Cubic critical, narrow range

Time bar (total: 11.2s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze276.0ms (2.5%)

Memory
-5.0MiB live, 434.6MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%0%100%0%0%0%0
0%0%0%100%0%0%0%1
0%0%0%100%0%0%0%2
0%0%0%100%0%0%0%3
0%0%0%100%0%0%0%4
0%0%0%100%0%0%0%5
0%0%0%100%0%0%0%6
0%0%0%100%0%0%0%7
2.3%0%0%100%0%0%0%8
11.3%0%0%100%0%0%0%9
21.1%0%0%100%0%0%0%10
28%0%0%100%0%0%0%11
40.1%0%0%100%0%0%0%12
Compiler

Compiled 41 to 26 computations (36.6% saved)

sample2.4s (21.2%)

Memory
101.6MiB live, 3 852.3MiB allocated
Samples
924.0ms5 579×0valid
749.0ms2 677×1valid
183.0ms1 309×0invalid
Precisions
Click to see histograms. Total time spent on operations: 1.4s
const: 349.0ms (24.3% of total)
ival-<: 242.0ms (16.9% of total)
ival-mult: 233.0ms (16.3% of total)
ival-sqrt: 148.0ms (10.3% of total)
ival-div: 140.0ms (9.8% of total)
adjust: 100.0ms (7% of total)
ival-sub: 72.0ms (5% of total)
ival-add: 60.0ms (4.2% of total)
ival-neg: 47.0ms (3.3% of total)
ival-and: 33.0ms (2.3% of total)
exact: 6.0ms (0.4% of total)
ival-assert: 4.0ms (0.3% of total)
Bogosity

explain159.0ms (1.4%)

Memory
-19.2MiB live, 307.2MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2341(4.289573561498517e-6 100.76576746270945 15539129.32880729)4(2.4792210280927883e-5 3.4994188252573726 4017.4302157430884)(+.f64 (neg.f64 b) (sqrt.f64 (-.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-(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))
00-0-(/.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))
00-0-(neg.f64 b)
01(32.70033485319277 0.011639674638242635 1.3712121385278416e-6)0-(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))
00-0-b
00-0-(*.f64 #s(literal 3 binary64) a)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
+.f64(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))))cancellation2318
-.f64(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))cancellation10
Confusion
Predicted +Predicted -
+2305
-219
Precision
0.9913793103448276
Recall
0.9787234042553191
Confusion?
Predicted +Predicted MaybePredicted -
+23050
-2316
Precision?
0.9791666666666666
Recall?
1.0
Freqs
test
numberfreq
024
1232
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
33.0ms188×1valid
32.0ms324×0valid
Compiler

Compiled 153 to 40 computations (73.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 43.0ms
ival-mult: 10.0ms (23.2% of total)
ival-sqrt: 10.0ms (23.2% of total)
adjust: 7.0ms (16.3% of total)
ival-div: 5.0ms (11.6% of total)
ival-neg: 4.0ms (9.3% of total)
ival-add: 3.0ms (7% of total)
ival-sub: 3.0ms (7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess117.0ms (1%)

Memory
31.0MiB live, 107.5MiB 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 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))
Compiler

Compiled 17 to 12 computations (29.4% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory
2.1MiB live, 2.1MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.8%
(/.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 17 to 12 computations (29.4% saved)

simplify77.0ms (0.7%)

Memory
-34.1MiB live, 86.7MiB 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 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))))
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)
(neg.f64 b)
b
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))
(*.f64 b b)
(*.f64 (*.f64 #s(literal 3 binary64) a) c)
(*.f64 c (*.f64 a #s(literal 3 binary64)))
(*.f64 #s(literal 3 binary64) a)
(*.f64 a #s(literal 3 binary64))
#s(literal 3 binary64)
a
c

localize36.0ms (0.3%)

Memory
28.8MiB live, 67.7MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.25937009254663357
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))
accuracy0.29296875
(*.f64 (*.f64 #s(literal 3 binary64) a) c)
accuracy0.34994125976844204
(/.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))
accuracy30.687309064258702
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))))
Samples
15.0ms94×1valid
12.0ms162×0valid
Compiler

Compiled 68 to 14 computations (79.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-mult: 7.0ms (39.5% of total)
ival-div: 2.0ms (11.3% of total)
adjust: 2.0ms (11.3% of total)
ival-add: 2.0ms (11.3% of total)
ival-sub: 2.0ms (11.3% of total)
ival-sqrt: 2.0ms (11.3% of total)
ival-neg: 1.0ms (5.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series30.0ms (0.3%)

Memory
-7.6MiB live, 32.5MiB allocated
Counts
5 → 144
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 (*.f64 (*.f64 #s(literal 3 binary64) a) c) (patch (*.f64 (*.f64 #s(literal 3 binary64) a) c) #<representation binary64>) () ())
Outputs
#s(alt (* -3/2 (/ (* a c) b)) (taylor 0 c) (#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 (* 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 (-.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 (* 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 (-.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 (* 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)))))))) (taylor 0 c) (#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 (pow b 2) (taylor 0 c) (#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 (+ (* -3 (* a c)) (pow b 2)) (taylor 0 c) (#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 (+ (* -3 (* a c)) (pow b 2)) (taylor 0 c) (#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 (+ (* -3 (* a c)) (pow b 2)) (taylor 0 c) (#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 (* -1/2 (/ c b)) (taylor 0 c) (#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 (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#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 (* 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 (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 (* 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 (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 (* 3 (* a c)) (taylor 0 c) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) a) c) (patch (*.f64 (*.f64 #s(literal 3 binary64) a) c) #<representation binary64>) () ())) ())
#s(alt (* 3 (* a c)) (taylor 0 c) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) a) c) (patch (*.f64 (*.f64 #s(literal 3 binary64) a) c) #<representation binary64>) () ())) ())
#s(alt (* 3 (* a c)) (taylor 0 c) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) a) c) (patch (*.f64 (*.f64 #s(literal 3 binary64) a) c) #<representation binary64>) () ())) ())
#s(alt (* 3 (* a c)) (taylor 0 c) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) a) c) (patch (*.f64 (*.f64 #s(literal 3 binary64) a) c) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (* a c)) (sqrt -3)) (taylor inf c) (#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 (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3)))) (taylor inf c) (#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 (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c))) (taylor inf c) (#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 (* 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))) (taylor inf c) (#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 (* a c)) (taylor inf c) (#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 (* c (- (/ (pow b 2) c) (* 3 a))) (taylor inf c) (#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 (* c (- (/ (pow b 2) c) (* 3 a))) (taylor inf c) (#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 (* c (- (/ (pow b 2) c) (* 3 a))) (taylor inf c) (#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 (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (taylor inf c) (#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 (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) (taylor inf c) (#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>) () ())) ())
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#s(alt (+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) (taylor -inf a) (#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 (+ (* -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 (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 (+ (* -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 (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 (* 3 (* a c)) (taylor -inf a) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) a) c) (patch (*.f64 (*.f64 #s(literal 3 binary64) a) c) #<representation binary64>) () ())) ())
#s(alt (* 3 (* a c)) (taylor -inf a) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) a) c) (patch (*.f64 (*.f64 #s(literal 3 binary64) a) c) #<representation binary64>) () ())) ())
#s(alt (* 3 (* a c)) (taylor -inf a) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) a) c) (patch (*.f64 (*.f64 #s(literal 3 binary64) a) c) #<representation binary64>) () ())) ())
#s(alt (* 3 (* a c)) (taylor -inf a) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) a) c) (patch (*.f64 (*.f64 #s(literal 3 binary64) a) c) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
11.0ms
c
@inf
((+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (- (* b b) (* (* 3 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (neg b) (* (* 3 a) c))
3.0ms
b
@inf
((+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (- (* b b) (* (* 3 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (neg b) (* (* 3 a) c))
2.0ms
c
@0
((+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (- (* b b) (* (* 3 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (neg b) (* (* 3 a) c))
2.0ms
c
@-inf
((+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (- (* b b) (* (* 3 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (neg b) (* (* 3 a) c))
2.0ms
a
@inf
((+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (- (* b b) (* (* 3 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (neg b) (* (* 3 a) c))

simplify195.0ms (1.7%)

Memory
0.4MiB live, 193.5MiB allocated
Algorithm
egg-herbie
Rules
11 360×lower-fma.f64
11 360×lower-fma.f32
6 828×lower-*.f64
6 828×lower-*.f32
3 678×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04702458
114452441
248902418
080562302
Stop Event
iter limit
node limit
Counts
144 → 144
Calls
Call 1
Inputs
(* -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))))))))
(pow b 2)
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(* -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))))
(* 3 (* a c))
(* 3 (* a c))
(* 3 (* a c))
(* 3 (* a c))
(* (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)))
(* -3 (* a c))
(* c (- (/ (pow b 2) c) (* 3 a)))
(* c (- (/ (pow b 2) c) (* 3 a)))
(* c (- (/ (pow b 2) c) (* 3 a)))
(* 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)))))))
(* 3 (* a c))
(* 3 (* a c))
(* 3 (* a c))
(* 3 (* a 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))
(* -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 -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)))))))
(* 3 (* a c))
(* 3 (* a c))
(* 3 (* a c))
(* 3 (* a c))
(* (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 (* a c))
(- (pow b 2) (* 3 (* a c)))
(- (pow b 2) (* 3 (* a c)))
(- (pow b 2) (* 3 (* a c)))
(* 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 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -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)
(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)))))
(* -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)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 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))))))))
(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)))))
(* -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 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -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))))))))
(pow b 2)
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(* -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)))))))
(* 3 (* a c))
(* 3 (* a c))
(* 3 (* a c))
(* 3 (* a c))
(* (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)))
(* -3 (* a c))
(* a (- (/ (pow b 2) a) (* 3 c)))
(* a (- (/ (pow b 2) a) (* 3 c)))
(* a (- (/ (pow b 2) a) (* 3 c)))
(* 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))))))
(* 3 (* a c))
(* 3 (* a c))
(* 3 (* a c))
(* 3 (* a c))
(* -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 (* 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))))
(* -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)))))
(* 3 (* a c))
(* 3 (* a c))
(* 3 (* a c))
(* 3 (* a c))
Outputs
(* -3/2 (/ (* a c) b))
(*.f64 (*.f64 (/.f64 c b) #s(literal -3/2 binary64)) a)
(* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))
(*.f64 (fma.f64 (*.f64 c #s(literal -9/8 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c)
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))
(*.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -27/16 binary64)) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c)
(* 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))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) c) (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -27/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c)
(pow b 2)
(*.f64 b b)
(+ (* -3 (* a c)) (pow b 2))
(fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b))
(+ (* -3 (* a c)) (pow b 2))
(fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b))
(+ (* -3 (* a c)) (pow b 2))
(fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b))
(* -1/2 (/ c b))
(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(*.f64 (fma.f64 (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) c (/.f64 #s(literal -1/2 binary64) b)) c)
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)
(* 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 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 405/64 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 c b)) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)
(* 3 (* a c))
(*.f64 #s(literal 3 binary64) (*.f64 c a))
(* 3 (* a c))
(*.f64 #s(literal 3 binary64) (*.f64 c a))
(* 3 (* a c))
(*.f64 #s(literal 3 binary64) (*.f64 c a))
(* 3 (* a c))
(*.f64 #s(literal 3 binary64) (*.f64 c a))
(* (sqrt (* a c)) (sqrt -3))
(*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (*.f64 c a)))
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (neg.f64 b) c)) c)
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c)))
(*.f64 (fma.f64 (*.f64 (*.f64 b (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (neg.f64 b) c))) 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)))
(*.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 3 binary64))))) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/24 binary64) (fma.f64 (*.f64 (*.f64 b (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (neg.f64 b) c)))) c)
(* -3 (* a c))
(*.f64 #s(literal -3 binary64) (*.f64 c a))
(* c (- (/ (pow b 2) c) (* 3 a)))
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(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -27/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -9/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a)
(pow b 2)
(*.f64 b b)
(+ (* -3 (* a c)) (pow b 2))
(fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b))
(+ (* -3 (* a c)) (pow b 2))
(fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b))
(+ (* -3 (* a c)) (pow b 2))
(fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b))
(* -1/2 (/ c b))
(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))
(fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))
(fma.f64 (fma.f64 (*.f64 a #s(literal -9/16 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
(+ (* -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 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
(* 3 (* a c))
(*.f64 #s(literal 3 binary64) (*.f64 c a))
(* 3 (* a c))
(*.f64 #s(literal 3 binary64) (*.f64 c a))
(* 3 (* a c))
(*.f64 #s(literal 3 binary64) (*.f64 c a))
(* 3 (* a c))
(*.f64 #s(literal 3 binary64) (*.f64 c a))
(* (sqrt (* a c)) (sqrt -3))
(*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (*.f64 c a)))
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (neg.f64 b) a)) a)
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a)))
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -3 binary64))))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (neg.f64 b) a))) 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 (fma.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 5 binary64)))) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/24 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -3 binary64))))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (neg.f64 b) a)))) a)
(* -3 (* a c))
(*.f64 #s(literal -3 binary64) (*.f64 c a))
(* a (- (/ (pow b 2) a) (* 3 c)))
(*.f64 (fma.f64 #s(literal -3 binary64) c (*.f64 b (/.f64 b a))) a)
(* a (- (/ (pow b 2) a) (* 3 c)))
(*.f64 (fma.f64 #s(literal -3 binary64) c (*.f64 b (/.f64 b a))) a)
(* a (- (/ (pow b 2) a) (* 3 c)))
(*.f64 (fma.f64 #s(literal -3 binary64) c (*.f64 b (/.f64 b a))) a)
(* 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 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 c a)) (*.f64 (/.f64 b a) #s(literal -1/3 binary64)))
(+ (* -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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -3 binary64))))) #s(literal 1/6 binary64) (fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 c a)) (*.f64 (/.f64 b a) #s(literal -1/3 binary64))))
(+ (* -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 1/72 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 5 binary64)))) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal -3 binary64))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -3 binary64))))) #s(literal 1/6 binary64) (fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 c a)) (*.f64 (/.f64 b a) #s(literal -1/3 binary64)))))
(* 3 (* a c))
(*.f64 #s(literal 3 binary64) (*.f64 c a))
(* 3 (* a c))
(*.f64 #s(literal 3 binary64) (*.f64 c a))
(* 3 (* a c))
(*.f64 #s(literal 3 binary64) (*.f64 c a))
(* 3 (* a c))
(*.f64 #s(literal 3 binary64) (*.f64 c a))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 (*.f64 c a))))
(* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a))))
(*.f64 (neg.f64 a) (fma.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (/.f64 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))))))
(*.f64 (neg.f64 a) (-.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (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 (neg.f64 a) (fma.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal 3 binary64))) #s(literal -1/24 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 a c)))) a) b) a)))
(* -3 (* a c))
(*.f64 #s(literal -3 binary64) (*.f64 c a))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c))))
(*.f64 (fma.f64 #s(literal -3 binary64) c (*.f64 b (/.f64 b a))) a)
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c))))
(*.f64 (fma.f64 #s(literal -3 binary64) c (*.f64 b (/.f64 b a))) a)
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c))))
(*.f64 (fma.f64 #s(literal -3 binary64) c (*.f64 b (/.f64 b a))) a)
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal -1/3 binary64)))
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))
(*.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (/.f64 b a)) #s(literal -1/3 binary64))
(+ (* -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)))))
(fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 #s(literal 1/3 binary64) b)) (neg.f64 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)))))
(fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 #s(literal 1/3 binary64) b (/.f64 (fma.f64 #s(literal 1/72 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 a c)))) (neg.f64 a))) (neg.f64 a)))
(* 3 (* a c))
(*.f64 #s(literal 3 binary64) (*.f64 c a))
(* 3 (* a c))
(*.f64 #s(literal 3 binary64) (*.f64 c a))
(* 3 (* a c))
(*.f64 #s(literal 3 binary64) (*.f64 c a))
(* 3 (* a c))
(*.f64 #s(literal 3 binary64) (*.f64 c a))

rewrite143.0ms (1.3%)

Memory
9.4MiB live, 199.0MiB 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
01246
02046
17144
252543
3683643
0812540
Stop Event
iter limit
node limit
iter limit
Counts
5 → 410
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)
(*.f64 (*.f64 #s(literal 3 binary64) a) c)
Outputs
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eval110.0ms (1%)

Memory
12.4MiB live, 172.1MiB allocated
Compiler

Compiled 17 052 to 1 916 computations (88.8% saved)

prune176.0ms (1.6%)

Memory
-40.0MiB live, 329.1MiB allocated
Pruning

48 alts after pruning (48 fresh and 0 done)

PrunedKeptTotal
New50648554
Fresh000
Picked101
Done000
Total50748555
Accuracy
98.9%
Counts
555 → 48
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.8%
(/.f64 (pow.f64 a #s(literal -1 binary64)) (*.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) #s(literal 3 binary64)))
51.5%
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a))
51.0%
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) b) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 b b))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b)) (*.f64 #s(literal 3 binary64) a))
51.8%
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64))) (*.f64 #s(literal 3 binary64) a))
51.8%
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)))
51.8%
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64)))
51.8%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))
52.0%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
51.7%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (/.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))))) (*.f64 #s(literal 3 binary64) a))
51.8%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (*.f64 b (/.f64 b a))) a)))) (*.f64 #s(literal 3 binary64) a))
51.6%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 b (/.f64 b c))) c)))) (*.f64 #s(literal 3 binary64) a))
51.9%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 (*.f64 c a) b) b) #s(literal -3 binary64) #s(literal 1 binary64)) b) b)))) (*.f64 #s(literal 3 binary64) a))
51.8%
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) #s(literal -1 binary64)))) (*.f64 #s(literal 3 binary64) a))
51.8%
(/.f64 (*.f64 (pow.f64 a #s(literal -1 binary64)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) #s(literal 3 binary64))
51.1%
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (pow.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal -1 binary64)))) (*.f64 #s(literal 3 binary64) a))
51.8%
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a)
82.2%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 c c) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b)) (*.f64 #s(literal 3 binary64) a))
91.1%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -27/16 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 c c) b) (fma.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64)))) #s(literal -1/2 binary64) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))))) b)) (*.f64 #s(literal 3 binary64) a))
91.2%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) c) (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -27/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c)) (*.f64 #s(literal 3 binary64) a))
91.2%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -27/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -9/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a)) (*.f64 #s(literal 3 binary64) a))
88.1%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -27/16 binary64)) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c)) (*.f64 #s(literal 3 binary64) a))
88.1%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -27/16 binary64) a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 c c) #s(literal -9/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a)) (*.f64 #s(literal 3 binary64) a))
82.2%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 c #s(literal -9/8 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c)) (*.f64 #s(literal 3 binary64) a))
82.3%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 a #s(literal -9/8 binary64)) (*.f64 c (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a)) (*.f64 #s(literal 3 binary64) a))
66.4%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 c b) #s(literal -3/2 binary64)) a)) (*.f64 #s(literal 3 binary64) a))
51.8%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 3 binary64)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
51.8%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a)))
51.8%
(/.f64 #s(literal 1/3 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
51.8%
(/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) a))
51.8%
(/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) (*.f64 #s(literal -3 binary64) a)))
51.1%
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (/.f64 b (*.f64 a #s(literal 3 binary64))))
51.8%
(*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) #s(literal 3 binary64)) a)))
51.8%
(*.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) (*.f64 a #s(literal 3 binary64))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))))))
51.8%
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 1/3 binary64))
51.8%
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))
51.8%
(*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 1/3 binary64)))
51.1%
(*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (*.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 3 binary64)) a)))
51.8%
(*.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) #s(literal -1 binary64)))
91.6%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
88.5%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (*.f64 a #s(literal -9/16 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
82.6%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
88.5%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (*.f64 #s(literal -1/2 binary64) c))) b))
82.5%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)) b))
91.6%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal -1/6 binary64) a) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)))) b))
91.5%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 405/64 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 c b)) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c))
88.4%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c))
82.5%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) c (/.f64 #s(literal -1/2 binary64) b)) c))
66.5%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
Compiler

Compiled 2 626 to 1 738 computations (33.8% saved)

simplify172.0ms (1.5%)

Memory
13.7MiB live, 198.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (*.f64 #s(literal -1/2 binary64) c))) b)
cost-diff0
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (*.f64 #s(literal -1/2 binary64) c))) b))
cost-diff960
(fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (*.f64 #s(literal -1/2 binary64) c)))
cost-diff6144
(fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (*.f64 #s(literal -1/2 binary64) c))
cost-diff0
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)
cost-diff0
(pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64))
cost-diff704
(/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) (*.f64 #s(literal -3 binary64) a)))
cost-diff6080
(*.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) (*.f64 #s(literal -3 binary64) a))
cost-diff0
(neg.f64 b)
cost-diff0
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 b (/.f64 b c))) c)))) (*.f64 #s(literal 3 binary64) a))
cost-diff128
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 b (/.f64 b c))) c))))
cost-diff704
(*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 b (/.f64 b c))) c)
cost-diff0
(/.f64 c b)
cost-diff0
(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
cost-diff0
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
cost-diff0
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
cost-diff320
(fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64))))
cost-diff704
(*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b))
cost-diff6144
(fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64))))
Rules
7 920×lower-fma.f32
7 906×lower-fma.f64
5 216×lower-*.f32
5 184×lower-*.f64
2 720×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
073682
0126684
1214668
2469666
31331652
43210628
55391628
08653614
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64))))
(fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64))))
(*.f64 #s(literal -1/6 binary64) a)
#s(literal -1/6 binary64)
a
(*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b))
(/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64)))
(pow.f64 c #s(literal 4 binary64))
c
#s(literal 4 binary64)
(pow.f64 b #s(literal 6 binary64))
b
#s(literal 6 binary64)
(/.f64 #s(literal 405/64 binary64) b)
#s(literal 405/64 binary64)
(/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))
(*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64))
(pow.f64 c #s(literal 3 binary64))
#s(literal 3 binary64)
#s(literal -9/16 binary64)
(pow.f64 b #s(literal 5 binary64))
#s(literal 5 binary64)
(/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))
(*.f64 (*.f64 c c) #s(literal -3/8 binary64))
(*.f64 c c)
#s(literal -3/8 binary64)
(pow.f64 b #s(literal 3 binary64))
(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
(/.f64 c b)
#s(literal -1/2 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
(/.f64 c b)
c
b
#s(literal -1/2 binary64)
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 b (/.f64 b c))) c)))) (*.f64 #s(literal 3 binary64) a))
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 b (/.f64 b c))) c))))
(neg.f64 b)
b
(sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 b (/.f64 b c))) c)))
#s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 b (/.f64 b c))) c))
(*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 b (/.f64 b c))) c)
(fma.f64 #s(literal -3 binary64) a (*.f64 b (/.f64 b c)))
#s(literal -3 binary64)
a
(*.f64 b (/.f64 b c))
(/.f64 b c)
c
(*.f64 #s(literal 3 binary64) a)
#s(literal 3 binary64)
(/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) (*.f64 #s(literal -3 binary64) a)))
#s(literal -1 binary64)
(*.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) (*.f64 #s(literal -3 binary64) a))
(pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64))
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))
(*.f64 #s(literal -3 binary64) c)
#s(literal -3 binary64)
c
a
(*.f64 b b)
b
(*.f64 #s(literal -3 binary64) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (*.f64 #s(literal -1/2 binary64) c))) b))
(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (*.f64 #s(literal -1/2 binary64) c))) b)
(fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (*.f64 #s(literal -1/2 binary64) c)))
(/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b)
(*.f64 (*.f64 c c) #s(literal -3/8 binary64))
(*.f64 c c)
c
#s(literal -3/8 binary64)
b
(/.f64 a b)
a
(fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (*.f64 #s(literal -1/2 binary64) c))
(/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64)))
(*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a)
(*.f64 (pow.f64 c #s(literal 3 binary64)) a)
(pow.f64 c #s(literal 3 binary64))
#s(literal 3 binary64)
(pow.f64 b #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal -9/16 binary64)
(*.f64 #s(literal -1/2 binary64) c)
#s(literal -1/2 binary64)
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 c (fma.f64 a (*.f64 c (fma.f64 (*.f64 (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 5 binary64))) a) c (/.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal 3 binary64))))) (/.f64 #s(literal -1/2 binary64) b)) (*.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal -135/128 binary64)) (pow.f64 b #s(literal 7 binary64))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
(fma.f64 c (fma.f64 a (*.f64 c (fma.f64 (*.f64 (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 5 binary64))) a) c (/.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal 3 binary64))))) (/.f64 #s(literal -1/2 binary64) b)) (*.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal -135/128 binary64)) (pow.f64 b #s(literal 7 binary64)))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64))))
(fma.f64 (*.f64 (/.f64 #s(literal -135/128 binary64) (pow.f64 b #s(literal 7 binary64))) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 c c) (fma.f64 (*.f64 (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 5 binary64))) a) c (/.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal 3 binary64))))))
(fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64))))
(fma.f64 #s(literal -135/128 binary64) (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) a) (pow.f64 b #s(literal 7 binary64))) (*.f64 (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64))))
(*.f64 #s(literal -1/6 binary64) a)
#s(literal -1/6 binary64)
a
(*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b))
(/.f64 (*.f64 #s(literal 405/64 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 7 binary64)))
(/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64)))
(pow.f64 c #s(literal 4 binary64))
c
#s(literal 4 binary64)
(pow.f64 b #s(literal 6 binary64))
b
#s(literal 6 binary64)
(/.f64 #s(literal 405/64 binary64) b)
#s(literal 405/64 binary64)
(/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))
(*.f64 (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64)))
(*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64))
(*.f64 #s(literal -9/16 binary64) (pow.f64 c #s(literal 3 binary64)))
(pow.f64 c #s(literal 3 binary64))
#s(literal 3 binary64)
#s(literal -9/16 binary64)
(pow.f64 b #s(literal 5 binary64))
#s(literal 5 binary64)
(/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))
(*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) (*.f64 #s(literal -3/8 binary64) c))
(*.f64 (*.f64 c c) #s(literal -3/8 binary64))
(*.f64 #s(literal -3/8 binary64) (*.f64 c c))
(*.f64 c c)
#s(literal -3/8 binary64)
(pow.f64 b #s(literal 3 binary64))
(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (/.f64 c b))
(/.f64 c b)
#s(literal -1/2 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))
(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (/.f64 c b))
(/.f64 c b)
c
b
#s(literal -1/2 binary64)
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 b (/.f64 b c))) c)))) (*.f64 #s(literal 3 binary64) a))
(*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 b (/.f64 b c))) c))))
(-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) b)
(neg.f64 b)
b
(sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 b (/.f64 b c))) c)))
(sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))
#s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 b (/.f64 b c))) c))
#s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))
(*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 b (/.f64 b c))) c)
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))
(fma.f64 #s(literal -3 binary64) a (*.f64 b (/.f64 b c)))
(fma.f64 #s(literal -3 binary64) a (*.f64 (/.f64 b c) b))
#s(literal -3 binary64)
a
(*.f64 b (/.f64 b c))
(*.f64 (/.f64 b c) b)
(/.f64 b c)
c
(*.f64 #s(literal 3 binary64) a)
(*.f64 a #s(literal 3 binary64))
#s(literal 3 binary64)
(/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) (*.f64 #s(literal -3 binary64) a)))
(*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))
#s(literal -1 binary64)
(*.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) (*.f64 #s(literal -3 binary64) a))
(/.f64 (*.f64 #s(literal -3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))
(pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64))
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))
(*.f64 #s(literal -3 binary64) c)
#s(literal -3 binary64)
c
a
(*.f64 b b)
b
(*.f64 #s(literal -3 binary64) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (*.f64 #s(literal -1/2 binary64) c))) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c (fma.f64 (*.f64 c a) (fma.f64 (*.f64 (/.f64 a (pow.f64 b #s(literal 4 binary64))) c) #s(literal -9/16 binary64) (/.f64 (/.f64 #s(literal -3/8 binary64) b) b)) #s(literal -1/2 binary64))) b))
(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (*.f64 #s(literal -1/2 binary64) c))) b)
(/.f64 (*.f64 c (fma.f64 (*.f64 c a) (fma.f64 (*.f64 (/.f64 a (pow.f64 b #s(literal 4 binary64))) c) #s(literal -9/16 binary64) (/.f64 (/.f64 #s(literal -3/8 binary64) b) b)) #s(literal -1/2 binary64))) b)
(fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (*.f64 #s(literal -1/2 binary64) c)))
(*.f64 c (fma.f64 (*.f64 c a) (fma.f64 (*.f64 (/.f64 a (pow.f64 b #s(literal 4 binary64))) c) #s(literal -9/16 binary64) (/.f64 (/.f64 #s(literal -3/8 binary64) b) b)) #s(literal -1/2 binary64)))
(/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b)
(/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) b)
(*.f64 (*.f64 c c) #s(literal -3/8 binary64))
(*.f64 #s(literal -3/8 binary64) (*.f64 c c))
(*.f64 c c)
c
#s(literal -3/8 binary64)
b
(/.f64 a b)
a
(fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (*.f64 #s(literal -1/2 binary64) c))
(*.f64 c (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -9/16 binary64) a) c) c) (/.f64 a (pow.f64 b #s(literal 4 binary64))) #s(literal -1/2 binary64)))
(/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64)))
(*.f64 (*.f64 (/.f64 a (pow.f64 b #s(literal 4 binary64))) a) (pow.f64 c #s(literal 3 binary64)))
(*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a)
(*.f64 (pow.f64 c #s(literal 3 binary64)) a)
(pow.f64 c #s(literal 3 binary64))
#s(literal 3 binary64)
(pow.f64 b #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal -9/16 binary64)
(*.f64 #s(literal -1/2 binary64) c)
#s(literal -1/2 binary64)

localize257.0ms (2.3%)

Memory
-6.3MiB live, 434.3MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.2578125
(*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a)
accuracy0.30078125
(/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b)
accuracy0.4108200195368841
(/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64)))
accuracy7.216594551166463
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (*.f64 #s(literal -1/2 binary64) c))) b))
accuracy0.26060252155338326
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))
accuracy0.3359375
(pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64))
accuracy0.4030075195368841
(*.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) (*.f64 #s(literal -3 binary64) a))
accuracy30.687309064258702
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)
accuracy0.2656029431127299
(fma.f64 #s(literal -3 binary64) a (*.f64 b (/.f64 b c)))
accuracy0.28125
(*.f64 b (/.f64 b c))
accuracy0.34994125976844204
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 b (/.f64 b c))) c)))) (*.f64 #s(literal 3 binary64) a))
accuracy30.687309064258702
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 b (/.f64 b c))) c))))
accuracy0
(/.f64 c b)
accuracy0
(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
accuracy21.408884875225972
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
accuracy0.33984375
(*.f64 #s(literal -1/6 binary64) a)
accuracy0.34603500976844204
(/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))
accuracy0.3834762695368841
(/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))
accuracy5.230967052271059
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
Samples
94.0ms94×1valid
86.0ms162×0valid
Compiler

Compiled 580 to 71 computations (87.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 134.0ms
ival-mult: 40.0ms (29.8% of total)
ival-div: 27.0ms (20.1% of total)
ival-pow: 27.0ms (20.1% of total)
adjust: 15.0ms (11.2% of total)
ival-add: 11.0ms (8.2% of total)
ival-sqrt: 5.0ms (3.7% of total)
const: 4.0ms (3% of total)
ival-sub: 3.0ms (2.2% of total)
exact: 1.0ms (0.7% of total)
ival-neg: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series179.0ms (1.6%)

