quadp (p42, positive)

Time bar (total: 8.5s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze142.0ms (1.7%)

Memory
24.5MiB live, 171.8MiB 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)

sample1.6s (18.9%)

Memory
31.4MiB live, 1 346.2MiB allocated
Samples
506.0ms5 467×0valid
238.0ms1 200×2valid
235.0ms1 407×1valid
79.0ms950×0invalid
70.0ms182×3valid
Precisions
Click to see histograms. Total time spent on operations: 774.0ms
ival-mult: 250.0ms (32.3% of total)
ival-div: 125.0ms (16.1% of total)
ival-sqrt: 102.0ms (13.2% of total)
adjust: 83.0ms (10.7% of total)
ival-sub: 78.0ms (10.1% of total)
ival-add: 68.0ms (8.8% of total)
ival-neg: 49.0ms (6.3% 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

explain188.0ms (2.2%)

Memory
-0.7MiB live, 201.1MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
990-0-(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))
810-0-(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))))
130-2(-3.4860642042228666e-132 30874.282173671545 -4.9874460746741914e-175)(/.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))
20-0-(-.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-rescue940
(*.f64 b b)overflow82
(*.f64 #s(literal 4 binary64) (*.f64 a c))overflow18
(*.f64 a c)overflow18
(-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))overflow94
+.f64(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))))cancellation810
/.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/n100
(*.f64 b b)underflow31
(*.f64 #s(literal 4 binary64) (*.f64 a c))underflow26
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))))underflow20
(*.f64 a c)underflow26
(-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))underflow5
sqrt.f64(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))uflow-rescue50
(*.f64 b b)underflow31
(*.f64 #s(literal 4 binary64) (*.f64 a c))underflow26
(*.f64 a c)underflow26
(-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))underflow5
-.f64(-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))nan-rescue20
(*.f64 b b)overflow82
(*.f64 #s(literal 4 binary64) (*.f64 a c))overflow18
(*.f64 a c)overflow18
/.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))n/o10
(*.f64 #s(literal 2 binary64) a)overflow1
Confusion
Predicted +Predicted -
+1310
-21104
Precision
0.8618421052631579
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+13100
-210104
Precision?
0.8618421052631579
Recall?
1.0
Freqs
test
numberfreq
0104
1112
239
31
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
31.0ms82×2valid
29.0ms314×0valid
21.0ms104×1valid
4.0ms12×3valid
Compiler

Compiled 161 to 46 computations (71.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 55.0ms
ival-div: 14.0ms (25.5% of total)
ival-mult: 14.0ms (25.5% of total)
ival-add: 8.0ms (14.5% of total)
adjust: 6.0ms (10.9% of total)
ival-sqrt: 6.0ms (10.9% of total)
ival-sub: 4.0ms (7.3% of total)
ival-neg: 2.0ms (3.6% of total)
exact: 1.0ms (1.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess155.0ms (1.8%)

Memory
3.8MiB live, 89.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056158
1161144
2421144
31232144
43210144
56085144
67810144
01417
02317
14116
27416
315616
423216
537016
665416
7112016
8222216
9251416
10263916
11269416
12269516
13269516
14270116
0270115
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 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b))
Compiler

Compiled 17 to 14 computations (17.6% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.6%
(/.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 17 to 14 computations (17.6% saved)

simplify83.0ms (1%)

Memory
8.9MiB live, 45.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01470
02370
14168
27468
315668
423268
537068
665468
7112068
8222268
9251468
10263968
11269468
12269568
13269568
14270168
0270164
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 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b))
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))))
(-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)
(neg.f64 b)
b
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))
(-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))
(*.f64 b b)
(*.f64 #s(literal 4 binary64) (*.f64 a c))
(*.f64 (*.f64 c a) #s(literal 4 binary64))
#s(literal 4 binary64)
(*.f64 a c)
(*.f64 c a)
a
c
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)

localize61.0ms (0.7%)

Memory
-10.6MiB live, 78.8MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.39843750000000006
(-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))
accuracy2.7585238578214173
(/.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))
accuracy18.847461314855305
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))))
accuracy23.151112989651004
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))
Samples
24.0ms157×0valid
13.0ms52×1valid
12.0ms41×2valid
2.0ms3valid
Compiler

Compiled 72 to 16 computations (77.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-mult: 9.0ms (38.1% of total)
adjust: 3.0ms (12.7% of total)
ival-div: 3.0ms (12.7% of total)
ival-sqrt: 3.0ms (12.7% of total)
ival-sub: 2.0ms (8.5% of total)
ival-add: 2.0ms (8.5% of total)
ival-neg: 1.0ms (4.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series28.0ms (0.3%)

Memory
-16.9MiB live, 22.0MiB allocated
Counts
5 → 156
Calls
Call 1
Inputs
#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 (-.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 (+.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 (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 (* -2 (/ (* a c) b)) (taylor 0 c) (#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 (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))) (taylor 0 c) (#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 (* 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 (+.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 (* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)))))))) (taylor 0 c) (#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 (pow b 2) (taylor 0 c) (#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 (+ (* -4 (* a c)) (pow b 2)) (taylor 0 c) (#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 (+ (* -4 (* a c)) (pow b 2)) (taylor 0 c) (#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 (+ (* -4 (* a c)) (pow b 2)) (taylor 0 c) (#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 (* -1 (/ c b)) (taylor 0 c) (#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 (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) (taylor 0 c) (#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 (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) (taylor 0 c) (#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 (* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))) (taylor 0 c) (#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 (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 (+.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 (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) (taylor inf c) (#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 (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c))) (taylor inf c) (#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 (* 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))) (taylor inf c) (#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 (* -4 (* a c)) (taylor inf c) (#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>) () ())) ())
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#s(alt (* a (- (/ (pow b 2) a) (* 4 c))) (taylor inf a) (#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 (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (taylor inf 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 (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) (taylor inf 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 (+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))) (taylor inf 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 (+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))) (taylor inf 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 (* (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 (+.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 (* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)))) (taylor -inf a) (#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 (* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) (taylor -inf a) (#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 (* -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)))))) (taylor -inf a) (#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 (* -4 (* a c)) (taylor -inf a) (#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 (* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c)))) (taylor -inf a) (#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 (* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c)))) (taylor -inf a) (#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 (* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c)))) (taylor -inf a) (#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 (* -1 (* (sqrt (/ c a)) (sqrt -1))) (taylor -inf 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 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) (taylor -inf 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 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a))) (taylor -inf 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 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a))) (taylor -inf 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 (* -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>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
6.0ms
c
@-inf
((+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (- (* b b) (* 4 (* a c))) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg b) (sqrt (- (* b b) (* 4 (* a c)))))
3.0ms
c
@inf
((+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (- (* b b) (* 4 (* a c))) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg b) (sqrt (- (* b b) (* 4 (* a c)))))
3.0ms
b
@inf
((+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (- (* b b) (* 4 (* a c))) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg b) (sqrt (- (* b b) (* 4 (* a c)))))
2.0ms
a
@-inf
((+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (- (* b b) (* 4 (* a c))) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg b) (sqrt (- (* b b) (* 4 (* a c)))))
2.0ms
b
@0
((+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (- (* b b) (* 4 (* a c))) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg b) (sqrt (- (* b b) (* 4 (* a c)))))

simplify208.0ms (2.4%)

Memory
20.1MiB live, 137.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05453273
117383232
260703204
082353047
Stop Event
iter limit
node limit
Counts
156 → 153
Calls
Call 1
Inputs
(* -2 (/ (* a c) b))
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b))))))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
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 (/ 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)))
(* -4 (* a c))
(* c (- (/ (pow b 2) c) (* 4 a)))
(* c (- (/ (pow b 2) c) (* 4 a)))
(* c (- (/ (pow b 2) c) (* 4 a)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(* (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 (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -4 (* a c))
(* -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 (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -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 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)))
(* -4 (* a c))
(- (pow b 2) (* 4 (* a c)))
(- (pow b 2) (* 4 (* a c)))
(- (pow b 2) (* 4 (* a c)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))
(* -1 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)))))))))
(* -2 (/ (* a c) b))
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
(pow b 2)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* -1 (/ c b))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
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)))))))
(* -2 b)
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(pow b 2)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -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))))))))
(* -2 (/ (* a c) b))
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
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 (/ 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)))
(* -4 (* a c))
(* a (- (/ (pow b 2) a) (* 4 c)))
(* a (- (/ (pow b 2) a) (* 4 c)))
(* a (- (/ (pow b 2) a) (* 4 c)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(* (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 (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -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))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
Outputs
(* -2 (/ (* a c) b))
(*.f64 (*.f64 (/.f64 c b) #s(literal -2 binary64)) a)
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))
(*.f64 (*.f64 c #s(literal -2 binary64)) (fma.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) (*.f64 a a) (/.f64 a b)))
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))
(*.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -4 binary64)) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) a) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c)
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) c) (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 20 binary64) b)) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -4 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) a) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c)
(pow b 2)
(*.f64 b b)
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))
(* -1 (/ c b))
(/.f64 (neg.f64 c) b)
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(neg.f64 (*.f64 c (fma.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) a (/.f64 #s(literal 1 binary64) b))))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) a) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c)
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) a) (*.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 c b)) (/.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) a) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c)
b
(+ b (* -2 (/ (* a c) b)))
(fma.f64 (*.f64 c #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 (/.f64 c (pow.f64 b #s(literal 3 binary64))) (*.f64 a a) (/.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 (fma.f64 (fma.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -4 binary64)) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) a) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c b)
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a)))
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 b (neg.f64 c))) c)
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c)))
(*.f64 (fma.f64 (*.f64 (*.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 b (neg.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)))) (/ b c)))
(*.f64 (fma.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 3 binary64))))) (sqrt.f64 #s(literal -4 binary64))) (fma.f64 (*.f64 (*.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 b (neg.f64 c))))) c)
(* -4 (* a c))
(*.f64 #s(literal -4 binary64) (*.f64 c a))
(* c (- (/ (pow b 2) c) (* 4 a)))
(*.f64 (fma.f64 #s(literal -4 binary64) a (*.f64 b (/.f64 b c))) c)
(* c (- (/ (pow b 2) c) (* 4 a)))
(*.f64 (fma.f64 #s(literal -4 binary64) a (*.f64 b (/.f64 b c))) c)
(* c (- (/ (pow b 2) c) (* 4 a)))
(*.f64 (fma.f64 #s(literal -4 binary64) a (*.f64 b (/.f64 b c))) c)
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 c a)))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 (/.f64 (/.f64 b c) a) #s(literal -1/2 binary64))) c)
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 3 binary64)))) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) #s(literal 1/4 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 (/.f64 (/.f64 b c) a) #s(literal -1/2 binary64)))) c)
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(*.f64 (fma.f64 #s(literal 1/64 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 5 binary64)))) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal -4 binary64))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 3 binary64)))) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) #s(literal 1/4 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 (/.f64 (/.f64 b c) a) #s(literal -1/2 binary64))))) c)
(* (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 (fma.f64 (*.f64 (*.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))) c)
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(*.f64 (fma.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 3 binary64))))) (sqrt.f64 #s(literal -4 binary64))) (fma.f64 (*.f64 (*.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64))))) 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 (fma.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 3 binary64))))) (sqrt.f64 #s(literal -4 binary64))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 7 binary64))) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 (*.f64 (*.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))))) c)
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 c a)))
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)) (/.f64 b c)))
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (sqrt.f64 (/.f64 a c)) #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/4 binary64)) (neg.f64 b)) (neg.f64 c))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)) (/.f64 (+.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/64 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)))) c) b) c)))
(* -4 (* a c))
(*.f64 #s(literal -4 binary64) (*.f64 c a))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(*.f64 (fma.f64 #s(literal -4 binary64) a (*.f64 b (/.f64 b c))) c)
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(*.f64 (fma.f64 #s(literal -4 binary64) a (*.f64 b (/.f64 b c))) c)
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(*.f64 (fma.f64 #s(literal -4 binary64) a (*.f64 b (/.f64 b c))) c)
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(*.f64 (neg.f64 c) (fma.f64 (/.f64 #s(literal 1/2 binary64) c) (/.f64 b a) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/8 binary64)) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) (neg.f64 c))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
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rewrite221.0ms (2.6%)

Memory
-29.9MiB live, 126.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01451
02351
17749
253448
3686048
0815344
Stop Event
iter limit
node limit
iter limit
Counts
5 → 437
Calls
Call 1
Inputs
(+.f64 (neg.f64 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 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a))
(neg.f64 b)
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))
Outputs
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eval86.0ms (1%)

Memory
46.2MiB live, 116.8MiB allocated
Compiler

Compiled 18 643 to 2 123 computations (88.6% saved)

prune57.0ms (0.7%)

Memory
-48.5MiB live, 43.2MiB allocated
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New57713590
Fresh000
Picked101
Done000
Total57813591
Accuracy
94.6%
Counts
591 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
19.3%
(/.f64 (fma.f64 b b (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (*.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) (*.f64 #s(literal -2 binary64) a)))
42.2%
(/.f64 (+.f64 (neg.f64 b) (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a))
50.5%
(/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))))) (*.f64 #s(literal 2 binary64) a))
30.6%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a))
29.1%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 #s(literal 2 binary64) a))
21.6%
(/.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))))
51.0%
(/.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) #s(literal -1/2 binary64)) a)
37.3%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 (/.f64 c b) #s(literal -2 binary64)) a)) (*.f64 #s(literal 2 binary64) a))
50.9%
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b))
35.7%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 (/.f64 c b) b) b (/.f64 (neg.f64 b) a)))
41.2%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b))
35.9%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a))
38.4%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (*.f64 c (fma.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) a (/.f64 #s(literal 1 binary64) b)))))
Compiler

Compiled 406 to 308 computations (24.1% saved)

simplify134.0ms (1.6%)

Memory
28.6MiB live, 135.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))
cost-diff0
(neg.f64 b)
cost-diff0
(/.f64 (+.f64 (neg.f64 b) (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a))
cost-diff128
(+.f64 (neg.f64 b) (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))))
cost-diff0
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))
cost-diff0
(-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)
cost-diff0
(/.f64 #s(literal 1/2 binary64) a)
cost-diff0
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b))
cost-diff0
(*.f64 (/.f64 c b) #s(literal -2 binary64))
cost-diff0
(*.f64 (*.f64 (/.f64 c b) #s(literal -2 binary64)) a)
cost-diff0
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 (/.f64 c b) #s(literal -2 binary64)) a))
cost-diff0
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 (/.f64 c b) #s(literal -2 binary64)) a)) (*.f64 #s(literal 2 binary64) a))
cost-diff0
(neg.f64 b)
cost-diff0
(/.f64 (neg.f64 b) a)
cost-diff0
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a))
cost-diff0
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))
cost-diff0
(-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))
cost-diff0
(*.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) #s(literal -1/2 binary64))
cost-diff0
(/.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) #s(literal -1/2 binary64)) a)
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
040320
061314
1108312
2212312
3424312
4851312
51879312
65315312
08159312
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) #s(literal -1/2 binary64)) a)
(*.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) #s(literal -1/2 binary64))
(-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))
b
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))
#s(literal -4 binary64)
(*.f64 c a)
c
a
(*.f64 b b)
#s(literal -1/2 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a))
(/.f64 (neg.f64 b) a)
(neg.f64 b)
b
a
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 (/.f64 c b) #s(literal -2 binary64)) a)) (*.f64 #s(literal 2 binary64) a))
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 (/.f64 c b) #s(literal -2 binary64)) a))
(*.f64 (*.f64 (/.f64 c b) #s(literal -2 binary64)) a)
(*.f64 (/.f64 c b) #s(literal -2 binary64))
(/.f64 c b)
c
b
#s(literal -2 binary64)
a
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b))
(/.f64 #s(literal 1/2 binary64) a)
#s(literal 1/2 binary64)
a
(-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))
#s(literal -4 binary64)
(*.f64 c a)
c
(*.f64 b b)
b
(/.f64 (+.f64 (neg.f64 b) (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a))
(+.f64 (neg.f64 b) (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))))
(neg.f64 b)
b
(/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))
#s(literal -4 binary64)
(*.f64 c a)
c
a
(*.f64 b b)
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
Outputs
(/.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) #s(literal -1/2 binary64)) a)
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b) a) #s(literal 1/2 binary64))
(*.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) #s(literal -1/2 binary64))
(*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b) #s(literal 1/2 binary64))
(-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))
(-.f64 b (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))))
b
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))
(sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))
(fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))
#s(literal -4 binary64)
(*.f64 c a)
(*.f64 a c)
c
a
(*.f64 b b)
#s(literal -1/2 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a))
(/.f64 (neg.f64 b) a)
(neg.f64 b)
b
a
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 (/.f64 c b) #s(literal -2 binary64)) a)) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 #s(literal -2 binary64) (/.f64 c b)) a)) (*.f64 #s(literal 2 binary64) a))
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 (/.f64 c b) #s(literal -2 binary64)) a))
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 #s(literal -2 binary64) (/.f64 c b)) a))
(*.f64 (*.f64 (/.f64 c b) #s(literal -2 binary64)) a)
(*.f64 (*.f64 #s(literal -2 binary64) (/.f64 c b)) a)
(*.f64 (/.f64 c b) #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) (/.f64 c b))
(/.f64 c b)
c
b
#s(literal -2 binary64)
a
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b))
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b) a) #s(literal 1/2 binary64))
(/.f64 #s(literal 1/2 binary64) a)
#s(literal 1/2 binary64)
a
(-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)
(-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b)
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))
(sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))
(fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))
#s(literal -4 binary64)
(*.f64 c a)
(*.f64 a c)
c
(*.f64 b b)
b
(/.f64 (+.f64 (neg.f64 b) (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) b) (*.f64 #s(literal 2 binary64) a))
(+.f64 (neg.f64 b) (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))))
(-.f64 (/.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) b)
(neg.f64 b)
b
(/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))
(/.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))))
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))
(fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))
#s(literal -4 binary64)
(*.f64 c a)
(*.f64 a c)
c
a
(*.f64 b b)
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))
(sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)

localize164.0ms (1.9%)

