 734
Fresh41418
Picked325
Done033
Total1 730301 760
Accuracy
95.9%
Counts
1 760 → 30
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.8%
(fma.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 (/.f64 b a) #s(literal -1/2 binary64)))
35.6%
(/.f64 (fma.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal -1/2 binary64)) a (*.f64 a (*.f64 b #s(literal -1/2 binary64)))) (*.f64 a a))
24.0%
(/.f64 (fma.f64 b b (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))))
26.4%
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 2 binary64) (-.f64 b (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))
49.7%
(/.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))
31.6%
(/.f64 (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* b b) (* c (* a -4))) (*.f64 (*.f64 a c) #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a))
33.5%
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 #s(literal 2 binary64) a))
29.3%
(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b)) (*.f64 #s(literal 2 binary64) a))
33.7%
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))))
26.4%
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) a))
13.6%
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1 (- b (sqrt (+ (* b b) (* c (* a -4)))))) a) (*.f64 #s(literal 1/2 binary64) (/.f64 b c))))
56.7%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
33.4%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 (*.f64 a c) #s(literal -4 binary64))))))
13.6%
#s(approx (/ (/ 1 a) (/ 2 (- b (sqrt (+ (* b b) (* c (* a -4))))))) (/.f64 c b))
36.1%
#s(approx (/ (- (neg b) (/ 1 (sqrt (/ 1 (+ (* b b) (* c (* a -4))))))) (* 2 a)) (fma.f64 (/.f64 #s(literal 1 binary64) b) c (/.f64 (neg.f64 b) a)))
36.1%
#s(approx (/ (- (neg b) (/ 1 (sqrt (/ 1 (+ (* b b) (* c (* a -4))))))) (* 2 a)) (fma.f64 b (/.f64 #s(literal -1 binary64) a) (/.f64 c b)))
23.5%
#s(approx (/ (- (neg b) (/ 1 (sqrt (/ 1 (+ (* b b) (* c (* a -4))))))) (* 2 a)) (/.f64 (fma.f64 a c (*.f64 (neg.f64 b) b)) (*.f64 b a)))
27.5%
#s(approx (/ (- (neg b) (/ 1 (sqrt (/ 1 (+ (* b b) (* c (* a -4))))))) (* 2 a)) (/.f64 (/.f64 (fma.f64 a c (*.f64 (neg.f64 b) b)) b) a))
36.2%
#s(approx (/ (- (neg b) (/ 1 (sqrt (/ 1 (+ (* b b) (* c (* a -4))))))) (* 2 a)) (/.f64 c (neg.f64 b)))
36.1%
#s(approx (/ (- (neg b) (/ 1 (sqrt (/ 1 (+ (* b b) (* c (* a -4))))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a)))
26.2%
#s(approx (/ (- (neg b) (/ 1 (sqrt (/ 1 (+ (* b b) (* c (* a -4))))))) (* 2 a)) #s(approx (- (/ c b) (/ b a)) (*.f64 c (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 b (*.f64 c a))))))
36.0%
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 a b)))
36.0%
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 b (/.f64 #s(literal -1 binary64) a)))
17.0%
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (/.f64 b a))) (*.f64 (neg.f64 a) (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 b a) (/.f64 b a))))) (*.f64 (neg.f64 a) (+.f64 #s(literal 0 binary64) (/.f64 b a))))))
36.1%
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (/.f64 b a)))
18.8%
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (exp.f64 (*.f64 (log.f64 (/.f64 a b)) #s(literal -1 binary64)))))
2.3%
#s(approx (/ 1/2 (* (/ 1 (- b (sqrt (+ (* b b) (* c (* a -4)))))) a)) (/.f64 b a))
2.3%
#s(approx (/ 1/2 (* (/ 1 (- b (sqrt (+ (* b b) (* c (* a -4)))))) a)) (/.f64 #s(literal 1 binary64) (/.f64 a b)))
2.3%
#s(approx (/ 1/2 (* (/ 1 (- b (sqrt (+ (* b b) (* c (* a -4)))))) a)) (*.f64 (/.f64 #s(literal 1 binary64) a) b))
3.9%
#s(approx (/ 1/2 (* (/ 1 (- b (sqrt (+ (* b b) (* c (* a -4)))))) a)) (exp.f64 (*.f64 (log.f64 (/.f64 a b)) #s(literal -1 binary64))))
Compiler

Compiled 863 to 525 computations (39.2% saved)

simplify167.0ms (1.5%)

Memory
10.6MiB live, 198.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))
cost-diff0
(*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal -1/2 binary64))
cost-diff512
(fma.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal -1/2 binary64)) a (*.f64 a (*.f64 b #s(literal -1/2 binary64))))
cost-diff640
(/.f64 (fma.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal -1/2 binary64)) a (*.f64 a (*.f64 b #s(literal -1/2 binary64)))) (*.f64 a a))
cost-diff0
(sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 (*.f64 a c) #s(literal -4 binary64))))
cost-diff0
(+.f64 b (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 (*.f64 a c) #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 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 (*.f64 a c) #s(literal -4 binary64))))))
cost-diff0
(/.f64 b c)
cost-diff0
(*.f64 #s(literal 1/2 binary64) (/.f64 b c))
cost-diff0
#s(approx (* (/ 1 (- b (sqrt (+ (* b b) (* c (* a -4)))))) a) (*.f64 #s(literal 1/2 binary64) (/.f64 b c)))
cost-diff0
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1 (- b (sqrt (+ (* b b) (* c (* a -4)))))) a) (*.f64 #s(literal 1/2 binary64) (/.f64 b c))))
cost-diff0
(/.f64 c b)
cost-diff0
#s(approx (/ (/ 1 a) (/ 2 (- b (sqrt (+ (* b b) (* c (* a -4))))))) (/.f64 c b))
cost-diff0
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))
cost-diff0
(sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))
cost-diff0
(/.f64 #s(literal -1/2 binary64) a)
cost-diff896
(fma.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 (/.f64 b a) #s(literal -1/2 binary64)))
Rules
5 160×lower-fma.f32
5 152×lower-fma.f64
3 606×lower-*.f32
3 584×lower-*.f64
2 390×lower-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
047318
076307
1134302
2196292
3404292
4679292
51540292
63705292
75857292
08785292
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 (/.f64 b a) #s(literal -1/2 binary64)))
(/.f64 #s(literal -1/2 binary64) a)
#s(literal -1/2 binary64)
a
(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 c #s(literal -4 binary64))
c
#s(literal -4 binary64)
(*.f64 b b)
b
(*.f64 (/.f64 b a) #s(literal -1/2 binary64))
(/.f64 b a)
#s(approx (/ (/ 1 a) (/ 2 (- b (sqrt (+ (* b b) (* c (* a -4))))))) (/.f64 c b))
(/.f64 c b)
c
b
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1 (- b (sqrt (+ (* b b) (* c (* a -4)))))) a) (*.f64 #s(literal 1/2 binary64) (/.f64 b c))))
#s(literal 1/2 binary64)
#s(approx (* (/ 1 (- b (sqrt (+ (* b b) (* c (* a -4)))))) a) (*.f64 #s(literal 1/2 binary64) (/.f64 b c)))
(*.f64 #s(literal 1/2 binary64) (/.f64 b c))
(/.f64 b c)
b
c
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 (*.f64 a c) #s(literal -4 binary64))))))
(/.f64 #s(literal -1/2 binary64) a)
#s(literal -1/2 binary64)
a
(+.f64 b (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))
b
(sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 (*.f64 a c) #s(literal -4 binary64))))
#s(approx (+ (* b b) (* c (* a -4))) (*.f64 (*.f64 a c) #s(literal -4 binary64)))
(*.f64 (*.f64 a c) #s(literal -4 binary64))
(*.f64 a c)
c
#s(literal -4 binary64)
(/.f64 (fma.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal -1/2 binary64)) a (*.f64 a (*.f64 b #s(literal -1/2 binary64)))) (*.f64 a a))
(fma.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal -1/2 binary64)) a (*.f64 a (*.f64 b #s(literal -1/2 binary64))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal -1/2 binary64))
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))
(fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))
#s(literal -4 binary64)
(*.f64 a c)
a
c
(*.f64 b b)
b
#s(literal -1/2 binary64)
(*.f64 a (*.f64 b #s(literal -1/2 binary64)))
(*.f64 b #s(literal -1/2 binary64))
(*.f64 a a)
Outputs
(fma.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 (/.f64 b a) #s(literal -1/2 binary64)))
(/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) a)
(/.f64 #s(literal -1/2 binary64) a)
#s(literal -1/2 binary64)
a
(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 c #s(literal -4 binary64))
c
#s(literal -4 binary64)
(*.f64 b b)
b
(*.f64 (/.f64 b a) #s(literal -1/2 binary64))
(/.f64 b (*.f64 a #s(literal -2 binary64)))
(/.f64 b a)
#s(approx (/ (/ 1 a) (/ 2 (- b (sqrt (+ (* b b) (* c (* a -4))))))) (/.f64 c b))
(/.f64 c b)
c
b
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1 (- b (sqrt (+ (* b b) (* c (* a -4)))))) a) (*.f64 #s(literal 1/2 binary64) (/.f64 b c))))
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1 (- b (sqrt (+ (* b b) (* c (* a -4)))))) a) (/.f64 b (*.f64 c #s(literal 2 binary64)))))
#s(literal 1/2 binary64)
#s(approx (* (/ 1 (- b (sqrt (+ (* b b) (* c (* a -4)))))) a) (*.f64 #s(literal 1/2 binary64) (/.f64 b c)))
#s(approx (* (/ 1 (- b (sqrt (+ (* b b) (* c (* a -4)))))) a) (/.f64 b (*.f64 c #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (/.f64 b c))
(/.f64 b (*.f64 c #s(literal 2 binary64)))
(/.f64 b c)
b
c
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 (*.f64 a c) #s(literal -4 binary64))))))
(/.f64 (+.f64 b (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64)))
(/.f64 #s(literal -1/2 binary64) a)
#s(literal -1/2 binary64)
a
(+.f64 b (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))
(+.f64 b (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 a (*.f64 c #s(literal -4 binary64))))))
b
(sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 (*.f64 a c) #s(literal -4 binary64))))
(sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 a (*.f64 c #s(literal -4 binary64)))))
#s(approx (+ (* b b) (* c (* a -4))) (*.f64 (*.f64 a c) #s(literal -4 binary64)))
#s(approx (+ (* b b) (* c (* a -4))) (*.f64 a (*.f64 c #s(literal -4 binary64))))
(*.f64 (*.f64 a c) #s(literal -4 binary64))
(*.f64 a (*.f64 c #s(literal -4 binary64)))
(*.f64 a c)
c
#s(literal -4 binary64)
(/.f64 (fma.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal -1/2 binary64)) a (*.f64 a (*.f64 b #s(literal -1/2 binary64)))) (*.f64 a a))
(/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) a)
(fma.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal -1/2 binary64)) a (*.f64 a (*.f64 b #s(literal -1/2 binary64))))
(*.f64 (*.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))
(sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))
(fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))
#s(literal -4 binary64)
(*.f64 a c)
a
c
(*.f64 b b)
b
#s(literal -1/2 binary64)
(*.f64 a (*.f64 b #s(literal -1/2 binary64)))
(*.f64 b (*.f64 #s(literal -1/2 binary64) a))
(*.f64 b #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) b)
(*.f64 a a)

localize272.0ms (2.4%)

Memory
-50.0MiB live, 307.0MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.6171875000000001
(fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))
accuracy20.134992887371357
(fma.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal -1/2 binary64)) a (*.f64 a (*.f64 b #s(literal -1/2 binary64))))
accuracy21.72701588700146
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))
accuracy26.55592370973048
(/.f64 (fma.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal -1/2 binary64)) a (*.f64 a (*.f64 b #s(literal -1/2 binary64)))) (*.f64 a a))
accuracy3.898702110701175
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 (*.f64 a c) #s(literal -4 binary64))))))
accuracy12.301700464149379
(+.f64 b (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))
accuracy21.72701588700146
(sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 (*.f64 a c) #s(literal -4 binary64))))
accuracy42.809915135679574
#s(approx (+ (* b b) (* c (* a -4))) (*.f64 (*.f64 a c) #s(literal -4 binary64)))
accuracy0
(/.f64 b c)
accuracy0
(*.f64 #s(literal 1/2 binary64) (/.f64 b c))
accuracy0.5333857683782581
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1 (- b (sqrt (+ (* b b) (* c (* a -4)))))) a) (*.f64 #s(literal 1/2 binary64) (/.f64 b c))))
accuracy40.81300627204133
#s(approx (* (/ 1 (- b (sqrt (+ (* b b) (* c (* a -4)))))) a) (*.f64 #s(literal 1/2 binary64) (/.f64 b c)))
accuracy0
(/.f64 c b)
accuracy41.02813432824894
#s(approx (/ (/ 1 a) (/ 2 (- b (sqrt (+ (* b b) (* c (* a -4))))))) (/.f64 c b))
accuracy0
(*.f64 b b)
accuracy0.01171875
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))
accuracy21.30380115520892
(fma.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 (/.f64 b a) #s(literal -1/2 binary64)))
accuracy21.72701588700146
(sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))
Samples
84.0ms67×1valid
67.0ms76×2valid
41.0ms29×3valid
25.0ms84×0valid
Compiler

Compiled 291 to 48 computations (83.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 157.0ms
ival-mult: 62.0ms (39.4% of total)
ival-add: 41.0ms (26% of total)
ival-div: 25.0ms (15.9% of total)
adjust: 15.0ms (9.5% of total)
ival-sqrt: 10.0ms (6.4% of total)
ival-sub: 3.0ms (1.9% of total)
exact: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series61.0ms (0.5%)

