Cubic critical

Time bar (total: 10.3s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze232.0ms (2.3%)

Memory
-17.1MiB live, 260.4MiB 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 14 computations (26.3% saved)

sample1.8s (17.2%)

Memory
55.5MiB live, 2 416.0MiB allocated
Samples
532.0ms5 570×0valid
291.0ms1 343×1valid
260.0ms1 164×2valid
68.0ms927×0invalid
48.0ms179×3valid
Precisions
Click to see histograms. Total time spent on operations: 824.0ms
ival-mult: 227.0ms (27.5% of total)
ival-sqrt: 121.0ms (14.7% of total)
ival-div: 117.0ms (14.2% of total)
ival-add: 115.0ms (14% of total)
adjust: 88.0ms (10.7% of total)
ival-sub: 86.0ms (10.4% of total)
ival-neg: 52.0ms (6.3% of total)
ival-true: 8.0ms (1% of total)
exact: 6.0ms (0.7% of total)
ival-assert: 4.0ms (0.5% of total)
Bogosity

explain192.0ms (1.9%)

Memory
3.9MiB live, 367.2MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
950-2(-9.455741672408575e-216 4.949703354563516e-159 4.1430577418285e-222)(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))
620-0-(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))))
160-2(1.1792710337986409e-192 1.550455345219243e-87 3.115336369062e-210)(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
60-0-(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))
00-0-a
00-0-#s(literal 3 binary64)
00-0-(*.f64 (*.f64 #s(literal 3 binary64) a) c)
00-0-(*.f64 b b)
00-0-c
00-0-(neg.f64 b)
00-0-b
00-0-(*.f64 #s(literal 3 binary64) a)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
sqrt.f64(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))oflow-rescue890
(*.f64 b b)overflow77
(*.f64 (*.f64 #s(literal 3 binary64) a) c)overflow25
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))overflow89
+.f64(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))))cancellation620
/.f64(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))u/n130
(*.f64 (*.f64 #s(literal 3 binary64) a) c)underflow42
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))underflow4
(*.f64 b b)underflow40
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))))underflow31
-.f64(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))nan-rescue60
(*.f64 b b)overflow77
(*.f64 (*.f64 #s(literal 3 binary64) a) c)overflow25
sqrt.f64(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))uflow-rescue40
(*.f64 b b)underflow40
(*.f64 (*.f64 #s(literal 3 binary64) a) c)underflow42
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))underflow4
/.f64(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))o/n10
(*.f64 (*.f64 #s(literal 3 binary64) a) c)overflow25
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))overflow89
(*.f64 b b)overflow77
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))))overflow1
Confusion
Predicted +Predicted -
+1180
-16122
Precision
0.8805970149253731
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+11800
-160122
Precision?
0.8805970149253731
Recall?
1.0
Freqs
test
numberfreq
0122
198
231
35
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
30.0ms328×0valid
21.0ms80×1valid
20.0ms90×2valid
4.0ms14×3valid
Compiler

Compiled 156 to 40 computations (74.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 49.0ms
adjust: 11.0ms (22.6% of total)
ival-mult: 11.0ms (22.6% of total)
ival-add: 7.0ms (14.4% of total)
ival-div: 6.0ms (12.3% of total)
ival-sqrt: 6.0ms (12.3% of total)
ival-sub: 4.0ms (8.2% of total)
ival-neg: 2.0ms (4.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess173.0ms (1.7%)

Memory
-29.2MiB live, 130.5MiB allocated
Algorithm
egg-herbie
Rules
1 562×div-sub
1 088×lower-fma.f64
1 088×lower-fma.f32
996×sub-neg
712×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049158
1152144
2433144
31173144
43171144
56061144
01217
02017
13616
27316
315616
423616
537416
665016
7110316
8224116
9251016
10262116
11267616
12267716
13267716
0267715
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 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
Outputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -3 binary64)))) b) (*.f64 #s(literal 3 binary64) a))
Compiler

Compiled 20 to 12 computations (40% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
56.1%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
Compiler

Compiled 20 to 12 computations (40% saved)

simplify94.0ms (0.9%)

Memory
12.8MiB live, 92.4MiB 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 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
cost-diff128
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))
cost-diff128
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))))
Rules
1 088×lower-fma.f64
1 088×lower-fma.f32
712×lower-*.f32
706×lower-*.f64
430×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01266
02066
13664
27364
315664
423664
537464
665064
7110364
8224164
9251064
10262164
11267664
12267764
13267764
0267760
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))))
(neg.f64 b)
b
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))
(*.f64 b b)
(*.f64 (*.f64 #s(literal 3 binary64) a) c)
(*.f64 #s(literal 3 binary64) a)
#s(literal 3 binary64)
a
c
Outputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -3 binary64)))) b) (*.f64 #s(literal 3 binary64) a))
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))))
(-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -3 binary64)))) b)
(neg.f64 b)
b
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))
(sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -3 binary64))))
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))
(fma.f64 b b (*.f64 (*.f64 a c) #s(literal -3 binary64)))
(*.f64 b b)
(*.f64 (*.f64 #s(literal 3 binary64) a) c)
(*.f64 #s(literal 3 binary64) (*.f64 a c))
(*.f64 #s(literal 3 binary64) a)
#s(literal 3 binary64)
a
c

localize58.0ms (0.6%)

Memory
-7.0MiB live, 112.1MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy1.1953125000000002
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))
accuracy3.494491524526686
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
accuracy13.935882293283127
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))))
accuracy21.913569084911643
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))
Samples
20.0ms164×0valid
10.0ms45×2valid
6.0ms40×1valid
2.0ms3valid
Compiler

Compiled 68 to 14 computations (79.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-mult: 5.0ms (25.4% of total)
adjust: 3.0ms (15.2% of total)
ival-div: 3.0ms (15.2% of total)
ival-sqrt: 3.0ms (15.2% of total)
ival-sub: 2.0ms (10.1% of total)
ival-add: 2.0ms (10.1% of total)
ival-neg: 1.0ms (5.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series27.0ms (0.3%)

Memory
22.4MiB live, 59.0MiB allocated
Counts
5 → 156
Calls
Call 1
Inputs
#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())
#s(alt (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) (patch (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())
#s(alt (neg.f64 b) (patch (neg.f64 b) #<representation binary64>) () ())
#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) #<representation binary64>) () ())
Outputs
#s(alt (* (sqrt (* a c)) (sqrt -3)) (taylor 0 b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 b) (* (sqrt (* a c)) (sqrt -3))) (taylor 0 b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3))) (taylor 0 b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3))) (taylor 0 b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* -3/2 (/ (* a c) b)) (taylor inf b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) (taylor inf b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) (taylor inf b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) (taylor inf b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* -2 b) (taylor -inf b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2)))))) (taylor -inf b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) (taylor -inf b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) (taylor -inf b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* -3/2 (/ (* a c) b)) (taylor 0 a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))) (taylor 0 a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))) (taylor 0 a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))) (taylor 0 a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (* a c)) (sqrt -3)) (taylor inf a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3)))) (taylor inf a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ())
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#s(alt (+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5))))))))) (taylor 0 b) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt b (taylor inf b) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))) (taylor inf b) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) (taylor inf b) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) (taylor inf b) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (* -1 b) (taylor -inf b) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))) (taylor -inf b) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) (taylor -inf b) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) (taylor -inf b) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt b (taylor 0 a) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (+ b (* -3/2 (/ (* a c) b))) (taylor 0 a) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))) (taylor 0 a) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))) (taylor 0 a) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (* a c)) (sqrt -3)) (taylor inf a) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (taylor inf a) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))) (taylor inf a) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))) (taylor inf a) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) (taylor -inf a) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) (taylor -inf a) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) (taylor -inf a) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))) (taylor -inf a) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt b (taylor 0 c) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (+ b (* -3/2 (/ (* a c) b))) (taylor 0 c) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))) (taylor 0 c) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))) (taylor 0 c) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (* a c)) (sqrt -3)) (taylor inf c) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (taylor inf c) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))) (taylor inf c) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))) (taylor inf c) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) (taylor -inf c) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) (taylor -inf c) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) (taylor -inf c) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))) (taylor -inf c) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) #<representation binary64>) () ())) ())
Calls

39 calls:

TimeVariablePointExpression
3.0ms
a
@-inf
(/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a))
2.0ms
b
@0
(/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a))
1.0ms
a
@-inf
(sqrt (- (* b b) (* (* 3 a) c)))
1.0ms
c
@inf
(/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a))
1.0ms
b
@inf
(+ (neg b) (sqrt (- (* b b) (* (* 3 a) c))))

simplify275.0ms (2.7%)

Memory
-50.2MiB live, 494.3MiB allocated
Algorithm
egg-herbie
Rules
10 788×lower-fma.f64
10 788×lower-fma.f32
7 910×lower-*.f64
7 910×lower-*.f32
2 502×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05603466
117673443
262153400
082643230
Stop Event
iter limit
node limit
Counts
156 → 153
Calls
Call 1
Inputs
(* (sqrt (* a c)) (sqrt -3))
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -3)))
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3)))
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3)))
(* -3/2 (/ (* a c) b))
(/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
(* -2 b)
(* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -3/2 (/ (* a c) b))
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))))
(* (sqrt (* a c)) (sqrt -3))
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a)))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -3/2 (/ (* a c) b))
(* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b))))))))
(* (sqrt (* a c)) (sqrt -3))
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c)))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c)))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))
(* -3 (* a c))
(- (pow b 2) (* 3 (* a c)))
(- (pow b 2) (* 3 (* a c)))
(- (pow b 2) (* 3 (* a c)))
(pow b 2)
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(pow b 2)
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(pow b 2)
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(* -3 (* a c))
(* a (- (/ (pow b 2) a) (* 3 c)))
(* a (- (/ (pow b 2) a) (* 3 c)))
(* a (- (/ (pow b 2) a) (* 3 c)))
(* -3 (* a c))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c))))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c))))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c))))
(pow b 2)
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(* -3 (* a c))
(* c (- (/ (pow b 2) c) (* 3 a)))
(* c (- (/ (pow b 2) c) (* 3 a)))
(* c (- (/ (pow b 2) c) (* 3 a)))
(* -3 (* a c))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -3 a))))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -3 a))))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -3 a))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a)))))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a)))))
(* -1/2 (/ c b))
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -2/3 (/ b a))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))))
(* -1/2 (/ c b))
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(* -1/2 (/ c b))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* (sqrt (* a c)) (sqrt -3))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (* a c)) (sqrt -3)))
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))))
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5)))))))))
b
(* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 b)
(* -1 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
b
(+ b (* -3/2 (/ (* a c) b)))
(+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -3))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))
b
(+ b (* -3/2 (/ (* a c) b)))
(+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -3))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))
Outputs
(* (sqrt (* a c)) (sqrt -3))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -3 binary64)))
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -3)))
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -3 binary64)) (neg.f64 b))
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3)))
(fma.f64 b (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 (/.f64 b (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -3 binary64))))
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3)))
(fma.f64 b (fma.f64 b (fma.f64 #s(literal 1/24 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -3 binary64))))) #s(literal -1 binary64)) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -3 binary64))))
(* -3/2 (/ (* a c) b))
(/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b)
(/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/.f64 (fma.f64 a (*.f64 c #s(literal -3/2 binary64)) (/.f64 (*.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (*.f64 a a)) (*.f64 b b))) b)
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/.f64 (fma.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal -27/16 binary64)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b))) (fma.f64 a (*.f64 c #s(literal -3/2 binary64)) (/.f64 (*.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (*.f64 a a)) (*.f64 b b)))) b)
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
(/.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal -27/16 binary64)) (fma.f64 #s(literal -9/8 binary64) (*.f64 (*.f64 c c) (/.f64 (*.f64 a a) (*.f64 b b))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64)))) (*.f64 (*.f64 a c) #s(literal -3/2 binary64))))) b)
(* -2 b)
(*.f64 b #s(literal -2 binary64))
(* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2))))))
(neg.f64 (*.f64 b (fma.f64 (*.f64 a c) (/.f64 #s(literal -3/2 binary64) (*.f64 b b)) #s(literal 2 binary64))))
(* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(*.f64 (fma.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b b))) (fma.f64 (*.f64 a c) (/.f64 #s(literal -3/2 binary64) (*.f64 b b)) #s(literal 2 binary64))) (neg.f64 b))
(* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(*.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 6 binary64))) #s(literal -27/16 binary64)) (fma.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b b))) (fma.f64 (*.f64 a c) (/.f64 #s(literal -3/2 binary64) (*.f64 b b)) #s(literal 2 binary64)))) (neg.f64 b))
(* -3/2 (/ (* a c) b))
(/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b)
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))
(*.f64 a (fma.f64 a (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 c #s(literal -3/2 binary64)) b)))
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))
(*.f64 a (fma.f64 a (fma.f64 a (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -27/16 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 c #s(literal -3/2 binary64)) b)))
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))))
(*.f64 a (fma.f64 a (fma.f64 a (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) a)) b) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -27/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 c #s(literal -3/2 binary64)) b)))
(* (sqrt (* a c)) (sqrt -3))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -3 binary64)))
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3))))
(*.f64 a (-.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 c a))) (/.f64 b a)))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a)))
(*.f64 a (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c))))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64)))) (-.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 c a))) (/.f64 b a))))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a)))
(*.f64 a (-.f64 (fma.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (pow.f64 a #s(literal 5 binary64)))))) (sqrt.f64 #s(literal -3 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c))))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 c a))))) (/.f64 b a)))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (sqrt.f64 #s(literal 3 binary64))))
(* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (/.f64 b a)) (neg.f64 a))
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(neg.f64 (*.f64 a (-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (/.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 3 binary64)))) (neg.f64 b)) a))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/24 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (*.f64 b b))) (sqrt.f64 #s(literal 3 binary64)))) a) b) a)) (neg.f64 a))
(* -3/2 (/ (* a c) b))
(/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b)
(* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))
(*.f64 c (fma.f64 c (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)))
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))
(*.f64 c (fma.f64 c (fma.f64 (/.f64 (*.f64 a (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))) (*.f64 #s(literal -27/16 binary64) c) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)))
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b))))))))
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(*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c)))))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 (/.f64 a c))))) (neg.f64 c))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))
(*.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 (/.f64 a c))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c)))))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 #s(literal -1/24 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64)))))) (sqrt.f64 #s(literal 3 binary64)))))) (neg.f64 c))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))
(neg.f64 (*.f64 c (fma.f64 #s(literal -1/24 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64)))))) (sqrt.f64 #s(literal 3 binary64))) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 (/.f64 a c))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 7 binary64))))) (*.f64 (/.f64 (*.f64 (pow.f64 b #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 5 binary64))) #s(literal 1/16 binary64)) (*.f64 (/.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))))))))))

rewrite247.0ms (2.4%)

Memory
-3.6MiB live, 444.0MiB allocated
Rules
4 876×lower-fma.f64
4 876×lower-fma.f32
3 870×lower-*.f32
3 864×lower-*.f64
2 328×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01251
02051
17149
252548
3683648
0812544
Stop Event
iter limit
node limit
iter limit
Counts
5 → 440
Calls
Call 1
Inputs
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))))
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
(neg.f64 b)
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))
Outputs
(+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))
(+.f64 b (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))
(+.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) b)
(+.f64 #s(literal 0 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))
(+.f64 (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (neg.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))))
(+.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) #s(literal 0 binary64)) b)
(+.f64 (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) b)
(-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) b)
(-.f64 #s(literal 0 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))
(-.f64 (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (/.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))
(-.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))
(-.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) #s(literal 0 binary64)) b)
(fma.f64 b #s(literal 1 binary64) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))
(fma.f64 b #s(literal 1 binary64) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))
(fma.f64 b #s(literal -1 binary64) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))
(fma.f64 b #s(literal -1 binary64) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))
(fma.f64 b (/.f64 b (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (neg.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))))
(fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (neg.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))))
(fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) b) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))
(fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) b) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))
(fma.f64 (*.f64 b (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))
(fma.f64 (*.f64 b (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 b b)) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))
(fma.f64 #s(literal 1 binary64) b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))
(fma.f64 #s(literal 1 binary64) b (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (neg.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))))
(fma.f64 #s(literal -1 binary64) b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))
(fma.f64 #s(literal -1 binary64) b (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (neg.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (*.f64 b (*.f64 b (*.f64 b b))))) #s(literal 1/2 binary64)) b)
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (*.f64 b (*.f64 b (*.f64 b b)))))) b)
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (*.f64 b (*.f64 b (*.f64 b b)))))) b)
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) #s(literal 1/2 binary64)) b)
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (sqrt.f64 (/.f64 #s(literal -1 binary64) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) b)
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b)))) b)
(fma.f64 (pow.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) #s(literal 1/4 binary64)) b)
(fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) b)
(fma.f64 (pow.f64 b #s(literal 1/2 binary64)) (pow.f64 b #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))
(fma.f64 (pow.f64 b #s(literal 1/2 binary64)) (pow.f64 b #s(literal 1/2 binary64)) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))
(fma.f64 (/.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b)))) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (neg.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))))
(fma.f64 (/.f64 (*.f64 b b) (fma.f64 b (*.f64 b b) (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (neg.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))))
(neg.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))
(/.f64 (fma.f64 b (*.f64 b b) (*.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))
(/.f64 (fma.f64 b (*.f64 b b) (*.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (neg.f64 (neg.f64 (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))))
(/.f64 (fma.f64 b b (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))
(/.f64 (fma.f64 b (*.f64 b b) (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (neg.f64 (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))
(/.f64 (fma.f64 b b (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))
(/.f64 (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (*.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (fma.f64 (*.f64 #s(literal 9 binary64) (*.f64 a c)) (*.f64 a c) (*.f64 b (*.f64 b (*.f64 b b))))))) (*.f64 (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (fma.f64 b (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b b)) (*.f64 (*.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (fma.f64 b (*.f64 b b) (*.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))))))
(/.f64 (-.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (fma.f64 (*.f64 #s(literal 9 binary64) (*.f64 a c)) (*.f64 a c) (*.f64 b (*.f64 b (*.f64 b b)))))) (*.f64 (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (fma.f64 b (*.f64 b b) (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))))
(/.f64 (-.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (fma.f64 (*.f64 #s(literal 9 binary64) (*.f64 a c)) (*.f64 a c) (*.f64 b (*.f64 b (*.f64 b b)))))) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (fma.f64 b b (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))))
(/.f64 (*.f64 (fma.f64 b b (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (fma.f64 b b (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b)))) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (fma.f64 b b (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))
(/.f64 (fma.f64 (*.f64 b (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 (*.f64 b b) (sqrt.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))))) (*.f64 (*.f64 b b) (sqrt.f64 (fma.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (*.f64 b (*.f64 b (*.f64 b b)))))))
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b
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(exp.f64 (*.f64 (log.f64 b) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) b)
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 b b)) b)
(-.f64 (/.f64 #s(literal 0 binary64) b) b)
(fma.f64 b #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 b #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) b) #s(literal 0 binary64))
(fma.f64 (*.f64 b (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 b b)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) b #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) b #s(literal 0 binary64))
(fma.f64 (pow.f64 b #s(literal 1/2 binary64)) (pow.f64 b #s(literal 1/2 binary64)) #s(literal 0 binary64))
(neg.f64 b)
(/.f64 (*.f64 b b) b)
(/.f64 (*.f64 b (*.f64 b b)) (*.f64 b b))
(/.f64 (*.f64 b (*.f64 b b)) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 b b) #s(literal 0 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))
(/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 b b)))
(pow.f64 b #s(literal 1 binary64))
(*.f64 b #s(literal 1 binary64))
(*.f64 b #s(literal -1 binary64))
(*.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) b))
(*.f64 (*.f64 b (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 b b)))
(*.f64 #s(literal 1 binary64) b)
(*.f64 #s(literal -1 binary64) b)
(*.f64 (pow.f64 b #s(literal 1/2 binary64)) (pow.f64 b #s(literal 1/2 binary64)))
(+.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))
(fabs.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))
(sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (*.f64 b (*.f64 b (*.f64 b b))))) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (*.f64 b (*.f64 b (*.f64 b b)))))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (*.f64 b (*.f64 b (*.f64 b b)))))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (sqrt.f64 (/.f64 #s(literal -1 binary64) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b)))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 0 binary64))
(/.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (*.f64 b (*.f64 b (*.f64 b b))))) (sqrt.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b)))))))
(/.f64 (sqrt.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (sqrt.f64 (fma.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (*.f64 b (*.f64 b (*.f64 b b))))))
(/.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))))
(/.f64 (sqrt.f64 (fma.f64 #s(literal 27 binary64) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (sqrt.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))))) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (*.f64 b (*.f64 b (*.f64 b b)))))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b)))))) (neg.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b)))))
(/.f64 (fma.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) #s(literal 0 binary64)) (+.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) #s(literal 0 binary64)))))
(/.f64 (-.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) #s(literal 0 binary64)) (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) #s(literal 0 binary64)))
(pow.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) #s(literal 1 binary64))
(pow.f64 (fma.f64 (*.f64 #s(literal 9 binary64) (*.f64 a c)) (*.f64 a c) (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(*.f64 (sqrt.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (*.f64 b (*.f64 b (*.f64 b b))))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (*.f64 b (*.f64 b (*.f64 b b)))))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (*.f64 b (*.f64 b (*.f64 b b)))))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (sqrt.f64 (/.f64 #s(literal -1 binary64) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b)))))
(*.f64 (pow.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))

eval79.0ms (0.8%)

Memory
11.6MiB live, 164.6MiB allocated
Compiler

Compiled 22 670 to 2 107 computations (90.7% saved)

prune99.0ms (1%)

Memory
-1.8MiB live, 200.8MiB allocated
Pruning

17 alts after pruning (17 fresh and 0 done)

PrunedKeptTotal
New57617593
Fresh000
Picked101
Done000
Total57717594
Accuracy
94.0%
Counts
594 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
24.9%
(/.f64 (/.f64 (fma.f64 b b (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))
56.2%
(/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64))
31.6%
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 3 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))
56.2%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))
31.4%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))
33.6%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 a (*.f64 c #s(literal -3 binary64)))))) (*.f64 #s(literal 3 binary64) a))
31.6%
(/.f64 (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64)) a)
27.9%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b)) (*.f64 #s(literal 3 binary64) a))
33.7%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 b #s(literal -2 binary64))) (*.f64 #s(literal 3 binary64) a))
56.1%
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))
31.6%
(*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal 1/3 binary64))
31.6%
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64)))
56.1%
(*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))
33.4%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 a (*.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c c) (*.f64 b b))) (*.f64 c #s(literal -1/2 binary64))) b))
38.1%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))
34.1%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 b #s(literal -2/3 binary64)) a))
32.9%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 c (/.f64 #s(literal -1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)))
Compiler

Compiled 588 to 386 computations (34.4% saved)

simplify244.0ms (2.4%)

Memory
-22.1MiB live, 150.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))
cost-diff0
(*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64))
cost-diff0
(/.f64 #s(literal 1 binary64) a)
cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64)))
cost-diff0
(sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))
cost-diff0
(+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))
cost-diff0
(/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a)
cost-diff0
(*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal 1/3 binary64))
cost-diff0
(*.f64 (*.f64 a c) #s(literal -3/2 binary64))
cost-diff0
(/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b)
cost-diff0
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b))
cost-diff0
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b)) (*.f64 #s(literal 3 binary64) a))
cost-diff0
(*.f64 b #s(literal -2/3 binary64))
cost-diff0
(/.f64 (*.f64 b #s(literal -2/3 binary64)) a)
cost-diff0
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 b #s(literal -2/3 binary64)) a))
cost-diff0
(sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))
cost-diff0
(-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))
cost-diff0
(/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a)
cost-diff384
(/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64))
Rules
2 352×lower-fma.f32
2 350×lower-fma.f64
1 688×lower-*.f32
1 670×lower-*.f64
774×unsub-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
039309
060307
1108301
2213301
3449301
4790301
51462301
62702301
73909301
85011301
95198301
105228301
115245301
125247301
135253301
145273301
155281301
165281301
175385301
185589301
195621301
205621301
05621301
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64))
(/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a)
(-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))
b
(sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))
(fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))
a
(*.f64 #s(literal -3 binary64) c)
#s(literal -3 binary64)
c
(*.f64 b b)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 b #s(literal -2/3 binary64)) a))
(/.f64 (*.f64 b #s(literal -2/3 binary64)) a)
(*.f64 b #s(literal -2/3 binary64))
b
#s(literal -2/3 binary64)
a
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b)) (*.f64 #s(literal 3 binary64) a))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b))
(/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b)
(*.f64 (*.f64 a c) #s(literal -3/2 binary64))
(*.f64 a c)
a
c
#s(literal -3/2 binary64)
b
(*.f64 #s(literal 3 binary64) a)
#s(literal 3 binary64)
(*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal 1/3 binary64))
(/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a)
(+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))
b
(sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))
(fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))
a
(*.f64 #s(literal -3 binary64) c)
#s(literal -3 binary64)
c
(*.f64 b b)
#s(literal 1/3 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64)))
(/.f64 #s(literal 1 binary64) a)
#s(literal 1 binary64)
a
(*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64))
(+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))
b
(sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))
(fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))
(*.f64 #s(literal -3 binary64) c)
#s(literal -3 binary64)
c
(*.f64 b b)
#s(literal 1/3 binary64)
Outputs
(/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64))
(/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (*.f64 a #s(literal -3 binary64)))
(/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a)
(/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) a)
(-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))
(-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64))))))
b
(sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))
(sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))
(fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))
(fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64))))
a
(*.f64 #s(literal -3 binary64) c)
#s(literal -3 binary64)
c
(*.f64 b b)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 b #s(literal -2/3 binary64)) a))
(/.f64 (*.f64 b #s(literal -2/3 binary64)) a)
(*.f64 b #s(literal -2/3 binary64))
b
#s(literal -2/3 binary64)
a
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 a c) b))) (*.f64 a #s(literal 3 binary64)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 a c) b)))
(/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b)
(*.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 a c) b))
(*.f64 (*.f64 a c) #s(literal -3/2 binary64))
(*.f64 a (*.f64 c #s(literal -3/2 binary64)))
(*.f64 a c)
a
c
#s(literal -3/2 binary64)
b
(*.f64 #s(literal 3 binary64) a)
(*.f64 a #s(literal 3 binary64))
#s(literal 3 binary64)
(*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal 1/3 binary64))
(/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (*.f64 a #s(literal 3 binary64)))
(/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a)
(/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) a)
(+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))
(+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64))))))
b
(sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))
(sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))
(fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))
(fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64))))
a
(*.f64 #s(literal -3 binary64) c)
#s(literal -3 binary64)
c
(*.f64 b b)
#s(literal 1/3 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64)))
(/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (*.f64 a #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) a)
#s(literal 1 binary64)
a
(*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64))
(*.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) #s(literal 1/3 binary64))
(+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))
(+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64))))))
b
(sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))
(sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))
(fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))
(fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64))))
(*.f64 #s(literal -3 binary64) c)
#s(literal -3 binary64)
c
(*.f64 b b)
#s(literal 1/3 binary64)

localize204.0ms (2%)