Memory
-13.1MiB live, 178.3MiB allocated
Counts
28 → 864
Calls
Call 1
Inputs
#s(alt (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) (patch (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (patch (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) (patch (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 c b) #s(literal -1/2 binary64)) (patch (*.f64 (/.f64 c b) #s(literal -1/2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 c b) (patch (/.f64 c b) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 b (/.f64 b c))) c) (patch (*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 b (/.f64 b c))) c) #<representation binary64>) () ())
#s(alt (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 b (/.f64 b c))) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 b (/.f64 b c))) c)))) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 b (/.f64 b c))) c)))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 b (/.f64 b c))) c)))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())
#s(alt (neg.f64 b) (patch (neg.f64 b) #<representation binary64>) () ())
#s(alt (*.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) (*.f64 #s(literal -3 binary64) a)) (patch (*.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) (*.f64 #s(literal -3 binary64) a)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) (*.f64 #s(literal -3 binary64) a))) (patch (/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) (*.f64 #s(literal -3 binary64) a))) #<representation binary64>) () ())
#s(alt (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) (patch (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (*.f64 #s(literal -1/2 binary64) c)) (patch (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (*.f64 #s(literal -1/2 binary64) c)) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (*.f64 #s(literal -1/2 binary64) c))) (patch (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (*.f64 #s(literal -1/2 binary64) c))) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (*.f64 #s(literal -1/2 binary64) c))) b)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (*.f64 #s(literal -1/2 binary64) c))) b)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (*.f64 #s(literal -1/2 binary64) c))) b) (patch (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (*.f64 #s(literal -1/2 binary64) c))) b) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64))) (patch (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64))) (patch (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal -1/6 binary64) a) (patch (*.f64 #s(literal -1/6 binary64) a) #<representation binary64>) () ())
#s(alt (*.f64 b (/.f64 b c)) (patch (*.f64 b (/.f64 b c)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -3 binary64) a (*.f64 b (/.f64 b c))) (patch (fma.f64 #s(literal -3 binary64) a (*.f64 b (/.f64 b c))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (patch (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) (patch (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (patch (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (patch (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) #<representation binary64>) () ())
Outputs
#s(alt (* -3/8 (/ (pow c 2) (pow b 3))) (taylor 0 c) (#s(alt (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) (patch (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (- (* -9/16 (/ (* a c) (pow b 5))) (* 3/8 (/ 1 (pow b 3))))) (taylor 0 c) (#s(alt (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) (patch (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (- (* c (+ (* -135/128 (/ (* (pow a 2) c) (pow b 7))) (* -9/16 (/ a (pow b 5))))) (* 3/8 (/ 1 (pow b 3))))) (taylor 0 c) (#s(alt (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) (patch (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (- (* c (+ (* -135/128 (/ (* (pow a 2) c) (pow b 7))) (* -9/16 (/ a (pow b 5))))) (* 3/8 (/ 1 (pow b 3))))) (taylor 0 c) (#s(alt (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) (patch (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 405/64 (/ (pow c 4) (pow b 7))) (taylor 0 c) (#s(alt (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (patch (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) #<representation binary64>) () ())) ())
#s(alt (* 405/64 (/ (pow c 4) (pow b 7))) (taylor 0 c) (#s(alt (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (patch (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) #<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 #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (*.f64 #s(literal -1/2 binary64) c))) b)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (*.f64 #s(literal -1/2 binary64) c))) b)) #<representation binary64>) () ())) ())
#s(alt (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 5))) (taylor -inf a) (#s(alt (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (*.f64 #s(literal -1/2 binary64) c))) b) (patch (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (*.f64 #s(literal -1/2 binary64) c))) b) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -3/8 (/ (pow c 2) (* a (pow b 3)))))) (taylor -inf a) (#s(alt (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (*.f64 #s(literal -1/2 binary64) c))) b) (patch (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (*.f64 #s(literal -1/2 binary64) c))) b) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ (* -1 (/ (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))) a)) (* -9/16 (/ (pow c 3) (pow b 5))))) (taylor -inf a) (#s(alt (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (*.f64 #s(literal -1/2 binary64) c))) b) (patch (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (*.f64 #s(literal -1/2 binary64) c))) b) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ (* -1 (/ (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))) a)) (* -9/16 (/ (pow c 3) (pow b 5))))) (taylor -inf a) (#s(alt (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (*.f64 #s(literal -1/2 binary64) c))) b) (patch (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (*.f64 #s(literal -1/2 binary64) c))) b) #<representation binary64>) () ())) ())
#s(alt (* -1/6 a) (taylor -inf a) (#s(alt (*.f64 #s(literal -1/6 binary64) a) (patch (*.f64 #s(literal -1/6 binary64) a) #<representation binary64>) () ())) ())
#s(alt (* -1/6 a) (taylor -inf a) (#s(alt (*.f64 #s(literal -1/6 binary64) a) (patch (*.f64 #s(literal -1/6 binary64) a) #<representation binary64>) () ())) ())
#s(alt (* -1/6 a) (taylor -inf a) (#s(alt (*.f64 #s(literal -1/6 binary64) a) (patch (*.f64 #s(literal -1/6 binary64) a) #<representation binary64>) () ())) ())
#s(alt (* -1/6 a) (taylor -inf a) (#s(alt (*.f64 #s(literal -1/6 binary64) a) (patch (*.f64 #s(literal -1/6 binary64) a) #<representation binary64>) () ())) ())
#s(alt (* -3 a) (taylor -inf a) (#s(alt (fma.f64 #s(literal -3 binary64) a (*.f64 b (/.f64 b c))) (patch (fma.f64 #s(literal -3 binary64) a (*.f64 b (/.f64 b c))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ 3 (* -1 (/ (pow b 2) (* a c)))))) (taylor -inf a) (#s(alt (fma.f64 #s(literal -3 binary64) a (*.f64 b (/.f64 b c))) (patch (fma.f64 #s(literal -3 binary64) a (*.f64 b (/.f64 b c))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ 3 (* -1 (/ (pow b 2) (* a c)))))) (taylor -inf a) (#s(alt (fma.f64 #s(literal -3 binary64) a (*.f64 b (/.f64 b c))) (patch (fma.f64 #s(literal -3 binary64) a (*.f64 b (/.f64 b c))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ 3 (* -1 (/ (pow b 2) (* a c)))))) (taylor -inf a) (#s(alt (fma.f64 #s(literal -3 binary64) a (*.f64 b (/.f64 b c))) (patch (fma.f64 #s(literal -3 binary64) a (*.f64 b (/.f64 b c))) #<representation binary64>) () ())) ())
#s(alt (* -3 (* a c)) (taylor -inf a) (#s(alt (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (patch (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))) (taylor -inf a) (#s(alt (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (patch (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))) (taylor -inf a) (#s(alt (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (patch (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))) (taylor -inf a) (#s(alt (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (patch (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow a 2) (pow c 3)) (pow b 4)) (taylor -inf a) (#s(alt (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) (patch (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow a 2) (pow c 3)) (pow b 4)) (taylor -inf a) (#s(alt (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) (patch (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow a 2) (pow c 3)) (pow b 4)) (taylor -inf a) (#s(alt (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) (patch (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow a 2) (pow c 3)) (pow b 4)) (taylor -inf a) (#s(alt (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) (patch (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (pow c 3)) (taylor -inf a) (#s(alt (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (patch (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (pow c 3)) (taylor -inf a) (#s(alt (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (patch (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (pow c 3)) (taylor -inf a) (#s(alt (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (patch (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (pow c 3)) (taylor -inf a) (#s(alt (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (patch (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
52.0ms
c
@0
((+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b)) (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (/ c b) -1/2) (/ c b) (* (+ (* -3 a) (* b (/ b c))) c) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (neg b) (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (* -3 a)) (/ -1 (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (* -3 a))) (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c)) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) b) (/ (* (* c c) -3/8) (pow b 3)) (/ (* (pow c 3) -9/16) (pow b 5)) (* -1/6 a) (* b (/ b c)) (+ (* -3 a) (* b (/ b c))) (+ (* (* -3 c) a) (* b b)) (/ (* (* (pow c 3) a) a) (pow b 4)) (/ (* (* c c) -3/8) b) (* (* (pow c 3) a) a))
15.0ms
c
@-inf
((+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b)) (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (/ c b) -1/2) (/ c b) (* (+ (* -3 a) (* b (/ b c))) c) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (neg b) (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (* -3 a)) (/ -1 (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (* -3 a))) (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c)) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) b) (/ (* (* c c) -3/8) (pow b 3)) (/ (* (pow c 3) -9/16) (pow b 5)) (* -1/6 a) (* b (/ b c)) (+ (* -3 a) (* b (/ b c))) (+ (* (* -3 c) a) (* b b)) (/ (* (* (pow c 3) a) a) (pow b 4)) (/ (* (* c c) -3/8) b) (* (* (pow c 3) a) a))
14.0ms
b
@0
((+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b)) (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (/ c b) -1/2) (/ c b) (* (+ (* -3 a) (* b (/ b c))) c) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (neg b) (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (* -3 a)) (/ -1 (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (* -3 a))) (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c)) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) b) (/ (* (* c c) -3/8) (pow b 3)) (/ (* (pow c 3) -9/16) (pow b 5)) (* -1/6 a) (* b (/ b c)) (+ (* -3 a) (* b (/ b c))) (+ (* (* -3 c) a) (* b b)) (/ (* (* (pow c 3) a) a) (pow b 4)) (/ (* (* c c) -3/8) b) (* (* (pow c 3) a) a))
11.0ms
c
@inf
((+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b)) (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (/ c b) -1/2) (/ c b) (* (+ (* -3 a) (* b (/ b c))) c) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (neg b) (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (* -3 a)) (/ -1 (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (* -3 a))) (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c)) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) b) (/ (* (* c c) -3/8) (pow b 3)) (/ (* (pow c 3) -9/16) (pow b 5)) (* -1/6 a) (* b (/ b c)) (+ (* -3 a) (* b (/ b c))) (+ (* (* -3 c) a) (* b b)) (/ (* (* (pow c 3) a) a) (pow b 4)) (/ (* (* c c) -3/8) b) (* (* (pow c 3) a) a))
10.0ms
b
@inf
((+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b)) (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (/ c b) -1/2) (/ c b) (* (+ (* -3 a) (* b (/ b c))) c) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (neg b) (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (* -3 a)) (/ -1 (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (* -3 a))) (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c)) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) b) (/ (* (* c c) -3/8) (pow b 3)) (/ (* (pow c 3) -9/16) (pow b 5)) (* -1/6 a) (* b (/ b c)) (+ (* -3 a) (* b (/ b c))) (+ (* (* -3 c) a) (* b b)) (/ (* (* (pow c 3) a) a) (pow b 4)) (/ (* (* c c) -3/8) b) (* (* (pow c 3) a) a))

simplify228.0ms (2%)

Memory
14.3MiB live, 245.3MiB allocated
Algorithm
egg-herbie
Rules
7 922×lower-*.f64
7 922×lower-*.f32
6 540×lower-fma.f64
6 540×lower-fma.f32
4 550×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0129716319
1421316049
0857715399
Stop Event
iter limit
node limit
Counts
864 → 864
Calls
Call 1
Inputs
(* -3/8 (/ (pow c 2) (pow b 3)))
(* (pow c 2) (- (* -9/16 (/ (* a c) (pow b 5))) (* 3/8 (/ 1 (pow b 3)))))
(* (pow c 2) (- (* c (+ (* -135/128 (/ (* (pow a 2) c) (pow b 7))) (* -9/16 (/ a (pow b 5))))) (* 3/8 (/ 1 (pow b 3)))))
(* (pow c 2) (- (* c (+ (* -135/128 (/ (* (pow a 2) c) (pow b 7))) (* -9/16 (/ a (pow b 5))))) (* 3/8 (/ 1 (pow b 3)))))
(* 405/64 (/ (pow c 4) (pow b 7)))
(* 405/64 (/ (pow c 4) (pow b 7)))
(* 405/64 (/ (pow c 4) (pow b 7)))
(* 405/64 (/ (pow c 4) (pow b 7)))
(* -9/16 (/ (pow c 3) (pow b 5)))
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(* -1/2 (/ c b))
(* -1/2 (/ c b))
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(pow b 2)
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(* -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)))))))
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(* 2 (/ b c))
(/ (+ (* -3/2 (/ (* a c) b)) (* 2 b)) c)
(/ (+ (* 2 b) (* c (+ (* -3/2 (/ a b)) (* 3 (* c (+ (* -3/4 (/ (pow a 2) (pow b 3))) (* 3/8 (/ (pow a 2) (pow b 3))))))))) c)
(/ (+ (* 2 b) (* c (+ (* -3/2 (/ a b)) (* c (+ (* 3 (* c (+ (* -3/4 (/ (* a (+ (* -3/4 (/ (pow a 2) (pow b 3))) (* 3/8 (/ (pow a 2) (pow b 3))))) (pow b 2))) (+ (* -2/9 (/ (* b (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) a)) (* 9/16 (/ (pow a 3) (pow b 5))))))) (* 3 (+ (* -3/4 (/ (pow a 2) (pow b 3))) (* 3/8 (/ (pow a 2) (pow b 3)))))))))) c)
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(* -2/3 (/ b (* a c)))
(/ (+ (* -2/3 (/ b a)) (* 1/2 (/ c b))) c)
(/ (+ (* -2/3 (/ b a)) (* c (+ (* -1 (* c (+ (* -3/4 (/ a (pow b 3))) (* 3/8 (/ a (pow b 3)))))) (* 1/2 (/ 1 b))))) c)
(/ (+ (* -2/3 (/ b a)) (* c (+ (* c (- (* -1 (* c (+ (* -3/4 (/ (* a (+ (* -3/4 (/ a (pow b 3))) (* 3/8 (/ a (pow b 3))))) (pow b 2))) (+ (* -2/9 (/ (* b (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (pow a 2))) (* 9/16 (/ (pow a 2) (pow b 5))))))) (+ (* -3/4 (/ a (pow b 3))) (* 3/8 (/ a (pow b 3)))))) (* 1/2 (/ 1 b))))) c)
(* -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)))))))
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(* -1/2 c)
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(* -1/2 c)
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(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 4))) (* -3/8 (/ a (pow b 2))))) 1/2))
(* -1/2 (/ c b))
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(/ (pow b 2) c)
(/ (pow b 2) c)
(/ (pow b 2) c)
(/ (pow b 2) c)
(/ (pow b 2) c)
(/ (+ (* -3 (* a c)) (pow b 2)) c)
(/ (+ (* -3 (* a c)) (pow b 2)) c)
(/ (+ (* -3 (* a c)) (pow b 2)) c)
(pow b 2)
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(/ (* (pow a 2) (pow c 3)) (pow b 4))
(/ (* (pow a 2) (pow c 3)) (pow b 4))
(/ (* (pow a 2) (pow c 3)) (pow b 4))
(/ (* (pow a 2) (pow c 3)) (pow b 4))
(* -3/8 (/ (pow c 2) b))
(* -3/8 (/ (pow c 2) b))
(* -3/8 (/ (pow c 2) b))
(* -3/8 (/ (pow c 2) b))
(* (pow a 2) (pow c 3))
(* (pow a 2) (pow c 3))
(* (pow a 2) (pow c 3))
(* (pow a 2) (pow c 3))
(* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 7)))
(* (pow c 4) (+ (* -135/128 (/ (pow a 2) (pow b 7))) (* -9/16 (/ a (* (pow b 5) c)))))
(* (pow c 4) (- (+ (* -135/128 (/ (pow a 2) (pow b 7))) (* -9/16 (/ a (* (pow b 5) c)))) (/ 3/8 (* (pow b 3) (pow c 2)))))
(* (pow c 4) (- (+ (* -135/128 (/ (pow a 2) (pow b 7))) (* -9/16 (/ a (* (pow b 5) c)))) (/ 3/8 (* (pow b 3) (pow c 2)))))
(* 405/64 (/ (pow c 4) (pow b 7)))
(* 405/64 (/ (pow c 4) (pow b 7)))
(* 405/64 (/ (pow c 4) (pow b 7)))
(* 405/64 (/ (pow c 4) (pow b 7)))
(* -135/128 (/ (* a (pow c 4)) (pow b 7)))
(* (pow c 4) (- (* -135/128 (/ a (pow b 7))) (* 9/16 (/ 1 (* (pow b 5) c)))))
(* (pow c 4) (- (* -135/128 (/ a (pow b 7))) (* 9/16 (/ 1 (* (pow b 5) c)))))
(* (pow c 4) (- (* -135/128 (/ a (pow b 7))) (* 9/16 (/ 1 (* (pow b 5) c)))))
(* 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 -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)))))))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(* -3 (* a c))
(* c (+ (* -3 a) (/ (pow b 2) c)))
(* c (+ (* -3 a) (/ (pow b 2) c)))
(* c (+ (* -3 a) (/ (pow b 2) c)))
(* (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)))
(* 1/3 (* (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)))))))
(* -3 (* (sqrt (/ a c)) (/ 1 (sqrt -3))))
(/ (+ (* -3 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (* -3 (/ b (pow (sqrt -3) 2)))) c)
(/ (+ (* -3 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (+ (* -3 (/ b (pow (sqrt -3) 2))) (* 3 (/ (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3))))) (pow c 2))))) c)
(/ (+ (* -3 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (+ (* -3 (/ b (pow (sqrt -3) 2))) (+ (* 3 (/ (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3))))) (pow c 2))) (* 3 (/ (+ (* 1/2 (/ (* (pow b 3) (pow c 2)) (* a (pow (sqrt -3) 4)))) (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3)))) (pow c 3)))))) c)
(* 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)))))))
(* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))
(/ (+ (* (sqrt (/ c a)) (/ 1 (sqrt -3))) (/ b (* a (pow (sqrt -3) 2)))) c)
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3))))) (pow c 2))) (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* -1 (/ b (* a (pow (sqrt -3) 2))))) c)
(/ (- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -3) 4)))) (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3)))) (pow c 3))) (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* -1 (/ b (* a (pow (sqrt -3) 2)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -3) 3))))))) c)
(* (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)))
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(* (pow c 3) (- (* -9/16 (/ (pow a 2) (pow b 4))) (* 1/2 (/ 1 (pow c 2)))))
(* (pow c 3) (- (* -9/16 (/ (pow a 2) (pow b 4))) (* 1/2 (/ 1 (pow c 2)))))
(* (pow c 3) (- (* -9/16 (/ (pow a 2) (pow b 4))) (* 1/2 (/ 1 (pow c 2)))))
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(* (pow c 3) (+ (* -9/16 (/ (pow a 2) (pow b 4))) (* -3/8 (/ a (* (pow b 2) c)))))
(* (pow c 3) (- (+ (* -9/16 (/ (pow a 2) (pow b 4))) (* -3/8 (/ a (* (pow b 2) c)))) (/ 1/2 (pow c 2))))
(* (pow c 3) (- (+ (* -9/16 (/ (pow a 2) (pow b 4))) (* -3/8 (/ a (* (pow b 2) c)))) (/ 1/2 (pow c 2))))
(* 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)))))))
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 5)))
(* (pow c 3) (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c)))))
(* (pow c 3) (- (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c)))) (/ 1/2 (* b (pow c 2)))))
(* (pow c 3) (- (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c)))) (/ 1/2 (* b (pow c 2)))))
(* -3/8 (/ (pow c 2) (pow b 3)))
(* -3/8 (/ (pow c 2) (pow b 3)))
(* -3/8 (/ (pow c 2) (pow b 3)))
(* -3/8 (/ (pow c 2) (pow b 3)))
(* -9/16 (/ (pow c 3) (pow b 5)))
(* -9/16 (/ (pow c 3) (pow b 5)))
(* -9/16 (/ (pow c 3) (pow b 5)))
(* -9/16 (/ (pow c 3) (pow b 5)))
(/ (pow b 2) c)
(/ (pow b 2) c)
(/ (pow b 2) c)
(/ (pow b 2) c)
(* -3 a)
(+ (* -3 a) (/ (pow b 2) c))
(+ (* -3 a) (/ (pow b 2) c))
(+ (* -3 a) (/ (pow b 2) c))
(* -3 (* a c))
(* c (+ (* -3 a) (/ (pow b 2) c)))
(* c (+ (* -3 a) (/ (pow b 2) c)))
(* c (+ (* -3 a) (/ (pow b 2) c)))
(/ (* (pow a 2) (pow c 3)) (pow b 4))
(/ (* (pow a 2) (pow c 3)) (pow b 4))
(/ (* (pow a 2) (pow c 3)) (pow b 4))
(/ (* (pow a 2) (pow c 3)) (pow b 4))
(* -3/8 (/ (pow c 2) b))
(* -3/8 (/ (pow c 2) b))
(* -3/8 (/ (pow c 2) b))
(* -3/8 (/ (pow c 2) b))
(* (pow a 2) (pow c 3))
(* (pow a 2) (pow c 3))
(* (pow a 2) (pow c 3))
(* (pow a 2) (pow c 3))
(* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 7)))
(* (pow c 4) (+ (* -135/128 (/ (pow a 2) (pow b 7))) (* -9/16 (/ a (* (pow b 5) c)))))
(* (pow c 4) (+ (* -135/128 (/ (pow a 2) (pow b 7))) (* -1 (/ (+ (* 9/16 (/ a (pow b 5))) (* 3/8 (/ 1 (* (pow b 3) c)))) c))))
(* (pow c 4) (+ (* -135/128 (/ (pow a 2) (pow b 7))) (* -1 (/ (+ (* 9/16 (/ a (pow b 5))) (* 3/8 (/ 1 (* (pow b 3) c)))) c))))
(* 405/64 (/ (pow c 4) (pow b 7)))
(* 405/64 (/ (pow c 4) (pow b 7)))
(* 405/64 (/ (pow c 4) (pow b 7)))
(* 405/64 (/ (pow c 4) (pow b 7)))
(* -135/128 (/ (* a (pow c 4)) (pow b 7)))
(* (pow c 4) (- (* -135/128 (/ a (pow b 7))) (* 9/16 (/ 1 (* (pow b 5) c)))))
(* (pow c 4) (- (* -135/128 (/ a (pow b 7))) (* 9/16 (/ 1 (* (pow b 5) c)))))
(* (pow c 4) (- (* -135/128 (/ a (pow b 7))) (* 9/16 (/ 1 (* (pow b 5) c)))))
(* -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 (/ 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))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(* -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 (* (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 -1) (sqrt 3))))
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c))))))
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(/ c b)
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(/ (+ (* -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)
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(* -1 b)
(* -1 b)
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(/ (+ (* -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 c)))
(* b (- (* 1/2 (/ 1 (pow b 2))) (* 2/3 (/ 1 (* a c)))))
(* b (- (+ (* -1 (/ (+ (* -3/4 (* a c)) (* 3/8 (* a c))) (pow b 4))) (* 1/2 (/ 1 (pow b 2)))) (* 2/3 (/ 1 (* a c)))))
(* b (- (+ (* -1 (/ (+ (* -3/4 (* a (* c (+ (* -3/4 (* a c)) (* 3/8 (* a c)))))) (+ (* -2/9 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* (pow a 2) (pow c 2)))) (* 9/16 (* (pow a 2) (pow c 2))))) (pow b 6))) (* 1/2 (/ 1 (pow b 2)))) (+ (* -3/4 (/ (* a c) (pow b 4))) (+ (* 3/8 (/ (* a c) (pow b 4))) (* 2/3 (/ 1 (* a c)))))))
(* -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)
(* -1/2 c)
(+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (* -1/2 c))
(+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (* -1/2 c))
(+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (* -1/2 c))
(* -1/2 c)
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))
(+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))))
(+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))))
(* -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)
(* -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))))) b)
(* -3/8 (/ (pow c 2) (pow b 3)))
(* -3/8 (/ (pow c 2) (pow b 3)))
(* -3/8 (/ (pow c 2) (pow b 3)))
(* -3/8 (/ (pow c 2) (pow b 3)))
(* -9/16 (/ (pow c 3) (pow b 5)))
(* -9/16 (/ (pow c 3) (pow b 5)))
(* -9/16 (/ (pow c 3) (pow b 5)))
(* -9/16 (/ (pow c 3) (pow b 5)))
(/ (pow b 2) c)
(/ (pow b 2) c)
(/ (pow b 2) c)
(/ (pow b 2) c)
(/ (pow b 2) c)
(* (pow b 2) (+ (* -3 (/ a (pow b 2))) (/ 1 c)))
(* (pow b 2) (+ (* -3 (/ a (pow b 2))) (/ 1 c)))
(* (pow b 2) (+ (* -3 (/ a (pow b 2))) (/ 1 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 a 2) (pow c 3)) (pow b 4))
(/ (* (pow a 2) (pow c 3)) (pow b 4))
(/ (* (pow a 2) (pow c 3)) (pow b 4))
(/ (* (pow a 2) (pow c 3)) (pow b 4))
(* -3/8 (/ (pow c 2) b))
(* -3/8 (/ (pow c 2) b))
(* -3/8 (/ (pow c 2) b))
(* -3/8 (/ (pow c 2) b))
(* -3/8 (/ (pow c 2) (pow b 3)))
(* -1 (/ (+ (* 3/8 (pow c 2)) (* 9/16 (/ (* a (pow c 3)) (pow b 2)))) (pow b 3)))
(* -1 (/ (+ (* 3/8 (pow c 2)) (+ (* 9/16 (/ (* a (pow c 3)) (pow b 2))) (* 135/128 (/ (* (pow a 2) (pow c 4)) (pow b 4))))) (pow b 3)))
(* -1 (/ (+ (* 3/8 (pow c 2)) (+ (* 9/16 (/ (* a (pow c 3)) (pow b 2))) (* 135/128 (/ (* (pow a 2) (pow c 4)) (pow b 4))))) (pow b 3)))
(* 405/64 (/ (pow c 4) (pow b 7)))
(* 405/64 (/ (pow c 4) (pow b 7)))
(* 405/64 (/ (pow c 4) (pow b 7)))
(* 405/64 (/ (pow c 4) (pow b 7)))
(* -9/16 (/ (pow c 3) (pow b 5)))
(* -1 (/ (+ (* 9/16 (pow c 3)) (* 135/128 (/ (* a (pow c 4)) (pow b 2)))) (pow b 5)))
(* -1 (/ (+ (* 9/16 (pow c 3)) (* 135/128 (/ (* a (pow c 4)) (pow b 2)))) (pow b 5)))
(* -1 (/ (+ (* 9/16 (pow c 3)) (* 135/128 (/ (* a (pow c 4)) (pow b 2)))) (pow b 5)))
(* -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)))))))
(* -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))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(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)))))
(* -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))))))))
(* -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 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* 3/2 (/ a b))
(* -1 (/ (+ (* -3/2 a) (* -9/8 (/ (* (pow a 2) c) (pow b 2)))) b))
(* -1 (/ (+ (* -27/16 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (+ (* -3/2 a) (* -9/8 (/ (* (pow a 2) c) (pow b 2))))) b))
(* -1 (/ (+ (* -27/16 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (+ (* -3/2 a) (+ (* -9/8 (/ (* (pow a 2) c) (pow b 2))) (* 3 (/ (+ (* -27/32 (* (pow a 4) (pow c 3))) (* -27/128 (* (pow a 4) (pow c 3)))) (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 b)
(* -1 (/ (+ 1/2 (* 3/8 (/ (* a c) (pow b 2)))) b))
(* -1 (/ (- (+ 1/2 (* 9/16 (/ (* (pow a 2) (pow c 2)) (pow b 4)))) (* -3/8 (/ (* a c) (pow b 2)))) b))
(* -1 (/ (- (+ 1/2 (* -1 (/ (+ (* -27/32 (* (pow a 3) (pow c 3))) (* -27/128 (* (pow a 3) (pow c 3)))) (pow b 6)))) (+ (* -9/16 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -3/8 (/ (* a c) (pow b 2))))) 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))))))))
(* -1/2 c)
(+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (* -1/2 c))
(+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (* -1/2 c))
(+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (* -1/2 c))
(* -1/2 c)
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))
(+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))))
(+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))))
(* -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 (/ (+ (* 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) (* 9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))))) b))
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (+ (* 1/2 c) (* 9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))))) b))
(* -3/8 (/ (pow c 2) (pow b 3)))
(* -3/8 (/ (pow c 2) (pow b 3)))
(* -3/8 (/ (pow c 2) (pow b 3)))
(* -3/8 (/ (pow c 2) (pow b 3)))
(* -9/16 (/ (pow c 3) (pow b 5)))
(* -9/16 (/ (pow c 3) (pow b 5)))
(* -9/16 (/ (pow c 3) (pow b 5)))
(* -9/16 (/ (pow c 3) (pow b 5)))
(/ (pow b 2) c)
(/ (pow b 2) c)
(/ (pow b 2) c)
(/ (pow b 2) c)
(/ (pow b 2) c)
(* (pow b 2) (+ (* -3 (/ a (pow b 2))) (/ 1 c)))
(* (pow b 2) (+ (* -3 (/ a (pow b 2))) (/ 1 c)))
(* (pow b 2) (+ (* -3 (/ a (pow b 2))) (/ 1 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 a 2) (pow c 3)) (pow b 4))
(/ (* (pow a 2) (pow c 3)) (pow b 4))
(/ (* (pow a 2) (pow c 3)) (pow b 4))
(/ (* (pow a 2) (pow c 3)) (pow b 4))
(* -3/8 (/ (pow c 2) b))
(* -3/8 (/ (pow c 2) b))
(* -3/8 (/ (pow c 2) b))
(* -3/8 (/ (pow c 2) b))
(* -3/8 (/ (pow c 2) (pow b 3)))
(+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))
(+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5))))))
(+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5))))))
(* -9/16 (/ (pow c 3) (pow b 5)))
(+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5))))
(+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5))))
(+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5))))
(* -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)))))))
(* -1/2 (/ 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)))))))
(pow b 2)
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(* -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))))))))
(* -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)))))))
(* 2 (/ b c))
(+ (* -3/2 (/ a b)) (* 2 (/ b c)))
(+ (* 2 (/ b c)) (* a (- (* 3 (* a (+ (* -3/4 (/ c (pow b 3))) (* 3/8 (/ c (pow b 3)))))) (* 3/2 (/ 1 b)))))
(+ (* 2 (/ b c)) (* a (- (* a (+ (* 3 (* a (+ (* -3/4 (/ (* c (+ (* -3/4 (/ c (pow b 3))) (* 3/8 (/ c (pow b 3))))) (pow b 2))) (+ (* -2/9 (/ (* b (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) (pow c 2))) (* 9/16 (/ (pow c 2) (pow b 5))))))) (* 3 (+ (* -3/4 (/ c (pow b 3))) (* 3/8 (/ c (pow b 3))))))) (* 3/2 (/ 1 b)))))
(* -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)))))))
(* -2/3 (/ b (* a c)))
(/ (+ (* -2/3 (/ b c)) (* 1/2 (/ a b))) a)
(/ (+ (* -2/3 (/ b c)) (* a (+ (* -1 (* a (+ (* -3/4 (/ c (pow b 3))) (* 3/8 (/ c (pow b 3)))))) (* 1/2 (/ 1 b))))) a)
(/ (+ (* -2/3 (/ b c)) (* a (+ (* a (- (* -1 (* a (+ (* -3/4 (/ (* c (+ (* -3/4 (/ c (pow b 3))) (* 3/8 (/ c (pow b 3))))) (pow b 2))) (+ (* -2/9 (/ (* b (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) (pow c 2))) (* 9/16 (/ (pow c 2) (pow b 5))))))) (+ (* -3/4 (/ c (pow b 3))) (* 3/8 (/ c (pow b 3)))))) (* 1/2 (/ 1 b))))) a)
(* -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))))))))
(* -1/2 c)
(+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (* -1/2 c))
(+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (* -1/2 c))
(+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (* -1/2 c))
(* -1/2 c)
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))
(+ (* -1/2 c) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 4))) (* -3/8 (/ (pow c 2) (pow b 2))))))
(+ (* -1/2 c) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 4))) (* -3/8 (/ (pow c 2) (pow b 2))))))
(* -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)))))))
(* -1/2 (/ 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 (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))
(* -1/6 a)
(* -1/6 a)
(* -1/6 a)
(* -1/6 a)
(/ (pow b 2) c)
(+ (* -3 a) (/ (pow b 2) c))
(+ (* -3 a) (/ (pow b 2) c))
(+ (* -3 a) (/ (pow b 2) c))
(pow b 2)
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(/ (* (pow a 2) (pow c 3)) (pow b 4))
(/ (* (pow a 2) (pow c 3)) (pow b 4))
(/ (* (pow a 2) (pow c 3)) (pow b 4))
(/ (* (pow a 2) (pow c 3)) (pow b 4))
(* (pow a 2) (pow c 3))
(* (pow a 2) (pow c 3))
(* (pow a 2) (pow c 3))
(* (pow a 2) (pow c 3))
(* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 7)))
(* (pow a 2) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5))))))
(* (pow a 2) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (+ (* -9/16 (/ (pow c 3) (* a (pow b 5)))) (* -3/8 (/ (pow c 2) (* (pow a 2) (pow b 3)))))))
(* (pow a 2) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (+ (* -9/16 (/ (pow c 3) (* a (pow b 5)))) (* -3/8 (/ (pow c 2) (* (pow a 2) (pow b 3)))))))
(* -135/128 (/ (* a (pow c 4)) (pow b 7)))
(* a (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5))))))
(* a (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5))))))
(* a (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5))))))
(* 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 -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))))))
(* -3 (* a c))
(* a (+ (* -3 c) (/ (pow b 2) a)))
(* a (+ (* -3 c) (/ (pow b 2) a)))
(* a (+ (* -3 c) (/ (pow b 2) a)))
(* (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)))
(* 1/3 (* (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))))))
(* -3 (* (sqrt (/ a c)) (/ 1 (sqrt -3))))
(+ (* -3 (* (sqrt (/ a c)) (/ 1 (sqrt -3)))) (* -3 (/ b (* c (pow (sqrt -3) 2)))))
(- (+ (* -3 (* (sqrt (/ a c)) (/ 1 (sqrt -3)))) (* -1 (/ (+ (* -3/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 3 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3))))) (pow a 2)))) (* 3 (/ b (* c (pow (sqrt -3) 2)))))
(- (+ (* -3 (* (sqrt (/ a c)) (/ 1 (sqrt -3)))) (* -1 (/ (+ (* -3/2 (/ (* (pow a 2) (pow b 3)) (* (pow c 2) (pow (sqrt -3) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -3/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 3 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3)))) (pow a 3)))) (+ (* -3/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* 3 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 3 (/ b (* c (pow (sqrt -3) 2)))))))
(* 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))))))
(* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))
(/ (+ (* (sqrt (/ a c)) (/ 1 (sqrt -3))) (/ b (* c (pow (sqrt -3) 2)))) a)
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3))))) (pow a 2))) (* (sqrt (/ a c)) (/ 1 (sqrt -3)))) (* -1 (/ b (* c (pow (sqrt -3) 2))))) a)
(/ (- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow a 2) (pow b 3)) (* (pow c 2) (pow (sqrt -3) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3)))) (pow a 3))) (* (sqrt (/ a c)) (/ 1 (sqrt -3)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* -1 (/ b (* c (pow (sqrt -3) 2)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3))))))) a)
(* (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)))
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 4))) (* -1/2 (/ c (pow a 2)))))
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 4))) (* -1/2 (/ c (pow a 2)))))
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 4))) (* -1/2 (/ c (pow a 2)))))
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 4))) (* -3/8 (/ (pow c 2) (* a (pow b 2))))))
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 4))) (+ (* -1/2 (/ c (pow a 2))) (* -3/8 (/ (pow c 2) (* a (pow b 2)))))))
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 4))) (+ (* -1/2 (/ c (pow a 2))) (* -3/8 (/ (pow c 2) (* a (pow b 2)))))))
(* 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))))))
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 5)))
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -3/8 (/ (pow c 2) (* a (pow b 3))))))
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 5))) (+ (* -1/2 (/ c (* (pow a 2) b))) (* -3/8 (/ (pow c 2) (* a (pow b 3)))))))
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 5))) (+ (* -1/2 (/ c (* (pow a 2) b))) (* -3/8 (/ (pow c 2) (* a (pow b 3)))))))
(* -1/6 a)
(* -1/6 a)
(* -1/6 a)
(* -1/6 a)
(* -3 a)
(* a (- (/ (pow b 2) (* a c)) 3))
(* a (- (/ (pow b 2) (* a c)) 3))
(* a (- (/ (pow b 2) (* a c)) 3))
(* -3 (* a c))
(* a (+ (* -3 c) (/ (pow b 2) a)))
(* a (+ (* -3 c) (/ (pow b 2) a)))
(* a (+ (* -3 c) (/ (pow b 2) a)))
(/ (* (pow a 2) (pow c 3)) (pow b 4))
(/ (* (pow a 2) (pow c 3)) (pow b 4))
(/ (* (pow a 2) (pow c 3)) (pow b 4))
(/ (* (pow a 2) (pow c 3)) (pow b 4))
(* (pow a 2) (pow c 3))
(* (pow a 2) (pow c 3))
(* (pow a 2) (pow c 3))
(* (pow a 2) (pow c 3))
(* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 7)))
(* (pow a 2) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5))))))
(* (pow a 2) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -1 (/ (+ (* 3/8 (/ (pow c 2) (* a (pow b 3)))) (* 9/16 (/ (pow c 3) (pow b 5)))) a))))
(* (pow a 2) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -1 (/ (+ (* 3/8 (/ (pow c 2) (* a (pow b 3)))) (* 9/16 (/ (pow c 3) (pow b 5)))) a))))
(* -135/128 (/ (* a (pow c 4)) (pow b 7)))
(* -1 (* a (+ (* 9/16 (/ (pow c 3) (* a (pow b 5)))) (* 135/128 (/ (pow c 4) (pow b 7))))))
(* -1 (* a (+ (* 9/16 (/ (pow c 3) (* a (pow b 5)))) (* 135/128 (/ (pow c 4) (pow b 7))))))
(* -1 (* a (+ (* 9/16 (/ (pow c 3) (* a (pow b 5)))) (* 135/128 (/ (pow c 4) (pow b 7))))))
(* -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)))))
(* -1/3 (* (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)))))
(* -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))))
(* -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))))))
(* -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)))))
(* 3 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3))))
(+ (* 3 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3)))) (* 3 (/ b (* c (pow (sqrt 3) 2)))))
(+ (* -1 (/ (- (+ (* -3 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3/2 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) (* 3 (/ (* a b) (* c (pow (sqrt 3) 2))))) a)) (* 3 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3)))))
(+ (* -1 (/ (- (* -1 (/ (- (+ (* 3/2 (/ (* a (pow b 3)) (* (pow c 2) (pow (sqrt 3) 4)))) (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (+ (* -3 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (+ (* -3 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) a)) (* 3 (/ (* a b) (* c (pow (sqrt 3) 2))))) a)) (* 3 (* (sqrt (/ a c)) (/ (sqrt -1) (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 (* (sqrt (/ 1 (* a c))) (/ (sqrt -1) (sqrt 3))))
(* -1 (/ (+ (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3))) (/ b (* c (pow (sqrt 3) 2)))) a))
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) (/ (* a b) (* c (pow (sqrt 3) 2)))) a)) (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3)))) a))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/2 (/ (* a (pow b 3)) (* (pow c 2) (pow (sqrt 3) 4)))) (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) a)) (/ (* a b) (* c (pow (sqrt 3) 2)))) a)) (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3)))) 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))))))
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 4))) (* -1/2 (/ c (pow a 2)))))
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 4))) (* -1/2 (/ c (pow a 2)))))
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 4))) (* -1/2 (/ c (pow a 2)))))
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 4))) (* -3/8 (/ (pow c 2) (* a (pow b 2))))))
(* (pow a 2) (+ (* -1 (/ (+ (* 3/8 (/ (pow c 2) (pow b 2))) (* 1/2 (/ c a))) a)) (* -9/16 (/ (pow c 3) (pow b 4)))))
(* (pow a 2) (+ (* -1 (/ (+ (* 3/8 (/ (pow c 2) (pow b 2))) (* 1/2 (/ c a))) a)) (* -9/16 (/ (pow c 3) (pow b 4)))))
(* -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)))))
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 5)))
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -3/8 (/ (pow c 2) (* a (pow b 3))))))
(* (pow a 2) (+ (* -1 (/ (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))) a)) (* -9/16 (/ (pow c 3) (pow b 5)))))
(* (pow a 2) (+ (* -1 (/ (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))) a)) (* -9/16 (/ (pow c 3) (pow b 5)))))
(* -1/6 a)
(* -1/6 a)
(* -1/6 a)
(* -1/6 a)
(* -3 a)
(* -1 (* a (+ 3 (* -1 (/ (pow b 2) (* a c))))))
(* -1 (* a (+ 3 (* -1 (/ (pow b 2) (* a c))))))
(* -1 (* a (+ 3 (* -1 (/ (pow b 2) (* a 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 a 2) (pow c 3)) (pow b 4))
(/ (* (pow a 2) (pow c 3)) (pow b 4))
(/ (* (pow a 2) (pow c 3)) (pow b 4))
(/ (* (pow a 2) (pow c 3)) (pow b 4))
(* (pow a 2) (pow c 3))
(* (pow a 2) (pow c 3))
(* (pow a 2) (pow c 3))
(* (pow a 2) (pow c 3))
Outputs
(* -3/8 (/ (pow c 2) (pow b 3)))
(/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))
(* (pow c 2) (- (* -9/16 (/ (* a c) (pow b 5))) (* 3/8 (/ 1 (pow b 3)))))
(*.f64 (fma.f64 (*.f64 a (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64) (/.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal 3 binary64)))) (*.f64 c c))
(* (pow c 2) (- (* c (+ (* -135/128 (/ (* (pow a 2) c) (pow b 7))) (* -9/16 (/ a (pow b 5))))) (* 3/8 (/ 1 (pow b 3)))))
(*.f64 (fma.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 7 binary64)))) c (/.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal 3 binary64)))) (*.f64 c c))
(* (pow c 2) (- (* c (+ (* -135/128 (/ (* (pow a 2) c) (pow b 7))) (* -9/16 (/ a (pow b 5))))) (* 3/8 (/ 1 (pow b 3)))))
(*.f64 (fma.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 7 binary64)))) c (/.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal 3 binary64)))) (*.f64 c c))
(* 405/64 (/ (pow c 4) (pow b 7)))
(/.f64 (*.f64 #s(literal 405/64 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 7 binary64)))
(* 405/64 (/ (pow c 4) (pow b 7)))
(/.f64 (*.f64 #s(literal 405/64 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 7 binary64)))
(* 405/64 (/ (pow c 4) (pow b 7)))
(/.f64 (*.f64 #s(literal 405/64 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 7 binary64)))
(* 405/64 (/ (pow c 4) (pow b 7)))
(/.f64 (*.f64 #s(literal 405/64 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 7 binary64)))
(* -9/16 (/ (pow c 3) (pow b 5)))
(/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))
(* (pow c 3) (- (* -135/128 (/ (* a c) (pow b 7))) (* 9/16 (/ 1 (pow b 5)))))
(*.f64 (fma.f64 (*.f64 a (/.f64 c (pow.f64 b #s(literal 7 binary64)))) #s(literal -135/128 binary64) (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 5 binary64)))) (pow.f64 c #s(literal 3 binary64)))
(* (pow c 3) (- (* -135/128 (/ (* a c) (pow b 7))) (* 9/16 (/ 1 (pow b 5)))))
(*.f64 (fma.f64 (*.f64 a (/.f64 c (pow.f64 b #s(literal 7 binary64)))) #s(literal -135/128 binary64) (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 5 binary64)))) (pow.f64 c #s(literal 3 binary64)))
(* (pow c 3) (- (* -135/128 (/ (* a c) (pow b 7))) (* 9/16 (/ 1 (pow b 5)))))
(*.f64 (fma.f64 (*.f64 a (/.f64 c (pow.f64 b #s(literal 7 binary64)))) #s(literal -135/128 binary64) (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 5 binary64)))) (pow.f64 c #s(literal 3 binary64)))
(* -1/2 (/ c b))
(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(*.f64 (fma.f64 (*.f64 a (/.f64 c (pow.f64 b #s(literal 3 binary64)))) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) b)) c)
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(*.f64 (fma.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 #s(literal -1/2 binary64) b)) c)
(* 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 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/6 binary64) b) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) c) a) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)
(* -1/2 (/ c b))
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(*.f64 (neg.f64 a) (fma.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (neg.f64 b)) (neg.f64 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 (neg.f64 a) (fma.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64)) (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 a c))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))))) (neg.f64 a)) b) (neg.f64 a))))
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(*.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) (*.f64 a a)) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64))
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 4))) (* -1/2 (/ c (pow a 2)))))
(*.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 c a) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 4 binary64)))) (*.f64 a a))
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 4))) (* -1/2 (/ c (pow a 2)))))
(*.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 c a) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 4 binary64)))) (*.f64 a a))
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 4))) (* -1/2 (/ c (pow a 2)))))
(*.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 c a) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 4 binary64)))) (*.f64 a a))
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(*.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) (*.f64 a a)) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64))
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 4))) (* -3/8 (/ (pow c 2) (* a (pow b 2))))))
(*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) a) (*.f64 (/.f64 c b) (/.f64 c b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 4 binary64)))) (*.f64 a a))
(* (pow a 2) (+ (* -1 (/ (+ (* 3/8 (/ (pow c 2) (pow b 2))) (* 1/2 (/ c a))) a)) (* -9/16 (/ (pow c 3) (pow b 4)))))
(*.f64 (fma.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 3/8 binary64) b) (/.f64 (*.f64 c c) b) (*.f64 (/.f64 c a) #s(literal 1/2 binary64))) (neg.f64 a))) (*.f64 a a))
(* (pow a 2) (+ (* -1 (/ (+ (* 3/8 (/ (pow c 2) (pow b 2))) (* 1/2 (/ c a))) a)) (* -9/16 (/ (pow c 3) (pow b 4)))))
(*.f64 (fma.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 3/8 binary64) b) (/.f64 (*.f64 c c) b) (*.f64 (/.f64 c a) #s(literal 1/2 binary64))) (neg.f64 a))) (*.f64 a a))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))))
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))
(*.f64 #s(literal -1/3 binary64) (fma.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (/.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 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (/.f64 (*.f64 (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)))))
(fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 #s(literal 1/3 binary64) b (/.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 a c))) (/.f64 (*.f64 (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 (pow.f64 c #s(literal 3 binary64)) a)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64))))) (neg.f64 a))) (neg.f64 a)))
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 5)))
(*.f64 (*.f64 (*.f64 a a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -3/8 (/ (pow c 2) (* a (pow b 3))))))
(*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) a) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) (*.f64 a a))
(* (pow a 2) (+ (* -1 (/ (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))) a)) (* -9/16 (/ (pow c 3) (pow b 5)))))
(*.f64 (fma.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 c b) (/.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) (neg.f64 a))) (*.f64 a a))
(* (pow a 2) (+ (* -1 (/ (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))) a)) (* -9/16 (/ (pow c 3) (pow b 5)))))
(*.f64 (fma.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 c b) (/.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) (neg.f64 a))) (*.f64 a a))
(* -1/6 a)
(*.f64 #s(literal -1/6 binary64) a)
(* -1/6 a)
(*.f64 #s(literal -1/6 binary64) a)
(* -1/6 a)
(*.f64 #s(literal -1/6 binary64) a)
(* -1/6 a)
(*.f64 #s(literal -1/6 binary64) a)
(* -3 a)
(*.f64 #s(literal -3 binary64) a)
(* -1 (* a (+ 3 (* -1 (/ (pow b 2) (* a c))))))
(*.f64 (neg.f64 a) (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 (*.f64 b b) a) c)))
(* -1 (* a (+ 3 (* -1 (/ (pow b 2) (* a c))))))
(*.f64 (neg.f64 a) (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 (*.f64 b b) a) c)))
(* -1 (* a (+ 3 (* -1 (/ (pow b 2) (* a c))))))
(*.f64 (neg.f64 a) (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 (*.f64 b b) a) c)))
(* -3 (* a c))
(*.f64 (*.f64 #s(literal -3 binary64) c) a)
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))
(*.f64 (neg.f64 a) (fma.f64 #s(literal 3 binary64) c (/.f64 (*.f64 b b) (neg.f64 a))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))
(*.f64 (neg.f64 a) (fma.f64 #s(literal 3 binary64) c (/.f64 (*.f64 b b) (neg.f64 a))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))
(*.f64 (neg.f64 a) (fma.f64 #s(literal 3 binary64) c (/.f64 (*.f64 b b) (neg.f64 a))))
(/ (* (pow a 2) (pow c 3)) (pow b 4))
(/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) (*.f64 a a)) (pow.f64 b #s(literal 4 binary64)))
(/ (* (pow a 2) (pow c 3)) (pow b 4))
(/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) (*.f64 a a)) (pow.f64 b #s(literal 4 binary64)))
(/ (* (pow a 2) (pow c 3)) (pow b 4))
(/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) (*.f64 a a)) (pow.f64 b #s(literal 4 binary64)))
(/ (* (pow a 2) (pow c 3)) (pow b 4))
(/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) (*.f64 a a)) (pow.f64 b #s(literal 4 binary64)))
(* (pow a 2) (pow c 3))
(*.f64 (pow.f64 c #s(literal 3 binary64)) (*.f64 a a))
(* (pow a 2) (pow c 3))
(*.f64 (pow.f64 c #s(literal 3 binary64)) (*.f64 a a))
(* (pow a 2) (pow c 3))
(*.f64 (pow.f64 c #s(literal 3 binary64)) (*.f64 a a))
(* (pow a 2) (pow c 3))
(*.f64 (pow.f64 c #s(literal 3 binary64)) (*.f64 a a))