Memory
10.9MiB live, 120.7MiB allocated
Counts
20 → 636
Calls
Call 1
Inputs
#s(alt (fma.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) (patch (fma.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1/2 binary64) a) (patch (/.f64 #s(literal -1/2 binary64) a) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (patch (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) #<representation binary64>) () ())
#s(alt (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (patch (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) #<representation binary64>) () ())
#s(alt #s(approx (/ (/ 1 a) (/ 2 (- b (sqrt (+ (* b b) (* c (* a -4))))))) (/.f64 c b)) (patch #s(approx (/ (/ 1 a) (/ 2 (- b (sqrt (+ (* b b) (* c (* a -4))))))) (/.f64 c b)) #<representation binary64>) () ())
#s(alt (/.f64 c b) (patch (/.f64 c b) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1 (- b (sqrt (+ (* b b) (* c (* a -4)))))) a) (*.f64 #s(literal 1/2 binary64) (/.f64 b c)))) (patch (/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1 (- b (sqrt (+ (* b b) (* c (* a -4)))))) a) (*.f64 #s(literal 1/2 binary64) (/.f64 b c)))) #<representation binary64>) () ())
#s(alt #s(approx (* (/ 1 (- b (sqrt (+ (* b b) (* c (* a -4)))))) a) (*.f64 #s(literal 1/2 binary64) (/.f64 b c))) (patch #s(approx (* (/ 1 (- b (sqrt (+ (* b b) (* c (* a -4)))))) a) (*.f64 #s(literal 1/2 binary64) (/.f64 b c))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 1/2 binary64) (/.f64 b c)) (patch (*.f64 #s(literal 1/2 binary64) (/.f64 b c)) #<representation binary64>) () ())
#s(alt (/.f64 b c) (patch (/.f64 b c) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) (patch (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) #<representation binary64>) () ())
#s(alt (+.f64 b (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 (*.f64 a c) #s(literal -4 binary64))))) (patch (+.f64 b (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 (*.f64 a c) #s(literal -4 binary64))))) #<representation binary64>) () ())
#s(alt (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (patch (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal -1/2 binary64)) a (*.f64 a (*.f64 b #s(literal -1/2 binary64)))) (*.f64 a a)) (patch (/.f64 (fma.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal -1/2 binary64)) a (*.f64 a (*.f64 b #s(literal -1/2 binary64)))) (*.f64 a a)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal -1/2 binary64)) a (*.f64 a (*.f64 b #s(literal -1/2 binary64)))) (patch (fma.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal -1/2 binary64)) a (*.f64 a (*.f64 b #s(literal -1/2 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal -1/2 binary64)) (patch (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal -1/2 binary64)) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (patch (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #<representation binary64>) () ())
#s(alt (*.f64 b b) (patch (*.f64 b b) #<representation binary64>) () ())
#s(alt #s(approx (+ (* b b) (* c (* a -4))) (*.f64 (*.f64 a c) #s(literal -4 binary64))) (patch #s(approx (+ (* b b) (* c (* a -4))) (*.f64 (*.f64 a c) #s(literal -4 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) (patch (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) #<representation binary64>) () ())
Outputs
#s(alt (* -1 (/ b a)) (taylor 0 a) (#s(alt (fma.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) (patch (fma.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 b) (/ (* a c) b)) a) (taylor 0 a) (#s(alt (fma.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) (patch (fma.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a) (taylor 0 a) (#s(alt (fma.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) (patch (fma.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a) (taylor 0 a) (#s(alt (fma.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) (patch (fma.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (taylor inf a) (#s(alt (fma.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) (patch (fma.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) (taylor inf a) (#s(alt (fma.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) (patch (fma.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))))) (taylor inf a) (#s(alt (fma.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) (patch (fma.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3))))))) (taylor inf a) (#s(alt (fma.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) (patch (fma.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ c a)) (sqrt -1)) (taylor -inf a) (#s(alt (fma.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) (patch (fma.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) (taylor -inf a) (#s(alt (fma.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) (patch (fma.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) (taylor -inf a) (#s(alt (fma.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) (patch (fma.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) (taylor -inf a) (#s(alt (fma.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) (patch (fma.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ b a)) (taylor 0 c) (#s(alt (fma.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) (patch (fma.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ b a)) (/ c b)) (taylor 0 c) (#s(alt (fma.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) (patch (fma.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3))))) (taylor 0 c) (#s(alt (fma.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) (patch (fma.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))) (taylor 0 c) (#s(alt (fma.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) (patch (fma.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (taylor inf c) (#s(alt (fma.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) (patch (fma.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c))))) (taylor inf c) (#s(alt (fma.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) (patch (fma.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4))))))) (taylor inf c) (#s(alt (fma.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) (patch (fma.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))) (taylor inf c) (#s(alt (fma.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) (patch (fma.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ c a)) (sqrt -1)) (taylor -inf c) (#s(alt (fma.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) (patch (fma.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c)))))) (taylor -inf c) (#s(alt (fma.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) (patch (fma.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c))))) (taylor -inf c) (#s(alt (fma.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) (patch (fma.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c))))) (taylor -inf c) (#s(alt (fma.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) (patch (fma.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (taylor 0 b) (#s(alt (fma.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) (patch (fma.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) (taylor 0 b) (#s(alt (fma.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) (patch (fma.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) (taylor 0 b) (#s(alt (fma.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) (patch (fma.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
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#s(alt (/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a) (taylor 0 a) (#s(alt (/.f64 (fma.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal -1/2 binary64)) a (*.f64 a (*.f64 b #s(literal -1/2 binary64)))) (*.f64 a a)) (patch (/.f64 (fma.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal -1/2 binary64)) a (*.f64 a (*.f64 b #s(literal -1/2 binary64)))) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a) (taylor 0 a) (#s(alt (/.f64 (fma.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal -1/2 binary64)) a (*.f64 a (*.f64 b #s(literal -1/2 binary64)))) (*.f64 a a)) (patch (/.f64 (fma.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal -1/2 binary64)) a (*.f64 a (*.f64 b #s(literal -1/2 binary64)))) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (taylor inf a) (#s(alt (/.f64 (fma.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal -1/2 binary64)) a (*.f64 a (*.f64 b #s(literal -1/2 binary64)))) (*.f64 a a)) (patch (/.f64 (fma.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal -1/2 binary64)) a (*.f64 a (*.f64 b #s(literal -1/2 binary64)))) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) (taylor inf a) (#s(alt (/.f64 (fma.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal -1/2 binary64)) a (*.f64 a (*.f64 b #s(literal -1/2 binary64)))) (*.f64 a a)) (patch (/.f64 (fma.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal -1/2 binary64)) a (*.f64 a (*.f64 b #s(literal -1/2 binary64)))) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))))) (taylor inf a) (#s(alt (/.f64 (fma.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal -1/2 binary64)) a (*.f64 a (*.f64 b #s(literal -1/2 binary64)))) (*.f64 a a)) (patch (/.f64 (fma.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal -1/2 binary64)) a (*.f64 a (*.f64 b #s(literal -1/2 binary64)))) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3))))))) (taylor inf a) (#s(alt (/.f64 (fma.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal -1/2 binary64)) a (*.f64 a (*.f64 b #s(literal -1/2 binary64)))) (*.f64 a a)) (patch (/.f64 (fma.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal -1/2 binary64)) a (*.f64 a (*.f64 b #s(literal -1/2 binary64)))) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ c a)) (sqrt -1)) (taylor -inf a) (#s(alt (/.f64 (fma.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal -1/2 binary64)) a (*.f64 a (*.f64 b #s(literal -1/2 binary64)))) (*.f64 a a)) (patch (/.f64 (fma.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal -1/2 binary64)) a (*.f64 a (*.f64 b #s(literal -1/2 binary64)))) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) (taylor -inf a) (#s(alt (/.f64 (fma.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal -1/2 binary64)) a (*.f64 a (*.f64 b #s(literal -1/2 binary64)))) (*.f64 a a)) (patch (/.f64 (fma.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal -1/2 binary64)) a (*.f64 a (*.f64 b #s(literal -1/2 binary64)))) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) (taylor -inf a) (#s(alt (/.f64 (fma.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal -1/2 binary64)) a (*.f64 a (*.f64 b #s(literal -1/2 binary64)))) (*.f64 a a)) (patch (/.f64 (fma.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal -1/2 binary64)) a (*.f64 a (*.f64 b #s(literal -1/2 binary64)))) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) (taylor -inf a) (#s(alt (/.f64 (fma.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal -1/2 binary64)) a (*.f64 a (*.f64 b #s(literal -1/2 binary64)))) (*.f64 a a)) (patch (/.f64 (fma.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal -1/2 binary64)) a (*.f64 a (*.f64 b #s(literal -1/2 binary64)))) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ b a)) (taylor 0 c) (#s(alt (/.f64 (fma.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal -1/2 binary64)) a (*.f64 a (*.f64 b #s(literal -1/2 binary64)))) (*.f64 a a)) (patch (/.f64 (fma.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal -1/2 binary64)) a (*.f64 a (*.f64 b #s(literal -1/2 binary64)))) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ b a)) (/ c b)) (taylor 0 c) (#s(alt (/.f64 (fma.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal -1/2 binary64)) a (*.f64 a (*.f64 b #s(literal -1/2 binary64)))) (*.f64 a a)) (patch (/.f64 (fma.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal -1/2 binary64)) a (*.f64 a (*.f64 b #s(literal -1/2 binary64)))) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3))))) (taylor 0 c) (#s(alt (/.f64 (fma.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal -1/2 binary64)) a (*.f64 a (*.f64 b #s(literal -1/2 binary64)))) (*.f64 a a)) (patch (/.f64 (fma.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal -1/2 binary64)) a (*.f64 a (*.f64 b #s(literal -1/2 binary64)))) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))) (taylor 0 c) (#s(alt (/.f64 (fma.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal -1/2 binary64)) a (*.f64 a (*.f64 b #s(literal -1/2 binary64)))) (*.f64 a a)) (patch (/.f64 (fma.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal -1/2 binary64)) a (*.f64 a (*.f64 b #s(literal -1/2 binary64)))) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (taylor inf c) (#s(alt (/.f64 (fma.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal -1/2 binary64)) a (*.f64 a (*.f64 b #s(literal -1/2 binary64)))) (*.f64 a a)) (patch (/.f64 (fma.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal -1/2 binary64)) a (*.f64 a (*.f64 b #s(literal -1/2 binary64)))) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c))))) (taylor inf c) (#s(alt (/.f64 (fma.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal -1/2 binary64)) a (*.f64 a (*.f64 b #s(literal -1/2 binary64)))) (*.f64 a a)) (patch (/.f64 (fma.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal -1/2 binary64)) a (*.f64 a (*.f64 b #s(literal -1/2 binary64)))) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4))))))) (taylor inf c) (#s(alt (/.f64 (fma.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal -1/2 binary64)) a (*.f64 a (*.f64 b #s(literal -1/2 binary64)))) (*.f64 a a)) (patch (/.f64 (fma.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal -1/2 binary64)) a (*.f64 a (*.f64 b #s(literal -1/2 binary64)))) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))) (taylor inf c) (#s(alt (/.f64 (fma.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal -1/2 binary64)) a (*.f64 a (*.f64 b #s(literal -1/2 binary64)))) (*.f64 a a)) (patch (/.f64 (fma.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal -1/2 binary64)) a (*.f64 a (*.f64 b #s(literal -1/2 binary64)))) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ c a)) (sqrt -1)) (taylor -inf c) (#s(alt (/.f64 (fma.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal -1/2 binary64)) a (*.f64 a (*.f64 b #s(literal -1/2 binary64)))) (*.f64 a a)) (patch (/.f64 (fma.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal -1/2 binary64)) a (*.f64 a (*.f64 b #s(literal -1/2 binary64)))) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c)))))) (taylor -inf c) (#s(alt (/.f64 (fma.