Memory
16.2MiB live, 365.7MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.29296875
(*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64))
accuracy3.178640594515022
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64)))
accuracy12.485100085055585
(+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))
accuracy21.91356908491164
(sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))
accuracy0.29296875
(*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal 1/3 binary64))
accuracy3.055425137033395
(/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a)
accuracy12.485100085055585
(+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))
accuracy21.91356908491164
(sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))
accuracy0.1953125
(*.f64 (*.f64 a c) #s(literal -3/2 binary64))
accuracy3.494491524526686
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b)) (*.f64 #s(literal 3 binary64) a))
accuracy5.958467102368093
(/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b)
accuracy39.61330898845471
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b))
accuracy0.15234375
(/.f64 (*.f64 b #s(literal -2/3 binary64)) a)
accuracy0.296875
(*.f64 b #s(literal -2/3 binary64))
accuracy42.13716625898087
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 b #s(literal -2/3 binary64)) a))
accuracy0.234375
(/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64))
accuracy3.386840317579716
(/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a)
accuracy13.935882293283127
(-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))
accuracy21.91356908491164
(sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))
Samples
52.0ms79×2valid
43.0ms80×1valid
22.0ms83×0valid
11.0ms14×3valid
Compiler

Compiled 304 to 37 computations (87.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 81.0ms
ival-mult: 24.0ms (29.6% of total)
ival-div: 19.0ms (23.4% of total)
adjust: 11.0ms (13.6% of total)
ival-sqrt: 7.0ms (8.6% of total)
const: 7.0ms (8.6% of total)
ival-add: 7.0ms (8.6% of total)
ival-sub: 5.0ms (6.2% of total)
exact: 1.0ms (1.2% of total)
ival-neg: 1.0ms (1.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series58.0ms (0.6%)

Memory
16.4MiB live, 99.7MiB allocated
Counts
17 → 540
Calls
Call 1
Inputs
#s(alt (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) (patch (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) (patch (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #<representation binary64>) () ())
#s(alt (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (patch (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (patch (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 b #s(literal -2/3 binary64)) a)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 b #s(literal -2/3 binary64)) a)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 b #s(literal -2/3 binary64)) a) (patch (/.f64 (*.f64 b #s(literal -2/3 binary64)) a) #<representation binary64>) () ())
#s(alt (*.f64 b #s(literal -2/3 binary64)) (patch (*.f64 b #s(literal -2/3 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b)) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b)) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())
#s(alt #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b)) (patch #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b) (patch (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) (patch (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal 1/3 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) (patch (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #<representation binary64>) () ())
#s(alt (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (patch (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64))) (patch (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) a) (patch (/.f64 #s(literal 1 binary64) a) #<representation binary64>) () ())
#s(alt (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64)) (patch (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (taylor 0 b) (#s(alt (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) (patch (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) (taylor 0 b) (#s(alt (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) (patch (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))) (taylor 0 b) (#s(alt (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) (patch (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a))))) (taylor 0 b) (#s(alt (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) (patch (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ c b)) (taylor inf b) (#s(alt (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) (patch (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) (taylor inf b) (#s(alt (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) (patch (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b) (taylor inf b) (#s(alt (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) (patch (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) (taylor inf b) (#s(alt (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) (patch (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -2/3 (/ b a)) (taylor -inf b) (#s(alt (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) (patch (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) (taylor -inf b) (#s(alt (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) (patch (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))) (taylor -inf b) (#s(alt (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) (patch (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))) (taylor -inf b) (#s(alt (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) (patch (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ c b)) (taylor 0 a) (#s(alt (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) (patch (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) (taylor 0 a) (#s(alt (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) (patch (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) (taylor 0 a) (#s(alt (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) (patch (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (taylor inf a) (#s(alt (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) (patch (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) (taylor inf a) (#s(alt (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) (patch (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) (taylor inf a) (#s(alt (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) (patch (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (taylor -inf a) (#s(alt (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) (patch (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) (taylor -inf a) (#s(alt (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) (patch (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) #<representation binary64>) () ())) ())
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#s(alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) (taylor -inf a) (#s(alt (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) (patch (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ c b)) (taylor 0 c) (#s(alt (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) (patch (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) (patch (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) (patch (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) (patch (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (taylor inf c) (#s(alt (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) (patch (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) (taylor inf c) (#s(alt (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) (patch (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) (taylor inf c) (#s(alt (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) (patch (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) (taylor inf c) (#s(alt (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) (patch (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (taylor -inf c) (#s(alt (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) (patch (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) (taylor -inf c) (#s(alt (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) (patch (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) (taylor -inf c) (#s(alt (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) (patch (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) (taylor -inf c) (#s(alt (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) (patch (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ c a)) (sqrt -3))) (taylor 0 b) (#s(alt (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) (patch (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -3))) (/ b a)) (taylor 0 b) (#s(alt (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) (patch (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -3))) (* b (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (/ 1 a)))) (taylor 0 b) (#s(alt (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) (patch (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -3))) (* b (+ (* b (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))))) (/ 1 a)))) (taylor 0 b) (#s(alt (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) (patch (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #<representation binary64>) () ())) ())
#s(alt (* 3/2 (/ c b)) (taylor inf b) (#s(alt (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) (patch (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 9/8 (/ (* a (pow c 2)) (pow b 2))) (* 3/2 c)) b) (taylor inf b) (#s(alt (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) (patch (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 9/8 (/ (* a (pow c 2)) (pow b 2))) (+ (* 3/2 c) (* 27/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))))) b) (taylor inf b) (#s(alt (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) (patch (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 9/8 (/ (* a (pow c 2)) (pow b 2))) (+ (* 3/2 c) (* 27/16 (/ (* (pow a 2) (pow c 3)) (pow b 4)))))) b) (taylor inf b) (#s(alt (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) (patch (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ b a)) (taylor -inf b) (#s(alt (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) (patch (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (- (* 3/2 (/ c (pow b 2))) (* 2 (/ 1 a))))) (taylor -inf b) (#s(alt (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) (patch (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (- (+ (* 9/8 (/ (* a (pow c 2)) (pow b 4))) (* 3/2 (/ c (pow b 2)))) (* 2 (/ 1 a))))) (taylor -inf b) (#s(alt (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) (patch (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (- (+ (* 9/8 (/ (* a (pow c 2)) (pow b 4))) (+ (* 3/2 (/ c (pow b 2))) (* 27/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))))) (* 2 (/ 1 a))))) (taylor -inf b) (#s(alt (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) (patch (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #<representation binary64>) () ())) ())
#s(alt (* 3/2 (/ c b)) (taylor 0 a) (#s(alt (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) (patch (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #<representation binary64>) () ())) ())
#s(alt (+ (* 9/8 (/ (* a (pow c 2)) (pow b 3))) (* 3/2 (/ c b))) (taylor 0 a) (#s(alt (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) (patch (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #<representation binary64>) () ())) ())
#s(alt (+ (* 3/2 (/ c b)) (* a (+ (* 9/8 (/ (pow c 2) (pow b 3))) (* 27/16 (/ (* a (pow c 3)) (pow b 5)))))) (taylor 0 a) (#s(alt (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) (patch (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #<representation binary64>) () ())) ())
#s(alt (+ (* 3/2 (/ c b)) (* a (+ (* 9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* 1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)) (* 27/16 (/ (pow c 3) (pow b 5)))))))) (taylor 0 a) (#s(alt (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) (patch (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ c a)) (sqrt -3))) (taylor inf a) (#s(alt (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) (patch (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -3))) (/ b a)) (taylor inf a) (#s(alt (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) (patch (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (/ b a))) (taylor inf a) (#s(alt (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) (patch (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #<representation binary64>) () ())) ())
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#s(alt (* 2/3 b) (taylor inf b) (#s(alt (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64)) (patch (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* b (+ 2/3 (* -1/2 (/ (* a c) (pow b 2))))) (taylor inf b) (#s(alt (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64)) (patch (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* b (+ 2/3 (+ (* -1/2 (/ (* a c) (pow b 2))) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) (taylor inf b) (#s(alt (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64)) (patch (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* b (+ 2/3 (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ (* a c) (pow b 2))) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) (taylor inf b) (#s(alt (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64)) (patch (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* a c) b)) (taylor -inf b) (#s(alt (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64)) (patch (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1/2 (* a c)) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)) (taylor -inf b) (#s(alt (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64)) (patch (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -1/2 (* a c)) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)) (taylor -inf b) (#s(alt (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64)) (patch (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -1/2 (* a c)) (+ (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)) (taylor -inf b) (#s(alt (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64)) (patch (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2/3 b) (taylor 0 a) (#s(alt (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64)) (patch (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ (* a c) b)) (* 2/3 b)) (taylor 0 a) (#s(alt (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64)) (patch (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2/3 b) (* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))))) (taylor 0 a) (#s(alt (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64)) (patch (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2/3 b) (* a (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))))) (taylor 0 a) (#s(alt (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64)) (patch (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (taylor inf a) (#s(alt (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64)) (patch (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* 1/3 (/ b a)))) (taylor inf a) (#s(alt (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64)) (patch (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* 1/3 (/ b a))))) (taylor inf a) (#s(alt (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64)) (patch (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* 1/3 (/ b a)))))) (taylor inf a) (#s(alt (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64)) (patch (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) (taylor -inf a) (#s(alt (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64)) (patch (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) (taylor -inf a) (#s(alt (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64)) (patch (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) (taylor -inf a) (#s(alt (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64)) (patch (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* 1/3 b)) a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) (taylor -inf a) (#s(alt (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64)) (patch (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2/3 b) (taylor 0 c) (#s(alt (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64)) (patch (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ (* a c) b)) (* 2/3 b)) (taylor 0 c) (#s(alt (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64)) (patch (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2/3 b) (* c (+ (* -1/2 (/ a b)) (* -3/8 (/ (* (pow a 2) c) (pow b 3)))))) (taylor 0 c) (#s(alt (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64)) (patch (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2/3 b) (* c (+ (* -1/2 (/ a b)) (* c (+ (* -9/16 (/ (* (pow a 3) c) (pow b 5))) (* -3/8 (/ (pow a 2) (pow b 3)))))))) (taylor 0 c) (#s(alt (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64)) (patch (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (taylor inf c) (#s(alt (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64)) (patch (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* 1/3 (* (sqrt (/ a c)) (sqrt -3))) (* 1/3 (/ b c)))) (taylor inf c) (#s(alt (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64)) (patch (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (+ (* 1/3 (* (sqrt (/ a c)) (sqrt -3))) (* 1/3 (/ b c))))) (taylor inf c) (#s(alt (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64)) (patch (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (+ (* 1/3 (* (sqrt (/ a c)) (sqrt -3))) (* 1/3 (/ b c)))))) (taylor inf c) (#s(alt (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64)) (patch (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) (taylor -inf c) (#s(alt (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64)) (patch (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1/3 (/ b c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) (taylor -inf c) (#s(alt (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64)) (patch (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) (taylor -inf c) (#s(alt (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64)) (patch (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 b)) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) (taylor -inf c) (#s(alt (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64)) (patch (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
Calls

135 calls:

TimeVariablePointExpression
3.0ms
c
@-inf
(/ (* (* a c) -3/2) b)
2.0ms
c
@-inf
(/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3)
2.0ms
b
@0
(* (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) 1/3)
1.0ms
a
@0
(/ (* (* a c) -3/2) b)
1.0ms
b
@inf
(/ (* (* a c) -3/2) b)

simplify308.0ms (3%)

Memory
-7.6MiB live, 502.4MiB allocated
Algorithm
egg-herbie
Rules
9 010×lower-fma.f64
9 010×lower-fma.f32
6 846×lower-+.f64
6 846×lower-+.f32
6 420×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0109712305
1364712203
0821711655
Stop Event
iter limit
node limit
Counts
540 → 537
Calls
Call 1
Inputs
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a)))))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a)))))
(* -1/2 (/ c b))
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -2/3 (/ b a))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))))
(* -1/2 (/ c b))
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(* -1/2 (/ c b))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -3))) (/ b a))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -3))) (* b (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (/ 1 a))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -3))) (* b (+ (* b (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))))) (/ 1 a))))
(* 3/2 (/ c b))
(/ (+ (* 9/8 (/ (* a (pow c 2)) (pow b 2))) (* 3/2 c)) b)
(/ (+ (* 9/8 (/ (* a (pow c 2)) (pow b 2))) (+ (* 3/2 c) (* 27/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))))) b)
(/ (+ (* 1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 9/8 (/ (* a (pow c 2)) (pow b 2))) (+ (* 3/2 c) (* 27/16 (/ (* (pow a 2) (pow c 3)) (pow b 4)))))) b)
(* 2 (/ b a))
(* -1 (* b (- (* 3/2 (/ c (pow b 2))) (* 2 (/ 1 a)))))
(* -1 (* b (- (+ (* 9/8 (/ (* a (pow c 2)) (pow b 4))) (* 3/2 (/ c (pow b 2)))) (* 2 (/ 1 a)))))
(* -1 (* b (- (+ (* 9/8 (/ (* a (pow c 2)) (pow b 4))) (+ (* 3/2 (/ c (pow b 2))) (* 27/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))))) (* 2 (/ 1 a)))))
(* 3/2 (/ c b))
(+ (* 9/8 (/ (* a (pow c 2)) (pow b 3))) (* 3/2 (/ c b)))
(+ (* 3/2 (/ c b)) (* a (+ (* 9/8 (/ (pow c 2) (pow b 3))) (* 27/16 (/ (* a (pow c 3)) (pow b 5))))))
(+ (* 3/2 (/ c b)) (* a (+ (* 9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* 1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)) (* 27/16 (/ (pow c 3) (pow b 5))))))))
(* -1 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -3))) (/ b a))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (/ b a))))
(* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))
(+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a))
(+ (* -1 (/ (+ (* -1 b) (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(+ (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(* 3/2 (/ c b))
(* c (+ (* 9/8 (/ (* a c) (pow b 3))) (* 3/2 (/ 1 b))))
(* c (+ (* c (+ (* 9/8 (/ a (pow b 3))) (* 27/16 (/ (* (pow a 2) c) (pow b 5))))) (* 3/2 (/ 1 b))))
(* c (+ (* c (+ (* 9/8 (/ a (pow b 3))) (* c (+ (* 1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))) (* 27/16 (/ (pow a 2) (pow b 5))))))) (* 3/2 (/ 1 b))))
(* -1 (* (sqrt (/ c a)) (sqrt -3)))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (/ b (* a c))))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (/ b (* a c)))))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (/ b (* a c))))))
(* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* -1 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (/ b a)) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) c)) (/ b a)) c)))))
(* -1 (* (sqrt (* a c)) (sqrt -3)))
(- b (* (sqrt (* a c)) (sqrt -3)))
(- (* b (+ 1 (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))))) (* (sqrt (* a c)) (sqrt -3)))
(- (* b (+ 1 (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))))) (* (sqrt (* a c)) (sqrt -3)))
(* 3/2 (/ (* a c) b))
(/ (- (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -3/2 (* a c))) b)
(/ (- (* 27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (- (* 1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b)
(* 2 b)
(* -1 (* b (- (* 3/2 (/ (* a c) (pow b 2))) 2)))
(* -1 (* b (- (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -3/2 (/ (* a c) (pow b 2)))))))
(* -1 (* b (- (* 27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* 3/2 (/ (* a c) b))
(* a (- (* 9/8 (/ (* a (pow c 2)) (pow b 3))) (* -3/2 (/ c b))))
(* a (- (* a (- (* 27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))) (* -3/2 (/ c b))))
(* a (- (* a (- (* a (- (* 1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)) (* -27/16 (/ (pow c 3) (pow b 5))))) (* -9/8 (/ (pow c 2) (pow b 3))))) (* -3/2 (/ c b))))
(* -1 (* (sqrt (* a c)) (sqrt -3)))
(* a (- (/ b a) (* (sqrt (/ c a)) (sqrt -3))))
(* a (- (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (/ b a)) (* (sqrt (/ c a)) (sqrt -3))))
(* a (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (/ b a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))
(* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))
(* -1 (* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* a (- (* -1 (/ (+ b (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* a (- (* -1 (/ (+ b (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* 3/2 (/ (* a c) b))
(* c (- (* 9/8 (/ (* (pow a 2) c) (pow b 3))) (* -3/2 (/ a b))))
(* c (- (* c (- (* 27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))) (* -3/2 (/ a b))))
(* c (- (* c (- (* c (- (* 1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)) (* -27/16 (/ (pow a 3) (pow b 5))))) (* -9/8 (/ (pow a 2) (pow b 3))))) (* -3/2 (/ a b))))
(* -1 (* (sqrt (* a c)) (sqrt -3)))
(* c (- (/ b c) (* (sqrt (/ a c)) (sqrt -3))))
(* c (- (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (/ b c)) (* (sqrt (/ a c)) (sqrt -3))))
(* c (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (/ b c)) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))
(* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))
(* -1 (* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* c (- (* -1 (/ (+ b (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* c (- (* -1 (/ (+ b (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c))) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))
b
(+ b (* -3/2 (/ (* a c) b)))
(+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -3))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))
b
(+ b (* -3/2 (/ (* a c) b)))
(+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -3))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))
(* (sqrt (* a c)) (sqrt -3))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (* a c)) (sqrt -3)))
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))))
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5)))))))))
b
(* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 b)
(* -1 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a)))))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a)))))
(* -1/2 (/ c b))
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -2/3 (/ b a))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))))
(* -1/2 (/ c b))
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(* -1/2 (/ c b))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 b)
(* -2/3 b)
(* -2/3 b)
(* -2/3 b)
(* -2/3 b)
(* -2/3 b)
(* -2/3 b)
(* -2/3 b)
(* -2/3 b)
(* -2/3 b)
(* -2/3 b)
(* -2/3 b)
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a)))))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a)))))
(* -1/2 (/ c b))
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -2/3 (/ b a))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))))
(* -1/2 (/ c b))
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))
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(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))
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(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(* -1/2 (/ c b))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(* (sqrt (* a c)) (sqrt -3))
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -3)))
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3)))
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(* -3/2 (/ (* a c) b))
(/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
(* -2 b)
(* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -3/2 (/ (* a c) b))
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))))
(* (sqrt (* a c)) (sqrt -3))
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a)))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -3/2 (/ (* a c) b))
(* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b))))))))
(* (sqrt (* a c)) (sqrt -3))
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c)))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c)))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (* a c))
(* -3/2 (* a c))
(* -3/2 (* a c))
(* -3/2 (* a c))
(* -3/2 (* a c))
(* -3/2 (* a c))
(* -3/2 (* a c))
(* -3/2 (* a c))
(* -3/2 (* a c))
(* -3/2 (* a c))
(* -3/2 (* a c))
(* -3/2 (* a c))
(* -3/2 (* a c))
(* -3/2 (* a c))
(* -3/2 (* a c))
(* -3/2 (* a c))
(* -3/2 (* a c))
(* -3/2 (* a c))
(* -3/2 (* a c))
(* -3/2 (* a c))
(* -3/2 (* a c))
(* -3/2 (* a c))
(* -3/2 (* a c))
(* -3/2 (* a c))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* 1/3 (/ b a)))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a)))))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (+ (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a)))))
(* 2/3 (/ b a))
(* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))
(* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))
(* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))
(* 1/2 (/ c b))
(* -1 (/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b))
(* -1 (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b))
(* 2/3 (/ b a))
(/ (+ (* -1/2 (/ (* a c) b)) (* 2/3 b)) a)
(/ (+ (* 2/3 b) (* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))))) a)
(/ (+ (* 2/3 b) (* a (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))))) a)
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* 1/3 (/ b a)))
(+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* 1/3 (/ b a))))
(+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* 1/3 (/ b a)))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b a)))
(+ (* -1 (/ (+ (* -1/3 b) (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* -1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(* 2/3 (/ b a))
(+ (* -1/2 (/ c b)) (* 2/3 (/ b a)))
(+ (* 2/3 (/ b a)) (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))))
(+ (* 2/3 (/ b a)) (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (* 1/3 (/ b (* a c)))))
(* c (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (* 1/3 (/ b (* a c))))))
(* c (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (* 1/3 (/ b (* a c)))))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(* (sqrt (/ c a)) (sqrt -3))
(+ (* (sqrt (/ c a)) (sqrt -3)) (/ b a))
(+ (* b (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -3)))
(+ (* b (+ (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -3)))
(* 2 (/ b a))
(* b (+ (* -3/2 (/ c (pow b 2))) (* 2 (/ 1 a))))
(* b (+ (* -3/2 (/ c (pow b 2))) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 4))) (* 2 (/ 1 a)))))
(* b (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ c (pow b 2))) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 4))) (* 2 (/ 1 a))))))
(* 3/2 (/ c b))
(* -1 (/ (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2))))) b))
(* -1 (/ (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -3/2 c) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b))
(* 2 (/ b a))
(/ (+ (* -3/2 (/ (* a c) b)) (* 2 b)) a)
(/ (+ (* 2 b) (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))) a)
(/ (+ (* 2 b) (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))) a)
(* (sqrt (/ c a)) (sqrt -3))
(+ (* (sqrt (/ c a)) (sqrt -3)) (/ b a))
(+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (+ (* (sqrt (/ c a)) (sqrt -3)) (/ b a)))
(+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (+ (* (sqrt (/ c a)) (sqrt -3)) (/ b a))))
(* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (/ b a))
(+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -1 b) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)))
(+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a))) a)))
(* 2 (/ b a))
(+ (* -3/2 (/ c b)) (* 2 (/ b a)))
(+ (* 2 (/ b a)) (* c (- (* -9/8 (/ (* a c) (pow b 3))) (* 3/2 (/ 1 b)))))
(+ (* 2 (/ b a)) (* c (- (* c (+ (* -27/16 (/ (* (pow a 2) c) (pow b 5))) (* -9/8 (/ a (pow b 3))))) (* 3/2 (/ 1 b)))))
(* (sqrt (/ c a)) (sqrt -3))
(* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -3)) (/ b (* a c))))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (+ (* (sqrt (/ 1 (* a c))) (sqrt -3)) (/ b (* a c)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (+ (* (sqrt (/ 1 (* a c))) (sqrt -3)) (/ b (* a c))))))
(* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* -1 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (/ b a)) c)) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (/ b a)) c)) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))
(* (sqrt (* a c)) (sqrt -3))
(+ b (* (sqrt (* a c)) (sqrt -3)))
(+ (* b (+ 1 (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))))) (* (sqrt (* a c)) (sqrt -3)))
(+ (* b (+ 1 (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))))) (* (sqrt (* a c)) (sqrt -3)))
(* 2 b)
(* b (+ 2 (* -3/2 (/ (* a c) (pow b 2)))))
(* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* 3/2 (/ (* a c) b))
(* -1 (/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))
(* -1 (/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b))
(* 2 b)
(+ (* -3/2 (/ (* a c) b)) (* 2 b))
(+ (* 2 b) (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))))
(+ (* 2 b) (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -3))
(* a (+ (* (sqrt (/ c a)) (sqrt -3)) (/ b a)))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (+ (* (sqrt (/ c a)) (sqrt -3)) (/ b a))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (+ (* (sqrt (/ c a)) (sqrt -3)) (/ b a)))))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* a (+ (* -1 (/ (+ b (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* a (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* 2 b)
(+ (* -3/2 (/ (* a c) b)) (* 2 b))
(+ (* 2 b) (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))))
(+ (* 2 b) (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -3))
(* c (+ (* (sqrt (/ a c)) (sqrt -3)) (/ b c)))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (+ (* (sqrt (/ a c)) (sqrt -3)) (/ b c))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (+ (* (sqrt (/ a c)) (sqrt -3)) (/ b c)))))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* c (+ (* -1 (/ (+ b (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* c (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c))) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))
(* 2/3 (/ b a))
(/ (+ (* -1/2 (/ (* a c) b)) (* 2/3 b)) a)
(/ (+ (* 2/3 b) (* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))))) a)
(/ (+ (* 2/3 b) (* a (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))))) a)
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* 1/3 (/ b a)))
(+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* 1/3 (/ b a))))
(+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* 1/3 (/ b a)))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b a)))
(+ (* -1 (/ (+ (* -1/3 b) (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* -1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* 1/3 (/ b a)))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a)))))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (+ (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a)))))
(* 2/3 (/ b a))
(* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))
(* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))
(* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))
(* 1/2 (/ c b))
(* -1 (/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b))
(* -1 (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b))
(* 2/3 (/ b a))
(+ (* -1/2 (/ c b)) (* 2/3 (/ b a)))
(+ (* 2/3 (/ b a)) (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))))
(+ (* 2/3 (/ b a)) (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (* 1/3 (/ b (* a c)))))
(* c (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (* 1/3 (/ b (* a c))))))
(* c (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (* 1/3 (/ b (* a c)))))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(* 1/3 (* (sqrt (* a c)) (sqrt -3)))
(+ (* 1/3 b) (* 1/3 (* (sqrt (* a c)) (sqrt -3))))
(+ (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (* b (+ 1/3 (* 1/6 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))))))
(+ (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (* b (+ 1/3 (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))))))
(* 2/3 b)
(* b (+ 2/3 (* -1/2 (/ (* a c) (pow b 2)))))
(* b (+ 2/3 (+ (* -1/2 (/ (* a c) (pow b 2))) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 2/3 (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ (* a c) (pow b 2))) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* 1/2 (/ (* a c) b))
(* -1 (/ (+ (* -1/2 (* a c)) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -1/2 (* a c)) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))
(* -1 (/ (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -1/2 (* a c)) (+ (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b))
(* 2/3 b)
(+ (* -1/2 (/ (* a c) b)) (* 2/3 b))
(+ (* 2/3 b) (* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))))
(+ (* 2/3 b) (* a (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))))
(* 1/3 (* (sqrt (* a c)) (sqrt -3)))
(* a (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* 1/3 (/ b a))))
(* a (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* 1/3 (/ b a)))))
(* a (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* 1/3 (/ b a))))))
(* -1/3 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* a (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* a (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* 1/3 b)) a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
(* 2/3 b)
(+ (* -1/2 (/ (* a c) b)) (* 2/3 b))
(+ (* 2/3 b) (* c (+ (* -1/2 (/ a b)) (* -3/8 (/ (* (pow a 2) c) (pow b 3))))))
(+ (* 2/3 b) (* c (+ (* -1/2 (/ a b)) (* c (+ (* -9/16 (/ (* (pow a 3) c) (pow b 5))) (* -3/8 (/ (pow a 2) (pow b 3))))))))
(* 1/3 (* (sqrt (* a c)) (sqrt -3)))
(* c (+ (* 1/3 (* (sqrt (/ a c)) (sqrt -3))) (* 1/3 (/ b c))))
(* c (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (+ (* 1/3 (* (sqrt (/ a c)) (sqrt -3))) (* 1/3 (/ b c)))))
(* c (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (+ (* 1/3 (* (sqrt (/ a c)) (sqrt -3))) (* 1/3 (/ b c))))))
(* -1/3 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* -1/3 (/ b c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 b)) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))
Outputs
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64))))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 #s(literal -1/3 binary64) b) a))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a)))))
(fma.f64 b (fma.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) (/.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64)))))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a)))))
(fma.f64 b (fma.f64 b (fma.f64 #s(literal 1/6 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (sqrt.f64 #s(literal -3 binary64))) (*.f64 #s(literal -1/24 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 c (*.f64 c c))))) (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -3 binary64)))))) (/.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64)))))
(* -1/2 (/ c b))
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b)
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)
(/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)
(/.f64 (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a a)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64)))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(/.f64 (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a a)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) #s(literal 405/64 binary64)) (*.f64 a (pow.f64 b #s(literal 6 binary64)))) (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))))) b)
(* -2/3 (/ b a))
(*.f64 (/.f64 b a) #s(literal -2/3 binary64))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))
(*.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a))) (neg.f64 b))
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))))
(neg.f64 (*.f64 b (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a a)) (pow.f64 b #s(literal 6 binary64))) (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a))))))
(* -1/2 (/ c b))
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b)
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 c b) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b (*.f64 b b))))
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))
(fma.f64 a (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))
(fma.f64 a (fma.f64 a (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 a (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64))) b) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64))))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 #s(literal -1/3 binary64) b) a))
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a)))))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 #s(literal -1/3 binary64) b) a)))
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))
(fma.f64 #s(literal -1/24 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 c (*.f64 c c))))) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -3 binary64))) (fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a)))))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 #s(literal -1/3 binary64) b) a))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))))
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))
(*.f64 #s(literal -1/3 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (/.f64 b a)))
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
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(*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (*.f64 c a))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))))
(* -1 (* c (+ (* -1/3 (/ b c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))
(*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 a c))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (*.f64 #s(literal -1/3 binary64) (/.f64 b c))) (neg.f64 c))
(* -1 (* c (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))
(*.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (/.f64 a c)))) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (/.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64)))) (*.f64 #s(literal 1/3 binary64) b)) c)) (neg.f64 c))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 b)) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))
(neg.f64 (*.f64 c (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (/.f64 a c)))) (/.f64 (fma.f64 #s(literal 1/3 binary64) b (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (/.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64)))) (*.f64 #s(literal -1/24 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64)))))) (neg.f64 c))) c))))

rewrite250.0ms (2.4%)