rewrite196.0ms (1.8%)

Memory
15.6MiB live, 290.4MiB allocated
Rules
4 750×lower-*.f32
4 718×lower-*.f64
4 130×lower-fma.f32
4 116×lower-fma.f64
3 260×lower-pow.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
073471
0126471
1465447
23762447
08223447
Stop Event
iter limit
node limit
iter limit
Counts
28 → 744
Calls
Call 1
Inputs
(fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64))))
(*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b))
(fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
(/.f64 c b)
(*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 b (/.f64 b c))) c)
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 b (/.f64 b c))) c))))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 b (/.f64 b c))) c)))) (*.f64 #s(literal 3 binary64) a))
(neg.f64 b)
(*.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) (*.f64 #s(literal -3 binary64) a))
(/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) (*.f64 #s(literal -3 binary64) a)))
(pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64))
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)
(fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (*.f64 #s(literal -1/2 binary64) c))
(fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (*.f64 #s(literal -1/2 binary64) c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (*.f64 #s(literal -1/2 binary64) c))) b))
(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (*.f64 #s(literal -1/2 binary64) c))) b)
(/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))
(/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))
(*.f64 #s(literal -1/6 binary64) a)
(*.f64 b (/.f64 b c))
(fma.f64 #s(literal -3 binary64) a (*.f64 b (/.f64 b c)))
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))
(/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64)))
(/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b)
(*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a)
Outputs
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eval485.0ms (4.3%)

Memory
-226.1MiB live, 609.9MiB allocated
Compiler

Compiled 56 595 to 5 336 computations (90.6% saved)

prune369.0ms (3.3%)

Memory
3.6MiB live, 523.6MiB allocated
Pruning

69 alts after pruning (68 fresh and 1 done)

PrunedKeptTotal
New1 638551 693
Fresh301343
Picked415
Done000
Total1 672691 741
Accuracy
99.2%
Counts
1 741 → 69
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.9%
(/.f64 (fma.f64 (pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 (/.f64 b c) b)) c)) #s(literal 1/4 binary64)) (pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 (/.f64 b c) b)) c)) #s(literal 1/4 binary64)) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a))
51.5%
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a))
51.0%
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) b) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 b b))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b)) (*.f64 #s(literal 3 binary64) a))
52.4%
(/.f64 (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 (/.f64 b c) b)) c))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 (/.f64 b c) b)) c))))) (*.f64 #s(literal 3 binary64) a))
52.4%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 (/.f64 b c) b)) c)))) (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 (/.f64 b c) b)) c))))) (*.f64 #s(literal 3 binary64) a))
51.8%
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) b))) a)
53.2%
(/.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal 3 binary64) a) (fma.f64 b b (+.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) b)))))
52.1%
(/.f64 (-.f64 (/.f64 (*.f64 b b) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 (/.f64 b c) b)) c))))) (/.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 (/.f64 b c) b)) c)) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 (/.f64 b c) b)) c)))))) (*.f64 #s(literal 3 binary64) a))
53.4%
(/.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) (*.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))))))
51.8%
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) b) (*.f64 #s(literal 3 binary64) a))
51.6%
(/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 (/.f64 b c) b)) c))) b) (*.f64 #s(literal 3 binary64) a))
52.0%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
51.8%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 (*.f64 (/.f64 b c) b) c))))) (*.f64 #s(literal 3 binary64) a))
51.8%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (*.f64 b (/.f64 b a))) a)))) (*.f64 #s(literal 3 binary64) a))
51.6%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (/.f64 b (/.f64 c b))) c)))) (*.f64 #s(literal 3 binary64) a))
53.2%
(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1/3 binary64) a)) (fma.f64 b b (+.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) b))))
53.4%
(/.f64 (*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) (/.f64 #s(literal 1/3 binary64) a)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)))))
51.8%
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) b) #s(literal 1/3 binary64)) a)
51.6%
(/.f64 (*.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 (/.f64 b c) b)) c))) b) #s(literal 1/3 binary64)) a)
82.2%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 c c) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b)) (*.f64 #s(literal 3 binary64) a))
91.2%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 c (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) b)) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -27/16 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c)) (*.f64 #s(literal 3 binary64) a))
91.2%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 a (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) b)) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -27/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)) (*.f64 #s(literal 3 binary64) a))
66.4%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 c b) #s(literal -3/2 binary64)) a)) (*.f64 #s(literal 3 binary64) a))
66.4%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) (*.f64 #s(literal 3 binary64) a))
51.8%
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) b) #s(literal 1/3 binary64))))
51.8%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a)))
51.8%
(/.f64 #s(literal 1/3 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
52.1%
(/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (fma.f64 (sqrt.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c) #s(literal 2 binary64)))) (pow.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (neg.f64 b)) #s(literal -1 binary64)) (*.f64 #s(literal -3 binary64) a)))
53.4%
(/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)) (*.f64 b b)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) b)) #s(literal -1 binary64)) (*.f64 #s(literal -3 binary64) a)))
53.2%
(/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (fma.f64 b b (+.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) b)))) #s(literal -1 binary64)) (*.f64 #s(literal -3 binary64) a)))
53.2%
(/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (+.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)) (-.f64 (*.f64 b b) (*.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))))))) #s(literal -1 binary64)) (*.f64 #s(literal -3 binary64) a)))
52.8%
(/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (-.f64 (/.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) b)) (/.f64 (*.f64 b b) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) b))) #s(literal -1 binary64)) (*.f64 #s(literal -3 binary64) a)))
51.8%
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) b)) (*.f64 #s(literal -3 binary64) a)))
51.8%
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) b)) a))
53.4%
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (pow.f64 (-.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)) (*.f64 b b)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) b) #s(literal -1 binary64)) #s(literal -1 binary64))) (*.f64 #s(literal -3 binary64) a)))
53.4%
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (pow.f64 (-.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)) (*.f64 b b)) #s(literal -1 binary64)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) b)) (*.f64 #s(literal -3 binary64) a)))
88.7%
(/.f64 #s(literal -1 binary64) (*.f64 #s(approx (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (/.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) #s(literal 3/8 binary64)) a (/.f64 #s(literal 1/2 binary64) b)) a (*.f64 #s(literal -2/3 binary64) (/.f64 b c))) a)) (*.f64 #s(literal -3 binary64) a)))
82.9%
(/.f64 #s(literal -1 binary64) (*.f64 #s(approx (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (/.f64 (fma.f64 (/.f64 b a) #s(literal -2/3 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))) c)) (*.f64 #s(literal -3 binary64) a)))
66.3%
(/.f64 #s(literal -1 binary64) (*.f64 #s(approx (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (*.f64 (/.f64 b (*.f64 a c)) #s(literal -2/3 binary64))) (*.f64 #s(literal -3 binary64) a)))
82.8%
(/.f64 #s(literal -1 binary64) (*.f64 #s(approx (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) (*.f64 a c))) b)) (*.f64 #s(literal -3 binary64) a)))
91.5%
(/.f64 #s(literal -1 binary64) (*.f64 #s(approx (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 (fma.f64 (*.f64 #s(literal -3/4 binary64) a) (*.f64 (*.f64 (*.f64 a c) #s(literal -3/8 binary64)) c) (fma.f64 (*.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a)) (/.f64 #s(literal 405/64 binary64) (*.f64 c c))) #s(literal -2/9 binary64) (*.f64 (*.f64 #s(literal 9/16 binary64) (*.f64 a a)) (*.f64 c c)))) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (*.f64 a (/.f64 c (pow.f64 b #s(literal 4 binary64)))) #s(literal -3/4 binary64) (fma.f64 (*.f64 a (/.f64 c (pow.f64 b #s(literal 4 binary64)))) #s(literal 3/8 binary64) (/.f64 #s(literal 2/3 binary64) (*.f64 a c))))) b)) (*.f64 #s(literal -3 binary64) a)))
88.6%
(/.f64 #s(literal -1 binary64) (*.f64 #s(approx (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 (*.f64 (*.f64 a c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 4 binary64)))) (/.f64 #s(literal 2/3 binary64) (*.f64 a c))) b)) (*.f64 #s(literal -3 binary64) a)))
89.0%
(/.f64 #s(literal -1 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (* -3 a)) (fma.f64 (fma.f64 (*.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) a) #s(literal 3 binary64) (/.f64 #s(literal -3/2 binary64) b)) a (*.f64 (/.f64 b c) #s(literal 2 binary64)))))
91.9%
(/.f64 #s(literal -1 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (* -3 a)) (fma.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (fma.f64 (fma.f64 (/.f64 #s(literal -3/4 binary64) b) (/.f64 (*.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) c) b) (fma.f64 (/.f64 #s(literal -2/9 binary64) c) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) b) c) (/.f64 (*.f64 #s(literal 9/16 binary64) (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))))) a (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)))) a (/.f64 #s(literal -3/2 binary64) b)) a (*.f64 (/.f64 b c) #s(literal 2 binary64)))))
83.1%
(/.f64 #s(literal -1 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (* -3 a)) (fma.f64 (/.f64 b c) #s(literal 2 binary64) (*.f64 (/.f64 a b) #s(literal -3/2 binary64)))))
91.9%
(/.f64 #s(literal -1 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (* -3 a)) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (fma.f64 (fma.f64 (/.f64 #s(literal -3/4 binary64) b) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) a) b) (fma.f64 (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) a)) #s(literal -2/9 binary64) (/.f64 (*.f64 #s(literal 9/16 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64))))) c (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c (*.f64 b #s(literal 2 binary64))) c)))
89.0%
(/.f64 #s(literal -1 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (* -3 a)) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 3 binary64) c) (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c (*.f64 b #s(literal 2 binary64))) c)))
83.1%
(/.f64 #s(literal -1 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (* -3 a)) (/.f64 (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64) (*.f64 b #s(literal 2 binary64))) c)))
83.1%
(/.f64 #s(literal -1 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (* -3 a)) (*.f64 (fma.f64 (/.f64 a (*.f64 b b)) #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) c)) b)))
91.8%
(/.f64 #s(literal -1 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (* -3 a)) (*.f64 (fma.f64 (/.f64 #s(literal -3/2 binary64) b) (/.f64 a b) (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3/4 binary64) a) (*.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -3/8 binary64)) c) (fma.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (*.f64 c c)) #s(literal 9/16 binary64) (*.f64 (*.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (*.f64 c c)) (/.f64 #s(literal 405/64 binary64) a)) #s(literal -2/9 binary64)))) (pow.f64 b #s(literal 6 binary64))) #s(literal 3 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) c)))) b)))
88.9%
(/.f64 #s(literal -1 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (* -3 a)) (*.f64 (fma.f64 (/.f64 #s(literal -3/2 binary64) b) (/.f64 a b) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) c))) b)))
51.1%
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (/.f64 b (*.f64 a #s(literal 3 binary64))))
53.2%
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (pow.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 b b (+.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) b))) #s(literal -1 binary64)))
53.4%
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (*.f64 b b) (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)))) #s(literal -1 binary64)))
51.8%
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 1/3 binary64))
51.8%
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) b))
51.8%
(*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 1/3 binary64)))
91.4%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 #s(literal -1/2 binary64) (/.f64 b c))))
91.6%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) a) (pow.f64 c #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c))) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
91.6%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) (*.f64 a a)) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (fma.f64 #s(literal -1/2 binary64) c (fma.f64 (*.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) a)) #s(literal -1/6 binary64) (*.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) b) (/.f64 (*.f64 c c) b))))) b))
82.5%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)) b))
88.4%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (/.f64 a b) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 4 binary64)))) c #s(literal -1/2 binary64)) c)) b))
82.5%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64)) c)) b))
66.5%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c)))
91.5%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/6 binary64) b) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) c) a) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c))
82.5%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) c (/.f64 #s(literal -1/2 binary64) b)) c))
66.5%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
11.4%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))))
66.5%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b)))
Compiler

Compiled 4 004 to 2 607 computations (34.9% saved)

simplify243.0ms (2.2%)

Memory
3.1MiB live, 258.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 (/.f64 b c) b)) c))
cost-diff0
(pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 (/.f64 b c) b)) c)) #s(literal 1/4 binary64))
cost-diff0
(/.f64 (fma.f64 (pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 (/.f64 b c) b)) c)) #s(literal 1/4 binary64)) (pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 (/.f64 b c) b)) c)) #s(literal 1/4 binary64)) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a))
cost-diff14336
(fma.f64 (pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 (/.f64 b c) b)) c)) #s(literal 1/4 binary64)) (pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 (/.f64 b c) b)) c)) #s(literal 1/4 binary64)) (neg.f64 b))
cost-diff0
(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 c c) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b)
cost-diff0
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 c c) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b))
cost-diff0
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 c c) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b)) (*.f64 #s(literal 3 binary64) a))
cost-diff512
(fma.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 c c) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64)))
cost-diff0
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))
cost-diff0
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)
cost-diff0
(/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))
cost-diff384
(/.f64 #s(literal 1/3 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
cost-diff0
(/.f64 #s(literal -1/2 binary64) b)
cost-diff0
(*.f64 c (/.f64 #s(literal -1/2 binary64) b))
cost-diff0
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b)))
cost-diff0
(/.f64 #s(literal -1 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (* -3 a)) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (fma.f64 (fma.f64 (/.f64 #s(literal -3/4 binary64) b) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) a) b) (fma.f64 (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) a)) #s(literal -2/9 binary64) (/.f64 (*.f64 #s(literal 9/16 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64))))) c (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c (*.f64 b #s(literal 2 binary64))) c)))
cost-diff320
(fma.f64 (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) a)) #s(literal -2/9 binary64) (/.f64 (*.f64 #s(literal 9/16 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64))))
cost-diff320
(fma.f64 (/.f64 #s(literal -3/4 binary64) b) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) a) b) (fma.f64 (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) a)) #s(literal -2/9 binary64) (/.f64 (*.f64 #s(literal 9/16 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))))
cost-diff640
(*.f64 (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) a)
Rules
17 180×lower-fma.f32
17 162×lower-fma.f64
5 574×lower-+.f64
5 574×lower-+.f32
5 536×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0951109
01591063
12741047
26011006
31949986
44870978
08310961
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal -1 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (* -3 a)) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (fma.f64 (fma.f64 (/.f64 #s(literal -3/4 binary64) b) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) a) b) (fma.f64 (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) a)) #s(literal -2/9 binary64) (/.f64 (*.f64 #s(literal 9/16 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64))))) c (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c (*.f64 b #s(literal 2 binary64))) c)))
#s(literal -1 binary64)
#s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (* -3 a)) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (fma.f64 (fma.f64 (/.f64 #s(literal -3/4 binary64) b) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) a) b) (fma.f64 (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) a)) #s(literal -2/9 binary64) (/.f64 (*.f64 #s(literal 9/16 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64))))) c (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c (*.f64 b #s(literal 2 binary64))) c))
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (fma.f64 (fma.f64 (/.f64 #s(literal -3/4 binary64) b) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) a) b) (fma.f64 (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) a)) #s(literal -2/9 binary64) (/.f64 (*.f64 #s(literal 9/16 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64))))) c (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c (*.f64 b #s(literal 2 binary64))) c)
(fma.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (fma.f64 (fma.f64 (/.f64 #s(literal -3/4 binary64) b) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) a) b) (fma.f64 (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) a)) #s(literal -2/9 binary64) (/.f64 (*.f64 #s(literal 9/16 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64))))) c (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c (*.f64 b #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal 3 binary64) (fma.f64 (fma.f64 (/.f64 #s(literal -3/4 binary64) b) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) a) b) (fma.f64 (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) a)) #s(literal -2/9 binary64) (/.f64 (*.f64 #s(literal 9/16 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64))))) c (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64)))
(*.f64 #s(literal 3 binary64) (fma.f64 (fma.f64 (/.f64 #s(literal -3/4 binary64) b) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) a) b) (fma.f64 (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) a)) #s(literal -2/9 binary64) (/.f64 (*.f64 #s(literal 9/16 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64))))) c (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))))
#s(literal 3 binary64)
(fma.f64 (fma.f64 (/.f64 #s(literal -3/4 binary64) b) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) a) b) (fma.f64 (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) a)) #s(literal -2/9 binary64) (/.f64 (*.f64 #s(literal 9/16 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64))))) c (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)))
(fma.f64 (/.f64 #s(literal -3/4 binary64) b) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) a) b) (fma.f64 (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) a)) #s(literal -2/9 binary64) (/.f64 (*.f64 #s(literal 9/16 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))))
(/.f64 #s(literal -3/4 binary64) b)
#s(literal -3/4 binary64)
b
(/.f64 (*.f64 (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) a) b)
(*.f64 (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) a)
(*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))
(/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64)))
(*.f64 a a)
a
(pow.f64 b #s(literal 3 binary64))
#s(literal -3/8 binary64)
(fma.f64 (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) a)) #s(literal -2/9 binary64) (/.f64 (*.f64 #s(literal 9/16 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64))))
(*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) a))
(/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) a)
(*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64))
(/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64)))
(pow.f64 a #s(literal 4 binary64))
#s(literal 4 binary64)
(pow.f64 b #s(literal 6 binary64))
#s(literal 6 binary64)
#s(literal 405/64 binary64)
#s(literal -2/9 binary64)
(/.f64 (*.f64 #s(literal 9/16 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))
(*.f64 #s(literal 9/16 binary64) (pow.f64 a #s(literal 3 binary64)))
#s(literal 9/16 binary64)
(pow.f64 a #s(literal 3 binary64))
(pow.f64 b #s(literal 5 binary64))
#s(literal 5 binary64)
c
(*.f64 (/.f64 a b) #s(literal -3/2 binary64))
(/.f64 a b)
#s(literal -3/2 binary64)
(*.f64 b #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b)))
(*.f64 c (/.f64 #s(literal -1/2 binary64) b))
c
(/.f64 #s(literal -1/2 binary64) b)
#s(literal -1/2 binary64)
b
(/.f64 #s(literal 1/3 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
#s(literal 1/3 binary64)
(/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))
a
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))
(*.f64 #s(literal -3 binary64) c)
#s(literal -3 binary64)
c
(*.f64 b b)
b
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 c c) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b)) (*.f64 #s(literal 3 binary64) a))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 c c) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b))
(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 c c) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b)
(fma.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 c c) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64)))
(/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) b)
(*.f64 (*.f64 a a) #s(literal -9/8 binary64))
(*.f64 a a)
a
#s(literal -9/8 binary64)
b
(/.f64 (*.f64 c c) b)
(*.f64 c c)
c
(*.f64 (*.f64 c a) #s(literal -3/2 binary64))
(*.f64 c a)
#s(literal -3/2 binary64)
(*.f64 #s(literal 3 binary64) a)
#s(literal 3 binary64)
(/.f64 (fma.f64 (pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 (/.f64 b c) b)) c)) #s(literal 1/4 binary64)) (pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 (/.f64 b c) b)) c)) #s(literal 1/4 binary64)) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a))
(fma.f64 (pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 (/.f64 b c) b)) c)) #s(literal 1/4 binary64)) (pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 (/.f64 b c) b)) c)) #s(literal 1/4 binary64)) (neg.f64 b))
(pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 (/.f64 b c) b)) c)) #s(literal 1/4 binary64))
#s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 (/.f64 b c) b)) c))
(*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 (/.f64 b c) b)) c)
(fma.f64 #s(literal -3 binary64) a (*.f64 (/.f64 b c) b))
#s(literal -3 binary64)
a
(*.f64 (/.f64 b c) b)
(/.f64 b c)
b
c
#s(literal 1/4 binary64)
(neg.f64 b)
(*.f64 #s(literal 3 binary64) a)
#s(literal 3 binary64)
Outputs
(/.f64 #s(literal -1 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (* -3 a)) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (fma.f64 (fma.f64 (/.f64 #s(literal -3/4 binary64) b) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) a) b) (fma.f64 (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) a)) #s(literal -2/9 binary64) (/.f64 (*.f64 #s(literal 9/16 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64))))) c (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c (*.f64 b #s(literal 2 binary64))) c)))
(/.f64 #s(literal -1 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (* -3 a)) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 3 binary64) c) (fma.f64 (fma.f64 #s(literal 9/32 binary64) (/.f64 (/.f64 (pow.f64 (/.f64 a b) #s(literal 3 binary64)) b) b) (fma.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 (/.f64 #s(literal -45/32 binary64) a) b) (*.f64 (/.f64 #s(literal 9/16 binary64) (pow.f64 b #s(literal 5 binary64))) (pow.f64 a #s(literal 3 binary64))))) c (*.f64 (/.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal 3 binary64))) (*.f64 a a))) (*.f64 #s(literal -3/2 binary64) (/.f64 a b))) c (*.f64 #s(literal 2 binary64) b)) c)))
#s(literal -1 binary64)
#s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (* -3 a)) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (fma.f64 (fma.f64 (/.f64 #s(literal -3/4 binary64) b) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) a) b) (fma.f64 (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) a)) #s(literal -2/9 binary64) (/.f64 (*.f64 #s(literal 9/16 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64))))) c (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c (*.f64 b #s(literal 2 binary64))) c))
#s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (* -3 a)) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 3 binary64) c) (fma.f64 (fma.f64 #s(literal 9/32 binary64) (/.f64 (/.f64 (pow.f64 (/.f64 a b) #s(literal 3 binary64)) b) b) (fma.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 (/.f64 #s(literal -45/32 binary64) a) b) (*.f64 (/.f64 #s(literal 9/16 binary64) (pow.f64 b #s(literal 5 binary64))) (pow.f64 a #s(literal 3 binary64))))) c (*.f64 (/.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal 3 binary64))) (*.f64 a a))) (*.f64 #s(literal -3/2 binary64) (/.f64 a b))) c (*.f64 #s(literal 2 binary64) b)) c))
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (fma.f64 (fma.f64 (/.f64 #s(literal -3/4 binary64) b) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) a) b) (fma.f64 (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) a)) #s(literal -2/9 binary64) (/.f64 (*.f64 #s(literal 9/16 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64))))) c (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c (*.f64 b #s(literal 2 binary64))) c)
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 3 binary64) c) (fma.f64 (fma.f64 #s(literal 9/32 binary64) (/.f64 (/.f64 (pow.f64 (/.f64 a b) #s(literal 3 binary64)) b) b) (fma.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 (/.f64 #s(literal -45/32 binary64) a) b) (*.f64 (/.f64 #s(literal 9/16 binary64) (pow.f64 b #s(literal 5 binary64))) (pow.f64 a #s(literal 3 binary64))))) c (*.f64 (/.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal 3 binary64))) (*.f64 a a))) (*.f64 #s(literal -3/2 binary64) (/.f64 a b))) c (*.f64 #s(literal 2 binary64) b)) c)
(fma.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (fma.f64 (fma.f64 (/.f64 #s(literal -3/4 binary64) b) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) a) b) (fma.f64 (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) a)) #s(literal -2/9 binary64) (/.f64 (*.f64 #s(literal 9/16 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64))))) c (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c (*.f64 b #s(literal 2 binary64)))
(fma.f64 (fma.f64 (*.f64 #s(literal 3 binary64) c) (fma.f64 (fma.f64 #s(literal 9/32 binary64) (/.f64 (/.f64 (pow.f64 (/.f64 a b) #s(literal 3 binary64)) b) b) (fma.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 (/.f64 #s(literal -45/32 binary64) a) b) (*.f64 (/.f64 #s(literal 9/16 binary64) (pow.f64 b #s(literal 5 binary64))) (pow.f64 a #s(literal 3 binary64))))) c (*.f64 (/.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal 3 binary64))) (*.f64 a a))) (*.f64 #s(literal -3/2 binary64) (/.f64 a b))) c (*.f64 #s(literal 2 binary64) b))
(fma.f64 (*.f64 #s(literal 3 binary64) (fma.f64 (fma.f64 (/.f64 #s(literal -3/4 binary64) b) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) a) b) (fma.f64 (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) a)) #s(literal -2/9 binary64) (/.f64 (*.f64 #s(literal 9/16 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64))))) c (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64)))
(fma.f64 (*.f64 #s(literal 3 binary64) c) (fma.f64 (fma.f64 #s(literal 9/32 binary64) (/.f64 (/.f64 (pow.f64 (/.f64 a b) #s(literal 3 binary64)) b) b) (fma.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 (/.f64 #s(literal -45/32 binary64) a) b) (*.f64 (/.f64 #s(literal 9/16 binary64) (pow.f64 b #s(literal 5 binary64))) (pow.f64 a #s(literal 3 binary64))))) c (*.f64 (/.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal 3 binary64))) (*.f64 a a))) (*.f64 #s(literal -3/2 binary64) (/.f64 a b)))
(*.f64 #s(literal 3 binary64) (fma.f64 (fma.f64 (/.f64 #s(literal -3/4 binary64) b) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) a) b) (fma.f64 (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) a)) #s(literal -2/9 binary64) (/.f64 (*.f64 #s(literal 9/16 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64))))) c (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))))
(fma.f64 (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -9/8 binary64)) a (*.f64 (*.f64 #s(literal 3 binary64) c) (fma.f64 #s(literal 9/32 binary64) (/.f64 (/.f64 (pow.f64 (/.f64 a b) #s(literal 3 binary64)) b) b) (fma.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 (/.f64 #s(literal -45/32 binary64) a) b) (*.f64 (/.f64 #s(literal 9/16 binary64) (pow.f64 b #s(literal 5 binary64))) (pow.f64 a #s(literal 3 binary64)))))))
#s(literal 3 binary64)
(fma.f64 (fma.f64 (/.f64 #s(literal -3/4 binary64) b) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) a) b) (fma.f64 (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) a)) #s(literal -2/9 binary64) (/.f64 (*.f64 #s(literal 9/16 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64))))) c (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)))
(fma.f64 (fma.f64 #s(literal 9/32 binary64) (/.f64 (/.f64 (pow.f64 (/.f64 a b) #s(literal 3 binary64)) b) b) (fma.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 (/.f64 #s(literal -45/32 binary64) a) b) (*.f64 (/.f64 #s(literal 9/16 binary64) (pow.f64 b #s(literal 5 binary64))) (pow.f64 a #s(literal 3 binary64))))) c (*.f64 (/.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal 3 binary64))) (*.f64 a a)))
(fma.f64 (/.f64 #s(literal -3/4 binary64) b) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) a) b) (fma.f64 (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) a)) #s(literal -2/9 binary64) (/.f64 (*.f64 #s(literal 9/16 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))))
(fma.f64 #s(literal 9/32 binary64) (/.f64 (/.f64 (pow.f64 (/.f64 a b) #s(literal 3 binary64)) b) b) (fma.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 (/.f64 #s(literal -45/32 binary64) a) b) (*.f64 (/.f64 #s(literal 9/16 binary64) (pow.f64 b #s(literal 5 binary64))) (pow.f64 a #s(literal 3 binary64)))))
(/.f64 #s(literal -3/4 binary64) b)
#s(literal -3/4 binary64)
b
(/.f64 (*.f64 (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) a) b)
(*.f64 (/.f64 (pow.f64 (/.f64 a b) #s(literal 3 binary64)) b) #s(literal -3/8 binary64))
(*.f64 (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) a)
(*.f64 (pow.f64 (/.f64 a b) #s(literal 3 binary64)) #s(literal -3/8 binary64))
(*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))
(*.f64 (/.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal 3 binary64))) (*.f64 a a))
(/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64)))
(*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) a)
(*.f64 a a)
a
(pow.f64 b #s(literal 3 binary64))
#s(literal -3/8 binary64)
(fma.f64 (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) a)) #s(literal -2/9 binary64) (/.f64 (*.f64 #s(literal 9/16 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64))))
(fma.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 (/.f64 #s(literal -45/32 binary64) a) b) (*.f64 (/.f64 #s(literal 9/16 binary64) (pow.f64 b #s(literal 5 binary64))) (pow.f64 a #s(literal 3 binary64))))
(*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) a))
(*.f64 (/.f64 (*.f64 b (pow.f64 a #s(literal 4 binary64))) a) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64))))
(/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) a)
(*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) a) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64))))
(*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64))
(*.f64 (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64))) (pow.f64 a #s(literal 4 binary64)))
(/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64)))
(pow.f64 a #s(literal 4 binary64))
#s(literal 4 binary64)
(pow.f64 b #s(literal 6 binary64))
#s(literal 6 binary64)
#s(literal 405/64 binary64)
#s(literal -2/9 binary64)
(/.f64 (*.f64 #s(literal 9/16 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))
(*.f64 (/.f64 #s(literal 9/16 binary64) (pow.f64 b #s(literal 5 binary64))) (pow.f64 a #s(literal 3 binary64)))
(*.f64 #s(literal 9/16 binary64) (pow.f64 a #s(literal 3 binary64)))
(*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 9/16 binary64))
#s(literal 9/16 binary64)
(pow.f64 a #s(literal 3 binary64))
(pow.f64 b #s(literal 5 binary64))
#s(literal 5 binary64)
c
(*.f64 (/.f64 a b) #s(literal -3/2 binary64))
(*.f64 #s(literal -3/2 binary64) (/.f64 a b))
(/.f64 a b)
#s(literal -3/2 binary64)
(*.f64 b #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) b)
#s(literal 2 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal -1/2 binary64) b) c))
(*.f64 c (/.f64 #s(literal -1/2 binary64) b))
(*.f64 (/.f64 #s(literal -1/2 binary64) b) c)
c
(/.f64 #s(literal -1/2 binary64) b)
#s(literal -1/2 binary64)
b
(/.f64 #s(literal 1/3 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) b))
#s(literal 1/3 binary64)
(/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))
(/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) b))
a
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)
(-.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) b)
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))
(sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))
(fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))
(*.f64 #s(literal -3 binary64) c)
(*.f64 c #s(literal -3 binary64))
#s(literal -3 binary64)
c
(*.f64 b b)
b
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 c c) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 c (/.f64 (*.f64 a (+.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal -9/8 binary64) b) a) c) b) #s(literal -3/2 binary64))) b))) (*.f64 #s(literal 3 binary64) a))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 c c) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 c (/.f64 (*.f64 a (+.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal -9/8 binary64) b) a) c) b) #s(literal -3/2 binary64))) b)))
(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 c c) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b)
(*.f64 c (/.f64 (*.f64 a (+.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal -9/8 binary64) b) a) c) b) #s(literal -3/2 binary64))) b))
(fma.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 c c) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64)))
(*.f64 c (*.f64 a (+.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal -9/8 binary64) b) a) c) b) #s(literal -3/2 binary64))))
(/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) b)
(/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) b)
(*.f64 (*.f64 a a) #s(literal -9/8 binary64))
(*.f64 #s(literal -9/8 binary64) (*.f64 a a))
(*.f64 a a)
a
#s(literal -9/8 binary64)
b
(/.f64 (*.f64 c c) b)
(*.f64 c c)
c
(*.f64 (*.f64 c a) #s(literal -3/2 binary64))
(*.f64 (*.f64 a c) #s(literal -3/2 binary64))
(*.f64 c a)
(*.f64 a c)
#s(literal -3/2 binary64)
(*.f64 #s(literal 3 binary64) a)
#s(literal 3 binary64)
(/.f64 (fma.f64 (pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 (/.f64 b c) b)) c)) #s(literal 1/4 binary64)) (pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 (/.f64 b c) b)) c)) #s(literal 1/4 binary64)) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (-.f64 b (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 (/.f64 b c) b (*.f64 a #s(literal -3 binary64))) c)))) (*.f64 a #s(literal -3 binary64)))
(fma.f64 (pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 (/.f64 b c) b)) c)) #s(literal 1/4 binary64)) (pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 (/.f64 b c) b)) c)) #s(literal 1/4 binary64)) (neg.f64 b))
(-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 (/.f64 b c) b (*.f64 a #s(literal -3 binary64))) c))) b)
(pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 (/.f64 b c) b)) c)) #s(literal 1/4 binary64))
(pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 (/.f64 b c) b (*.f64 a #s(literal -3 binary64))) c)) #s(literal 1/4 binary64))
#s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 (/.f64 b c) b)) c))
#s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 (/.f64 b c) b (*.f64 a #s(literal -3 binary64))) c))
(*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 (/.f64 b c) b)) c)
(*.f64 (fma.f64 (/.f64 b c) b (*.f64 a #s(literal -3 binary64))) c)
(fma.f64 #s(literal -3 binary64) a (*.f64 (/.f64 b c) b))
(fma.f64 (/.f64 b c) b (*.f64 a #s(literal -3 binary64)))
#s(literal -3 binary64)
a
(*.f64 (/.f64 b c) b)
(/.f64 b c)
b
c
#s(literal 1/4 binary64)
(neg.f64 b)
(*.f64 #s(literal 3 binary64) a)
#s(literal 3 binary64)