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal -1/2 binary64)) a (*.f64 a (*.f64 b #s(literal -1/2 binary64)))) (*.f64 a a)) (patch (/.f64 (fma.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal -1/2 binary64)) a (*.f64 a (*.f64 b #s(literal -1/2 binary64)))) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c))))) (taylor -inf c) (#s(alt (/.f64 (fma.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal -1/2 binary64)) a (*.f64 a (*.f64 b #s(literal -1/2 binary64)))) (*.f64 a a)) (patch (/.f64 (fma.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal -1/2 binary64)) a (*.f64 a (*.f64 b #s(literal -1/2 binary64)))) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c))))) (taylor -inf c) (#s(alt (/.f64 (fma.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal -1/2 binary64)) a (*.f64 a (*.f64 b #s(literal -1/2 binary64)))) (*.f64 a a)) (patch (/.f64 (fma.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal -1/2 binary64)) a (*.f64 a (*.f64 b #s(literal -1/2 binary64)))) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (taylor 0 b) (#s(alt (/.f64 (fma.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal -1/2 binary64)) a (*.f64 a (*.f64 b #s(literal -1/2 binary64)))) (*.f64 a a)) (patch (/.f64 (fma.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal -1/2 binary64)) a (*.f64 a (*.f64 b #s(literal -1/2 binary64)))) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) (taylor 0 b) (#s(alt (/.f64 (fma.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal -1/2 binary64)) a (*.f64 a (*.f64 b #s(literal -1/2 binary64)))) (*.f64 a a)) (patch (/.f64 (fma.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal -1/2 binary64)) a (*.f64 a (*.f64 b #s(literal -1/2 binary64)))) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) (taylor 0 b) (#s(alt (/.f64 (fma.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal -1/2 binary64)) a (*.f64 a (*.f64 b #s(literal -1/2 binary64)))) (*.f64 a a)) (patch (/.f64 (fma.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal -1/2 binary64)) a (*.f64 a (*.f64 b #s(literal -1/2 binary64)))) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a))))) (taylor 0 b) (#s(alt (/.f64 (fma.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal -1/2 binary64)) a (*.f64 a (*.f64 b #s(literal -1/2 binary64)))) (*.f64 a a)) (patch (/.f64 (fma.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal -1/2 binary64)) a (*.f64 a (*.f64 b #s(literal -1/2 binary64)))) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ b a)) (taylor inf b) (#s(alt (/.f64 (fma.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal -1/2 binary64)) a (*.f64 a (*.f64 b #s(literal -1/2 binary64)))) (*.f64 a a)) (patch (/.f64 (fma.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal -1/2 binary64)) a (*.f64 a (*.f64 b #s(literal -1/2 binary64)))) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* b (- (/ c (pow b 2)) (/ 1 a))) (taylor inf b) (#s(alt (/.f64 (fma.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal -1/2 binary64)) a (*.f64 a (*.f64 b #s(literal -1/2 binary64)))) (*.f64 a a)) (patch (/.f64 (fma.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal -1/2 binary64)) a (*.f64 a (*.f64 b #s(literal -1/2 binary64)))) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))) (taylor inf b) (#s(alt (/.f64 (fma.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal -1/2 binary64)) a (*.f64 a (*.f64 b #s(literal -1/2 binary64)))) (*.f64 a a)) (patch (/.f64 (fma.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal -1/2 binary64)) a (*.f64 a (*.f64 b #s(literal -1/2 binary64)))) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a))) (taylor inf b) (#s(alt (/.f64 (fma.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal -1/2 binary64)) a (*.f64 a (*.f64 b #s(literal -1/2 binary64)))) (*.f64 a a)) (patch (/.f64 (fma.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal -1/2 binary64)) a (*.f64 a (*.f64 b #s(literal -1/2 binary64)))) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* b (+ (* -1/2 a) (* 1/2 a))) (pow a 2))) (taylor -inf b) (#s(alt (/.f64 (fma.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal -1/2 binary64)) a (*.f64 a (*.f64 b #s(literal -1/2 binary64)))) (*.f64 a a)) (patch (/.f64 (fma.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal -1/2 binary64)) a (*.f64 a (*.f64 b #s(literal -1/2 binary64)))) (*.f64 a a)) #<representation binary64>) () ())) ())
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#s(alt (* c (+ (* -4 a) (/ (pow b 2) c))) (taylor inf c) (#s(alt #s(approx (+ (* b b) (* c (* a -4))) (*.f64 (*.f64 a c) #s(literal -4 binary64))) (patch #s(approx (+ (* b b) (* c (* a -4))) (*.f64 (*.f64 a c) #s(literal -4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -4 a) (/ (pow b 2) c))) (taylor inf c) (#s(alt #s(approx (+ (* b b) (* c (* a -4))) (*.f64 (*.f64 a c) #s(literal -4 binary64))) (patch #s(approx (+ (* b b) (* c (* a -4))) (*.f64 (*.f64 a c) #s(literal -4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -4 a) (/ (pow b 2) c))) (taylor inf c) (#s(alt #s(approx (+ (* b b) (* c (* a -4))) (*.f64 (*.f64 a c) #s(literal -4 binary64))) (patch #s(approx (+ (* b b) (* c (* a -4))) (*.f64 (*.f64 a c) #s(literal -4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -4 (* a c)) (taylor -inf c) (#s(alt #s(approx (+ (* b b) (* c (* a -4))) (*.f64 (*.f64 a c) #s(literal -4 binary64))) (patch #s(approx (+ (* b b) (* c (* a -4))) (*.f64 (*.f64 a c) #s(literal -4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) (taylor -inf c) (#s(alt #s(approx (+ (* b b) (* c (* a -4))) (*.f64 (*.f64 a c) #s(literal -4 binary64))) (patch #s(approx (+ (* b b) (* c (* a -4))) (*.f64 (*.f64 a c) #s(literal -4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) (taylor -inf c) (#s(alt #s(approx (+ (* b b) (* c (* a -4))) (*.f64 (*.f64 a c) #s(literal -4 binary64))) (patch #s(approx (+ (* b b) (* c (* a -4))) (*.f64 (*.f64 a c) #s(literal -4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) (taylor -inf c) (#s(alt #s(approx (+ (* b b) (* c (* a -4))) (*.f64 (*.f64 a c) #s(literal -4 binary64))) (patch #s(approx (+ (* b b) (* c (* a -4))) (*.f64 (*.f64 a c) #s(literal -4 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor 0 a) (#s(alt #s(approx (+ (* b b) (* c (* a -4))) (*.f64 (*.f64 a c) #s(literal -4 binary64))) (patch #s(approx (+ (* b b) (* c (* a -4))) (*.f64 (*.f64 a c) #s(literal -4 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -4 (* a c)) (pow b 2)) (taylor 0 a) (#s(alt #s(approx (+ (* b b) (* c (* a -4))) (*.f64 (*.f64 a c) #s(literal -4 binary64))) (patch #s(approx (+ (* b b) (* c (* a -4))) (*.f64 (*.f64 a c) #s(literal -4 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -4 (* a c)) (pow b 2)) (taylor 0 a) (#s(alt #s(approx (+ (* b b) (* c (* a -4))) (*.f64 (*.f64 a c) #s(literal -4 binary64))) (patch #s(approx (+ (* b b) (* c (* a -4))) (*.f64 (*.f64 a c) #s(literal -4 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -4 (* a c)) (pow b 2)) (taylor 0 a) (#s(alt #s(approx (+ (* b b) (* c (* a -4))) (*.f64 (*.f64 a c) #s(literal -4 binary64))) (patch #s(approx (+ (* b b) (* c (* a -4))) (*.f64 (*.f64 a c) #s(literal -4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -4 (* a c)) (taylor inf a) (#s(alt #s(approx (+ (* b b) (* c (* a -4))) (*.f64 (*.f64 a c) #s(literal -4 binary64))) (patch #s(approx (+ (* b b) (* c (* a -4))) (*.f64 (*.f64 a c) #s(literal -4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -4 c) (/ (pow b 2) a))) (taylor inf a) (#s(alt #s(approx (+ (* b b) (* c (* a -4))) (*.f64 (*.f64 a c) #s(literal -4 binary64))) (patch #s(approx (+ (* b b) (* c (* a -4))) (*.f64 (*.f64 a c) #s(literal -4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -4 c) (/ (pow b 2) a))) (taylor inf a) (#s(alt #s(approx (+ (* b b) (* c (* a -4))) (*.f64 (*.f64 a c) #s(literal -4 binary64))) (patch #s(approx (+ (* b b) (* c (* a -4))) (*.f64 (*.f64 a c) #s(literal -4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -4 c) (/ (pow b 2) a))) (taylor inf a) (#s(alt #s(approx (+ (* b b) (* c (* a -4))) (*.f64 (*.f64 a c) #s(literal -4 binary64))) (patch #s(approx (+ (* b b) (* c (* a -4))) (*.f64 (*.f64 a c) #s(literal -4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -4 (* a c)) (taylor -inf a) (#s(alt #s(approx (+ (* b b) (* c (* a -4))) (*.f64 (*.f64 a c) #s(literal -4 binary64))) (patch #s(approx (+ (* b b) (* c (* a -4))) (*.f64 (*.f64 a c) #s(literal -4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) (taylor -inf a) (#s(alt #s(approx (+ (* b b) (* c (* a -4))) (*.f64 (*.f64 a c) #s(literal -4 binary64))) (patch #s(approx (+ (* b b) (* c (* a -4))) (*.f64 (*.f64 a c) #s(literal -4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) (taylor -inf a) (#s(alt #s(approx (+ (* b b) (* c (* a -4))) (*.f64 (*.f64 a c) #s(literal -4 binary64))) (patch #s(approx (+ (* b b) (* c (* a -4))) (*.f64 (*.f64 a c) #s(literal -4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) (taylor -inf a) (#s(alt #s(approx (+ (* b b) (* c (* a -4))) (*.f64 (*.f64 a c) #s(literal -4 binary64))) (patch #s(approx (+ (* b b) (* c (* a -4))) (*.f64 (*.f64 a c) #s(literal -4 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor 0 a) (#s(alt (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) (patch (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (+ (* -4 (* a c)) (pow b 2)) (taylor 0 a) (#s(alt (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) (patch (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (+ (* -4 (* a c)) (pow b 2)) (taylor 0 a) (#s(alt (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) (patch (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (+ (* -4 (* a c)) (pow b 2)) (taylor 0 a) (#s(alt (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) (patch (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* -4 (* a c)) (taylor inf a) (#s(alt (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) (patch (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -4 c) (/ (pow b 2) a))) (taylor inf a) (#s(alt (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) (patch (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -4 c) (/ (pow b 2) a))) (taylor inf a) (#s(alt (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) (patch (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -4 c) (/ (pow b 2) a))) (taylor inf a) (#s(alt (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) (patch (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* -4 (* a c)) (taylor -inf a) (#s(alt (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) (patch (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) (taylor -inf a) (#s(alt (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) (patch (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) (taylor -inf a) (#s(alt (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) (patch (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) (taylor -inf a) (#s(alt (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) (patch (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor 0 c) (#s(alt (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) (patch (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (+ (* -4 (* a c)) (pow b 2)) (taylor 0 c) (#s(alt (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) (patch (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (+ (* -4 (* a c)) (pow b 2)) (taylor 0 c) (#s(alt (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) (patch (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (+ (* -4 (* a c)) (pow b 2)) (taylor 0 c) (#s(alt (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) (patch (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* -4 (* a c)) (taylor inf c) (#s(alt (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) (patch (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -4 a) (/ (pow b 2) c))) (taylor inf c) (#s(alt (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) (patch (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -4 a) (/ (pow b 2) c))) (taylor inf c) (#s(alt (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) (patch (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -4 a) (/ (pow b 2) c))) (taylor inf c) (#s(alt (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) (patch (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* -4 (* a c)) (taylor -inf c) (#s(alt (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) (patch (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) (taylor -inf c) (#s(alt (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) (patch (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) (taylor -inf c) (#s(alt (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) (patch (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) (taylor -inf c) (#s(alt (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) (patch (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* -4 (* a c)) (taylor 0 b) (#s(alt (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) (patch (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (+ (* -4 (* a c)) (pow b 2)) (taylor 0 b) (#s(alt (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) (patch (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (+ (* -4 (* a c)) (pow b 2)) (taylor 0 b) (#s(alt (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) (patch (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (+ (* -4 (* a c)) (pow b 2)) (taylor 0 b) (#s(alt (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) (patch (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor inf b) (#s(alt (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) (patch (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) (taylor inf b) (#s(alt (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) (patch (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) (taylor inf b) (#s(alt (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) (patch (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) (taylor inf b) (#s(alt (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) (patch (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor -inf b) (#s(alt (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) (patch (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) (taylor -inf b) (#s(alt (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) (patch (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) (taylor -inf b) (#s(alt (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) (patch (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) (taylor -inf b) (#s(alt (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) (patch (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) #<representation binary64>) () ())) ())
Calls