Memory
19.0MiB live, 378.5MiB allocated
Rules
4 968×lower-fma.f32
4 966×lower-fma.f64
3 228×lower-*.f32
3 210×lower-*.f64
2 552×lower-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
039209
060207
1209201
21517201
09166201
Stop Event
iter limit
node limit
iter limit
Counts
17 → 1 245
Calls
Call 1
Inputs
(/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64))
(/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a)
(-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))
(sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 b #s(literal -2/3 binary64)) a))
(/.f64 (*.f64 b #s(literal -2/3 binary64)) a)
(*.f64 b #s(literal -2/3 binary64))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b)) (*.f64 #s(literal 3 binary64) a))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b))
(/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b)
(*.f64 (*.f64 a c) #s(literal -3/2 binary64))
(*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal 1/3 binary64))
(/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a)
(+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64)))
(/.f64 #s(literal 1 binary64) a)
(*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64))
Outputs
(+.f64 (/.f64 b (*.f64 a #s(literal -3 binary64))) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 a #s(literal -3 binary64)))))
(+.f64 (*.f64 (/.f64 b a) #s(literal -1/3 binary64)) (neg.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) a) #s(literal -1/3 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal 3 binary64))))
(-.f64 (/.f64 b (*.f64 a #s(literal -3 binary64))) (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 a #s(literal -3 binary64))))
(-.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 a #s(literal -3 binary64))) (/.f64 b (*.f64 a #s(literal -3 binary64))))
(-.f64 (*.f64 (/.f64 b a) #s(literal -1/3 binary64)) (*.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) a) #s(literal -1/3 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 a #s(literal -3 binary64))) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal 3 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 b (*.f64 b b)) (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (*.f64 a #s(literal -3 binary64))) (/.f64 (/.f64 (*.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (*.f64 a #s(literal -3 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (*.f64 a #s(literal -3 binary64))) (/.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (*.f64 a #s(literal -3 binary64))))
(-.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (/.f64 b (*.f64 a #s(literal 3 binary64))))
(-.f64 (/.f64 b (*.f64 a #s(literal 3 binary64))) (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 a #s(literal 3 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 a #s(literal 3 binary64))) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal 3 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (*.f64 a #s(literal 3 binary64))) (/.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (*.f64 a #s(literal 3 binary64))))
(-.f64 (/.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a #s(literal -3 binary64)) (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) (/.f64 (*.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (*.f64 (*.f64 a #s(literal -3 binary64)) (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))))
(-.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) (/.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))))
(-.f64 (/.f64 (/.f64 (*.f64 b (*.f64 b b)) (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (*.f64 a #s(literal 3 binary64))) (/.f64 (/.f64 (*.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (*.f64 a #s(literal 3 binary64))))
(-.f64 (/.f64 (/.f64 b a) #s(literal 3 binary64)) (/.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) a) #s(literal 3 binary64)))
(fma.f64 b (/.f64 #s(literal -1 binary64) (*.f64 a #s(literal 3 binary64))) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 a #s(literal -3 binary64)))))
(fma.f64 (/.f64 b a) #s(literal -1/3 binary64) (neg.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) a) #s(literal -1/3 binary64))))
(neg.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal 3 binary64))))
(/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal 3 binary64)))
(/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal -3 binary64)))
(/.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64))
(/.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal 3 binary64))
(/.f64 #s(literal 1/3 binary64) (/.f64 a (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a #s(literal 3 binary64)) (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (fma.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 b (*.f64 b b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (fma.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 b (*.f64 b b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) #s(literal -1/3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (fma.f64 b b (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal 3 binary64))) (fma.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 b (*.f64 b b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal 3 binary64))) (fma.f64 b b (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (/.f64 (fma.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 b (*.f64 b b))) (*.f64 a #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (/.f64 (fma.f64 b b (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 a #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) #s(literal 1/3 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))
(/.f64 (fma.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 b (*.f64 b b))) (*.f64 (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal 3 binary64))))
(/.f64 (fma.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a #s(literal 3 binary64)) (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))
(/.f64 (fma.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a #s(literal -3 binary64)) (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))
(/.f64 (fma.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 b (*.f64 b b))) (neg.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))))
(/.f64 (fma.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 b (*.f64 b b))) (neg.f64 (*.f64 (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal 3 binary64)))))
(/.f64 #s(literal -1/3 binary64) (/.f64 a (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))
(/.f64 (fma.f64 b b (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal 3 binary64))))
(/.f64 (fma.f64 b b (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))
(/.f64 (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64)) a)
(/.f64 (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64)) (neg.f64 a))
(/.f64 (/.f64 (fma.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 b (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))
(/.f64 (/.f64 (fma.f64 b b (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))
(/.f64 (-.f64 (*.f64 b (*.f64 a #s(literal -3 binary64))) (*.f64 (*.f64 a #s(literal -3 binary64)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (*.f64 #s(literal 9 binary64) (*.f64 a a)))
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(*.f64 (/.f64 (fma.f64 b b (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (fma.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))))
(*.f64 (/.f64 (fma.f64 b b (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))
(*.f64 (/.f64 (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 3 binary64)) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))
(*.f64 (/.f64 (fma.f64 b b (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))
(*.f64 (/.f64 #s(literal 1/3 binary64) (fma.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 b (*.f64 b b)))) (/.f64 (fma.f64 b b (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (/.f64 #s(literal 1 binary64) (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))))
(*.f64 (/.f64 #s(literal 1/3 binary64) (fma.f64 b b (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (/.f64 (fma.f64 b b (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))))
(*.f64 (/.f64 #s(literal 1/3 binary64) (/.f64 (fma.f64 b b (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (fma.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 b (*.f64 b b))))) (/.f64 (fma.f64 b b (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))
(*.f64 (/.f64 (fma.f64 b b (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (/.f64 (fma.f64 b b (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (fma.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 b (*.f64 b b))))) (/.f64 #s(literal 1/3 binary64) (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))

eval437.0ms (4.3%)

Memory
37.1MiB live, 404.2MiB allocated
Compiler

Compiled 70 750 to 4 286 computations (93.9% saved)

prune557.0ms (5.4%)

Memory
-25.1MiB live, 539.1MiB allocated
Pruning

31 alts after pruning (29 fresh and 2 done)

PrunedKeptTotal
New2 080242 104
Fresh7512
Picked325
Done000
Total2 090312 121
Accuracy
94.1%
Counts
2 121 → 31
Alt Table
Click to see full alt table
StatusAccuracyProgram
39.5%
(/.f64 (/.f64 (-.f64 (*.f64 b (/.f64 a (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) a) (*.f64 a (/.f64 a (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) #s(literal -3 binary64))
37.3%
(/.f64 (/.f64 (-.f64 (*.f64 b a) (*.f64 a (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (*.f64 a a)) #s(literal -3 binary64))
33.7%
(/.f64 (/.f64 (-.f64 b #s(approx (sqrt (+ (* a (* -3 c)) (* b b))) (neg.f64 b))) a) #s(literal -3 binary64))
31.6%
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 3 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))
56.2%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))
33.6%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 a (*.f64 c #s(literal -3 binary64)))))) (*.f64 #s(literal 3 binary64) a))
31.6%
(/.f64 (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64)) a)
27.9%
(/.f64 (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) #s(literal 1/3 binary64)) a)
27.9%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (/.f64 #s(literal -3/2 binary64) b) (*.f64 a c))) (*.f64 #s(literal 3 binary64) a))
31.6%
(*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal 1/3 binary64))
13.7%
(*.f64 (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) #s(literal 1/3 binary64))
31.6%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 a (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) #s(literal 1/3 binary64))
56.1%
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) b) #s(literal 1/3 binary64)))
2.5%
(*.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) 1/3) (*.f64 b #s(literal 2/3 binary64))))
56.1%
(*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))
2.3%
(*.f64 #s(approx (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) (fma.f64 (/.f64 b a) #s(literal 2 binary64) (*.f64 (/.f64 c b) #s(literal -3/2 binary64)))) #s(literal 1/3 binary64))
13.8%
(*.f64 #s(approx (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) (*.f64 (/.f64 c b) #s(literal 3/2 binary64))) #s(literal 1/3 binary64))
32.2%
#s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b))
38.1%
#s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))
32.9%
#s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)))
34.0%
#s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (*.f64 (/.f64 b a) #s(literal -2/3 binary64)))
34.1%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (/.f64 b #s(literal -3/2 binary64)) a))
34.1%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 b #s(literal -2/3 binary64)) a))
34.0%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 b (*.f64 a #s(literal -3/2 binary64))))
34.0%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -2/3 binary64) (/.f64 a b)))
34.0%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b #s(literal -2/3 binary64))))
34.0%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal -2/3 binary64) a) b))
15.6%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (exp.f64 (*.f64 (log.f64 (/.f64 a (*.f64 b #s(literal -2/3 binary64)))) #s(literal -1 binary64))))
2.5%
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (*.f64 b #s(literal 2/3 binary64)) a))
13.8%
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b))
2.2%
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (*.f64 b (fma.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a))))
Compiler

Compiled 895 to 584 computations (34.7% saved)

simplify217.0ms (2.1%)

Memory
8.0MiB live, 159.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))
cost-diff0
(/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b)
cost-diff0
#s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b))
cost-diff320
(fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64)))
cost-diff0
(/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)
cost-diff0
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b))
cost-diff0
(*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) #s(literal 1/3 binary64))
cost-diff0
(/.f64 (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) #s(literal 1/3 binary64)) a)
cost-diff0
(/.f64 c b)
cost-diff0
(*.f64 (/.f64 c b) #s(literal 3/2 binary64))
cost-diff0
#s(approx (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) (*.f64 (/.f64 c b) #s(literal 3/2 binary64)))
cost-diff0
(*.f64 #s(approx (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) (*.f64 (/.f64 c b) #s(literal 3/2 binary64))) #s(literal 1/3 binary64))
cost-diff0
(*.f64 #s(literal 1/2 binary64) c)
cost-diff0
(/.f64 (*.f64 #s(literal 1/2 binary64) c) b)
cost-diff0
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b))
cost-diff0
(sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))
cost-diff0
(neg.f64 b)
cost-diff0
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))
cost-diff128
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))))
Rules
4 776×lower-fma.f32
4 772×lower-fma.f64
2 808×lower-*.f32
2 784×lower-*.f64
1 118×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056328
083324
1147316
2269316
3524316
4938313
51511313
63088313
75888313
87497313
97995313
08024310
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))))
(neg.f64 b)
b
(sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))
(fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))
(*.f64 a #s(literal -3 binary64))
a
#s(literal -3 binary64)
c
(*.f64 b b)
(*.f64 #s(literal 3 binary64) a)
#s(literal 3 binary64)
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b))
(/.f64 (*.f64 #s(literal 1/2 binary64) c) b)
(*.f64 #s(literal 1/2 binary64) c)
#s(literal 1/2 binary64)
c
b
(*.f64 #s(approx (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) (*.f64 (/.f64 c b) #s(literal 3/2 binary64))) #s(literal 1/3 binary64))
#s(approx (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) (*.f64 (/.f64 c b) #s(literal 3/2 binary64)))
(*.f64 (/.f64 c b) #s(literal 3/2 binary64))
(/.f64 c b)
c
b
#s(literal 3/2 binary64)
#s(literal 1/3 binary64)
(/.f64 (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) #s(literal 1/3 binary64)) a)
(*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) #s(literal 1/3 binary64))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b))
(/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)
(*.f64 a (*.f64 c #s(literal -3/2 binary64)))
a
(*.f64 c #s(literal -3/2 binary64))
c
#s(literal -3/2 binary64)
b
#s(literal 1/3 binary64)
#s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b))
(/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b)
(fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64)))
#s(literal -3/8 binary64)
(/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))
(*.f64 a (*.f64 c c))
a
(*.f64 c c)
c
(*.f64 b b)
b
(*.f64 c #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
Outputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64)))
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))))
(-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) b)
(neg.f64 b)
b
(sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))
(sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))
(fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))
(fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))
(*.f64 a #s(literal -3 binary64))
a
#s(literal -3 binary64)
c
(*.f64 b b)
(*.f64 #s(literal 3 binary64) a)
(*.f64 a #s(literal 3 binary64))
#s(literal 3 binary64)
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b))
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (*.f64 c (/.f64 #s(literal 1/2 binary64) b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) c) b)
(*.f64 c (/.f64 #s(literal 1/2 binary64) b))
(*.f64 #s(literal 1/2 binary64) c)
(*.f64 c #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
c
b
(*.f64 #s(approx (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) (*.f64 (/.f64 c b) #s(literal 3/2 binary64))) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) #s(approx (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) (*.f64 c (/.f64 #s(literal 3/2 binary64) b))))
#s(approx (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) (*.f64 (/.f64 c b) #s(literal 3/2 binary64)))
#s(approx (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) (*.f64 c (/.f64 #s(literal 3/2 binary64) b)))
(*.f64 (/.f64 c b) #s(literal 3/2 binary64))
(*.f64 c (/.f64 #s(literal 3/2 binary64) b))
(/.f64 c b)
c
b
#s(literal 3/2 binary64)
#s(literal 1/3 binary64)
(/.f64 (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) #s(literal 1/3 binary64)) a)
(*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b)) (/.f64 #s(literal 1/3 binary64) a))
(*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b))
(/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)
(/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b)
(*.f64 a (*.f64 c #s(literal -3/2 binary64)))
(*.f64 c (*.f64 a #s(literal -3/2 binary64)))
a
(*.f64 c #s(literal -3/2 binary64))
c
#s(literal -3/2 binary64)
b
#s(literal 1/3 binary64)
#s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b))
#s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 (*.f64 c (fma.f64 #s(literal -3/8 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -1/2 binary64))) b))
(/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b)
(/.f64 (*.f64 c (fma.f64 #s(literal -3/8 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -1/2 binary64))) b)
(fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64)))
(*.f64 c (fma.f64 #s(literal -3/8 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -1/2 binary64)))
#s(literal -3/8 binary64)
(/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))
(*.f64 a (*.f64 c c))
a
(*.f64 c c)
c
(*.f64 b b)
b
(*.f64 c #s(literal -1/2 binary64))
#s(literal -1/2 binary64)

localize367.0ms (3.6%)

Memory
6.3MiB live, 321.9MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.48260313178661257
(/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b)
accuracy6.339558719785279
(*.f64 a (*.f64 c c))
accuracy14.634570932256967
(/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))
accuracy39.822212758959736
#s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b))
accuracy0.4480296024048812
(*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) #s(literal 1/3 binary64))
accuracy3.155730135419142
(/.f64 (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) #s(literal 1/3 binary64)) a)
accuracy5.958467102368093
(/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)
accuracy39.61330898845471
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b))
accuracy0
(/.f64 c b)
accuracy0.26171875
(*.f64 (/.f64 c b) #s(literal 3/2 binary64))
accuracy0.29296875
(*.f64 #s(approx (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) (*.f64 (/.f64 c b) #s(literal 3/2 binary64))) #s(literal 1/3 binary64))
accuracy42.33319769901391
#s(approx (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) (*.f64 (/.f64 c b) #s(literal 3/2 binary64)))
accuracy0
(/.f64 (*.f64 #s(literal 1/2 binary64) c) b)
accuracy0
(*.f64 #s(literal 1/2 binary64) c)
accuracy42.33456386965722
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b))
accuracy0.05859375
(fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))
accuracy3.494491524526686
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))
accuracy13.935882293283127
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))))
accuracy21.913569084911643
(sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))
Samples
125.0ms83×0valid
84.0ms75×2valid
42.0ms83×1valid
13.0ms15×3valid
Compiler

Compiled 277 to 52 computations (81.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 201.0ms
ival-div: 84.0ms (41.8% of total)
ival-mult: 36.0ms (17.9% of total)
ival-add: 22.0ms (10.9% of total)
ival-sqrt: 21.0ms (10.4% of total)
ival-sub: 16.0ms (8% of total)
adjust: 16.0ms (8% of total)
const: 4.0ms (2% of total)
exact: 1.0ms (0.5% of total)
ival-neg: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series61.0ms (0.6%)

Memory
20.4MiB live, 103.1MiB allocated
Counts
21 → 660
Calls
Call 1
Inputs
#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())
#s(alt (neg.f64 b) (patch (neg.f64 b) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) (patch (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) #<representation binary64>) () ())
#s(alt #s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b)) (patch #s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 #s(literal 1/2 binary64) c) b) (patch (/.f64 (*.f64 #s(literal 1/2 binary64) c) b) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 1/2 binary64) c) (patch (*.f64 #s(literal 1/2 binary64) c) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) (*.f64 (/.f64 c b) #s(literal 3/2 binary64))) #s(literal 1/3 binary64)) (patch (*.f64 #s(approx (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) (*.f64 (/.f64 c b) #s(literal 3/2 binary64))) #s(literal 1/3 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) (*.f64 (/.f64 c b) #s(literal 3/2 binary64))) (patch #s(approx (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) (*.f64 (/.f64 c b) #s(literal 3/2 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 c b) #s(literal 3/2 binary64)) (patch (*.f64 (/.f64 c b) #s(literal 3/2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 c b) (patch (/.f64 c b) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) #s(literal 1/3 binary64)) a) (patch (/.f64 (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) #s(literal 1/3 binary64)) a) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) #s(literal 1/3 binary64)) (patch (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) #s(literal 1/3 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) (patch #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b) (patch (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) (patch (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b)) (patch #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b) (patch (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (patch (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)) (patch (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)) #<representation binary64>) () ())
#s(alt (*.f64 a (*.f64 c c)) (patch (*.f64 a (*.f64 c c)) #<representation binary64>) () ())
Outputs
#s(alt (* (sqrt (* a c)) (sqrt -3)) (taylor 0 b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 b) (* (sqrt (* a c)) (sqrt -3))) (taylor 0 b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3))) (taylor 0 b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3))) (taylor 0 b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (* -3/2 (/ (* a c) b)) (taylor inf b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) (taylor inf b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) (taylor inf b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) (taylor inf b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (* -2 b) (taylor -inf b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2)))))) (taylor -inf b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) (taylor -inf b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) (taylor -inf b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (* -3/2 (/ (* a c) b)) (taylor 0 a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))) (taylor 0 a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))) (taylor 0 a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))) (taylor 0 a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (* a c)) (sqrt -3)) (taylor inf a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3)))) (taylor inf a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a))) (taylor inf a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a))) (taylor inf a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) (taylor -inf a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a)))) (taylor -inf a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) (taylor -inf a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) (taylor -inf a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (* -3/2 (/ (* a c) b)) (taylor 0 c) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))) (taylor 0 c) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))) (taylor 0 c) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) #<representation binary64>) () ())) ())
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#s(alt (/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) (taylor inf b) (#s(alt (/.f64 (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) #s(literal 1/3 binary64)) a) (patch (/.f64 (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) #s(literal 1/3 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b) (taylor inf b) (#s(alt (/.f64 (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) #s(literal 1/3 binary64)) a) (patch (/.f64 (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) #s(literal 1/3 binary64)) a) #<representation binary64>) () ())) ())
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#s(alt (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) (taylor 0 a) (#s(alt (/.f64 (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) #s(literal 1/3 binary64)) a) (patch (/.f64 (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) #s(literal 1/3 binary64)) a) #<representation binary64>) () ())) ())
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#s(alt (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) (taylor inf a) (#s(alt (/.f64 (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) #s(literal 1/3 binary64)) a) (patch (/.f64 (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) #s(literal 1/3 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) (taylor inf a) (#s(alt (/.f64 (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) #s(literal 1/3 binary64)) a) (patch (/.f64 (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) #s(literal 1/3 binary64)) a) #<representation binary64>) () ())) ())
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#s(alt (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt (/.f64 (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) #s(literal 1/3 binary64)) a) (patch (/.f64 (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) #s(literal 1/3 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt (/.f64 (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) #s(literal 1/3 binary64)) a) (patch (/.f64 (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) #s(literal 1/3 binary64)) a) #<representation binary64>) () ())) ())
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#s(alt (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (taylor inf c) (#s(alt (/.f64 (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) #s(literal 1/3 binary64)) a) (patch (/.f64 (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) #s(literal 1/3 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) (taylor inf c) (#s(alt (/.f64 (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) #s(literal 1/3 binary64)) a) (patch (/.f64 (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) #s(literal 1/3 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) (taylor inf c) (#s(alt (/.f64 (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) #s(literal 1/3 binary64)) a) (patch (/.f64 (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) #s(literal 1/3 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) (taylor inf c) (#s(alt (/.f64 (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) #s(literal 1/3 binary64)) a) (patch (/.f64 (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) #s(literal 1/3 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (taylor -inf c) (#s(alt (/.f64 (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) #s(literal 1/3 binary64)) a) (patch (/.f64 (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) #s(literal 1/3 binary64)) a) #<representation binary64>) () ())) ())
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#s(alt (* c (+ (* -1/3 (/ b c)) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ a c)) (sqrt -3)))))) (taylor inf c) (#s(alt (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) #s(literal 1/3 binary64)) (patch (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* a (pow c 2)) (taylor 0 a) (#s(alt (*.f64 a (*.f64 c c)) (patch (*.f64 a (*.f64 c c)) #<representation binary64>) () ())) ())
#s(alt (* a (pow c 2)) (taylor inf a) (#s(alt (*.f64 a (*.f64 c c)) (patch (*.f64 a (*.f64 c c)) #<representation binary64>) () ())) ())
#s(alt (* a (pow c 2)) (taylor inf a) (#s(alt (*.f64 a (*.f64 c c)) (patch (*.f64 a (*.f64 c c)) #<representation binary64>) () ())) ())
#s(alt (* a (pow c 2)) (taylor inf a) (#s(alt (*.f64 a (*.f64 c c)) (patch (*.f64 a (*.f64 c c)) #<representation binary64>) () ())) ())
#s(alt (* a (pow c 2)) (taylor inf a) (#s(alt (*.f64 a (*.f64 c c)) (patch (*.f64 a (*.f64 c c)) #<representation binary64>) () ())) ())
#s(alt (* a (pow c 2)) (taylor -inf a) (#s(alt (*.f64 a (*.f64 c c)) (patch (*.f64 a (*.f64 c c)) #<representation binary64>) () ())) ())
#s(alt (* a (pow c 2)) (taylor -inf a) (#s(alt (*.f64 a (*.f64 c c)) (patch (*.f64 a (*.f64 c c)) #<representation binary64>) () ())) ())
#s(alt (* a (pow c 2)) (taylor -inf a) (#s(alt (*.f64 a (*.f64 c c)) (patch (*.f64 a (*.f64 c c)) #<representation binary64>) () ())) ())
#s(alt (* a (pow c 2)) (taylor -inf a) (#s(alt (*.f64 a (*.f64 c c)) (patch (*.f64 a (*.f64 c c)) #<representation binary64>) () ())) ())
#s(alt (* a (pow c 2)) (taylor 0 c) (#s(alt (*.f64 a (*.f64 c c)) (patch (*.f64 a (*.f64 c c)) #<representation binary64>) () ())) ())
#s(alt (* a (pow c 2)) (taylor 0 c) (#s(alt (*.f64 a (*.f64 c c)) (patch (*.f64 a (*.f64 c c)) #<representation binary64>) () ())) ())
#s(alt (* a (pow c 2)) (taylor 0 c) (#s(alt (*.f64 a (*.f64 c c)) (patch (*.f64 a (*.f64 c c)) #<representation binary64>) () ())) ())
#s(alt (* a (pow c 2)) (taylor 0 c) (#s(alt (*.f64 a (*.f64 c c)) (patch (*.f64 a (*.f64 c c)) #<representation binary64>) () ())) ())
#s(alt (* a (pow c 2)) (taylor inf c) (#s(alt (*.f64 a (*.f64 c c)) (patch (*.f64 a (*.f64 c c)) #<representation binary64>) () ())) ())
#s(alt (* a (pow c 2)) (taylor inf c) (#s(alt (*.f64 a (*.f64 c c)) (patch (*.f64 a (*.f64 c c)) #<representation binary64>) () ())) ())
#s(alt (* a (pow c 2)) (taylor inf c) (#s(alt (*.f64 a (*.f64 c c)) (patch (*.f64 a (*.f64 c c)) #<representation binary64>) () ())) ())
#s(alt (* a (pow c 2)) (taylor inf c) (#s(alt (*.f64 a (*.f64 c c)) (patch (*.f64 a (*.f64 c c)) #<representation binary64>) () ())) ())
#s(alt (* a (pow c 2)) (taylor -inf c) (#s(alt (*.f64 a (*.f64 c c)) (patch (*.f64 a (*.f64 c c)) #<representation binary64>) () ())) ())
#s(alt (* a (pow c 2)) (taylor -inf c) (#s(alt (*.f64 a (*.f64 c c)) (patch (*.f64 a (*.f64 c c)) #<representation binary64>) () ())) ())
#s(alt (* a (pow c 2)) (taylor -inf c) (#s(alt (*.f64 a (*.f64 c c)) (patch (*.f64 a (*.f64 c c)) #<representation binary64>) () ())) ())
#s(alt (* a (pow c 2)) (taylor -inf c) (#s(alt (*.f64 a (*.f64 c c)) (patch (*.f64 a (*.f64 c c)) #<representation binary64>) () ())) ())
Calls