Memory
-14.9MiB live, 234.9MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy2.7585238578214173
(/.f64 (+.f64 (neg.f64 b) (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a))
accuracy18.847461314855305
(+.f64 (neg.f64 b) (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))))
accuracy23.151112989651004
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))
accuracy23.268300489651004
(/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))
accuracy0.39843750000000006
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))
accuracy2.678057746536056
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b))
accuracy18.847461314855305
(-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)
accuracy23.151112989651004
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))
accuracy0.015625
(*.f64 (/.f64 c b) #s(literal -2 binary64))
accuracy2.7585238578214173
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 (/.f64 c b) #s(literal -2 binary64)) a)) (*.f64 #s(literal 2 binary64) a))
accuracy4.221992777401464
(*.f64 (*.f64 (/.f64 c b) #s(literal -2 binary64)) a)
accuracy37.66181301208118
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 (/.f64 c b) #s(literal -2 binary64)) a))
accuracy0
(/.f64 (neg.f64 b) a)
accuracy0
(neg.f64 b)
accuracy41.045510620462224
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a))
accuracy0.39843750000000006
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))
accuracy2.54205435057861
(/.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) #s(literal -1/2 binary64)) a)
accuracy18.847461314855305
(-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))
accuracy23.151112989651004
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))
Samples
39.0ms157×0valid
29.0ms52×1valid
27.0ms41×2valid
5.0ms3valid
Compiler

Compiled 318 to 37 computations (88.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 61.0ms
ival-div: 17.0ms (28.1% of total)
ival-mult: 17.0ms (28.1% of total)
adjust: 7.0ms (11.6% of total)
ival-sub: 6.0ms (9.9% of total)
ival-add: 6.0ms (9.9% of total)
ival-sqrt: 6.0ms (9.9% of total)
exact: 1.0ms (1.7% of total)
ival-neg: 1.0ms (1.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series55.0ms (0.6%)

Memory
18.3MiB live, 54.6MiB allocated
Counts
18 → 576
Calls
Call 1
Inputs
#s(alt (/.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) #s(literal -1/2 binary64)) a) (patch (/.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) #s(literal -1/2 binary64)) a) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) #s(literal -1/2 binary64)) (patch (*.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) #s(literal -1/2 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (patch (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (patch (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)) #<representation binary64>) () ())
#s(alt (/.f64 (neg.f64 b) a) (patch (/.f64 (neg.f64 b) a) #<representation binary64>) () ())
#s(alt (neg.f64 b) (patch (neg.f64 b) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 (/.f64 c b) #s(literal -2 binary64)) a)) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 (/.f64 c b) #s(literal -2 binary64)) a)) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())
#s(alt #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 (/.f64 c b) #s(literal -2 binary64)) a)) (patch #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 (/.f64 c b) #s(literal -2 binary64)) a)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (/.f64 c b) #s(literal -2 binary64)) a) (patch (*.f64 (*.f64 (/.f64 c b) #s(literal -2 binary64)) a) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 c b) #s(literal -2 binary64)) (patch (*.f64 (/.f64 c b) #s(literal -2 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) 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 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) #<representation binary64>) () ())
#s(alt (+.f64 (neg.f64 b) (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))) (patch (+.f64 (neg.f64 b) (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 (neg.f64 b) (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (patch (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) (patch (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #<representation binary64>) () ())
Outputs
#s(alt (* -1 (/ c b)) (taylor 0 c) (#s(alt (/.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) #s(literal -1/2 binary64)) a) (patch (/.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) #s(literal -1/2 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) (taylor 0 c) (#s(alt (/.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) #s(literal -1/2 binary64)) a) (patch (/.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) #s(literal -1/2 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) (taylor 0 c) (#s(alt (/.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) #s(literal -1/2 binary64)) a) (patch (/.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) #s(literal -1/2 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))) (taylor 0 c) (#s(alt (/.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) #s(literal -1/2 binary64)) a) (patch (/.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) #s(literal -1/2 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* a c) b)) (taylor 0 c) (#s(alt (*.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) #s(literal -1/2 binary64)) (patch (*.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1 (/ a b)) (* -1 (/ (* (pow a 2) c) (pow b 3))))) (taylor 0 c) (#s(alt (*.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) #s(literal -1/2 binary64)) (patch (*.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1 (/ a b)) (* c (+ (* -2 (/ (* (pow a 3) c) (pow b 5))) (* -1 (/ (pow a 2) (pow b 3))))))) (taylor 0 c) (#s(alt (*.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) #s(literal -1/2 binary64)) (patch (*.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1 (/ a b)) (* c (+ (* -1 (/ (pow a 2) (pow b 3))) (* c (+ (* -2 (/ (pow a 3) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)))))))) (taylor 0 c) (#s(alt (*.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) #s(literal -1/2 binary64)) (patch (*.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ (* a c) b)) (taylor 0 c) (#s(alt (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (patch (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) (taylor 0 c) (#s(alt (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (patch (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) (taylor 0 c) (#s(alt (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (patch (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (- (* c (- (* 1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)) (* -4 (/ (pow a 3) (pow b 5))))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) (taylor 0 c) (#s(alt (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (patch (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt b (taylor 0 c) (#s(alt (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (patch (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (+ b (* -2 (/ (* a c) b))) (taylor 0 c) (#s(alt (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (patch (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) (taylor 0 c) (#s(alt (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (patch (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) #<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 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (patch (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ c b)) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ c b)) (taylor 0 c) (#s(alt (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 (/.f64 c b) #s(literal -2 binary64)) a)) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 (/.f64 c b) #s(literal -2 binary64)) a)) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) (taylor 0 c) (#s(alt (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 (/.f64 c b) #s(literal -2 binary64)) a)) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 (/.f64 c b) #s(literal -2 binary64)) a)) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) (taylor 0 c) (#s(alt (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 (/.f64 c b) #s(literal -2 binary64)) a)) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 (/.f64 c b) #s(literal -2 binary64)) a)) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))) (taylor 0 c) (#s(alt (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 (/.f64 c b) #s(literal -2 binary64)) a)) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 (/.f64 c b) #s(literal -2 binary64)) a)) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ (* a c) b)) (taylor 0 c) (#s(alt #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 (/.f64 c b) #s(literal -2 binary64)) a)) (patch #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 (/.f64 c b) #s(literal -2 binary64)) a)) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))) (taylor 0 c) (#s(alt #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 (/.f64 c b) #s(literal -2 binary64)) a)) (patch #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 (/.f64 c b) #s(literal -2 binary64)) a)) #<representation binary64>) () ())) ())
#s(alt (* 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 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 (/.f64 c b) #s(literal -2 binary64)) a)) (patch #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 (/.f64 c b) #s(literal -2 binary64)) a)) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)))))))) (taylor 0 c) (#s(alt #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 (/.f64 c b) #s(literal -2 binary64)) a)) (patch #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 (/.f64 c b) #s(literal -2 binary64)) a)) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ (* a c) b)) (taylor 0 c) (#s(alt (*.f64 (*.f64 (/.f64 c b) #s(literal -2 binary64)) a) (patch (*.f64 (*.f64 (/.f64 c b) #s(literal -2 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ (* a c) b)) (taylor 0 c) (#s(alt (*.f64 (*.f64 (/.f64 c b) #s(literal -2 binary64)) a) (patch (*.f64 (*.f64 (/.f64 c b) #s(literal -2 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ (* a c) b)) (taylor 0 c) (#s(alt (*.f64 (*.f64 (/.f64 c b) #s(literal -2 binary64)) a) (patch (*.f64 (*.f64 (/.f64 c b) #s(literal -2 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ (* a c) b)) (taylor 0 c) (#s(alt (*.f64 (*.f64 (/.f64 c b) #s(literal -2 binary64)) a) (patch (*.f64 (*.f64 (/.f64 c b) #s(literal -2 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ c b)) (taylor 0 c) (#s(alt (*.f64 (/.f64 c b) #s(literal -2 binary64)) (patch (*.f64 (/.f64 c b) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ c b)) (taylor 0 c) (#s(alt (*.f64 (/.f64 c b) #s(literal -2 binary64)) (patch (*.f64 (/.f64 c b) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ c b)) (taylor 0 c) (#s(alt (*.f64 (/.f64 c b) #s(literal -2 binary64)) (patch (*.f64 (/.f64 c b) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ c b)) (taylor 0 c) (#s(alt (*.f64 (/.f64 c b) #s(literal -2 binary64)) (patch (*.f64 (/.f64 c b) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ c b)) (taylor 0 c) (#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) (taylor 0 c) (#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) (taylor 0 c) (#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))) (taylor 0 c) (#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ (* a c) b)) (taylor 0 c) (#s(alt (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))) (taylor 0 c) (#s(alt (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) #<representation binary64>) () ())) ())
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#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 (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (patch (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) #<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 (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (patch (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (* -4 (* a c)) (taylor -inf a) (#s(alt (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) (patch (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.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 c a) (*.f64 b b)) (patch (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.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 c a) (*.f64 b b)) (patch (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.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 c a) (*.f64 b b)) (patch (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #<representation binary64>) () ())) ())
Calls

9 calls:

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

simplify195.0ms (2.3%)

Memory
-9.7MiB live, 177.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078912281
1263112068
0815811571
Stop Event
iter limit
node limit
Counts
576 → 570
Calls
Call 1
Inputs
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(* -1 (/ (* a c) b))
(* c (+ (* -1 (/ a b)) (* -1 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -1 (/ a b)) (* c (+ (* -2 (/ (* (pow a 3) c) (pow b 5))) (* -1 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -1 (/ a b)) (* c (+ (* -1 (/ (pow a 2) (pow b 3))) (* c (+ (* -2 (/ (pow a 3) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b))))))))
(* 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))))
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))))))))
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(* -2 (/ (* a c) b))
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b))))))))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ c b))
(* -2 (/ c b))
(* -2 (/ c b))
(* -2 (/ c b))
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(* -2 (/ (* a c) b))
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b))))))))
(* -2 (/ (* a c) b))
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b))))))))
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
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))))))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(* 1/2 (* (sqrt (* a c)) (sqrt -4)))
(* c (+ (* -1/2 (/ b c)) (* 1/2 (* (sqrt (/ a c)) (sqrt -4)))))
(* c (+ (* -1/2 (/ b c)) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ a c)) (sqrt -4))))))
(* c (+ (* -1/2 (/ b c)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ a c)) (sqrt -4)))))))
(* -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)))))
(* (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))))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(* (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 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ c b))
(* -2 (/ c b))
(* -2 (/ c b))
(* -2 (/ c b))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(* (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)))
(* (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)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(* (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))))))
(* -4 (* a c))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (/ b c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 b) (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 b)) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* 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 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ c b))
(* -2 (/ c b))
(* -2 (/ c b))
(* -2 (/ c b))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
(* -4 (* a c))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))
(* 1/2 (* (sqrt (* a c)) (sqrt -4)))
(+ (* -1/2 b) (* 1/2 (* (sqrt (* a c)) (sqrt -4))))
(+ (* 1/2 (* (sqrt (* a c)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1/2)))
(+ (* 1/2 (* (sqrt (* a c)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1/2)))
(* -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)))
(* (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)))))))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))
(* (sqrt (* a c)) (sqrt -4))
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ c b))
(* -2 (/ c b))
(* -2 (/ c b))
(* -2 (/ c b))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))
(* (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)))
(* (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)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))
(* (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)))))))))
(* -4 (* a c))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* -1 (/ c b))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -1 (/ (* a c) b))
(/ (+ (* -1 (* a c)) (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -1 (* a c)) (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -1 (* a c)) (+ (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
(* 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)
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 (/ c b))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 (/ c b))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -2 (/ (* a c) b))
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ c b))
(* -2 (/ c b))
(* -2 (/ c b))
(* -2 (/ c b))
(* -1 (/ c b))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -2 (/ (* a c) b))
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
(* -2 (/ (* a c) b))
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
(* -1 (/ c b))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
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)))))))
(pow b 2)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(* -1 b)
(* -1 (* b (+ 1 (* -1 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -1 (/ (* a c) (pow b 2))) (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -2 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -1 (/ (* a c) (pow b 2))) (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* 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))))))))
(* -1 b)
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(* -2 b)
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ c b))
(* -2 (/ c b))
(* -2 (/ c b))
(* -2 (/ c b))
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(* -2 b)
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -2 b)
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(* -1 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) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(* -1 (/ (* a c) b))
(* a (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))))
(* a (+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))
(* 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))))
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))))))))
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(* -2 (/ (* a c) b))
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(* -2 (/ (* a c) b))
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))
(* -2 (/ (* a c) b))
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
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))))))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(* 1/2 (* (sqrt (* a c)) (sqrt -4)))
(* a (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(* a (+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(* a (+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))))
(* -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)))))
(* (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))))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(* (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 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(* (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)))
(* (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)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(* (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))))))
(* -4 (* a c))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (+ (* -1 (/ (+ (* -1/2 b) (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* 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)))))
(* 2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (- (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (- (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (- (* -1 (/ (+ b (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -2 (* (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 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(* -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))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
Outputs
(* -1 (/ c b))
(/.f64 (neg.f64 c) b)
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(*.f64 (neg.f64 (fma.f64 a (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) b))) c)
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) a) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c)
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 20 binary64) c)) (*.f64 a b)) #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) a) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c)
(* -1 (/ (* a c) b))
(/.f64 (*.f64 (neg.f64 c) a) b)
(* c (+ (* -1 (/ a b)) (* -1 (/ (* (pow a 2) c) (pow b 3)))))
(*.f64 (neg.f64 (fma.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 a b))) c)
(* c (+ (* -1 (/ a b)) (* c (+ (* -2 (/ (* (pow a 3) c) (pow b 5))) (* -1 (/ (pow a 2) (pow b 3)))))))
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (pow.f64 a #s(literal 3 binary64))) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (neg.f64 a) a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 (neg.f64 a) b)) c)
(* c (+ (* -1 (/ a b)) (* c (+ (* -1 (/ (pow a 2) (pow b 3))) (* c (+ (* -2 (/ (pow a 3) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 20 binary64) c)) b) #s(literal -1/4 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (*.f64 (neg.f64 a) a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 (neg.f64 a) b)) c)
(* 2 (/ (* a c) b))
(*.f64 (*.f64 a (/.f64 c b)) #s(literal 2 binary64))
(* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b))))
(*.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 a b))) c)
(* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b))))
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 4 binary64) (pow.f64 a #s(literal 3 binary64))) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 (/.f64 a b) #s(literal 2 binary64))) c)
(* 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))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 20 binary64) c)) b) (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 (/.f64 a b) #s(literal 2 binary64))) c)
b
(+ b (* -2 (/ (* a c) b)))
(fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 c b) b)
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(fma.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 a b))) c b)
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (pow.f64 a #s(literal 3 binary64))) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) a) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c b)
(* -1 (/ c b))
(/.f64 (neg.f64 c) b)
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(*.f64 (neg.f64 (fma.f64 a (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) b))) c)
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) a) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c)
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 20 binary64) c)) (*.f64 a b)) #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) a) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c)
(* -1 (/ c b))
(/.f64 (neg.f64 c) b)
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(*.f64 (neg.f64 (fma.f64 a (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) b))) c)
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) a) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c)
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 20 binary64) c)) (*.f64 a b)) #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) a) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c)
(* -2 (/ (* a c) b))
(*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64))
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))
(*.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 a b))) c)
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (pow.f64 a #s(literal 3 binary64))) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) a) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c)
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 20 binary64) c)) b) (/.f64 (*.f64 #s(literal -4 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) a) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c)
(* -2 (/ (* a c) b))
(*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64))
(* -2 (/ (* a c) b))
(*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64))
(* -2 (/ (* a c) b))
(*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64))
(* -2 (/ (* a c) b))
(*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64))
(* -2 (/ c b))
(*.f64 #s(literal -2 binary64) (/.f64 c b))
(* -2 (/ c b))
(*.f64 #s(literal -2 binary64) (/.f64 c b))
(* -2 (/ c b))
(*.f64 #s(literal -2 binary64) (/.f64 c b))
(* -2 (/ c b))
(*.f64 #s(literal -2 binary64) (/.f64 c b))
(* -1 (/ c b))
(/.f64 (neg.f64 c) b)
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(*.f64 (neg.f64 (fma.f64 a (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) b))) c)
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) a) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c)
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 20 binary64) c)) (*.f64 a b)) #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) a) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c)
(* -2 (/ (* a c) b))
(*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64))
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))
(*.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 a b))) c)
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (pow.f64 a #s(literal 3 binary64))) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) a) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c)
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 20 binary64) c)) b) (/.f64 (*.f64 #s(literal -4 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) a) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c)
(* -2 (/ (* a c) b))
(*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64))
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))
(*.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 a b))) c)
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (pow.f64 a #s(literal 3 binary64))) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) a) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c)
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 20 binary64) c)) b) (/.f64 (*.f64 #s(literal -4 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) a) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c)
(* -1 (/ c b))
(/.f64 (neg.f64 c) b)
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(*.f64 (neg.f64 (fma.f64 a (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) b))) c)
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) a) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c)
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 20 binary64) c)) (*.f64 a b)) #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) a) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c)
b
(+ b (* -2 (/ (* a c) b)))
(fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 c b) b)
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(fma.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 a b))) c b)
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (pow.f64 a #s(literal 3 binary64))) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) a) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c b)
(pow b 2)
(*.f64 b b)
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 c a)))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 (/.f64 b (*.f64 a c)) #s(literal -1/2 binary64))) c)
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 3 binary64))))) #s(literal 1/4 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 (/.f64 b (*.f64 a c)) #s(literal -1/2 binary64)))) c)
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(*.f64 (fma.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 5 binary64)))) (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 3 binary64))))) #s(literal 1/4 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 (/.f64 b (*.f64 a c)) #s(literal -1/2 binary64))))) c)
(* 1/2 (* (sqrt (* a c)) (sqrt -4)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (*.f64 a c)))
(* c (+ (* -1/2 (/ b c)) (* 1/2 (* (sqrt (/ a c)) (sqrt -4)))))
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 a c)) (*.f64 (/.f64 b c) #s(literal -1/2 binary64))) c)
(* c (+ (* -1/2 (/ b c)) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ a c)) (sqrt -4))))))
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1/4 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 a c)) (*.f64 (/.f64 b c) #s(literal -1/2 binary64)))) c)
(* c (+ (* -1/2 (/ b c)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ a c)) (sqrt -4)))))))
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(*.f64 (neg.f64 a) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (/.f64 b a)))
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(*.f64 (neg.f64 a) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (*.f64 b b)) #s(literal -1/4 binary64) (neg.f64 b)) (neg.f64 a))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(*.f64 (neg.f64 a) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/64 binary64)))) (neg.f64 a)) b) (neg.f64 a))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
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(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
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(* -4 (* a c))
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(*.f64 (neg.f64 a) (fma.f64 #s(literal 4 binary64) c (/.f64 (*.f64 (neg.f64 b) b) a)))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
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rewrite207.0ms (2.4%)