159 calls:

TimeVariablePointExpression
5.0ms
b
@0
(/ (+ (* (* (sqrt (+ (* -4 (* a c)) (* b b))) -1/2) a) (* a (* b -1/2))) (* a a))
4.0ms
b
@-inf
(/ (+ (* (* (sqrt (+ (* -4 (* a c)) (* b b))) -1/2) a) (* a (* b -1/2))) (* a a))
1.0ms
b
@inf
(/ (+ (* (* (sqrt (+ (* -4 (* a c)) (* b b))) -1/2) a) (* a (* b -1/2))) (* a a))
1.0ms
c
@inf
(/ (+ (* (* (sqrt (+ (* -4 (* a c)) (* b b))) -1/2) a) (* a (* b -1/2))) (* a a))
1.0ms
b
@0
(* 1/2 (/ b c))

simplify421.0ms (3.7%)

Memory
6.1MiB live, 488.9MiB allocated
Algorithm
egg-herbie
Rules
8 278×lower-fma.f64
8 278×lower-fma.f32
6 826×lower-*.f64
6 826×lower-*.f32
6 100×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0108413013
1365712740
0813112148
Stop Event
iter limit
node limit
Counts
636 → 627
Calls
Call 1
Inputs
(* -1 (/ b a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (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)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (/ b a))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))
(* (sqrt (/ c a)) (sqrt -1))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)))))
(* -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 (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))
(* -1 (/ b a))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))
(* -1 (/ c b))
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
(* (sqrt (* a c)) (sqrt -4))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))
b
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 b)
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* -4 (* a c))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* -4 (* a c))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* -4 (* a c))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* -4 (* a c))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* -4 (* a c))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(pow b 2)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(pow b 2)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(/ c b)
(+ (/ c b) (/ (* a (pow c 2)) (pow b 3)))
(+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b))
(+ (* a (+ (* a (+ (* 1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)) (* 2 (/ (pow c 3) (pow b 5))))) (/ (pow c 2) (pow b 3)))) (/ c b))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* 1/2 (/ b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (/ b a))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (* 1/2 (/ b a)))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* 1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/2 b) (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* -1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* 1/2 (/ b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (+ (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))
(/ c b)
(/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)
(/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b)
(/ b a)
(* -1 (* b (- (/ c (pow b 2)) (/ 1 a))))
(* -1 (* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))
(* -1 (* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a))))
(/ c b)
(* c (+ (/ 1 b) (/ (* a c) (pow b 3))))
(* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))
(* c (+ (* c (+ (* c (+ (* 1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))) (* 2 (/ (pow a 2) (pow b 5))))) (/ a (pow b 3)))) (/ 1 b)))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* 1/2 (/ b (* a c)))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (/ b (* a c))))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (* 1/2 (/ b (* a c)))))))
(* (sqrt (/ c a)) (sqrt -1))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1/2 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 1/2 (/ b a))) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* 1/2 (/ b a))) c)))))
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(* -1/2 (* (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 (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))
(/ c b)
(/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)
(/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b)
(/ b a)
(* -1 (* b (- (/ c (pow b 2)) (/ 1 a))))
(* -1 (* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))
(* -1 (* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a))))
(/ c b)
(* c (+ (/ 1 b) (/ (* a c) (pow b 3))))
(* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))
(* c (+ (* c (+ (* c (+ (* 1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))) (* 2 (/ (pow a 2) (pow b 5))))) (/ a (pow b 3)))) (/ 1 b)))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* 1/2 (/ b (* a c)))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (/ b (* a c))))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (* 1/2 (/ b (* a c)))))))
(* (sqrt (/ c a)) (sqrt -1))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1/2 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 1/2 (/ b a))) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* 1/2 (/ b a))) c)))))
(/ c b)
(+ (/ c b) (/ (* a (pow c 2)) (pow b 3)))
(+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b))
(+ (* a (+ (* a (+ (* 1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)) (* 2 (/ (pow c 3) (pow b 5))))) (/ (pow c 2) (pow b 3)))) (/ c b))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* 1/2 (/ b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (/ b a))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (* 1/2 (/ b a)))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* 1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/2 b) (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* -1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -4))))
(+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* -1 (/ b (* c (pow (sqrt -4) 2)))))
(+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* b (- (* -1 (* b (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))))) (/ 1 (* c (pow (sqrt -4) 2))))))
(+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* b (- (* b (- (* b (- (* 1/2 (/ 1 (* a (* (pow c 2) (pow (sqrt -4) 4))))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (sqrt -4))))) (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))))) (/ 1 (* c (pow (sqrt -4) 2))))))
(* 1/2 (/ b c))
(* b (+ (* -1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c))))
(* b (- (+ (* -1 (/ (+ (* -1/2 (* (pow a 2) c)) (* (pow a 2) c)) (pow b 4))) (* 1/2 (/ 1 c))) (* 1/2 (/ a (pow b 2)))))
(* b (- (+ (* -1 (/ (+ (* -1 (* a (* c (+ (* -1/2 (* (pow a 2) c)) (* (pow a 2) c))))) (+ (* -1 (* (pow a 3) (pow c 2))) (* 1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow c 2)))))) (pow b 6))) (* 1/2 (/ 1 c))) (+ (* -1/2 (/ (* (pow a 2) c) (pow b 4))) (+ (* 1/2 (/ a (pow b 2))) (/ (* (pow a 2) c) (pow b 4))))))
(* 1/2 (/ a b))
(* -1 (/ (+ (* -1/2 a) (* -1/2 (/ (* (pow a 2) c) (pow b 2)))) b))
(* -1 (/ (+ (* -1 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (+ (* -1/2 a) (* -1/2 (/ (* (pow a 2) c) (pow b 2))))) b))
(* -1 (/ (+ (* -2 (/ (* (pow a 4) (pow c 3)) (pow b 6))) (+ (* -1 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (+ (* -1/2 a) (+ (* -1/2 (/ (* (pow a 2) c) (pow b 2))) (* -1/2 (/ (* (pow a 4) (pow c 3)) (pow b 6))))))) b))
(* 1/2 (/ b c))
(/ (+ (* -1/2 (/ (* a c) b)) (* 1/2 b)) c)
(/ (+ (* 1/2 b) (* c (- (* -1 (* c (+ (* -1/2 (/ (pow a 2) (pow b 3))) (/ (pow a 2) (pow b 3))))) (* 1/2 (/ a b))))) c)
(/ (+ (* 1/2 b) (* c (- (* c (- (* -1 (* c (+ (* -1 (/ (* a (+ (* -1/2 (/ (pow a 2) (pow b 3))) (/ (pow a 2) (pow b 3)))) (pow b 2))) (+ (* -1 (/ (pow a 3) (pow b 5))) (* 1/8 (/ (* b (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) a)))))) (+ (* -1/2 (/ (pow a 2) (pow b 3))) (/ (pow a 2) (pow b 3))))) (* 1/2 (/ a b))))) c)
(* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -4))))
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* -1 (/ b (pow (sqrt -4) 2)))) c)
(/ (- (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (pow c 2)))) (/ b (pow (sqrt -4) 2))) c)
(/ (- (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1/2 (/ (* (pow b 3) (pow c 2)) (* a (pow (sqrt -4) 4)))) (* (sqrt (/ c a)) (/ (* b (+ (* -1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3))))) (sqrt -4)))) (pow c 3)))) (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* (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 (/ (+ (* -1/2 (* (sqrt (* a c)) (sqrt -1))) (* -1/4 b)) c))
(* -1 (/ (+ (* -1 (/ (- (+ (* -1/16 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) (* -1/4 (* b c))) c)) (* -1/2 (* (sqrt (* a c)) (sqrt -1)))) c))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/32 (/ (* (pow b 3) c) a)) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))))) c)) (* -1/4 (* b c))) c)) (* -1/2 (* (sqrt (* a c)) (sqrt -1)))) c))
(* 1/2 (/ b c))
(+ (* -1/2 (/ a b)) (* 1/2 (/ b c)))
(+ (* 1/2 (/ b c)) (* a (- (* -1 (* a (+ (* -1/2 (/ c (pow b 3))) (/ c (pow b 3))))) (* 1/2 (/ 1 b)))))
(+ (* 1/2 (/ b c)) (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* c (+ (* -1/2 (/ c (pow b 3))) (/ c (pow b 3)))) (pow b 2))) (+ (* -1 (/ (pow c 2) (pow b 5))) (* 1/8 (/ (* b (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) (pow c 2))))))) (+ (* -1/2 (/ c (pow b 3))) (/ c (pow b 3))))) (* 1/2 (/ 1 b)))))
(* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -4))))
(+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* -1 (/ b (* c (pow (sqrt -4) 2)))))
(- (+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (pow a 2)))) (/ b (* c (pow (sqrt -4) 2))))
(- (+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (pow b 3)) (* (pow c 2) (pow (sqrt -4) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (sqrt -4)))) (pow a 3)))) (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* (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)))
(+ (* 1/4 (/ b c)) (* 1/2 (* (sqrt (/ a c)) (sqrt -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))))
(+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/32 (/ (* a (pow b 3)) (pow c 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (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)))) (* 1/16 (* (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))))
(* 1/2 (/ b c))
(* 1/2 (/ b c))
(* 1/2 (/ b c))
(* 1/2 (/ b c))
(* 1/2 (/ b c))
(* 1/2 (/ b c))
(* 1/2 (/ b c))
(* 1/2 (/ b c))
(* 1/2 (/ b c))
(* 1/2 (/ b c))
(* 1/2 (/ b c))
(* 1/2 (/ b c))
(* 1/2 (/ b c))
(* 1/2 (/ b c))
(* 1/2 (/ b c))
(* 1/2 (/ b c))
(* 1/2 (/ b c))
(* 1/2 (/ b c))
(* 1/2 (/ b c))
(* 1/2 (/ b c))
(* 1/2 (/ b c))
(* 1/2 (/ b c))
(* 1/2 (/ b c))
(* 1/2 (/ b c))
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(* -1 (/ b a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (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)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))
(* -1 (/ b a))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))
(* -1 (/ c b))
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))
(* -1 (/ b a))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))
(* (sqrt (/ c a)) (sqrt -1))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) 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))))))
(* (sqrt (* a c)) (sqrt -4))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))
b
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 b)
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
(* -1 (/ b a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (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)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (/ b a))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))
(* (sqrt (/ c a)) (sqrt -1))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)))))
(* -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 (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))
(* -1 (/ b a))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))
(* -1 (/ (* b (+ (* -1/2 a) (* 1/2 a))) (pow a 2)))
(* -1 (* b (+ (/ -1/2 a) (+ (/ 1/2 a) (/ c (pow b 2))))))
(* -1 (* b (+ (/ -1/2 a) (+ (/ 1/2 a) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ -1/2 a) (+ (/ 1/2 a) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))))))))
(* -1 (* a b))
(* a (+ (* -1 b) (/ (* a c) b)))
(* a (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))))
(* a (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))))
(* -1/2 (* (sqrt (* (pow a 3) c)) (sqrt -4)))
(* (pow a 2) (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))))
(* (pow a 2) (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))))))
(* (pow a 2) (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))
(* (sqrt (* (pow a 3) c)) (sqrt -1))
(* (pow a 2) (+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))))
(* (pow a 2) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))))
(* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))))
(* -1 (* a b))
(+ (* -1 (* a b)) (/ (* (pow a 2) c) b))
(+ (* -1 (* a b)) (* c (+ (/ (* (pow a 3) c) (pow b 3)) (/ (pow a 2) b))))
(+ (* -1 (* a b)) (* c (+ (* c (+ (* 2 (/ (* (pow a 4) c) (pow b 5))) (/ (pow a 3) (pow b 3)))) (/ (pow a 2) b))))
(* -1/2 (* (sqrt (* (pow a 3) c)) (sqrt -4)))
(* c (+ (* -1/2 (* (sqrt (/ (pow a 3) c)) (sqrt -4))) (* -1/2 (/ (* a b) c))))
(* c (+ (* -1/2 (* (sqrt (/ (pow a 3) c)) (sqrt -4))) (+ (* -1/2 (/ (* a b) c)) (* -1/4 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -4)))))))
(* c (+ (* -1/2 (* (sqrt (/ (pow a 3) c)) (sqrt -4))) (+ (* -1/2 (/ (* a b) c)) (+ (* -1/4 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))
(* (sqrt (* (pow a 3) c)) (sqrt -1))
(* -1 (* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (* 1/2 (/ (* a b) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (* -1 (/ (+ (* -1/2 (* a b)) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (* a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (* a b))) c)))))
(* -1/2 (* (sqrt (* (pow a 3) c)) (sqrt -4)))
(+ (* -1/2 (* a b)) (* -1/2 (* (sqrt (* (pow a 3) c)) (sqrt -4))))
(+ (* -1/2 (* (sqrt (* (pow a 3) c)) (sqrt -4))) (* b (+ (* -1/2 a) (* -1/4 (* (sqrt (/ a c)) (/ b (sqrt -4)))))))
(+ (* -1/2 (* (sqrt (* (pow a 3) c)) (sqrt -4))) (* b (+ (* -1/2 a) (* b (+ (* -1/4 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))))))
(* -1 (* a b))
(* b (+ (* -1 a) (/ (* (pow a 2) c) (pow b 2))))
(* b (+ (* -1 a) (+ (/ (* (pow a 2) c) (pow b 2)) (/ (* (pow a 3) (pow c 2)) (pow b 4)))))
(* b (+ (* -1 a) (+ (* 2 (/ (* (pow a 4) (pow c 3)) (pow b 6))) (+ (/ (* (pow a 2) c) (pow b 2)) (/ (* (pow a 3) (pow c 2)) (pow b 4))))))
(* -1 (* b (+ (* -1/2 a) (* 1/2 a))))
(* -1 (* b (+ (* -1/2 a) (+ (* 1/2 a) (/ (* (pow a 2) c) (pow b 2))))))
(* -1 (* b (+ (* -1/2 a) (+ (* 1/2 a) (+ (/ (* (pow a 2) c) (pow b 2)) (/ (* (pow a 3) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ (* -1/2 a) (+ (* 1/2 a) (+ (* 2 (/ (* (pow a 4) (pow c 3)) (pow b 6))) (+ (/ (* (pow a 2) c) (pow b 2)) (/ (* (pow a 3) (pow c 2)) (pow b 4))))))))
(* -1/2 b)
(+ (* -1/2 b) (/ (* a c) b))
(+ (* -1/2 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3)))))
(+ (* -1/2 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b))))
(* -1/2 (* (sqrt (* a c)) (sqrt -4)))
(* a (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))
(* a (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))
(* a (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))
(* (sqrt (* a c)) (sqrt -1))
(* -1 (* a (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))))))
(* -1 (* a (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1))))))))
(* -1 (* a (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (+ (* -1/1024 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))))))))
(* -1/2 b)
(+ (* -1/2 b) (/ (* a c) b))
(+ (* -1/2 b) (* c (+ (/ a b) (/ (* (pow a 2) c) (pow b 3)))))
(+ (* -1/2 b) (* c (+ (* c (+ (* 2 (/ (* (pow a 3) c) (pow b 5))) (/ (pow a 2) (pow b 3)))) (/ a b))))
(* -1/2 (* (sqrt (* a c)) (sqrt -4)))
(* c (+ (* -1/2 (* (sqrt (/ a c)) (sqrt -4))) (* -1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4))))))
(* c (+ (* -1/2 (* (sqrt (/ a c)) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))
(* c (+ (* -1/2 (* (sqrt (/ a c)) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))
(* (sqrt (* a c)) (sqrt -1))
(* -1 (* c (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1))))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (+ (* -1/1024 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))))))))
(* -1/2 (* (sqrt (* a c)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (* a c)) (sqrt -4))) (* -1/4 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))))
(+ (* -1/2 (* (sqrt (* a c)) (sqrt -4))) (* (pow b 2) (+ (* -1/4 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))))
(+ (* -1/2 (* (sqrt (* a c)) (sqrt -4))) (* (pow b 2) (+ (* -1/4 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))))))))
(* -1/2 b)
(* b (- (/ (* a c) (pow b 2)) 1/2))
(* b (- (+ (/ (* a c) (pow b 2)) (/ (* (pow a 2) (pow c 2)) (pow b 4))) 1/2))
(* b (- (+ (* 2 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (/ (* a c) (pow b 2)) (/ (* (pow a 2) (pow c 2)) (pow b 4)))) 1/2))
(* 1/2 b)
(* -1 (* b (- (/ (* a c) (pow b 2)) 1/2)))
(* -1 (* b (- (+ (/ (* a c) (pow b 2)) (/ (* (pow a 2) (pow c 2)) (pow b 4))) 1/2)))
(* -1 (* b (- (+ (* 2 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (/ (* a c) (pow b 2)) (/ (* (pow a 2) (pow c 2)) (pow b 4)))) 1/2)))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
(* (sqrt (* a c)) (sqrt -4))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))
b
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 b)
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(* -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))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* -4 (* a c))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* -4 (* a c))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* -4 (* a c))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* -4 (* a c))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* -4 (* a c))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(pow b 2)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(pow b 2)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
Outputs
(* -1 (/ b a))
(neg.f64 (/.f64 b a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/.f64 (-.f64 (/.f64 (*.f64 a c) b) b) a)
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/.f64 (-.f64 (*.f64 a (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))) (/.f64 c b))) b) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)
(/.f64 (-.f64 (*.f64 a (fma.f64 a (fma.f64 #s(literal 2 binary64) (/.f64 (*.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))) b) 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 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(*.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 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))))))
(fma.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 b a)) (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))
(fma.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 b a)) (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 1/16 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))))))))
(* (sqrt (/ c a)) (sqrt -1))
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (/.f64 b a) #s(literal -1/2 binary64)))
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 b #s(literal 1/2 binary64))) a))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (-.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 (fma.f64 #s(literal -1/128 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c))))) a)) a))
(* -1 (/ b a))
(neg.f64 (/.f64 b a))
(+ (* -1 (/ b a)) (/ c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))
(-.f64 (*.f64 c (fma.f64 a (/.f64 c (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) b))) (/.f64 b a))
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))
(fma.f64 c (fma.f64 c (fma.f64 #s(literal 2 binary64) (/.f64 (*.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)) (neg.f64 (/.f64 b 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))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))
(*.f64 c (*.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (/.f64 b (*.f64 a c)))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))
(*.f64 c (fma.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (/.f64 b (*.f64 a c))) (*.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)))))))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))
(*.f64 c (fma.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (/.f64 b (*.f64 a 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)))))) (*.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))))))))))
(* (sqrt (/ c a)) (sqrt -1))
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))
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(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(*.f64 (-.f64 (*.f64 a #s(literal 4 binary64)) (/.f64 (*.f64 b b) c)) (neg.f64 c))
(pow b 2)
(*.f64 b b)
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))
(* -4 (* a c))
(*.f64 (*.f64 a c) #s(literal -4 binary64))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(*.f64 a (fma.f64 c #s(literal -4 binary64) (/.f64 (*.f64 b b) a)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(*.f64 a (fma.f64 c #s(literal -4 binary64) (/.f64 (*.f64 b b) a)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(*.f64 a (fma.f64 c #s(literal -4 binary64) (/.f64 (*.f64 b b) a)))
(* -4 (* a c))
(*.f64 (*.f64 a c) #s(literal -4 binary64))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(*.f64 (-.f64 (*.f64 c #s(literal 4 binary64)) (/.f64 (*.f64 b b) a)) (neg.f64 a))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(*.f64 (-.f64 (*.f64 c #s(literal 4 binary64)) (/.f64 (*.f64 b b) a)) (neg.f64 a))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(*.f64 (-.f64 (*.f64 c #s(literal 4 binary64)) (/.f64 (*.f64 b b) a)) (neg.f64 a))
(pow b 2)
(*.f64 b b)
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))
(* -4 (* a c))
(*.f64 (*.f64 a c) #s(literal -4 binary64))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(*.f64 a (fma.f64 c #s(literal -4 binary64) (/.f64 (*.f64 b b) a)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(*.f64 a (fma.f64 c #s(literal -4 binary64) (/.f64 (*.f64 b b) a)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(*.f64 a (fma.f64 c #s(literal -4 binary64) (/.f64 (*.f64 b b) a)))
(* -4 (* a c))
(*.f64 (*.f64 a c) #s(literal -4 binary64))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(*.f64 (-.f64 (*.f64 c #s(literal 4 binary64)) (/.f64 (*.f64 b b) a)) (neg.f64 a))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(*.f64 (-.f64 (*.f64 c #s(literal 4 binary64)) (/.f64 (*.f64 b b) a)) (neg.f64 a))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(*.f64 (-.f64 (*.f64 c #s(literal 4 binary64)) (/.f64 (*.f64 b b) a)) (neg.f64 a))
(pow b 2)
(*.f64 b b)
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))
(* -4 (* a c))
(*.f64 (*.f64 a c) #s(literal -4 binary64))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(*.f64 c (fma.f64 a #s(literal -4 binary64) (/.f64 (*.f64 b b) c)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(*.f64 c (fma.f64 a #s(literal -4 binary64) (/.f64 (*.f64 b b) c)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(*.f64 c (fma.f64 a #s(literal -4 binary64) (/.f64 (*.f64 b b) c)))
(* -4 (* a c))
(*.f64 (*.f64 a c) #s(literal -4 binary64))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(*.f64 (-.f64 (*.f64 a #s(literal 4 binary64)) (/.f64 (*.f64 b b) c)) (neg.f64 c))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(*.f64 (-.f64 (*.f64 a #s(literal 4 binary64)) (/.f64 (*.f64 b b) c)) (neg.f64 c))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(*.f64 (-.f64 (*.f64 a #s(literal 4 binary64)) (/.f64 (*.f64 b b) c)) (neg.f64 c))
(* -4 (* a c))
(*.f64 (*.f64 a c) #s(literal -4 binary64))
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(*.f64 (*.f64 b b) (fma.f64 #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)))