localize443.0ms (4%)

Memory
-14.7MiB live, 669.8MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.2656029431127299
(fma.f64 #s(literal -3 binary64) a (*.f64 (/.f64 b c) b))
accuracy0.28125
(*.f64 (/.f64 b c) b)
accuracy0.34994125976844204
(/.f64 (fma.f64 (pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 (/.f64 b c) b)) c)) #s(literal 1/4 binary64)) (pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 (/.f64 b c) b)) c)) #s(literal 1/4 binary64)) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a))
accuracy30.572392843535653
(fma.f64 (pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 (/.f64 b c) b)) c)) #s(literal 1/4 binary64)) (pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 (/.f64 b c) b)) c)) #s(literal 1/4 binary64)) (neg.f64 b))
accuracy0.27734375
(*.f64 (*.f64 c a) #s(literal -3/2 binary64))
accuracy0.2890625
(*.f64 (*.f64 a a) #s(literal -9/8 binary64))
accuracy0.34994125976844204
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 c c) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b)) (*.f64 #s(literal 3 binary64) a))
accuracy11.116205394157026
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 c c) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b))
accuracy0.23828125
(/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))
accuracy0.26060252155338326
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))
accuracy0.375
(/.f64 #s(literal 1/3 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
accuracy30.687309064258702
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)
accuracy0
(/.f64 #s(literal -1/2 binary64) b)
accuracy0.26953125
(*.f64 c (/.f64 #s(literal -1/2 binary64) b))
accuracy21.408884875225972
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b)))
accuracy0.37728500976844204
(/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64)))
accuracy0.4381637695368841
(fma.f64 (/.f64 #s(literal -3/4 binary64) b) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) a) b) (fma.f64 (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) a)) #s(literal -2/9 binary64) (/.f64 (*.f64 #s(literal 9/16 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))))
accuracy0.6130639160635145
(fma.f64 (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) a)) #s(literal -2/9 binary64) (/.f64 (*.f64 #s(literal 9/16 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64))))
accuracy4.9371332766640075
#s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (* -3 a)) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (fma.f64 (fma.f64 (/.f64 #s(literal -3/4 binary64) b) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) a) b) (fma.f64 (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) a)) #s(literal -2/9 binary64) (/.f64 (*.f64 #s(literal 9/16 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64))))) c (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c (*.f64 b #s(literal 2 binary64))) c))
Samples
135.0ms162×0valid
125.0ms94×1valid
Compiler

Compiled 895 to 92 computations (89.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 211.0ms
ival-mult: 62.0ms (29.3% of total)
ival-pow: 60.0ms (28.4% of total)
ival-div: 38.0ms (18% of total)
ival-add: 17.0ms (8% of total)
adjust: 12.0ms (5.7% of total)
const: 11.0ms (5.2% of total)
ival-sqrt: 5.0ms (2.4% of total)
ival-sub: 3.0ms (1.4% of total)
exact: 2.0ms (0.9% of total)
ival-neg: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series171.0ms (1.5%)

Memory
39.9MiB live, 191.7MiB allocated
Counts
26 → 804
Calls
Call 1
Inputs
#s(alt (*.f64 (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) a) (patch (*.f64 (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) a) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 #s(literal -3/4 binary64) b) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) a) b) (fma.f64 (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) a)) #s(literal -2/9 binary64) (/.f64 (*.f64 #s(literal 9/16 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64))))) (patch (fma.f64 (/.f64 #s(literal -3/4 binary64) b) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) a) b) (fma.f64 (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) a)) #s(literal -2/9 binary64) (/.f64 (*.f64 #s(literal 9/16 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64))))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) a)) #s(literal -2/9 binary64) (/.f64 (*.f64 #s(literal 9/16 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) (patch (fma.f64 (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) a)) #s(literal -2/9 binary64) (/.f64 (*.f64 #s(literal 9/16 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (* -3 a)) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (fma.f64 (fma.f64 (/.f64 #s(literal -3/4 binary64) b) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) a) b) (fma.f64 (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) a)) #s(literal -2/9 binary64) (/.f64 (*.f64 #s(literal 9/16 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64))))) c (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c (*.f64 b #s(literal 2 binary64))) c))) (patch (/.f64 #s(literal -1 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (* -3 a)) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (fma.f64 (fma.f64 (/.f64 #s(literal -3/4 binary64) b) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) a) b) (fma.f64 (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) a)) #s(literal -2/9 binary64) (/.f64 (*.f64 #s(literal 9/16 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64))))) c (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c (*.f64 b #s(literal 2 binary64))) c))) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) #<representation binary64>) () ())
#s(alt (*.f64 c (/.f64 #s(literal -1/2 binary64) b)) (patch (*.f64 c (/.f64 #s(literal -1/2 binary64) b)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1/2 binary64) b) (patch (/.f64 #s(literal -1/2 binary64) b) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/3 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) (patch (/.f64 #s(literal 1/3 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) #<representation binary64>) () ())
#s(alt (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (patch (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) #<representation binary64>) () ())
#s(alt (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (patch (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 c c) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) (patch (fma.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 c c) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 c c) b) (*.f64 (*.f64 c a) #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 (fma.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 c c) b) (*.f64 (*.f64 c a) #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 (fma.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 c c) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b)) (patch #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 c c) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 c c) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b) (patch (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 c c) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b) #<representation binary64>) () ())
#s(alt (fma.f64 (pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 (/.f64 b c) b)) c)) #s(literal 1/4 binary64)) (pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 (/.f64 b c) b)) c)) #s(literal 1/4 binary64)) (neg.f64 b)) (patch (fma.f64 (pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 (/.f64 b c) b)) c)) #s(literal 1/4 binary64)) (pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 (/.f64 b c) b)) c)) #s(literal 1/4 binary64)) (neg.f64 b)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 (/.f64 b c) b)) c)) #s(literal 1/4 binary64)) (pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 (/.f64 b c) b)) c)) #s(literal 1/4 binary64)) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (fma.f64 (pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 (/.f64 b c) b)) c)) #s(literal 1/4 binary64)) (pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 (/.f64 b c) b)) c)) #s(literal 1/4 binary64)) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())
#s(alt (pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 (/.f64 b c) b)) c)) #s(literal 1/4 binary64)) (patch (pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 (/.f64 b c) b)) c)) #s(literal 1/4 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 (/.f64 b c) b)) c)) (patch #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 (/.f64 b c) b)) c)) #<representation binary64>) () ())
#s(alt #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (* -3 a)) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (fma.f64 (fma.f64 (/.f64 #s(literal -3/4 binary64) b) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) a) b) (fma.f64 (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) a)) #s(literal -2/9 binary64) (/.f64 (*.f64 #s(literal 9/16 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64))))) c (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c (*.f64 b #s(literal 2 binary64))) c)) (patch #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (* -3 a)) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (fma.f64 (fma.f64 (/.f64 #s(literal -3/4 binary64) b) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) a) b) (fma.f64 (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) a)) #s(literal -2/9 binary64) (/.f64 (*.f64 #s(literal 9/16 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64))))) c (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c (*.f64 b #s(literal 2 binary64))) c)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) (patch (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (patch (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) (patch (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) (patch (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 b c) b) (patch (*.f64 (/.f64 b c) b) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -3 binary64) a (*.f64 (/.f64 b c) b)) (patch (fma.f64 #s(literal -3 binary64) a (*.f64 (/.f64 b c) b)) #<representation binary64>) () ())
Outputs
#s(alt (* -1/2 (/ c b)) (taylor 0 c) (#s(alt (/.f64 #s(literal -1 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (* -3 a)) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (fma.f64 (fma.f64 (/.f64 #s(literal -3/4 binary64) b) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) a) b) (fma.f64 (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) a)) #s(literal -2/9 binary64) (/.f64 (*.f64 #s(literal 9/16 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64))))) c (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c (*.f64 b #s(literal 2 binary64))) c))) (patch (/.f64 #s(literal -1 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (* -3 a)) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (fma.f64 (fma.f64 (/.f64 #s(literal -3/4 binary64) b) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) a) b) (fma.f64 (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) a)) #s(literal -2/9 binary64) (/.f64 (*.f64 #s(literal 9/16 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64))))) c (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c (*.f64 b #s(literal 2 binary64))) c))) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt (/.f64 #s(literal -1 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (* -3 a)) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (fma.f64 (fma.f64 (/.f64 #s(literal -3/4 binary64) b) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) a) b) (fma.f64 (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) a)) #s(literal -2/9 binary64) (/.f64 (*.f64 #s(literal 9/16 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64))))) c (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c (*.f64 b #s(literal 2 binary64))) c))) (patch (/.f64 #s(literal -1 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (* -3 a)) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (fma.f64 (fma.f64 (/.f64 #s(literal -3/4 binary64) b) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) a) b) (fma.f64 (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) a)) #s(literal -2/9 binary64) (/.f64 (*.f64 #s(literal 9/16 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64))))) c (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c (*.f64 b #s(literal 2 binary64))) c))) #<representation binary64>) () ())) ())
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#s(alt (* (sqrt (* a c)) (sqrt -3)) (taylor inf c) (#s(alt (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (patch (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #<representation binary64>) () ())) ())
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#s(alt (* (pow c 2) (+ (* -3/2 (/ a c)) (* -9/8 (/ (pow a 2) (pow b 2))))) (taylor inf c) (#s(alt (fma.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 c c) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) (patch (fma.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 c c) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (+ (* -3/2 (/ a c)) (* -9/8 (/ (pow a 2) (pow b 2))))) (taylor inf c) (#s(alt (fma.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 c c) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) (patch (fma.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 c c) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (+ (* -3/2 (/ a c)) (* -9/8 (/ (pow a 2) (pow b 2))))) (taylor inf c) (#s(alt (fma.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 c c) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) (patch (fma.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 c c) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) (taylor inf c) (#s(alt (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 c c) b) (*.f64 (*.f64 c a) #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 (fma.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 c c) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b)) (*.f64 #s(literal 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 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 c c) b) (*.f64 (*.f64 c a) #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 (fma.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 c c) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b)) (*.f64 #s(literal 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 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 c c) b) (*.f64 (*.f64 c a) #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 (fma.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 c c) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b)) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
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#s(alt (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3)))) (taylor inf c) (#s(alt #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 c c) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b)) (patch #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 c c) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b)) #<representation binary64>) () ())) ())
#s(alt (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c))) (taylor inf c) (#s(alt #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 c c) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b)) (patch #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 c c) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b)) #<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)))) (/ b c))) (taylor inf c) (#s(alt #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 c c) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b)) (patch #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 c c) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b)) #<representation binary64>) () ())) ())
#s(alt (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 3))) (taylor inf c) (#s(alt (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 c c) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b) (patch (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 c c) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (+ (* -3/2 (/ a (* b c))) (* -9/8 (/ (pow a 2) (pow b 3))))) (taylor inf c) (#s(alt (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 c c) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b) (patch (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 c c) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (+ (* -3/2 (/ a (* b c))) (* -9/8 (/ (pow a 2) (pow b 3))))) (taylor inf c) (#s(alt (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 c c) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b) (patch (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 c c) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b) #<representation binary64>) () ())) ())
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#s(alt (/ (pow a 2) (pow b 3)) (taylor -inf a) (#s(alt (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) (patch (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (pow a 2) (pow b 3)) (taylor -inf a) (#s(alt (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) (patch (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (pow a 2) (pow b 3)) (taylor -inf a) (#s(alt (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) (patch (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (pow a 2) (pow b 3)) (taylor -inf a) (#s(alt (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) (patch (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -3 (* a c)) (taylor -inf a) (#s(alt (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (patch (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))) (taylor -inf a) (#s(alt (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (patch (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))) (taylor -inf a) (#s(alt (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (patch (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))) (taylor -inf a) (#s(alt (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (patch (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* -9/8 (pow a 2)) (taylor -inf a) (#s(alt (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) (patch (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -9/8 (pow a 2)) (taylor -inf a) (#s(alt (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) (patch (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -9/8 (pow a 2)) (taylor -inf a) (#s(alt (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) (patch (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -9/8 (pow a 2)) (taylor -inf a) (#s(alt (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) (patch (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -3/2 (* a c)) (taylor -inf a) (#s(alt (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) (patch (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -3/2 (* a c)) (taylor -inf a) (#s(alt (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) (patch (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -3/2 (* a c)) (taylor -inf a) (#s(alt (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) (patch (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -3/2 (* a c)) (taylor -inf a) (#s(alt (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) (patch (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -3 a) (taylor -inf a) (#s(alt (fma.f64 #s(literal -3 binary64) a (*.f64 (/.f64 b c) b)) (patch (fma.f64 #s(literal -3 binary64) a (*.f64 (/.f64 b c) b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ 3 (* -1 (/ (pow b 2) (* a c)))))) (taylor -inf a) (#s(alt (fma.f64 #s(literal -3 binary64) a (*.f64 (/.f64 b c) b)) (patch (fma.f64 #s(literal -3 binary64) a (*.f64 (/.f64 b c) b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ 3 (* -1 (/ (pow b 2) (* a c)))))) (taylor -inf a) (#s(alt (fma.f64 #s(literal -3 binary64) a (*.f64 (/.f64 b c) b)) (patch (fma.f64 #s(literal -3 binary64) a (*.f64 (/.f64 b c) b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ 3 (* -1 (/ (pow b 2) (* a c)))))) (taylor -inf a) (#s(alt (fma.f64 #s(literal -3 binary64) a (*.f64 (/.f64 b c) b)) (patch (fma.f64 #s(literal -3 binary64) a (*.f64 (/.f64 b c) b)) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
64.0ms
b
@0
((* (* (/ (* a a) (pow b 3)) -3/8) a) (+ (* (/ -3/4 b) (/ (* (* (/ (* a a) (pow b 3)) -3/8) a) b)) (+ (* (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) a)) -2/9) (/ (* 9/16 (pow a 3)) (pow b 5)))) (+ (* (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) a)) -2/9) (/ (* 9/16 (pow a 3)) (pow b 5))) (/ -1 (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (* -3 a))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* c (/ -1/2 b)) (/ -1/2 b) (/ 1/3 (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b))) (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (sqrt (+ (* (* -3 c) a) (* b b))) (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/ (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) b) (+ (* (pow (- (* b b) (* (* 3 a) c)) 1/4) (pow (- (* b b) (* (* 3 a) c)) 1/4)) (neg b)) (/ (+ (* (pow (- (* b b) (* (* 3 a) c)) 1/4) (pow (- (* b b) (* (* 3 a) c)) 1/4)) (neg b)) (* 3 a)) (pow (- (* b b) (* (* 3 a) c)) 1/4) (- (* b b) (* (* 3 a) c)) (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (* -3 a)) (/ (* a a) (pow b 3)) (+ (* (* -3 c) a) (* b b)) (* (* a a) -9/8) (* (* c a) -3/2) (* (/ b c) b) (+ (* -3 a) (* (/ b c) b)))
11.0ms
a
@-inf
((* (* (/ (* a a) (pow b 3)) -3/8) a) (+ (* (/ -3/4 b) (/ (* (* (/ (* a a) (pow b 3)) -3/8) a) b)) (+ (* (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) a)) -2/9) (/ (* 9/16 (pow a 3)) (pow b 5)))) (+ (* (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) a)) -2/9) (/ (* 9/16 (pow a 3)) (pow b 5))) (/ -1 (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (* -3 a))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* c (/ -1/2 b)) (/ -1/2 b) (/ 1/3 (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b))) (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (sqrt (+ (* (* -3 c) a) (* b b))) (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/ (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) b) (+ (* (pow (- (* b b) (* (* 3 a) c)) 1/4) (pow (- (* b b) (* (* 3 a) c)) 1/4)) (neg b)) (/ (+ (* (pow (- (* b b) (* (* 3 a) c)) 1/4) (pow (- (* b b) (* (* 3 a) c)) 1/4)) (neg b)) (* 3 a)) (pow (- (* b b) (* (* 3 a) c)) 1/4) (- (* b b) (* (* 3 a) c)) (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (* -3 a)) (/ (* a a) (pow b 3)) (+ (* (* -3 c) a) (* b b)) (* (* a a) -9/8) (* (* c a) -3/2) (* (/ b c) b) (+ (* -3 a) (* (/ b c) b)))
7.0ms
a
@0
((* (* (/ (* a a) (pow b 3)) -3/8) a) (+ (* (/ -3/4 b) (/ (* (* (/ (* a a) (pow b 3)) -3/8) a) b)) (+ (* (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) a)) -2/9) (/ (* 9/16 (pow a 3)) (pow b 5)))) (+ (* (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) a)) -2/9) (/ (* 9/16 (pow a 3)) (pow b 5))) (/ -1 (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (* -3 a))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* c (/ -1/2 b)) (/ -1/2 b) (/ 1/3 (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b))) (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (sqrt (+ (* (* -3 c) a) (* b b))) (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/ (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) b) (+ (* (pow (- (* b b) (* (* 3 a) c)) 1/4) (pow (- (* b b) (* (* 3 a) c)) 1/4)) (neg b)) (/ (+ (* (pow (- (* b b) (* (* 3 a) c)) 1/4) (pow (- (* b b) (* (* 3 a) c)) 1/4)) (neg b)) (* 3 a)) (pow (- (* b b) (* (* 3 a) c)) 1/4) (- (* b b) (* (* 3 a) c)) (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (* -3 a)) (/ (* a a) (pow b 3)) (+ (* (* -3 c) a) (* b b)) (* (* a a) -9/8) (* (* c a) -3/2) (* (/ b c) b) (+ (* -3 a) (* (/ b c) b)))
7.0ms
a
@inf
((* (* (/ (* a a) (pow b 3)) -3/8) a) (+ (* (/ -3/4 b) (/ (* (* (/ (* a a) (pow b 3)) -3/8) a) b)) (+ (* (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) a)) -2/9) (/ (* 9/16 (pow a 3)) (pow b 5)))) (+ (* (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) a)) -2/9) (/ (* 9/16 (pow a 3)) (pow b 5))) (/ -1 (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (* -3 a))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* c (/ -1/2 b)) (/ -1/2 b) (/ 1/3 (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b))) (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (sqrt (+ (* (* -3 c) a) (* b b))) (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/ (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) b) (+ (* (pow (- (* b b) (* (* 3 a) c)) 1/4) (pow (- (* b b) (* (* 3 a) c)) 1/4)) (neg b)) (/ (+ (* (pow (- (* b b) (* (* 3 a) c)) 1/4) (pow (- (* b b) (* (* 3 a) c)) 1/4)) (neg b)) (* 3 a)) (pow (- (* b b) (* (* 3 a) c)) 1/4) (- (* b b) (* (* 3 a) c)) (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (* -3 a)) (/ (* a a) (pow b 3)) (+ (* (* -3 c) a) (* b b)) (* (* a a) -9/8) (* (* c a) -3/2) (* (/ b c) b) (+ (* -3 a) (* (/ b c) b)))
7.0ms
b
@inf
((* (* (/ (* a a) (pow b 3)) -3/8) a) (+ (* (/ -3/4 b) (/ (* (* (/ (* a a) (pow b 3)) -3/8) a) b)) (+ (* (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) a)) -2/9) (/ (* 9/16 (pow a 3)) (pow b 5)))) (+ (* (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) a)) -2/9) (/ (* 9/16 (pow a 3)) (pow b 5))) (/ -1 (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (* -3 a))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* c (/ -1/2 b)) (/ -1/2 b) (/ 1/3 (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b))) (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (sqrt (+ (* (* -3 c) a) (* b b))) (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/ (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) b) (+ (* (pow (- (* b b) (* (* 3 a) c)) 1/4) (pow (- (* b b) (* (* 3 a) c)) 1/4)) (neg b)) (/ (+ (* (pow (- (* b b) (* (* 3 a) c)) 1/4) (pow (- (* b b) (* (* 3 a) c)) 1/4)) (neg b)) (* 3 a)) (pow (- (* b b) (* (* 3 a) c)) 1/4) (- (* b b) (* (* 3 a) c)) (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (* -3 a)) (/ (* a a) (pow b 3)) (+ (* (* -3 c) a) (* b b)) (* (* a a) -9/8) (* (* c a) -3/2) (* (/ b c) b) (+ (* -3 a) (* (/ b c) b)))

simplify307.0ms (2.7%)