Memory
24.1MiB live, 185.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040235
061200
1228200
21722200
08896200
Stop Event
iter limit
node limit
iter limit
Counts
18 → 1 401
Calls
Call 1
Inputs
(/.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) #s(literal -1/2 binary64)) a)
(*.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) #s(literal -1/2 binary64))
(-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a))
(/.f64 (neg.f64 b) a)
(neg.f64 b)
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 (/.f64 c b) #s(literal -2 binary64)) a)) (*.f64 #s(literal 2 binary64) a))
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 (/.f64 c b) #s(literal -2 binary64)) a))
(*.f64 (*.f64 (/.f64 c b) #s(literal -2 binary64)) a)
(*.f64 (/.f64 c b) #s(literal -2 binary64))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b))
(/.f64 #s(literal 1/2 binary64) a)
(-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)
(+.f64 (neg.f64 b) (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))))
(/.f64 (+.f64 (neg.f64 b) (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))
Outputs
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eval544.0ms (6.4%)

Memory
3.3MiB live, 631.5MiB allocated
Compiler

Compiled 104 697 to 7 328 computations (93% saved)

prune142.0ms (1.7%)

Memory
-18.9MiB live, 184.5MiB allocated
Pruning

18 alts after pruning (16 fresh and 2 done)

PrunedKeptTotal
New2 844152 859
Fresh718
Picked325
Done000
Total2 854182 872
Accuracy
94.6%
Counts
2 872 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
26.3%
(/.f64 (+.f64 (neg.f64 b) (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))) (*.f64 #s(literal 2 binary64) a))
21.6%
(/.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))))
51.0%
(/.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) #s(literal -1/2 binary64)) a)
29.5%
(/.f64 (*.f64 (-.f64 b (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) #s(literal -1/2 binary64)) a)
36.4%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b c) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) a))))) (*.f64 #s(literal 2 binary64) a))
37.1%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (/.f64 #s(literal -2 binary64) (/.f64 b c)) a)) (*.f64 #s(literal 2 binary64) a))
37.2%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 c (/.f64 #s(literal -2 binary64) b)) a)) (*.f64 #s(literal 2 binary64) a))
34.3%
(/.f64 #s(approx (* (- b (sqrt (+ (* -4 (* c a)) (* b b)))) -1/2) (/.f64 (*.f64 (neg.f64 c) a) b)) a)
29.4%
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) b))
35.8%
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b)) b))
37.2%
(*.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64))))
41.2%
#s(approx (/ (+ (neg b) (/ (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (/.f64 (neg.f64 c) b))
35.4%
#s(approx (/ (+ (neg b) (/ (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (*.f64 (neg.f64 b) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b)))))
29.0%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (+.f64 #s(literal 0 binary64) b)) a))
1.4%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 b b) (*.f64 #s(literal 0 binary64) (neg.f64 b))))) a))
26.3%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) a) (*.f64 a b)) (*.f64 a a)))
35.9%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a))
35.8%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a) b)))
Compiler

Compiled 448 to 380 computations (15.2% saved)

simplify186.0ms (2.2%)

Memory
20.3MiB live, 178.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))
cost-diff0
(neg.f64 b)
cost-diff0
(/.f64 (+.f64 (neg.f64 b) (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))) (*.f64 #s(literal 2 binary64) a))
cost-diff128
(+.f64 (neg.f64 b) (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c))))))
cost-diff0
(sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c))))
cost-diff0
(-.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) b)
cost-diff0
(/.f64 #s(literal 1/2 binary64) a)
cost-diff0
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) b))
cost-diff0
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (+.f64 #s(literal 0 binary64) b)) a))
cost-diff64
(-.f64 #s(literal 0 binary64) (*.f64 b b))
cost-diff192
(+.f64 #s(literal 0 binary64) b)
cost-diff1024
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (+.f64 #s(literal 0 binary64) b))
cost-diff0
#s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b))
cost-diff0
(-.f64 #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b)) b)
cost-diff0
(/.f64 #s(literal 1/2 binary64) a)
cost-diff0
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b)) b))
cost-diff0
(neg.f64 c)
cost-diff0
(/.f64 (neg.f64 c) b)
cost-diff0
#s(approx (/ (+ (neg b) (/ (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (/.f64 (neg.f64 c) b))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
050379
075362
1133358
2280350
3666350
41510350
54348350
67369350
08318350
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (/ (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (/.f64 (neg.f64 c) b))
(/.f64 (neg.f64 c) b)
(neg.f64 c)
c
b
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b)) b))
(/.f64 #s(literal 1/2 binary64) a)
#s(literal 1/2 binary64)
a
(-.f64 #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b)) b)
#s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b))
(neg.f64 b)
b
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (+.f64 #s(literal 0 binary64) b)) a))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (+.f64 #s(literal 0 binary64) b)) a)
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (+.f64 #s(literal 0 binary64) b))
(-.f64 #s(literal 0 binary64) (*.f64 b b))
#s(literal 0 binary64)
(*.f64 b b)
b
(+.f64 #s(literal 0 binary64) b)
a
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) b))
(/.f64 #s(literal 1/2 binary64) a)
#s(literal 1/2 binary64)
a
(-.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) b)
(sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c))))
#s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c)))
(*.f64 #s(literal -4 binary64) (*.f64 a c))
#s(literal -4 binary64)
(*.f64 a c)
c
b
(/.f64 (+.f64 (neg.f64 b) (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))) (*.f64 #s(literal 2 binary64) a))
(+.f64 (neg.f64 b) (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c))))))
(neg.f64 b)
b
(/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))
#s(literal -4 binary64)
(*.f64 c a)
c
a
(*.f64 b b)
(sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c))))
#s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c)))
(*.f64 #s(literal -4 binary64) (*.f64 a c))
(*.f64 a c)
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
Outputs
#s(approx (/ (+ (neg b) (/ (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (/.f64 (neg.f64 c) b))
(/.f64 (neg.f64 c) b)
(neg.f64 c)
c
b
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b)) b))
(*.f64 (-.f64 #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b)) b) (/.f64 #s(literal 1/2 binary64) a))
(/.f64 #s(literal 1/2 binary64) a)
#s(literal 1/2 binary64)
a
(-.f64 #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b)) b)
#s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b))
(neg.f64 b)
b
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (+.f64 #s(literal 0 binary64) b)) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (+.f64 #s(literal 0 binary64) b)) a)
(/.f64 (neg.f64 b) a)
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (+.f64 #s(literal 0 binary64) b))
(neg.f64 b)
(-.f64 #s(literal 0 binary64) (*.f64 b b))
(*.f64 (neg.f64 b) b)
#s(literal 0 binary64)
(*.f64 b b)
b
(+.f64 #s(literal 0 binary64) b)
b
a
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) b))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 a c) #s(literal -4 binary64))))))
(/.f64 #s(literal 1/2 binary64) a)
#s(literal 1/2 binary64)
a
(-.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) b)
(-.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) b)
(sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c))))
(sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 a c) #s(literal -4 binary64))))
#s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c)))
#s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 a c) #s(literal -4 binary64)))
(*.f64 #s(literal -4 binary64) (*.f64 a c))
(*.f64 (*.f64 a c) #s(literal -4 binary64))
#s(literal -4 binary64)
(*.f64 a c)
c
b
(/.f64 (+.f64 (neg.f64 b) (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (-.f64 b (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) (*.f64 #s(literal -2 binary64) a))
(+.f64 (neg.f64 b) (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c))))))
(-.f64 (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 a c) #s(literal -4 binary64))))) b)
(neg.f64 b)
b
(/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))
(/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))
#s(literal -4 binary64)
(*.f64 c a)
(*.f64 a c)
c
a
(*.f64 b b)
(sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c))))
(sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 a c) #s(literal -4 binary64))))
#s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c)))
#s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 a c) #s(literal -4 binary64)))
(*.f64 #s(literal -4 binary64) (*.f64 a c))
(*.f64 (*.f64 a c) #s(literal -4 binary64))
(*.f64 a c)
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)

localize121.0ms (1.4%)

Memory
20.8MiB live, 95.3MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy18.847461314855305
(+.f64 (neg.f64 b) (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c))))))
accuracy23.151112989651004
(sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c))))
accuracy23.268300489651004
(/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))
accuracy43.99043010065546
#s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c)))
accuracy2.678057746536056
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) b))
accuracy18.847461314855305
(-.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) b)
accuracy23.151112989651004
(sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c))))
accuracy43.99043010065546
#s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c)))
accuracy0
(+.f64 #s(literal 0 binary64) b)
accuracy0
(*.f64 b b)
accuracy26.781656225965115
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (+.f64 #s(literal 0 binary64) b))
accuracy41.045510620462224
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (+.f64 #s(literal 0 binary64) b)) a))
accuracy0
(neg.f64 b)
accuracy2.678057746536056
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b)) b))
accuracy18.847461314855305
(-.f64 #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b)) b)
accuracy41.55239424833971
#s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b))
accuracy0
(/.f64 (neg.f64 c) b)
accuracy0
(neg.f64 c)
accuracy37.662290608577635
#s(approx (/ (+ (neg b) (/ (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (/.f64 (neg.f64 c) b))
Samples
38.0ms157×0valid
23.0ms41×2valid
21.0ms52×1valid
11.0ms3valid
Compiler

Compiled 319 to 36 computations (88.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 65.0ms
ival-div: 17.0ms (26.1% of total)
ival-add: 14.0ms (21.5% of total)
ival-mult: 13.0ms (19.9% of total)
adjust: 7.0ms (10.7% of total)
ival-sqrt: 6.0ms (9.2% of total)
ival-sub: 5.0ms (7.7% of total)
ival-neg: 2.0ms (3.1% of total)
exact: 1.0ms (1.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series73.0ms (0.9%)

Memory
-0.8MiB live, 37.5MiB allocated
Counts
20 → 540
Calls
Call 1
Inputs
#s(alt #s(approx (/ (+ (neg b) (/ (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (/.f64 (neg.f64 c) b)) (patch #s(approx (/ (+ (neg b) (/ (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (/.f64 (neg.f64 c) b)) #<representation binary64>) () ())
#s(alt (/.f64 (neg.f64 c) b) (patch (/.f64 (neg.f64 c) b) #<representation binary64>) () ())
#s(alt (neg.f64 c) (patch (neg.f64 c) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b)) b)) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b)) 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 #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b)) b) (patch (-.f64 #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b)) b) #<representation binary64>) () ())
#s(alt #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b)) (patch #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (+.f64 #s(literal 0 binary64) b)) (patch (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (+.f64 #s(literal 0 binary64) b)) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 0 binary64) b) (patch (+.f64 #s(literal 0 binary64) b) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 0 binary64) (*.f64 b b)) (patch (-.f64 #s(literal 0 binary64) (*.f64 b b)) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (+.f64 #s(literal 0 binary64) b)) a)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (+.f64 #s(literal 0 binary64) b)) a)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) b)) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) b)) #<representation binary64>) () ())
#s(alt (-.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) b) (patch (-.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) b) #<representation binary64>) () ())
#s(alt (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) (patch (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) #<representation binary64>) () ())
#s(alt (+.f64 (neg.f64 b) (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))) (patch (+.f64 (neg.f64 b) (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 (neg.f64 b) (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())
#s(alt (neg.f64 b) (patch (neg.f64 b) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) (patch (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) #<representation binary64>) () ())
#s(alt (*.f64 b b) (patch (*.f64 b b) #<representation binary64>) () ())
#s(alt #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c))) (patch #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c))) #<representation binary64>) () ())
Outputs
#s(alt (* -1 (/ c b)) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (/ (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (/.f64 (neg.f64 c) b)) (patch #s(approx (/ (+ (neg b) (/ (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (/.f64 (neg.f64 c) b)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (/ (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (/.f64 (neg.f64 c) b)) (patch #s(approx (/ (+ (neg b) (/ (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (/.f64 (neg.f64 c) b)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (/ (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (/.f64 (neg.f64 c) b)) (patch #s(approx (/ (+ (neg b) (/ (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (/.f64 (neg.f64 c) b)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (/ (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (/.f64 (neg.f64 c) b)) (patch #s(approx (/ (+ (neg b) (/ (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (/.f64 (neg.f64 c) b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ c b)) (taylor 0 c) (#s(alt (/.f64 (neg.f64 c) b) (patch (/.f64 (neg.f64 c) b) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ c b)) (taylor 0 c) (#s(alt (/.f64 (neg.f64 c) b) (patch (/.f64 (neg.f64 c) b) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ c b)) (taylor 0 c) (#s(alt (/.f64 (neg.f64 c) b) (patch (/.f64 (neg.f64 c) b) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ c b)) (taylor 0 c) (#s(alt (/.f64 (neg.f64 c) b) (patch (/.f64 (neg.f64 c) b) #<representation binary64>) () ())) ())
#s(alt (* -1 c) (taylor 0 c) (#s(alt (neg.f64 c) (patch (neg.f64 c) #<representation binary64>) () ())) ())
#s(alt (* -1 c) (taylor 0 c) (#s(alt (neg.f64 c) (patch (neg.f64 c) #<representation binary64>) () ())) ())
#s(alt (* -1 c) (taylor 0 c) (#s(alt (neg.f64 c) (patch (neg.f64 c) #<representation binary64>) () ())) ())
#s(alt (* -1 c) (taylor 0 c) (#s(alt (neg.f64 c) (patch (neg.f64 c) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ c b)) (taylor 0 c) (#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b)) b)) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b)) b)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) (taylor 0 c) (#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b)) b)) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b)) b)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) (taylor 0 c) (#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b)) b)) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b)) b)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))) (taylor 0 c) (#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b)) b)) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b)) b)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) (taylor -inf a) (#s(alt #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c))) (patch #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c))) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
40.0ms
b
@inf
((/ (+ (neg b) (/ (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (/ (neg c) b) (neg c) (* (/ 1/2 a) (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (/ 1/2 a) (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (sqrt (+ (* -4 (* c a)) (* b b))) (/ (- 0 (* b b)) (+ 0 b)) (+ 0 b) (- 0 (* b b)) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (* (/ 1/2 a) (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (sqrt (+ (* -4 (* c a)) (* b b))) (+ (neg b) (/ (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))))) (/ (+ (neg b) (/ (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (neg b) (/ (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b)))) (* b b) (+ (* -4 (* c a)) (* b b)))
1.0ms
b
@0
((/ (+ (neg b) (/ (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (/ (neg c) b) (neg c) (* (/ 1/2 a) (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (/ 1/2 a) (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (sqrt (+ (* -4 (* c a)) (* b b))) (/ (- 0 (* b b)) (+ 0 b)) (+ 0 b) (- 0 (* b b)) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (* (/ 1/2 a) (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (sqrt (+ (* -4 (* c a)) (* b b))) (+ (neg b) (/ (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))))) (/ (+ (neg b) (/ (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (neg b) (/ (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b)))) (* b b) (+ (* -4 (* c a)) (* b b)))
1.0ms
c
@inf
((/ (+ (neg b) (/ (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (/ (neg c) b) (neg c) (* (/ 1/2 a) (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (/ 1/2 a) (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (sqrt (+ (* -4 (* c a)) (* b b))) (/ (- 0 (* b b)) (+ 0 b)) (+ 0 b) (- 0 (* b b)) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (* (/ 1/2 a) (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (sqrt (+ (* -4 (* c a)) (* b b))) (+ (neg b) (/ (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))))) (/ (+ (neg b) (/ (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (neg b) (/ (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b)))) (* b b) (+ (* -4 (* c a)) (* b b)))
1.0ms
b
@-inf
((/ (+ (neg b) (/ (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (/ (neg c) b) (neg c) (* (/ 1/2 a) (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (/ 1/2 a) (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (sqrt (+ (* -4 (* c a)) (* b b))) (/ (- 0 (* b b)) (+ 0 b)) (+ 0 b) (- 0 (* b b)) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (* (/ 1/2 a) (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (sqrt (+ (* -4 (* c a)) (* b b))) (+ (neg b) (/ (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))))) (/ (+ (neg b) (/ (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (neg b) (/ (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b)))) (* b b) (+ (* -4 (* c a)) (* b b)))
1.0ms
c
@-inf
((/ (+ (neg b) (/ (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (/ (neg c) b) (neg c) (* (/ 1/2 a) (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (/ 1/2 a) (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (sqrt (+ (* -4 (* c a)) (* b b))) (/ (- 0 (* b b)) (+ 0 b)) (+ 0 b) (- 0 (* b b)) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (* (/ 1/2 a) (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (sqrt (+ (* -4 (* c a)) (* b b))) (+ (neg b) (/ (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))))) (/ (+ (neg b) (/ (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (neg b) (/ (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b)))) (* b b) (+ (* -4 (* c a)) (* b b)))