rewrite408.0ms (3.6%)

Memory
5.2MiB live, 592.2MiB allocated
Rules
5 178×lower-fma.f32
5 170×lower-fma.f64
4 606×lower-/.f32
4 594×lower-/.f64
4 128×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047259
076248
1288241
21781241
08196240
Stop Event
iter limit
node limit
iter limit
Counts
20 → 1 139
Calls
Call 1
Inputs
(fma.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 (/.f64 b a) #s(literal -1/2 binary64)))
(/.f64 #s(literal -1/2 binary64) a)
(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))
#s(approx (/ (/ 1 a) (/ 2 (- b (sqrt (+ (* b b) (* c (* a -4))))))) (/.f64 c b))
(/.f64 c b)
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1 (- b (sqrt (+ (* b b) (* c (* a -4)))))) a) (*.f64 #s(literal 1/2 binary64) (/.f64 b c))))
#s(approx (* (/ 1 (- b (sqrt (+ (* b b) (* c (* a -4)))))) a) (*.f64 #s(literal 1/2 binary64) (/.f64 b c)))
(*.f64 #s(literal 1/2 binary64) (/.f64 b c))
(/.f64 b c)
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 (*.f64 a c) #s(literal -4 binary64))))))
(+.f64 b (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))
(sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 (*.f64 a c) #s(literal -4 binary64))))
(/.f64 (fma.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal -1/2 binary64)) a (*.f64 a (*.f64 b #s(literal -1/2 binary64)))) (*.f64 a a))
(fma.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal -1/2 binary64)) a (*.f64 a (*.f64 b #s(literal -1/2 binary64))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal -1/2 binary64))
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))
(*.f64 b b)
#s(approx (+ (* b b) (* c (* a -4))) (*.f64 (*.f64 a c) #s(literal -4 binary64)))
(fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 a a) (*.f64 a (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))))) #s(literal -1 binary64)))
(+.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 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 a #s(literal -2 binary64))) (/.f64 b (*.f64 a #s(literal -2 binary64))))
(-.f64 (/.f64 (*.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) a))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b) (*.f64 a #s(literal -2 binary64)))) (/.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) b) (*.f64 #s(literal -1/2 binary64) b)) (*.f64 a a)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b) (*.f64 a #s(literal -2 binary64)))))
(-.f64 (/.f64 (/.f64 (*.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (*.f64 (*.f64 #s(literal -1/2 binary64) a) (*.f64 #s(literal -1/2 binary64) a))) (*.f64 a (-.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (*.f64 #s(literal -1/2 binary64) b)))) (*.f64 a a)) (/.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a b) (*.f64 a b))) (*.f64 a (-.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (*.f64 #s(literal -1/2 binary64) b)))) (*.f64 a a)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 a (neg.f64 a))) (/.f64 (*.f64 a (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))) (*.f64 a (neg.f64 a))))
(-.f64 (/.f64 (*.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (*.f64 (*.f64 #s(literal -1/2 binary64) a) (*.f64 #s(literal -1/2 binary64) a))) (*.f64 (*.f64 a a) (*.f64 a (-.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (*.f64 #s(literal -1/2 binary64) b))))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a b) (*.f64 a b))) (*.f64 (*.f64 a a) (*.f64 a (-.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (*.f64 #s(literal -1/2 binary64) b))))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) b) (*.f64 #s(literal -1/2 binary64) b)) (*.f64 a a)) (/.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 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) a))) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (*.f64 a #s(literal -2 binary64)))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (/.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 -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (/.f64 b (*.f64 a #s(literal -2 binary64))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) a) (/.f64 b (*.f64 a #s(literal -2 binary64))))
(fma.f64 (/.f64 #s(literal -1/2 binary64) a) b (/.f64 (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) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (/.f64 b (*.f64 a #s(literal -2 binary64))))
(fma.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 b #s(literal 1 binary64)) (/.f64 (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) (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) #s(literal 1 binary64)) (/.f64 b (*.f64 a #s(literal -2 binary64))))
(fma.f64 b (/.f64 #s(literal -1/2 binary64) a) (/.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 (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 binary64) a) (/.f64 b #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))))
(fma.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) #s(literal -2 binary64)) (/.f64 b (*.f64 a #s(literal -2 binary64))))
(fma.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) a) (/.f64 b (*.f64 a #s(literal -2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (neg.f64 b) a) (/.f64 (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) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (/.f64 #s(literal 1 binary64) a) (/.f64 b (*.f64 a #s(literal -2 binary64))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1 binary64) a) (/.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 binary64)) (/.f64 #s(literal -1/2 binary64) a) (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 a #s(literal -2 binary64))))
(fma.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) #s(literal 1 binary64)) (/.f64 #s(literal -1/2 binary64) a) (/.f64 b (*.f64 a #s(literal -2 binary64))))
(fma.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) a) #s(literal -1/2 binary64) (/.f64 b (*.f64 a #s(literal -2 binary64))))
(fma.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) a) (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 a #s(literal -2 binary64))))
(fma.f64 (/.f64 (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) a) (/.f64 (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) #s(literal -2 binary64)) (/.f64 b (*.f64 a #s(literal -2 binary64))))
(fma.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) a) (/.f64 b (*.f64 a #s(literal -2 binary64))))
(neg.f64 (/.f64 (*.f64 a (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))) (*.f64 a (neg.f64 a))))
(neg.f64 (/.f64 (neg.f64 (*.f64 a (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))))) (*.f64 a a)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a a) (*.f64 a (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 a a) (*.f64 a (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal -1/2 binary64) (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 a (*.f64 a (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))))) a))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) a)) (*.f64 (/.f64 b (*.f64 a #s(literal -2 binary64))) (/.f64 (-.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 (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 -1/8 binary64) (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b (*.f64 b b)) (/.f64 #s(literal -1/8 binary64) (*.f64 a (*.f64 a a)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b) (*.f64 a #s(literal -2 binary64))) (-.f64 (*.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) a))) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) b) (*.f64 #s(literal -1/2 binary64) b)) (*.f64 a a)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 a a) (*.f64 a (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))))))))
(/.f64 (*.f64 a (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))) (*.f64 a a))
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(pow.f64 (*.f64 b b) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 b)) #s(literal 2 binary64))
(*.f64 b b)
(*.f64 (exp.f64 (log.f64 b)) (exp.f64 (log.f64 b)))
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#s(approx (+ (* b b) (* c (* a -4))) (*.f64 a (*.f64 c #s(literal -4 binary64))))
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(/.f64 (fma.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -64 binary64)))) (fma.f64 (*.f64 b b) (fma.f64 b b (*.f64 #s(literal 4 binary64) (*.f64 a c))) (*.f64 #s(literal 16 binary64) (*.f64 (*.f64 a c) (*.f64 a c)))))
(/.f64 (fma.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -64 binary64)))) (fma.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)) (*.f64 (*.f64 b b) (*.f64 b b))))
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(/.f64 (neg.f64 (fma.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -64 binary64))))) (neg.f64 (fma.f64 (*.f64 b b) (fma.f64 b b (*.f64 #s(literal 4 binary64) (*.f64 a c))) (*.f64 #s(literal 16 binary64) (*.f64 (*.f64 a c) (*.f64 a c))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -64 binary64))))) (neg.f64 (fma.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)) (*.f64 (*.f64 b b) (*.f64 b b)))))
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(/.f64 (neg.f64 (*.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (fma.f64 b b (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (neg.f64 (fma.f64 b b (*.f64 #s(literal 4 binary64) (*.f64 a c)))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 16 binary64) (*.f64 (*.f64 a c) (*.f64 a c))) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b))) (*.f64 (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)) (*.f64 (*.f64 b b) (*.f64 b b)))) (*.f64 (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (fma.f64 b b (*.f64 #s(literal 4 binary64) (*.f64 a c)))) (*.f64 (fma.f64 b b (*.f64 #s(literal 4 binary64) (*.f64 a c))) (*.f64 #s(literal 16 binary64) (*.f64 (*.f64 a c) (*.f64 a c))))) (*.f64 (fma.f64 b b (*.f64 #s(literal 4 binary64) (*.f64 a c))) (fma.f64 b b (*.f64 #s(literal 4 binary64) (*.f64 a c)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -64 binary64)))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 b b) (fma.f64 b b (*.f64 #s(literal 4 binary64) (*.f64 a c))) (*.f64 #s(literal 16 binary64) (*.f64 (*.f64 a c) (*.f64 a c)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -64 binary64)))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)) (*.f64 (*.f64 b b) (*.f64 b b))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 16 binary64) (*.f64 (*.f64 a c) (*.f64 a c))) (*.f64 (*.f64 b b) (*.f64 b b))))) (neg.f64 (neg.f64 (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)))))
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(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 (*.f64 a c) (*.f64 a c))) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 (*.f64 a c) (*.f64 a c))) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b))) (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 (*.f64 a c) (*.f64 a c))) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b))) (fma.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b))) (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b))) (*.f64 (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 (*.f64 a c) (*.f64 a c))) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b))) (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (fma.f64 b b (*.f64 #s(literal 4 binary64) (*.f64 a c)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 (*.f64 a c) (*.f64 a c))) (fma.f64 b b (*.f64 #s(literal 4 binary64) (*.f64 a c)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (fma.f64 b b (*.f64 #s(literal 4 binary64) (*.f64 a c)))) (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (fma.f64 b b (*.f64 #s(literal 4 binary64) (*.f64 a c)))) (fma.f64 (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 (*.f64 a c) (*.f64 a c))) (fma.f64 b b (*.f64 #s(literal 4 binary64) (*.f64 a c)))) (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 (*.f64 a c) (*.f64 a c))) (fma.f64 b b (*.f64 #s(literal 4 binary64) (*.f64 a c)))) (*.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (fma.f64 b b (*.f64 #s(literal 4 binary64) (*.f64 a c)))) (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 (*.f64 a c) (*.f64 a c))) (fma.f64 b b (*.f64 #s(literal 4 binary64) (*.f64 a c))))))))
(pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) #s(literal 2 binary64))
(pow.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) #s(literal 2 binary64))
(pow.f64 (*.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))) #s(literal 1/2 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 b b) (fma.f64 b b (*.f64 #s(literal 4 binary64) (*.f64 a c))) (*.f64 #s(literal 16 binary64) (*.f64 (*.f64 a c) (*.f64 a c)))) (fma.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -64 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)) (*.f64 (*.f64 b b) (*.f64 b b))) (fma.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -64 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)) (-.f64 (*.f64 #s(literal 16 binary64) (*.f64 (*.f64 a c) (*.f64 a c))) (*.f64 (*.f64 b b) (*.f64 b b)))) #s(literal -1 binary64))
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(*.f64 (sqrt.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))))
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(*.f64 (fma.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -64 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)) (*.f64 (*.f64 b b) (*.f64 b b)))))
(*.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))
(*.f64 (-.f64 (*.f64 #s(literal 16 binary64) (*.f64 (*.f64 a c) (*.f64 a c))) (*.f64 (*.f64 b b) (*.f64 b b))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b))))
(*.f64 (*.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (fma.f64 b b (*.f64 #s(literal 4 binary64) (*.f64 a c)))) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 #s(literal 4 binary64) (*.f64 a c)))))
(*.f64 (pow.f64 (fma.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -64 binary64)))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (fma.f64 b b (*.f64 #s(literal 4 binary64) (*.f64 a c))) (*.f64 #s(literal 16 binary64) (*.f64 (*.f64 a c) (*.f64 a c))))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fma.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -64 binary64)))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)) (*.f64 (*.f64 b b) (*.f64 b b)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 (*.f64 #s(literal 16 binary64) (*.f64 (*.f64 a c) (*.f64 a c))) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (fma.f64 b b (*.f64 #s(literal 4 binary64) (*.f64 a c)))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 #s(literal 4 binary64) (*.f64 a c)))) #s(literal 1 binary64)))

eval274.0ms (2.4%)