Memory
1.6MiB live, 343.8MiB allocated
Algorithm
egg-herbie
Rules
8 356×lower-*.f64
8 356×lower-*.f32
7 582×lower-fma.f64
7 582×lower-fma.f32
5 222×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0138616868
1456516495
0922715812
Stop Event
iter limit
node limit
Counts
804 → 801
Calls
Call 1
Inputs
(* -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))))
(* -1/2 (/ 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))))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -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))))
(* -2/3 (/ b c))
(/ (+ (* -2/3 b) (* 1/2 (/ (* a c) b))) c)
(/ (+ (* -2/3 b) (* c (- (* -1 (* c (+ (* -3/4 (/ (pow a 2) (pow b 3))) (* 3/8 (/ (pow a 2) (pow b 3)))))) (* -1/2 (/ a b))))) c)
(/ (+ (* -2/3 b) (* c (- (* c (- (* -1 (* c (+ (* -3/4 (/ (* a (+ (* -3/4 (/ (pow a 2) (pow b 3))) (* 3/8 (/ (pow a 2) (pow b 3))))) (pow b 2))) (+ (* -2/9 (/ (* b (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) a)) (* 9/16 (/ (pow a 3) (pow b 5))))))) (+ (* -3/4 (/ (pow a 2) (pow b 3))) (* 3/8 (/ (pow a 2) (pow b 3)))))) (* -1/2 (/ a b))))) c)
(* -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))))))))
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))))))))
(* -3/2 (* a c))
(* c (+ (* -3/2 a) (* -9/8 (/ (* (pow a 2) c) (pow b 2)))))
(* c (+ (* -3/2 a) (* -9/8 (/ (* (pow a 2) c) (pow b 2)))))
(* c (+ (* -3/2 a) (* -9/8 (/ (* (pow a 2) c) (pow b 2)))))
(* -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))))
(* -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))))))))
(* -3/2 (/ (* a c) b))
(* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 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))))))))
(* -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))))
(* (pow 1 1/4) (sqrt b))
(+ (* -3/4 (* (pow 1 1/4) (* (* a c) (sqrt (/ 1 (pow b 3)))))) (* (pow 1 1/4) (sqrt b)))
(+ (* c (+ (* -3/4 (* (pow 1 1/4) (* a (sqrt (/ 1 (pow b 3)))))) (* (pow 1 1/4) (* (sqrt b) (* c (+ (* -9/8 (/ (pow a 2) (pow b 4))) (* 9/32 (/ (pow a 2) (pow b 4))))))))) (* (pow 1 1/4) (sqrt b)))
(+ (* c (+ (* -3/4 (* (pow 1 1/4) (* a (sqrt (/ 1 (pow b 3)))))) (* c (+ (* (pow 1 1/4) (* (sqrt b) (* c (+ (* -9/4 (/ (pow a 3) (pow b 6))) (+ (* -9/128 (/ (pow a 3) (pow b 6))) (* 27/32 (/ (pow a 3) (pow b 6)))))))) (* (pow 1 1/4) (* (sqrt b) (+ (* -9/8 (/ (pow a 2) (pow b 4))) (* 9/32 (/ (pow a 2) (pow b 4)))))))))) (* (pow 1 1/4) (sqrt b)))
(pow b 2)
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(* 2 (/ b c))
(/ (+ (* -3/2 (/ (* a c) b)) (* 2 b)) c)
(/ (+ (* 2 b) (* c (+ (* -3/2 (/ a b)) (* 3 (* c (+ (* -3/4 (/ (pow a 2) (pow b 3))) (* 3/8 (/ (pow a 2) (pow b 3))))))))) c)
(/ (+ (* 2 b) (* c (+ (* -3/2 (/ a b)) (* c (+ (* 3 (* c (+ (* -3/4 (/ (* a (+ (* -3/4 (/ (pow a 2) (pow b 3))) (* 3/8 (/ (pow a 2) (pow b 3))))) (pow b 2))) (+ (* -2/9 (/ (* b (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) a)) (* 9/16 (/ (pow a 3) (pow b 5))))))) (* 3 (+ (* -3/4 (/ (pow a 2) (pow b 3))) (* 3/8 (/ (pow a 2) (pow b 3)))))))))) c)
(pow b 2)
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(* -3/2 (* a c))
(* -3/2 (* a c))
(* -3/2 (* a c))
(* -3/2 (* a c))
(/ (pow b 2) c)
(/ (pow b 2) c)
(/ (pow b 2) c)
(/ (pow b 2) c)
(/ (pow b 2) c)
(/ (+ (* -3 (* a c)) (pow b 2)) c)
(/ (+ (* -3 (* a c)) (pow b 2)) c)
(/ (+ (* -3 (* a c)) (pow b 2)) c)
(* 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 -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)))))))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c 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)))))))
(* (sqrt (/ a c)) (/ 1 (sqrt -3)))
(/ (+ (* (sqrt (* a c)) (/ 1 (sqrt -3))) (/ b (pow (sqrt -3) 2))) c)
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3))))) (pow c 2))) (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (* -1 (/ b (pow (sqrt -3) 2)))) c)
(/ (- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow b 3) (pow c 2)) (* a (pow (sqrt -3) 4)))) (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3)))) (pow c 3))) (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* -1 (/ b (pow (sqrt -3) 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3))))))) c)
(* (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)))
(* (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))))))
(* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))
(* (pow c 2) (+ (* -3/2 (/ a c)) (* -9/8 (/ (pow a 2) (pow b 2)))))
(* (pow c 2) (+ (* -3/2 (/ a c)) (* -9/8 (/ (pow a 2) (pow b 2)))))
(* (pow c 2) (+ (* -3/2 (/ a c)) (* -9/8 (/ (pow a 2) (pow b 2)))))
(* 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)))))))
(* (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)))
(* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 3)))
(* (pow c 2) (+ (* -3/2 (/ a (* b c))) (* -9/8 (/ (pow a 2) (pow b 3)))))
(* (pow c 2) (+ (* -3/2 (/ a (* b c))) (* -9/8 (/ (pow a 2) (pow b 3)))))
(* (pow c 2) (+ (* -3/2 (/ a (* b c))) (* -9/8 (/ (pow a 2) (pow b 3)))))
(* (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)))
(* 1/3 (* (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)))))))
(exp (* 1/4 (+ (log (* -3 a)) (* -1 (log (/ 1 c))))))
(+ (exp (* 1/4 (+ (log (* -3 a)) (* -1 (log (/ 1 c)))))) (* -1/12 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* -3 a)) (* -1 (log (/ 1 c))))))) (* a c))))
(+ (exp (* 1/4 (+ (log (* -3 a)) (* -1 (log (/ 1 c)))))) (+ (* -1/12 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* -3 a)) (* -1 (log (/ 1 c))))))) (* a c))) (/ (* (exp (* 1/4 (+ (log (* -3 a)) (* -1 (log (/ 1 c)))))) (+ (* -1/72 (/ (pow b 4) (pow a 2))) (* 1/288 (/ (pow b 4) (pow a 2))))) (pow c 2))))
(+ (exp (* 1/4 (+ (log (* -3 a)) (* -1 (log (/ 1 c)))))) (+ (* -1/12 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* -3 a)) (* -1 (log (/ 1 c))))))) (* a c))) (+ (/ (* (exp (* 1/4 (+ (log (* -3 a)) (* -1 (log (/ 1 c)))))) (+ (* -1/72 (/ (pow b 4) (pow a 2))) (* 1/288 (/ (pow b 4) (pow a 2))))) (pow c 2)) (/ (* (exp (* 1/4 (+ (log (* -3 a)) (* -1 (log (/ 1 c)))))) (+ (* -1/324 (/ (pow b 6) (pow a 3))) (+ (* -1/10368 (/ (pow b 6) (pow a 3))) (* 1/864 (/ (pow b 6) (pow a 3)))))) (pow c 3)))))
(* -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 (* (sqrt (/ a c)) (/ 1 (sqrt -3))))
(/ (+ (* -3 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (* -3 (/ b (pow (sqrt -3) 2)))) c)
(/ (+ (* -3 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (+ (* -3 (/ b (pow (sqrt -3) 2))) (* 3 (/ (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3))))) (pow c 2))))) c)
(/ (+ (* -3 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (+ (* -3 (/ b (pow (sqrt -3) 2))) (+ (* 3 (/ (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3))))) (pow c 2))) (* 3 (/ (+ (* 1/2 (/ (* (pow b 3) (pow c 2)) (* a (pow (sqrt -3) 4)))) (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3)))) (pow c 3)))))) c)
(* -3 (* a c))
(* c (+ (* -3 a) (/ (pow b 2) c)))
(* c (+ (* -3 a) (/ (pow b 2) c)))
(* c (+ (* -3 a) (/ (pow b 2) c)))
(* -3/2 (* a c))
(* -3/2 (* a c))
(* -3/2 (* a c))
(* -3/2 (* a c))
(/ (pow b 2) c)
(/ (pow b 2) c)
(/ (pow b 2) c)
(/ (pow b 2) c)
(* -3 a)
(+ (* -3 a) (/ (pow b 2) c))
(+ (* -3 a) (/ (pow b 2) c))
(+ (* -3 a) (/ (pow b 2) c))
(* -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 (/ 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))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -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 (/ a c)) (/ (sqrt -1) (sqrt 3))))
(* -1 (/ (+ (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3))) (/ b (pow (sqrt 3) 2))) c))
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) (/ (* b c) (pow (sqrt 3) 2))) c)) (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) c))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/2 (/ (* (pow b 3) c) (* a (pow (sqrt 3) 4)))) (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) c)) (/ (* b c) (pow (sqrt 3) 2))) c)) (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) 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 (* (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))))))))
(* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))
(* (pow c 2) (+ (* -3/2 (/ a c)) (* -9/8 (/ (pow a 2) (pow b 2)))))
(* (pow c 2) (+ (* -3/2 (/ a c)) (* -9/8 (/ (pow a 2) (pow b 2)))))
(* (pow c 2) (+ (* -3/2 (/ a c)) (* -9/8 (/ (pow a 2) (pow b 2)))))
(* -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 (* 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))))))
(* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 3)))
(* (pow c 2) (+ (* -3/2 (/ a (* b c))) (* -9/8 (/ (pow a 2) (pow b 3)))))
(* (pow c 2) (+ (* -3/2 (/ a (* b c))) (* -9/8 (/ (pow a 2) (pow b 3)))))
(* (pow c 2) (+ (* -3/2 (/ a (* b c))) (* -9/8 (/ (pow a 2) (pow b 3)))))
(* -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 -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)))))))
(exp (* 1/4 (+ (log (* 3 a)) (* -1 (log (/ -1 c))))))
(+ (exp (* 1/4 (+ (log (* 3 a)) (* -1 (log (/ -1 c)))))) (* -1/12 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* 3 a)) (* -1 (log (/ -1 c))))))) (* a c))))
(+ (exp (* 1/4 (+ (log (* 3 a)) (* -1 (log (/ -1 c)))))) (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log (* 3 a)) (* -1 (log (/ -1 c)))))) (+ (* -1/72 (/ (pow b 4) (pow a 2))) (* 1/288 (/ (pow b 4) (pow a 2))))) c)) (* 1/12 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* 3 a)) (* -1 (log (/ -1 c))))))) a))) c)))
(+ (exp (* 1/4 (+ (log (* 3 a)) (* -1 (log (/ -1 c)))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log (* 3 a)) (* -1 (log (/ -1 c)))))) (+ (* -1/864 (/ (pow b 6) (pow a 3))) (+ (* 1/10368 (/ (pow b 6) (pow a 3))) (* 1/324 (/ (pow b 6) (pow a 3)))))) c)) (* (exp (* 1/4 (+ (log (* 3 a)) (* -1 (log (/ -1 c)))))) (+ (* -1/72 (/ (pow b 4) (pow a 2))) (* 1/288 (/ (pow b 4) (pow a 2)))))) c)) (* 1/12 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* 3 a)) (* -1 (log (/ -1 c))))))) a))) 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 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3))))
(* -1 (/ (+ (* -3 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (* -3 (/ b (pow (sqrt 3) 2)))) c))
(* -1 (/ (+ (* -3 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -3 (/ (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) c)) (* 3 (/ (* b c) (pow (sqrt 3) 2)))) c))) c))
(* -1 (/ (+ (* -3 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -1 (/ (+ (* -3 (/ (+ (* 1/2 (/ (* (pow b 3) (pow c 2)) (* a (pow (sqrt 3) 4)))) (* (sqrt (/ c a)) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) c)) (* 3 (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) c)) (* 3 (/ (* b c) (pow (sqrt 3) 2)))) c))) 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))))
(* -3/2 (* a c))
(* -3/2 (* a c))
(* -3/2 (* a c))
(* -3/2 (* a c))
(/ (pow b 2) c)
(/ (pow b 2) c)
(/ (pow b 2) c)
(/ (pow b 2) c)
(* -3 a)
(+ (* -3 a) (/ (pow b 2) c))
(+ (* -3 a) (/ (pow b 2) c))
(+ (* -3 a) (/ (pow b 2) c))
(* -3/8 (/ (pow a 3) (pow b 3)))
(* -3/8 (/ (pow a 3) (pow b 3)))
(* -3/8 (/ (pow a 3) (pow b 3)))
(* -3/8 (/ (pow a 3) (pow b 3)))
(/ (+ (* -45/32 (pow a 3)) (+ (* 9/32 (pow a 3)) (* 9/16 (pow a 3)))) (pow b 5))
(/ (+ (* -45/32 (pow a 3)) (+ (* 9/32 (pow a 3)) (* 9/16 (pow a 3)))) (pow b 5))
(/ (+ (* -45/32 (pow a 3)) (+ (* 9/32 (pow a 3)) (* 9/16 (pow a 3)))) (pow b 5))
(/ (+ (* -45/32 (pow a 3)) (+ (* 9/32 (pow a 3)) (* 9/16 (pow a 3)))) (pow b 5))
(/ (+ (* -45/32 (pow a 3)) (* 9/16 (pow a 3))) (pow b 5))
(/ (+ (* -45/32 (pow a 3)) (* 9/16 (pow a 3))) (pow b 5))
(/ (+ (* -45/32 (pow a 3)) (* 9/16 (pow a 3))) (pow b 5))
(/ (+ (* -45/32 (pow a 3)) (* 9/16 (pow a 3))) (pow b 5))
(* 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)))))
(* 1/3 (* (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 b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(/ -1/2 b)
(/ -1/2 b)
(/ -1/2 b)
(/ -1/2 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)))))
(* (sqrt (/ a c)) (/ 1 (sqrt -3)))
(+ (* (sqrt (/ a c)) (/ 1 (sqrt -3))) (/ b (* c (pow (sqrt -3) 2))))
(+ (* b (+ (* -1 (* b (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -3) 3))))))) (/ 1 (* c (pow (sqrt -3) 2))))) (* (sqrt (/ a c)) (/ 1 (sqrt -3))))
(+ (* b (+ (* b (- (* -1 (* b (+ (* 1/2 (/ 1 (* a (* (pow c 2) (pow (sqrt -3) 4))))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -3) 3))))) (sqrt -3)))))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -3) 3))))))) (/ 1 (* c (pow (sqrt -3) 2))))) (* (sqrt (/ a c)) (/ 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)))
(* (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)))))))))
(* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))
(/ (+ (* -3/2 (* a (* (pow b 2) c))) (* -9/8 (* (pow a 2) (pow c 2)))) (pow b 2))
(/ (+ (* -3/2 (* a (* (pow b 2) c))) (* -9/8 (* (pow a 2) (pow c 2)))) (pow b 2))
(/ (+ (* -3/2 (* a (* (pow b 2) c))) (* -9/8 (* (pow a 2) (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)))))
(* (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)))
(* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 3)))
(/ (+ (* -3/2 (* a (* (pow b 2) c))) (* -9/8 (* (pow a 2) (pow c 2)))) (pow b 3))
(/ (+ (* -3/2 (* a (* (pow b 2) c))) (* -9/8 (* (pow a 2) (pow c 2)))) (pow b 3))
(/ (+ (* -3/2 (* a (* (pow b 2) c))) (* -9/8 (* (pow a 2) (pow c 2)))) (pow b 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)))
(* 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)))))
(pow (* -3 (* a c)) 1/4)
(+ (* -1/12 (* (pow (/ -3 (* (pow a 3) (pow c 3))) 1/4) (pow b 2))) (pow (* -3 (* a c)) 1/4))
(+ (* (pow b 2) (+ (* -1/12 (pow (/ -3 (* (pow a 3) (pow c 3))) 1/4)) (* -1/96 (* (pow (/ -3 (* (pow a 7) (pow c 7))) 1/4) (pow b 2))))) (pow (* -3 (* a c)) 1/4))
(+ (* (pow b 2) (+ (* -1/12 (pow (/ -3 (* (pow a 3) (pow c 3))) 1/4)) (* (pow b 2) (+ (* -1/96 (pow (/ -3 (* (pow a 7) (pow c 7))) 1/4)) (* -7/3456 (* (pow (/ -3 (* (pow a 11) (pow c 11))) 1/4) (pow b 2))))))) (pow (* -3 (* a c)) 1/4))
(* -3 (* a c))
(- (pow b 2) (* 3 (* a c)))
(- (pow b 2) (* 3 (* a c)))
(- (pow b 2) (* 3 (* a c)))
(* -3 (* (sqrt (/ a c)) (/ 1 (sqrt -3))))
(+ (* -3 (* (sqrt (/ a c)) (/ 1 (sqrt -3)))) (* -3 (/ b (* c (pow (sqrt -3) 2)))))
(+ (* -3 (* (sqrt (/ a c)) (/ 1 (sqrt -3)))) (* b (- (* 3 (* b (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -3) 3))))))) (* 3 (/ 1 (* c (pow (sqrt -3) 2)))))))
(+ (* -3 (* (sqrt (/ a c)) (/ 1 (sqrt -3)))) (* b (- (* b (+ (* 3 (* b (+ (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -3) 3))))) (sqrt -3))) (* 1/2 (/ 1 (* a (* (pow c 2) (pow (sqrt -3) 4)))))))) (* 3 (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))))))) (* 3 (/ 1 (* c (pow (sqrt -3) 2)))))))
(/ (pow a 2) (pow b 3))
(/ (pow a 2) (pow b 3))
(/ (pow a 2) (pow b 3))
(/ (pow a 2) (pow b 3))
(* -3 (* a c))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(/ (pow b 2) c)
(/ (pow b 2) c)
(/ (pow b 2) c)
(/ (pow b 2) c)
(* -3 a)
(+ (* -3 a) (/ (pow b 2) c))
(+ (* -3 a) (/ (pow b 2) c))
(+ (* -3 a) (/ (pow b 2) c))
(* -3/8 (/ (pow a 3) (pow b 3)))
(* -3/8 (/ (pow a 3) (pow b 3)))
(* -3/8 (/ (pow a 3) (pow b 3)))
(* -3/8 (/ (pow a 3) (pow b 3)))
(/ (+ (* -45/32 (pow a 3)) (+ (* 9/32 (pow a 3)) (* 9/16 (pow a 3)))) (pow b 5))
(/ (+ (* -45/32 (pow a 3)) (+ (* 9/32 (pow a 3)) (* 9/16 (pow a 3)))) (pow b 5))
(/ (+ (* -45/32 (pow a 3)) (+ (* 9/32 (pow a 3)) (* 9/16 (pow a 3)))) (pow b 5))
(/ (+ (* -45/32 (pow a 3)) (+ (* 9/32 (pow a 3)) (* 9/16 (pow a 3)))) (pow b 5))
(/ (+ (* -45/32 (pow a 3)) (* 9/16 (pow a 3))) (pow b 5))
(/ (+ (* -45/32 (pow a 3)) (* 9/16 (pow a 3))) (pow b 5))
(/ (+ (* -45/32 (pow a 3)) (* 9/16 (pow a 3))) (pow b 5))
(/ (+ (* -45/32 (pow a 3)) (* 9/16 (pow a 3))) (pow b 5))
(* -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)
(* -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)
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(/ -1/2 b)
(/ -1/2 b)
(/ -1/2 b)
(/ -1/2 b)
(* -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 c))
(* b (- (* 1/2 (/ a (pow b 2))) (* 2/3 (/ 1 c))))
(* b (- (* -1 (/ (+ (* -3/4 (* (pow a 2) c)) (* 3/8 (* (pow a 2) c))) (pow b 4))) (+ (* -1/2 (/ a (pow b 2))) (* 2/3 (/ 1 c)))))
(* b (- (* -1 (/ (+ (* -3/4 (* a (* c (+ (* -3/4 (* (pow a 2) c)) (* 3/8 (* (pow a 2) c)))))) (+ (* -2/9 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow c 2)))) (* 9/16 (* (pow a 3) (pow c 2))))) (pow b 6))) (+ (* -3/4 (/ (* (pow a 2) c) (pow b 4))) (+ (* -1/2 (/ a (pow b 2))) (+ (* 3/8 (/ (* (pow a 2) c) (pow b 4))) (* 2/3 (/ 1 c)))))))
(* -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)
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)))))))
(* -3/2 (* a c))
(+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))
(+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))
(+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))
(* -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)
(* -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)
(* -3/2 (/ (* a c) b))
(/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(* -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)
(* -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)
(sqrt b)
(+ (sqrt b) (* -3/4 (* (* a c) (sqrt (/ 1 (pow b 3))))))
(+ (sqrt b) (+ (* -3/4 (* (* a c) (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 (pow b 7))) (+ (* -9/8 (* (pow a 2) (pow c 2))) (* 9/32 (* (pow a 2) (pow c 2)))))))
(+ (sqrt b) (+ (* -3/4 (* (* a c) (sqrt (/ 1 (pow b 3))))) (+ (* (sqrt (/ 1 (pow b 7))) (+ (* -9/8 (* (pow a 2) (pow c 2))) (* 9/32 (* (pow a 2) (pow c 2))))) (* (sqrt (/ 1 (pow b 11))) (+ (* -9/4 (* (pow a 3) (pow c 3))) (+ (* -9/128 (* (pow a 3) (pow c 3))) (* 27/32 (* (pow a 3) (pow c 3)))))))))
(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)))))
(* 2 (/ b c))
(* b (+ (* -3/2 (/ a (pow b 2))) (* 2 (/ 1 c))))
(* b (+ (* -3/2 (/ a (pow b 2))) (+ (* 3 (/ (+ (* -3/4 (* (pow a 2) c)) (* 3/8 (* (pow a 2) c))) (pow b 4))) (* 2 (/ 1 c)))))
(* b (+ (* -3/2 (/ a (pow b 2))) (+ (* 3 (/ (+ (* -3/4 (* a (* c (+ (* -3/4 (* (pow a 2) c)) (* 3/8 (* (pow a 2) c)))))) (+ (* -2/9 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow c 2)))) (* 9/16 (* (pow a 3) (pow c 2))))) (pow b 6))) (+ (* 3 (/ (+ (* -3/4 (* (pow a 2) c)) (* 3/8 (* (pow a 2) c))) (pow b 4))) (* 2 (/ 1 c))))))
(/ (pow a 2) (pow b 3))
(/ (pow a 2) (pow b 3))
(/ (pow a 2) (pow b 3))
(/ (pow a 2) (pow b 3))
(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) c)
(/ (pow b 2) c)
(/ (pow b 2) c)
(/ (pow b 2) c)
(/ (pow b 2) c)
(* (pow b 2) (+ (* -3 (/ a (pow b 2))) (/ 1 c)))
(* (pow b 2) (+ (* -3 (/ a (pow b 2))) (/ 1 c)))
(* (pow b 2) (+ (* -3 (/ a (pow b 2))) (/ 1 c)))
(* -3/8 (/ (pow a 3) (pow b 3)))
(* -3/8 (/ (pow a 3) (pow b 3)))
(* -3/8 (/ (pow a 3) (pow b 3)))
(* -3/8 (/ (pow a 3) (pow b 3)))
(* -1 (/ (+ (* -9/16 (pow a 3)) (+ (* -9/32 (pow a 3)) (* 45/32 (pow a 3)))) (pow b 5)))
(* -1 (/ (+ (* -9/16 (pow a 3)) (+ (* -9/32 (pow a 3)) (* 45/32 (pow a 3)))) (pow b 5)))
(* -1 (/ (+ (* -9/16 (pow a 3)) (+ (* -9/32 (pow a 3)) (* 45/32 (pow a 3)))) (pow b 5)))
(* -1 (/ (+ (* -9/16 (pow a 3)) (+ (* -9/32 (pow a 3)) (* 45/32 (pow a 3)))) (pow b 5)))
(* -1 (/ (+ (* -9/16 (pow a 3)) (* 45/32 (pow a 3))) (pow b 5)))
(* -1 (/ (+ (* -9/16 (pow a 3)) (* 45/32 (pow a 3))) (pow b 5)))
(* -1 (/ (+ (* -9/16 (pow a 3)) (* 45/32 (pow a 3))) (pow b 5)))
(* -1 (/ (+ (* -9/16 (pow a 3)) (* 45/32 (pow a 3))) (pow b 5)))
(* -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)))))))
(* -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))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(/ -1/2 b)
(/ -1/2 b)
(/ -1/2 b)
(/ -1/2 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 (/ a b))
(* -1 (/ (+ (* 3/8 (/ (* (pow a 2) c) (pow b 2))) (* 1/2 a)) b))
(* -1 (/ (- (+ (* 1/2 a) (* 9/16 (/ (* (pow a 3) (pow c 2)) (pow b 4)))) (* -3/8 (/ (* (pow a 2) c) (pow b 2)))) b))
(* -1 (/ (- (+ (* -1 (/ (+ (* -27/32 (* (pow a 4) (pow c 3))) (* -27/128 (* (pow a 4) (pow c 3)))) (pow b 6))) (* 1/2 a)) (+ (* -9/16 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* -3/8 (/ (* (pow a 2) c) (pow b 2))))) 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))))))))
(* -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))))))))
(* -3/2 (* a c))
(+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))
(+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))
(+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))
(* -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)))))))
(* -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))
(* -1 (/ (+ (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 3/2 (* a c))) b))
(* -1 (/ (+ (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 3/2 (* a c))) b))
(* -1 (/ (+ (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 3/2 (* a c))) 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))))))))
(* -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)))))))
(* (sqrt b) (sqrt -1))
(+ (* -3/4 (* (* a (* c (sqrt -1))) (sqrt (/ 1 (pow b 3))))) (* (sqrt b) (sqrt -1)))
(+ (* -3/4 (* (* a (* c (sqrt -1))) (sqrt (/ 1 (pow b 3))))) (+ (* (sqrt b) (sqrt -1)) (* (sqrt (/ 1 (pow b 7))) (* (sqrt -1) (+ (* -9/8 (* (pow a 2) (pow c 2))) (* 9/32 (* (pow a 2) (pow c 2))))))))
(+ (* -3/4 (* (* a (* c (sqrt -1))) (sqrt (/ 1 (pow b 3))))) (+ (* (sqrt b) (sqrt -1)) (+ (* (sqrt (/ 1 (pow b 7))) (* (sqrt -1) (+ (* -9/8 (* (pow a 2) (pow c 2))) (* 9/32 (* (pow a 2) (pow c 2)))))) (* (sqrt (/ 1 (pow b 11))) (* (sqrt -1) (+ (* -9/4 (* (pow a 3) (pow c 3))) (+ (* -9/128 (* (pow a 3) (pow c 3))) (* 27/32 (* (pow a 3) (pow c 3))))))))))
(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)))))
(* 3/2 (/ a b))
(* -1 (/ (+ (* -3/2 a) (* -9/8 (/ (* (pow a 2) c) (pow b 2)))) b))
(* -1 (/ (+ (* -27/16 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (+ (* -3/2 a) (* -9/8 (/ (* (pow a 2) c) (pow b 2))))) b))
(* -1 (/ (+ (* -27/16 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (+ (* -3/2 a) (+ (* -9/8 (/ (* (pow a 2) c) (pow b 2))) (* 3 (/ (+ (* -27/32 (* (pow a 4) (pow c 3))) (* -27/128 (* (pow a 4) (pow c 3)))) (pow b 6)))))) b))
(/ (pow a 2) (pow b 3))
(/ (pow a 2) (pow b 3))
(/ (pow a 2) (pow b 3))
(/ (pow a 2) (pow b 3))
(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) c)
(/ (pow b 2) c)
(/ (pow b 2) c)
(/ (pow b 2) c)
(/ (pow b 2) c)
(* (pow b 2) (+ (* -3 (/ a (pow b 2))) (/ 1 c)))
(* (pow b 2) (+ (* -3 (/ a (pow b 2))) (/ 1 c)))
(* (pow b 2) (+ (* -3 (/ a (pow b 2))) (/ 1 c)))
(* -3/8 (/ (pow a 3) (pow b 3)))
(* -3/8 (/ (pow a 3) (pow b 3)))
(* -3/8 (/ (pow a 3) (pow b 3)))
(* -3/8 (/ (pow a 3) (pow b 3)))
(* -9/16 (/ (pow a 3) (pow b 5)))
(* -9/16 (/ (pow a 3) (pow b 5)))
(* -9/16 (/ (pow a 3) (pow b 5)))
(* -9/16 (/ (pow a 3) (pow b 5)))
(* -27/32 (/ (pow a 3) (pow b 5)))
(* -27/32 (/ (pow a 3) (pow b 5)))
(* -27/32 (/ (pow a 3) (pow b 5)))
(* -27/32 (/ (pow a 3) (pow b 5)))
(* -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)))))))
(* -1/2 (/ 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)))))))
(* -1/2 (/ 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)))))))
(* -2/3 (/ b c))
(+ (* -2/3 (/ b c)) (* 1/2 (/ a b)))
(+ (* -2/3 (/ b c)) (* a (+ (* -1 (* a (+ (* -3/4 (/ c (pow b 3))) (* 3/8 (/ c (pow b 3)))))) (* 1/2 (/ 1 b)))))
(+ (* -2/3 (/ b c)) (* a (+ (* a (- (* -1 (* a (+ (* -3/4 (/ (* c (+ (* -3/4 (/ c (pow b 3))) (* 3/8 (/ c (pow b 3))))) (pow b 2))) (+ (* -2/9 (/ (* b (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) (pow c 2))) (* 9/16 (/ (pow c 2) (pow b 5))))))) (+ (* -3/4 (/ c (pow b 3))) (* 3/8 (/ c (pow b 3)))))) (* 1/2 (/ 1 b)))))
(* -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))))))))
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))))))))
(* -3/2 (* a c))
(* a (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2)))))
(* a (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2)))))
(* a (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2)))))
(* -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)))))))
(* -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))))))))
(* -3/2 (/ (* a c) b))
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))
(* -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))))))))
(* -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)))))))
(* (pow 1 1/4) (sqrt b))
(+ (* -3/4 (* (pow 1 1/4) (* (* a c) (sqrt (/ 1 (pow b 3)))))) (* (pow 1 1/4) (sqrt b)))
(+ (* a (+ (* -3/4 (* (pow 1 1/4) (* (sqrt (/ 1 (pow b 3))) c))) (* (pow 1 1/4) (* (* a (+ (* -9/8 (/ (pow c 2) (pow b 4))) (* 9/32 (/ (pow c 2) (pow b 4))))) (sqrt b))))) (* (pow 1 1/4) (sqrt b)))
(+ (* a (+ (* -3/4 (* (pow 1 1/4) (* (sqrt (/ 1 (pow b 3))) c))) (* a (+ (* (pow 1 1/4) (* (sqrt b) (+ (* -9/8 (/ (pow c 2) (pow b 4))) (* 9/32 (/ (pow c 2) (pow b 4)))))) (* (pow 1 1/4) (* (* a (+ (* -9/4 (/ (pow c 3) (pow b 6))) (+ (* -9/128 (/ (pow c 3) (pow b 6))) (* 27/32 (/ (pow c 3) (pow b 6)))))) (sqrt b))))))) (* (pow 1 1/4) (sqrt b)))
(pow b 2)
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(* 2 (/ b c))
(+ (* -3/2 (/ a b)) (* 2 (/ b c)))
(+ (* 2 (/ b c)) (* a (- (* 3 (* a (+ (* -3/4 (/ c (pow b 3))) (* 3/8 (/ c (pow b 3)))))) (* 3/2 (/ 1 b)))))
(+ (* 2 (/ b c)) (* a (- (* a (+ (* 3 (* a (+ (* -3/4 (/ (* c (+ (* -3/4 (/ c (pow b 3))) (* 3/8 (/ c (pow b 3))))) (pow b 2))) (+ (* -2/9 (/ (* b (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) (pow c 2))) (* 9/16 (/ (pow c 2) (pow b 5))))))) (* 3 (+ (* -3/4 (/ c (pow b 3))) (* 3/8 (/ c (pow b 3))))))) (* 3/2 (/ 1 b)))))
(/ (pow a 2) (pow b 3))
(/ (pow a 2) (pow b 3))
(/ (pow a 2) (pow b 3))
(/ (pow a 2) (pow b 3))
(pow b 2)
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(* -9/8 (pow a 2))
(* -9/8 (pow a 2))
(* -9/8 (pow a 2))
(* -9/8 (pow a 2))
(* -3/2 (* a c))
(* -3/2 (* a c))
(* -3/2 (* a c))
(* -3/2 (* a c))
(/ (pow b 2) c)
(+ (* -3 a) (/ (pow b 2) c))
(+ (* -3 a) (/ (pow b 2) c))
(+ (* -3 a) (/ (pow b 2) c))
(* -3/8 (/ (pow a 3) (pow b 3)))
(* -3/8 (/ (pow a 3) (pow b 3)))
(* -3/8 (/ (pow a 3) (pow b 3)))
(* -3/8 (/ (pow a 3) (pow b 3)))
(* -9/16 (/ (pow a 3) (pow b 5)))
(* -9/16 (/ (pow a 3) (pow b 5)))
(* -9/16 (/ (pow a 3) (pow b 5)))
(* -9/16 (/ (pow a 3) (pow b 5)))
(* -27/32 (/ (pow a 3) (pow b 5)))
(* -27/32 (/ (pow a 3) (pow b 5)))
(* -27/32 (/ (pow a 3) (pow b 5)))
(* -27/32 (/ (pow a 3) (pow b 5)))
(* 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 -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 -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))))))
(* (sqrt (/ a c)) (/ 1 (sqrt -3)))
(+ (* (sqrt (/ a c)) (/ 1 (sqrt -3))) (/ b (* c (pow (sqrt -3) 2))))
(- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3))))) (pow a 2))) (* (sqrt (/ a c)) (/ 1 (sqrt -3)))) (* -1 (/ b (* c (pow (sqrt -3) 2)))))
(- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow a 2) (pow b 3)) (* (pow c 2) (pow (sqrt -3) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3)))) (pow a 3))) (* (sqrt (/ a c)) (/ 1 (sqrt -3)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* -1 (/ b (* c (pow (sqrt -3) 2)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))))))
(* (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)))
(* (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))))))
(* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))
(* (pow a 2) (+ (* -3/2 (/ c a)) (* -9/8 (/ (pow c 2) (pow b 2)))))
(* (pow a 2) (+ (* -3/2 (/ c a)) (* -9/8 (/ (pow c 2) (pow b 2)))))
(* (pow a 2) (+ (* -3/2 (/ c a)) (* -9/8 (/ (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 (/ 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))))))
(* (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)))
(* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 3)))
(* (pow a 2) (+ (* -3/2 (/ c (* a b))) (* -9/8 (/ (pow c 2) (pow b 3)))))
(* (pow a 2) (+ (* -3/2 (/ c (* a b))) (* -9/8 (/ (pow c 2) (pow b 3)))))
(* (pow a 2) (+ (* -3/2 (/ c (* a b))) (* -9/8 (/ (pow c 2) (pow b 3)))))
(* (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)))
(* 1/3 (* (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))))))
(exp (* 1/4 (+ (log (* -3 c)) (* -1 (log (/ 1 a))))))
(+ (exp (* 1/4 (+ (log (* -3 c)) (* -1 (log (/ 1 a)))))) (* -1/12 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* -3 c)) (* -1 (log (/ 1 a))))))) (* a c))))
(+ (exp (* 1/4 (+ (log (* -3 c)) (* -1 (log (/ 1 a)))))) (+ (* -1/12 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* -3 c)) (* -1 (log (/ 1 a))))))) (* a c))) (/ (* (exp (* 1/4 (+ (log (* -3 c)) (* -1 (log (/ 1 a)))))) (+ (* -1/72 (/ (pow b 4) (pow c 2))) (* 1/288 (/ (pow b 4) (pow c 2))))) (pow a 2))))
(+ (exp (* 1/4 (+ (log (* -3 c)) (* -1 (log (/ 1 a)))))) (+ (* -1/12 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* -3 c)) (* -1 (log (/ 1 a))))))) (* a c))) (+ (/ (* (exp (* 1/4 (+ (log (* -3 c)) (* -1 (log (/ 1 a)))))) (+ (* -1/72 (/ (pow b 4) (pow c 2))) (* 1/288 (/ (pow b 4) (pow c 2))))) (pow a 2)) (/ (* (exp (* 1/4 (+ (log (* -3 c)) (* -1 (log (/ 1 a)))))) (+ (* -1/324 (/ (pow b 6) (pow c 3))) (+ (* -1/10368 (/ (pow b 6) (pow c 3))) (* 1/864 (/ (pow b 6) (pow c 3)))))) (pow a 3)))))
(* -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 (* (sqrt (/ a c)) (/ 1 (sqrt -3))))
(+ (* -3 (* (sqrt (/ a c)) (/ 1 (sqrt -3)))) (* -3 (/ b (* c (pow (sqrt -3) 2)))))
(- (+ (* -3 (* (sqrt (/ a c)) (/ 1 (sqrt -3)))) (* -1 (/ (+ (* -3/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 3 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3))))) (pow a 2)))) (* 3 (/ b (* c (pow (sqrt -3) 2)))))
(- (+ (* -3 (* (sqrt (/ a c)) (/ 1 (sqrt -3)))) (* -1 (/ (+ (* -3/2 (/ (* (pow a 2) (pow b 3)) (* (pow c 2) (pow (sqrt -3) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -3/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 3 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3)))) (pow a 3)))) (+ (* -3/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* 3 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 3 (/ b (* c (pow (sqrt -3) 2)))))))
(/ (pow a 2) (pow b 3))
(/ (pow a 2) (pow b 3))
(/ (pow a 2) (pow b 3))
(/ (pow a 2) (pow b 3))
(* -3 (* a c))
(* a (+ (* -3 c) (/ (pow b 2) a)))
(* a (+ (* -3 c) (/ (pow b 2) a)))
(* a (+ (* -3 c) (/ (pow b 2) a)))
(* -9/8 (pow a 2))
(* -9/8 (pow a 2))
(* -9/8 (pow a 2))
(* -9/8 (pow a 2))
(* -3/2 (* a c))
(* -3/2 (* a c))
(* -3/2 (* a c))
(* -3/2 (* a c))
(* -3 a)
(* a (- (/ (pow b 2) (* a c)) 3))
(* a (- (/ (pow b 2) (* a c)) 3))
(* a (- (/ (pow b 2) (* a c)) 3))
(* -3/8 (/ (pow a 3) (pow b 3)))
(* -3/8 (/ (pow a 3) (pow b 3)))
(* -3/8 (/ (pow a 3) (pow b 3)))
(* -3/8 (/ (pow a 3) (pow b 3)))
(* -9/16 (/ (pow a 3) (pow b 5)))
(* -9/16 (/ (pow a 3) (pow b 5)))
(* -9/16 (/ (pow a 3) (pow b 5)))
(* -9/16 (/ (pow a 3) (pow b 5)))
(* -27/32 (/ (pow a 3) (pow b 5)))
(* -27/32 (/ (pow a 3) (pow b 5)))
(* -27/32 (/ (pow a 3) (pow b 5)))
(* -27/32 (/ (pow a 3) (pow b 5)))
(* -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)))))
(* -1/3 (* (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)))))
(* -1/3 (* (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 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3))))
(+ (* -1 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ b (* c (pow (sqrt 3) 2)))))
(+ (* -1 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* -1 (/ (* a b) (* c (pow (sqrt 3) 2))))) a)))
(+ (* -1 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* a (pow b 3)) (* (pow c 2) (pow (sqrt 3) 4)))) (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) (sqrt 3)))) (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* -1 (/ (* a b) (* c (pow (sqrt 3) 2))))) 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))))))
(* -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))))))))
(* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))
(* (pow a 2) (+ (* -3/2 (/ c a)) (* -9/8 (/ (pow c 2) (pow b 2)))))
(* (pow a 2) (+ (* -3/2 (/ c a)) (* -9/8 (/ (pow c 2) (pow b 2)))))
(* (pow a 2) (+ (* -3/2 (/ c a)) (* -9/8 (/ (pow c 2) (pow b 2)))))
(* -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 (* (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))))))
(* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 3)))
(* (pow a 2) (+ (* -3/2 (/ c (* a b))) (* -9/8 (/ (pow c 2) (pow b 3)))))
(* (pow a 2) (+ (* -3/2 (/ c (* a b))) (* -9/8 (/ (pow c 2) (pow b 3)))))
(* (pow a 2) (+ (* -3/2 (/ c (* a b))) (* -9/8 (/ (pow c 2) (pow b 3)))))
(* -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))))))
(* -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)))))
(exp (* 1/4 (+ (log (* 3 c)) (* -1 (log (/ -1 a))))))
(+ (exp (* 1/4 (+ (log (* 3 c)) (* -1 (log (/ -1 a)))))) (* -1/12 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* 3 c)) (* -1 (log (/ -1 a))))))) (* a c))))
(+ (exp (* 1/4 (+ (log (* 3 c)) (* -1 (log (/ -1 a)))))) (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log (* 3 c)) (* -1 (log (/ -1 a)))))) (+ (* -1/72 (/ (pow b 4) (pow c 2))) (* 1/288 (/ (pow b 4) (pow c 2))))) a)) (* 1/12 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* 3 c)) (* -1 (log (/ -1 a))))))) c))) a)))
(+ (exp (* 1/4 (+ (log (* 3 c)) (* -1 (log (/ -1 a)))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log (* 3 c)) (* -1 (log (/ -1 a)))))) (+ (* -1/864 (/ (pow b 6) (pow c 3))) (+ (* 1/10368 (/ (pow b 6) (pow c 3))) (* 1/324 (/ (pow b 6) (pow c 3)))))) a)) (* (exp (* 1/4 (+ (log (* 3 c)) (* -1 (log (/ -1 a)))))) (+ (* -1/72 (/ (pow b 4) (pow c 2))) (* 1/288 (/ (pow b 4) (pow c 2)))))) a)) (* 1/12 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* 3 c)) (* -1 (log (/ -1 a))))))) c))) 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))))
(* 3 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3))))
(+ (* 3 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3)))) (* 3 (/ b (* c (pow (sqrt 3) 2)))))
(+ (* -1 (/ (- (+ (* -3 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3/2 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) (* 3 (/ (* a b) (* c (pow (sqrt 3) 2))))) a)) (* 3 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3)))))
(+ (* -1 (/ (- (* -1 (/ (- (+ (* 3/2 (/ (* a (pow b 3)) (* (pow c 2) (pow (sqrt 3) 4)))) (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (+ (* -3 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (+ (* -3 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) a)) (* 3 (/ (* a b) (* c (pow (sqrt 3) 2))))) a)) (* 3 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3)))))
(/ (pow a 2) (pow b 3))
(/ (pow a 2) (pow b 3))
(/ (pow a 2) (pow b 3))
(/ (pow a 2) (pow b 3))
(* -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))))
(* -9/8 (pow a 2))
(* -9/8 (pow a 2))
(* -9/8 (pow a 2))
(* -9/8 (pow a 2))
(* -3/2 (* a c))
(* -3/2 (* a c))
(* -3/2 (* a c))
(* -3/2 (* a c))
(* -3 a)
(* -1 (* a (+ 3 (* -1 (/ (pow b 2) (* a c))))))
(* -1 (* a (+ 3 (* -1 (/ (pow b 2) (* a c))))))
(* -1 (* a (+ 3 (* -1 (/ (pow b 2) (* a c))))))
Outputs
(* -1/2 (/ c b))
(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(*.f64 (fma.f64 (*.f64 a (/.f64 c (pow.f64 b #s(literal 3 binary64)))) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) b)) c)
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(*.f64 (fma.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 #s(literal -1/2 binary64) b)) c)
(* 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 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/6 binary64) b) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) c) a) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)
(* -1/2 (/ c b))
(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(*.f64 (fma.f64 (*.f64 a (/.f64 c (pow.f64 b #s(literal 3 binary64)))) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) b)) c)
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(fma.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 (/.f64 a c))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 a (pow.f64 c #s(literal 3 binary64)))) (*.f64 (/.f64 (*.f64 b b) #s(literal 3 binary64)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))))) #s(literal -3/2 binary64) (neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 a b) c)))) (neg.f64 a)))
(+ (* -1 (/ (- (* -1 (/ (- (+ (* 3/2 (/ (* a (pow b 3)) (* (pow c 2) (pow (sqrt 3) 4)))) (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (+ (* -3 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (+ (* -3 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) a)) (* 3 (/ (* a b) (* c (pow (sqrt 3) 2))))) a)) (* 3 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3)))))
(fma.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 (/.f64 a c))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal 3/2 binary64) (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 4 binary64))) (*.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) c) (/.f64 a c)) (fma.f64 (/.f64 (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64)))) (*.f64 (/.f64 (*.f64 b b) #s(literal 3 binary64)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))))) #s(literal -3/2 binary64))) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 (*.f64 (sqrt.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64)))) (*.f64 (/.f64 (*.f64 b b) #s(literal 3 binary64)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))))) #s(literal 3/2 binary64)))) (neg.f64 a)) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 a b) c))) (neg.f64 a)))
(/ (pow a 2) (pow b 3))
(/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64)))
(/ (pow a 2) (pow b 3))
(/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64)))
(/ (pow a 2) (pow b 3))
(/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64)))
(/ (pow a 2) (pow b 3))
(/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64)))
(* -3 (* a c))
(*.f64 #s(literal -3 binary64) (*.f64 a c))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))
(*.f64 (neg.f64 a) (neg.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))
(*.f64 (neg.f64 a) (neg.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))
(*.f64 (neg.f64 a) (neg.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a))))
(* -9/8 (pow a 2))
(*.f64 #s(literal -9/8 binary64) (*.f64 a a))
(* -9/8 (pow a 2))
(*.f64 #s(literal -9/8 binary64) (*.f64 a a))
(* -9/8 (pow a 2))
(*.f64 #s(literal -9/8 binary64) (*.f64 a a))
(* -9/8 (pow a 2))
(*.f64 #s(literal -9/8 binary64) (*.f64 a a))
(* -3/2 (* a c))
(*.f64 #s(literal -3/2 binary64) (*.f64 a c))
(* -3/2 (* a c))
(*.f64 #s(literal -3/2 binary64) (*.f64 a c))
(* -3/2 (* a c))
(*.f64 #s(literal -3/2 binary64) (*.f64 a c))
(* -3/2 (* a c))
(*.f64 #s(literal -3/2 binary64) (*.f64 a c))
(* -3 a)
(*.f64 #s(literal -3 binary64) a)
(* -1 (* a (+ 3 (* -1 (/ (pow b 2) (* a c))))))
(*.f64 (neg.f64 a) (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 (*.f64 b b) a) c)))
(* -1 (* a (+ 3 (* -1 (/ (pow b 2) (* a c))))))
(*.f64 (neg.f64 a) (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 (*.f64 b b) a) c)))
(* -1 (* a (+ 3 (* -1 (/ (pow b 2) (* a c))))))
(*.f64 (neg.f64 a) (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 (*.f64 b b) a) c)))

rewrite186.0ms (1.7%)