165 calls:

TimeVariablePointExpression
8.0ms
c
@inf
(/ c b)
5.0ms
a
@inf
(+ (neg b) (sqrt (+ (* (* a -3) c) (* b b))))
1.0ms
a
@0
(+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2))
1.0ms
b
@0
(+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2))
1.0ms
c
@0
(/ (* 1/2 c) b)

simplify348.0ms (3.4%)

Memory
-33.1MiB live, 570.8MiB allocated
Algorithm
egg-herbie
Rules
12 522×lower-fma.f64
12 522×lower-fma.f32
8 828×lower-*.f64
8 828×lower-*.f32
5 278×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089012420
1291012331
0835911789
Stop Event
iter limit
node limit
Counts
660 → 657
Calls
Call 1
Inputs
(* (sqrt (* a c)) (sqrt -3))
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -3)))
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3)))
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3)))
(* -3/2 (/ (* a c) b))
(/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
(* -2 b)
(* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -3/2 (/ (* a c) b))
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))))
(* (sqrt (* a c)) (sqrt -3))
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a)))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -3/2 (/ (* a c) b))
(* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b))))))))
(* (sqrt (* a c)) (sqrt -3))
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c)))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c)))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a)))))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a)))))
(* -1/2 (/ c b))
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -2/3 (/ b a))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))))
(* -1/2 (/ c b))
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(* -1/2 (/ c b))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
b
(+ b (* -3/2 (/ (* a c) b)))
(+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -3))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))
b
(+ b (* -3/2 (/ (* a c) b)))
(+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -3))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))
(* (sqrt (* a c)) (sqrt -3))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (* a c)) (sqrt -3)))
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))))
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5)))))))))
b
(* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 b)
(* -1 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* 1/3 (/ b a)))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a)))))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (+ (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a)))))
(* 2/3 (/ b a))
(* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))
(* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))
(* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))
(* 1/2 (/ c b))
(* -1 (/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b))
(* -1 (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b))
(* 2/3 (/ b a))
(/ (+ (* -1/2 (/ (* a c) b)) (* 2/3 b)) a)
(/ (+ (* 2/3 b) (* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))))) a)
(/ (+ (* 2/3 b) (* a (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))))) a)
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* 1/3 (/ b a)))
(+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* 1/3 (/ b a))))
(+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* 1/3 (/ b a)))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b a)))
(+ (* -1 (/ (+ (* -1/3 b) (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
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(* (sqrt (/ c a)) (sqrt -3))
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(* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
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(/ (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -1/2 (* a c)) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -1/2 (* a c)) (+ (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
(* -2/3 b)
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(* -1 (* b (+ 2/3 (+ (* -1/2 (/ (* a c) (pow b 2))) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 2/3 (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ (* a c) (pow b 2))) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -1/2 (/ (* a c) b))
(* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))))
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(* -1/3 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* a (+ (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b a)))))
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(* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* -1/3 b)) a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
(* -1/2 (/ (* a c) b))
(* c (+ (* -1/2 (/ a b)) (* -3/8 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -1/2 (/ a b)) (* c (+ (* -9/16 (/ (* (pow a 3) c) (pow b 5))) (* -3/8 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -1/2 (/ a b)) (* c (+ (* -3/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -9/16 (/ (pow a 3) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b))))))))
(* 1/3 (* (sqrt (* a c)) (sqrt -3)))
(* c (+ (* -1/3 (/ b c)) (* 1/3 (* (sqrt (/ a c)) (sqrt -3)))))
(* c (+ (* -1/3 (/ b c)) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ a c)) (sqrt -3))))))
(* c (+ (* -1/3 (/ b c)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ a c)) (sqrt -3)))))))
(* -1/3 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b c)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 b) (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 b)) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))
(* (sqrt (* a c)) (sqrt -3))
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -3)))
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3)))
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3)))
(* -3/2 (/ (* a c) b))
(/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
(* -2 b)
(* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -3/2 (/ (* a c) b))
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))))
(* (sqrt (* a c)) (sqrt -3))
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a)))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -3/2 (/ (* a c) b))
(* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b))))))))
(* (sqrt (* a c)) (sqrt -3))
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c)))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c)))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -1/2 c)
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))
(* -3/8 (/ (* a (pow c 2)) (pow b 2)))
(* a (+ (* -1/2 (/ c a)) (* -3/8 (/ (pow c 2) (pow b 2)))))
(* a (+ (* -1/2 (/ c a)) (* -3/8 (/ (pow c 2) (pow b 2)))))
(* a (+ (* -1/2 (/ c a)) (* -3/8 (/ (pow c 2) (pow b 2)))))
(* -3/8 (/ (* a (pow c 2)) (pow b 2)))
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 2))) (* 1/2 (/ c a)))))
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 2))) (* 1/2 (/ c a)))))
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 2))) (* 1/2 (/ c a)))))
(* -1/2 c)
(* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2))
(* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2))
(* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2))
(* -3/8 (/ (* a (pow c 2)) (pow b 2)))
(* (pow c 2) (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c))))
(* (pow c 2) (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c))))
(* (pow c 2) (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c))))
(* -3/8 (/ (* a (pow c 2)) (pow b 2)))
(* (pow c 2) (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c))))
(* (pow c 2) (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c))))
(* (pow c 2) (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c))))
(* -3/8 (/ (* a (pow c 2)) (pow b 2)))
(/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 2))
(/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 2))
(/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 2))
(* -1/2 c)
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))
(* -1/2 c)
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a)))))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a)))))
(* -1/2 (/ c b))
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -2/3 (/ b a))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))))
(* -1/2 (/ c b))
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(* -1/2 (/ c b))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(* -1/2 (/ c b))
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))
(* -3/8 (/ (* a (pow c 2)) (pow b 3)))
(* a (+ (* -1/2 (/ c (* a b))) (* -3/8 (/ (pow c 2) (pow b 3)))))
(* a (+ (* -1/2 (/ c (* a b))) (* -3/8 (/ (pow c 2) (pow b 3)))))
(* a (+ (* -1/2 (/ c (* a b))) (* -3/8 (/ (pow c 2) (pow b 3)))))
(* -3/8 (/ (* a (pow c 2)) (pow b 3)))
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b))))))
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b))))))
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b))))))
(* -1/2 (/ c b))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* -3/8 (/ (* a (pow c 2)) (pow b 3)))
(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))))
(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))))
(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))))
(* -3/8 (/ (* a (pow c 2)) (pow b 3)))
(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))))
(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))))
(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))))
(* -3/8 (/ (* a (pow c 2)) (pow b 3)))
(/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 3))
(/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 3))
(/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 3))
(* -1/2 (/ c b))
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)
(* -1/2 (/ c b))
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 c)) b))
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 c)) b))
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 c)) b))
(/ (* a (pow c 2)) (pow b 2))
(/ (* a (pow c 2)) (pow b 2))
(/ (* a (pow c 2)) (pow b 2))
(/ (* a (pow c 2)) (pow b 2))
(/ (* a (pow c 2)) (pow b 2))
(/ (* a (pow c 2)) (pow b 2))
(/ (* a (pow c 2)) (pow b 2))
(/ (* a (pow c 2)) (pow b 2))
(/ (* a (pow c 2)) (pow b 2))
(/ (* a (pow c 2)) (pow b 2))
(/ (* a (pow c 2)) (pow b 2))
(/ (* a (pow c 2)) (pow b 2))
(/ (* a (pow c 2)) (pow b 2))
(/ (* a (pow c 2)) (pow b 2))
(/ (* a (pow c 2)) (pow b 2))
(/ (* a (pow c 2)) (pow b 2))
(/ (* a (pow c 2)) (pow b 2))
(/ (* a (pow c 2)) (pow b 2))
(/ (* a (pow c 2)) (pow b 2))
(/ (* a (pow c 2)) (pow b 2))
(/ (* a (pow c 2)) (pow b 2))
(/ (* a (pow c 2)) (pow b 2))
(/ (* a (pow c 2)) (pow b 2))
(/ (* a (pow c 2)) (pow b 2))
(/ (* a (pow c 2)) (pow b 2))
(/ (* a (pow c 2)) (pow b 2))
(/ (* a (pow c 2)) (pow b 2))
(/ (* a (pow c 2)) (pow b 2))
(/ (* a (pow c 2)) (pow b 2))
(/ (* a (pow c 2)) (pow b 2))
(/ (* a (pow c 2)) (pow b 2))
(/ (* a (pow c 2)) (pow b 2))
(/ (* a (pow c 2)) (pow b 2))
(/ (* a (pow c 2)) (pow b 2))
(/ (* a (pow c 2)) (pow b 2))
(/ (* a (pow c 2)) (pow b 2))
(pow b 2)
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(* -3 (* a c))
(* a (+ (* -3 c) (/ (pow b 2) a)))
(* a (+ (* -3 c) (/ (pow b 2) a)))
(* a (+ (* -3 c) (/ (pow b 2) a)))
(* -3 (* a c))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))
(pow b 2)
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(* -3 (* a c))
(* c (+ (* -3 a) (/ (pow b 2) c)))
(* c (+ (* -3 a) (/ (pow b 2) c)))
(* c (+ (* -3 a) (/ (pow b 2) c)))
(* -3 (* a c))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a))))
(* -3 (* a c))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(pow b 2)
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(pow b 2)
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
Outputs
(* (sqrt (* a c)) (sqrt -3))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -3 binary64)))
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -3)))
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -3 binary64)) (neg.f64 b))
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3)))
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -3 binary64)) (*.f64 b (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 (/.f64 b (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3)))
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(/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))
(/ (* a (pow c 2)) (pow b 2))
(/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))
(/ (* a (pow c 2)) (pow b 2))
(/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))
(/ (* a (pow c 2)) (pow b 2))
(/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))
(/ (* a (pow c 2)) (pow b 2))
(/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))
(/ (* a (pow c 2)) (pow b 2))
(/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))
(/ (* a (pow c 2)) (pow b 2))
(/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))
(/ (* a (pow c 2)) (pow b 2))
(/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))
(/ (* a (pow c 2)) (pow b 2))
(/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))
(/ (* a (pow c 2)) (pow b 2))
(/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))
(/ (* a (pow c 2)) (pow b 2))
(/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))
(/ (* a (pow c 2)) (pow b 2))
(/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))
(/ (* a (pow c 2)) (pow b 2))
(/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))
(/ (* a (pow c 2)) (pow b 2))
(/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))
(/ (* a (pow c 2)) (pow b 2))
(/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))
(/ (* a (pow c 2)) (pow b 2))
(/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))
(/ (* a (pow c 2)) (pow b 2))
(/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))
(/ (* a (pow c 2)) (pow b 2))
(/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))
(/ (* a (pow c 2)) (pow b 2))
(/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))
(/ (* a (pow c 2)) (pow b 2))
(/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))
(/ (* a (pow c 2)) (pow b 2))
(/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))
(/ (* a (pow c 2)) (pow b 2))
(/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))
(/ (* a (pow c 2)) (pow b 2))
(/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))
(pow b 2)
(*.f64 b b)
(+ (* -3 (* a c)) (pow b 2))
(fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))
(+ (* -3 (* a c)) (pow b 2))
(fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))
(+ (* -3 (* a c)) (pow b 2))
(fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))
(* -3 (* a c))
(*.f64 a (*.f64 c #s(literal -3 binary64)))
(* a (+ (* -3 c) (/ (pow b 2) a)))
(*.f64 a (fma.f64 c #s(literal -3 binary64) (/.f64 (*.f64 b b) a)))
(* a (+ (* -3 c) (/ (pow b 2) a)))
(*.f64 a (fma.f64 c #s(literal -3 binary64) (/.f64 (*.f64 b b) a)))
(* a (+ (* -3 c) (/ (pow b 2) a)))
(*.f64 a (fma.f64 c #s(literal -3 binary64) (/.f64 (*.f64 b b) a)))
(* -3 (* a c))
(*.f64 a (*.f64 c #s(literal -3 binary64)))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))
(*.f64 (-.f64 (*.f64 c #s(literal 3 binary64)) (/.f64 (*.f64 b b) a)) (neg.f64 a))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))
(*.f64 (-.f64 (*.f64 c #s(literal 3 binary64)) (/.f64 (*.f64 b b) a)) (neg.f64 a))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))
(*.f64 (-.f64 (*.f64 c #s(literal 3 binary64)) (/.f64 (*.f64 b b) a)) (neg.f64 a))
(pow b 2)
(*.f64 b b)
(+ (* -3 (* a c)) (pow b 2))
(fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))
(+ (* -3 (* a c)) (pow b 2))
(fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))
(+ (* -3 (* a c)) (pow b 2))
(fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))
(* -3 (* a c))
(*.f64 a (*.f64 c #s(literal -3 binary64)))
(* c (+ (* -3 a) (/ (pow b 2) c)))
(*.f64 c (fma.f64 a #s(literal -3 binary64) (/.f64 (*.f64 b b) c)))
(* c (+ (* -3 a) (/ (pow b 2) c)))
(*.f64 c (fma.f64 a #s(literal -3 binary64) (/.f64 (*.f64 b b) c)))
(* c (+ (* -3 a) (/ (pow b 2) c)))
(*.f64 c (fma.f64 a #s(literal -3 binary64) (/.f64 (*.f64 b b) c)))
(* -3 (* a c))
(*.f64 a (*.f64 c #s(literal -3 binary64)))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a))))
(*.f64 (-.f64 (*.f64 a #s(literal 3 binary64)) (/.f64 (*.f64 b b) c)) (neg.f64 c))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a))))
(*.f64 (-.f64 (*.f64 a #s(literal 3 binary64)) (/.f64 (*.f64 b b) c)) (neg.f64 c))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a))))
(*.f64 (-.f64 (*.f64 a #s(literal 3 binary64)) (/.f64 (*.f64 b b) c)) (neg.f64 c))
(* -3 (* a c))
(*.f64 a (*.f64 c #s(literal -3 binary64)))
(+ (* -3 (* a c)) (pow b 2))
(fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))
(+ (* -3 (* a c)) (pow b 2))
(fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))
(+ (* -3 (* a c)) (pow b 2))
(fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(*.f64 b (*.f64 b (fma.f64 a (*.f64 (/.f64 c (*.f64 b b)) #s(literal -3 binary64)) #s(literal 1 binary64))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(*.f64 b (*.f64 b (fma.f64 a (*.f64 (/.f64 c (*.f64 b b)) #s(literal -3 binary64)) #s(literal 1 binary64))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(*.f64 b (*.f64 b (fma.f64 a (*.f64 (/.f64 c (*.f64 b b)) #s(literal -3 binary64)) #s(literal 1 binary64))))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(*.f64 b (*.f64 b (fma.f64 a (*.f64 (/.f64 c (*.f64 b b)) #s(literal -3 binary64)) #s(literal 1 binary64))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(*.f64 b (*.f64 b (fma.f64 a (*.f64 (/.f64 c (*.f64 b b)) #s(literal -3 binary64)) #s(literal 1 binary64))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(*.f64 b (*.f64 b (fma.f64 a (*.f64 (/.f64 c (*.f64 b b)) #s(literal -3 binary64)) #s(literal 1 binary64))))
(* a (pow c 2))
(*.f64 a (*.f64 c c))
(* a (pow c 2))
(*.f64 a (*.f64 c c))
(* a (pow c 2))
(*.f64 a (*.f64 c c))
(* a (pow c 2))
(*.f64 a (*.f64 c c))
(* a (pow c 2))
(*.f64 a (*.f64 c c))
(* a (pow c 2))
(*.f64 a (*.f64 c c))
(* a (pow c 2))
(*.f64 a (*.f64 c c))
(* a (pow c 2))
(*.f64 a (*.f64 c c))
(* a (pow c 2))
(*.f64 a (*.f64 c c))
(* a (pow c 2))
(*.f64 a (*.f64 c c))
(* a (pow c 2))
(*.f64 a (*.f64 c c))
(* a (pow c 2))
(*.f64 a (*.f64 c c))
(* a (pow c 2))
(*.f64 a (*.f64 c c))
(* a (pow c 2))
(*.f64 a (*.f64 c c))
(* a (pow c 2))
(*.f64 a (*.f64 c c))
(* a (pow c 2))
(*.f64 a (*.f64 c c))
(* a (pow c 2))
(*.f64 a (*.f64 c c))
(* a (pow c 2))
(*.f64 a (*.f64 c c))
(* a (pow c 2))
(*.f64 a (*.f64 c c))
(* a (pow c 2))
(*.f64 a (*.f64 c c))
(* a (pow c 2))
(*.f64 a (*.f64 c c))
(* a (pow c 2))
(*.f64 a (*.f64 c c))
(* a (pow c 2))
(*.f64 a (*.f64 c c))
(* a (pow c 2))
(*.f64 a (*.f64 c c))

rewrite336.0ms (3.3%)

Memory
12.1MiB live, 508.0MiB allocated
Rules
5 116×lower-/.f32
5 102×lower-/.f64
4 864×lower-fma.f32
4 860×lower-fma.f64
4 610×lower-*.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
056280
083276
1302268
21985260
08577260
Stop Event
iter limit
node limit
iter limit
Counts
21 → 757
Calls
Call 1
Inputs
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))
(neg.f64 b)
(sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b))
(/.f64 (*.f64 #s(literal 1/2 binary64) c) b)
(*.f64 #s(literal 1/2 binary64) c)
(*.f64 #s(approx (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) (*.f64 (/.f64 c b) #s(literal 3/2 binary64))) #s(literal 1/3 binary64))
#s(approx (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) (*.f64 (/.f64 c b) #s(literal 3/2 binary64)))
(*.f64 (/.f64 c b) #s(literal 3/2 binary64))
(/.f64 c b)
(/.f64 (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) #s(literal 1/3 binary64)) a)
(*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) #s(literal 1/3 binary64))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b))
(/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)
(fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64)))
#s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b))
(/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b)
(/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))
(fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))
(*.f64 a (*.f64 c c))
Outputs
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))))
(+.f64 (neg.f64 b) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))))))
(+.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) (neg.f64 b))
(-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b)
(-.f64 #s(literal 0 binary64) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))))
(-.f64 (/.f64 (*.f64 b (*.f64 b b)) (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))))) (/.f64 (*.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))) (neg.f64 (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))))))
(-.f64 (/.f64 (*.f64 b b) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))))) (/.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))))))
(-.f64 (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) #s(literal 0 binary64)) b)
(-.f64 (/.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) (neg.f64 b))) (/.f64 (*.f64 b b) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) (neg.f64 b))))
(fma.f64 b #s(literal -1 binary64) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))))
(fma.f64 b #s(literal -1 binary64) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))))))
(fma.f64 (neg.f64 (*.f64 b b)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) b)) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))))
(fma.f64 (neg.f64 (*.f64 b b)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) b)) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))))))
(fma.f64 #s(literal -1 binary64) b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))))
(fma.f64 #s(literal -1 binary64) b (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))))))
(fma.f64 (sqrt.f64 (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 (*.f64 a c) (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (*.f64 b b))) #s(literal 1/2 binary64)) (neg.f64 b))
(fma.f64 (sqrt.f64 (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 (*.f64 a c) (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (*.f64 b b)))) (neg.f64 b))
(fma.f64 (sqrt.f64 (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 (*.f64 a c) (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (*.f64 b b)))) (neg.f64 b))
(fma.f64 (sqrt.f64 (fma.f64 (*.f64 c (*.f64 c c)) (*.f64 #s(literal 27 binary64) (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -3 binary64) c))) (*.f64 #s(literal 9 binary64) (*.f64 (*.f64 a c) (*.f64 a c))))) #s(literal 1/2 binary64)) (neg.f64 b))
(fma.f64 (sqrt.f64 (fma.f64 (*.f64 c (*.f64 c c)) (*.f64 #s(literal 27 binary64) (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 c (*.f64 a #s(literal 3 binary64))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 3 binary64))))))) #s(literal 1/2 binary64)) (neg.f64 b))
(fma.f64 (sqrt.f64 (fma.f64 (*.f64 c (*.f64 c c)) (*.f64 #s(literal 27 binary64) (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -3 binary64) c))) (*.f64 #s(literal 9 binary64) (*.f64 (*.f64 a c) (*.f64 a c)))))) (neg.f64 b))
(fma.f64 (sqrt.f64 (fma.f64 (*.f64 c (*.f64 c c)) (*.f64 #s(literal 27 binary64) (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 c (*.f64 a #s(literal 3 binary64))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 3 binary64)))))))) (neg.f64 b))
(fma.f64 (sqrt.f64 (fma.f64 (*.f64 c (*.f64 c c)) (*.f64 #s(literal 27 binary64) (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -3 binary64) c))) (*.f64 #s(literal 9 binary64) (*.f64 (*.f64 a c) (*.f64 a c)))))) (neg.f64 b))
(fma.f64 (sqrt.f64 (fma.f64 (*.f64 c (*.f64 c c)) (*.f64 #s(literal 27 binary64) (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 c (*.f64 a #s(literal 3 binary64))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 3 binary64)))))))) (neg.f64 b))
(fma.f64 (sqrt.f64 (*.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal 3 binary64)))) (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 3 binary64))))) #s(literal 1/2 binary64)) (neg.f64 b))
(fma.f64 (sqrt.f64 (*.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal 3 binary64)))) (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 3 binary64)))))) (neg.f64 b))
(fma.f64 (sqrt.f64 (*.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal 3 binary64)))) (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal 3 binary64)))))) (neg.f64 b))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 b b (*.f64 #s(literal 0 binary64) b)))) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 b b (*.f64 #s(literal 0 binary64) b)))) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))))))
(fma.f64 (pow.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))) #s(literal 1/4 binary64)) (neg.f64 b))
(fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))) (sqrt.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))) (neg.f64 b))
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(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 (*.f64 a c) (*.f64 a c))) (-.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (*.f64 b b))) (*.f64 (-.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (*.f64 b b)) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 (-.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (*.f64 b b)) (-.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (*.f64 b b))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 c (*.f64 c c)) (*.f64 #s(literal 27 binary64) (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))))) (neg.f64 (neg.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 c (*.f64 a #s(literal 3 binary64))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 3 binary64)))))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 c (*.f64 c c)) (*.f64 #s(literal 27 binary64) (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -3 binary64) c))) (*.f64 #s(literal 9 binary64) (*.f64 (*.f64 a c) (*.f64 a c)))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal 3 binary64)))) (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))))) (neg.f64 (neg.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal 3 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 (*.f64 a c) (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b)))))) (neg.f64 (neg.f64 (-.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (*.f64 b b)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 c (*.f64 a #s(literal 3 binary64))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 3 binary64))))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c c)) (*.f64 #s(literal 27 binary64) (*.f64 a (*.f64 a a)))) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 c (*.f64 a #s(literal 3 binary64))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 3 binary64))))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 c (*.f64 a #s(literal 3 binary64))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 3 binary64))))))) (/.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 c (*.f64 a #s(literal 3 binary64))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 3 binary64))))))) (fma.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c c)) (*.f64 #s(literal 27 binary64) (*.f64 a (*.f64 a a)))) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 c (*.f64 a #s(literal 3 binary64))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 3 binary64))))))) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) (*.f64 #s(literal 27 binary64) (*.f64 a (*.f64 a a)))) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 c (*.f64 a #s(literal 3 binary64))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 3 binary64))))))) (*.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 c (*.f64 a #s(literal 3 binary64))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 3 binary64))))))) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) (*.f64 #s(literal 27 binary64) (*.f64 a (*.f64 a a)))) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 c (*.f64 a #s(literal 3 binary64))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 3 binary64)))))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 3 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 (*.f64 a c) (*.f64 a c))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 3 binary64))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 3 binary64))))) (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 3 binary64))))) (fma.f64 (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 (*.f64 a c) (*.f64 a c))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 3 binary64))))) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 (*.f64 a c) (*.f64 a c))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 3 binary64))))) (*.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 3 binary64))))) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 (*.f64 a c) (*.f64 a c))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 3 binary64)))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 (*.f64 a c) (*.f64 a c))) (-.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (*.f64 b b))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (-.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (*.f64 b b))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 (*.f64 a c) (*.f64 a c))) (-.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (*.f64 b b))) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 (*.f64 a c) (*.f64 a c))) (-.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (*.f64 b b))) (fma.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (-.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (*.f64 b b))) (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (-.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (*.f64 b b))) (*.f64 (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 (*.f64 a c) (*.f64 a c))) (-.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (*.f64 b b))) (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (-.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (*.f64 b b)))))))
(pow.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) #s(literal 2 binary64))
(pow.f64 (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))) #s(literal 2 binary64))
(pow.f64 (*.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))) (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) #s(literal -1 binary64))
(*.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))))
(*.f64 (fma.f64 (*.f64 c (*.f64 c c)) (*.f64 #s(literal 27 binary64) (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 c (*.f64 a #s(literal 3 binary64))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 3 binary64))))))))
(*.f64 (fma.f64 (*.f64 c (*.f64 c c)) (*.f64 #s(literal 27 binary64) (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -3 binary64) c))) (*.f64 #s(literal 9 binary64) (*.f64 (*.f64 a c) (*.f64 a c))))))
(*.f64 (fma.f64 (*.f64 c (*.f64 c c)) (*.f64 #s(literal 27 binary64) (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b (*.f64 b b)) (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 (*.f64 a c) (*.f64 a c))) (*.f64 (*.f64 a #s(literal -3 binary64)) (*.f64 c (*.f64 b b)))))))
(*.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))
(*.f64 (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))) (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))))
(*.f64 (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 (*.f64 a c) (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (*.f64 b b))))
(*.f64 (*.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal 3 binary64)))) (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 3 binary64))))))
(*.f64 (*.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal 3 binary64)))) (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -3 binary64) c)))))
(*.f64 (neg.f64 (fma.f64 (*.f64 c (*.f64 c c)) (*.f64 #s(literal 27 binary64) (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 c (*.f64 a #s(literal 3 binary64))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 3 binary64)))))))))
(*.f64 (neg.f64 (fma.f64 (*.f64 c (*.f64 c c)) (*.f64 #s(literal 27 binary64) (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -3 binary64) c))) (*.f64 #s(literal 9 binary64) (*.f64 (*.f64 a c) (*.f64 a c)))))))
(*.f64 (neg.f64 (*.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal 3 binary64)))) (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal 3 binary64)))))))
(*.f64 (neg.f64 (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 (*.f64 a c) (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (*.f64 b b)))))
(*.f64 (pow.f64 (fma.f64 (*.f64 c (*.f64 c c)) (*.f64 #s(literal 27 binary64) (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -3 binary64) c))) (*.f64 #s(literal 9 binary64) (*.f64 (*.f64 a c) (*.f64 a c))))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fma.f64 (*.f64 c (*.f64 c c)) (*.f64 #s(literal 27 binary64) (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 c (*.f64 a #s(literal 3 binary64))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 3 binary64))))))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 (*.f64 a c) (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (*.f64 b b))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal 3 binary64)))) (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 3 binary64))))) #s(literal 1 binary64)))
(*.f64 a (*.f64 c c))
(*.f64 c (*.f64 a c))
(*.f64 (*.f64 c c) a)
(*.f64 (*.f64 a c) c)

eval181.0ms (1.8%)