Memory
27.6MiB live, 539.0MiB allocated
Compiler

Compiled 54 546 to 3 688 computations (93.2% saved)

prune352.0ms (3.1%)

Memory
-7.4MiB live, 534.2MiB allocated
Pruning

29 alts after pruning (21 fresh and 8 done)

PrunedKeptTotal
New1 80671 813
Fresh61420
Picked235
Done055
Total1 814291 843
Accuracy
95.9%
Counts
1 843 → 29
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.8%
(fma.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 (/.f64 b a) #s(literal -1/2 binary64)))
23.2%
(/.f64 (fma.f64 (*.f64 (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 a (*.f64 c #s(literal -4 binary64))))) #s(literal -1/2 binary64)) a (*.f64 a (*.f64 #s(literal -1/2 binary64) b))) (*.f64 a a))
26.4%
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 2 binary64) (-.f64 b (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))
33.5%
(/.f64 (+.f64 b (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64)))
32.7%
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 (*.f64 b b) #s(approx (+ (* b b) (* c (* a -4))) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (-.f64 b (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))
29.5%
(/.f64 (*.f64 (-.f64 (*.f64 b b) #s(approx (+ (* b b) (* c (* a -4))) (*.f64 a (*.f64 c #s(literal -4 binary64))))) #s(literal -1/2 binary64)) (*.f64 (-.f64 b (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) a))
29.3%
(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b)) (*.f64 #s(literal 2 binary64) a))
33.4%
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))))
26.4%
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) a))
56.7%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
33.4%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 (*.f64 a c) #s(literal -4 binary64))))))
13.6%
#s(approx (/ (/ 1 a) (/ 2 (- b (sqrt (+ (* b b) (* c (* a -4))))))) (/.f64 c b))
13.6%
#s(approx (/ (/ 1 a) (/ 2 (- b (sqrt (+ (* b b) (* c (* a -4))))))) (/.f64 #s(literal 1 binary64) (/.f64 b c)))
13.6%
#s(approx (/ (/ 1 a) (/ 2 (- b (sqrt (+ (* b b) (* c (* a -4))))))) (*.f64 (/.f64 #s(literal 1 binary64) b) c))
36.1%
#s(approx (/ (- (neg b) (/ 1 (sqrt (/ 1 (+ (* b b) (* c (* a -4))))))) (* 2 a)) (fma.f64 b (/.f64 #s(literal -1 binary64) a) (/.f64 c b)))
23.5%
#s(approx (/ (- (neg b) (/ 1 (sqrt (/ 1 (+ (* b b) (* c (* a -4))))))) (* 2 a)) (/.f64 (fma.f64 a c (*.f64 (neg.f64 b) b)) (*.f64 b a)))
27.5%
#s(approx (/ (- (neg b) (/ 1 (sqrt (/ 1 (+ (* b b) (* c (* a -4))))))) (* 2 a)) (/.f64 (/.f64 (fma.f64 a c (*.f64 (neg.f64 b) b)) b) a))
36.2%
#s(approx (/ (- (neg b) (/ 1 (sqrt (/ 1 (+ (* b b) (* c (* a -4))))))) (* 2 a)) (/.f64 c (neg.f64 b)))
36.1%
#s(approx (/ (- (neg b) (/ 1 (sqrt (/ 1 (+ (* b b) (* c (* a -4))))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a)))
26.2%
#s(approx (/ (- (neg b) (/ 1 (sqrt (/ 1 (+ (* b b) (* c (* a -4))))))) (* 2 a)) #s(approx (- (/ c b) (/ b a)) (*.f64 c (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 b (*.f64 c a))))))
36.0%
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 a b)))
36.0%
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 b (/.f64 #s(literal -1 binary64) a)))
17.0%
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (/.f64 b a))) (*.f64 (neg.f64 a) (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 b a) (/.f64 b a))))) (*.f64 (neg.f64 a) (+.f64 #s(literal 0 binary64) (/.f64 b a))))))
36.1%
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (/.f64 b a)))
18.8%
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (exp.f64 (*.f64 (log.f64 (/.f64 a b)) #s(literal -1 binary64)))))
2.3%
#s(approx (/ 1/2 (* (/ 1 (- b (sqrt (+ (* b b) (* c (* a -4)))))) a)) (/.f64 b a))
2.3%
#s(approx (/ 1/2 (* (/ 1 (- b (sqrt (+ (* b b) (* c (* a -4)))))) a)) (/.f64 #s(literal 1 binary64) (/.f64 a b)))
2.3%
#s(approx (/ 1/2 (* (/ 1 (- b (sqrt (+ (* b b) (* c (* a -4)))))) a)) (*.f64 (/.f64 #s(literal 1 binary64) a) b))
3.9%
#s(approx (/ 1/2 (* (/ 1 (- b (sqrt (+ (* b b) (* c (* a -4)))))) a)) (exp.f64 (*.f64 (log.f64 (/.f64 a b)) #s(literal -1 binary64))))
Compiler

Compiled 1 105 to 434 computations (60.7% saved)

regimes149.0ms (1.3%)

Memory
3.4MiB live, 104.2MiB allocated
Counts
51 → 3
Calls
Call 1
Inputs
#s(approx (/ 1/2 (* (/ 1 (- b (sqrt (+ (* b b) (* c (* a -4)))))) a)) (/.f64 b a))
#s(approx (/ 1/2 (* (/ 1 (- b (sqrt (+ (* b b) (* c (* a -4)))))) a)) (/.f64 c b))
#s(approx (/ (/ 1 a) (/ 2 (- b (sqrt (+ (* b b) (* c (* a -4))))))) (/.f64 c b))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (/.f64 b a)))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b)))
#s(approx (/ (- (neg b) (/ 1 (sqrt (/ 1 (+ (* b b) (* c (* a -4))))))) (* 2 a)) (/.f64 c (neg.f64 b)))
#s(approx (/ 1/2 (* (/ 1 (- b (sqrt (+ (* b b) (* c (* a -4)))))) a)) (*.f64 (/.f64 #s(literal 1 binary64) a) b))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 b (/.f64 #s(literal -1 binary64) a)))
#s(approx (/ (/ 1 a) (/ 2 (- b (sqrt (+ (* b b) (* c (* a -4))))))) (*.f64 (/.f64 #s(literal 1 binary64) b) c))
#s(approx (/ 1/2 (* (/ 1 (- b (sqrt (+ (* b b) (* c (* a -4)))))) a)) (/.f64 #s(literal 1 binary64) (/.f64 a b)))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 a b)))
#s(approx (/ (/ 1 a) (/ 2 (- b (sqrt (+ (* b b) (* c (* a -4))))))) (/.f64 #s(literal 1 binary64) (/.f64 b c)))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a)))
#s(approx (/ (- (neg b) (/ 1 (sqrt (/ 1 (+ (* b b) (* c (* a -4))))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a)))
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1 (- b (sqrt (+ (* b b) (* c (* a -4)))))) a) (*.f64 #s(literal 1/2 binary64) (/.f64 b c))))
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1 (- b (sqrt (+ (* b b) (* c (* a -4)))))) a) (/.f64 (*.f64 #s(literal 1/2 binary64) a) b)))
#s(approx (/ (- (neg b) (/ 1 (sqrt (/ 1 (+ (* b b) (* c (* a -4))))))) (* 2 a)) (fma.f64 b (/.f64 #s(literal -1 binary64) a) (/.f64 c b)))
#s(approx (/ (- (neg b) (/ 1 (sqrt (/ 1 (+ (* b b) (* c (* a -4))))))) (* 2 a)) (/.f64 (fma.f64 a c (*.f64 (neg.f64 b) b)) (*.f64 b a)))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (-.f64 (*.f64 c (/.f64 a b)) b) a))
#s(approx (/ (- (neg b) (/ 1 (sqrt (/ 1 (+ (* b b) (* c (* a -4))))))) (* 2 a)) (fma.f64 (/.f64 #s(literal 1 binary64) b) c (/.f64 (neg.f64 b) a)))
#s(approx (/ (- (neg b) (/ 1 (sqrt (/ 1 (+ (* b b) (* c (* a -4))))))) (* 2 a)) #s(approx (- (/ c b) (/ b a)) (*.f64 c (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 b (*.f64 c a))))))
#s(approx (/ (- (neg b) (/ 1 (sqrt (/ 1 (+ (* b b) (* c (* a -4))))))) (* 2 a)) (/.f64 (/.f64 (fma.f64 a c (*.f64 (neg.f64 b) b)) b) a))
(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b)) (*.f64 #s(literal 2 binary64) a))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 (*.f64 a c) #s(literal -4 binary64))))))
(/.f64 (+.f64 b (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64)))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b #s(approx (sqrt (+ (* b b) (* c (* a -4)))) (fma.f64 (/.f64 (*.f64 a c) b) #s(literal -2 binary64) b))))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (-.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (fma.f64 c (*.f64 #s(literal -2 binary64) (/.f64 a b)) b))) (*.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 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) a))
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))))
(/.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 binary64) a) (/.f64 #s(literal 2 binary64) (-.f64 b (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))
(/.f64 (fma.f64 (*.f64 (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 a (*.f64 c #s(literal -4 binary64))))) #s(literal -1/2 binary64)) a (*.f64 a (*.f64 #s(literal -1/2 binary64) b))) (*.f64 a a))
(fma.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (/.f64 b (*.f64 a #s(literal -2 binary64))))
(fma.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 (/.f64 b a) #s(literal -1/2 binary64)))
(fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64))))
(/.f64 (*.f64 (-.f64 (*.f64 b b) #s(approx (+ (* b b) (* c (* a -4))) (*.f64 a (*.f64 c #s(literal -4 binary64))))) #s(literal -1/2 binary64)) (*.f64 (-.f64 b (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) a))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 2 binary64) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))))
(/.f64 (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* b b) (* c (* a -4))) (*.f64 (*.f64 a c) #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (fma.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal -1/2 binary64)) a (*.f64 a (*.f64 b #s(literal -1/2 binary64)))) (*.f64 a a))
(/.f64 (-.f64 (*.f64 (*.f64 b #s(literal 1/2 binary64)) a) (*.f64 a (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) #s(literal 1/2 binary64)))) (*.f64 a a))
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 (*.f64 b b) #s(approx (+ (* b b) (* c (* a -4))) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (-.f64 b (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))
(/.f64 (-.f64 (neg.f64 b) (/.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 2 binary64) a))
(/.f64 (fma.f64 b b (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 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))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (/.f64 b a))) (*.f64 (neg.f64 a) (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 b a) (/.f64 b a))))) (*.f64 (neg.f64 a) (+.f64 #s(literal 0 binary64) (/.f64 b a))))))
#s(approx (/ 1/2 (* (/ 1 (- b (sqrt (+ (* b b) (* c (* a -4)))))) a)) (exp.f64 (*.f64 (log.f64 (/.f64 a b)) #s(literal -1 binary64))))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (exp.f64 (*.f64 (log.f64 (/.f64 a b)) #s(literal -1 binary64)))))
Outputs
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b)))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (/.f64 b a)))
Calls

4 calls:

64.0ms
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a))
53.0ms
a
15.0ms
c
14.0ms
b
Results
AccuracySegmentsBranch
56.8%1a
92.1%3b
56.8%1c
80.1%5(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a))
Compiler

Compiled 32 to 23 computations (28.1% saved)

regimes43.0ms (0.4%)