simplify394.0ms (4.6%)

Memory
-53.8MiB live, 208.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054511237
1174811062
2614010962
0818010475
Stop Event
iter limit
node limit
Counts
540 → 519
Calls
Call 1
Inputs
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 c)
(* -1 c)
(* -1 c)
(* -1 c)
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(* -2 (/ (* a c) b))
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b))))))))
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))))))))
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(* -2 (/ (* a c) b))
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b))))))))
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))))))))
(* -2 (/ (* a c) b))
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b))))))))
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
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))))))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 c)
(* -1 c)
(* -1 c)
(* -1 c)
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(* (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)))
(* (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))))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(* (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)))
(* (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))))))
(* (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)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(* (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))))))
(* -4 (* a c))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 c)
(* -1 c)
(* -1 c)
(* -1 c)
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
(* -4 (* a c))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))
(* (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)))
(* (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)))))))))
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
b
b
b
b
(* -1 (pow b 2))
(* -1 (pow b 2))
(* -1 (pow b 2))
(* -1 (pow b 2))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))
(* (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)))
(* (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)))))))))
(* (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)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))
(* -1 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)))))))))
(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))
(* -1 (/ c b))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -2 (/ (* a c) b))
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
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 b)
(* -1 b)
b
b
b
b
(* -1 (pow b 2))
(* -1 (pow b 2))
(* -1 (pow b 2))
(* -1 (pow b 2))
(* -1 (/ c b))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -1 (/ c b))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -2 (/ (* a c) b))
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
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)))))))
(* -2 (/ (* a c) b))
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
(* -1 (/ c b))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
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)))))))
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(* -2 b)
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -1 b)
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
b
b
b
b
(* -1 (pow b 2))
(* -1 (pow b 2))
(* -1 (pow b 2))
(* -1 (pow b 2))
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(* -2 b)
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -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))))))))
(* -2 b)
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -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) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(* -2 (/ (* a c) b))
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))
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))))))))
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(* -2 (/ (* a c) b))
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))
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))))))))
(* -2 (/ (* a c) b))
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
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))))))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(* (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)))
(* (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))))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(* (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)))
(* (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))))))
(* (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)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(* (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))))))
(* -4 (* a c))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -2 (* (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 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -2 (* (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))))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(* -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))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
Outputs
(* -1 (/ c b))
(/.f64 (neg.f64 c) b)
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(neg.f64 (*.f64 c (fma.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) a (/.f64 #s(literal 1 binary64) b))))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) a) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c)
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) c) a) (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 20 binary64) b)) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) a) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c)
(* -1 (/ c b))
(/.f64 (neg.f64 c) b)
(* -1 (/ c b))
(/.f64 (neg.f64 c) b)
(* -1 (/ c b))
(/.f64 (neg.f64 c) b)
(* -1 (/ c b))
(/.f64 (neg.f64 c) b)
(* -1 c)
(neg.f64 c)
(* -1 c)
(neg.f64 c)
(* -1 c)
(neg.f64 c)
(* -1 c)
(neg.f64 c)
(* -1 (/ c b))
(/.f64 (neg.f64 c) b)
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(neg.f64 (*.f64 c (fma.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) a (/.f64 #s(literal 1 binary64) b))))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) a) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c)
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) c) a) (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 20 binary64) b)) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) a) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c)
(* -2 (/ (* a c) b))
(*.f64 (*.f64 #s(literal -2 binary64) (/.f64 c b)) a)
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))
(*.f64 (*.f64 (fma.f64 c (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) (/.f64 a b)) #s(literal -2 binary64)) c)
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))
(*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) (*.f64 (/.f64 c (pow.f64 b #s(literal 5 binary64))) (pow.f64 a #s(literal 3 binary64))) (*.f64 (fma.f64 c (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) (/.f64 a b)) #s(literal -2 binary64))) c)
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) c) (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 20 binary64) b)) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -4 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) #s(literal -2 binary64))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c)
b
(+ b (* -2 (/ (* a c) b)))
(fma.f64 (*.f64 #s(literal -2 binary64) c) (/.f64 a b) b)
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(fma.f64 (*.f64 (fma.f64 c (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) (/.f64 a b)) #s(literal -2 binary64)) c b)
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) (*.f64 (/.f64 c (pow.f64 b #s(literal 5 binary64))) (pow.f64 a #s(literal 3 binary64))) (*.f64 (fma.f64 c (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) (/.f64 a b)) #s(literal -2 binary64))) c b)
(* -1 (/ c b))
(/.f64 (neg.f64 c) b)
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(neg.f64 (*.f64 c (fma.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) a (/.f64 #s(literal 1 binary64) b))))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) a) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c)
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
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(* -2 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 a c)))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(*.f64 (neg.f64 a) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(*.f64 (neg.f64 a) (fma.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
(*.f64 (neg.f64 a) (fma.f64 (*.f64 #s(literal 1/512 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 7 binary64)))) (fma.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)))))))
(* -4 (* a c))
(*.f64 #s(literal -4 binary64) (*.f64 a c))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(*.f64 (fma.f64 #s(literal -4 binary64) c (*.f64 b (/.f64 b a))) a)
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(*.f64 (fma.f64 #s(literal -4 binary64) c (*.f64 b (/.f64 b a))) a)
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(*.f64 (fma.f64 #s(literal -4 binary64) c (*.f64 b (/.f64 b a))) a)

rewrite220.0ms (2.6%)

Memory
29.1MiB live, 151.3MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
050283
075269
1292261
22451243
09628243
Stop Event
iter limit
node limit
iter limit
Counts
20 → 816
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (/ (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (/.f64 (neg.f64 c) b))
(/.f64 (neg.f64 c) b)
(neg.f64 c)
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b)) b))
(/.f64 #s(literal 1/2 binary64) a)
(-.f64 #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b)) b)
#s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (+.f64 #s(literal 0 binary64) b))
(+.f64 #s(literal 0 binary64) b)
(-.f64 #s(literal 0 binary64) (*.f64 b b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (+.f64 #s(literal 0 binary64) b)) a))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) b))
(-.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) b)
(sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c))))
(+.f64 (neg.f64 b) (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c))))))
(/.f64 (+.f64 (neg.f64 b) (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))) (*.f64 #s(literal 2 binary64) a))
(neg.f64 b)
(/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))
(*.f64 b b)
#s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c)))
Outputs
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#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>

eval265.0ms (3.1%)

Memory
15.8MiB live, 320.4MiB allocated
Compiler

Compiled 39 410 to 4 073 computations (89.7% saved)

prune63.0ms (0.7%)

Memory
-16.1MiB live, 185.5MiB allocated
Pruning

29 alts after pruning (24 fresh and 5 done)

PrunedKeptTotal
New1 592191 611
Fresh6511
Picked235
Done022
Total1 600291 629
Accuracy
94.8%
Counts
1 629 → 29
Alt Table
Click to see full alt table
StatusAccuracyProgram
2.6%
(fma.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) b) (*.f64 (/.f64 #s(literal 1/2 binary64) a) b))
26.3%
(/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 a c) #s(literal -4 binary64))))) b) (*.f64 #s(literal 2 binary64) a))
21.9%
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 a c) #s(literal -4 binary64))) (*.f64 b b))) (-.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) b))
29.5%
(/.f64 (*.f64 (-.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) b) #s(literal 1/2 binary64)) a)
19.6%
(/.f64 (*.f64 (-.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 a c) #s(literal -4 binary64))) (*.f64 b b)) #s(literal 1/2 binary64)) (*.f64 (-.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) b) a))
51.0%
(/.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) #s(literal -1/2 binary64)) a)
37.2%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 c (/.f64 #s(literal -2 binary64) b)) a)) (*.f64 #s(literal 2 binary64) a))
34.3%
(/.f64 #s(approx (* (- b (sqrt (+ (* -4 (* c a)) (* b b)))) -1/2) (/.f64 (*.f64 (neg.f64 c) a) b)) a)
29.4%
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) b))
35.8%
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b)) b))
2.6%
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (+.f64 #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) b) b))
16.1%
(*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) a)) #s(literal -1 binary64))) (-.f64 #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b)) b))
41.2%
#s(approx (/ (+ (neg b) (/ (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (/.f64 (neg.f64 c) b))
10.2%
#s(approx (/ (+ (neg b) (/ (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (/.f64 c b))
40.9%
#s(approx (/ (+ (neg b) (/ (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 b c)))
10.2%
#s(approx (/ (+ (neg b) (/ (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (*.f64 (/.f64 c (*.f64 b b)) b))
35.4%
#s(approx (/ (+ (neg b) (/ (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (*.f64 (neg.f64 b) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b)))))
41.0%
#s(approx (/ (+ (neg b) (/ (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (*.f64 a (/.f64 c b)) (/.f64 c b) c) b)))
1.8%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (/.f64 (pow.f64 (exp.f64 (log.f64 b)) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) b)) a))
1.4%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (*.f64 b b)) a))
28.9%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (pow.f64 b #s(literal -1 binary64)) #s(literal -2 binary64))) (+.f64 #s(literal 0 binary64) b)) a))
2.4%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (/.f64 (*.f64 b b) b) a))
1.8%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (/.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) (+.f64 #s(literal 0 binary64) b)) a))
26.3%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) a) (*.f64 a b)) (*.f64 a a)))
35.9%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a))
2.0%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (exp.f64 (-.f64 (*.f64 (log.f64 b) #s(literal 3 binary64)) (*.f64 (log.f64 b) #s(literal 2 binary64)))) a))
2.0%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 1 binary64))) a))
2.6%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 b a))
35.8%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a) b)))
Compiler

Compiled 609 to 529 computations (13.1% saved)

simplify129.0ms (1.5%)

Memory
21.2MiB live, 177.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(log.f64 (*.f64 #s(literal 2 binary64) a))
cost-diff0
(*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) a)) #s(literal -1 binary64))) (-.f64 #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b)) b))
cost-diff192
(*.f64 (log.f64 (*.f64 #s(literal 2 binary64) a)) #s(literal -1 binary64))
cost-diff12544
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) a)) #s(literal -1 binary64)))
cost-diff0
(sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 a c) #s(literal -4 binary64))))
cost-diff0
(-.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) b)
cost-diff0
(*.f64 (-.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) b) #s(literal 1/2 binary64))
cost-diff0
(/.f64 (*.f64 (-.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) b) #s(literal 1/2 binary64)) a)
cost-diff0
(*.f64 b b)
cost-diff0
(/.f64 (/.f64 (*.f64 b b) b) a)
cost-diff0
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (/.f64 (*.f64 b b) b) a))
cost-diff1024
(/.f64 (*.f64 b b) b)
cost-diff0
(/.f64 b a)
cost-diff0
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 b a))
cost-diff0
(fma.f64 (*.f64 a (/.f64 c b)) (/.f64 c b) c)
cost-diff0
(/.f64 (fma.f64 (*.f64 a (/.f64 c b)) (/.f64 c b) c) b)
cost-diff0
(neg.f64 (/.f64 (fma.f64 (*.f64 a (/.f64 c b)) (/.f64 c b) c) b))
cost-diff0
#s(approx (/ (+ (neg b) (/ (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (*.f64 a (/.f64 c b)) (/.f64 c b) c) b)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051336
074320
1128316
2231312
3498312
41336312
54118312
67608312
08006300
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (/ (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (*.f64 a (/.f64 c b)) (/.f64 c b) c) b)))
(neg.f64 (/.f64 (fma.f64 (*.f64 a (/.f64 c b)) (/.f64 c b) c) b))
(/.f64 (fma.f64 (*.f64 a (/.f64 c b)) (/.f64 c b) c) b)
(fma.f64 (*.f64 a (/.f64 c b)) (/.f64 c b) c)
(*.f64 a (/.f64 c b))
a
(/.f64 c b)
c
b
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 b a))
(/.f64 b a)
b
a
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (/.f64 (*.f64 b b) b) a))
(/.f64 (/.f64 (*.f64 b b) b) a)
(/.f64 (*.f64 b b) b)
(*.f64 b b)
b
a
(/.f64 (*.f64 (-.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) b) #s(literal 1/2 binary64)) a)
(*.f64 (-.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) b) #s(literal 1/2 binary64))
(-.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) b)
(sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 a c) #s(literal -4 binary64))))
#s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 a c) #s(literal -4 binary64)))
(*.f64 (*.f64 a c) #s(literal -4 binary64))
(*.f64 a c)
a
c
#s(literal -4 binary64)
b
#s(literal 1/2 binary64)
(*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) a)) #s(literal -1 binary64))) (-.f64 #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b)) b))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) a)) #s(literal -1 binary64)))
(*.f64 (log.f64 (*.f64 #s(literal 2 binary64) a)) #s(literal -1 binary64))
(log.f64 (*.f64 #s(literal 2 binary64) a))
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
a
#s(literal -1 binary64)
(-.f64 #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b)) b)
#s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b))
(neg.f64 b)
b
Outputs
#s(approx (/ (+ (neg b) (/ (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (*.f64 a (/.f64 c b)) (/.f64 c b) c) b)))
#s(approx (/ (+ (neg b) (/ (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (*.f64 (fma.f64 (/.f64 (/.f64 a b) b) c #s(literal 1 binary64)) (/.f64 (neg.f64 c) b)))
(neg.f64 (/.f64 (fma.f64 (*.f64 a (/.f64 c b)) (/.f64 c b) c) b))
(*.f64 (fma.f64 (/.f64 (/.f64 a b) b) c #s(literal 1 binary64)) (/.f64 (neg.f64 c) b))
(/.f64 (fma.f64 (*.f64 a (/.f64 c b)) (/.f64 c b) c) b)
(/.f64 (fma.f64 (*.f64 (/.f64 c b) a) (/.f64 c b) c) b)
(fma.f64 (*.f64 a (/.f64 c b)) (/.f64 c b) c)
(fma.f64 (*.f64 (/.f64 c b) a) (/.f64 c b) c)
(*.f64 a (/.f64 c b))
(*.f64 (/.f64 c b) a)
a
(/.f64 c b)
c
b
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 b a))
(/.f64 b a)
b
a
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (/.f64 (*.f64 b b) b) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 b a))
(/.f64 (/.f64 (*.f64 b b) b) a)
(/.f64 b a)
(/.f64 (*.f64 b b) b)
b
(*.f64 b b)
b
a
(/.f64 (*.f64 (-.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) b) #s(literal 1/2 binary64)) a)
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 c a) #s(literal -4 binary64))))))
(*.f64 (-.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) b) #s(literal 1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (-.f64 b (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 c a) #s(literal -4 binary64))))))
(-.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) b)
(-.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) b)
(sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 a c) #s(literal -4 binary64))))
(sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 c a) #s(literal -4 binary64))))
#s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 a c) #s(literal -4 binary64)))
#s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))
(*.f64 (*.f64 a c) #s(literal -4 binary64))
(*.f64 (*.f64 c a) #s(literal -4 binary64))
(*.f64 a c)
(*.f64 c a)
a
c
#s(literal -4 binary64)
b
#s(literal 1/2 binary64)
(*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) a)) #s(literal -1 binary64))) (-.f64 #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b)) b))
(*.f64 (-.f64 #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b)) b) (/.f64 #s(literal 1/2 binary64) a))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) a)) #s(literal -1 binary64)))
(/.f64 #s(literal 1/2 binary64) a)
(*.f64 (log.f64 (*.f64 #s(literal 2 binary64) a)) #s(literal -1 binary64))
(neg.f64 (log.f64 (*.f64 #s(literal 2 binary64) a)))
(log.f64 (*.f64 #s(literal 2 binary64) a))
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
a
#s(literal -1 binary64)
(-.f64 #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b)) b)
#s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b))
(neg.f64 b)
b

localize127.0ms (1.5%)