Memory
21.0MiB live, 435.2MiB allocated
Compiler

Compiled 38 544 to 3 386 computations (91.2% saved)

prune263.0ms (2.6%)

Memory
-4.1MiB live, 483.8MiB allocated
Pruning

33 alts after pruning (28 fresh and 5 done)

PrunedKeptTotal
New1 404101 414
Fresh61824
Picked235
Done022
Total1 412331 445
Accuracy
94.1%
Counts
1 445 → 33
Alt Table
Click to see full alt table
StatusAccuracyProgram
37.3%
(/.f64 (/.f64 (-.f64 (*.f64 b a) (*.f64 a (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (*.f64 a a)) #s(literal -3 binary64))
33.7%
(/.f64 (/.f64 (-.f64 b #s(approx (sqrt (+ (* a (* -3 c)) (* b b))) (neg.f64 b))) a) #s(literal -3 binary64))
31.6%
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 3 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))
26.8%
(/.f64 (-.f64 (*.f64 b b) (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) (*.f64 (*.f64 a #s(literal -3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))))))
56.2%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))
33.6%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 a (*.f64 c #s(literal -3 binary64)))))) (*.f64 #s(literal 3 binary64) a))
56.1%
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a)
27.9%
(/.f64 (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 a c) (/.f64 #s(literal -3/2 binary64) b))) #s(literal 1/3 binary64)) a)
31.6%
(*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal 1/3 binary64))
13.7%
(*.f64 (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) #s(literal 1/3 binary64))
31.6%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 a (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) #s(literal 1/3 binary64))
56.0%
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)))
2.5%
(*.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) 1/3) (*.f64 b #s(literal 2/3 binary64))))
56.1%
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b))
29.5%
(*.f64 (*.f64 (-.f64 (*.f64 b b) (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) (/.f64 #s(literal 1/3 binary64) a)) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))))))
13.8%
(*.f64 #s(approx (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b c) #s(literal 3/2 binary64)))) #s(literal 1/3 binary64))
13.8%
(*.f64 #s(approx (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) (*.f64 (/.f64 c b) #s(literal 3/2 binary64))) #s(literal 1/3 binary64))
13.8%
(*.f64 #s(approx (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) (*.f64 c (*.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 3/2 binary64)))) #s(literal 1/3 binary64))
27.9%
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 #s(literal -3/2 binary64) (*.f64 a c)) b)) a))
38.1%
#s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))
37.8%
#s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b))
32.9%
#s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)))
34.0%
#s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (*.f64 (/.f64 b a) #s(literal -2/3 binary64)))
34.1%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (/.f64 b #s(literal -3/2 binary64)) a))
34.1%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 b #s(literal -2/3 binary64)) a))
34.0%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 b (*.f64 a #s(literal -3/2 binary64))))
34.0%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -2/3 binary64) (/.f64 a b)))
34.0%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b #s(literal -2/3 binary64))))
34.0%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal -2/3 binary64) a) b))
15.6%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (exp.f64 (*.f64 (log.f64 (/.f64 a (*.f64 b #s(literal -2/3 binary64)))) #s(literal -1 binary64))))
2.5%
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (*.f64 b #s(literal 2/3 binary64)) a))
13.8%
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b))
2.2%
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (*.f64 b (fma.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a))))
Compiler

Compiled 936 to 609 computations (34.9% saved)

simplify225.0ms (2.2%)

Memory
-9.9MiB live, 136.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))
cost-diff0
#s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64))))
cost-diff0
(/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)
cost-diff0
#s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b))
cost-diff0
(/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)
cost-diff0
#s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b))
cost-diff0
(/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a)
cost-diff0
(*.f64 (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) #s(literal 1/3 binary64))
cost-diff0
(*.f64 b #s(literal 2/3 binary64))
cost-diff0
#s(approx (* (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) 1/3) (*.f64 b #s(literal 2/3 binary64)))
cost-diff0
(/.f64 #s(literal 1 binary64) a)
cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) 1/3) (*.f64 b #s(literal 2/3 binary64))))
cost-diff0
(*.f64 b #s(literal 2/3 binary64))
cost-diff0
(/.f64 (*.f64 b #s(literal 2/3 binary64)) a)
cost-diff0
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (*.f64 b #s(literal 2/3 binary64)) a))
cost-diff0
(sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))
cost-diff0
(-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b)
cost-diff0
(*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64))
cost-diff0
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a)
Rules
4 640×lower-fma.f32
4 636×lower-fma.f64
3 558×lower-*.f32
3 536×lower-*.f64
1 508×times-frac
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
055385
078381
1148379
2283367
3555367
4766367
51021367
61449367
73593367
84886367
96104367
106683367
116952367
127108367
137454367
147717367
157866367
08057367
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a)
(*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64))
(-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b)
(sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))
(fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))
b
(*.f64 a (*.f64 #s(literal -3 binary64) c))
a
(*.f64 #s(literal -3 binary64) c)
#s(literal -3 binary64)
c
#s(literal 1/3 binary64)
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (*.f64 b #s(literal 2/3 binary64)) a))
(/.f64 (*.f64 b #s(literal 2/3 binary64)) a)
(*.f64 b #s(literal 2/3 binary64))
b
#s(literal 2/3 binary64)
a
(*.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) 1/3) (*.f64 b #s(literal 2/3 binary64))))
(/.f64 #s(literal 1 binary64) a)
#s(literal 1 binary64)
a
#s(approx (* (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) 1/3) (*.f64 b #s(literal 2/3 binary64)))
(*.f64 b #s(literal 2/3 binary64))
b
#s(literal 2/3 binary64)
(*.f64 (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) #s(literal 1/3 binary64))
(/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a)
#s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b))
(/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)
(*.f64 (*.f64 c a) #s(literal 3/2 binary64))
(*.f64 c a)
c
a
#s(literal 3/2 binary64)
b
#s(literal 1/3 binary64)
#s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b))
(/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)
#s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64))))
(*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))
c
(fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64))
(*.f64 a (/.f64 c (*.f64 b b)))
a
(/.f64 c (*.f64 b b))
(*.f64 b b)
b
#s(literal -3/8 binary64)
#s(literal -1/2 binary64)
Outputs
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a)
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) (*.f64 a #s(literal 3 binary64)))
(*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64))
(*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 1/3 binary64))
(-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b)
(-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b)
(sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))
(sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))
(fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))
(fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))
b
(*.f64 a (*.f64 #s(literal -3 binary64) c))
(*.f64 #s(literal -3 binary64) (*.f64 a c))
a
(*.f64 #s(literal -3 binary64) c)
#s(literal -3 binary64)
c
#s(literal 1/3 binary64)
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (*.f64 b #s(literal 2/3 binary64)) a))
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (*.f64 b (/.f64 #s(literal 2/3 binary64) a)))
(/.f64 (*.f64 b #s(literal 2/3 binary64)) a)
(*.f64 b (/.f64 #s(literal 2/3 binary64) a))
(*.f64 b #s(literal 2/3 binary64))
b
#s(literal 2/3 binary64)
a
(*.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) 1/3) (*.f64 b #s(literal 2/3 binary64))))
(/.f64 #s(approx (* (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) 1/3) (*.f64 b #s(literal 2/3 binary64))) a)
(/.f64 #s(literal 1 binary64) a)
#s(literal 1 binary64)
a
#s(approx (* (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) 1/3) (*.f64 b #s(literal 2/3 binary64)))
(*.f64 b #s(literal 2/3 binary64))
b
#s(literal 2/3 binary64)
(*.f64 (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) #s(literal 1/3 binary64))
(/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (*.f64 c (/.f64 (*.f64 a #s(literal 3/2 binary64)) b))) (*.f64 a #s(literal 3 binary64)))
(/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a)
(/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (*.f64 c (/.f64 (*.f64 a #s(literal 3/2 binary64)) b))) a)
#s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b))
#s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (*.f64 c (/.f64 (*.f64 a #s(literal 3/2 binary64)) b)))
(/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)
(*.f64 c (/.f64 (*.f64 a #s(literal 3/2 binary64)) b))
(*.f64 (*.f64 c a) #s(literal 3/2 binary64))
(*.f64 a (*.f64 c #s(literal 3/2 binary64)))
(*.f64 c a)
(*.f64 a c)
c
a
#s(literal 3/2 binary64)
b
#s(literal 1/3 binary64)
#s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b))
#s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 a (*.f64 #s(literal -3/8 binary64) (/.f64 c (*.f64 b b))) #s(literal -1/2 binary64)))) b))
(/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)
(/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 a (*.f64 #s(literal -3/8 binary64) (/.f64 c (*.f64 b b))) #s(literal -1/2 binary64)))) b)
#s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64))))
#s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 a (*.f64 #s(literal -3/8 binary64) (/.f64 c (*.f64 b b))) #s(literal -1/2 binary64))))
(*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))
(*.f64 c (fma.f64 a (*.f64 #s(literal -3/8 binary64) (/.f64 c (*.f64 b b))) #s(literal -1/2 binary64)))
c
(fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64))
(fma.f64 a (*.f64 #s(literal -3/8 binary64) (/.f64 c (*.f64 b b))) #s(literal -1/2 binary64))
(*.f64 a (/.f64 c (*.f64 b b)))
a
(/.f64 c (*.f64 b b))
(*.f64 b b)
b
#s(literal -3/8 binary64)
#s(literal -1/2 binary64)

localize232.0ms (2.3%)

Memory
-21.0MiB live, 351.4MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy1.8762706118303611
(*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))
accuracy4.8075045310803874
(*.f64 a (/.f64 c (*.f64 b b)))
accuracy6.102183416842993
(/.f64 c (*.f64 b b))
accuracy39.822212758959736
#s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b))
accuracy0.29296875
(*.f64 (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) #s(literal 1/3 binary64))
accuracy3.055425137033395
(/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a)
accuracy5.958467102368093
(/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)
accuracy42.341486949036344
#s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b))
accuracy0
(/.f64 #s(literal 1 binary64) a)
accuracy0.296875
(*.f64 b #s(literal 2/3 binary64))
accuracy3.178640594515022
(*.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) 1/3) (*.f64 b #s(literal 2/3 binary64))))
accuracy39.5822363792721
#s(approx (* (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) 1/3) (*.f64 b #s(literal 2/3 binary64)))
accuracy0.15234375
(/.f64 (*.f64 b #s(literal 2/3 binary64)) a)
accuracy0.296875
(*.f64 b #s(literal 2/3 binary64))
accuracy39.49873645002491
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (*.f64 b #s(literal 2/3 binary64)) a))
accuracy1.4999834856333614
(fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))
accuracy3.155730135419142
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a)
accuracy13.935882293283127
(-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b)
accuracy21.913569084911643
(sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))
Samples
57.0ms77×2valid
54.0ms81×1valid
34.0ms83×0valid
13.0ms15×3valid
Compiler

Compiled 299 to 48 computations (83.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 114.0ms
ival-mult: 37.0ms (32.5% of total)
ival-div: 22.0ms (19.4% of total)
adjust: 14.0ms (12.3% of total)
const: 12.0ms (10.6% of total)
ival-sqrt: 12.0ms (10.6% of total)
ival-add: 10.0ms (8.8% of total)
ival-sub: 4.0ms (3.5% of total)
exact: 1.0ms (0.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series44.0ms (0.4%)

Memory
26.0MiB live, 63.6MiB allocated
Counts
21 → 684
Calls
Call 1
Inputs
#s(alt (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a) (patch (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) (patch (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) (patch (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) (patch (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) #<representation binary64>) () ())
#s(alt #s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (*.f64 b #s(literal 2/3 binary64)) a)) (patch #s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (*.f64 b #s(literal 2/3 binary64)) a)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 b #s(literal 2/3 binary64)) a) (patch (/.f64 (*.f64 b #s(literal 2/3 binary64)) a) #<representation binary64>) () ())
#s(alt (*.f64 b #s(literal 2/3 binary64)) (patch (*.f64 b #s(literal 2/3 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) 1/3) (*.f64 b #s(literal 2/3 binary64)))) (patch (*.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) 1/3) (*.f64 b #s(literal 2/3 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) a) (patch (/.f64 #s(literal 1 binary64) a) #<representation binary64>) () ())
#s(alt #s(approx (* (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) 1/3) (*.f64 b #s(literal 2/3 binary64))) (patch #s(approx (* (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) 1/3) (*.f64 b #s(literal 2/3 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) #s(literal 1/3 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) (patch (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) #<representation binary64>) () ())
#s(alt #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) (patch #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b) (patch (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b) #<representation binary64>) () ())
#s(alt #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) (patch #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b) (patch (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b) #<representation binary64>) () ())
#s(alt #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) (patch #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64))) (patch (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))) (patch (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))) #<representation binary64>) () ())
#s(alt (/.f64 c (*.f64 b b)) (patch (/.f64 c (*.f64 b b)) #<representation binary64>) () ())
#s(alt (*.f64 a (/.f64 c (*.f64 b b))) (patch (*.f64 a (/.f64 c (*.f64 b b))) #<representation binary64>) () ())
Outputs
#s(alt (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (taylor 0 b) (#s(alt (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a) (patch (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) (taylor 0 b) (#s(alt (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a) (patch (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))) (taylor 0 b) (#s(alt (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a) (patch (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a))))) (taylor 0 b) (#s(alt (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a) (patch (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ c b)) (taylor inf b) (#s(alt (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a) (patch (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) (taylor inf b) (#s(alt (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a) (patch (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b) (taylor inf b) (#s(alt (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a) (patch (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) (taylor inf b) (#s(alt (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a) (patch (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (* -2/3 (/ b a)) (taylor -inf b) (#s(alt (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a) (patch (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) (taylor -inf b) (#s(alt (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a) (patch (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))) (taylor -inf b) (#s(alt (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a) (patch (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))) (taylor -inf b) (#s(alt (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a) (patch (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ c b)) (taylor 0 a) (#s(alt (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a) (patch (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) (taylor 0 a) (#s(alt (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a) (patch (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) (taylor 0 a) (#s(alt (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a) (patch (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) (taylor 0 a) (#s(alt (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a) (patch (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (taylor inf a) (#s(alt (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a) (patch (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) (taylor inf a) (#s(alt (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a) (patch (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) (taylor inf a) (#s(alt (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a) (patch (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) (taylor inf a) (#s(alt (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a) (patch (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (taylor -inf a) (#s(alt (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a) (patch (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) (taylor -inf a) (#s(alt (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a) (patch (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) (taylor -inf a) (#s(alt (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a) (patch (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) (taylor -inf a) (#s(alt (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a) (patch (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ c b)) (taylor 0 c) (#s(alt (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a) (patch (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a) (patch (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a) (patch (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a) (patch (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (taylor inf c) (#s(alt (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a) (patch (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) (taylor inf c) (#s(alt (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a) (patch (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) (taylor inf c) (#s(alt (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a) (patch (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) (taylor inf c) (#s(alt (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a) (patch (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (taylor -inf c) (#s(alt (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a) (patch (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) (taylor -inf c) (#s(alt (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a) (patch (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) (taylor -inf c) (#s(alt (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a) (patch (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) (taylor -inf c) (#s(alt (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a) (patch (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (taylor 0 b) (#s(alt (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) (patch (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/3 b) (* 1/3 (* (sqrt (* a c)) (sqrt -3)))) (taylor 0 b) (#s(alt (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) (patch (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1/3))) (taylor 0 b) (#s(alt (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) (patch (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
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#s(alt (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* 1/3 (/ b a))) (taylor inf a) (#s(alt (*.f64 (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* 1/3 (/ b a)))) (taylor inf a) (#s(alt (*.f64 (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
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#s(alt (+ (* 2/3 (/ b a)) (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))) (taylor 0 c) (#s(alt (*.f64 (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2/3 (/ b a)) (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))) (taylor 0 c) (#s(alt (*.f64 (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (* 1/3 (/ b (* a c))))) (taylor inf c) (#s(alt (*.f64 (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (* 1/3 (/ b (* a c)))))) (taylor inf c) (#s(alt (*.f64 (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (* 1/3 (/ b (* a c))))))) (taylor inf c) (#s(alt (*.f64 (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (taylor -inf c) (#s(alt (*.f64 (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) (taylor -inf c) (#s(alt (*.f64 (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) (taylor -inf c) (#s(alt (*.f64 (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) (taylor -inf c) (#s(alt (*.f64 (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
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#s(alt (+ (* 2 (/ b a)) (* c (- (* -9/8 (/ (* a c) (pow b 3))) (* 3/2 (/ 1 b))))) (taylor 0 c) (#s(alt (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) (patch (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (/ b a)) (* c (- (* c (+ (* -27/16 (/ (* (pow a 2) c) (pow b 5))) (* -9/8 (/ a (pow b 3))))) (* 3/2 (/ 1 b))))) (taylor 0 c) (#s(alt (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) (patch (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ c a)) (sqrt -3)) (taylor inf c) (#s(alt (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) (patch (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -3)) (/ b (* a c)))) (taylor inf c) (#s(alt (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) (patch (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (+ (* (sqrt (/ 1 (* a c))) (sqrt -3)) (/ b (* a c))))) (taylor inf c) (#s(alt (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) (patch (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (+ (* (sqrt (/ 1 (* a c))) (sqrt -3)) (/ b (* a c)))))) (taylor inf c) (#s(alt (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) (patch (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* c (+ (* -1 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))) (taylor -inf c) (#s(alt (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) (patch (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (/ b a)) c)) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))) (taylor -inf c) (#s(alt (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) (patch (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (/ b a)) c)) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))) (taylor -inf c) (#s(alt (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) (patch (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (* a c)) (sqrt -3)) (taylor 0 b) (#s(alt #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) (patch #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) #<representation binary64>) () ())) ())
#s(alt (+ b (* (sqrt (* a c)) (sqrt -3))) (taylor 0 b) (#s(alt #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) (patch #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) #<representation binary64>) () ())) ())
#s(alt (+ (* b (+ 1 (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))))) (* (sqrt (* a c)) (sqrt -3))) (taylor 0 b) (#s(alt #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) (patch #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) #<representation binary64>) () ())) ())
#s(alt (+ (* b (+ 1 (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))))) (* (sqrt (* a c)) (sqrt -3))) (taylor 0 b) (#s(alt #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) (patch #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) #<representation binary64>) () ())) ())
#s(alt (* 2 b) (taylor inf b) (#s(alt #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) (patch #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) #<representation binary64>) () ())) ())
#s(alt (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2))))) (taylor inf b) (#s(alt #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) (patch #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) #<representation binary64>) () ())) ())
#s(alt (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) (taylor inf b) (#s(alt #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) (patch #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) #<representation binary64>) () ())) ())
#s(alt (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) (taylor inf b) (#s(alt #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) (patch #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) #<representation binary64>) () ())) ())
#s(alt (* 3/2 (/ (* a c) b)) (taylor -inf b) (#s(alt #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) (patch #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) #<representation binary64>) () ())) ())
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#s(alt (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (taylor 0 b) (#s(alt #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) (patch #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) (taylor 0 b) (#s(alt #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) (patch #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))) (taylor 0 b) (#s(alt #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) (patch #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a))))) (taylor 0 b) (#s(alt #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) (patch #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ c b)) (taylor inf b) (#s(alt #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) (patch #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) (taylor inf b) (#s(alt #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) (patch #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b) (taylor inf b) (#s(alt #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) (patch #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) (taylor inf b) (#s(alt #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) (patch #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) #<representation binary64>) () ())) ())
#s(alt (* -2/3 (/ b a)) (taylor -inf b) (#s(alt #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) (patch #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) (taylor -inf b) (#s(alt #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) (patch #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))) (taylor -inf b) (#s(alt #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) (patch #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))) (taylor -inf b) (#s(alt #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) (patch #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ c b)) (taylor 0 a) (#s(alt #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) (patch #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) (taylor 0 a) (#s(alt #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) (patch #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) (taylor 0 a) (#s(alt #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) (patch #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) (taylor 0 a) (#s(alt #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) (patch #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (taylor inf a) (#s(alt #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) (patch #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) (taylor inf a) (#s(alt #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) (patch #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) (taylor inf a) (#s(alt #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) (patch #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) (taylor inf a) (#s(alt #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) (patch #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (taylor -inf a) (#s(alt #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) (patch #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) (taylor -inf a) (#s(alt #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) (patch #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) (taylor -inf a) (#s(alt #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) (patch #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) (taylor -inf a) (#s(alt #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) (patch #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ c b)) (taylor 0 c) (#s(alt #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) (patch #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) (patch #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) (patch #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) (patch #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (taylor inf c) (#s(alt #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) (patch #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) (taylor inf c) (#s(alt #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) (patch #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) (taylor inf c) (#s(alt #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) (patch #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) (taylor inf c) (#s(alt #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) (patch #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (taylor -inf c) (#s(alt #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) (patch #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) (taylor -inf c) (#s(alt #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) (patch #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) (taylor -inf c) (#s(alt #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) (patch #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) (taylor -inf c) (#s(alt #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) (patch #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ c b)) (taylor 0 a) (#s(alt (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b) (patch (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) (taylor 0 a) (#s(alt (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b) (patch (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) (taylor 0 a) (#s(alt (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b) (patch (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) (taylor 0 a) (#s(alt (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b) (patch (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b) #<representation binary64>) () ())) ())
#s(alt (* -3/8 (/ (* a (pow c 2)) (pow b 3))) (taylor inf a) (#s(alt (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b) (patch (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -1/2 (/ c (* a b))) (* -3/8 (/ (pow c 2) (pow b 3))))) (taylor inf a) (#s(alt (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b) (patch (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -1/2 (/ c (* a b))) (* -3/8 (/ (pow c 2) (pow b 3))))) (taylor inf a) (#s(alt (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b) (patch (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -1/2 (/ c (* a b))) (* -3/8 (/ (pow c 2) (pow b 3))))) (taylor inf a) (#s(alt (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b) (patch (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b) #<representation binary64>) () ())) ())
#s(alt (* -3/8 (/ (* a (pow c 2)) (pow b 3))) (taylor -inf a) (#s(alt (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b) (patch (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))))) (taylor -inf a) (#s(alt (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b) (patch (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))))) (taylor -inf a) (#s(alt (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b) (patch (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))))) (taylor -inf a) (#s(alt (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b) (patch (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ c b)) (taylor 0 c) (#s(alt (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b) (patch (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b) (patch (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b) (patch (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b) (patch (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b) #<representation binary64>) () ())) ())
#s(alt (* -3/8 (/ (* a (pow c 2)) (pow b 3))) (taylor inf c) (#s(alt (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b) (patch (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c))))) (taylor inf c) (#s(alt (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b) (patch (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c))))) (taylor inf c) (#s(alt (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b) (patch (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c))))) (taylor inf c) (#s(alt (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b) (patch (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b) #<representation binary64>) () ())) ())
#s(alt (* -3/8 (/ (* a (pow c 2)) (pow b 3))) (taylor -inf c) (#s(alt (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b) (patch (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b) #<representation binary64>) () ())) ())
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#s(alt (/ (* a c) (pow b 2)) (taylor 0 b) (#s(alt (*.f64 a (/.f64 c (*.f64 b b))) (patch (*.f64 a (/.f64 c (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) (pow b 2)) (taylor 0 b) (#s(alt (*.f64 a (/.f64 c (*.f64 b b))) (patch (*.f64 a (/.f64 c (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) (pow b 2)) (taylor 0 b) (#s(alt (*.f64 a (/.f64 c (*.f64 b b))) (patch (*.f64 a (/.f64 c (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) (pow b 2)) (taylor 0 b) (#s(alt (*.f64 a (/.f64 c (*.f64 b b))) (patch (*.f64 a (/.f64 c (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) (pow b 2)) (taylor inf b) (#s(alt (*.f64 a (/.f64 c (*.f64 b b))) (patch (*.f64 a (/.f64 c (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) (pow b 2)) (taylor inf b) (#s(alt (*.f64 a (/.f64 c (*.f64 b b))) (patch (*.f64 a (/.f64 c (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) (pow b 2)) (taylor inf b) (#s(alt (*.f64 a (/.f64 c (*.f64 b b))) (patch (*.f64 a (/.f64 c (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) (pow b 2)) (taylor inf b) (#s(alt (*.f64 a (/.f64 c (*.f64 b b))) (patch (*.f64 a (/.f64 c (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) (pow b 2)) (taylor -inf b) (#s(alt (*.f64 a (/.f64 c (*.f64 b b))) (patch (*.f64 a (/.f64 c (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) (pow b 2)) (taylor -inf b) (#s(alt (*.f64 a (/.f64 c (*.f64 b b))) (patch (*.f64 a (/.f64 c (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) (pow b 2)) (taylor -inf b) (#s(alt (*.f64 a (/.f64 c (*.f64 b b))) (patch (*.f64 a (/.f64 c (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) (pow b 2)) (taylor -inf b) (#s(alt (*.f64 a (/.f64 c (*.f64 b b))) (patch (*.f64 a (/.f64 c (*.f64 b b))) #<representation binary64>) () ())) ())
Calls