Memory
17.4MiB live, 291.9MiB allocated
Rules
5 358×lower-*.f32
5 320×lower-*.f64
4 616×lower-fma.f32
4 598×lower-fma.f64
2 736×lower-pow.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
095617
0159571
1574549
24411545
08280541
Stop Event
iter limit
node limit
iter limit
Counts
26 → 615
Calls
Call 1
Inputs
(*.f64 (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) a)
(fma.f64 (/.f64 #s(literal -3/4 binary64) b) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) a) b) (fma.f64 (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) a)) #s(literal -2/9 binary64) (/.f64 (*.f64 #s(literal 9/16 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))))
(fma.f64 (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) a)) #s(literal -2/9 binary64) (/.f64 (*.f64 #s(literal 9/16 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64))))
(/.f64 #s(literal -1 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (* -3 a)) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (fma.f64 (fma.f64 (/.f64 #s(literal -3/4 binary64) b) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) a) b) (fma.f64 (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) a)) #s(literal -2/9 binary64) (/.f64 (*.f64 #s(literal 9/16 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64))))) c (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c (*.f64 b #s(literal 2 binary64))) c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b)))
(*.f64 c (/.f64 #s(literal -1/2 binary64) b))
(/.f64 #s(literal -1/2 binary64) b)
(/.f64 #s(literal 1/3 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
(/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))
(fma.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 c c) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64)))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 c c) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b)) (*.f64 #s(literal 3 binary64) a))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 c c) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b))
(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 c c) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b)
(fma.f64 (pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 (/.f64 b c) b)) c)) #s(literal 1/4 binary64)) (pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 (/.f64 b c) b)) c)) #s(literal 1/4 binary64)) (neg.f64 b))
(/.f64 (fma.f64 (pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 (/.f64 b c) b)) c)) #s(literal 1/4 binary64)) (pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 (/.f64 b c) b)) c)) #s(literal 1/4 binary64)) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a))
(pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 (/.f64 b c) b)) c)) #s(literal 1/4 binary64))
#s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 (/.f64 b c) b)) c))
#s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (* -3 a)) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (fma.f64 (fma.f64 (/.f64 #s(literal -3/4 binary64) b) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) a) b) (fma.f64 (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) a)) #s(literal -2/9 binary64) (/.f64 (*.f64 #s(literal 9/16 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64))))) c (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c (*.f64 b #s(literal 2 binary64))) c))
(/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64)))
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))
(*.f64 (*.f64 a a) #s(literal -9/8 binary64))
(*.f64 (*.f64 c a) #s(literal -3/2 binary64))
(*.f64 (/.f64 b c) b)
(fma.f64 #s(literal -3 binary64) a (*.f64 (/.f64 b c) b))
Outputs
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eval367.0ms (3.3%)

Memory
-9.1MiB live, 705.0MiB allocated
Compiler

Compiled 67 482 to 5 894 computations (91.3% saved)

prune331.0ms (3%)

Memory
-33.3MiB live, 632.0MiB allocated
Pruning

85 alts after pruning (82 fresh and 3 done)

PrunedKeptTotal
New1 649411 690
Fresh224163
Picked325
Done011
Total1 674851 759
Accuracy
99.3%
Counts
1 759 → 85
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.5%
(fma.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (neg.f64 b)))
52.5%
(/.f64 (fma.f64 (pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 (/.f64 b c) b (*.f64 #s(literal -3 binary64) a)) c)) #s(literal 3/8 binary64)) (pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 (/.f64 b c) b (*.f64 #s(literal -3 binary64) a)) c)) #s(literal 1/8 binary64)) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a))
52.2%
(/.f64 (fma.f64 (pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (/.f64 #s(literal 1 binary64) (/.f64 c (*.f64 b b)))) c)) #s(literal 1/4 binary64)) (pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 (/.f64 b c) b)) c)) #s(literal 1/4 binary64)) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a))
52.7%
(/.f64 (/.f64 (-.f64 (pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 (/.f64 b c) b (*.f64 #s(literal -3 binary64) a)) c)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (+.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 (/.f64 b c) b (*.f64 #s(literal -3 binary64) a)) c)) (fma.f64 b b (*.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 (/.f64 b c) b (*.f64 #s(literal -3 binary64) a)) c))) b)))) (*.f64 #s(literal 3 binary64) a))
51.5%
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a))
51.0%
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) b) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 b b))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b)) (*.f64 #s(literal 3 binary64) a))
52.4%
(/.f64 (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 (/.f64 b c) b)) c))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 (/.f64 b c) b)) c))))) (*.f64 #s(literal 3 binary64) a))
52.6%
(/.f64 (/.f64 (-.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 (/.f64 b c) b (*.f64 #s(literal -3 binary64) a)) c)) (*.f64 b b)) (+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 (/.f64 b c) b (*.f64 #s(literal -3 binary64) a)) c))) b)) (*.f64 #s(literal 3 binary64) a))
52.6%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 (/.f64 b c) b (*.f64 #s(literal -3 binary64) a)) c))) (neg.f64 b)) (-.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 (/.f64 b c) b (*.f64 #s(literal -3 binary64) a)) c)) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))
51.8%
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) b))) a)
53.2%
(/.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal 3 binary64) a) (fma.f64 b b (+.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) b)))))
52.1%
(/.f64 (-.f64 (/.f64 (*.f64 b b) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 (/.f64 b c) b)) c))))) (/.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 (/.f64 b c) b)) c)) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 (/.f64 b c) b)) c)))))) (*.f64 #s(literal 3 binary64) a))
53.4%
(/.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) (*.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))))))
51.8%
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) b) (*.f64 #s(literal 3 binary64) a))
52.0%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
51.8%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 (*.f64 (/.f64 b c) b) c))))) (*.f64 #s(literal 3 binary64) a))
51.8%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (*.f64 b (/.f64 b a))) a)))) (*.f64 #s(literal 3 binary64) a))
53.4%
(/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b))
53.2%
(/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))))
51.8%
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) b) #s(literal 1/3 binary64)) a)
51.6%
(/.f64 (*.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 (/.f64 b c) b)) c))) b) #s(literal 1/3 binary64)) a)
53.4%
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) (*.f64 b b))) (*.f64 a (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b)))
53.2%
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) (*.f64 a (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))))
66.4%
(/.f64 #s(approx (+ (* (pow (- (* b b) (* (* 3 a) c)) 1/4) (pow (- (* b b) (* (* 3 a) c)) 1/4)) (neg b)) (*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)))) (*.f64 #s(literal 3 binary64) a))
66.3%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 #s(approx (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) (*.f64 #s(literal -3/2 binary64) (*.f64 a c))) b)) (*.f64 #s(literal 3 binary64) a))
66.4%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 c b) #s(literal -3/2 binary64)) a)) (*.f64 #s(literal 3 binary64) a))
51.8%
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) b) #s(literal 1/3 binary64))))
51.8%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a)))
51.8%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b)) #s(literal 3 binary64)))
52.1%
(/.f64 #s(literal 1/3 binary64) (/.f64 a (fma.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) #s(literal 1/4 binary64)) (neg.f64 b))))
52.1%
(/.f64 #s(literal 1/3 binary64) (/.f64 a (fma.f64 (sqrt.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)) #s(literal 2 binary64)))) (pow.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (neg.f64 b))))
53.3%
(/.f64 #s(literal 1/3 binary64) (/.f64 a (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) (*.f64 b b)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b))))
53.2%
(/.f64 #s(literal 1/3 binary64) (/.f64 a (/.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))))))
53.2%
(/.f64 #s(literal 1/3 binary64) (/.f64 a (/.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (fma.f64 b b (+.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b))))))
53.2%
(/.f64 #s(literal 1/3 binary64) (/.f64 a (/.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (+.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) (-.f64 (*.f64 b b) (*.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))))))))
53.4%
(/.f64 #s(literal 1/3 binary64) (/.f64 a (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b) (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) (*.f64 b b))))))
52.8%
(/.f64 #s(literal 1/3 binary64) (/.f64 a (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b)) (/.f64 (*.f64 b b) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b)))))
51.8%
(/.f64 #s(literal 1/3 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
53.2%
(/.f64 #s(literal 1/3 binary64) (/.f64 a (*.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (pow.f64 (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) #s(literal -1 binary64)))))
66.4%
(/.f64 #s(literal 1/3 binary64) (/.f64 a #s(approx (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b))))))
53.4%
(/.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 a (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b)))
53.2%
(/.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 a (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))))
91.7%
(/.f64 #s(literal 1/3 binary64) #s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (fma.f64 (fma.f64 (fma.f64 (neg.f64 a) (fma.f64 (/.f64 #s(literal -3/4 binary64) b) (/.f64 (*.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) c) b) (fma.f64 (/.f64 #s(literal -2/9 binary64) c) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) b) c) (/.f64 (*.f64 #s(literal 9/16 binary64) (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))))) (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) #s(literal 3/8 binary64))) a (/.f64 #s(literal 1/2 binary64) b)) a (*.f64 (/.f64 b c) #s(literal -2/3 binary64)))))
88.8%
(/.f64 #s(literal 1/3 binary64) #s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (fma.f64 (fma.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) #s(literal 3/8 binary64)) a (/.f64 #s(literal 1/2 binary64) b)) a (*.f64 (/.f64 b c) #s(literal -2/3 binary64)))))
83.0%
(/.f64 #s(literal 1/3 binary64) #s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (fma.f64 (/.f64 a b) #s(literal 1/2 binary64) (*.f64 (/.f64 b c) #s(literal -2/3 binary64)))))
88.9%
(/.f64 #s(literal 1/3 binary64) #s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (/.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 a a)) (pow.f64 b #s(literal 3 binary64))) c (*.f64 (/.f64 a b) #s(literal 1/2 binary64))) c (*.f64 #s(literal -2/3 binary64) b)) c)))
83.0%
(/.f64 #s(literal 1/3 binary64) #s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (/.f64 (fma.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64) (*.f64 #s(literal -2/3 binary64) b)) c)))
83.0%
(/.f64 #s(literal 1/3 binary64) #s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (*.f64 (fma.f64 (/.f64 a (*.f64 b b)) #s(literal 1/2 binary64) (/.f64 #s(literal -2/3 binary64) c)) b)))
66.4%
(/.f64 #s(literal 1/3 binary64) #s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (*.f64 (/.f64 b c) #s(literal -2/3 binary64))))
88.9%
(/.f64 #s(literal 1/3 binary64) #s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (*.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 a (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) c)))) b)))
52.1%
(/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (fma.f64 (sqrt.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c) #s(literal 2 binary64)))) (pow.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (neg.f64 b)) #s(literal -1 binary64)) (*.f64 #s(literal -3 binary64) a)))
53.4%
(/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)) (*.f64 b b)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) b)) #s(literal -1 binary64)) (*.f64 #s(literal -3 binary64) a)))
51.8%
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) b)) (*.f64 #s(literal -3 binary64) a)))
51.8%
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) b)) a))
88.7%
(/.f64 #s(literal -1 binary64) (*.f64 #s(approx (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (/.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) #s(literal 3/8 binary64)) a (/.f64 #s(literal 1/2 binary64) b)) a (*.f64 #s(literal -2/3 binary64) (/.f64 b c))) a)) (*.f64 #s(literal -3 binary64) a)))
82.9%
(/.f64 #s(literal -1 binary64) (*.f64 #s(approx (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (/.f64 (fma.f64 (/.f64 b a) #s(literal -2/3 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))) c)) (*.f64 #s(literal -3 binary64) a)))
66.3%
(/.f64 #s(literal -1 binary64) (*.f64 #s(approx (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (*.f64 (/.f64 b (*.f64 a c)) #s(literal -2/3 binary64))) (*.f64 #s(literal -3 binary64) a)))
82.8%
(/.f64 #s(literal -1 binary64) (*.f64 #s(approx (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) (*.f64 a c))) b)) (*.f64 #s(literal -3 binary64) a)))
91.5%
(/.f64 #s(literal -1 binary64) (*.f64 #s(approx (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 (fma.f64 (*.f64 #s(literal -3/4 binary64) a) (*.f64 (*.f64 (*.f64 a c) #s(literal -3/8 binary64)) c) (fma.f64 (*.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a)) (/.f64 #s(literal 405/64 binary64) (*.f64 c c))) #s(literal -2/9 binary64) (*.f64 (*.f64 #s(literal 9/16 binary64) (*.f64 a a)) (*.f64 c c)))) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (*.f64 a (/.f64 c (pow.f64 b #s(literal 4 binary64)))) #s(literal -3/4 binary64) (fma.f64 (*.f64 a (/.f64 c (pow.f64 b #s(literal 4 binary64)))) #s(literal 3/8 binary64) (/.f64 #s(literal 2/3 binary64) (*.f64 a c))))) b)) (*.f64 #s(literal -3 binary64) a)))
88.6%
(/.f64 #s(literal -1 binary64) (*.f64 #s(approx (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 (*.f64 (*.f64 a c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 4 binary64)))) (/.f64 #s(literal 2/3 binary64) (*.f64 a c))) b)) (*.f64 #s(literal -3 binary64) a)))
89.0%
(/.f64 #s(literal -1 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (* -3 a)) (fma.f64 (fma.f64 (*.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) a) #s(literal 3 binary64) (/.f64 #s(literal -3/2 binary64) b)) a (*.f64 (/.f64 b c) #s(literal 2 binary64)))))
91.9%
(/.f64 #s(literal -1 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (* -3 a)) (fma.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (fma.f64 (fma.f64 (/.f64 #s(literal -3/4 binary64) b) (/.f64 (*.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) c) b) (fma.f64 (/.f64 #s(literal -2/9 binary64) c) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) b) c) (/.f64 (*.f64 #s(literal 9/16 binary64) (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))))) a (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)))) a (/.f64 #s(literal -3/2 binary64) b)) a (*.f64 (/.f64 b c) #s(literal 2 binary64)))))
83.1%
(/.f64 #s(literal -1 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (* -3 a)) (fma.f64 (/.f64 b c) #s(literal 2 binary64) (*.f64 (/.f64 a b) #s(literal -3/2 binary64)))))
91.9%
(/.f64 #s(literal -1 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (* -3 a)) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (fma.f64 #s(approx (+ (* (/ -3/4 b) (/ (* (* (/ (* a a) (pow b 3)) -3/8) a) b)) (+ (* (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) a)) -2/9) (/ (* 9/16 (pow a 3)) (pow b 5)))) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c (*.f64 b #s(literal 2 binary64))) c)))
83.1%
(/.f64 #s(literal -1 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (* -3 a)) (/.f64 (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64) (*.f64 b #s(literal 2 binary64))) c)))
83.1%
(/.f64 #s(literal -1 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (* -3 a)) (*.f64 (fma.f64 (/.f64 a (*.f64 b b)) #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) c)) b)))
91.8%
(/.f64 #s(literal -1 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (* -3 a)) (*.f64 (fma.f64 (/.f64 #s(literal -3/2 binary64) b) (/.f64 a b) (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3/4 binary64) a) (*.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -3/8 binary64)) c) (fma.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (*.f64 c c)) #s(literal 9/16 binary64) (*.f64 (*.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (*.f64 c c)) (/.f64 #s(literal 405/64 binary64) a)) #s(literal -2/9 binary64)))) (pow.f64 b #s(literal 6 binary64))) #s(literal 3 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) c)))) b)))
88.9%
(/.f64 #s(literal -1 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (* -3 a)) (*.f64 (fma.f64 (/.f64 #s(literal -3/2 binary64) b) (/.f64 a b) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) c))) b)))
51.1%
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (/.f64 b (*.f64 a #s(literal 3 binary64))))
51.0%
(-.f64 (/.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 (/.f64 b c) b (*.f64 #s(literal -3 binary64) a)) c))) (*.f64 #s(literal 3 binary64) a)) (/.f64 b (*.f64 #s(literal 3 binary64) a)))
51.2%
(+.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (neg.f64 b)))
51.8%
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 1/3 binary64))
51.8%
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) b))
51.8%
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 (/.f64 b c) b (*.f64 #s(literal -3 binary64) a)) c))) b))
51.8%
(*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 1/3 binary64)))
91.6%
#s(approx (/ (+ (* (pow (- (* b b) (* (* 3 a) c)) 1/4) (pow (- (* b b) (* (* 3 a) c)) 1/4)) (neg b)) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) (*.f64 a a)) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (fma.f64 c #s(literal -1/2 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) a)) #s(literal -1/6 binary64) (*.f64 (/.f64 #s(literal -3/8 binary64) b) (/.f64 (*.f64 (*.f64 c c) a) b))))) b))
82.5%
#s(approx (/ (+ (* (pow (- (* b b) (* (* 3 a) c)) 1/4) (pow (- (* b b) (* (* 3 a) c)) 1/4)) (neg b)) (* 3 a)) (/.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (/.f64 (*.f64 (*.f64 c c) a) b) (*.f64 c #s(literal -1/2 binary64))) b))
91.5%
#s(approx (/ (+ (* (pow (- (* b b) (* (* 3 a) c)) 1/4) (pow (- (* b b) (* (* 3 a) c)) 1/4)) (neg b)) (* 3 a)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/6 binary64) b) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) c) a) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c))
11.4%
#s(approx (/ (+ (* (pow (- (* b b) (* (* 3 a) c)) 1/4) (pow (- (* b b) (* (* 3 a) c)) 1/4)) (neg b)) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))))
91.6%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) a) (pow.f64 c #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c))) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
88.4%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (/.f64 a b) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 4 binary64)))) c #s(literal -1/2 binary64)) c)) b))
82.5%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64)) c)) b))
66.5%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c)))
66.5%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
66.5%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b)))
Compiler

Compiled 4 641 to 2 996 computations (35.4% saved)

simplify136.0ms (1.2%)

Memory
-2.5MiB live, 197.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff704
(*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 (/.f64 b c) b)) c)
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 c (*.f64 b b)))
cost-diff704
(*.f64 (fma.f64 #s(literal -3 binary64) a (/.f64 #s(literal 1 binary64) (/.f64 c (*.f64 b b)))) c)
cost-diff13632
(fma.f64 (pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (/.f64 #s(literal 1 binary64) (/.f64 c (*.f64 b b)))) c)) #s(literal 1/4 binary64)) (pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 (/.f64 b c) b)) c)) #s(literal 1/4 binary64)) (neg.f64 b))
cost-diff0
(fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))
cost-diff0
(*.f64 (/.f64 a (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b))
cost-diff320
(/.f64 a (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) (*.f64 b b)))
cost-diff896
(-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) (*.f64 b b))
cost-diff0
(-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))
cost-diff0
(*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.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 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 1/3 binary64)))
cost-diff0
(/.f64 b c)
cost-diff0
(/.f64 #s(literal -1/2 binary64) (/.f64 b c))
cost-diff0
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c)))
cost-diff0
(fma.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (fma.f64 #s(approx (+ (* (/ -3/4 b) (/ (* (* (/ (* a a) (pow b 3)) -3/8) a) b)) (+ (* (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) a)) -2/9) (/ (* 9/16 (pow a 3)) (pow b 5)))) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c (*.f64 b #s(literal 2 binary64)))
cost-diff0
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (fma.f64 #s(approx (+ (* (/ -3/4 b) (/ (* (* (/ (* a a) (pow b 3)) -3/8) a) b)) (+ (* (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) a)) -2/9) (/ (* 9/16 (pow a 3)) (pow b 5)))) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c (*.f64 b #s(literal 2 binary64))) c)
cost-diff0
#s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (* -3 a)) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (fma.f64 #s(approx (+ (* (/ -3/4 b) (/ (* (* (/ (* a a) (pow b 3)) -3/8) a) b)) (+ (* (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) a)) -2/9) (/ (* 9/16 (pow a 3)) (pow b 5)))) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c (*.f64 b #s(literal 2 binary64))) c))
cost-diff0
(/.f64 #s(literal -1 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (* -3 a)) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (fma.f64 #s(approx (+ (* (/ -3/4 b) (/ (* (* (/ (* a a) (pow b 3)) -3/8) a) b)) (+ (* (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) a)) -2/9) (/ (* 9/16 (pow a 3)) (pow b 5)))) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c (*.f64 b #s(literal 2 binary64))) c)))
Rules
7 966×lower-fma.f32
7 952×lower-fma.f64
4 450×lower-*.f32
4 420×lower-*.f64
2 314×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01111166
01651168
12961132
26621056
31965984
45646976
08171960
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal -1 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (* -3 a)) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (fma.f64 #s(approx (+ (* (/ -3/4 b) (/ (* (* (/ (* a a) (pow b 3)) -3/8) a) b)) (+ (* (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) a)) -2/9) (/ (* 9/16 (pow a 3)) (pow b 5)))) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c (*.f64 b #s(literal 2 binary64))) c)))
#s(literal -1 binary64)
#s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (* -3 a)) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (fma.f64 #s(approx (+ (* (/ -3/4 b) (/ (* (* (/ (* a a) (pow b 3)) -3/8) a) b)) (+ (* (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) a)) -2/9) (/ (* 9/16 (pow a 3)) (pow b 5)))) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c (*.f64 b #s(literal 2 binary64))) c))
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (fma.f64 #s(approx (+ (* (/ -3/4 b) (/ (* (* (/ (* a a) (pow b 3)) -3/8) a) b)) (+ (* (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) a)) -2/9) (/ (* 9/16 (pow a 3)) (pow b 5)))) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c (*.f64 b #s(literal 2 binary64))) c)
(fma.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (fma.f64 #s(approx (+ (* (/ -3/4 b) (/ (* (* (/ (* a a) (pow b 3)) -3/8) a) b)) (+ (* (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) a)) -2/9) (/ (* 9/16 (pow a 3)) (pow b 5)))) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c (*.f64 b #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal 3 binary64) (fma.f64 #s(approx (+ (* (/ -3/4 b) (/ (* (* (/ (* a a) (pow b 3)) -3/8) a) b)) (+ (* (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) a)) -2/9) (/ (* 9/16 (pow a 3)) (pow b 5)))) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64)))
(*.f64 #s(literal 3 binary64) (fma.f64 #s(approx (+ (* (/ -3/4 b) (/ (* (* (/ (* a a) (pow b 3)) -3/8) a) b)) (+ (* (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) a)) -2/9) (/ (* 9/16 (pow a 3)) (pow b 5)))) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))))
#s(literal 3 binary64)
(fma.f64 #s(approx (+ (* (/ -3/4 b) (/ (* (* (/ (* a a) (pow b 3)) -3/8) a) b)) (+ (* (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) a)) -2/9) (/ (* 9/16 (pow a 3)) (pow b 5)))) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)))
#s(approx (+ (* (/ -3/4 b) (/ (* (* (/ (* a a) (pow b 3)) -3/8) a) b)) (+ (* (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) a)) -2/9) (/ (* 9/16 (pow a 3)) (pow b 5)))) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64))))
(/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))
(*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -9/16 binary64))
(pow.f64 a #s(literal 3 binary64))
a
#s(literal -9/16 binary64)
(pow.f64 b #s(literal 5 binary64))
b
#s(literal 5 binary64)
c
(*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))
(/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64)))
(*.f64 a a)
(pow.f64 b #s(literal 3 binary64))
#s(literal -3/8 binary64)
(*.f64 (/.f64 a b) #s(literal -3/2 binary64))
(/.f64 a b)
#s(literal -3/2 binary64)
(*.f64 b #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c)))
(/.f64 #s(literal -1/2 binary64) (/.f64 b c))
#s(literal -1/2 binary64)
(/.f64 b c)
b
c
(*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.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 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 1/3 binary64))
(-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))
b
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))
(*.f64 #s(literal -3 binary64) c)
#s(literal -3 binary64)
c
(*.f64 b b)
#s(literal 1/3 binary64)
(/.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 a (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b)))
#s(literal 1/3 binary64)
(*.f64 (/.f64 a (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b))
(/.f64 a (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) (*.f64 b b)))
a
(-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) (*.f64 b b))
(fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))
(*.f64 #s(literal -3 binary64) a)
#s(literal -3 binary64)
c
(*.f64 b b)
b
(+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b)
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))
(/.f64 (fma.f64 (pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (/.f64 #s(literal 1 binary64) (/.f64 c (*.f64 b b)))) c)) #s(literal 1/4 binary64)) (pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 (/.f64 b c) b)) c)) #s(literal 1/4 binary64)) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a))
(fma.f64 (pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (/.f64 #s(literal 1 binary64) (/.f64 c (*.f64 b b)))) c)) #s(literal 1/4 binary64)) (pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 (/.f64 b c) b)) c)) #s(literal 1/4 binary64)) (neg.f64 b))
(pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (/.f64 #s(literal 1 binary64) (/.f64 c (*.f64 b b)))) c)) #s(literal 1/4 binary64))
#s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (/.f64 #s(literal 1 binary64) (/.f64 c (*.f64 b b)))) c))
(*.f64 (fma.f64 #s(literal -3 binary64) a (/.f64 #s(literal 1 binary64) (/.f64 c (*.f64 b b)))) c)
(fma.f64 #s(literal -3 binary64) a (/.f64 #s(literal 1 binary64) (/.f64 c (*.f64 b b))))
#s(literal -3 binary64)
a
(/.f64 #s(literal 1 binary64) (/.f64 c (*.f64 b b)))
#s(literal 1 binary64)
(/.f64 c (*.f64 b b))
c
(*.f64 b b)
b
#s(literal 1/4 binary64)
(pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 (/.f64 b c) b)) c)) #s(literal 1/4 binary64))
#s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 (/.f64 b c) b)) c))
(*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 (/.f64 b c) b)) c)
(fma.f64 #s(literal -3 binary64) a (*.f64 (/.f64 b c) b))
(*.f64 (/.f64 b c) b)
(/.f64 b c)
(neg.f64 b)
(*.f64 #s(literal 3 binary64) a)
#s(literal 3 binary64)
Outputs
(/.f64 #s(literal -1 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (* -3 a)) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (fma.f64 #s(approx (+ (* (/ -3/4 b) (/ (* (* (/ (* a a) (pow b 3)) -3/8) a) b)) (+ (* (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) a)) -2/9) (/ (* 9/16 (pow a 3)) (pow b 5)))) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c (*.f64 b #s(literal 2 binary64))) c)))
(/.f64 #s(literal -1 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (* -3 a)) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 3 binary64) c) (fma.f64 #s(approx (+ (* (/ -3/4 b) (/ (* (* (/ (* a a) (pow b 3)) -3/8) a) b)) (+ (* (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) a)) -2/9) (/ (* 9/16 (pow a 3)) (pow b 5)))) (*.f64 (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 5 binary64))) (pow.f64 a #s(literal 3 binary64)))) c (*.f64 (/.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal 3 binary64))) (*.f64 a a))) (*.f64 #s(literal -3/2 binary64) (/.f64 a b))) c (*.f64 #s(literal 2 binary64) b)) c)))
#s(literal -1 binary64)
#s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (* -3 a)) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (fma.f64 #s(approx (+ (* (/ -3/4 b) (/ (* (* (/ (* a a) (pow b 3)) -3/8) a) b)) (+ (* (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) a)) -2/9) (/ (* 9/16 (pow a 3)) (pow b 5)))) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c (*.f64 b #s(literal 2 binary64))) c))
#s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (* -3 a)) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 3 binary64) c) (fma.f64 #s(approx (+ (* (/ -3/4 b) (/ (* (* (/ (* a a) (pow b 3)) -3/8) a) b)) (+ (* (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) a)) -2/9) (/ (* 9/16 (pow a 3)) (pow b 5)))) (*.f64 (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 5 binary64))) (pow.f64 a #s(literal 3 binary64)))) c (*.f64 (/.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal 3 binary64))) (*.f64 a a))) (*.f64 #s(literal -3/2 binary64) (/.f64 a b))) c (*.f64 #s(literal 2 binary64) b)) c))
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (fma.f64 #s(approx (+ (* (/ -3/4 b) (/ (* (* (/ (* a a) (pow b 3)) -3/8) a) b)) (+ (* (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) a)) -2/9) (/ (* 9/16 (pow a 3)) (pow b 5)))) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c (*.f64 b #s(literal 2 binary64))) c)
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 3 binary64) c) (fma.f64 #s(approx (+ (* (/ -3/4 b) (/ (* (* (/ (* a a) (pow b 3)) -3/8) a) b)) (+ (* (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) a)) -2/9) (/ (* 9/16 (pow a 3)) (pow b 5)))) (*.f64 (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 5 binary64))) (pow.f64 a #s(literal 3 binary64)))) c (*.f64 (/.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal 3 binary64))) (*.f64 a a))) (*.f64 #s(literal -3/2 binary64) (/.f64 a b))) c (*.f64 #s(literal 2 binary64) b)) c)
(fma.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (fma.f64 #s(approx (+ (* (/ -3/4 b) (/ (* (* (/ (* a a) (pow b 3)) -3/8) a) b)) (+ (* (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) a)) -2/9) (/ (* 9/16 (pow a 3)) (pow b 5)))) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c (*.f64 b #s(literal 2 binary64)))
(fma.f64 (fma.f64 (*.f64 #s(literal 3 binary64) c) (fma.f64 #s(approx (+ (* (/ -3/4 b) (/ (* (* (/ (* a a) (pow b 3)) -3/8) a) b)) (+ (* (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) a)) -2/9) (/ (* 9/16 (pow a 3)) (pow b 5)))) (*.f64 (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 5 binary64))) (pow.f64 a #s(literal 3 binary64)))) c (*.f64 (/.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal 3 binary64))) (*.f64 a a))) (*.f64 #s(literal -3/2 binary64) (/.f64 a b))) c (*.f64 #s(literal 2 binary64) b))
(fma.f64 (*.f64 #s(literal 3 binary64) (fma.f64 #s(approx (+ (* (/ -3/4 b) (/ (* (* (/ (* a a) (pow b 3)) -3/8) a) b)) (+ (* (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) a)) -2/9) (/ (* 9/16 (pow a 3)) (pow b 5)))) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64)))
(fma.f64 (*.f64 #s(literal 3 binary64) c) (fma.f64 #s(approx (+ (* (/ -3/4 b) (/ (* (* (/ (* a a) (pow b 3)) -3/8) a) b)) (+ (* (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) a)) -2/9) (/ (* 9/16 (pow a 3)) (pow b 5)))) (*.f64 (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 5 binary64))) (pow.f64 a #s(literal 3 binary64)))) c (*.f64 (/.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal 3 binary64))) (*.f64 a a))) (*.f64 #s(literal -3/2 binary64) (/.f64 a b)))
(*.f64 #s(literal 3 binary64) (fma.f64 #s(approx (+ (* (/ -3/4 b) (/ (* (* (/ (* a a) (pow b 3)) -3/8) a) b)) (+ (* (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) a)) -2/9) (/ (* 9/16 (pow a 3)) (pow b 5)))) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))))
(fma.f64 (*.f64 #s(literal 3 binary64) c) #s(approx (+ (* (/ -3/4 b) (/ (* (* (/ (* a a) (pow b 3)) -3/8) a) b)) (+ (* (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) a)) -2/9) (/ (* 9/16 (pow a 3)) (pow b 5)))) (*.f64 (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 5 binary64))) (pow.f64 a #s(literal 3 binary64)))) (*.f64 (/.f64 #s(literal -9/8 binary64) (pow.f64 b #s(literal 3 binary64))) (*.f64 a a)))
#s(literal 3 binary64)
(fma.f64 #s(approx (+ (* (/ -3/4 b) (/ (* (* (/ (* a a) (pow b 3)) -3/8) a) b)) (+ (* (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) a)) -2/9) (/ (* 9/16 (pow a 3)) (pow b 5)))) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)))
(fma.f64 #s(approx (+ (* (/ -3/4 b) (/ (* (* (/ (* a a) (pow b 3)) -3/8) a) b)) (+ (* (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) a)) -2/9) (/ (* 9/16 (pow a 3)) (pow b 5)))) (*.f64 (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 5 binary64))) (pow.f64 a #s(literal 3 binary64)))) c (*.f64 (/.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal 3 binary64))) (*.f64 a a)))
#s(approx (+ (* (/ -3/4 b) (/ (* (* (/ (* a a) (pow b 3)) -3/8) a) b)) (+ (* (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) a)) -2/9) (/ (* 9/16 (pow a 3)) (pow b 5)))) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64))))
#s(approx (+ (* (/ -3/4 b) (/ (* (* (/ (* a a) (pow b 3)) -3/8) a) b)) (+ (* (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) a)) -2/9) (/ (* 9/16 (pow a 3)) (pow b 5)))) (*.f64 (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 5 binary64))) (pow.f64 a #s(literal 3 binary64))))
(/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))
(*.f64 (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 5 binary64))) (pow.f64 a #s(literal 3 binary64)))
(*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -9/16 binary64))
(*.f64 #s(literal -9/16 binary64) (pow.f64 a #s(literal 3 binary64)))
(pow.f64 a #s(literal 3 binary64))
a
#s(literal -9/16 binary64)
(pow.f64 b #s(literal 5 binary64))
b
#s(literal 5 binary64)
c
(*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))
(*.f64 (/.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal 3 binary64))) (*.f64 a a))
(/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64)))
(*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) a)
(*.f64 a a)
(pow.f64 b #s(literal 3 binary64))
#s(literal -3/8 binary64)
(*.f64 (/.f64 a b) #s(literal -3/2 binary64))
(*.f64 #s(literal -3/2 binary64) (/.f64 a b))
(/.f64 a b)
#s(literal -3/2 binary64)
(*.f64 b #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) b)
#s(literal 2 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c)))
(/.f64 #s(literal -1/2 binary64) (/.f64 b c))
#s(literal -1/2 binary64)
(/.f64 b c)
b
c
(*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 1/3 binary64)))
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) b))
(/.f64 #s(literal -1 binary64) a)
#s(literal -1 binary64)
a
(*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))))
(-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))
(-.f64 b (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))))
b
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))
(sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))
(fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))
(*.f64 #s(literal -3 binary64) c)
(*.f64 c #s(literal -3 binary64))
#s(literal -3 binary64)
c
(*.f64 b b)
#s(literal 1/3 binary64)
(/.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 a (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b)))
(/.f64 (/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 c #s(literal -3 binary64)))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) b))
#s(literal 1/3 binary64)
(*.f64 (/.f64 a (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b))
(*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) b) (/.f64 #s(literal 1 binary64) (*.f64 c #s(literal -3 binary64))))
(/.f64 a (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) (*.f64 b b)))
(/.f64 #s(literal 1 binary64) (*.f64 c #s(literal -3 binary64)))
a
(-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) (*.f64 b b))
(*.f64 (*.f64 a #s(literal -3 binary64)) c)
(fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))
(fma.f64 (*.f64 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)
c
(*.f64 b b)
b
(+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b)
(+.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) b)
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))
(sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))
(/.f64 (fma.f64 (pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (/.f64 #s(literal 1 binary64) (/.f64 c (*.f64 b b)))) c)) #s(literal 1/4 binary64)) (pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 (/.f64 b c) b)) c)) #s(literal 1/4 binary64)) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (-.f64 b (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))))) (*.f64 a #s(literal -3 binary64)))
(fma.f64 (pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (/.f64 #s(literal 1 binary64) (/.f64 c (*.f64 b b)))) c)) #s(literal 1/4 binary64)) (pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 (/.f64 b c) b)) c)) #s(literal 1/4 binary64)) (neg.f64 b))
(-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) b)
(pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (/.f64 #s(literal 1 binary64) (/.f64 c (*.f64 b b)))) c)) #s(literal 1/4 binary64))
(pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) #s(literal 1/4 binary64))
#s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (/.f64 #s(literal 1 binary64) (/.f64 c (*.f64 b b)))) c))
#s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))
(*.f64 (fma.f64 #s(literal -3 binary64) a (/.f64 #s(literal 1 binary64) (/.f64 c (*.f64 b b)))) c)
(fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))
(fma.f64 #s(literal -3 binary64) a (/.f64 #s(literal 1 binary64) (/.f64 c (*.f64 b b))))
(fma.f64 (/.f64 b c) b (*.f64 a #s(literal -3 binary64)))
#s(literal -3 binary64)
a
(/.f64 #s(literal 1 binary64) (/.f64 c (*.f64 b b)))
(*.f64 (/.f64 b c) b)
#s(literal 1 binary64)
(/.f64 c (*.f64 b b))
c
(*.f64 b b)
b
#s(literal 1/4 binary64)
(pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 (/.f64 b c) b)) c)) #s(literal 1/4 binary64))
(pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) #s(literal 1/4 binary64))
#s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 (/.f64 b c) b)) c))
#s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))
(*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 (/.f64 b c) b)) c)
(fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))
(fma.f64 #s(literal -3 binary64) a (*.f64 (/.f64 b c) b))
(fma.f64 (/.f64 b c) b (*.f64 a #s(literal -3 binary64)))
(*.f64 (/.f64 b c) b)
(/.f64 b c)
(neg.f64 b)
(*.f64 #s(literal 3 binary64) a)
#s(literal 3 binary64)

localize430.0ms (3.8%)