Memory
-24.0MiB live, 130.1MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.8762721913751397
(*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) a)) #s(literal -1 binary64))) (-.f64 #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b)) b))
accuracy2.438459298752833
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) a)) #s(literal -1 binary64)))
accuracy7.619026632377411
(-.f64 #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b)) b)
accuracy18.366813750219222
#s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b))
accuracy0.8196074705718498
(/.f64 (*.f64 (-.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) b) #s(literal 1/2 binary64)) a)
accuracy7.619026632377411
(-.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) b)
accuracy10.519167228852956
(sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 a c) #s(literal -4 binary64))))
accuracy18.97797159347287
#s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 a c) #s(literal -4 binary64)))
accuracy0
(/.f64 (/.f64 (*.f64 b b) b) a)
accuracy0
(*.f64 b b)
accuracy12.387134458816588
(/.f64 (*.f64 b b) b)
accuracy28.207281684217502
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (/.f64 (*.f64 b b) b) a))
accuracy0
(/.f64 b a)
accuracy28.207281684217502
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 b a))
accuracy0.0078125
(/.f64 (fma.f64 (*.f64 a (/.f64 c b)) (/.f64 c b) c) b)
accuracy0.02734375
(fma.f64 (*.f64 a (/.f64 c b)) (/.f64 c b) c)
accuracy2.3289987158326264
(*.f64 a (/.f64 c b))
accuracy18.469321027326906
#s(approx (/ (+ (neg b) (/ (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (*.f64 a (/.f64 c b)) (/.f64 c b) c) b)))
Samples
37.0ms140×0invalid
29.0ms77×0valid
12.0ms25×1valid
8.0ms11×2valid
2.0ms3valid
Compiler

Compiled 276 to 43 computations (84.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 66.0ms
ival-mult: 18.0ms (27.3% of total)
ival-div: 16.0ms (24.3% of total)
ival-sqrt: 12.0ms (18.2% of total)
ival-add: 6.0ms (9.1% of total)
ival-sub: 3.0ms (4.6% of total)
adjust: 3.0ms (4.6% of total)
ival-log: 3.0ms (4.6% of total)
ival-exp: 2.0ms (3% of total)
ival-neg: 2.0ms (3% of total)
exact: 1.0ms (1.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series128.0ms (1.5%)

Memory
-17.1MiB live, 193.8MiB allocated
Counts
22 → 648
Calls
Call 1
Inputs
#s(alt #s(approx (/ (+ (neg b) (/ (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (*.f64 a (/.f64 c b)) (/.f64 c b) c) b))) (patch #s(approx (/ (+ (neg b) (/ (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (*.f64 a (/.f64 c b)) (/.f64 c b) c) b))) #<representation binary64>) () ())
#s(alt (neg.f64 (/.f64 (fma.f64 (*.f64 a (/.f64 c b)) (/.f64 c b) c) b)) (patch (neg.f64 (/.f64 (fma.f64 (*.f64 a (/.f64 c b)) (/.f64 c b) c) b)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (*.f64 a (/.f64 c b)) (/.f64 c b) c) b) (patch (/.f64 (fma.f64 (*.f64 a (/.f64 c b)) (/.f64 c b) c) b) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 a (/.f64 c b)) (/.f64 c b) c) (patch (fma.f64 (*.f64 a (/.f64 c b)) (/.f64 c b) c) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 b a)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 b a)) #<representation binary64>) () ())
#s(alt (/.f64 b a) (patch (/.f64 b a) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 b b) b) (patch (/.f64 (*.f64 b b) b) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (/.f64 (*.f64 b b) b) a)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (/.f64 (*.f64 b b) b) a)) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 (*.f64 b b) b) a) (patch (/.f64 (/.f64 (*.f64 b b) b) a) #<representation binary64>) () ())
#s(alt (*.f64 b b) (patch (*.f64 b b) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (-.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) b) #s(literal 1/2 binary64)) a) (patch (/.f64 (*.f64 (-.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) b) #s(literal 1/2 binary64)) a) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) b) #s(literal 1/2 binary64)) (patch (*.f64 (-.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) b) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) b) (patch (-.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) b) #<representation binary64>) () ())
#s(alt (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (patch (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) #<representation binary64>) () ())
#s(alt (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) a)) #s(literal -1 binary64))) (patch (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) a)) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) a)) #s(literal -1 binary64)) (patch (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) a)) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) a)) #s(literal -1 binary64))) (-.f64 #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b)) b)) (patch (*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) a)) #s(literal -1 binary64))) (-.f64 #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b)) b)) #<representation binary64>) () ())
#s(alt (log.f64 (*.f64 #s(literal 2 binary64) a)) (patch (log.f64 (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())
#s(alt (*.f64 a (/.f64 c b)) (patch (*.f64 a (/.f64 c b)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 a c) #s(literal -4 binary64))) (patch #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 a c) #s(literal -4 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b)) (patch #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b)) #<representation binary64>) () ())
#s(alt (-.f64 #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b)) b) (patch (-.f64 #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b)) b) #<representation binary64>) () ())
Outputs
#s(alt (* -1 (/ c b)) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (/ (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (*.f64 a (/.f64 c b)) (/.f64 c b) c) b))) (patch #s(approx (/ (+ (neg b) (/ (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (*.f64 a (/.f64 c b)) (/.f64 c b) c) b))) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (/ (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (*.f64 a (/.f64 c b)) (/.f64 c b) c) b))) (patch #s(approx (/ (+ (neg b) (/ (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (*.f64 a (/.f64 c b)) (/.f64 c b) c) b))) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (/ (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (*.f64 a (/.f64 c b)) (/.f64 c b) c) b))) (patch #s(approx (/ (+ (neg b) (/ (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (*.f64 a (/.f64 c b)) (/.f64 c b) c) b))) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (/ (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (*.f64 a (/.f64 c b)) (/.f64 c b) c) b))) (patch #s(approx (/ (+ (neg b) (/ (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (*.f64 a (/.f64 c b)) (/.f64 c b) c) b))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ c b)) (taylor 0 c) (#s(alt (neg.f64 (/.f64 (fma.f64 (*.f64 a (/.f64 c b)) (/.f64 c b) c) b)) (patch (neg.f64 (/.f64 (fma.f64 (*.f64 a (/.f64 c b)) (/.f64 c b) c) b)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) (taylor 0 c) (#s(alt (neg.f64 (/.f64 (fma.f64 (*.f64 a (/.f64 c b)) (/.f64 c b) c) b)) (patch (neg.f64 (/.f64 (fma.f64 (*.f64 a (/.f64 c b)) (/.f64 c b) c) b)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) (taylor 0 c) (#s(alt (neg.f64 (/.f64 (fma.f64 (*.f64 a (/.f64 c b)) (/.f64 c b) c) b)) (patch (neg.f64 (/.f64 (fma.f64 (*.f64 a (/.f64 c b)) (/.f64 c b) c) b)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) (taylor 0 c) (#s(alt (neg.f64 (/.f64 (fma.f64 (*.f64 a (/.f64 c b)) (/.f64 c b) c) b)) (patch (neg.f64 (/.f64 (fma.f64 (*.f64 a (/.f64 c b)) (/.f64 c b) c) b)) #<representation binary64>) () ())) ())
#s(alt (/ c b) (taylor 0 c) (#s(alt (/.f64 (fma.f64 (*.f64 a (/.f64 c b)) (/.f64 c b) c) b) (patch (/.f64 (fma.f64 (*.f64 a (/.f64 c b)) (/.f64 c b) c) b) #<representation binary64>) () ())) ())
#s(alt (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))) (taylor 0 c) (#s(alt (/.f64 (fma.f64 (*.f64 a (/.f64 c b)) (/.f64 c b) c) b) (patch (/.f64 (fma.f64 (*.f64 a (/.f64 c b)) (/.f64 c b) c) b) #<representation binary64>) () ())) ())
#s(alt (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))) (taylor 0 c) (#s(alt (/.f64 (fma.f64 (*.f64 a (/.f64 c b)) (/.f64 c b) c) b) (patch (/.f64 (fma.f64 (*.f64 a (/.f64 c b)) (/.f64 c b) c) b) #<representation binary64>) () ())) ())
#s(alt (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))) (taylor 0 c) (#s(alt (/.f64 (fma.f64 (*.f64 a (/.f64 c b)) (/.f64 c b) c) b) (patch (/.f64 (fma.f64 (*.f64 a (/.f64 c b)) (/.f64 c b) c) b) #<representation binary64>) () ())) ())
#s(alt c (taylor 0 c) (#s(alt (fma.f64 (*.f64 a (/.f64 c b)) (/.f64 c b) c) (patch (fma.f64 (*.f64 a (/.f64 c b)) (/.f64 c b) c) #<representation binary64>) () ())) ())
#s(alt (* c (+ 1 (/ (* a c) (pow b 2)))) (taylor 0 c) (#s(alt (fma.f64 (*.f64 a (/.f64 c b)) (/.f64 c b) c) (patch (fma.f64 (*.f64 a (/.f64 c b)) (/.f64 c b) c) #<representation binary64>) () ())) ())
#s(alt (* c (+ 1 (/ (* a c) (pow b 2)))) (taylor 0 c) (#s(alt (fma.f64 (*.f64 a (/.f64 c b)) (/.f64 c b) c) (patch (fma.f64 (*.f64 a (/.f64 c b)) (/.f64 c b) c) #<representation binary64>) () ())) ())
#s(alt (* c (+ 1 (/ (* a c) (pow b 2)))) (taylor 0 c) (#s(alt (fma.f64 (*.f64 a (/.f64 c b)) (/.f64 c b) c) (patch (fma.f64 (*.f64 a (/.f64 c b)) (/.f64 c b) c) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ c b)) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 b a)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 b a)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 b a)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 b a)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ c b)) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (/.f64 (*.f64 b b) b) a)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (/.f64 (*.f64 b b) b) a)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (/.f64 (*.f64 b b) b) a)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (/.f64 (*.f64 b b) b) a)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (/.f64 (*.f64 b b) b) a)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (/.f64 (*.f64 b b) b) a)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (/.f64 (*.f64 b b) b) a)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (/.f64 (*.f64 b b) b) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ c b)) (taylor 0 c) (#s(alt (/.f64 (*.f64 (-.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) b) #s(literal 1/2 binary64)) a) (patch (/.f64 (*.f64 (-.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) b) #s(literal 1/2 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) (taylor 0 c) (#s(alt (/.f64 (*.f64 (-.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) b) #s(literal 1/2 binary64)) a) (patch (/.f64 (*.f64 (-.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) b) #s(literal 1/2 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) (taylor 0 c) (#s(alt (/.f64 (*.f64 (-.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) b) #s(literal 1/2 binary64)) a) (patch (/.f64 (*.f64 (-.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) b) #s(literal 1/2 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))) (taylor 0 c) (#s(alt (/.f64 (*.f64 (-.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) b) #s(literal 1/2 binary64)) a) (patch (/.f64 (*.f64 (-.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) b) #s(literal 1/2 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* a c) b)) (taylor 0 c) (#s(alt (*.f64 (-.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) b) #s(literal 1/2 binary64)) (patch (*.f64 (-.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) b) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1 (/ a b)) (* -1 (/ (* (pow a 2) c) (pow b 3))))) (taylor 0 c) (#s(alt (*.f64 (-.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) b) #s(literal 1/2 binary64)) (patch (*.f64 (-.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) b) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1 (/ a b)) (* c (+ (* -2 (/ (* (pow a 3) c) (pow b 5))) (* -1 (/ (pow a 2) (pow b 3))))))) (taylor 0 c) (#s(alt (*.f64 (-.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) b) #s(literal 1/2 binary64)) (patch (*.f64 (-.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) b) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1 (/ a b)) (* c (+ (* -1 (/ (pow a 2) (pow b 3))) (* c (+ (* -2 (/ (pow a 3) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)))))))) (taylor 0 c) (#s(alt (*.f64 (-.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) b) #s(literal 1/2 binary64)) (patch (*.f64 (-.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) b) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ (* a c) b)) (taylor 0 c) (#s(alt (-.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) b) (patch (-.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) b) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))) (taylor 0 c) (#s(alt (-.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) b) (patch (-.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) b) #<representation binary64>) () ())) ())
#s(alt (* 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 (-.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) b) (patch (-.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) b) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)))))))) (taylor 0 c) (#s(alt (-.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) b) (patch (-.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) b) #<representation binary64>) () ())) ())
#s(alt b (taylor 0 c) (#s(alt (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (patch (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ b (* -2 (/ (* a c) b))) (taylor 0 c) (#s(alt (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (patch (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) (taylor 0 c) (#s(alt (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (patch (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) #<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 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (patch (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ c b)) (taylor 0 c) (#s(alt (*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) a)) #s(literal -1 binary64))) (-.f64 #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b)) b)) (patch (*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) a)) #s(literal -1 binary64))) (-.f64 #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b)) b)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) (taylor 0 c) (#s(alt (*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) a)) #s(literal -1 binary64))) (-.f64 #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b)) b)) (patch (*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) a)) #s(literal -1 binary64))) (-.f64 #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b)) b)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) (taylor 0 c) (#s(alt (*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) a)) #s(literal -1 binary64))) (-.f64 #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b)) b)) (patch (*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) a)) #s(literal -1 binary64))) (-.f64 #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b)) b)) #<representation binary64>) () ())) ())
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#s(alt (/ (* a (pow c 2)) (pow b 3)) (taylor -inf c) (#s(alt (/.f64 (fma.f64 (*.f64 a (/.f64 c b)) (/.f64 c b) c) b) (patch (/.f64 (fma.f64 (*.f64 a (/.f64 c b)) (/.f64 c b) c) b) #<representation binary64>) () ())) ())
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#s(alt (/ (* a (pow c 2)) (pow b 2)) (taylor -inf c) (#s(alt (fma.f64 (*.f64 a (/.f64 c b)) (/.f64 c b) c) (patch (fma.f64 (*.f64 a (/.f64 c b)) (/.f64 c b) c) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* (sqrt (/ c a)) (sqrt -1))) (taylor -inf c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (/.f64 (*.f64 b b) b) a)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (/.f64 (*.f64 b b) b) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) (taylor -inf c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (/.f64 (*.f64 b b) b) a)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (/.f64 (*.f64 b b) b) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) (taylor -inf c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (/.f64 (*.f64 b b) b) a)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (/.f64 (*.f64 b b) b) a)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* (sqrt (/ c a)) (sqrt -1))) (taylor -inf c) (#s(alt (/.f64 (*.f64 (-.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) b) #s(literal 1/2 binary64)) a) (patch (/.f64 (*.f64 (-.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) b) #s(literal 1/2 binary64)) a) #<representation binary64>) () ())) ())
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#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 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (patch (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) #<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 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (patch (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (/ 1/2 a) (taylor -inf a) (#s(alt (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) a)) #s(literal -1 binary64))) (patch (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) a)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
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#s(alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) (taylor -inf a) (#s(alt (*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) a)) #s(literal -1 binary64))) (-.f64 #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b)) b)) (patch (*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) a)) #s(literal -1 binary64))) (-.f64 #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b)) b)) #<representation binary64>) () ())) ())
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#s(alt (/ (* a c) b) (taylor -inf a) (#s(alt (*.f64 a (/.f64 c b)) (patch (*.f64 a (/.f64 c b)) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) b) (taylor -inf a) (#s(alt (*.f64 a (/.f64 c b)) (patch (*.f64 a (/.f64 c b)) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) b) (taylor -inf a) (#s(alt (*.f64 a (/.f64 c b)) (patch (*.f64 a (/.f64 c b)) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) b) (taylor -inf a) (#s(alt (*.f64 a (/.f64 c b)) (patch (*.f64 a (/.f64 c b)) #<representation binary64>) () ())) ())
#s(alt (* -4 (* a c)) (taylor -inf a) (#s(alt #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 a c) #s(literal -4 binary64))) (patch #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 a c) #s(literal -4 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) (taylor -inf a) (#s(alt #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 a c) #s(literal -4 binary64))) (patch #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 a c) #s(literal -4 binary64))) #<representation binary64>) () ())) ())
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#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 #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b)) (patch #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b)) #<representation binary64>) () ())) ())
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#s(alt (* -2 (* (sqrt (* a c)) (sqrt -1))) (taylor -inf a) (#s(alt (-.f64 #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b)) b) (patch (-.f64 #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b)) b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)))) (taylor -inf a) (#s(alt (-.f64 #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b)) b) (patch (-.f64 #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b)) b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) (taylor -inf a) (#s(alt (-.f64 #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b)) b) (patch (-.f64 #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b)) b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) (taylor -inf a) (#s(alt (-.f64 #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b)) b) (patch (-.f64 #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b)) b) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
39.0ms
a
@0
((/ (+ (neg b) (/ (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (neg (/ (+ (* (* a (/ c b)) (/ c b)) c) b)) (/ (+ (* (* a (/ c b)) (/ c b)) c) b) (+ (* (* a (/ c b)) (/ c b)) c) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ b a) (/ (* b b) b) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ (/ (* b b) b) a) (* b b) (/ (* (- (sqrt (+ (* -4 (* c a)) (* b b))) b) 1/2) a) (* (- (sqrt (+ (* -4 (* c a)) (* b b))) b) 1/2) (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (sqrt (+ (* -4 (* c a)) (* b b))) (exp (* (log (* 2 a)) -1)) (* (log (* 2 a)) -1) (* (exp (* (log (* 2 a)) -1)) (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (log (* 2 a)) (* a (/ c b)) (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))) (- (sqrt (+ (* -4 (* c a)) (* b b))) b))
25.0ms
a
@inf
((/ (+ (neg b) (/ (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (neg (/ (+ (* (* a (/ c b)) (/ c b)) c) b)) (/ (+ (* (* a (/ c b)) (/ c b)) c) b) (+ (* (* a (/ c b)) (/ c b)) c) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ b a) (/ (* b b) b) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ (/ (* b b) b) a) (* b b) (/ (* (- (sqrt (+ (* -4 (* c a)) (* b b))) b) 1/2) a) (* (- (sqrt (+ (* -4 (* c a)) (* b b))) b) 1/2) (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (sqrt (+ (* -4 (* c a)) (* b b))) (exp (* (log (* 2 a)) -1)) (* (log (* 2 a)) -1) (* (exp (* (log (* 2 a)) -1)) (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (log (* 2 a)) (* a (/ c b)) (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))) (- (sqrt (+ (* -4 (* c a)) (* b b))) b))
18.0ms
a
@-inf
((/ (+ (neg b) (/ (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (neg (/ (+ (* (* a (/ c b)) (/ c b)) c) b)) (/ (+ (* (* a (/ c b)) (/ c b)) c) b) (+ (* (* a (/ c b)) (/ c b)) c) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ b a) (/ (* b b) b) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ (/ (* b b) b) a) (* b b) (/ (* (- (sqrt (+ (* -4 (* c a)) (* b b))) b) 1/2) a) (* (- (sqrt (+ (* -4 (* c a)) (* b b))) b) 1/2) (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (sqrt (+ (* -4 (* c a)) (* b b))) (exp (* (log (* 2 a)) -1)) (* (log (* 2 a)) -1) (* (exp (* (log (* 2 a)) -1)) (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (log (* 2 a)) (* a (/ c b)) (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))) (- (sqrt (+ (* -4 (* c a)) (* b b))) b))
7.0ms
b
@0
((/ (+ (neg b) (/ (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (neg (/ (+ (* (* a (/ c b)) (/ c b)) c) b)) (/ (+ (* (* a (/ c b)) (/ c b)) c) b) (+ (* (* a (/ c b)) (/ c b)) c) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ b a) (/ (* b b) b) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ (/ (* b b) b) a) (* b b) (/ (* (- (sqrt (+ (* -4 (* c a)) (* b b))) b) 1/2) a) (* (- (sqrt (+ (* -4 (* c a)) (* b b))) b) 1/2) (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (sqrt (+ (* -4 (* c a)) (* b b))) (exp (* (log (* 2 a)) -1)) (* (log (* 2 a)) -1) (* (exp (* (log (* 2 a)) -1)) (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (log (* 2 a)) (* a (/ c b)) (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))) (- (sqrt (+ (* -4 (* c a)) (* b b))) b))
2.0ms
b
@-inf
((/ (+ (neg b) (/ (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (neg (/ (+ (* (* a (/ c b)) (/ c b)) c) b)) (/ (+ (* (* a (/ c b)) (/ c b)) c) b) (+ (* (* a (/ c b)) (/ c b)) c) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ b a) (/ (* b b) b) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ (/ (* b b) b) a) (* b b) (/ (* (- (sqrt (+ (* -4 (* c a)) (* b b))) b) 1/2) a) (* (- (sqrt (+ (* -4 (* c a)) (* b b))) b) 1/2) (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (sqrt (+ (* -4 (* c a)) (* b b))) (exp (* (log (* 2 a)) -1)) (* (log (* 2 a)) -1) (* (exp (* (log (* 2 a)) -1)) (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (log (* 2 a)) (* a (/ c b)) (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))) (- (sqrt (+ (* -4 (* c a)) (* b b))) b))