171 calls:

TimeVariablePointExpression
1.0ms
c
@inf
(* c (+ (* (* a (/ c (* b b))) -3/8) -1/2))
1.0ms
a
@0
(* c (+ (* (* a (/ c (* b b))) -3/8) -1/2))
1.0ms
c
@-inf
(* c (+ (* (* a (/ c (* b b))) -3/8) -1/2))
0.0ms
c
@0
(* c (+ (* (* a (/ c (* b b))) -3/8) -1/2))
0.0ms
c
@-inf
(/ c (* b b))

simplify377.0ms (3.7%)

Memory
9.1MiB live, 481.4MiB allocated
Algorithm
egg-herbie
Rules
11 412×lower-fma.f64
11 412×lower-fma.f32
7 814×lower-*.f64
7 814×lower-*.f32
6 316×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
099213493
1327813395
0856712771
Stop Event
iter limit
node limit
Counts
684 → 681
Calls
Call 1
Inputs
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a)))))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a)))))
(* -1/2 (/ c b))
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -2/3 (/ b a))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))))
(* -1/2 (/ c b))
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(* -1/2 (/ c b))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(* 1/3 (* (sqrt (* a c)) (sqrt -3)))
(+ (* -1/3 b) (* 1/3 (* (sqrt (* a c)) (sqrt -3))))
(+ (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1/3)))
(+ (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1/3)))
(* -1/2 (/ (* a c) b))
(/ (+ (* -1/2 (* a c)) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -1/2 (* a c)) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -1/2 (* a c)) (+ (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
(* -2/3 b)
(* -1 (* b (+ 2/3 (* -1/2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 2/3 (+ (* -1/2 (/ (* a c) (pow b 2))) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 2/3 (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ (* a c) (pow b 2))) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -1/2 (/ (* a c) b))
(* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))))
(* a (+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))))
(* 1/3 (* (sqrt (* a c)) (sqrt -3)))
(* a (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))
(* a (+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))
(* a (+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))))
(* -1/3 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* a (+ (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b a)))))
(* -1 (* a (+ (* -1 (/ (+ (* -1/3 b) (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* -1/3 b)) a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
(* -1/2 (/ (* a c) b))
(* c (+ (* -1/2 (/ a b)) (* -3/8 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -1/2 (/ a b)) (* c (+ (* -9/16 (/ (* (pow a 3) c) (pow b 5))) (* -3/8 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -1/2 (/ a b)) (* c (+ (* -3/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -9/16 (/ (pow a 3) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b))))))))
(* 1/3 (* (sqrt (* a c)) (sqrt -3)))
(* c (+ (* -1/3 (/ b c)) (* 1/3 (* (sqrt (/ a c)) (sqrt -3)))))
(* c (+ (* -1/3 (/ b c)) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ a c)) (sqrt -3))))))
(* c (+ (* -1/3 (/ b c)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ a c)) (sqrt -3)))))))
(* -1/3 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b c)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 b) (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 b)) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))
(* (sqrt (* a c)) (sqrt -3))
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -3)))
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3)))
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3)))
(* -3/2 (/ (* a c) b))
(/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
(* -2 b)
(* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -3/2 (/ (* a c) b))
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))))
(* (sqrt (* a c)) (sqrt -3))
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a)))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -3/2 (/ (* a c) b))
(* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b))))))))
(* (sqrt (* a c)) (sqrt -3))
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c)))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c)))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))
(* (sqrt (* a c)) (sqrt -3))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (* a c)) (sqrt -3)))
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))))
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5)))))))))
b
(* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 b)
(* -1 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
b
(+ b (* -3/2 (/ (* a c) b)))
(+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -3))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))
b
(+ b (* -3/2 (/ (* a c) b)))
(+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -3))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))
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(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
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(* b (+ 2/3 (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ (* a c) (pow b 2))) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
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(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(* (sqrt (/ c a)) (sqrt -3))
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(* 2 (/ b a))
(* b (+ (* -3/2 (/ c (pow b 2))) (* 2 (/ 1 a))))
(* b (+ (* -3/2 (/ c (pow b 2))) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 4))) (* 2 (/ 1 a)))))
(* b (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ c (pow b 2))) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 4))) (* 2 (/ 1 a))))))
(* 3/2 (/ c b))
(* -1 (/ (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2))))) b))
(* -1 (/ (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -3/2 c) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b))
(* 2 (/ b a))
(/ (+ (* -3/2 (/ (* a c) b)) (* 2 b)) a)
(/ (+ (* 2 b) (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))) a)
(/ (+ (* 2 b) (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))) a)
(* (sqrt (/ c a)) (sqrt -3))
(+ (* (sqrt (/ c a)) (sqrt -3)) (/ b a))
(+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (+ (* (sqrt (/ c a)) (sqrt -3)) (/ b a)))
(+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (+ (* (sqrt (/ c a)) (sqrt -3)) (/ b a))))
(* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
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(* 2 (/ b a))
(+ (* -3/2 (/ c b)) (* 2 (/ b a)))
(+ (* 2 (/ b a)) (* c (- (* -9/8 (/ (* a c) (pow b 3))) (* 3/2 (/ 1 b)))))
(+ (* 2 (/ b a)) (* c (- (* c (+ (* -27/16 (/ (* (pow a 2) c) (pow b 5))) (* -9/8 (/ a (pow b 3))))) (* 3/2 (/ 1 b)))))
(* (sqrt (/ c a)) (sqrt -3))
(* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -3)) (/ b (* a c))))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (+ (* (sqrt (/ 1 (* a c))) (sqrt -3)) (/ b (* a c)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (+ (* (sqrt (/ 1 (* a c))) (sqrt -3)) (/ b (* a c))))))
(* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* -1 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))
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(* (sqrt (* a c)) (sqrt -3))
(+ b (* (sqrt (* a c)) (sqrt -3)))
(+ (* b (+ 1 (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))))) (* (sqrt (* a c)) (sqrt -3)))
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(* 2 b)
(* b (+ 2 (* -3/2 (/ (* a c) (pow b 2)))))
(* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* 3/2 (/ (* a c) b))
(* -1 (/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))
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(* 2 b)
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(* (sqrt (* a c)) (sqrt -3))
(* a (+ (* (sqrt (/ c a)) (sqrt -3)) (/ b a)))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (+ (* (sqrt (/ c a)) (sqrt -3)) (/ b a))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (+ (* (sqrt (/ c a)) (sqrt -3)) (/ b a)))))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* a (+ (* -1 (/ (+ b (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
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(* 2 b)
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(* (sqrt (* a c)) (sqrt -3))
(* c (+ (* (sqrt (/ a c)) (sqrt -3)) (/ b c)))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (+ (* (sqrt (/ a c)) (sqrt -3)) (/ b c))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (+ (* (sqrt (/ a c)) (sqrt -3)) (/ b c)))))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))
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(* -1 (* c (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c))) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))
(* 3/2 (/ (* a c) b))
(* 3/2 (/ (* a c) b))
(* 3/2 (/ (* a c) b))
(* 3/2 (/ (* a c) b))
(* 3/2 (/ (* a c) b))
(* 3/2 (/ (* a c) b))
(* 3/2 (/ (* a c) b))
(* 3/2 (/ (* a c) b))
(* 3/2 (/ (* a c) b))
(* 3/2 (/ (* a c) b))
(* 3/2 (/ (* a c) b))
(* 3/2 (/ (* a c) b))
(* 3/2 (/ (* a c) b))
(* 3/2 (/ (* a c) b))
(* 3/2 (/ (* a c) b))
(* 3/2 (/ (* a c) b))
(* 3/2 (/ (* a c) b))
(* 3/2 (/ (* a c) b))
(* 3/2 (/ (* a c) b))
(* 3/2 (/ (* a c) b))
(* 3/2 (/ (* a c) b))
(* 3/2 (/ (* a c) b))
(* 3/2 (/ (* a c) b))
(* 3/2 (/ (* a c) b))
(* 3/2 (/ (* a c) b))
(* 3/2 (/ (* a c) b))
(* 3/2 (/ (* a c) b))
(* 3/2 (/ (* a c) b))
(* 3/2 (/ (* a c) b))
(* 3/2 (/ (* a c) b))
(* 3/2 (/ (* a c) b))
(* 3/2 (/ (* a c) b))
(* 3/2 (/ (* a c) b))
(* 3/2 (/ (* a c) b))
(* 3/2 (/ (* a c) b))
(* 3/2 (/ (* a c) b))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a)))))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a)))))
(* -1/2 (/ c b))
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -2/3 (/ b a))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))))
(* -1/2 (/ c b))
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))
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(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))
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(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(* -1/2 (/ c b))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(* -1/2 (/ c b))
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))
(* -3/8 (/ (* a (pow c 2)) (pow b 3)))
(* a (+ (* -1/2 (/ c (* a b))) (* -3/8 (/ (pow c 2) (pow b 3)))))
(* a (+ (* -1/2 (/ c (* a b))) (* -3/8 (/ (pow c 2) (pow b 3)))))
(* a (+ (* -1/2 (/ c (* a b))) (* -3/8 (/ (pow c 2) (pow b 3)))))
(* -3/8 (/ (* a (pow c 2)) (pow b 3)))
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b))))))
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b))))))
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b))))))
(* -1/2 (/ c b))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* -3/8 (/ (* a (pow c 2)) (pow b 3)))
(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))))
(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))))
(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))))
(* -3/8 (/ (* a (pow c 2)) (pow b 3)))
(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))))
(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))))
(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))))
(* -3/8 (/ (* a (pow c 2)) (pow b 3)))
(/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 3))
(/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 3))
(/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 3))
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(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)
(* -1/2 (/ c b))
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 c)) b))
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 c)) b))
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 c)) b))
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(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))
(* -3/8 (/ (* a (pow c 2)) (pow b 2)))
(* a (+ (* -1/2 (/ c a)) (* -3/8 (/ (pow c 2) (pow b 2)))))
(* a (+ (* -1/2 (/ c a)) (* -3/8 (/ (pow c 2) (pow b 2)))))
(* a (+ (* -1/2 (/ c a)) (* -3/8 (/ (pow c 2) (pow b 2)))))
(* -3/8 (/ (* a (pow c 2)) (pow b 2)))
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 2))) (* 1/2 (/ c a)))))
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 2))) (* 1/2 (/ c a)))))
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 2))) (* 1/2 (/ c a)))))
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(* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2))
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(* (pow c 2) (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c))))
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(* (pow c 2) (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c))))
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(/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 2))
(/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 2))
(/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 2))
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(* a (+ (* -1/2 (/ c a)) (* -3/8 (/ (pow c 2) (pow b 2)))))
(* -3/8 (/ (* a (pow c 2)) (pow b 2)))
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 2))) (* 1/2 (/ c a)))))
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 2))) (* 1/2 (/ c a)))))
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(/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 2))
(/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 2))
(/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 2))
(* -1/2 c)
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))
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(* -3 (* a c))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(pow b 2)
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(pow b 2)
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(pow b 2)
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(* -3 (* a c))
(* a (+ (* -3 c) (/ (pow b 2) a)))
(* a (+ (* -3 c) (/ (pow b 2) a)))
(* a (+ (* -3 c) (/ (pow b 2) a)))
(* -3 (* a c))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))
(pow b 2)
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(* -3 (* a c))
(* c (+ (* -3 a) (/ (pow b 2) c)))
(* c (+ (* -3 a) (/ (pow b 2) c)))
(* c (+ (* -3 a) (/ (pow b 2) c)))
(* -3 (* a c))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a))))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
Outputs
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 c a)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64))) (*.f64 #s(literal -1/3 binary64) (/.f64 b a)))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a)))))
(fma.f64 b (fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a)))))) (/.f64 b (sqrt.f64 #s(literal -3 binary64))) (/.f64 #s(literal -1/3 binary64) a)) (*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 c a))))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a)))))
(fma.f64 b (fma.f64 b (fma.f64 #s(literal 1/6 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (sqrt.f64 #s(literal -3 binary64))) (*.f64 (*.f64 #s(literal -1/24 binary64) (/.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal -3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 c (*.f64 c c))))))) (/.f64 #s(literal -1/3 binary64) a)) (*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 c a))))
(* -1/2 (/ c b))
(*.f64 #s(literal -1/2 binary64) (/.f64 c b))
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)
(/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)
(/.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64)))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(/.f64 (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 c (*.f64 c c))) a) (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) #s(literal 405/64 binary64)) (*.f64 a (pow.f64 b #s(literal 6 binary64)))) (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))))) b)
(* -2/3 (/ b a))
(*.f64 (/.f64 b a) #s(literal -2/3 binary64))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b b)) (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) (/.f64 #s(literal 2/3 binary64) a))) (neg.f64 b))
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))))
(neg.f64 (*.f64 b (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 c (*.f64 c c))) a) (pow.f64 b #s(literal 6 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b b)) (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) (/.f64 #s(literal 2/3 binary64) a))))))
(* -1/2 (/ c b))
(*.f64 #s(literal -1/2 binary64) (/.f64 c b))
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))
(fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b b))) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))
(fma.f64 a (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a (*.f64 c (*.f64 c c)))) (pow.f64 b #s(literal 5 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))
(fma.f64 a (fma.f64 a (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64))) b)) (/.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) c) c) (*.f64 b (*.f64 b b)))) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 c a)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64))) (*.f64 #s(literal -1/3 binary64) (/.f64 b a)))
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64)))) (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64))) (*.f64 #s(literal -1/3 binary64) (/.f64 b a))))
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))
(fma.f64 (*.f64 #s(literal -1/24 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal -3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 c (*.f64 c c))))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64)))) (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64))) (*.f64 #s(literal -1/3 binary64) (/.f64 b a)))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))))
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))
(*.f64 #s(literal -1/3 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (/.f64 b a)))
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (*.f64 #s(literal 1/3 binary64) b)) a))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) b) (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal 1/24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c)))))) (/.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64)))))) a)) a))
(* -1/2 (/ c b))
(*.f64 #s(literal -1/2 binary64) (/.f64 c b))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(*.f64 c (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (/.f64 c (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) b)))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(*.f64 c (fma.f64 c (fma.f64 #s(literal -3/8 binary64) (/.f64 a (*.f64 b (*.f64 b b))) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 c (*.f64 a a))) (pow.f64 b #s(literal 5 binary64)))) (/.f64 #s(literal -1/2 binary64) b)))
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))
(*.f64 c (fma.f64 c (fma.f64 c (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 c (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64))) (*.f64 a b)) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1/2 binary64) b)))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 c a)))
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))
(*.f64 c (fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (/.f64 (*.f64 #s(literal -1/3 binary64) b) (*.f64 c a))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))
(*.f64 c (fma.f64 #s(literal -1/3 binary64) (/.f64 b (*.f64 c a)) (fma.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a (*.f64 c (*.f64 c c))) a) a))) (*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))
(*.f64 c (fma.f64 #s(literal -1/24 binary64) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 5 binary64)))))) (fma.f64 #s(literal -1/3 binary64) (/.f64 b (*.f64 c a)) (fma.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a (*.f64 c (*.f64 c c))) a) a))) (*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))))))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))))
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c))))))
(*.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (/.f64 b (*.f64 c a)))) (neg.f64 c))
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 #s(literal -1/3 binary64) (/.f64 b a))) (neg.f64 c))) (neg.f64 c))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(neg.f64 (*.f64 c (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))))) (/.f64 (-.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 b a)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (/.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (/.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (*.f64 #s(literal -1/24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (pow.f64 a #s(literal 5 binary64)))))) (/.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64)))))) c)) c))))
(* 1/3 (* (sqrt (* a c)) (sqrt -3)))
(*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (*.f64 c a)))
(+ (* -1/3 b) (* 1/3 (* (sqrt (* a c)) (sqrt -3))))
(fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (*.f64 c a)) (*.f64 #s(literal -1/3 binary64) b))
(+ (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1/3)))
(fma.f64 b (fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (/.f64 b (sqrt.f64 #s(literal -3 binary64))) #s(literal -1/3 binary64)) (*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (*.f64 c a))))
(+ (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1/3)))
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(fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64)))
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))
(fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64)))
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))
(fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64)))
(* -1/2 c)
(*.f64 c #s(literal -1/2 binary64))
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))
(fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64)))
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))
(fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64)))
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))
(fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64)))
(* -3 (* a c))
(*.f64 c (*.f64 a #s(literal -3 binary64)))
(+ (* -3 (* a c)) (pow b 2))
(fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))
(+ (* -3 (* a c)) (pow b 2))
(fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))
(+ (* -3 (* a c)) (pow b 2))
(fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(*.f64 (*.f64 b b) (fma.f64 (*.f64 a #s(literal -3 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64)))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(*.f64 (*.f64 b b) (fma.f64 (*.f64 a #s(literal -3 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64)))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(*.f64 (*.f64 b b) (fma.f64 (*.f64 a #s(literal -3 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64)))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(*.f64 (*.f64 b b) (fma.f64 (*.f64 a #s(literal -3 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64)))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(*.f64 (*.f64 b b) (fma.f64 (*.f64 a #s(literal -3 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64)))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(*.f64 (*.f64 b b) (fma.f64 (*.f64 a #s(literal -3 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64)))
(pow b 2)
(*.f64 b b)
(+ (* -3 (* a c)) (pow b 2))
(fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))
(+ (* -3 (* a c)) (pow b 2))
(fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))
(+ (* -3 (* a c)) (pow b 2))
(fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))
(* -3 (* a c))
(*.f64 c (*.f64 a #s(literal -3 binary64)))
(* a (+ (* -3 c) (/ (pow b 2) a)))
(*.f64 a (fma.f64 c #s(literal -3 binary64) (/.f64 (*.f64 b b) a)))
(* a (+ (* -3 c) (/ (pow b 2) a)))
(*.f64 a (fma.f64 c #s(literal -3 binary64) (/.f64 (*.f64 b b) a)))
(* a (+ (* -3 c) (/ (pow b 2) a)))
(*.f64 a (fma.f64 c #s(literal -3 binary64) (/.f64 (*.f64 b b) a)))
(* -3 (* a c))
(*.f64 c (*.f64 a #s(literal -3 binary64)))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))
(*.f64 (-.f64 (*.f64 c #s(literal 3 binary64)) (/.f64 (*.f64 b b) a)) (neg.f64 a))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))
(*.f64 (-.f64 (*.f64 c #s(literal 3 binary64)) (/.f64 (*.f64 b b) a)) (neg.f64 a))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))
(*.f64 (-.f64 (*.f64 c #s(literal 3 binary64)) (/.f64 (*.f64 b b) a)) (neg.f64 a))
(pow b 2)
(*.f64 b b)
(+ (* -3 (* a c)) (pow b 2))
(fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))
(+ (* -3 (* a c)) (pow b 2))
(fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))
(+ (* -3 (* a c)) (pow b 2))
(fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))
(* -3 (* a c))
(*.f64 c (*.f64 a #s(literal -3 binary64)))
(* c (+ (* -3 a) (/ (pow b 2) c)))
(*.f64 c (fma.f64 a #s(literal -3 binary64) (/.f64 (*.f64 b b) c)))
(* c (+ (* -3 a) (/ (pow b 2) c)))
(*.f64 c (fma.f64 a #s(literal -3 binary64) (/.f64 (*.f64 b b) c)))
(* c (+ (* -3 a) (/ (pow b 2) c)))
(*.f64 c (fma.f64 a #s(literal -3 binary64) (/.f64 (*.f64 b b) c)))
(* -3 (* a c))
(*.f64 c (*.f64 a #s(literal -3 binary64)))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a))))
(*.f64 (-.f64 (*.f64 a #s(literal 3 binary64)) (/.f64 (*.f64 b b) c)) (neg.f64 c))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a))))
(*.f64 (-.f64 (*.f64 a #s(literal 3 binary64)) (/.f64 (*.f64 b b) c)) (neg.f64 c))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a))))
(*.f64 (-.f64 (*.f64 a #s(literal 3 binary64)) (/.f64 (*.f64 b b) c)) (neg.f64 c))
(/ c (pow b 2))
(/.f64 c (*.f64 b b))
(/ c (pow b 2))
(/.f64 c (*.f64 b b))
(/ c (pow b 2))
(/.f64 c (*.f64 b b))
(/ c (pow b 2))
(/.f64 c (*.f64 b b))
(/ c (pow b 2))
(/.f64 c (*.f64 b b))
(/ c (pow b 2))
(/.f64 c (*.f64 b b))
(/ c (pow b 2))
(/.f64 c (*.f64 b b))
(/ c (pow b 2))
(/.f64 c (*.f64 b b))
(/ c (pow b 2))
(/.f64 c (*.f64 b b))
(/ c (pow b 2))
(/.f64 c (*.f64 b b))
(/ c (pow b 2))
(/.f64 c (*.f64 b b))
(/ c (pow b 2))
(/.f64 c (*.f64 b b))
(/ c (pow b 2))
(/.f64 c (*.f64 b b))
(/ c (pow b 2))
(/.f64 c (*.f64 b b))
(/ c (pow b 2))
(/.f64 c (*.f64 b b))
(/ c (pow b 2))
(/.f64 c (*.f64 b b))
(/ c (pow b 2))
(/.f64 c (*.f64 b b))
(/ c (pow b 2))
(/.f64 c (*.f64 b b))
(/ c (pow b 2))
(/.f64 c (*.f64 b b))
(/ c (pow b 2))
(/.f64 c (*.f64 b b))
(/ c (pow b 2))
(/.f64 c (*.f64 b b))
(/ c (pow b 2))
(/.f64 c (*.f64 b b))
(/ c (pow b 2))
(/.f64 c (*.f64 b b))
(/ c (pow b 2))
(/.f64 c (*.f64 b b))
(/ (* a c) (pow b 2))
(/.f64 (*.f64 c a) (*.f64 b b))
(/ (* a c) (pow b 2))
(/.f64 (*.f64 c a) (*.f64 b b))
(/ (* a c) (pow b 2))
(/.f64 (*.f64 c a) (*.f64 b b))
(/ (* a c) (pow b 2))
(/.f64 (*.f64 c a) (*.f64 b b))
(/ (* a c) (pow b 2))
(/.f64 (*.f64 c a) (*.f64 b b))
(/ (* a c) (pow b 2))
(/.f64 (*.f64 c a) (*.f64 b b))
(/ (* a c) (pow b 2))
(/.f64 (*.f64 c a) (*.f64 b b))
(/ (* a c) (pow b 2))
(/.f64 (*.f64 c a) (*.f64 b b))
(/ (* a c) (pow b 2))
(/.f64 (*.f64 c a) (*.f64 b b))
(/ (* a c) (pow b 2))
(/.f64 (*.f64 c a) (*.f64 b b))
(/ (* a c) (pow b 2))
(/.f64 (*.f64 c a) (*.f64 b b))
(/ (* a c) (pow b 2))
(/.f64 (*.f64 c a) (*.f64 b b))
(/ (* a c) (pow b 2))
(/.f64 (*.f64 c a) (*.f64 b b))
(/ (* a c) (pow b 2))
(/.f64 (*.f64 c a) (*.f64 b b))
(/ (* a c) (pow b 2))
(/.f64 (*.f64 c a) (*.f64 b b))
(/ (* a c) (pow b 2))
(/.f64 (*.f64 c a) (*.f64 b b))
(/ (* a c) (pow b 2))
(/.f64 (*.f64 c a) (*.f64 b b))
(/ (* a c) (pow b 2))
(/.f64 (*.f64 c a) (*.f64 b b))
(/ (* a c) (pow b 2))
(/.f64 (*.f64 c a) (*.f64 b b))
(/ (* a c) (pow b 2))
(/.f64 (*.f64 c a) (*.f64 b b))
(/ (* a c) (pow b 2))
(/.f64 (*.f64 c a) (*.f64 b b))
(/ (* a c) (pow b 2))
(/.f64 (*.f64 c a) (*.f64 b b))
(/ (* a c) (pow b 2))
(/.f64 (*.f64 c a) (*.f64 b b))
(/ (* a c) (pow b 2))
(/.f64 (*.f64 c a) (*.f64 b b))
(/ (* a c) (pow b 2))
(/.f64 (*.f64 c a) (*.f64 b b))
(/ (* a c) (pow b 2))
(/.f64 (*.f64 c a) (*.f64 b b))
(/ (* a c) (pow b 2))
(/.f64 (*.f64 c a) (*.f64 b b))
(/ (* a c) (pow b 2))
(/.f64 (*.f64 c a) (*.f64 b b))
(/ (* a c) (pow b 2))
(/.f64 (*.f64 c a) (*.f64 b b))
(/ (* a c) (pow b 2))
(/.f64 (*.f64 c a) (*.f64 b b))
(/ (* a c) (pow b 2))
(/.f64 (*.f64 c a) (*.f64 b b))
(/ (* a c) (pow b 2))
(/.f64 (*.f64 c a) (*.f64 b b))
(/ (* a c) (pow b 2))
(/.f64 (*.f64 c a) (*.f64 b b))
(/ (* a c) (pow b 2))
(/.f64 (*.f64 c a) (*.f64 b b))
(/ (* a c) (pow b 2))
(/.f64 (*.f64 c a) (*.f64 b b))
(/ (* a c) (pow b 2))
(/.f64 (*.f64 c a) (*.f64 b b))

rewrite264.0ms (2.6%)