Memory
-7.1MiB live, 25.3MiB allocated
Counts
29 → 3
Calls
Call 1
Inputs
#s(approx (/ 1/2 (* (/ 1 (- b (sqrt (+ (* b b) (* c (* a -4)))))) a)) (/.f64 b a))
#s(approx (/ 1/2 (* (/ 1 (- b (sqrt (+ (* b b) (* c (* a -4)))))) a)) (/.f64 c b))
#s(approx (/ (/ 1 a) (/ 2 (- b (sqrt (+ (* b b) (* c (* a -4))))))) (/.f64 c b))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (/.f64 b a)))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b)))
#s(approx (/ (- (neg b) (/ 1 (sqrt (/ 1 (+ (* b b) (* c (* a -4))))))) (* 2 a)) (/.f64 c (neg.f64 b)))
#s(approx (/ 1/2 (* (/ 1 (- b (sqrt (+ (* b b) (* c (* a -4)))))) a)) (*.f64 (/.f64 #s(literal 1 binary64) a) b))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 b (/.f64 #s(literal -1 binary64) a)))
#s(approx (/ (/ 1 a) (/ 2 (- b (sqrt (+ (* b b) (* c (* a -4))))))) (*.f64 (/.f64 #s(literal 1 binary64) b) c))
#s(approx (/ 1/2 (* (/ 1 (- b (sqrt (+ (* b b) (* c (* a -4)))))) a)) (/.f64 #s(literal 1 binary64) (/.f64 a b)))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 a b)))
#s(approx (/ (/ 1 a) (/ 2 (- b (sqrt (+ (* b b) (* c (* a -4))))))) (/.f64 #s(literal 1 binary64) (/.f64 b c)))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a)))
#s(approx (/ (- (neg b) (/ 1 (sqrt (/ 1 (+ (* b b) (* c (* a -4))))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a)))
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1 (- b (sqrt (+ (* b b) (* c (* a -4)))))) a) (*.f64 #s(literal 1/2 binary64) (/.f64 b c))))
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1 (- b (sqrt (+ (* b b) (* c (* a -4)))))) a) (/.f64 (*.f64 #s(literal 1/2 binary64) a) b)))
#s(approx (/ (- (neg b) (/ 1 (sqrt (/ 1 (+ (* b b) (* c (* a -4))))))) (* 2 a)) (fma.f64 b (/.f64 #s(literal -1 binary64) a) (/.f64 c b)))
#s(approx (/ (- (neg b) (/ 1 (sqrt (/ 1 (+ (* b b) (* c (* a -4))))))) (* 2 a)) (/.f64 (fma.f64 a c (*.f64 (neg.f64 b) b)) (*.f64 b a)))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (-.f64 (*.f64 c (/.f64 a b)) b) a))
#s(approx (/ (- (neg b) (/ 1 (sqrt (/ 1 (+ (* b b) (* c (* a -4))))))) (* 2 a)) (fma.f64 (/.f64 #s(literal 1 binary64) b) c (/.f64 (neg.f64 b) a)))
#s(approx (/ (- (neg b) (/ 1 (sqrt (/ 1 (+ (* b b) (* c (* a -4))))))) (* 2 a)) #s(approx (- (/ c b) (/ b a)) (*.f64 c (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 b (*.f64 c a))))))
#s(approx (/ (- (neg b) (/ 1 (sqrt (/ 1 (+ (* b b) (* c (* a -4))))))) (* 2 a)) (/.f64 (/.f64 (fma.f64 a c (*.f64 (neg.f64 b) b)) b) a))
(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b)) (*.f64 #s(literal 2 binary64) a))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 (*.f64 a c) #s(literal -4 binary64))))))
(/.f64 (+.f64 b (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64)))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b #s(approx (sqrt (+ (* b b) (* c (* a -4)))) (fma.f64 (/.f64 (*.f64 a c) b) #s(literal -2 binary64) b))))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (-.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (fma.f64 c (*.f64 #s(literal -2 binary64) (/.f64 a b)) b))) (*.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)))))))
Outputs
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b)))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (/.f64 b a)))
Calls

1 calls:

41.0ms
b
Results
AccuracySegmentsBranch
91.9%3b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes10.0ms (0.1%)

Memory
16.8MiB live, 16.8MiB allocated
Counts
28 → 3
Calls
Call 1
Inputs
#s(approx (/ 1/2 (* (/ 1 (- b (sqrt (+ (* b b) (* c (* a -4)))))) a)) (/.f64 b a))
#s(approx (/ 1/2 (* (/ 1 (- b (sqrt (+ (* b b) (* c (* a -4)))))) a)) (/.f64 c b))
#s(approx (/ (/ 1 a) (/ 2 (- b (sqrt (+ (* b b) (* c (* a -4))))))) (/.f64 c b))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (/.f64 b a)))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b)))
#s(approx (/ (- (neg b) (/ 1 (sqrt (/ 1 (+ (* b b) (* c (* a -4))))))) (* 2 a)) (/.f64 c (neg.f64 b)))
#s(approx (/ 1/2 (* (/ 1 (- b (sqrt (+ (* b b) (* c (* a -4)))))) a)) (*.f64 (/.f64 #s(literal 1 binary64) a) b))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 b (/.f64 #s(literal -1 binary64) a)))
#s(approx (/ (/ 1 a) (/ 2 (- b (sqrt (+ (* b b) (* c (* a -4))))))) (*.f64 (/.f64 #s(literal 1 binary64) b) c))
#s(approx (/ 1/2 (* (/ 1 (- b (sqrt (+ (* b b) (* c (* a -4)))))) a)) (/.f64 #s(literal 1 binary64) (/.f64 a b)))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 a b)))
#s(approx (/ (/ 1 a) (/ 2 (- b (sqrt (+ (* b b) (* c (* a -4))))))) (/.f64 #s(literal 1 binary64) (/.f64 b c)))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a)))
#s(approx (/ (- (neg b) (/ 1 (sqrt (/ 1 (+ (* b b) (* c (* a -4))))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a)))
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1 (- b (sqrt (+ (* b b) (* c (* a -4)))))) a) (*.f64 #s(literal 1/2 binary64) (/.f64 b c))))
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1 (- b (sqrt (+ (* b b) (* c (* a -4)))))) a) (/.f64 (*.f64 #s(literal 1/2 binary64) a) b)))
#s(approx (/ (- (neg b) (/ 1 (sqrt (/ 1 (+ (* b b) (* c (* a -4))))))) (* 2 a)) (fma.f64 b (/.f64 #s(literal -1 binary64) a) (/.f64 c b)))
#s(approx (/ (- (neg b) (/ 1 (sqrt (/ 1 (+ (* b b) (* c (* a -4))))))) (* 2 a)) (/.f64 (fma.f64 a c (*.f64 (neg.f64 b) b)) (*.f64 b a)))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (-.f64 (*.f64 c (/.f64 a b)) b) a))
#s(approx (/ (- (neg b) (/ 1 (sqrt (/ 1 (+ (* b b) (* c (* a -4))))))) (* 2 a)) (fma.f64 (/.f64 #s(literal 1 binary64) b) c (/.f64 (neg.f64 b) a)))
#s(approx (/ (- (neg b) (/ 1 (sqrt (/ 1 (+ (* b b) (* c (* a -4))))))) (* 2 a)) #s(approx (- (/ c b) (/ b a)) (*.f64 c (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 b (*.f64 c a))))))
#s(approx (/ (- (neg b) (/ 1 (sqrt (/ 1 (+ (* b b) (* c (* a -4))))))) (* 2 a)) (/.f64 (/.f64 (fma.f64 a c (*.f64 (neg.f64 b) b)) b) a))
(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b)) (*.f64 #s(literal 2 binary64) a))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 (*.f64 a c) #s(literal -4 binary64))))))
(/.f64 (+.f64 b (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64)))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b #s(approx (sqrt (+ (* b b) (* c (* a -4)))) (fma.f64 (/.f64 (*.f64 a c) b) #s(literal -2 binary64) b))))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (-.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (fma.f64 c (*.f64 #s(literal -2 binary64) (/.f64 a b)) b))) (*.f64 #s(literal 2 binary64) a))
Outputs
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b)))
(/.f64 (+.f64 b (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64)))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a)))
Calls

1 calls:

8.0ms
b
Results
AccuracySegmentsBranch
85.7%3b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes32.0ms (0.3%)

Memory
-26.5MiB live, 12.5MiB allocated
Counts
24 → 3
Calls
Call 1
Inputs
#s(approx (/ 1/2 (* (/ 1 (- b (sqrt (+ (* b b) (* c (* a -4)))))) a)) (/.f64 b a))
#s(approx (/ 1/2 (* (/ 1 (- b (sqrt (+ (* b b) (* c (* a -4)))))) a)) (/.f64 c b))
#s(approx (/ (/ 1 a) (/ 2 (- b (sqrt (+ (* b b) (* c (* a -4))))))) (/.f64 c b))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (/.f64 b a)))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b)))
#s(approx (/ (- (neg b) (/ 1 (sqrt (/ 1 (+ (* b b) (* c (* a -4))))))) (* 2 a)) (/.f64 c (neg.f64 b)))
#s(approx (/ 1/2 (* (/ 1 (- b (sqrt (+ (* b b) (* c (* a -4)))))) a)) (*.f64 (/.f64 #s(literal 1 binary64) a) b))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 b (/.f64 #s(literal -1 binary64) a)))
#s(approx (/ (/ 1 a) (/ 2 (- b (sqrt (+ (* b b) (* c (* a -4))))))) (*.f64 (/.f64 #s(literal 1 binary64) b) c))
#s(approx (/ 1/2 (* (/ 1 (- b (sqrt (+ (* b b) (* c (* a -4)))))) a)) (/.f64 #s(literal 1 binary64) (/.f64 a b)))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 a b)))
#s(approx (/ (/ 1 a) (/ 2 (- b (sqrt (+ (* b b) (* c (* a -4))))))) (/.f64 #s(literal 1 binary64) (/.f64 b c)))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a)))
#s(approx (/ (- (neg b) (/ 1 (sqrt (/ 1 (+ (* b b) (* c (* a -4))))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a)))
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1 (- b (sqrt (+ (* b b) (* c (* a -4)))))) a) (*.f64 #s(literal 1/2 binary64) (/.f64 b c))))
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1 (- b (sqrt (+ (* b b) (* c (* a -4)))))) a) (/.f64 (*.f64 #s(literal 1/2 binary64) a) b)))
#s(approx (/ (- (neg b) (/ 1 (sqrt (/ 1 (+ (* b b) (* c (* a -4))))))) (* 2 a)) (fma.f64 b (/.f64 #s(literal -1 binary64) a) (/.f64 c b)))
#s(approx (/ (- (neg b) (/ 1 (sqrt (/ 1 (+ (* b b) (* c (* a -4))))))) (* 2 a)) (/.f64 (fma.f64 a c (*.f64 (neg.f64 b) b)) (*.f64 b a)))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (-.f64 (*.f64 c (/.f64 a b)) b) a))
#s(approx (/ (- (neg b) (/ 1 (sqrt (/ 1 (+ (* b b) (* c (* a -4))))))) (* 2 a)) (fma.f64 (/.f64 #s(literal 1 binary64) b) c (/.f64 (neg.f64 b) a)))
#s(approx (/ (- (neg b) (/ 1 (sqrt (/ 1 (+ (* b b) (* c (* a -4))))))) (* 2 a)) #s(approx (- (/ c b) (/ b a)) (*.f64 c (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 b (*.f64 c a))))))
#s(approx (/ (- (neg b) (/ 1 (sqrt (/ 1 (+ (* b b) (* c (* a -4))))))) (* 2 a)) (/.f64 (/.f64 (fma.f64 a c (*.f64 (neg.f64 b) b)) b) a))
(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b)) (*.f64 #s(literal 2 binary64) a))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 (*.f64 a c) #s(literal -4 binary64))))))
Outputs
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b)))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 (*.f64 a c) #s(literal -4 binary64))))))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a)))
Calls

1 calls:

31.0ms
b
Results
AccuracySegmentsBranch
85.6%3b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes14.0ms (0.1%)

Memory
21.3MiB live, 21.2MiB allocated
Counts
23 → 2
Calls
Call 1
Inputs
#s(approx (/ 1/2 (* (/ 1 (- b (sqrt (+ (* b b) (* c (* a -4)))))) a)) (/.f64 b a))
#s(approx (/ 1/2 (* (/ 1 (- b (sqrt (+ (* b b) (* c (* a -4)))))) a)) (/.f64 c b))
#s(approx (/ (/ 1 a) (/ 2 (- b (sqrt (+ (* b b) (* c (* a -4))))))) (/.f64 c b))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (/.f64 b a)))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b)))
#s(approx (/ (- (neg b) (/ 1 (sqrt (/ 1 (+ (* b b) (* c (* a -4))))))) (* 2 a)) (/.f64 c (neg.f64 b)))
#s(approx (/ 1/2 (* (/ 1 (- b (sqrt (+ (* b b) (* c (* a -4)))))) a)) (*.f64 (/.f64 #s(literal 1 binary64) a) b))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 b (/.f64 #s(literal -1 binary64) a)))
#s(approx (/ (/ 1 a) (/ 2 (- b (sqrt (+ (* b b) (* c (* a -4))))))) (*.f64 (/.f64 #s(literal 1 binary64) b) c))
#s(approx (/ 1/2 (* (/ 1 (- b (sqrt (+ (* b b) (* c (* a -4)))))) a)) (/.f64 #s(literal 1 binary64) (/.f64 a b)))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 a b)))
#s(approx (/ (/ 1 a) (/ 2 (- b (sqrt (+ (* b b) (* c (* a -4))))))) (/.f64 #s(literal 1 binary64) (/.f64 b c)))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a)))
#s(approx (/ (- (neg b) (/ 1 (sqrt (/ 1 (+ (* b b) (* c (* a -4))))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a)))
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1 (- b (sqrt (+ (* b b) (* c (* a -4)))))) a) (*.f64 #s(literal 1/2 binary64) (/.f64 b c))))
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1 (- b (sqrt (+ (* b b) (* c (* a -4)))))) a) (/.f64 (*.f64 #s(literal 1/2 binary64) a) b)))
#s(approx (/ (- (neg b) (/ 1 (sqrt (/ 1 (+ (* b b) (* c (* a -4))))))) (* 2 a)) (fma.f64 b (/.f64 #s(literal -1 binary64) a) (/.f64 c b)))
#s(approx (/ (- (neg b) (/ 1 (sqrt (/ 1 (+ (* b b) (* c (* a -4))))))) (* 2 a)) (/.f64 (fma.f64 a c (*.f64 (neg.f64 b) b)) (*.f64 b a)))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (-.f64 (*.f64 c (/.f64 a b)) b) a))
#s(approx (/ (- (neg b) (/ 1 (sqrt (/ 1 (+ (* b b) (* c (* a -4))))))) (* 2 a)) (fma.f64 (/.f64 #s(literal 1 binary64) b) c (/.f64 (neg.f64 b) a)))
#s(approx (/ (- (neg b) (/ 1 (sqrt (/ 1 (+ (* b b) (* c (* a -4))))))) (* 2 a)) #s(approx (- (/ c b) (/ b a)) (*.f64 c (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 b (*.f64 c a))))))
#s(approx (/ (- (neg b) (/ 1 (sqrt (/ 1 (+ (* b b) (* c (* a -4))))))) (* 2 a)) (/.f64 (/.f64 (fma.f64 a c (*.f64 (neg.f64 b) b)) b) a))
(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b)) (*.f64 #s(literal 2 binary64) a))
Outputs
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b)))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a)))
Calls