Memory
39.1MiB live, 660.7MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.2656029431127299
(fma.f64 #s(literal -3 binary64) a (*.f64 (/.f64 b c) b))
accuracy0.28125
(*.f64 (/.f64 b c) b)
accuracy0.34994125976844204
(/.f64 (fma.f64 (pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (/.f64 #s(literal 1 binary64) (/.f64 c (*.f64 b b)))) c)) #s(literal 1/4 binary64)) (pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 (/.f64 b c) b)) c)) #s(literal 1/4 binary64)) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a))
accuracy30.572392843535653
(fma.f64 (pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (/.f64 #s(literal 1 binary64) (/.f64 c (*.f64 b b)))) c)) #s(literal 1/4 binary64)) (pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 (/.f64 b c) b)) c)) #s(literal 1/4 binary64)) (neg.f64 b))
accuracy0.25228500976844204
(*.f64 (/.f64 a (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b))
accuracy0.2609913327781916
(fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))
accuracy0.375
(/.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 a (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b)))
accuracy29.951088255527498
(-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) (*.f64 b b))
accuracy0.26060252155338326
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))
accuracy0.30078125
(*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 1/3 binary64)))
accuracy0.3671875
(*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 1/3 binary64))
accuracy30.687309064258702
(-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))
accuracy0
(/.f64 b c)
accuracy0.31640625
(/.f64 #s(literal -1/2 binary64) (/.f64 b c))
accuracy21.408884875225972
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c)))
accuracy0.30078125
(*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))
accuracy0.3203125
(/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))
accuracy0.37728500976844204
(/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64)))
accuracy4.9371332766640075
#s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (* -3 a)) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (fma.f64 #s(approx (+ (* (/ -3/4 b) (/ (* (* (/ (* a a) (pow b 3)) -3/8) a) b)) (+ (* (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) a)) -2/9) (/ (* 9/16 (pow a 3)) (pow b 5)))) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c (*.f64 b #s(literal 2 binary64))) c))
Samples
184.0ms94×1valid
112.0ms162×0valid
Compiler

Compiled 876 to 99 computations (88.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 241.0ms
ival-div: 71.0ms (29.5% of total)
ival-pow: 57.0ms (23.7% of total)
ival-mult: 52.0ms (21.6% of total)
ival-add: 18.0ms (7.5% of total)
adjust: 14.0ms (5.8% of total)
ival-sub: 11.0ms (4.6% of total)
const: 9.0ms (3.7% of total)
ival-sqrt: 7.0ms (2.9% of total)
exact: 2.0ms (0.8% of total)
ival-neg: 1.0ms (0.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series121.0ms (1.1%)

Memory
-15.5MiB live, 262.9MiB allocated
Counts
27 → 864
Calls
Call 1
Inputs
#s(alt (/.f64 #s(literal -1 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (* -3 a)) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (fma.f64 #s(approx (+ (* (/ -3/4 b) (/ (* (* (/ (* a a) (pow b 3)) -3/8) a) b)) (+ (* (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) a)) -2/9) (/ (* 9/16 (pow a 3)) (pow b 5)))) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c (*.f64 b #s(literal 2 binary64))) c))) (patch (/.f64 #s(literal -1 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (* -3 a)) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (fma.f64 #s(approx (+ (* (/ -3/4 b) (/ (* (* (/ (* a a) (pow b 3)) -3/8) a) b)) (+ (* (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) a)) -2/9) (/ (* 9/16 (pow a 3)) (pow b 5)))) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c (*.f64 b #s(literal 2 binary64))) c))) #<representation binary64>) () ())
#s(alt #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (* -3 a)) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (fma.f64 #s(approx (+ (* (/ -3/4 b) (/ (* (* (/ (* a a) (pow b 3)) -3/8) a) b)) (+ (* (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) a)) -2/9) (/ (* 9/16 (pow a 3)) (pow b 5)))) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c (*.f64 b #s(literal 2 binary64))) c)) (patch #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (* -3 a)) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (fma.f64 #s(approx (+ (* (/ -3/4 b) (/ (* (* (/ (* a a) (pow b 3)) -3/8) a) b)) (+ (* (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) a)) -2/9) (/ (* 9/16 (pow a 3)) (pow b 5)))) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c (*.f64 b #s(literal 2 binary64))) c)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (fma.f64 #s(approx (+ (* (/ -3/4 b) (/ (* (* (/ (* a a) (pow b 3)) -3/8) a) b)) (+ (* (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) a)) -2/9) (/ (* 9/16 (pow a 3)) (pow b 5)))) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c (*.f64 b #s(literal 2 binary64))) c) (patch (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (fma.f64 #s(approx (+ (* (/ -3/4 b) (/ (* (* (/ (* a a) (pow b 3)) -3/8) a) b)) (+ (* (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) a)) -2/9) (/ (* 9/16 (pow a 3)) (pow b 5)))) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c (*.f64 b #s(literal 2 binary64))) c) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (fma.f64 #s(approx (+ (* (/ -3/4 b) (/ (* (* (/ (* a a) (pow b 3)) -3/8) a) b)) (+ (* (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) a)) -2/9) (/ (* 9/16 (pow a 3)) (pow b 5)))) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c (*.f64 b #s(literal 2 binary64))) (patch (fma.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (fma.f64 #s(approx (+ (* (/ -3/4 b) (/ (* (* (/ (* a a) (pow b 3)) -3/8) a) b)) (+ (* (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) a)) -2/9) (/ (* 9/16 (pow a 3)) (pow b 5)))) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c (*.f64 b #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1/2 binary64) (/.f64 b c)) (patch (/.f64 #s(literal -1/2 binary64) (/.f64 b c)) #<representation binary64>) () ())
#s(alt (/.f64 b c) (patch (/.f64 b c) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 1/3 binary64))) (patch (*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.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 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 1/3 binary64)) (patch (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 1/3 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (patch (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #<representation binary64>) () ())
#s(alt (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) (*.f64 b b)) (patch (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) (*.f64 b b)) #<representation binary64>) () ())
#s(alt (/.f64 a (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) (*.f64 b b))) (patch (/.f64 a (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) (*.f64 b b))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 a (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b)) (patch (*.f64 (/.f64 a (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) (patch (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) #<representation binary64>) () ())
#s(alt (fma.f64 (pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (/.f64 #s(literal 1 binary64) (/.f64 c (*.f64 b b)))) c)) #s(literal 1/4 binary64)) (pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 (/.f64 b c) b)) c)) #s(literal 1/4 binary64)) (neg.f64 b)) (patch (fma.f64 (pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (/.f64 #s(literal 1 binary64) (/.f64 c (*.f64 b b)))) c)) #s(literal 1/4 binary64)) (pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 (/.f64 b c) b)) c)) #s(literal 1/4 binary64)) (neg.f64 b)) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 #s(literal -3 binary64) a (/.f64 #s(literal 1 binary64) (/.f64 c (*.f64 b b)))) c) (patch (*.f64 (fma.f64 #s(literal -3 binary64) a (/.f64 #s(literal 1 binary64) (/.f64 c (*.f64 b b)))) c) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 c (*.f64 b b))) (patch (/.f64 #s(literal 1 binary64) (/.f64 c (*.f64 b b))) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 (/.f64 b c) b)) c) (patch (*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 (/.f64 b c) b)) c) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) (patch (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64))) (patch (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) (patch (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (patch (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 a (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b))) (patch (/.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 a (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b))) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (/.f64 #s(literal 1 binary64) (/.f64 c (*.f64 b b)))) c)) #s(literal 1/4 binary64)) (pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 (/.f64 b c) b)) c)) #s(literal 1/4 binary64)) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (fma.f64 (pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (/.f64 #s(literal 1 binary64) (/.f64 c (*.f64 b b)))) c)) #s(literal 1/4 binary64)) (pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 (/.f64 b c) b)) c)) #s(literal 1/4 binary64)) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 b c) b) (patch (*.f64 (/.f64 b c) b) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -3 binary64) a (*.f64 (/.f64 b c) b)) (patch (fma.f64 #s(literal -3 binary64) a (*.f64 (/.f64 b c) b)) #<representation binary64>) () ())
Outputs
#s(alt (* -1/2 (/ c b)) (taylor 0 c) (#s(alt (/.f64 #s(literal -1 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (* -3 a)) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (fma.f64 #s(approx (+ (* (/ -3/4 b) (/ (* (* (/ (* a a) (pow b 3)) -3/8) a) b)) (+ (* (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) a)) -2/9) (/ (* 9/16 (pow a 3)) (pow b 5)))) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c (*.f64 b #s(literal 2 binary64))) c))) (patch (/.f64 #s(literal -1 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (* -3 a)) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (fma.f64 #s(approx (+ (* (/ -3/4 b) (/ (* (* (/ (* a a) (pow b 3)) -3/8) a) b)) (+ (* (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) a)) -2/9) (/ (* 9/16 (pow a 3)) (pow b 5)))) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c (*.f64 b #s(literal 2 binary64))) c))) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt (/.f64 #s(literal -1 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (* -3 a)) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (fma.f64 #s(approx (+ (* (/ -3/4 b) (/ (* (* (/ (* a a) (pow b 3)) -3/8) a) b)) (+ (* (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) a)) -2/9) (/ (* 9/16 (pow a 3)) (pow b 5)))) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c (*.f64 b #s(literal 2 binary64))) c))) (patch (/.f64 #s(literal -1 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (* -3 a)) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (fma.f64 #s(approx (+ (* (/ -3/4 b) (/ (* (* (/ (* a a) (pow b 3)) -3/8) a) b)) (+ (* (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) a)) -2/9) (/ (* 9/16 (pow a 3)) (pow b 5)))) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c (*.f64 b #s(literal 2 binary64))) c))) #<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 #s(literal -1 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (* -3 a)) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (fma.f64 #s(approx (+ (* (/ -3/4 b) (/ (* (* (/ (* a a) (pow b 3)) -3/8) a) b)) (+ (* (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) a)) -2/9) (/ (* 9/16 (pow a 3)) (pow b 5)))) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c (*.f64 b #s(literal 2 binary64))) c))) (patch (/.f64 #s(literal -1 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (* -3 a)) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (fma.f64 #s(approx (+ (* (/ -3/4 b) (/ (* (* (/ (* a a) (pow b 3)) -3/8) a) b)) (+ (* (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) a)) -2/9) (/ (* 9/16 (pow a 3)) (pow b 5)))) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c (*.f64 b #s(literal 2 binary64))) c))) #<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 #s(literal -1 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (* -3 a)) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (fma.f64 #s(approx (+ (* (/ -3/4 b) (/ (* (* (/ (* a a) (pow b 3)) -3/8) a) b)) (+ (* (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) a)) -2/9) (/ (* 9/16 (pow a 3)) (pow b 5)))) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c (*.f64 b #s(literal 2 binary64))) c))) (patch (/.f64 #s(literal -1 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (* -3 a)) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (fma.f64 #s(approx (+ (* (/ -3/4 b) (/ (* (* (/ (* a a) (pow b 3)) -3/8) a) b)) (+ (* (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) a)) -2/9) (/ (* 9/16 (pow a 3)) (pow b 5)))) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c (*.f64 b #s(literal 2 binary64))) c))) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ b c)) (taylor 0 c) (#s(alt #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (* -3 a)) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (fma.f64 #s(approx (+ (* (/ -3/4 b) (/ (* (* (/ (* a a) (pow b 3)) -3/8) a) b)) (+ (* (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) a)) -2/9) (/ (* 9/16 (pow a 3)) (pow b 5)))) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c (*.f64 b #s(literal 2 binary64))) c)) (patch #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (* -3 a)) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (fma.f64 #s(approx (+ (* (/ -3/4 b) (/ (* (* (/ (* a a) (pow b 3)) -3/8) a) b)) (+ (* (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) a)) -2/9) (/ (* 9/16 (pow a 3)) (pow b 5)))) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c (*.f64 b #s(literal 2 binary64))) c)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -3/2 (/ (* a c) b)) (* 2 b)) c) (taylor 0 c) (#s(alt #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (* -3 a)) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (fma.f64 #s(approx (+ (* (/ -3/4 b) (/ (* (* (/ (* a a) (pow b 3)) -3/8) a) b)) (+ (* (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) a)) -2/9) (/ (* 9/16 (pow a 3)) (pow b 5)))) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c (*.f64 b #s(literal 2 binary64))) c)) (patch #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (* -3 a)) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (fma.f64 #s(approx (+ (* (/ -3/4 b) (/ (* (* (/ (* a a) (pow b 3)) -3/8) a) b)) (+ (* (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) a)) -2/9) (/ (* 9/16 (pow a 3)) (pow b 5)))) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c (*.f64 b #s(literal 2 binary64))) c)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 2 b) (* c (+ (* -3/2 (/ a b)) (* 3 (* c (+ (* -3/4 (/ (pow a 2) (pow b 3))) (* 3/8 (/ (pow a 2) (pow b 3))))))))) c) (taylor 0 c) (#s(alt #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (* -3 a)) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (fma.f64 #s(approx (+ (* (/ -3/4 b) (/ (* (* (/ (* a a) (pow b 3)) -3/8) a) b)) (+ (* (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) a)) -2/9) (/ (* 9/16 (pow a 3)) (pow b 5)))) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c (*.f64 b #s(literal 2 binary64))) c)) (patch #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (* -3 a)) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (fma.f64 #s(approx (+ (* (/ -3/4 b) (/ (* (* (/ (* a a) (pow b 3)) -3/8) a) b)) (+ (* (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) a)) -2/9) (/ (* 9/16 (pow a 3)) (pow b 5)))) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c (*.f64 b #s(literal 2 binary64))) c)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 2 b) (* c (+ (* -3/2 (/ a b)) (* c (+ (* 3 (* c (+ (* -3/4 (/ (* a (+ (* -3/4 (/ (pow a 2) (pow b 3))) (* 3/8 (/ (pow a 2) (pow b 3))))) (pow b 2))) (+ (* -2/9 (/ (* b (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) a)) (* 9/16 (/ (pow a 3) (pow b 5))))))) (* 3 (+ (* -3/4 (/ (pow a 2) (pow b 3))) (* 3/8 (/ (pow a 2) (pow b 3)))))))))) c) (taylor 0 c) (#s(alt #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (* -3 a)) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (fma.f64 #s(approx (+ (* (/ -3/4 b) (/ (* (* (/ (* a a) (pow b 3)) -3/8) a) b)) (+ (* (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) a)) -2/9) (/ (* 9/16 (pow a 3)) (pow b 5)))) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c (*.f64 b #s(literal 2 binary64))) c)) (patch #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (* -3 a)) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (fma.f64 #s(approx (+ (* (/ -3/4 b) (/ (* (* (/ (* a a) (pow b 3)) -3/8) a) b)) (+ (* (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) a)) -2/9) (/ (* 9/16 (pow a 3)) (pow b 5)))) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c (*.f64 b #s(literal 2 binary64))) c)) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ b c)) (taylor 0 c) (#s(alt (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (fma.f64 #s(approx (+ (* (/ -3/4 b) (/ (* (* (/ (* a a) (pow b 3)) -3/8) a) b)) (+ (* (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) a)) -2/9) (/ (* 9/16 (pow a 3)) (pow b 5)))) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c (*.f64 b #s(literal 2 binary64))) c) (patch (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (fma.f64 #s(approx (+ (* (/ -3/4 b) (/ (* (* (/ (* a a) (pow b 3)) -3/8) a) b)) (+ (* (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) a)) -2/9) (/ (* 9/16 (pow a 3)) (pow b 5)))) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c (*.f64 b #s(literal 2 binary64))) c) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -3/2 (/ (* a c) b)) (* 2 b)) c) (taylor 0 c) (#s(alt (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (fma.f64 #s(approx (+ (* (/ -3/4 b) (/ (* (* (/ (* a a) (pow b 3)) -3/8) a) b)) (+ (* (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) a)) -2/9) (/ (* 9/16 (pow a 3)) (pow b 5)))) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c (*.f64 b #s(literal 2 binary64))) c) (patch (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (fma.f64 #s(approx (+ (* (/ -3/4 b) (/ (* (* (/ (* a a) (pow b 3)) -3/8) a) b)) (+ (* (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) a)) -2/9) (/ (* 9/16 (pow a 3)) (pow b 5)))) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c (*.f64 b #s(literal 2 binary64))) c) #<representation binary64>) () ())) ())
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#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 (fma.f64 (pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (/.f64 #s(literal 1 binary64) (/.f64 c (*.f64 b b)))) c)) #s(literal 1/4 binary64)) (pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 (/.f64 b c) b)) c)) #s(literal 1/4 binary64)) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (fma.f64 (pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (/.f64 #s(literal 1 binary64) (/.f64 c (*.f64 b b)))) c)) #s(literal 1/4 binary64)) (pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 (/.f64 b c) b)) c)) #s(literal 1/4 binary64)) (neg.f64 b)) (*.f64 #s(literal 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 (fma.f64 (pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (/.f64 #s(literal 1 binary64) (/.f64 c (*.f64 b b)))) c)) #s(literal 1/4 binary64)) (pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 (/.f64 b c) b)) c)) #s(literal 1/4 binary64)) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (fma.f64 (pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (/.f64 #s(literal 1 binary64) (/.f64 c (*.f64 b b)))) c)) #s(literal 1/4 binary64)) (pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 (/.f64 b c) b)) c)) #s(literal 1/4 binary64)) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* -3 a) (taylor -inf a) (#s(alt (fma.f64 #s(literal -3 binary64) a (*.f64 (/.f64 b c) b)) (patch (fma.f64 #s(literal -3 binary64) a (*.f64 (/.f64 b c) b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ 3 (* -1 (/ (pow b 2) (* a c)))))) (taylor -inf a) (#s(alt (fma.f64 #s(literal -3 binary64) a (*.f64 (/.f64 b c) b)) (patch (fma.f64 #s(literal -3 binary64) a (*.f64 (/.f64 b c) b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ 3 (* -1 (/ (pow b 2) (* a c)))))) (taylor -inf a) (#s(alt (fma.f64 #s(literal -3 binary64) a (*.f64 (/.f64 b c) b)) (patch (fma.f64 #s(literal -3 binary64) a (*.f64 (/.f64 b c) b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ 3 (* -1 (/ (pow b 2) (* a c)))))) (taylor -inf a) (#s(alt (fma.f64 #s(literal -3 binary64) a (*.f64 (/.f64 b c) b)) (patch (fma.f64 #s(literal -3 binary64) a (*.f64 (/.f64 b c) b)) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
9.0ms
a
@inf
((/ -1 (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (* -3 a))) (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (* -3 a)) (/ (+ (* (+ (* (* 3 (+ (* (+ (* (/ -3/4 b) (/ (* (* (/ (* a a) (pow b 3)) -3/8) a) b)) (+ (* (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) a)) -2/9) (/ (* 9/16 (pow a 3)) (pow b 5)))) c) (* (/ (* a a) (pow b 3)) -3/8))) c) (* (/ a b) -3/2)) c) (* b 2)) c) (+ (* (+ (* (* 3 (+ (* (+ (* (/ -3/4 b) (/ (* (* (/ (* a a) (pow b 3)) -3/8) a) b)) (+ (* (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) a)) -2/9) (/ (* 9/16 (pow a 3)) (pow b 5)))) c) (* (/ (* a a) (pow b 3)) -3/8))) c) (* (/ a b) -3/2)) c) (* b 2)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ -1/2 (/ b c)) (/ b c) (* (/ -1 a) (* (- b (sqrt (+ (* (* -3 c) a) (* b b)))) 1/3)) (/ -1 a) (* (- b (sqrt (+ (* (* -3 c) a) (* b b)))) 1/3) (- b (sqrt (+ (* (* -3 c) a) (* b b)))) (- (+ (* (* -3 a) c) (* b b)) (* b b)) (/ a (- (+ (* (* -3 a) c) (* b b)) (* b b))) (* (/ a (- (+ (* (* -3 a) c) (* b b)) (* b b))) (+ (sqrt (+ (* (* -3 a) c) (* b b))) b)) (+ (* (* -3 a) c) (* b b)) (+ (* (pow (- (* b b) (* (* 3 a) c)) 1/4) (pow (- (* b b) (* (* 3 a) c)) 1/4)) (neg b)) (* (+ (* -3 a) (/ 1 (/ c (* b b)))) c) (/ 1 (/ c (* b b))) (* (+ (* -3 a) (* (/ b c) b)) c) (/ (* a a) (pow b 3)) (/ (* (pow a 3) -9/16) (pow b 5)) (* (/ (* a a) (pow b 3)) -3/8) (+ (* (* -3 c) a) (* b b)) (/ 1/3 (* (/ a (- (+ (* (* -3 a) c) (* b b)) (* b b))) (+ (sqrt (+ (* (* -3 a) c) (* b b))) b))) (/ (+ (* (pow (- (* b b) (* (* 3 a) c)) 1/4) (pow (- (* b b) (* (* 3 a) c)) 1/4)) (neg b)) (* 3 a)) (* (/ b c) b) (+ (* -3 a) (* (/ b c) b)))
9.0ms
c
@0
((/ -1 (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (* -3 a))) (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (* -3 a)) (/ (+ (* (+ (* (* 3 (+ (* (+ (* (/ -3/4 b) (/ (* (* (/ (* a a) (pow b 3)) -3/8) a) b)) (+ (* (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) a)) -2/9) (/ (* 9/16 (pow a 3)) (pow b 5)))) c) (* (/ (* a a) (pow b 3)) -3/8))) c) (* (/ a b) -3/2)) c) (* b 2)) c) (+ (* (+ (* (* 3 (+ (* (+ (* (/ -3/4 b) (/ (* (* (/ (* a a) (pow b 3)) -3/8) a) b)) (+ (* (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) a)) -2/9) (/ (* 9/16 (pow a 3)) (pow b 5)))) c) (* (/ (* a a) (pow b 3)) -3/8))) c) (* (/ a b) -3/2)) c) (* b 2)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ -1/2 (/ b c)) (/ b c) (* (/ -1 a) (* (- b (sqrt (+ (* (* -3 c) a) (* b b)))) 1/3)) (/ -1 a) (* (- b (sqrt (+ (* (* -3 c) a) (* b b)))) 1/3) (- b (sqrt (+ (* (* -3 c) a) (* b b)))) (- (+ (* (* -3 a) c) (* b b)) (* b b)) (/ a (- (+ (* (* -3 a) c) (* b b)) (* b b))) (* (/ a (- (+ (* (* -3 a) c) (* b b)) (* b b))) (+ (sqrt (+ (* (* -3 a) c) (* b b))) b)) (+ (* (* -3 a) c) (* b b)) (+ (* (pow (- (* b b) (* (* 3 a) c)) 1/4) (pow (- (* b b) (* (* 3 a) c)) 1/4)) (neg b)) (* (+ (* -3 a) (/ 1 (/ c (* b b)))) c) (/ 1 (/ c (* b b))) (* (+ (* -3 a) (* (/ b c) b)) c) (/ (* a a) (pow b 3)) (/ (* (pow a 3) -9/16) (pow b 5)) (* (/ (* a a) (pow b 3)) -3/8) (+ (* (* -3 c) a) (* b b)) (/ 1/3 (* (/ a (- (+ (* (* -3 a) c) (* b b)) (* b b))) (+ (sqrt (+ (* (* -3 a) c) (* b b))) b))) (/ (+ (* (pow (- (* b b) (* (* 3 a) c)) 1/4) (pow (- (* b b) (* (* 3 a) c)) 1/4)) (neg b)) (* 3 a)) (* (/ b c) b) (+ (* -3 a) (* (/ b c) b)))
8.0ms
b
@-inf
((/ -1 (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (* -3 a))) (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (* -3 a)) (/ (+ (* (+ (* (* 3 (+ (* (+ (* (/ -3/4 b) (/ (* (* (/ (* a a) (pow b 3)) -3/8) a) b)) (+ (* (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) a)) -2/9) (/ (* 9/16 (pow a 3)) (pow b 5)))) c) (* (/ (* a a) (pow b 3)) -3/8))) c) (* (/ a b) -3/2)) c) (* b 2)) c) (+ (* (+ (* (* 3 (+ (* (+ (* (/ -3/4 b) (/ (* (* (/ (* a a) (pow b 3)) -3/8) a) b)) (+ (* (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) a)) -2/9) (/ (* 9/16 (pow a 3)) (pow b 5)))) c) (* (/ (* a a) (pow b 3)) -3/8))) c) (* (/ a b) -3/2)) c) (* b 2)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ -1/2 (/ b c)) (/ b c) (* (/ -1 a) (* (- b (sqrt (+ (* (* -3 c) a) (* b b)))) 1/3)) (/ -1 a) (* (- b (sqrt (+ (* (* -3 c) a) (* b b)))) 1/3) (- b (sqrt (+ (* (* -3 c) a) (* b b)))) (- (+ (* (* -3 a) c) (* b b)) (* b b)) (/ a (- (+ (* (* -3 a) c) (* b b)) (* b b))) (* (/ a (- (+ (* (* -3 a) c) (* b b)) (* b b))) (+ (sqrt (+ (* (* -3 a) c) (* b b))) b)) (+ (* (* -3 a) c) (* b b)) (+ (* (pow (- (* b b) (* (* 3 a) c)) 1/4) (pow (- (* b b) (* (* 3 a) c)) 1/4)) (neg b)) (* (+ (* -3 a) (/ 1 (/ c (* b b)))) c) (/ 1 (/ c (* b b))) (* (+ (* -3 a) (* (/ b c) b)) c) (/ (* a a) (pow b 3)) (/ (* (pow a 3) -9/16) (pow b 5)) (* (/ (* a a) (pow b 3)) -3/8) (+ (* (* -3 c) a) (* b b)) (/ 1/3 (* (/ a (- (+ (* (* -3 a) c) (* b b)) (* b b))) (+ (sqrt (+ (* (* -3 a) c) (* b b))) b))) (/ (+ (* (pow (- (* b b) (* (* 3 a) c)) 1/4) (pow (- (* b b) (* (* 3 a) c)) 1/4)) (neg b)) (* 3 a)) (* (/ b c) b) (+ (* -3 a) (* (/ b c) b)))
8.0ms
b
@0
((/ -1 (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (* -3 a))) (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (* -3 a)) (/ (+ (* (+ (* (* 3 (+ (* (+ (* (/ -3/4 b) (/ (* (* (/ (* a a) (pow b 3)) -3/8) a) b)) (+ (* (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) a)) -2/9) (/ (* 9/16 (pow a 3)) (pow b 5)))) c) (* (/ (* a a) (pow b 3)) -3/8))) c) (* (/ a b) -3/2)) c) (* b 2)) c) (+ (* (+ (* (* 3 (+ (* (+ (* (/ -3/4 b) (/ (* (* (/ (* a a) (pow b 3)) -3/8) a) b)) (+ (* (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) a)) -2/9) (/ (* 9/16 (pow a 3)) (pow b 5)))) c) (* (/ (* a a) (pow b 3)) -3/8))) c) (* (/ a b) -3/2)) c) (* b 2)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ -1/2 (/ b c)) (/ b c) (* (/ -1 a) (* (- b (sqrt (+ (* (* -3 c) a) (* b b)))) 1/3)) (/ -1 a) (* (- b (sqrt (+ (* (* -3 c) a) (* b b)))) 1/3) (- b (sqrt (+ (* (* -3 c) a) (* b b)))) (- (+ (* (* -3 a) c) (* b b)) (* b b)) (/ a (- (+ (* (* -3 a) c) (* b b)) (* b b))) (* (/ a (- (+ (* (* -3 a) c) (* b b)) (* b b))) (+ (sqrt (+ (* (* -3 a) c) (* b b))) b)) (+ (* (* -3 a) c) (* b b)) (+ (* (pow (- (* b b) (* (* 3 a) c)) 1/4) (pow (- (* b b) (* (* 3 a) c)) 1/4)) (neg b)) (* (+ (* -3 a) (/ 1 (/ c (* b b)))) c) (/ 1 (/ c (* b b))) (* (+ (* -3 a) (* (/ b c) b)) c) (/ (* a a) (pow b 3)) (/ (* (pow a 3) -9/16) (pow b 5)) (* (/ (* a a) (pow b 3)) -3/8) (+ (* (* -3 c) a) (* b b)) (/ 1/3 (* (/ a (- (+ (* (* -3 a) c) (* b b)) (* b b))) (+ (sqrt (+ (* (* -3 a) c) (* b b))) b))) (/ (+ (* (pow (- (* b b) (* (* 3 a) c)) 1/4) (pow (- (* b b) (* (* 3 a) c)) 1/4)) (neg b)) (* 3 a)) (* (/ b c) b) (+ (* -3 a) (* (/ b c) b)))
7.0ms
a
@-inf
((/ -1 (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (* -3 a))) (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (* -3 a)) (/ (+ (* (+ (* (* 3 (+ (* (+ (* (/ -3/4 b) (/ (* (* (/ (* a a) (pow b 3)) -3/8) a) b)) (+ (* (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) a)) -2/9) (/ (* 9/16 (pow a 3)) (pow b 5)))) c) (* (/ (* a a) (pow b 3)) -3/8))) c) (* (/ a b) -3/2)) c) (* b 2)) c) (+ (* (+ (* (* 3 (+ (* (+ (* (/ -3/4 b) (/ (* (* (/ (* a a) (pow b 3)) -3/8) a) b)) (+ (* (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) a)) -2/9) (/ (* 9/16 (pow a 3)) (pow b 5)))) c) (* (/ (* a a) (pow b 3)) -3/8))) c) (* (/ a b) -3/2)) c) (* b 2)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ -1/2 (/ b c)) (/ b c) (* (/ -1 a) (* (- b (sqrt (+ (* (* -3 c) a) (* b b)))) 1/3)) (/ -1 a) (* (- b (sqrt (+ (* (* -3 c) a) (* b b)))) 1/3) (- b (sqrt (+ (* (* -3 c) a) (* b b)))) (- (+ (* (* -3 a) c) (* b b)) (* b b)) (/ a (- (+ (* (* -3 a) c) (* b b)) (* b b))) (* (/ a (- (+ (* (* -3 a) c) (* b b)) (* b b))) (+ (sqrt (+ (* (* -3 a) c) (* b b))) b)) (+ (* (* -3 a) c) (* b b)) (+ (* (pow (- (* b b) (* (* 3 a) c)) 1/4) (pow (- (* b b) (* (* 3 a) c)) 1/4)) (neg b)) (* (+ (* -3 a) (/ 1 (/ c (* b b)))) c) (/ 1 (/ c (* b b))) (* (+ (* -3 a) (* (/ b c) b)) c) (/ (* a a) (pow b 3)) (/ (* (pow a 3) -9/16) (pow b 5)) (* (/ (* a a) (pow b 3)) -3/8) (+ (* (* -3 c) a) (* b b)) (/ 1/3 (* (/ a (- (+ (* (* -3 a) c) (* b b)) (* b b))) (+ (sqrt (+ (* (* -3 a) c) (* b b))) b))) (/ (+ (* (pow (- (* b b) (* (* 3 a) c)) 1/4) (pow (- (* b b) (* (* 3 a) c)) 1/4)) (neg b)) (* 3 a)) (* (/ b c) b) (+ (* -3 a) (* (/ b c) b)))

simplify233.0ms (2.1%)