simplify178.0ms (2.1%)

Memory
23.3MiB live, 173.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
072811769
1242111585
0808511100
Stop Event
iter limit
node limit
Counts
648 → 626
Calls
Call 1
Inputs
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(/ c b)
(* c (+ (/ 1 b) (/ (* a c) (pow b 3))))
(* c (+ (/ 1 b) (/ (* a c) (pow b 3))))
(* c (+ (/ 1 b) (/ (* a c) (pow b 3))))
c
(* c (+ 1 (/ (* a c) (pow b 2))))
(* c (+ 1 (/ (* a c) (pow b 2))))
(* c (+ 1 (/ (* a c) (pow b 2))))
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(* -1 (/ (* a c) b))
(* c (+ (* -1 (/ a b)) (* -1 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -1 (/ a b)) (* c (+ (* -2 (/ (* (pow a 3) c) (pow b 5))) (* -1 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -1 (/ a b)) (* c (+ (* -1 (/ (pow a 2) (pow b 3))) (* c (+ (* -2 (/ (pow a 3) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b))))))))
(* -2 (/ (* a c) b))
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b))))))))
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))))))))
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
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(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
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b
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(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* -2 (/ (* a c) b))
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))
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(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b))))))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
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(/ (* a (pow c 2)) (pow b 2))
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(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(* -4 (* a c))
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(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
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(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(* -4 (* a c))
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(/ (+ (* a (pow c 2)) (* (pow b 2) c)) (pow b 3))
(/ (+ (* a (pow c 2)) (* (pow b 2) c)) (pow b 3))
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(/ (+ (* a (pow c 2)) (* (pow b 2) c)) (pow b 2))
(/ (+ (* a (pow c 2)) (* (pow b 2) c)) (pow b 2))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
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(/ b a)
(/ b a)
(/ b a)
(/ b a)
b
b
b
b
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
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(/ b a)
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(/ b a)
(pow b 2)
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(pow b 2)
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
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(* (sqrt (* a c)) (sqrt -4))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))
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(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(* -4 (* a c))
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(* (sqrt (* a c)) (sqrt -4))
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(* (sqrt (* a c)) (sqrt -4))
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c
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b
b
b
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b
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b
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c
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c
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b
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(/ (* a c) b)
(/ (* a c) b)
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(pow b 2)
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b
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(* (sqrt (* a c)) (sqrt -4))
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(* (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))))))
(* (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)))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(* -1 (/ (* a (pow c 2)) (pow b 3)))
(* -1 (* a (- (/ c (* a b)) (* -1 (/ (pow c 2) (pow b 3))))))
(* -1 (* a (- (/ c (* a b)) (* -1 (/ (pow c 2) (pow b 3))))))
(* -1 (* a (- (/ c (* a b)) (* -1 (/ (pow c 2) (pow b 3))))))
(/ (* a (pow c 2)) (pow b 3))
(* -1 (* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3))))))
(* -1 (* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3))))))
(* -1 (* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3))))))
(/ (* a (pow c 2)) (pow b 2))
(* -1 (* a (+ (* -1 (/ c a)) (* -1 (/ (pow c 2) (pow b 2))))))
(* -1 (* a (+ (* -1 (/ c a)) (* -1 (/ (pow c 2) (pow b 2))))))
(* -1 (* a (+ (* -1 (/ c a)) (* -1 (/ (pow c 2) (pow b 2))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (+ (* -1 (/ (+ (* -1/2 b) (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* 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)))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -2 (* (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 a)
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(* -1 (+ (log -2) (* -1 (log (/ -1 a)))))
(* -1 (+ (log -2) (* -1 (log (/ -1 a)))))
(* -1 (+ (log -2) (* -1 (log (/ -1 a)))))
(* -1 (+ (log -2) (* -1 (log (/ -1 a)))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(+ (log -2) (* -1 (log (/ -1 a))))
(+ (log -2) (* -1 (log (/ -1 a))))
(+ (log -2) (* -1 (log (/ -1 a))))
(+ (log -2) (* -1 (log (/ -1 a))))
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(* -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 (* (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))))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
Outputs
(* -1 (/ c b))
(/.f64 (neg.f64 c) b)
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(*.f64 (neg.f64 (fma.f64 c (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) b))) c)
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -2 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c)
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 c a)) (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 20 binary64) b)) (/.f64 (*.f64 (*.f64 a a) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c)
(* -1 (/ c b))
(/.f64 (neg.f64 c) b)
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(*.f64 (neg.f64 (fma.f64 c (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) b))) c)
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(*.f64 (neg.f64 (fma.f64 c (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) b))) c)
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(*.f64 (neg.f64 (fma.f64 c (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) b))) c)
(/ c b)
(/.f64 c b)
(* c (+ (/ 1 b) (/ (* a c) (pow b 3))))
(*.f64 (fma.f64 c (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) b)) c)
(* c (+ (/ 1 b) (/ (* a c) (pow b 3))))
(*.f64 (fma.f64 c (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) b)) c)
(* c (+ (/ 1 b) (/ (* a c) (pow b 3))))
(*.f64 (fma.f64 c (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) b)) c)
c
(* c (+ 1 (/ (* a c) (pow b 2))))
(fma.f64 (/.f64 (/.f64 a b) b) (*.f64 c c) c)
(* c (+ 1 (/ (* a c) (pow b 2))))
(fma.f64 (/.f64 (/.f64 a b) b) (*.f64 c c) c)
(* c (+ 1 (/ (* a c) (pow b 2))))
(fma.f64 (/.f64 (/.f64 a b) b) (*.f64 c c) c)
(* -1 (/ c b))
(/.f64 (neg.f64 c) b)
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(*.f64 (neg.f64 (fma.f64 c (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) b))) c)
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -2 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c)
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 c a)) (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 20 binary64) b)) (/.f64 (*.f64 (*.f64 a a) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c)
(* -1 (/ c b))
(/.f64 (neg.f64 c) b)
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(*.f64 (neg.f64 (fma.f64 c (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) b))) c)
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -2 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c)
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 c a)) (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 20 binary64) b)) (/.f64 (*.f64 (*.f64 a a) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c)
(* -1 (/ c b))
(/.f64 (neg.f64 c) b)
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(*.f64 (neg.f64 (fma.f64 c (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) b))) c)
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -2 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c)
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 c a)) (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 20 binary64) b)) (/.f64 (*.f64 (*.f64 a a) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c)
(* -1 (/ (* a c) b))
(/.f64 (*.f64 (neg.f64 c) a) b)
(* c (+ (* -1 (/ a b)) (* -1 (/ (* (pow a 2) c) (pow b 3)))))
(*.f64 (neg.f64 (fma.f64 c (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) (/.f64 a b))) c)
(* c (+ (* -1 (/ a b)) (* c (+ (* -2 (/ (* (pow a 3) c) (pow b 5))) (* -1 (/ (pow a 2) (pow b 3)))))))
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (pow.f64 a #s(literal 3 binary64))) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (neg.f64 a) a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 (neg.f64 a) b)) c)
(* c (+ (* -1 (/ a b)) (* c (+ (* -1 (/ (pow a 2) (pow b 3))) (* c (+ (* -2 (/ (pow a 3) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) c) (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 20 binary64) b)) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (*.f64 (neg.f64 a) a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 (neg.f64 a) b)) c)
(* -2 (/ (* a c) b))
(*.f64 (*.f64 #s(literal -2 binary64) (/.f64 c b)) a)
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))
(*.f64 (*.f64 c #s(literal -2 binary64)) (fma.f64 c (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) (/.f64 a b)))
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))
(*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) (*.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) (*.f64 #s(literal -2 binary64) (fma.f64 c (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) (/.f64 a b)))) c)
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) c) (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 20 binary64) b)) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -4 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) #s(literal -2 binary64))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c)
b
(+ b (* -2 (/ (* a c) b)))
(fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 c b) b)
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(fma.f64 (*.f64 c #s(literal -2 binary64)) (fma.f64 c (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) (/.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 (fma.f64 (*.f64 #s(literal -4 binary64) c) (*.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) (*.f64 #s(literal -2 binary64) (fma.f64 c (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) (/.f64 a b)))) c b)
(* -1 (/ c b))
(/.f64 (neg.f64 c) b)
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(*.f64 (neg.f64 (fma.f64 c (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) b))) c)
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -2 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c)
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 c a)) (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 20 binary64) b)) (/.f64 (*.f64 (*.f64 a a) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c)
(/ (* a c) b)
(*.f64 a (/.f64 c b))
(/ (* a c) b)
(*.f64 a (/.f64 c b))
(/ (* a c) b)
(*.f64 a (/.f64 c b))
(/ (* a c) b)
(*.f64 a (/.f64 c b))
(pow b 2)
(*.f64 b b)
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))
b
(+ b (* -2 (/ (* a c) b)))
(fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 c b) b)
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(fma.f64 (*.f64 c #s(literal -2 binary64)) (fma.f64 c (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) (/.f64 a b)) b)
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
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(*.f64 (neg.f64 a) (fma.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal 1/512 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 7 binary64)))) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 a c)))
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))
(*.f64 (neg.f64 a) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (/.f64 b a)))
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(*.f64 (neg.f64 a) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (*.f64 b b)) #s(literal -1/4 binary64) (neg.f64 b)) (neg.f64 a))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(*.f64 (neg.f64 a) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a))) (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/64 binary64)))) (neg.f64 a)) b) a)))

rewrite143.0ms (1.7%)

Memory
16.1MiB live, 132.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051304
074292
1267278
21985265
08882250
Stop Event
iter limit
node limit
iter limit
Counts
22 → 651
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (/ (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (*.f64 a (/.f64 c b)) (/.f64 c b) c) b)))
(neg.f64 (/.f64 (fma.f64 (*.f64 a (/.f64 c b)) (/.f64 c b) c) b))
(/.f64 (fma.f64 (*.f64 a (/.f64 c b)) (/.f64 c b) c) b)
(fma.f64 (*.f64 a (/.f64 c b)) (/.f64 c b) c)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 b a))
(/.f64 b a)
(/.f64 (*.f64 b b) b)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (/.f64 (*.f64 b b) b) a))
(/.f64 (/.f64 (*.f64 b b) b) a)
(*.f64 b b)
(/.f64 (*.f64 (-.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) b) #s(literal 1/2 binary64)) a)
(*.f64 (-.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) b) #s(literal 1/2 binary64))
(-.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) b)
(sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 a c) #s(literal -4 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) a)) #s(literal -1 binary64)))
(*.f64 (log.f64 (*.f64 #s(literal 2 binary64) a)) #s(literal -1 binary64))
(*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) a)) #s(literal -1 binary64))) (-.f64 #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b)) b))
(log.f64 (*.f64 #s(literal 2 binary64) a))
(*.f64 a (/.f64 c b))
#s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 a c) #s(literal -4 binary64)))
#s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b))
(-.f64 #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b)) b)
Outputs
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eval154.0ms (1.8%)

Memory
11.2MiB live, 197.5MiB allocated
Compiler

Compiled 25 931 to 3 192 computations (87.7% saved)

prune103.0ms (1.2%)

Memory
-20.3MiB live, 126.1MiB allocated
Pruning

35 alts after pruning (26 fresh and 9 done)