2 calls:

7.0ms
b
6.0ms
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a))
Results
AccuracySegmentsBranch
52.8%3(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a))
69.9%2b
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes5.0ms (0%)

Memory
7.8MiB live, 7.8MiB allocated
Counts
12 → 2
Calls
Call 1
Inputs
#s(approx (/ 1/2 (* (/ 1 (- b (sqrt (+ (* b b) (* c (* a -4)))))) a)) (/.f64 b a))
#s(approx (/ 1/2 (* (/ 1 (- b (sqrt (+ (* b b) (* c (* a -4)))))) a)) (/.f64 c b))
#s(approx (/ (/ 1 a) (/ 2 (- b (sqrt (+ (* b b) (* c (* a -4))))))) (/.f64 c b))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (/.f64 b a)))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b)))
#s(approx (/ (- (neg b) (/ 1 (sqrt (/ 1 (+ (* b b) (* c (* a -4))))))) (* 2 a)) (/.f64 c (neg.f64 b)))
#s(approx (/ 1/2 (* (/ 1 (- b (sqrt (+ (* b b) (* c (* a -4)))))) a)) (*.f64 (/.f64 #s(literal 1 binary64) a) b))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 b (/.f64 #s(literal -1 binary64) a)))
#s(approx (/ (/ 1 a) (/ 2 (- b (sqrt (+ (* b b) (* c (* a -4))))))) (*.f64 (/.f64 #s(literal 1 binary64) b) c))
#s(approx (/ 1/2 (* (/ 1 (- b (sqrt (+ (* b b) (* c (* a -4)))))) a)) (/.f64 #s(literal 1 binary64) (/.f64 a b)))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 a b)))
#s(approx (/ (/ 1 a) (/ 2 (- b (sqrt (+ (* b b) (* c (* a -4))))))) (/.f64 #s(literal 1 binary64) (/.f64 b c)))
Outputs
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b)))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (/.f64 b a)))
Calls

1 calls:

4.0ms
b
Results
AccuracySegmentsBranch
69.6%2b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes22.0ms (0.2%)

Memory
-34.9MiB live, 14.9MiB allocated
Counts
4 → 2
Calls
Call 1
Inputs
#s(approx (/ 1/2 (* (/ 1 (- b (sqrt (+ (* b b) (* c (* a -4)))))) a)) (/.f64 b a))
#s(approx (/ 1/2 (* (/ 1 (- b (sqrt (+ (* b b) (* c (* a -4)))))) a)) (/.f64 c b))
#s(approx (/ (/ 1 a) (/ 2 (- b (sqrt (+ (* b b) (* c (* a -4))))))) (/.f64 c b))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (/.f64 b a)))
Outputs
#s(approx (/ 1/2 (* (/ 1 (- b (sqrt (+ (* b b) (* c (* a -4)))))) a)) (/.f64 c b))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (/.f64 b a)))
Calls

4 calls:

15.0ms
a
2.0ms
c
2.0ms
b
2.0ms
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a))
Results
AccuracySegmentsBranch
36.1%1(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a))
36.1%1c
36.1%1a
46.8%2b
Compiler

Compiled 32 to 23 computations (28.1% saved)

regimes8.0ms (0.1%)

Memory
11.9MiB live, 11.9MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (/ 1/2 (* (/ 1 (- b (sqrt (+ (* b b) (* c (* a -4)))))) a)) (/.f64 b a))
#s(approx (/ 1/2 (* (/ 1 (- b (sqrt (+ (* b b) (* c (* a -4)))))) a)) (/.f64 c b))
#s(approx (/ (/ 1 a) (/ 2 (- b (sqrt (+ (* b b) (* c (* a -4))))))) (/.f64 c b))
Outputs
#s(approx (/ 1/2 (* (/ 1 (- b (sqrt (+ (* b b) (* c (* a -4)))))) a)) (/.f64 c b))
Calls

4 calls:

2.0ms
a
2.0ms
b
2.0ms
c
2.0ms
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a))
Results
AccuracySegmentsBranch
13.6%1(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a))
13.6%1a
13.6%1c
13.6%1b
Compiler

Compiled 32 to 23 computations (28.1% saved)

regimes6.0ms (0%)

Memory
10.0MiB live, 10.0MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (/ 1/2 (* (/ 1 (- b (sqrt (+ (* b b) (* c (* a -4)))))) a)) (/.f64 b a))
Outputs
#s(approx (/ 1/2 (* (/ 1 (- b (sqrt (+ (* b b) (* c (* a -4)))))) a)) (/.f64 b a))
Calls

4 calls:

1.0ms
c
1.0ms
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a))
1.0ms
a
1.0ms
b
Results
AccuracySegmentsBranch
2.3%1(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a))
2.3%1b
2.3%1a
2.3%1c
Compiler

Compiled 32 to 23 computations (28.1% saved)

bsearch67.0ms (0.6%)

Memory
-21.1MiB live, 57.4MiB allocated
Algorithm
binary-search
Stop Event
predicate-same
narrow-enough
Steps
TimeLeftRight
11.0ms
1.3799208600897767e+113
2.2015199920438306e+119
51.0ms
-2.177896498343087e-19
-6.308571370932887e-43
Samples
33.0ms102×0valid
9.0ms63×1valid
8.0ms43×2valid
4.0ms47×0invalid
Compiler

Compiled 413 to 293 computations (29.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-mult: 6.0ms (30% of total)
ival-sub: 4.0ms (20% of total)
ival-div: 3.0ms (15% of total)
adjust: 3.0ms (15% of total)
ival-sqrt: 3.0ms (15% of total)
ival-neg: 1.0ms (5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch16.0ms (0.1%)

Memory
24.9MiB live, 24.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
13.0ms
1.3799208600897767e+113
2.2015199920438306e+119
1.0ms
-2.177896498343087e-19
-6.308571370932887e-43
Samples
8.0ms112×0valid
0.0ms0invalid
Compiler

Compiled 583 to 400 computations (31.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 2.0ms (34.5% of total)
ival-sub: 1.0ms (17.2% of total)
ival-div: 1.0ms (17.2% of total)
ival-sqrt: 1.0ms (17.2% of total)
ival-neg: 1.0ms (17.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch24.0ms (0.2%)

Memory
-19.1MiB live, 20.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
21.0ms
3.6372271181162564e-89
9.004030524136221e-89
1.0ms
-2.177896498343087e-19
-6.308571370932887e-43
Samples
6.0ms80×0valid
3.0ms33×0invalid
Compiler

Compiled 454 to 313 computations (31.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 3.0ms (52.4% of total)
ival-sub: 1.0ms (17.5% of total)
ival-div: 1.0ms (17.5% of total)
ival-sqrt: 1.0ms (17.5% of total)
ival-neg: 1.0ms (17.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
2.9MiB live, 2.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
0.0ms
3.6372271181162564e-89
9.004030524136221e-89
1.0ms
-2.177896498343087e-19
-6.308571370932887e-43
Compiler

Compiled 454 to 313 computations (31.1% saved)

bsearch51.0ms (0.4%)

Memory
-4.6MiB live, 36.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
48.0ms
-2.093910425982004e-307
5.867830074129946e-306
Samples
35.0ms128×0valid
6.0ms81×0invalid
Compiler

Compiled 191 to 124 computations (35.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 35.0ms
ival-div: 26.0ms (73.5% of total)
ival-mult: 5.0ms (14.1% of total)
ival-sub: 2.0ms (5.7% of total)
ival-sqrt: 1.0ms (2.8% of total)
ival-neg: 1.0ms (2.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
-2.093910425982004e-307
5.867830074129946e-306
Compiler

Compiled 167 to 116 computations (30.5% saved)

bsearch46.0ms (0.4%)

Memory
8.4MiB live, 47.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
42.0ms
-1.0904233740641771e+43
-1.599821022680134e+23
Samples
22.0ms74×2valid
9.0ms65×1valid
3.0ms37×0valid
1.0ms17×0invalid
Compiler

Compiled 210 to 141 computations (32.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-mult: 5.0ms (26% of total)
adjust: 4.0ms (20.8% of total)
ival-sub: 4.0ms (20.8% of total)
ival-div: 3.0ms (15.6% of total)
ival-sqrt: 3.0ms (15.6% of total)
ival-neg: 1.0ms (5.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

simplify19.0ms (0.2%)

Memory
-18.0MiB live, 21.2MiB allocated
Algorithm
egg-herbie
Rules
48×*-commutative_binary64
40×+-commutative_binary64
32×sub-neg_binary64
26×neg-sub0_binary64
26×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
088481
1122481
2148481
3175481
4190481
5202481
6207481
7210481
8211481
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 b #s(literal -7454058310771683/392318858461667547739736838950479151006397215279002157056 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) (if (<=.f64 b #s(literal 200000000000000003111883225893368604853640279384212286673954116086166756232951140652997077983009489535241256173568000 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (/.f64 b a)))))
(if (<=.f64 b #s(literal -7454058310771683/392318858461667547739736838950479151006397215279002157056 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) (if (<=.f64 b #s(literal 2100000000000000120164802863200847325863312018239083624203295454633248397476811233254589286796636569060560270744616960 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))))))) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (/.f64 b a)))))
(if (<=.f64 b #s(literal -7454058310771683/392318858461667547739736838950479151006397215279002157056 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) (if (<=.f64 b #s(literal 1612616214368019/17917957937422433684459538244547554224973163977877196279199912807710334969441287563047019946172856926208 binary64)) (/.f64 (+.f64 b (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a)))))
(if (<=.f64 b #s(literal -7454058310771683/392318858461667547739736838950479151006397215279002157056 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) (if (<=.f64 b #s(literal 1612616214368019/17917957937422433684459538244547554224973163977877196279199912807710334969441287563047019946172856926208 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a)))))
(if (<=.f64 b #s(literal -202402253307311/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b #s(literal -202402253307311/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (/.f64 b a))))
(if (<=.f64 b #s(literal -169999999999999995805696 binary64)) #s(approx (/ 1/2 (* (/ 1 (- b (sqrt (+ (* b b) (* c (* a -4)))))) a)) (/.f64 c b)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (/.f64 b a))))
#s(approx (/ 1/2 (* (/ 1 (- b (sqrt (+ (* b b) (* c (* a -4)))))) a)) (/.f64 c b))
#s(approx (/ 1/2 (* (/ 1 (- b (sqrt (+ (* b b) (* c (* a -4)))))) a)) (/.f64 b a))
Outputs
(if (<=.f64 b #s(literal -7454058310771683/392318858461667547739736838950479151006397215279002157056 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) (if (<=.f64 b #s(literal 200000000000000003111883225893368604853640279384212286673954116086166756232951140652997077983009489535241256173568000 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (/.f64 b a)))))
(if (<=.f64 b #s(literal -7454058310771683/392318858461667547739736838950479151006397215279002157056 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) (if (<=.f64 b #s(literal 200000000000000003111883225893368604853640279384212286673954116086166756232951140652997077983009489535241256173568000 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 a #s(literal 2 binary64))) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (/.f64 b a)))))
(if (<=.f64 b #s(literal -7454058310771683/392318858461667547739736838950479151006397215279002157056 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) (if (<=.f64 b #s(literal 2100000000000000120164802863200847325863312018239083624203295454633248397476811233254589286796636569060560270744616960 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))))))) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (/.f64 b a)))))
(if (<=.f64 b #s(literal -7454058310771683/392318858461667547739736838950479151006397215279002157056 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) (if (<=.f64 b #s(literal 1612616214368019/17917957937422433684459538244547554224973163977877196279199912807710334969441287563047019946172856926208 binary64)) (/.f64 (+.f64 b (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a)))))
(if (<=.f64 b #s(literal -7454058310771683/392318858461667547739736838950479151006397215279002157056 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) (if (<=.f64 b #s(literal 1612616214368019/17917957937422433684459538244547554224973163977877196279199912807710334969441287563047019946172856926208 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a)))))
(if (<=.f64 b #s(literal -202402253307311/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b #s(literal -202402253307311/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (/.f64 b a))))
(if (<=.f64 b #s(literal -169999999999999995805696 binary64)) #s(approx (/ 1/2 (* (/ 1 (- b (sqrt (+ (* b b) (* c (* a -4)))))) a)) (/.f64 c b)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (/.f64 b a))))
#s(approx (/ 1/2 (* (/ 1 (- b (sqrt (+ (* b b) (* c (* a -4)))))) a)) (/.f64 c b))
#s(approx (/ 1/2 (* (/ 1 (- b (sqrt (+ (* b b) (* c (* a -4)))))) a)) (/.f64 b a))

soundness863.0ms (7.6%)

Memory
9.9MiB live, 535.8MiB allocated
Rules
9 868×lower-fma.f64
9 868×lower-fma.f32
7 984×lower-*.f64
7 984×lower-*.f32
7 512×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0144614854
1478014550
0865613952
047259
076248
1288241
21781241
08196240
01451
02351
18151
259148
0809344
05453138
117183109
257583070
081202910
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 355 to 175 computations (50.7% saved)

preprocess107.0ms (1%)

Memory
-7.7MiB live, 190.2MiB allocated
Compiler

Compiled 638 to 208 computations (67.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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