Memory
13.2MiB live, 350.2MiB allocated
Rules
5 242×lower-/.f32
5 228×lower-/.f64
4 590×lower-*.f32
4 568×lower-*.f64
4 232×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055331
078324
1295322
21876316
08405313
Stop Event
iter limit
node limit
iter limit
Counts
21 → 555
Calls
Call 1
Inputs
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a)
(*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64))
(-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b)
(sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (*.f64 b #s(literal 2/3 binary64)) a))
(/.f64 (*.f64 b #s(literal 2/3 binary64)) a)
(*.f64 b #s(literal 2/3 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) 1/3) (*.f64 b #s(literal 2/3 binary64))))
(/.f64 #s(literal 1 binary64) a)
#s(approx (* (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) 1/3) (*.f64 b #s(literal 2/3 binary64)))
(*.f64 (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) #s(literal 1/3 binary64))
(/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a)
#s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b))
(/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)
#s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b))
(/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b)
#s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64))))
(*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))
(fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))
(/.f64 c (*.f64 b b))
(*.f64 a (/.f64 c (*.f64 b b)))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 a (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 a)) (*.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) a)))
(neg.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) a)))
(neg.f64 (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal -1/3 binary64)) a))
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a)
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 a (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 b (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))) (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) a) (*.f64 (fma.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) (neg.f64 (*.f64 b (*.f64 b b)))) #s(literal 1/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))) a) (*.f64 (-.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))) (*.f64 b b)) #s(literal 1/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a) (*.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))) (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) (*.f64 (fma.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) (neg.f64 (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 1/3 binary64) a))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))) (*.f64 (-.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))) (*.f64 b b)) (/.f64 #s(literal 1/3 binary64) a))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 a (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)))))
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal -1/3 binary64)) (neg.f64 a))
(/.f64 (*.f64 (fma.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) (neg.f64 (*.f64 b (*.f64 b b)))) #s(literal 1/3 binary64)) (*.f64 (fma.f64 b (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))) (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) a))
(/.f64 (*.f64 (-.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))) (*.f64 b b)) #s(literal 1/3 binary64)) (*.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))) a))
(/.f64 (neg.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal -1/3 binary64))) (neg.f64 (neg.f64 a)))
(/.f64 (*.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) #s(literal 1 binary64)) a)
(/.f64 (*.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) #s(literal -1 binary64)) (neg.f64 a))
(/.f64 (*.f64 (fma.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) (neg.f64 (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 1/3 binary64) a)) (fma.f64 b (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))) (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))))
(/.f64 (*.f64 (-.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))) (*.f64 b b)) (/.f64 #s(literal 1/3 binary64) a)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) (neg.f64 (*.f64 b (*.f64 b b)))) #s(literal 1/3 binary64))) (neg.f64 (*.f64 (fma.f64 b (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))) (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) a)))
(/.f64 (neg.f64 (*.f64 (-.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))) (*.f64 b b)) #s(literal 1/3 binary64))) (neg.f64 (*.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))) a)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal -1/3 binary64)))) (neg.f64 (neg.f64 (neg.f64 a))))
(/.f64 (neg.f64 (*.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) #s(literal 1 binary64))) (neg.f64 a))
(/.f64 (neg.f64 (*.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) #s(literal -1 binary64))) (neg.f64 (neg.f64 a)))
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(/.f64 c (*.f64 b b))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) c))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 b b) c))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 c #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 b b) c)))
(/.f64 (neg.f64 c) (neg.f64 (*.f64 b b)))
(/.f64 (/.f64 c b) b)
(/.f64 (neg.f64 (neg.f64 c)) (neg.f64 (neg.f64 (*.f64 b b))))
(/.f64 (neg.f64 (/.f64 c b)) (neg.f64 b))
(/.f64 (*.f64 c #s(literal 1 binary64)) (*.f64 b b))
(/.f64 (neg.f64 (neg.f64 (neg.f64 c))) (neg.f64 (neg.f64 (neg.f64 (*.f64 b b)))))
(/.f64 (neg.f64 (neg.f64 (/.f64 c b))) (neg.f64 (neg.f64 b)))
(/.f64 (neg.f64 (*.f64 c #s(literal 1 binary64))) (neg.f64 (*.f64 b b)))
(pow.f64 (/.f64 (*.f64 b b) c) #s(literal -1 binary64))
(*.f64 c (/.f64 #s(literal 1 binary64) (*.f64 b b)))
(*.f64 #s(literal 1 binary64) (/.f64 c (*.f64 b b)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (*.f64 b b) c))))
(*.f64 (neg.f64 c) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 b b))))
(*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 c b))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) c)
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (pow.f64 (/.f64 #s(literal 1 binary64) c) #s(literal -1 binary64)))
(*.f64 (/.f64 c b) (/.f64 #s(literal 1 binary64) b))
(*.f64 (neg.f64 (neg.f64 c)) (/.f64 #s(literal 1 binary64) (*.f64 b b)))
(*.f64 (neg.f64 (/.f64 c b)) (/.f64 #s(literal 1 binary64) (neg.f64 b)))
(*.f64 (*.f64 c #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 b b)))
(*.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 c (neg.f64 b)))
(/.f64 a (/.f64 (*.f64 b b) c))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 a c)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 b b) c) a))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 b b) (*.f64 a c)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 (*.f64 a c) b)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (*.f64 b b)) (*.f64 a (neg.f64 c))))
(/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 a (/.f64 c b))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (*.f64 b b)) (*.f64 (neg.f64 c) a)))
(/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 (/.f64 c b) a)))
(/.f64 (*.f64 a c) (*.f64 b b))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 b b) (*.f64 a c))))
(/.f64 (neg.f64 a) (neg.f64 (/.f64 (*.f64 b b) c)))
(/.f64 (neg.f64 (*.f64 a c)) (neg.f64 (*.f64 b b)))
(/.f64 (/.f64 (*.f64 a c) b) b)
(/.f64 (*.f64 a (neg.f64 c)) (neg.f64 (*.f64 b b)))
(/.f64 (*.f64 a (/.f64 c b)) b)
(/.f64 (*.f64 (neg.f64 c) a) (neg.f64 (*.f64 b b)))
(/.f64 (*.f64 (/.f64 c b) a) b)
(/.f64 (neg.f64 (neg.f64 (*.f64 a c))) (neg.f64 (neg.f64 (*.f64 b b))))
(/.f64 (neg.f64 (/.f64 (*.f64 a c) b)) (neg.f64 b))
(/.f64 (neg.f64 (*.f64 a (neg.f64 c))) (neg.f64 (neg.f64 (*.f64 b b))))
(/.f64 (neg.f64 (*.f64 a (/.f64 c b))) (neg.f64 b))
(/.f64 (neg.f64 (*.f64 (neg.f64 c) a)) (neg.f64 (neg.f64 (*.f64 b b))))
(/.f64 (neg.f64 (*.f64 (/.f64 c b) a)) (neg.f64 b))
(pow.f64 (/.f64 (*.f64 b b) (*.f64 a c)) #s(literal -1 binary64))
(*.f64 a (/.f64 c (*.f64 b b)))
(*.f64 c (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) a))
(*.f64 c (/.f64 a (*.f64 b b)))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 a c) (*.f64 b b)))
(*.f64 (*.f64 a c) (/.f64 #s(literal 1 binary64) (*.f64 b b)))
(*.f64 (/.f64 c (*.f64 b b)) a)
(*.f64 (/.f64 a b) (/.f64 c b))
(*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 a (/.f64 b c)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (/.f64 a (/.f64 #s(literal 1 binary64) c)))
(*.f64 (/.f64 c b) (/.f64 a b))
(*.f64 (neg.f64 (*.f64 a c)) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 b b))))
(*.f64 (/.f64 (*.f64 a c) b) (/.f64 #s(literal 1 binary64) b))
(*.f64 (*.f64 a (neg.f64 c)) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 b b))))
(*.f64 (*.f64 a (/.f64 c b)) (/.f64 #s(literal 1 binary64) b))
(*.f64 (*.f64 (neg.f64 c) a) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 b b))))
(*.f64 (*.f64 (/.f64 c b) a) (/.f64 #s(literal 1 binary64) b))
(*.f64 (/.f64 a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) c)))
(*.f64 (/.f64 a (neg.f64 b)) (/.f64 (neg.f64 c) b))
(*.f64 (/.f64 a #s(literal -1 binary64)) (/.f64 (neg.f64 c) (*.f64 b b)))
(*.f64 (/.f64 (neg.f64 c) b) (/.f64 a (neg.f64 b)))
(*.f64 (/.f64 (neg.f64 c) #s(literal -1 binary64)) (/.f64 a (*.f64 b b)))

eval195.0ms (1.9%)

Memory
-11.1MiB live, 320.1MiB allocated
Compiler

Compiled 31 508 to 3 121 computations (90.1% saved)

prune246.0ms (2.4%)

Memory
-2.4MiB live, 414.0MiB allocated
Pruning

40 alts after pruning (31 fresh and 9 done)

PrunedKeptTotal
New1 243101 253
Fresh22123
Picked145
Done055
Total1 246401 286
Accuracy
94.1%
Counts
1 286 → 40
Alt Table
Click to see full alt table
StatusAccuracyProgram
37.3%
(/.f64 (/.f64 (-.f64 (*.f64 b a) (*.f64 a (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (*.f64 a a)) #s(literal -3 binary64))
33.7%
(/.f64 (/.f64 (-.f64 b #s(approx (sqrt (+ (* a (* -3 c)) (* b b))) (neg.f64 b))) a) #s(literal -3 binary64))
31.6%
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 3 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))
26.8%
(/.f64 (-.f64 (*.f64 b b) (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) (*.f64 (*.f64 a #s(literal -3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))))))
56.2%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))
33.6%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 a (*.f64 c #s(literal -3 binary64)))))) (*.f64 #s(literal 3 binary64) a))
33.6%
(/.f64 (*.f64 (-.f64 (sqrt.f64 #s(approx (+ (* b b) (* a (* -3 c))) (*.f64 c (*.f64 a #s(literal -3 binary64))))) b) #s(literal 1/3 binary64)) a)
27.9%
(/.f64 (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 a c) (/.f64 #s(literal -3/2 binary64) b))) #s(literal 1/3 binary64)) a)
13.7%
(/.f64 (*.f64 #s(literal 1/3 binary64) #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 c (*.f64 a #s(literal 3/2 binary64))) b))) a)
31.6%
(*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal 1/3 binary64))
13.7%
(*.f64 (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) #s(literal 1/3 binary64))
31.6%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 a (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) #s(literal 1/3 binary64))
56.0%
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)))
2.5%
(*.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) 1/3) (/.f64 b #s(literal 3/2 binary64))))
2.5%
(*.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) 1/3) (*.f64 b #s(literal 2/3 binary64))))
56.1%
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b))
29.5%
(*.f64 (*.f64 (-.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))) (*.f64 b b)) (/.f64 #s(literal 1/3 binary64) a)) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))))))
1.3%
(*.f64 (exp.f64 (*.f64 (log.f64 a) #s(literal -1 binary64))) #s(approx (* (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) 1/3) (*.f64 b #s(literal 2/3 binary64))))
13.8%
(*.f64 #s(approx (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b c) #s(literal 3/2 binary64)))) #s(literal 1/3 binary64))
13.8%
(*.f64 #s(approx (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) (*.f64 (/.f64 c b) #s(literal 3/2 binary64))) #s(literal 1/3 binary64))
13.8%
(*.f64 #s(approx (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) (*.f64 c (*.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 3/2 binary64)))) #s(literal 1/3 binary64))
13.7%
(*.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 c (*.f64 a #s(literal 3/2 binary64))) b)) (/.f64 #s(literal 1/3 binary64) a))
27.9%
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 #s(literal -3/2 binary64) (*.f64 a c)) b)) a))
38.1%
#s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))
37.8%
#s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b))
32.9%
#s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)))
34.0%
#s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (*.f64 (/.f64 b a) #s(literal -2/3 binary64)))
13.5%
#s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) #s(approx (/ (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) b) (/.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c a)) c) (*.f64 b (*.f64 b b)))))
34.1%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (/.f64 b #s(literal -3/2 binary64)) a))
34.1%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 b #s(literal -2/3 binary64)) a))
34.0%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 b (*.f64 a #s(literal -3/2 binary64))))
34.0%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -2/3 binary64) (/.f64 a b)))
34.0%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b #s(literal -2/3 binary64))))
34.0%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal -2/3 binary64) a) b))
15.6%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (exp.f64 (*.f64 (log.f64 (/.f64 a (*.f64 b #s(literal -2/3 binary64)))) #s(literal -1 binary64))))
2.5%
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (/.f64 b #s(literal 3/2 binary64)) a))
2.5%
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (*.f64 b #s(literal 2/3 binary64)) a))
13.8%
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b))
2.5%
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (*.f64 (/.f64 b a) #s(literal 2/3 binary64)))
2.5%
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (*.f64 (/.f64 #s(literal 2/3 binary64) a) b))
Compiler

Compiled 1 398 to 594 computations (57.5% saved)

regimes107.0ms (1%)

Memory
12.5MiB live, 163.7MiB allocated
Counts
62 → 3
Calls
Call 1
Inputs
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (*.f64 (/.f64 #s(literal 2/3 binary64) a) b))
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (*.f64 (/.f64 b a) #s(literal 2/3 binary64)))
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b))
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (*.f64 b #s(literal 2/3 binary64)) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal -2/3 binary64) a) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 b (*.f64 a #s(literal -3/2 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 b #s(literal -2/3 binary64)) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))
#s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (*.f64 (/.f64 b a) #s(literal -2/3 binary64)))
#s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b #s(literal -2/3 binary64))))
(*.f64 #s(approx (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) (*.f64 (/.f64 c b) #s(literal 3/2 binary64))) #s(literal 1/3 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) 1/3) (*.f64 b #s(literal 2/3 binary64))))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 b #s(literal -2 binary64))) (*.f64 #s(literal 3 binary64) a))
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (/.f64 b #s(literal 3/2 binary64)) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -2/3 binary64) (/.f64 a b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (/.f64 b #s(literal -3/2 binary64)) a))
(*.f64 #s(approx (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) (*.f64 c (*.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 3/2 binary64)))) #s(literal 1/3 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) 1/3) (/.f64 b #s(literal 3/2 binary64))))
(/.f64 (/.f64 (-.f64 b #s(approx (sqrt (+ (* a (* -3 c)) (* b b))) (neg.f64 b))) a) #s(literal -3 binary64))
#s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) #s(approx (/ (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) b) (/.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c a)) c) (*.f64 b (*.f64 b b)))))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 #s(literal -3/2 binary64) (*.f64 a c)) b)) a))
(*.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 c (*.f64 a #s(literal 3/2 binary64))) b)) (/.f64 #s(literal 1/3 binary64) a))
(*.f64 (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) #s(literal 1/3 binary64))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (/.f64 #s(literal -3/2 binary64) b) (*.f64 a c))) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (*.f64 #s(literal 1/3 binary64) #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 c (*.f64 a #s(literal 3/2 binary64))) b))) a)
(/.f64 (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 a c) (/.f64 #s(literal -3/2 binary64) b))) #s(literal 1/3 binary64)) a)
(/.f64 (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) #s(literal 1/3 binary64)) a)
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (*.f64 b (fma.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a))))
(*.f64 #s(approx (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b c) #s(literal 3/2 binary64)))) #s(literal 1/3 binary64))
(*.f64 #s(approx (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) (fma.f64 (/.f64 b a) #s(literal 2 binary64) (*.f64 (/.f64 c b) #s(literal -3/2 binary64)))) #s(literal 1/3 binary64))
(/.f64 (*.f64 (-.f64 (sqrt.f64 #s(approx (+ (* b b) (* a (* -3 c))) (*.f64 c (*.f64 a #s(literal -3 binary64))))) b) #s(literal 1/3 binary64)) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 c (/.f64 #s(literal -1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)))
#s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 a (*.f64 c #s(literal -3 binary64)))))) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b))
(*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b))
(*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal 1/3 binary64))
(/.f64 (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64)) a)
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a)
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 a (*.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c c) (*.f64 b b))) (*.f64 c #s(literal -1/2 binary64))) b))
#s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) b) #s(literal 1/3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)))
(/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 a (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) #s(literal 1/3 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 3 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))
(/.f64 (/.f64 (-.f64 (*.f64 b a) (*.f64 a (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (*.f64 a a)) #s(literal -3 binary64))
(/.f64 (-.f64 (*.f64 b b) (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) (*.f64 (*.f64 a #s(literal -3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))))))
(/.f64 (/.f64 (fma.f64 b b (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))
(*.f64 (*.f64 (-.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))) (*.f64 b b)) (/.f64 #s(literal 1/3 binary64) a)) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))))))
(*.f64 (*.f64 (-.f64 (*.f64 b b) (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) (/.f64 #s(literal 1/3 binary64) a)) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))))))
(/.f64 (/.f64 (-.f64 (*.f64 b (/.f64 a (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) a) (*.f64 a (/.f64 a (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) #s(literal -3 binary64))
(*.f64 (exp.f64 (*.f64 (log.f64 a) #s(literal -1 binary64))) #s(approx (* (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) 1/3) (*.f64 b #s(literal 2/3 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (exp.f64 (*.f64 (log.f64 (/.f64 a (*.f64 b #s(literal -2/3 binary64)))) #s(literal -1 binary64))))
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 b #s(literal -2/3 binary64)) a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))
Calls

5 calls:

23.0ms
b
21.0ms
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
20.0ms
(*.f64 #s(literal 3 binary64) a)
19.0ms
c
18.0ms
a
Results
AccuracySegmentsBranch
56.2%1a
88.8%3b
56.2%1c
78.4%5(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
56.2%1(*.f64 #s(literal 3 binary64) a)
Compiler

Compiled 38 to 26 computations (31.6% saved)

regimes17.0ms (0.2%)

Memory
-5.1MiB live, 32.4MiB allocated
Counts
43 → 3
Calls
Call 1
Inputs
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (*.f64 (/.f64 #s(literal 2/3 binary64) a) b))
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (*.f64 (/.f64 b a) #s(literal 2/3 binary64)))
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b))
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (*.f64 b #s(literal 2/3 binary64)) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal -2/3 binary64) a) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 b (*.f64 a #s(literal -3/2 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 b #s(literal -2/3 binary64)) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))
#s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (*.f64 (/.f64 b a) #s(literal -2/3 binary64)))
#s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b #s(literal -2/3 binary64))))
(*.f64 #s(approx (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) (*.f64 (/.f64 c b) #s(literal 3/2 binary64))) #s(literal 1/3 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) 1/3) (*.f64 b #s(literal 2/3 binary64))))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 b #s(literal -2 binary64))) (*.f64 #s(literal 3 binary64) a))
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (/.f64 b #s(literal 3/2 binary64)) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -2/3 binary64) (/.f64 a b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (/.f64 b #s(literal -3/2 binary64)) a))
(*.f64 #s(approx (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) (*.f64 c (*.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 3/2 binary64)))) #s(literal 1/3 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) 1/3) (/.f64 b #s(literal 3/2 binary64))))
(/.f64 (/.f64 (-.f64 b #s(approx (sqrt (+ (* a (* -3 c)) (* b b))) (neg.f64 b))) a) #s(literal -3 binary64))
#s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) #s(approx (/ (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) b) (/.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c a)) c) (*.f64 b (*.f64 b b)))))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 #s(literal -3/2 binary64) (*.f64 a c)) b)) a))
(*.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 c (*.f64 a #s(literal 3/2 binary64))) b)) (/.f64 #s(literal 1/3 binary64) a))
(*.f64 (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) #s(literal 1/3 binary64))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (/.f64 #s(literal -3/2 binary64) b) (*.f64 a c))) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (*.f64 #s(literal 1/3 binary64) #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 c (*.f64 a #s(literal 3/2 binary64))) b))) a)
(/.f64 (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 a c) (/.f64 #s(literal -3/2 binary64) b))) #s(literal 1/3 binary64)) a)
(/.f64 (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) #s(literal 1/3 binary64)) a)
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (*.f64 b (fma.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a))))
(*.f64 #s(approx (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b c) #s(literal 3/2 binary64)))) #s(literal 1/3 binary64))
(*.f64 #s(approx (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) (fma.f64 (/.f64 b a) #s(literal 2 binary64) (*.f64 (/.f64 c b) #s(literal -3/2 binary64)))) #s(literal 1/3 binary64))
(/.f64 (*.f64 (-.f64 (sqrt.f64 #s(approx (+ (* b b) (* a (* -3 c))) (*.f64 c (*.f64 a #s(literal -3 binary64))))) b) #s(literal 1/3 binary64)) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 c (/.f64 #s(literal -1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)))
#s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 a (*.f64 c #s(literal -3 binary64)))))) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b))
(*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b))
(*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal 1/3 binary64))
(/.f64 (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64)) a)
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a)
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 b #s(literal -2/3 binary64)) a))
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))
Calls

1 calls:

15.0ms
b
Results
AccuracySegmentsBranch
88.7%3b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes20.0ms (0.2%)

Memory
11.4MiB live, 45.8MiB allocated
Counts
42 → 3
Calls
Call 1
Inputs
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (*.f64 (/.f64 #s(literal 2/3 binary64) a) b))
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (*.f64 (/.f64 b a) #s(literal 2/3 binary64)))
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b))
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (*.f64 b #s(literal 2/3 binary64)) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal -2/3 binary64) a) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 b (*.f64 a #s(literal -3/2 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 b #s(literal -2/3 binary64)) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))
#s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (*.f64 (/.f64 b a) #s(literal -2/3 binary64)))
#s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b #s(literal -2/3 binary64))))
(*.f64 #s(approx (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) (*.f64 (/.f64 c b) #s(literal 3/2 binary64))) #s(literal 1/3 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) 1/3) (*.f64 b #s(literal 2/3 binary64))))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 b #s(literal -2 binary64))) (*.f64 #s(literal 3 binary64) a))
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (/.f64 b #s(literal 3/2 binary64)) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -2/3 binary64) (/.f64 a b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (/.f64 b #s(literal -3/2 binary64)) a))
(*.f64 #s(approx (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) (*.f64 c (*.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 3/2 binary64)))) #s(literal 1/3 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) 1/3) (/.f64 b #s(literal 3/2 binary64))))
(/.f64 (/.f64 (-.f64 b #s(approx (sqrt (+ (* a (* -3 c)) (* b b))) (neg.f64 b))) a) #s(literal -3 binary64))
#s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) #s(approx (/ (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) b) (/.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c a)) c) (*.f64 b (*.f64 b b)))))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 #s(literal -3/2 binary64) (*.f64 a c)) b)) a))
(*.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 c (*.f64 a #s(literal 3/2 binary64))) b)) (/.f64 #s(literal 1/3 binary64) a))
(*.f64 (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) #s(literal 1/3 binary64))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (/.f64 #s(literal -3/2 binary64) b) (*.f64 a c))) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (*.f64 #s(literal 1/3 binary64) #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 c (*.f64 a #s(literal 3/2 binary64))) b))) a)
(/.f64 (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 a c) (/.f64 #s(literal -3/2 binary64) b))) #s(literal 1/3 binary64)) a)
(/.f64 (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) #s(literal 1/3 binary64)) a)
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (*.f64 b (fma.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a))))
(*.f64 #s(approx (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b c) #s(literal 3/2 binary64)))) #s(literal 1/3 binary64))
(*.f64 #s(approx (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) (fma.f64 (/.f64 b a) #s(literal 2 binary64) (*.f64 (/.f64 c b) #s(literal -3/2 binary64)))) #s(literal 1/3 binary64))
(/.f64 (*.f64 (-.f64 (sqrt.f64 #s(approx (+ (* b b) (* a (* -3 c))) (*.f64 c (*.f64 a #s(literal -3 binary64))))) b) #s(literal 1/3 binary64)) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 c (/.f64 #s(literal -1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)))
#s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 a (*.f64 c #s(literal -3 binary64)))))) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b))
(*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b))
(*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal 1/3 binary64))
(/.f64 (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64)) a)
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 b #s(literal -2/3 binary64)) a))
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))
Calls

1 calls:

17.0ms
b
Results
AccuracySegmentsBranch
88.7%3b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes15.0ms (0.1%)

Memory
-15.7MiB live, 21.7MiB allocated
Counts
39 → 3
Calls
Call 1
Inputs
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (*.f64 (/.f64 #s(literal 2/3 binary64) a) b))
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (*.f64 (/.f64 b a) #s(literal 2/3 binary64)))
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b))
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (*.f64 b #s(literal 2/3 binary64)) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal -2/3 binary64) a) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 b (*.f64 a #s(literal -3/2 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 b #s(literal -2/3 binary64)) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))
#s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (*.f64 (/.f64 b a) #s(literal -2/3 binary64)))
#s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b #s(literal -2/3 binary64))))
(*.f64 #s(approx (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) (*.f64 (/.f64 c b) #s(literal 3/2 binary64))) #s(literal 1/3 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) 1/3) (*.f64 b #s(literal 2/3 binary64))))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 b #s(literal -2 binary64))) (*.f64 #s(literal 3 binary64) a))
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (/.f64 b #s(literal 3/2 binary64)) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -2/3 binary64) (/.f64 a b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (/.f64 b #s(literal -3/2 binary64)) a))
(*.f64 #s(approx (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) (*.f64 c (*.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 3/2 binary64)))) #s(literal 1/3 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) 1/3) (/.f64 b #s(literal 3/2 binary64))))
(/.f64 (/.f64 (-.f64 b #s(approx (sqrt (+ (* a (* -3 c)) (* b b))) (neg.f64 b))) a) #s(literal -3 binary64))
#s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) #s(approx (/ (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) b) (/.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c a)) c) (*.f64 b (*.f64 b b)))))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 #s(literal -3/2 binary64) (*.f64 a c)) b)) a))
(*.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 c (*.f64 a #s(literal 3/2 binary64))) b)) (/.f64 #s(literal 1/3 binary64) a))
(*.f64 (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) #s(literal 1/3 binary64))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (/.f64 #s(literal -3/2 binary64) b) (*.f64 a c))) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (*.f64 #s(literal 1/3 binary64) #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 c (*.f64 a #s(literal 3/2 binary64))) b))) a)
(/.f64 (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 a c) (/.f64 #s(literal -3/2 binary64) b))) #s(literal 1/3 binary64)) a)
(/.f64 (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) #s(literal 1/3 binary64)) a)
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (*.f64 b (fma.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a))))
(*.f64 #s(approx (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b c) #s(literal 3/2 binary64)))) #s(literal 1/3 binary64))
(*.f64 #s(approx (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) (fma.f64 (/.f64 b a) #s(literal 2 binary64) (*.f64 (/.f64 c b) #s(literal -3/2 binary64)))) #s(literal 1/3 binary64))
(/.f64 (*.f64 (-.f64 (sqrt.f64 #s(approx (+ (* b b) (* a (* -3 c))) (*.f64 c (*.f64 a #s(literal -3 binary64))))) b) #s(literal 1/3 binary64)) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 c (/.f64 #s(literal -1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)))
#s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 a (*.f64 c #s(literal -3 binary64)))))) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b))
(*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 b #s(literal -2/3 binary64)) a))
(*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))
Calls