PrunedKeptTotal
New1 265121 277
Fresh51419
Picked145
Done055
Total1 271351 306
Accuracy
94.8%
Counts
1 306 → 35
Alt Table
Click to see full alt table
StatusAccuracyProgram
2.6%
(fma.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) b) (*.f64 (/.f64 #s(literal 1/2 binary64) a) b))
26.3%
(/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 a c) #s(literal -4 binary64))))) b) (*.f64 #s(literal 2 binary64) a))
15.4%
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (pow.f64 #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b)) #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (fma.f64 b (+.f64 #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b)) b) (pow.f64 #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b)) #s(literal 2 binary64))))
21.9%
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 a c) #s(literal -4 binary64))) (*.f64 b b))) (-.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) b))
29.5%
(/.f64 (*.f64 (-.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) b) #s(literal 1/2 binary64)) a)
19.6%
(/.f64 (*.f64 (-.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 a c) #s(literal -4 binary64))) (*.f64 b b)) #s(literal 1/2 binary64)) (*.f64 (-.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) b) a))
51.0%
(/.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) #s(literal -1/2 binary64)) a)
37.2%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 c (/.f64 #s(literal -2 binary64) b)) a)) (*.f64 #s(literal 2 binary64) a))
34.3%
(/.f64 #s(approx (* (- (sqrt (+ (* -4 (* c a)) (* b b))) b) 1/2) (/.f64 (*.f64 (neg.f64 c) a) b)) a)
16.0%
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (*.f64 #s(literal 2 binary64) a))) (-.f64 #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b)) b))
29.4%
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) b))
35.8%
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b)) b))
16.1%
(*.f64 (exp.f64 (neg.f64 (log.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b)) b))
41.2%
#s(approx (/ (+ (neg b) (/ (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (/.f64 (neg.f64 c) b))
10.2%
#s(approx (/ (+ (neg b) (/ (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (/.f64 c b))
40.9%
#s(approx (/ (+ (neg b) (/ (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 b c)))
10.2%
#s(approx (/ (+ (neg b) (/ (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (*.f64 (/.f64 c (*.f64 b b)) b))
35.4%
#s(approx (/ (+ (neg b) (/ (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (*.f64 (neg.f64 b) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b)))))
41.0%
#s(approx (/ (+ (neg b) (/ (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (*.f64 a (/.f64 c b)) (/.f64 c b) c) b)))
1.8%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (/.f64 (pow.f64 (exp.f64 (log.f64 b)) #s(literal 2 binary64)) b) a))
28.9%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (pow.f64 b #s(literal -1 binary64)) #s(literal -2 binary64))) (+.f64 #s(literal 0 binary64) b)) a))
2.4%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (/.f64 (*.f64 b b) b) a))
2.3%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (/.f64 (*.f64 b b) a) b))
1.8%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (/.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) b) a))
26.3%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) a) (*.f64 a b)) (*.f64 a a)))
1.4%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 b) b)) (/.f64 (*.f64 b b) (/.f64 #s(literal -1 binary64) b))) a))
2.1%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (*.f64 b b) (*.f64 b a)))
35.9%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a))
2.0%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (exp.f64 (-.f64 (*.f64 (log.f64 b) #s(literal 3 binary64)) (*.f64 (log.f64 b) #s(literal 2 binary64)))) a))
2.0%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 1 binary64))) a))
2.6%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 b a))
35.8%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a) b)))
2.6%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 a b)))
2.6%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) a) (neg.f64 b)))
5.1%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (exp.f64 (*.f64 (log.f64 (/.f64 a b)) #s(literal -1 binary64))))
Compiler

Compiled 1 167 to 600 computations (48.6% saved)

regimes74.0ms (0.9%)

Memory
3.0MiB live, 78.9MiB allocated
Counts
60 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 b a))
#s(approx (/ (+ (neg b) (/ (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (/.f64 c b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b))
#s(approx (/ (+ (neg b) (/ (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (/.f64 (neg.f64 c) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) a) (neg.f64 b)))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (+.f64 #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) b) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (*.f64 b b) (*.f64 b a)))
#s(approx (/ (+ (neg b) (/ (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (*.f64 (/.f64 c (*.f64 b b)) b))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 a b)))
#s(approx (/ (+ (neg b) (/ (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 b c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (/.f64 (*.f64 b b) a) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (/.f64 (*.f64 b b) b) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) a) (*.f64 a b)) (*.f64 a a)))
(/.f64 #s(approx (* (- b (sqrt (+ (* -4 (* c a)) (* b b)))) -1/2) (/.f64 (*.f64 (neg.f64 c) a) b)) a)
(/.f64 #s(approx (* (- (sqrt (+ (* -4 (* c a)) (* b b))) b) 1/2) (/.f64 (*.f64 (neg.f64 c) a) b)) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (+.f64 #s(literal 0 binary64) b)) a))
(fma.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) b) (*.f64 (/.f64 #s(literal 1/2 binary64) a) b))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a))
#s(approx (/ (+ (neg b) (/ (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (*.f64 (neg.f64 b) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64))))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 c (/.f64 #s(literal -2 binary64) b)) a)) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 (/.f64 c b) #s(literal -2 binary64)) a)) (*.f64 #s(literal 2 binary64) a))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) b))
(/.f64 (*.f64 (-.f64 b (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) #s(literal -1/2 binary64)) a)
(/.f64 (*.f64 (-.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) b) #s(literal 1/2 binary64)) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 (/.f64 c b) b) b (/.f64 (neg.f64 b) a)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (/.f64 #s(literal -2 binary64) (/.f64 b c)) a)) (*.f64 #s(literal 2 binary64) a))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b))
(/.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) #s(literal -1/2 binary64)) a)
#s(approx (/ (+ (neg b) (/ (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (*.f64 a (/.f64 c b)) (/.f64 c b) c) b)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b c) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) a))))) (*.f64 #s(literal 2 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 b) b)) (/.f64 (*.f64 b b) (/.f64 #s(literal -1 binary64) b))) a))
(/.f64 (*.f64 (-.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 a c) #s(literal -4 binary64))) (*.f64 b b)) #s(literal 1/2 binary64)) (*.f64 (-.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) b) a))
(/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 a c) #s(literal -4 binary64))))) b) (*.f64 #s(literal 2 binary64) a))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 a c) #s(literal -4 binary64))) (*.f64 b b))) (-.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) b))
(/.f64 (+.f64 (neg.f64 b) (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (fma.f64 b b (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (*.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) (*.f64 #s(literal -2 binary64) a)))
(/.f64 (+.f64 (neg.f64 b) (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (*.f64 b b)) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (*.f64 c (fma.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) a (/.f64 #s(literal 1 binary64) b)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 b b) (*.f64 #s(literal 0 binary64) (neg.f64 b))))) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 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)) (/.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 1 binary64))) a))
(*.f64 (exp.f64 (neg.f64 (log.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b)) b))
(*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) a)) #s(literal -1 binary64))) (-.f64 #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (/.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) b) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (/.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) (+.f64 #s(literal 0 binary64) b)) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (pow.f64 b #s(literal -1 binary64)) #s(literal -2 binary64))) (+.f64 #s(literal 0 binary64) b)) a))
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (*.f64 #s(literal 2 binary64) a))) (-.f64 #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (/.f64 (pow.f64 (exp.f64 (log.f64 b)) #s(literal 2 binary64)) b) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (exp.f64 (-.f64 (*.f64 (log.f64 b) #s(literal 3 binary64)) (*.f64 (log.f64 b) #s(literal 2 binary64)))) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (/.f64 (pow.f64 (exp.f64 (log.f64 b)) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) b)) a))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (pow.f64 #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b)) #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (fma.f64 b (+.f64 #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b)) b) (pow.f64 #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b)) #s(literal 2 binary64))))
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a))
(/.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) #s(literal -1/2 binary64)) a)
#s(approx (/ (+ (neg b) (/ (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (*.f64 a (/.f64 c b)) (/.f64 c b) c) b)))
Calls

4 calls:

18.0ms
b
18.0ms
(/.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))
17.0ms
c
17.0ms
a
Results
AccuracySegmentsBranch
54.4%3a
89.5%3b
55.4%3c
76.4%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 20 to 23 computations (-15% saved)

regimes15.0ms (0.2%)

Memory
-25.7MiB live, 14.3MiB allocated
Counts
33 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 b a))
#s(approx (/ (+ (neg b) (/ (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (/.f64 c b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b))
#s(approx (/ (+ (neg b) (/ (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (/.f64 (neg.f64 c) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) a) (neg.f64 b)))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (+.f64 #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) b) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (*.f64 b b) (*.f64 b a)))
#s(approx (/ (+ (neg b) (/ (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (*.f64 (/.f64 c (*.f64 b b)) b))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 a b)))
#s(approx (/ (+ (neg b) (/ (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 b c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (/.f64 (*.f64 b b) a) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (/.f64 (*.f64 b b) b) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) a) (*.f64 a b)) (*.f64 a a)))
(/.f64 #s(approx (* (- b (sqrt (+ (* -4 (* c a)) (* b b)))) -1/2) (/.f64 (*.f64 (neg.f64 c) a) b)) a)
(/.f64 #s(approx (* (- (sqrt (+ (* -4 (* c a)) (* b b))) b) 1/2) (/.f64 (*.f64 (neg.f64 c) a) b)) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (+.f64 #s(literal 0 binary64) b)) a))
(fma.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) b) (*.f64 (/.f64 #s(literal 1/2 binary64) a) b))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a))
#s(approx (/ (+ (neg b) (/ (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (*.f64 (neg.f64 b) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64))))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 c (/.f64 #s(literal -2 binary64) b)) a)) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 (/.f64 c b) #s(literal -2 binary64)) a)) (*.f64 #s(literal 2 binary64) a))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) b))
(/.f64 (*.f64 (-.f64 b (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) #s(literal -1/2 binary64)) a)
(/.f64 (*.f64 (-.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) b) #s(literal 1/2 binary64)) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 (/.f64 c b) b) b (/.f64 (neg.f64 b) a)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (/.f64 #s(literal -2 binary64) (/.f64 b c)) a)) (*.f64 #s(literal 2 binary64) a))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b))
(/.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) #s(literal -1/2 binary64)) a)
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a))
(/.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) #s(literal -1/2 binary64)) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b))
Calls

1 calls:

13.0ms
b
Results
AccuracySegmentsBranch
89.4%3b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes11.0ms (0.1%)

Memory
13.7MiB live, 13.7MiB allocated
Counts
32 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 b a))
#s(approx (/ (+ (neg b) (/ (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (/.f64 c b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b))
#s(approx (/ (+ (neg b) (/ (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (/.f64 (neg.f64 c) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) a) (neg.f64 b)))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (+.f64 #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) b) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (*.f64 b b) (*.f64 b a)))
#s(approx (/ (+ (neg b) (/ (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (*.f64 (/.f64 c (*.f64 b b)) b))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 a b)))
#s(approx (/ (+ (neg b) (/ (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 b c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (/.f64 (*.f64 b b) a) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (/.f64 (*.f64 b b) b) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) a) (*.f64 a b)) (*.f64 a a)))
(/.f64 #s(approx (* (- b (sqrt (+ (* -4 (* c a)) (* b b)))) -1/2) (/.f64 (*.f64 (neg.f64 c) a) b)) a)
(/.f64 #s(approx (* (- (sqrt (+ (* -4 (* c a)) (* b b))) b) 1/2) (/.f64 (*.f64 (neg.f64 c) a) b)) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (+.f64 #s(literal 0 binary64) b)) a))
(fma.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) b) (*.f64 (/.f64 #s(literal 1/2 binary64) a) b))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a))
#s(approx (/ (+ (neg b) (/ (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (*.f64 (neg.f64 b) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64))))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 c (/.f64 #s(literal -2 binary64) b)) a)) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 (/.f64 c b) #s(literal -2 binary64)) a)) (*.f64 #s(literal 2 binary64) a))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) b))
(/.f64 (*.f64 (-.f64 b (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) #s(literal -1/2 binary64)) a)
(/.f64 (*.f64 (-.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) b) #s(literal 1/2 binary64)) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 (/.f64 c b) b) b (/.f64 (neg.f64 b) a)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (/.f64 #s(literal -2 binary64) (/.f64 b c)) a)) (*.f64 #s(literal 2 binary64) a))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b))
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b))
Calls

1 calls:

9.0ms
b
Results
AccuracySegmentsBranch
89.3%3b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes11.0ms (0.1%)

Memory
13.3MiB live, 13.3MiB allocated
Counts
31 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 b a))
#s(approx (/ (+ (neg b) (/ (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (/.f64 c b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b))
#s(approx (/ (+ (neg b) (/ (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (/.f64 (neg.f64 c) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) a) (neg.f64 b)))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (+.f64 #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) b) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (*.f64 b b) (*.f64 b a)))
#s(approx (/ (+ (neg b) (/ (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (*.f64 (/.f64 c (*.f64 b b)) b))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 a b)))
#s(approx (/ (+ (neg b) (/ (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 b c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (/.f64 (*.f64 b b) a) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (/.f64 (*.f64 b b) b) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) a) (*.f64 a b)) (*.f64 a a)))
(/.f64 #s(approx (* (- b (sqrt (+ (* -4 (* c a)) (* b b)))) -1/2) (/.f64 (*.f64 (neg.f64 c) a) b)) a)
(/.f64 #s(approx (* (- (sqrt (+ (* -4 (* c a)) (* b b))) b) 1/2) (/.f64 (*.f64 (neg.f64 c) a) b)) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (+.f64 #s(literal 0 binary64) b)) a))
(fma.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) b) (*.f64 (/.f64 #s(literal 1/2 binary64) a) b))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a))
#s(approx (/ (+ (neg b) (/ (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (*.f64 (neg.f64 b) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64))))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 c (/.f64 #s(literal -2 binary64) b)) a)) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 (/.f64 c b) #s(literal -2 binary64)) a)) (*.f64 #s(literal 2 binary64) a))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) b))
(/.f64 (*.f64 (-.f64 b (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) #s(literal -1/2 binary64)) a)
(/.f64 (*.f64 (-.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) b) #s(literal 1/2 binary64)) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 (/.f64 c b) b) b (/.f64 (neg.f64 b) a)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (/.f64 #s(literal -2 binary64) (/.f64 b c)) a)) (*.f64 #s(literal 2 binary64) a))
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 (/.f64 c b) b) b (/.f64 (neg.f64 b) a)))
(/.f64 (*.f64 (-.f64 b (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) #s(literal -1/2 binary64)) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b))
Calls

1 calls:

9.0ms
b
Results
AccuracySegmentsBranch
87.1%3b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes12.0ms (0.1%)

Memory
-26.7MiB live, 11.8MiB allocated
Counts
28 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 b a))
#s(approx (/ (+ (neg b) (/ (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (/.f64 c b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b))
#s(approx (/ (+ (neg b) (/ (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (/.f64 (neg.f64 c) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) a) (neg.f64 b)))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (+.f64 #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) b) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (*.f64 b b) (*.f64 b a)))
#s(approx (/ (+ (neg b) (/ (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (*.f64 (/.f64 c (*.f64 b b)) b))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 a b)))
#s(approx (/ (+ (neg b) (/ (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 b c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (/.f64 (*.f64 b b) a) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (/.f64 (*.f64 b b) b) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) a) (*.f64 a b)) (*.f64 a a)))
(/.f64 #s(approx (* (- b (sqrt (+ (* -4 (* c a)) (* b b)))) -1/2) (/.f64 (*.f64 (neg.f64 c) a) b)) a)
(/.f64 #s(approx (* (- (sqrt (+ (* -4 (* c a)) (* b b))) b) 1/2) (/.f64 (*.f64 (neg.f64 c) a) b)) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (+.f64 #s(literal 0 binary64) b)) a))
(fma.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) b) (*.f64 (/.f64 #s(literal 1/2 binary64) a) b))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a))
#s(approx (/ (+ (neg b) (/ (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (*.f64 (neg.f64 b) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64))))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 c (/.f64 #s(literal -2 binary64) b)) a)) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 (/.f64 c b) #s(literal -2 binary64)) a)) (*.f64 #s(literal 2 binary64) a))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) b))
(/.f64 (*.f64 (-.f64 b (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) #s(literal -1/2 binary64)) a)
(/.f64 (*.f64 (-.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) b) #s(literal 1/2 binary64)) a)
Outputs
#s(approx (/ (+ (neg b) (/ (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (*.f64 (neg.f64 b) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b)))))
(/.f64 (*.f64 (-.f64 b (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) #s(literal -1/2 binary64)) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b))
Calls

1 calls:

8.0ms
b
Results
AccuracySegmentsBranch
87.0%3b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes9.0ms (0.1%)

Memory
11.9MiB live, 11.9MiB allocated
Counts
26 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 b a))
#s(approx (/ (+ (neg b) (/ (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (/.f64 c b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b))
#s(approx (/ (+ (neg b) (/ (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (/.f64 (neg.f64 c) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) a) (neg.f64 b)))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (+.f64 #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) b) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (*.f64 b b) (*.f64 b a)))
#s(approx (/ (+ (neg b) (/ (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (*.f64 (/.f64 c (*.f64 b b)) b))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 a b)))
#s(approx (/ (+ (neg b) (/ (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 b c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (/.f64 (*.f64 b b) a) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (/.f64 (*.f64 b b) b) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) a) (*.f64 a b)) (*.f64 a a)))
(/.f64 #s(approx (* (- b (sqrt (+ (* -4 (* c a)) (* b b)))) -1/2) (/.f64 (*.f64 (neg.f64 c) a) b)) a)
(/.f64 #s(approx (* (- (sqrt (+ (* -4 (* c a)) (* b b))) b) 1/2) (/.f64 (*.f64 (neg.f64 c) a) b)) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (+.f64 #s(literal 0 binary64) b)) a))
(fma.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) b) (*.f64 (/.f64 #s(literal 1/2 binary64) a) b))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a))
#s(approx (/ (+ (neg b) (/ (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (*.f64 (neg.f64 b) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64))))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 c (/.f64 #s(literal -2 binary64) b)) a)) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 (/.f64 c b) #s(literal -2 binary64)) a)) (*.f64 #s(literal 2 binary64) a))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) b))
Outputs
#s(approx (/ (+ (neg b) (/ (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (*.f64 (neg.f64 b) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b))
Calls