1 calls:

13.0ms
b
Results
AccuracySegmentsBranch
88.7%3b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes13.0ms (0.1%)

Memory
20.1MiB live, 20.1MiB allocated
Counts
38 → 3
Calls
Call 1
Inputs
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (*.f64 (/.f64 #s(literal 2/3 binary64) a) b))
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (*.f64 (/.f64 b a) #s(literal 2/3 binary64)))
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b))
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (*.f64 b #s(literal 2/3 binary64)) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal -2/3 binary64) a) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 b (*.f64 a #s(literal -3/2 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 b #s(literal -2/3 binary64)) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))
#s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (*.f64 (/.f64 b a) #s(literal -2/3 binary64)))
#s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b #s(literal -2/3 binary64))))
(*.f64 #s(approx (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) (*.f64 (/.f64 c b) #s(literal 3/2 binary64))) #s(literal 1/3 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) 1/3) (*.f64 b #s(literal 2/3 binary64))))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 b #s(literal -2 binary64))) (*.f64 #s(literal 3 binary64) a))
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (/.f64 b #s(literal 3/2 binary64)) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -2/3 binary64) (/.f64 a b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (/.f64 b #s(literal -3/2 binary64)) a))
(*.f64 #s(approx (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) (*.f64 c (*.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 3/2 binary64)))) #s(literal 1/3 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) 1/3) (/.f64 b #s(literal 3/2 binary64))))
(/.f64 (/.f64 (-.f64 b #s(approx (sqrt (+ (* a (* -3 c)) (* b b))) (neg.f64 b))) a) #s(literal -3 binary64))
#s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) #s(approx (/ (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) b) (/.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c a)) c) (*.f64 b (*.f64 b b)))))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 #s(literal -3/2 binary64) (*.f64 a c)) b)) a))
(*.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 c (*.f64 a #s(literal 3/2 binary64))) b)) (/.f64 #s(literal 1/3 binary64) a))
(*.f64 (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) #s(literal 1/3 binary64))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (/.f64 #s(literal -3/2 binary64) b) (*.f64 a c))) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (*.f64 #s(literal 1/3 binary64) #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 c (*.f64 a #s(literal 3/2 binary64))) b))) a)
(/.f64 (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 a c) (/.f64 #s(literal -3/2 binary64) b))) #s(literal 1/3 binary64)) a)
(/.f64 (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) #s(literal 1/3 binary64)) a)
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (*.f64 b (fma.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a))))
(*.f64 #s(approx (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b c) #s(literal 3/2 binary64)))) #s(literal 1/3 binary64))
(*.f64 #s(approx (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) (fma.f64 (/.f64 b a) #s(literal 2 binary64) (*.f64 (/.f64 c b) #s(literal -3/2 binary64)))) #s(literal 1/3 binary64))
(/.f64 (*.f64 (-.f64 (sqrt.f64 #s(approx (+ (* b b) (* a (* -3 c))) (*.f64 c (*.f64 a #s(literal -3 binary64))))) b) #s(literal 1/3 binary64)) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 c (/.f64 #s(literal -1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)))
#s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 a (*.f64 c #s(literal -3 binary64)))))) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 #s(approx (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))) b))
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (/.f64 b #s(literal -3/2 binary64)) a))
(/.f64 (*.f64 (-.f64 (sqrt.f64 #s(approx (+ (* b b) (* a (* -3 c))) (*.f64 c (*.f64 a #s(literal -3 binary64))))) b) #s(literal 1/3 binary64)) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))
Calls

1 calls:

11.0ms
b
Results
AccuracySegmentsBranch
83.5%3b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes27.0ms (0.3%)

Memory
-10.7MiB live, 32.1MiB allocated
Counts
33 → 2
Calls
Call 1
Inputs
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (*.f64 (/.f64 #s(literal 2/3 binary64) a) b))
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (*.f64 (/.f64 b a) #s(literal 2/3 binary64)))
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b))
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (*.f64 b #s(literal 2/3 binary64)) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal -2/3 binary64) a) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 b (*.f64 a #s(literal -3/2 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 b #s(literal -2/3 binary64)) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))
#s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (*.f64 (/.f64 b a) #s(literal -2/3 binary64)))
#s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b #s(literal -2/3 binary64))))
(*.f64 #s(approx (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) (*.f64 (/.f64 c b) #s(literal 3/2 binary64))) #s(literal 1/3 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) 1/3) (*.f64 b #s(literal 2/3 binary64))))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 b #s(literal -2 binary64))) (*.f64 #s(literal 3 binary64) a))
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (/.f64 b #s(literal 3/2 binary64)) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -2/3 binary64) (/.f64 a b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (/.f64 b #s(literal -3/2 binary64)) a))
(*.f64 #s(approx (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) (*.f64 c (*.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 3/2 binary64)))) #s(literal 1/3 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) 1/3) (/.f64 b #s(literal 3/2 binary64))))
(/.f64 (/.f64 (-.f64 b #s(approx (sqrt (+ (* a (* -3 c)) (* b b))) (neg.f64 b))) a) #s(literal -3 binary64))
#s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) #s(approx (/ (+ (* -3/8 (/ (* a (* c c)) (* b b))) (* c -1/2)) b) (/.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c a)) c) (*.f64 b (*.f64 b b)))))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 #s(literal -3/2 binary64) (*.f64 a c)) b)) a))
(*.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 c (*.f64 a #s(literal 3/2 binary64))) b)) (/.f64 #s(literal 1/3 binary64) a))
(*.f64 (/.f64 #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) a) #s(literal 1/3 binary64))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (/.f64 #s(literal -3/2 binary64) b) (*.f64 a c))) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (*.f64 #s(literal 1/3 binary64) #s(approx (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (*.f64 c (*.f64 a #s(literal 3/2 binary64))) b))) a)
(/.f64 (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 a c) (/.f64 #s(literal -3/2 binary64) b))) #s(literal 1/3 binary64)) a)
(/.f64 (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) #s(literal 1/3 binary64)) a)
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (*.f64 b (fma.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a))))
(*.f64 #s(approx (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b c) #s(literal 3/2 binary64)))) #s(literal 1/3 binary64))
(*.f64 #s(approx (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) (fma.f64 (/.f64 b a) #s(literal 2 binary64) (*.f64 (/.f64 c b) #s(literal -3/2 binary64)))) #s(literal 1/3 binary64))
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (/.f64 b #s(literal -3/2 binary64)) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))
Calls

2 calls:

16.0ms
b
9.0ms
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
Results
AccuracySegmentsBranch
52.7%4(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
69.5%2b
Compiler

Compiled 24 to 15 computations (37.5% saved)

regimes7.0ms (0.1%)

Memory
10.2MiB live, 10.2MiB allocated
Counts
16 → 2
Calls
Call 1
Inputs
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (*.f64 (/.f64 #s(literal 2/3 binary64) a) b))
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (*.f64 (/.f64 b a) #s(literal 2/3 binary64)))
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b))
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (*.f64 b #s(literal 2/3 binary64)) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal -2/3 binary64) a) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 b (*.f64 a #s(literal -3/2 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 b #s(literal -2/3 binary64)) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))
#s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (*.f64 (/.f64 b a) #s(literal -2/3 binary64)))
#s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b #s(literal -2/3 binary64))))
(*.f64 #s(approx (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) (*.f64 (/.f64 c b) #s(literal 3/2 binary64))) #s(literal 1/3 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) 1/3) (*.f64 b #s(literal 2/3 binary64))))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 b #s(literal -2 binary64))) (*.f64 #s(literal 3 binary64) a))
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (/.f64 b #s(literal 3/2 binary64)) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -2/3 binary64) (/.f64 a b)))
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 b #s(literal -2/3 binary64)) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))
Calls

1 calls:

6.0ms
b
Results
AccuracySegmentsBranch
69.4%2b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes18.0ms (0.2%)

Memory
-6.7MiB live, 31.1MiB allocated
Counts
7 → 2
Calls
Call 1
Inputs
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (*.f64 (/.f64 #s(literal 2/3 binary64) a) b))
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (*.f64 (/.f64 b a) #s(literal 2/3 binary64)))
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b))
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (*.f64 b #s(literal 2/3 binary64)) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal -2/3 binary64) a) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 b (*.f64 a #s(literal -3/2 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 b #s(literal -2/3 binary64)) a))
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 b #s(literal -2/3 binary64)) a))
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b))
Calls

5 calls:

3.0ms
c
3.0ms
a
3.0ms
(*.f64 #s(literal 3 binary64) a)
3.0ms
b
3.0ms
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
Results
AccuracySegmentsBranch
34.1%1(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
34.1%1a
34.1%1(*.f64 #s(literal 3 binary64) a)
34.1%1c
45.0%2b
Compiler

Compiled 38 to 26 computations (31.6% saved)

regimes3.0ms (0%)

Memory
10.7MiB live, 10.7MiB allocated
Counts
6 → 2
Calls
Call 1
Inputs
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (*.f64 (/.f64 #s(literal 2/3 binary64) a) b))
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (*.f64 (/.f64 b a) #s(literal 2/3 binary64)))
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b))
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (*.f64 b #s(literal 2/3 binary64)) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal -2/3 binary64) a) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 b (*.f64 a #s(literal -3/2 binary64))))
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 b (*.f64 a #s(literal -3/2 binary64))))
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b))
Calls

1 calls:

3.0ms
b
Results
AccuracySegmentsBranch
45.0%2b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes5.0ms (0.1%)

Memory
-25.8MiB live, 10.6MiB allocated
Counts
5 → 2
Calls
Call 1
Inputs
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (*.f64 (/.f64 #s(literal 2/3 binary64) a) b))
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (*.f64 (/.f64 b a) #s(literal 2/3 binary64)))
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b))
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (*.f64 b #s(literal 2/3 binary64)) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal -2/3 binary64) a) b))
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal -2/3 binary64) a) b))
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b))
Calls

1 calls:

5.0ms
b
Results
AccuracySegmentsBranch
45.0%2b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes13.0ms (0.1%)

Memory
0.9MiB live, 39.2MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (*.f64 (/.f64 #s(literal 2/3 binary64) a) b))
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (*.f64 (/.f64 b a) #s(literal 2/3 binary64)))
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b))
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (*.f64 b #s(literal 2/3 binary64)) a))
Outputs
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b))
Calls

5 calls:

3.0ms
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
2.0ms
(*.f64 #s(literal 3 binary64) a)
2.0ms
c
2.0ms
b
2.0ms
a
Results
AccuracySegmentsBranch
13.8%1a
13.8%1(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
13.8%1(*.f64 #s(literal 3 binary64) a)
13.8%1c
13.8%1b
Compiler

Compiled 38 to 26 computations (31.6% saved)

regimes8.0ms (0.1%)

Memory
16.3MiB live, 16.3MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (*.f64 (/.f64 #s(literal 2/3 binary64) a) b))
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (*.f64 (/.f64 b a) #s(literal 2/3 binary64)))
Outputs
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (*.f64 (/.f64 #s(literal 2/3 binary64) a) b))
Calls

5 calls:

2.0ms
(*.f64 #s(literal 3 binary64) a)
2.0ms
c
1.0ms
a
1.0ms
b
1.0ms
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
Results
AccuracySegmentsBranch
2.5%1b
2.5%1a
2.5%1(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
2.5%1(*.f64 #s(literal 3 binary64) a)
2.5%1c
Compiler

Compiled 38 to 26 computations (31.6% saved)

bsearch50.0ms (0.5%)

Memory
4.3MiB live, 75.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
26.0ms
2.54469367422963e-97
6.628481752312965e-94
19.0ms
-1.2988362931764609e+129
-2.6395316068336857e+126
Samples
15.0ms207×0valid
10.0ms35×1valid
3.0ms14×2valid
2.0ms33×0invalid
Compiler

Compiled 503 to 354 computations (29.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-sqrt: 8.0ms (36.8% of total)
ival-mult: 5.0ms (23% of total)
ival-div: 2.0ms (9.2% of total)
ival-sub: 2.0ms (9.2% of total)
ival-add: 2.0ms (9.2% of total)
adjust: 1.0ms (4.6% of total)
ival-neg: 1.0ms (4.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch7.0ms (0.1%)

Memory
10.2MiB live, 10.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
predicate-same
Steps
TimeLeftRight
1.0ms
2.54469367422963e-97
6.628481752312965e-94
5.0ms
-2.0053663914873607e+160
-1.0576814267516462e+153
Samples
3.0ms48×0valid
Compiler

Compiled 342 to 238 computations (30.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-mult: 1.0ms (44.9% 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)

bsearch16.0ms (0.2%)

Memory
-16.9MiB live, 19.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
2.54469367422963e-97
6.628481752312965e-94
14.0ms
-1.315269857975148e+130
-1.2988362931764609e+129
Samples
10.0ms96×0valid
0.0ms0invalid
Compiler

Compiled 429 to 298 computations (30.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult: 5.0ms (66.4% of total)
ival-div: 1.0ms (13.3% of total)
ival-sqrt: 1.0ms (13.3% 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)
exact: 0.0ms (0% of total)
ival-neg: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
3.0MiB live, 3.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
2.54469367422963e-97
6.628481752312965e-94
1.0ms
-1.315269857975148e+130
-1.2988362931764609e+129
Compiler

Compiled 429 to 298 computations (30.5% saved)

bsearch18.0ms (0.2%)

Memory
8.9MiB live, 44.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
7.0ms
2.54469367422963e-97
6.628481752312965e-94
9.0ms
-6.458085349822059e-121
-3.5391871566100113e-121
Samples
5.0ms76×0valid
2.0ms24×0invalid
1.0ms2valid
0.0ms1valid
Compiler

Compiled 347 to 246 computations (29.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 2.0ms (39.6% of total)
ival-div: 1.0ms (19.8% of total)
ival-sub: 1.0ms (19.8% of total)
ival-sqrt: 1.0ms (19.8% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-neg: 0.0ms (0% of total)

bsearch43.0ms (0.4%)

Memory
-11.6MiB live, 52.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
40.0ms
-1.8276672933739126e-300
1.879162137411249e-300
Samples
12.0ms160×0valid
6.0ms88×0invalid
Compiler

Compiled 223 to 158 computations (29.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 4.0ms (35.1% of total)
ival-div: 2.0ms (17.5% of total)
ival-sqrt: 2.0ms (17.5% of total)
ival-add: 1.0ms (8.8% of total)
ival-sub: 1.0ms (8.8% of total)
ival-neg: 1.0ms (8.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
-1.8276672933739126e-300
1.879162137411249e-300
Compiler

Compiled 223 to 158 computations (29.1% saved)

bsearch29.0ms (0.3%)

Memory
1.7MiB live, 40.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
26.0ms
3.010704076887358e+42
2.803261762718981e+46
Samples
9.0ms46×2valid
6.0ms43×1valid
3.0ms10×3valid
2.0ms29×0valid
1.0ms0invalid
Compiler

Compiled 183 to 130 computations (29% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
adjust: 3.0ms (19.8% of total)
ival-sqrt: 3.0ms (19.8% of total)
ival-mult: 3.0ms (19.8% of total)
ival-div: 2.0ms (13.2% of total)
ival-sub: 2.0ms (13.2% of total)
ival-add: 1.0ms (6.6% of total)
ival-neg: 1.0ms (6.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
3.010704076887358e+42
2.803261762718981e+46
Compiler

Compiled 183 to 130 computations (29% saved)

bsearch1.0ms (0%)

Memory
1.9MiB live, 1.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
3.010704076887358e+42
2.803261762718981e+46
Compiler

Compiled 183 to 130 computations (29% saved)

simplify14.0ms (0.1%)

Memory
-18.3MiB live, 20.9MiB allocated
Algorithm
egg-herbie
Rules
34×*-commutative_binary64
12×+-commutative_binary64
10×sub-neg_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0108644
1132643
2140643
3143643
4144643
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 b #s(literal -1259999999999999979284288486313492053390250327694540779418916825029046780800677325126183784949940911511881934740802891745945714688 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 b #s(literal -2/3 binary64)) a)) (if (<=.f64 b #s(literal 3757668132438133/9394170331095332911557922387157348109502730195633279482829163886128836100458433773854795993539074812127739904 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))))
(if (<=.f64 b #s(literal -50000000000000000358811577045508415204030740594580155903356386073125330840244170064133303492288094665193286906648381068130040767114734612976366826838556672 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 b #s(literal -2/3 binary64)) a)) (if (<=.f64 b #s(literal 3757668132438133/9394170331095332911557922387157348109502730195633279482829163886128836100458433773854795993539074812127739904 binary64)) (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))))
(if (<=.f64 b #s(literal -3200000000000000240558358132858267607908573005927706283145309127544850960775728654926531523512825713370451056124328084245368012800 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 b #s(literal -2/3 binary64)) a)) (if (<=.f64 b #s(literal 3757668132438133/9394170331095332911557922387157348109502730195633279482829163886128836100458433773854795993539074812127739904 binary64)) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))))
(if (<=.f64 b #s(literal -3200000000000000240558358132858267607908573005927706283145309127544850960775728654926531523512825713370451056124328084245368012800 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 b #s(literal -2/3 binary64)) a)) (if (<=.f64 b #s(literal 3757668132438133/9394170331095332911557922387157348109502730195633279482829163886128836100458433773854795993539074812127739904 binary64)) (*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))))
(if (<=.f64 b #s(literal -7442828536787015/11629419588729710248789180926208072549658261770997088964503843186890228609814366773219056811420217048972200345700258846936553626057834496 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (/.f64 b #s(literal -3/2 binary64)) a)) (if (<=.f64 b #s(literal 7139569451632453/18788340662190665823115844774314696219005460391266558965658327772257672200916867547709591987078149624255479808 binary64)) (/.f64 (*.f64 (-.f64 (sqrt.f64 #s(approx (+ (* b b) (* a (* -3 c))) (*.f64 c (*.f64 a #s(literal -3 binary64))))) b) #s(literal 1/3 binary64)) a) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))))
(if (<=.f64 b #s(literal 2428827039687727/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (/.f64 b #s(literal -3/2 binary64)) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)))
(if (<=.f64 b #s(literal 2428827039687727/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 b #s(literal -2/3 binary64)) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)))
(if (<=.f64 b #s(literal 3100000000000000154619959793102595471441920 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 b #s(literal -2/3 binary64)) a)) #s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b)))
(if (<=.f64 b #s(literal 3100000000000000154619959793102595471441920 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 b (*.f64 a #s(literal -3/2 binary64)))) #s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b)))
(if (<=.f64 b #s(literal 3100000000000000154619959793102595471441920 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal -2/3 binary64) a) b)) #s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b)))
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b))
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (*.f64 (/.f64 #s(literal 2/3 binary64) a) b))
Outputs
(if (<=.f64 b #s(literal -1259999999999999979284288486313492053390250327694540779418916825029046780800677325126183784949940911511881934740802891745945714688 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 b #s(literal -2/3 binary64)) a)) (if (<=.f64 b #s(literal 3757668132438133/9394170331095332911557922387157348109502730195633279482829163886128836100458433773854795993539074812127739904 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))))
(if (<=.f64 b #s(literal -1259999999999999979284288486313492053390250327694540779418916825029046780800677325126183784949940911511881934740802891745945714688 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 b #s(literal -2/3 binary64)) a)) (if (<=.f64 b #s(literal 3757668132438133/9394170331095332911557922387157348109502730195633279482829163886128836100458433773854795993539074812127739904 binary64)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) b) (*.f64 #s(literal 3 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))))
(if (<=.f64 b #s(literal -50000000000000000358811577045508415204030740594580155903356386073125330840244170064133303492288094665193286906648381068130040767114734612976366826838556672 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 b #s(literal -2/3 binary64)) a)) (if (<=.f64 b #s(literal 3757668132438133/9394170331095332911557922387157348109502730195633279482829163886128836100458433773854795993539074812127739904 binary64)) (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) #s(literal 1/3 binary64)) a) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))))
(if (<=.f64 b #s(literal -50000000000000000358811577045508415204030740594580155903356386073125330840244170064133303492288094665193286906648381068130040767114734612976366826838556672 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 b #s(literal -2/3 binary64)) a)) (if (<=.f64 b #s(literal 3757668132438133/9394170331095332911557922387157348109502730195633279482829163886128836100458433773854795993539074812127739904 binary64)) (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) #s(literal 1/3 binary64)) a) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))))
(if (<=.f64 b #s(literal -3200000000000000240558358132858267607908573005927706283145309127544850960775728654926531523512825713370451056124328084245368012800 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 b #s(literal -2/3 binary64)) a)) (if (<=.f64 b #s(literal 3757668132438133/9394170331095332911557922387157348109502730195633279482829163886128836100458433773854795993539074812127739904 binary64)) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))))
(if (<=.f64 b #s(literal -3200000000000000240558358132858267607908573005927706283145309127544850960775728654926531523512825713370451056124328084245368012800 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 b #s(literal -2/3 binary64)) a)) (if (<=.f64 b #s(literal 3757668132438133/9394170331095332911557922387157348109502730195633279482829163886128836100458433773854795993539074812127739904 binary64)) (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) (/.f64 #s(literal 1/3 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))))
(if (<=.f64 b #s(literal -3200000000000000240558358132858267607908573005927706283145309127544850960775728654926531523512825713370451056124328084245368012800 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 b #s(literal -2/3 binary64)) a)) (if (<=.f64 b #s(literal 3757668132438133/9394170331095332911557922387157348109502730195633279482829163886128836100458433773854795993539074812127739904 binary64)) (*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))))
(if (<=.f64 b #s(literal -3200000000000000240558358132858267607908573005927706283145309127544850960775728654926531523512825713370451056124328084245368012800 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 b #s(literal -2/3 binary64)) a)) (if (<=.f64 b #s(literal 3757668132438133/9394170331095332911557922387157348109502730195633279482829163886128836100458433773854795993539074812127739904 binary64)) (*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))))
(if (<=.f64 b #s(literal -7442828536787015/11629419588729710248789180926208072549658261770997088964503843186890228609814366773219056811420217048972200345700258846936553626057834496 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (/.f64 b #s(literal -3/2 binary64)) a)) (if (<=.f64 b #s(literal 7139569451632453/18788340662190665823115844774314696219005460391266558965658327772257672200916867547709591987078149624255479808 binary64)) (/.f64 (*.f64 (-.f64 (sqrt.f64 #s(approx (+ (* b b) (* a (* -3 c))) (*.f64 c (*.f64 a #s(literal -3 binary64))))) b) #s(literal 1/3 binary64)) a) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))))
(if (<=.f64 b #s(literal -7442828536787015/11629419588729710248789180926208072549658261770997088964503843186890228609814366773219056811420217048972200345700258846936553626057834496 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (/.f64 b #s(literal -3/2 binary64)) a)) (if (<=.f64 b #s(literal 7139569451632453/18788340662190665823115844774314696219005460391266558965658327772257672200916867547709591987078149624255479808 binary64)) (/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 #s(approx (+ (* b b) (* a (* -3 c))) (*.f64 c (*.f64 a #s(literal -3 binary64))))) b)) a) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))))
(if (<=.f64 b #s(literal 2428827039687727/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (/.f64 b #s(literal -3/2 binary64)) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)))
(if (<=.f64 b #s(literal 2428827039687727/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 b #s(literal -2/3 binary64)) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)))
(if (<=.f64 b #s(literal 3100000000000000154619959793102595471441920 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 b #s(literal -2/3 binary64)) a)) #s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b)))
(if (<=.f64 b #s(literal 3100000000000000154619959793102595471441920 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 b #s(literal -2/3 binary64)) a)) #s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b)))
(if (<=.f64 b #s(literal 3100000000000000154619959793102595471441920 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 b (*.f64 a #s(literal -3/2 binary64)))) #s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b)))
(if (<=.f64 b #s(literal 3100000000000000154619959793102595471441920 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 b (*.f64 a #s(literal -3/2 binary64)))) #s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b)))
(if (<=.f64 b #s(literal 3100000000000000154619959793102595471441920 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal -2/3 binary64) a) b)) #s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b)))
(if (<=.f64 b #s(literal 3100000000000000154619959793102595471441920 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 b (/.f64 #s(literal -2/3 binary64) a))) #s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b)))
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b))
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b))
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (*.f64 (/.f64 #s(literal 2/3 binary64) a) b))
#s(approx (* (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) 1/3) (*.f64 b (/.f64 #s(literal 2/3 binary64) a)))

soundness1.1s (10.7%)

Memory
5.9MiB live, 841.0MiB allocated
Rules
11 412×lower-fma.f64
11 412×lower-fma.f32
10 788×lower-fma.f64
10 788×lower-fma.f32
9 010×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055331
078324
1295322
21876316
08405313
099213493
1327813395
0856712771
039209
060207
1209201
21517201
09166201
05603466
117673443
262153400
082643230
0109712305
1364712203
0821711655
056280
083276
1302268
21985260
08577260
01251
02051
17149
252548
3683648
0812544
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 721 to 370 computations (48.7% saved)

preprocess79.0ms (0.8%)

Memory
4.3MiB live, 160.2MiB allocated
Compiler

Compiled 576 to 190 computations (67% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...