1 calls:

8.0ms
b
Results
AccuracySegmentsBranch
86.9%3b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes9.0ms (0.1%)

Memory
11.2MiB live, 11.2MiB allocated
Counts
25 → 2
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 b a))
#s(approx (/ (+ (neg b) (/ (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (/.f64 c b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b))
#s(approx (/ (+ (neg b) (/ (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (/.f64 (neg.f64 c) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) a) (neg.f64 b)))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (+.f64 #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) b) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (*.f64 b b) (*.f64 b a)))
#s(approx (/ (+ (neg b) (/ (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (*.f64 (/.f64 c (*.f64 b b)) b))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 a b)))
#s(approx (/ (+ (neg b) (/ (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 b c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (/.f64 (*.f64 b b) a) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (/.f64 (*.f64 b b) b) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) a) (*.f64 a b)) (*.f64 a a)))
(/.f64 #s(approx (* (- b (sqrt (+ (* -4 (* c a)) (* b b)))) -1/2) (/.f64 (*.f64 (neg.f64 c) a) b)) a)
(/.f64 #s(approx (* (- (sqrt (+ (* -4 (* c a)) (* b b))) b) 1/2) (/.f64 (*.f64 (neg.f64 c) a) b)) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (+.f64 #s(literal 0 binary64) b)) a))
(fma.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) b) (*.f64 (/.f64 #s(literal 1/2 binary64) a) b))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a))
#s(approx (/ (+ (neg b) (/ (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (*.f64 (neg.f64 b) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64))))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 c (/.f64 #s(literal -2 binary64) b)) a)) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 (/.f64 c b) #s(literal -2 binary64)) a)) (*.f64 #s(literal 2 binary64) a))
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b))
Calls

1 calls:

8.0ms
b
Results
AccuracySegmentsBranch
74.4%2b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes8.0ms (0.1%)

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

4 calls:

2.0ms
c
2.0ms
a
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
35.9%1a
35.9%1c
35.9%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))
43.5%2b
Compiler

Compiled 20 to 23 computations (-15% saved)

regimes8.0ms (0.1%)

Memory
-27.8MiB live, 10.8MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 b a))
#s(approx (/ (+ (neg b) (/ (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (/.f64 c b))
Outputs
#s(approx (/ (+ (neg b) (/ (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (/.f64 c b))
Calls

4 calls:

2.0ms
a
2.0ms
c
2.0ms
b
2.0ms
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a))
Results
AccuracySegmentsBranch
10.2%1(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a))
10.2%1c
10.2%1a
10.2%1b
Compiler

Compiled 20 to 23 computations (-15% saved)

regimes6.0ms (0.1%)

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 (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 b a))
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 b a))
Calls

4 calls:

1.0ms
b
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
Results
AccuracySegmentsBranch
2.6%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))
2.6%1c
2.6%1a
2.6%1b
Compiler

Compiled 20 to 23 computations (-15% saved)

bsearch28.0ms (0.3%)

Memory
-12.0MiB live, 26.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
predicate-same
Steps
TimeLeftRight
22.0ms
2.0946597496498664e-58
4.823381944567312e-57
2.0ms
-4.456515798900327e+151
-7.020679137293785e+149
Samples
7.0ms73×0valid
6.0ms42×1valid
3.0ms13×2valid
2.0ms30×0invalid
Compiler

Compiled 243 to 201 computations (17.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-mult: 4.0ms (30.7% of total)
ival-div: 3.0ms (23% of total)
ival-sqrt: 2.0ms (15.3% of total)
adjust: 1.0ms (7.7% of total)
ival-sub: 1.0ms (7.7% of total)
ival-add: 1.0ms (7.7% of total)
ival-neg: 1.0ms (7.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch23.0ms (0.3%)

Memory
24.0MiB live, 24.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
predicate-same
Steps
TimeLeftRight
20.0ms
1.2354384595492536e-93
3.011885607607087e-92
0.0ms
-4.456515798900327e+151
-7.020679137293785e+149
Samples
6.0ms72×0valid
4.0ms27×1valid
3.0ms32×0invalid
3.0ms13×2valid
Compiler

Compiled 180 to 180 computations (0% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 4.0ms (39.1% of total)
ival-div: 1.0ms (9.8% of total)
adjust: 1.0ms (9.8% of total)
ival-sub: 1.0ms (9.8% of total)
ival-sqrt: 1.0ms (9.8% of total)
ival-add: 1.0ms (9.8% of total)
ival-neg: 1.0ms (9.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch8.0ms (0.1%)

Memory
8.9MiB live, 8.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
1.2354384595492536e-93
3.011885607607087e-92
6.0ms
-4.630302991032922e+84
-3.6068034014851485e+84
Samples
4.0ms48×0valid
0.0ms0invalid
Compiler

Compiled 220 to 220 computations (0% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-mult: 1.0ms (36% of total)
ival-div: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-sub: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-sqrt: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-neg: 0.0ms (0% of total)

bsearch32.0ms (0.4%)

Memory
-9.5MiB live, 30.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
1.2354384595492536e-93
3.011885607607087e-92
27.0ms
-9.007936430190073e-95
-1.653411280755272e-104
Samples
13.0ms160×0valid
4.0ms53×0invalid
Compiler

Compiled 396 to 390 computations (1.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 5.0ms (44.7% of total)
ival-div: 1.0ms (8.9% of total)
ival-add: 1.0ms (8.9% of total)
ival-sub: 1.0ms (8.9% of total)
ival-sqrt: 1.0ms (8.9% of total)
ival-neg: 1.0ms (8.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch3.0ms (0%)

Memory
3.4MiB live, 3.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
1.2354384595492536e-93
3.011885607607087e-92
1.0ms
-9.007936430190073e-95
-1.653411280755272e-104
Compiler

Compiled 406 to 410 computations (-1% saved)

bsearch3.0ms (0%)

Memory
3.5MiB live, 3.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
1.2354384595492536e-93
3.011885607607087e-92
1.0ms
-9.007936430190073e-95
-1.653411280755272e-104
Compiler

Compiled 406 to 410 computations (-1% saved)

bsearch39.0ms (0.5%)

Memory
-1.1MiB live, 37.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
35.0ms
-5.243257024969356e-308
4.0444421470617834e-283
Samples
17.0ms176×0valid
9.0ms110×0invalid
Compiler

Compiled 130 to 174 computations (-33.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-mult: 7.0ms (40.5% of total)
ival-neg: 4.0ms (23.1% of total)
ival-div: 2.0ms (11.6% of total)
ival-sqrt: 2.0ms (11.6% of total)
ival-add: 1.0ms (5.8% of total)
ival-sub: 1.0ms (5.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch35.0ms (0.4%)

Memory
-4.5MiB live, 33.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
31.0ms
119055617629815.78
6.093104753182436e+23
Samples
11.0ms67×1valid
8.0ms40×2valid
4.0ms50×0valid
1.0ms15×0invalid
1.0ms3valid
Compiler

Compiled 110 to 150 computations (-36.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-mult: 5.0ms (29.2% of total)
adjust: 3.0ms (17.5% of total)
ival-sqrt: 3.0ms (17.5% of total)
ival-div: 2.0ms (11.7% of total)
ival-sub: 2.0ms (11.7% of total)
ival-add: 2.0ms (11.7% of total)
ival-neg: 1.0ms (5.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

simplify60.0ms (0.7%)

Memory
-20.5MiB live, 58.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
094642
1127642
2162642
3193640
4229640
5273640
6320640
7469640
8654640
9726640
10805640
11890640
12983640
131040640
141075640
151092640
161095640
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 b #s(literal -40000000000000000687101295488708764721572416337221820430929313780800125051127541680330506971444692730890183838174171339147724505780692024998538197860352 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)) (if (<=.f64 b #s(literal 5300541194335153/7067388259113537318333190002971674063309935587502475832486424805170479104 binary64)) (/.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) #s(literal -1/2 binary64)) a) #s(approx (/ (+ (neg b) (/ (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (*.f64 a (/.f64 c b)) (/.f64 c b) c) b)))))
(if (<=.f64 b #s(literal -40000000000000000687101295488708764721572416337221820430929313780800125051127541680330506971444692730890183838174171339147724505780692024998538197860352 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)) (if (<=.f64 b #s(literal 8807034685401875/2348542582773833227889480596789337027375682548908319870707290971532209025114608443463698998384768703031934976 binary64)) (/.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) #s(literal -1/2 binary64)) a) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b))))
(if (<=.f64 b #s(literal -3900000000000000160585906601490461632304505586827536517953216652518004148017341399040 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)) (if (<=.f64 b #s(literal 8807034685401875/2348542582773833227889480596789337027375682548908319870707290971532209025114608443463698998384768703031934976 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b))))
(if (<=.f64 b #s(literal -183186321456359/9394170331095332911557922387157348109502730195633279482829163886128836100458433773854795993539074812127739904 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 (/.f64 c b) b) b (/.f64 (neg.f64 b) a))) (if (<=.f64 b #s(literal 8807034685401875/2348542582773833227889480596789337027375682548908319870707290971532209025114608443463698998384768703031934976 binary64)) (/.f64 (*.f64 (-.f64 b (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) #s(literal -1/2 binary64)) a) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b))))
(if (<=.f64 b #s(literal -183186321456359/9394170331095332911557922387157348109502730195633279482829163886128836100458433773854795993539074812127739904 binary64)) #s(approx (/ (+ (neg b) (/ (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (*.f64 (neg.f64 b) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b))))) (if (<=.f64 b #s(literal 8807034685401875/2348542582773833227889480596789337027375682548908319870707290971532209025114608443463698998384768703031934976 binary64)) (/.f64 (*.f64 (-.f64 b (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) #s(literal -1/2 binary64)) a) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b))))
(if (<=.f64 b #s(literal -183186321456359/9394170331095332911557922387157348109502730195633279482829163886128836100458433773854795993539074812127739904 binary64)) #s(approx (/ (+ (neg b) (/ (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (*.f64 (neg.f64 b) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b))))) (if (<=.f64 b #s(literal 8807034685401875/2348542582773833227889480596789337027375682548908319870707290971532209025114608443463698998384768703031934976 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) b)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b))))
(if (<=.f64 b #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b)))
(if (<=.f64 b #s(literal 8100000000000000 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)) #s(approx (/ (+ (neg b) (/ (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (/.f64 c b)))
#s(approx (/ (+ (neg b) (/ (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (/.f64 c b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 b a))
Outputs
(if (<=.f64 b #s(literal -40000000000000000687101295488708764721572416337221820430929313780800125051127541680330506971444692730890183838174171339147724505780692024998538197860352 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)) (if (<=.f64 b #s(literal 5300541194335153/7067388259113537318333190002971674063309935587502475832486424805170479104 binary64)) (/.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) #s(literal -1/2 binary64)) a) #s(approx (/ (+ (neg b) (/ (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (*.f64 a (/.f64 c b)) (/.f64 c b) c) b)))))
(if (<=.f64 b #s(literal -40000000000000000687101295488708764721572416337221820430929313780800125051127541680330506971444692730890183838174171339147724505780692024998538197860352 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)) (if (<=.f64 b #s(literal 5300541194335153/7067388259113537318333190002971674063309935587502475832486424805170479104 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))) a) #s(approx (/ (+ (neg b) (/ (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (/.f64 (fma.f64 (*.f64 (/.f64 c b) a) (/.f64 c b) c) (neg.f64 b)))))
(if (<=.f64 b #s(literal -40000000000000000687101295488708764721572416337221820430929313780800125051127541680330506971444692730890183838174171339147724505780692024998538197860352 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)) (if (<=.f64 b #s(literal 8807034685401875/2348542582773833227889480596789337027375682548908319870707290971532209025114608443463698998384768703031934976 binary64)) (/.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) #s(literal -1/2 binary64)) a) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b))))
(if (<=.f64 b #s(literal -40000000000000000687101295488708764721572416337221820430929313780800125051127541680330506971444692730890183838174171339147724505780692024998538197860352 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)) (if (<=.f64 b #s(literal 8807034685401875/2348542582773833227889480596789337027375682548908319870707290971532209025114608443463698998384768703031934976 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))) a) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b))))
(if (<=.f64 b #s(literal -3900000000000000160585906601490461632304505586827536517953216652518004148017341399040 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)) (if (<=.f64 b #s(literal 8807034685401875/2348542582773833227889480596789337027375682548908319870707290971532209025114608443463698998384768703031934976 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b))))
(if (<=.f64 b #s(literal -3900000000000000160585906601490461632304505586827536517953216652518004148017341399040 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)) (if (<=.f64 b #s(literal 8807034685401875/2348542582773833227889480596789337027375682548908319870707290971532209025114608443463698998384768703031934976 binary64)) (*.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) (/.f64 #s(literal 1/2 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b))))
(if (<=.f64 b #s(literal -183186321456359/9394170331095332911557922387157348109502730195633279482829163886128836100458433773854795993539074812127739904 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 (/.f64 c b) b) b (/.f64 (neg.f64 b) a))) (if (<=.f64 b #s(literal 8807034685401875/2348542582773833227889480596789337027375682548908319870707290971532209025114608443463698998384768703031934976 binary64)) (/.f64 (*.f64 (-.f64 b (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) #s(literal -1/2 binary64)) a) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b))))
(if (<=.f64 b #s(literal -183186321456359/9394170331095332911557922387157348109502730195633279482829163886128836100458433773854795993539074812127739904 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 (/.f64 c b) b) b (/.f64 (neg.f64 b) a))) (if (<=.f64 b #s(literal 8807034685401875/2348542582773833227889480596789337027375682548908319870707290971532209025114608443463698998384768703031934976 binary64)) (/.f64 (*.f64 (-.f64 b (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 c a) #s(literal -4 binary64))))) #s(literal -1/2 binary64)) a) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b))))
(if (<=.f64 b #s(literal -183186321456359/9394170331095332911557922387157348109502730195633279482829163886128836100458433773854795993539074812127739904 binary64)) #s(approx (/ (+ (neg b) (/ (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (*.f64 (neg.f64 b) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b))))) (if (<=.f64 b #s(literal 8807034685401875/2348542582773833227889480596789337027375682548908319870707290971532209025114608443463698998384768703031934976 binary64)) (/.f64 (*.f64 (-.f64 b (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) #s(literal -1/2 binary64)) a) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b))))
(if (<=.f64 b #s(literal -183186321456359/9394170331095332911557922387157348109502730195633279482829163886128836100458433773854795993539074812127739904 binary64)) #s(approx (/ (+ (neg b) (/ (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (*.f64 (-.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal 1 binary64) a)) b)) (if (<=.f64 b #s(literal 8807034685401875/2348542582773833227889480596789337027375682548908319870707290971532209025114608443463698998384768703031934976 binary64)) (/.f64 (*.f64 (-.f64 b (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 c a) #s(literal -4 binary64))))) #s(literal -1/2 binary64)) a) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b))))
(if (<=.f64 b #s(literal -183186321456359/9394170331095332911557922387157348109502730195633279482829163886128836100458433773854795993539074812127739904 binary64)) #s(approx (/ (+ (neg b) (/ (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (*.f64 (neg.f64 b) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b))))) (if (<=.f64 b #s(literal 8807034685401875/2348542582773833227889480596789337027375682548908319870707290971532209025114608443463698998384768703031934976 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) b)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b))))
(if (<=.f64 b #s(literal -183186321456359/9394170331095332911557922387157348109502730195633279482829163886128836100458433773854795993539074812127739904 binary64)) #s(approx (/ (+ (neg b) (/ (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (*.f64 (-.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal 1 binary64) a)) b)) (if (<=.f64 b #s(literal 8807034685401875/2348542582773833227889480596789337027375682548908319870707290971532209025114608443463698998384768703031934976 binary64)) (*.f64 (-.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) b) (/.f64 #s(literal 1/2 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b))))
(if (<=.f64 b #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 c) b)))
(if (<=.f64 b #s(literal 8100000000000000 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)) #s(approx (/ (+ (neg b) (/ (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (/.f64 c b)))
#s(approx (/ (+ (neg b) (/ (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (/.f64 c b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 b a))

soundness1.3s (15.5%)

Memory
4.4MiB live, 597.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01451
02351
17749
253448
3686048
0815344
040235
061200
1228200
21722200
08896200
078912281
1263112068
0815811571
05453273
117383232
260703204
082353047
054511237
1174811062
2614010962
0818010475
050283
075269
1292261
22451243
09628243
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
Compiler

Compiled 528 to 284 computations (46.2% saved)

preprocess222.0ms (2.6%)

Memory
-3.4MiB live, 150.7MiB allocated
Compiler

Compiled 758 to 232 computations (69.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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