Memory
31.8MiB live, 343.4MiB allocated
Algorithm
egg-herbie
Rules
7 568×lower-*.f64
7 568×lower-*.f32
5 990×lower-fma.f64
5 990×lower-fma.f32
3 266×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0165215850
1553115252
0816314604
Stop Event
iter limit
node limit
Counts
864 → 864
Calls
Call 1
Inputs
(* -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))))
(* 2 (/ b c))
(/ (+ (* -3/2 (/ (* a c) b)) (* 2 b)) c)
(/ (+ (* 2 b) (* c (+ (* -3/2 (/ a b)) (* 3 (* c (+ (* -3/4 (/ (pow a 2) (pow b 3))) (* 3/8 (/ (pow a 2) (pow b 3))))))))) c)
(/ (+ (* 2 b) (* c (+ (* -3/2 (/ a b)) (* c (+ (* 3 (* c (+ (* -3/4 (/ (* a (+ (* -3/4 (/ (pow a 2) (pow b 3))) (* 3/8 (/ (pow a 2) (pow b 3))))) (pow b 2))) (+ (* -2/9 (/ (* b (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) a)) (* 9/16 (/ (pow a 3) (pow b 5))))))) (* 3 (+ (* -3/4 (/ (pow a 2) (pow b 3))) (* 3/8 (/ (pow a 2) (pow b 3)))))))))) c)
(* 2 (/ b c))
(/ (+ (* -3/2 (/ (* a c) b)) (* 2 b)) c)
(/ (+ (* 2 b) (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))) c)
(/ (+ (* 2 b) (* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* 3 (* c (+ (* -45/32 (/ (pow a 3) (pow b 5))) (+ (* 9/32 (/ (pow a 3) (pow b 5))) (* 9/16 (/ (pow a 3) (pow b 5)))))))))))) c)
(* 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 (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* 3 (* c (+ (* -45/32 (/ (pow a 3) (pow b 5))) (+ (* 9/32 (/ (pow a 3) (pow b 5))) (* 9/16 (/ (pow a 3) (pow b 5))))))))))))
(* -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))))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(* -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))))
(* 1/2 (/ (* a c) b))
(* c (+ (* 3/8 (/ (* (pow a 2) c) (pow b 3))) (* 1/2 (/ a b))))
(* c (+ (* 1/2 (/ a b)) (* c (+ (* 3/8 (/ (pow a 2) (pow b 3))) (* 9/16 (/ (* (pow a 3) c) (pow b 5)))))))
(* c (+ (* 1/2 (/ a b)) (* c (+ (* 3/8 (/ (pow a 2) (pow b 3))) (* c (+ (* 1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)) (* 9/16 (/ (pow a 3) (pow b 5)))))))))
(* 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))))
(* -3 (* a c))
(* -3 (* a c))
(* -3 (* a c))
(* -3 (* a c))
(/ -1/3 c)
(/ -1/3 c)
(/ -1/3 c)
(/ -1/3 c)
(* -2/3 (/ b c))
(/ (+ (* -2/3 b) (* 1/2 (/ (* a c) b))) c)
(/ (+ (* -2/3 b) (* c (+ (* 3/8 (/ (* (pow a 2) c) (pow b 3))) (* 1/2 (/ a b))))) c)
(/ (+ (* -2/3 b) (* c (+ (* 1/2 (/ a b)) (* c (+ (* 3/8 (/ (pow a 2) (pow b 3))) (* 9/16 (/ (* (pow a 3) c) (pow b 5)))))))) c)
(pow b 2)
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(* -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))))))))
(pow b 2)
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(/ (pow b 2) c)
(/ (pow b 2) c)
(/ (pow b 2) c)
(/ (pow b 2) 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)
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(* -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))) (* c (+ (* -27/32 (/ (pow a 3) (pow b 7))) (* -27/128 (/ (pow a 3) (pow b 7))))))))) (* 1/2 (/ 1 b))))
(* -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))))
(/ (pow b 2) c)
(/ (pow b 2) c)
(/ (pow b 2) c)
(/ (pow b 2) c)
(/ (pow b 2) c)
(/ (+ (* -3 (* a c)) (pow b 2)) c)
(/ (+ (* -3 (* a c)) (pow b 2)) c)
(/ (+ (* -3 (* a c)) (pow b 2)) c)
(* 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)))))))
(* -3 (* (sqrt (/ a c)) (/ 1 (sqrt -3))))
(/ (+ (* -3 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (* -3 (/ b (pow (sqrt -3) 2)))) c)
(/ (+ (* -3 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (+ (* -3 (/ b (pow (sqrt -3) 2))) (* 3 (/ (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3))))) (pow c 2))))) c)
(/ (+ (* -3 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (+ (* -3 (/ b (pow (sqrt -3) 2))) (+ (* 3 (/ (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3))))) (pow c 2))) (* 3 (/ (+ (* 1/2 (/ (* (pow b 3) (pow c 2)) (* a (pow (sqrt -3) 4)))) (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3)))) (pow c 3)))))) c)
(* 3 (* (pow c 2) (+ (* -45/32 (/ (pow a 3) (pow b 5))) (+ (* 9/32 (/ (pow a 3) (pow b 5))) (* 9/16 (/ (pow a 3) (pow b 5)))))))
(* (pow c 2) (+ (* -9/8 (/ (pow a 2) (* (pow b 3) c))) (* 3 (+ (* -45/32 (/ (pow a 3) (pow b 5))) (+ (* 9/32 (/ (pow a 3) (pow b 5))) (* 9/16 (/ (pow a 3) (pow b 5))))))))
(* (pow c 2) (+ (* -3/2 (/ a (* b (pow c 2)))) (+ (* -9/8 (/ (pow a 2) (* (pow b 3) c))) (* 3 (+ (* -45/32 (/ (pow a 3) (pow b 5))) (+ (* 9/32 (/ (pow a 3) (pow b 5))) (* 9/16 (/ (pow a 3) (pow b 5)))))))))
(* (pow c 2) (+ (* -3/2 (/ a (* b (pow c 2)))) (+ (* -9/8 (/ (pow a 2) (* (pow b 3) c))) (+ (* 2 (/ b (pow c 3))) (* 3 (+ (* -45/32 (/ (pow a 3) (pow b 5))) (+ (* 9/32 (/ (pow a 3) (pow b 5))) (* 9/16 (/ (pow a 3) (pow b 5))))))))))
(* 3 (* (pow c 3) (+ (* -45/32 (/ (pow a 3) (pow b 5))) (+ (* 9/32 (/ (pow a 3) (pow b 5))) (* 9/16 (/ (pow a 3) (pow b 5)))))))
(* (pow c 3) (+ (* -9/8 (/ (pow a 2) (* (pow b 3) c))) (* 3 (+ (* -45/32 (/ (pow a 3) (pow b 5))) (+ (* 9/32 (/ (pow a 3) (pow b 5))) (* 9/16 (/ (pow a 3) (pow b 5))))))))
(* (pow c 3) (+ (* -3/2 (/ a (* b (pow c 2)))) (+ (* -9/8 (/ (pow a 2) (* (pow b 3) c))) (* 3 (+ (* -45/32 (/ (pow a 3) (pow b 5))) (+ (* 9/32 (/ (pow a 3) (pow b 5))) (* 9/16 (/ (pow a 3) (pow b 5)))))))))
(* (pow c 3) (+ (* -3/2 (/ a (* b (pow c 2)))) (+ (* -9/8 (/ (pow a 2) (* (pow b 3) c))) (+ (* 2 (/ b (pow c 3))) (* 3 (+ (* -45/32 (/ (pow a 3) (pow b 5))) (+ (* 9/32 (/ (pow a 3) (pow b 5))) (* 9/16 (/ (pow a 3) (pow b 5))))))))))
(* 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)))))))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(* 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 (* a c)) (sqrt -3)))
(* c (+ (* -1/3 (* (sqrt (/ a c)) (sqrt -3))) (* 1/3 (/ b c))))
(* c (+ (* -1/3 (* (sqrt (/ a c)) (sqrt -3))) (+ (* -1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (/ b c)))))
(* c (+ (* -1/3 (* (sqrt (/ a c)) (sqrt -3))) (+ (* -1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (+ (* 1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (* 1/3 (/ b c))))))
(* -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)))))
(* -3 (* a c))
(* -3 (* a c))
(* -3 (* a c))
(* -3 (* a c))
(/ -1/3 c)
(/ -1/3 c)
(/ -1/3 c)
(/ -1/3 c)
(* -1/3 (* (sqrt (/ a c)) (sqrt -3)))
(+ (* -1/3 (* (sqrt (/ a c)) (sqrt -3))) (* -1/3 (/ b c)))
(+ (* -1/3 (* (sqrt (/ a c)) (sqrt -3))) (+ (* -1/3 (/ b 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)) (+ (* -1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))))))
(* -3 (* a c))
(* c (+ (* -3 a) (/ (pow b 2) c)))
(* c (+ (* -3 a) (/ (pow b 2) c)))
(* c (+ (* -3 a) (/ (pow b 2) c)))
(* (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)))
(* -3 (* a c))
(* c (+ (* -3 a) (/ (pow b 2) c)))
(* c (+ (* -3 a) (/ (pow b 2) c)))
(* c (+ (* -3 a) (/ (pow b 2) c)))
(/ (pow b 2) c)
(/ (pow b 2) c)
(/ (pow b 2) c)
(/ (pow b 2) c)
(* -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))
(* c (+ (* -3 a) (/ (pow b 2) c)))
(* c (+ (* -3 a) (/ (pow b 2) c)))
(* c (+ (* -3 a) (/ (pow b 2) c)))
(* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3))))
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (/ b (* a (pow (sqrt -3) 2))))
(- (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* -1 (/ (+ (* -1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (pow c 2)))) (* -1 (/ b (* a (pow (sqrt -3) 2)))))
(- (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3))))) (sqrt -3)))) (* 1/2 (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -3) 4))))) (pow c 3)))) (+ (* -1 (/ b (* a (pow (sqrt -3) 2)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -3) 3))))))
(* 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)))))))
(/ (pow b 2) c)
(/ (pow b 2) c)
(/ (pow b 2) c)
(/ (pow b 2) c)
(* -3 a)
(+ (* -3 a) (/ (pow b 2) c))
(+ (* -3 a) (/ (pow b 2) c))
(+ (* -3 a) (/ (pow b 2) c))
(* -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)))))))
(* 3 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3))))
(* -1 (/ (+ (* -3 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (* -3 (/ b (pow (sqrt 3) 2)))) c))
(* -1 (/ (+ (* -3 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -3 (/ (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) c)) (* 3 (/ (* b c) (pow (sqrt 3) 2)))) c))) c))
(* -1 (/ (+ (* -3 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -1 (/ (+ (* -3 (/ (+ (* 1/2 (/ (* (pow b 3) (pow c 2)) (* a (pow (sqrt 3) 4)))) (* (sqrt (/ c a)) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) c)) (* 3 (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) c)) (* 3 (/ (* b c) (pow (sqrt 3) 2)))) c))) c))
(* 3 (* (pow c 2) (+ (* -45/32 (/ (pow a 3) (pow b 5))) (+ (* 9/32 (/ (pow a 3) (pow b 5))) (* 9/16 (/ (pow a 3) (pow b 5)))))))
(* (pow c 2) (+ (* -9/8 (/ (pow a 2) (* (pow b 3) c))) (* 3 (+ (* -45/32 (/ (pow a 3) (pow b 5))) (+ (* 9/32 (/ (pow a 3) (pow b 5))) (* 9/16 (/ (pow a 3) (pow b 5))))))))
(* (pow c 2) (+ (* -1 (/ (+ (* 9/8 (/ (pow a 2) (pow b 3))) (* 3/2 (/ a (* b c)))) c)) (* 3 (+ (* -45/32 (/ (pow a 3) (pow b 5))) (+ (* 9/32 (/ (pow a 3) (pow b 5))) (* 9/16 (/ (pow a 3) (pow b 5))))))))
(* (pow c 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -3/2 (/ a b)) (* 2 (/ b c))) c)) (* 9/8 (/ (pow a 2) (pow b 3)))) c)) (* 3 (+ (* -45/32 (/ (pow a 3) (pow b 5))) (+ (* 9/32 (/ (pow a 3) (pow b 5))) (* 9/16 (/ (pow a 3) (pow b 5))))))))
(* 3 (* (pow c 3) (+ (* -45/32 (/ (pow a 3) (pow b 5))) (+ (* 9/32 (/ (pow a 3) (pow b 5))) (* 9/16 (/ (pow a 3) (pow b 5)))))))
(* -1 (* (pow c 3) (+ (* -3 (+ (* -45/32 (/ (pow a 3) (pow b 5))) (+ (* 9/32 (/ (pow a 3) (pow b 5))) (* 9/16 (/ (pow a 3) (pow b 5)))))) (* 9/8 (/ (pow a 2) (* (pow b 3) c))))))
(* -1 (* (pow c 3) (+ (* -3 (+ (* -45/32 (/ (pow a 3) (pow b 5))) (+ (* 9/32 (/ (pow a 3) (pow b 5))) (* 9/16 (/ (pow a 3) (pow b 5)))))) (* -1 (/ (+ (* -3/2 (/ a (* b c))) (* -9/8 (/ (pow a 2) (pow b 3)))) c)))))
(* -1 (* (pow c 3) (+ (* -3 (+ (* -45/32 (/ (pow a 3) (pow b 5))) (+ (* 9/32 (/ (pow a 3) (pow b 5))) (* 9/16 (/ (pow a 3) (pow b 5)))))) (* -1 (/ (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* -1 (/ (+ (* -2 (/ b c)) (* 3/2 (/ a b))) c))) c)))))
(* -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))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(* -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 -1) (sqrt 3))))
(* -1 (* c (+ (* -1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b 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)))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) c)) (* 1/3 b)) c)) (* -1/3 (* (sqrt (/ a c)) (* (sqrt -1) (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))))))
(* -3 (* a c))
(* -3 (* a c))
(* -3 (* a c))
(* -3 (* a c))
(/ -1/3 c)
(/ -1/3 c)
(/ -1/3 c)
(/ -1/3 c)
(* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))
(+ (* -1/3 (/ b c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))
(+ (* -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 (/ (+ (* -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)))))
(* -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 (* (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))
(* -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))))
(/ (pow b 2) c)
(/ (pow b 2) c)
(/ (pow b 2) c)
(/ (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))
(* -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))))
(* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))
(+ (* -1 (/ b (* a (pow (sqrt 3) 2)))) (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3))))
(+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) (* -1 (/ (* b c) (* a (pow (sqrt 3) 2))))) c)) (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3))))
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (* -1/2 (/ (* (pow b 3) c) (* (pow a 2) (pow (sqrt 3) 4))))) (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) c)) (* -1 (/ (* b c) (* a (pow (sqrt 3) 2))))) c)) (* (sqrt (/ c a)) (/ (sqrt -1) (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)))))))
(/ (pow b 2) c)
(/ (pow b 2) c)
(/ (pow b 2) c)
(/ (pow b 2) c)
(* -3 a)
(+ (* -3 a) (/ (pow b 2) c))
(+ (* -3 a) (/ (pow b 2) c))
(+ (* -3 a) (/ (pow b 2) c))
(* 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)))))
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(* -3 (* (sqrt (/ a c)) (/ 1 (sqrt -3))))
(+ (* -3 (* (sqrt (/ a c)) (/ 1 (sqrt -3)))) (* -3 (/ b (* c (pow (sqrt -3) 2)))))
(+ (* -3 (* (sqrt (/ a c)) (/ 1 (sqrt -3)))) (* b (- (* 3 (* b (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -3) 3))))))) (* 3 (/ 1 (* c (pow (sqrt -3) 2)))))))
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(* 3 (/ (* (pow c 2) (+ (* -45/32 (pow a 3)) (+ (* 9/32 (pow a 3)) (* 9/16 (pow a 3))))) (pow b 5)))
(/ (+ (* -9/8 (* (pow a 2) (* (pow b 2) c))) (* 3 (* (pow c 2) (+ (* -45/32 (pow a 3)) (+ (* 9/32 (pow a 3)) (* 9/16 (pow a 3))))))) (pow b 5))
(/ (+ (* 3 (* (pow c 2) (+ (* -45/32 (pow a 3)) (+ (* 9/32 (pow a 3)) (* 9/16 (pow a 3)))))) (* (pow b 2) (+ (* -3/2 (* a (pow b 2))) (* -9/8 (* (pow a 2) c))))) (pow b 5))
(/ (+ (* 3 (* (pow c 2) (+ (* -45/32 (pow a 3)) (+ (* 9/32 (pow a 3)) (* 9/16 (pow a 3)))))) (* (pow b 2) (+ (* -9/8 (* (pow a 2) c)) (* (pow b 2) (+ (* -3/2 a) (* 2 (/ (pow b 2) c))))))) (pow b 5))
(* 3 (/ (* (pow c 3) (+ (* -45/32 (pow a 3)) (+ (* 9/32 (pow a 3)) (* 9/16 (pow a 3))))) (pow b 5)))
(/ (+ (* -9/8 (* (pow a 2) (* (pow b 2) (pow c 2)))) (* 3 (* (pow c 3) (+ (* -45/32 (pow a 3)) (+ (* 9/32 (pow a 3)) (* 9/16 (pow a 3))))))) (pow b 5))
(/ (+ (* 3 (* (pow c 3) (+ (* -45/32 (pow a 3)) (+ (* 9/32 (pow a 3)) (* 9/16 (pow a 3)))))) (* (pow b 2) (+ (* -3/2 (* a (* (pow b 2) c))) (* -9/8 (* (pow a 2) (pow c 2)))))) (pow b 5))
(/ (+ (* 3 (* (pow c 3) (+ (* -45/32 (pow a 3)) (+ (* 9/32 (pow a 3)) (* 9/16 (pow a 3)))))) (* (pow b 2) (+ (* -9/8 (* (pow a 2) (pow c 2))) (* (pow b 2) (+ (* -3/2 (* a c)) (* 2 (pow b 2))))))) (pow b 5))
(* 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 b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(* 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)))))
(* -1/3 (* (sqrt (* a c)) (sqrt -3)))
(+ (* -1/3 (* (sqrt (* a c)) (sqrt -3))) (* 1/3 b))
(+ (* -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 (+ (* -1/6 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* 1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))))))))
(* -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 (* a c))
(* -3 (* a c))
(* -3 (* a c))
(* -3 (* a c))
(/ -1/3 c)
(/ -1/3 c)
(/ -1/3 c)
(/ -1/3 c)
(* -1/3 (* (sqrt (/ a c)) (sqrt -3)))
(+ (* -1/3 (* (sqrt (/ a c)) (sqrt -3))) (* -1/3 (/ b c)))
(+ (* -1/3 (* (sqrt (/ a c)) (sqrt -3))) (* b (- (* -1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ b (sqrt -3)))) (* 1/3 (/ 1 c)))))
(+ (* -1/3 (* (sqrt (/ a c)) (sqrt -3))) (* b (- (* b (+ (* -1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (sqrt -3)))) (* 1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 3)))))) (* 1/3 (/ 1 c)))))
(* -3 (* a c))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(* (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 (* a c))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(/ (pow b 2) c)
(/ (pow b 2) c)
(/ (pow b 2) c)
(/ (pow b 2) c)
(* -3 (* a c))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(/ (pow a 2) (pow b 3))
(/ (pow a 2) (pow b 3))
(/ (pow a 2) (pow b 3))
(/ (pow a 2) (pow b 3))
(* -9/16 (/ (pow a 3) (pow b 5)))
(* -9/16 (/ (pow a 3) (pow b 5)))
(* -9/16 (/ (pow a 3) (pow b 5)))
(* -9/16 (/ (pow a 3) (pow b 5)))
(* -3/8 (/ (pow a 2) (pow b 3)))
(* -3/8 (/ (pow a 2) (pow b 3)))
(* -3/8 (/ (pow a 2) (pow b 3)))
(* -3/8 (/ (pow a 2) (pow b 3)))
(* -3 (* a c))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3))))
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (/ b (* a (pow (sqrt -3) 2))))
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* b (+ (* b (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))))) (/ 1 (* a (pow (sqrt -3) 2))))))
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* b (+ (* b (+ (* -1 (* b (- (* 1/2 (/ 1 (* (pow a 2) (* c (pow (sqrt -3) 4))))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3))))) (sqrt -3))))))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3))))))) (/ 1 (* a (pow (sqrt -3) 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)))))
(/ (pow b 2) c)
(/ (pow b 2) c)
(/ (pow b 2) c)
(/ (pow b 2) c)
(* -3 a)
(+ (* -3 a) (/ (pow b 2) c))
(+ (* -3 a) (/ (pow b 2) c))
(+ (* -3 a) (/ (pow b 2) c))
(* -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 (/ b c))
(* b (+ (* -3/2 (/ a (pow b 2))) (* 2 (/ 1 c))))
(* b (+ (* -3/2 (/ a (pow b 2))) (+ (* 3 (/ (+ (* -3/4 (* (pow a 2) c)) (* 3/8 (* (pow a 2) c))) (pow b 4))) (* 2 (/ 1 c)))))
(* b (+ (* -3/2 (/ a (pow b 2))) (+ (* 3 (/ (+ (* -3/4 (* a (* c (+ (* -3/4 (* (pow a 2) c)) (* 3/8 (* (pow a 2) c)))))) (+ (* -2/9 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow c 2)))) (* 9/16 (* (pow a 3) (pow c 2))))) (pow b 6))) (+ (* 3 (/ (+ (* -3/4 (* (pow a 2) c)) (* 3/8 (* (pow a 2) c))) (pow b 4))) (* 2 (/ 1 c))))))
(* 2 (/ b c))
(* b (+ (* -3/2 (/ a (pow b 2))) (* 2 (/ 1 c))))
(* b (+ (* -3/2 (/ a (pow b 2))) (+ (* -9/8 (/ (* (pow a 2) c) (pow b 4))) (* 2 (/ 1 c)))))
(* b (+ (* -3/2 (/ a (pow b 2))) (+ (* -9/8 (/ (* (pow a 2) c) (pow b 4))) (+ (* 3 (/ (* (pow c 2) (+ (* -45/32 (pow a 3)) (+ (* 9/32 (pow a 3)) (* 9/16 (pow a 3))))) (pow b 6))) (* 2 (/ 1 c))))))
(* 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 (+ (* -3/2 (/ (* a c) (pow b 2))) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* 3 (/ (* (pow c 3) (+ (* -45/32 (pow a 3)) (+ (* 9/32 (pow a 3)) (* 9/16 (pow a 3))))) (pow b 6)))))))
(* -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)
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(* -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)
(* 1/2 (/ (* a c) b))
(/ (+ (* 3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 1/2 (* a c))) b)
(/ (+ (* 3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (+ (* 1/2 (* a c)) (* 9/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))))) b)
(/ (+ (* 1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* 3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (+ (* 1/2 (* a c)) (* 9/16 (/ (* (pow a 3) (pow c 3)) (pow b 4)))))) b)
(* 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)
(* -3 (* a c))
(* -3 (* a c))
(* -3 (* a c))
(* -3 (* a c))
(/ -1/3 c)
(/ -1/3 c)
(/ -1/3 c)
(/ -1/3 c)
(* -2/3 (/ b c))
(* b (- (* 1/2 (/ a (pow b 2))) (* 2/3 (/ 1 c))))
(* b (- (+ (* 3/8 (/ (* (pow a 2) c) (pow b 4))) (* 1/2 (/ a (pow b 2)))) (* 2/3 (/ 1 c))))
(* b (- (+ (* 3/8 (/ (* (pow a 2) c) (pow b 4))) (+ (* 1/2 (/ a (pow b 2))) (* 9/16 (/ (* (pow a 3) (pow c 2)) (pow b 6))))) (* 2/3 (/ 1 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)))))
(* -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)
(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) c)
(/ (pow b 2) c)
(/ (pow b 2) c)
(/ (pow b 2) 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 a 2) (pow b 3))
(/ (pow a 2) (pow b 3))
(/ (pow a 2) (pow b 3))
(/ (pow a 2) (pow b 3))
(* -9/16 (/ (pow a 3) (pow b 5)))
(* -9/16 (/ (pow a 3) (pow b 5)))
(* -9/16 (/ (pow a 3) (pow b 5)))
(* -9/16 (/ (pow a 3) (pow b 5)))
(* -3/8 (/ (pow a 2) (pow b 3)))
(* -3/8 (/ (pow a 2) (pow b 3)))
(* -3/8 (/ (pow a 2) (pow b 3)))
(* -3/8 (/ (pow a 2) (pow b 3)))
(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)))))
(* -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)
(/ (+ (* -27/32 (/ (* (pow a 3) (pow c 4)) (pow b 6))) (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -27/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))))))) b)
(* -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)
(/ (pow b 2) c)
(/ (pow b 2) c)
(/ (pow b 2) c)
(/ (pow b 2) c)
(/ (pow b 2) c)
(* (pow b 2) (+ (* -3 (/ a (pow b 2))) (/ 1 c)))
(* (pow b 2) (+ (* -3 (/ a (pow b 2))) (/ 1 c)))
(* (pow b 2) (+ (* -3 (/ a (pow b 2))) (/ 1 c)))
(* -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)))))))
(* 3/2 (/ a b))
(* -1 (/ (+ (* -3/2 a) (* -9/8 (/ (* (pow a 2) c) (pow b 2)))) b))
(* -1 (/ (+ (* -27/16 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (+ (* -3/2 a) (* -9/8 (/ (* (pow a 2) c) (pow b 2))))) b))
(* -1 (/ (+ (* -27/16 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (+ (* -3/2 a) (+ (* -9/8 (/ (* (pow a 2) c) (pow b 2))) (* 3 (/ (+ (* -27/32 (* (pow a 4) (pow c 3))) (* -27/128 (* (pow a 4) (pow c 3)))) (pow b 6)))))) b))
(* 2 (/ b c))
(* -1 (* b (- (* 3/2 (/ a (pow b 2))) (* 2 (/ 1 c)))))
(* -1 (* b (- (+ (* 9/8 (/ (* (pow a 2) c) (pow b 4))) (* 3/2 (/ a (pow b 2)))) (* 2 (/ 1 c)))))
(* -1 (* b (- (+ (* 9/8 (/ (* (pow a 2) c) (pow b 4))) (+ (* 3/2 (/ a (pow b 2))) (* 3 (/ (* (pow c 2) (+ (* -9/16 (pow a 3)) (+ (* -9/32 (pow a 3)) (* 45/32 (pow a 3))))) (pow b 6))))) (* 2 (/ 1 c)))))
(* 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))) (* 3/2 (/ (* a c) (pow b 2)))) 2)))
(* -1 (* b (- (+ (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ (* 3/2 (/ (* a c) (pow b 2))) (* 3 (/ (* (pow c 3) (+ (* -9/16 (pow a 3)) (+ (* -9/32 (pow a 3)) (* 45/32 (pow a 3))))) (pow b 6))))) 2)))
(* -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))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(* -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)))))))
(* 2/3 b)
(* -1 (* b (- (* 1/2 (/ (* a c) (pow b 2))) 2/3)))
(* -1 (* b (- (+ (* 3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* 1/2 (/ (* a c) (pow b 2)))) 2/3)))
(* -1 (* b (- (+ (* 3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ (* 1/2 (/ (* a c) (pow b 2))) (* 9/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))))) 2/3)))
(* 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 (* a c))
(* -3 (* a c))
(* -3 (* a c))
(* -3 (* a c))
(/ -1/3 c)
(/ -1/3 c)
(/ -1/3 c)
(/ -1/3 c)
(* -1/2 (/ a b))
(* -1 (/ (+ (* 3/8 (/ (* (pow a 2) c) (pow b 2))) (* 1/2 a)) b))
(* -1 (/ (+ (* 3/8 (/ (* (pow a 2) c) (pow b 2))) (+ (* 1/2 a) (* 9/16 (/ (* (pow a 3) (pow c 2)) (pow b 4))))) b))
(* -1 (/ (+ (* 1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* (pow b 6) c))) (+ (* 3/8 (/ (* (pow a 2) c) (pow b 2))) (+ (* 1/2 a) (* 9/16 (/ (* (pow a 3) (pow c 2)) (pow b 4)))))) b))
(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)))))
(* -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))))))))
(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) c)
(/ (pow b 2) c)
(/ (pow b 2) c)
(/ (pow b 2) 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 a 2) (pow b 3))
(/ (pow a 2) (pow b 3))
(/ (pow a 2) (pow b 3))
(/ (pow a 2) (pow b 3))
(* -9/16 (/ (pow a 3) (pow b 5)))
(* -9/16 (/ (pow a 3) (pow b 5)))
(* -9/16 (/ (pow a 3) (pow b 5)))
(* -9/16 (/ (pow a 3) (pow b 5)))
(* -3/8 (/ (pow a 2) (pow b 3)))
(* -3/8 (/ (pow a 2) (pow b 3)))
(* -3/8 (/ (pow a 2) (pow b 3)))
(* -3/8 (/ (pow a 2) (pow b 3)))
(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)))))
(* -2/3 (/ b a))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))
(* -1 (* b (+ (* -3/4 (/ (* a (pow c 2)) (pow b 4))) (+ (* -1/2 (/ c (pow b 2))) (+ (* 3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))))
(* -1 (* b (+ (* -3/4 (/ (* a (* c (+ (* -3/4 (* a (pow c 2))) (* 3/8 (* a (pow c 2)))))) (pow b 6))) (+ (* -3/4 (/ (* a (pow c 2)) (pow b 4))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -2/9 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* (pow a 2) (* (pow b 6) c)))) (+ (* 3/8 (/ (* a (pow c 2)) (pow b 4))) (+ (* 9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (* 2/3 (/ 1 a))))))))))
(* -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)))))))
(/ (pow b 2) c)
(/ (pow b 2) c)
(/ (pow b 2) c)
(/ (pow b 2) c)
(/ (pow b 2) c)
(* (pow b 2) (+ (* -3 (/ a (pow b 2))) (/ 1 c)))
(* (pow b 2) (+ (* -3 (/ a (pow b 2))) (/ 1 c)))
(* (pow b 2) (+ (* -3 (/ a (pow b 2))) (/ 1 c)))
(* -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)))))))
(* 2 (/ b c))
(+ (* -3/2 (/ a b)) (* 2 (/ b c)))
(+ (* 2 (/ b c)) (* a (- (* 3 (* a (+ (* -3/4 (/ c (pow b 3))) (* 3/8 (/ c (pow b 3)))))) (* 3/2 (/ 1 b)))))
(+ (* 2 (/ b c)) (* a (- (* a (+ (* 3 (* a (+ (* -3/4 (/ (* c (+ (* -3/4 (/ c (pow b 3))) (* 3/8 (/ c (pow b 3))))) (pow b 2))) (+ (* -2/9 (/ (* b (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) (pow c 2))) (* 9/16 (/ (pow c 2) (pow b 5))))))) (* 3 (+ (* -3/4 (/ c (pow b 3))) (* 3/8 (/ c (pow b 3))))))) (* 3/2 (/ 1 b)))))
(* 2 (/ b c))
(+ (* -3/2 (/ a b)) (* 2 (/ b c)))
(+ (* 2 (/ b c)) (* a (- (* -9/8 (/ (* a c) (pow b 3))) (* 3/2 (/ 1 b)))))
(+ (* 2 (/ b c)) (* a (- (* a (+ (* -27/16 (/ (* a (pow c 2)) (pow b 5))) (* -9/8 (/ c (pow b 3))))) (* 3/2 (/ 1 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))))))))
(* -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)))))))
(* -1/2 (/ 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 a)
(/ -1 a)
(/ -1 a)
(/ -1 a)
(* 1/2 (/ (* a c) b))
(* a (+ (* 3/8 (/ (* a (pow c 2)) (pow b 3))) (* 1/2 (/ c b))))
(* a (+ (* 1/2 (/ c b)) (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 9/16 (/ (* a (pow c 3)) (pow b 5)))))))
(* a (+ (* 1/2 (/ c b)) (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* 1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)) (* 9/16 (/ (pow c 3) (pow b 5)))))))))
(* 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))))
(* -3 (* a c))
(* -3 (* a c))
(* -3 (* a c))
(* -3 (* a c))
(/ -1/3 c)
(/ -1/3 c)
(/ -1/3 c)
(/ -1/3 c)
(* -2/3 (/ b c))
(+ (* -2/3 (/ b c)) (* 1/2 (/ a b)))
(+ (* -2/3 (/ b c)) (* a (+ (* 3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))))
(+ (* -2/3 (/ b c)) (* a (+ (* a (+ (* 3/8 (/ c (pow b 3))) (* 9/16 (/ (* a (pow c 2)) (pow b 5))))) (* 1/2 (/ 1 b)))))
(pow b 2)
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(* -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))))))))
(pow b 2)
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -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))
(/ (pow a 2) (pow b 3))
(/ (pow a 2) (pow b 3))
(/ (pow a 2) (pow b 3))
(/ (pow a 2) (pow b 3))
(* -9/16 (/ (pow a 3) (pow b 5)))
(* -9/16 (/ (pow a 3) (pow b 5)))
(* -9/16 (/ (pow a 3) (pow b 5)))
(* -9/16 (/ (pow a 3) (pow b 5)))
(* -3/8 (/ (pow a 2) (pow b 3)))
(* -3/8 (/ (pow a 2) (pow b 3)))
(* -3/8 (/ (pow a 2) (pow b 3)))
(* -3/8 (/ (pow a 2) (pow b 3)))
(pow b 2)
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(* -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))) (* a (+ (* -27/32 (/ (pow c 4) (pow b 7))) (* -27/128 (/ (pow c 4) (pow b 7))))))))))
(* -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)))))))
(/ (pow b 2) c)
(+ (* -3 a) (/ (pow b 2) c))
(+ (* -3 a) (/ (pow b 2) c))
(+ (* -3 a) (/ (pow b 2) c))
(* 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))))))
(* -3 (* (sqrt (/ a c)) (/ 1 (sqrt -3))))
(+ (* -3 (* (sqrt (/ a c)) (/ 1 (sqrt -3)))) (* -3 (/ b (* c (pow (sqrt -3) 2)))))
(- (+ (* -3 (* (sqrt (/ a c)) (/ 1 (sqrt -3)))) (* -1 (/ (+ (* -3/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 3 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3))))) (pow a 2)))) (* 3 (/ b (* c (pow (sqrt -3) 2)))))
(- (+ (* -3 (* (sqrt (/ a c)) (/ 1 (sqrt -3)))) (* -1 (/ (+ (* -3/2 (/ (* (pow a 2) (pow b 3)) (* (pow c 2) (pow (sqrt -3) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -3/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 3 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3)))) (pow a 3)))) (+ (* -3/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* 3 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 3 (/ b (* c (pow (sqrt -3) 2)))))))
(* -27/16 (/ (* (pow a 3) (pow c 2)) (pow b 5)))
(* (pow a 3) (+ (* -27/16 (/ (pow c 2) (pow b 5))) (* -9/8 (/ c (* a (pow b 3))))))
(* (pow a 3) (- (+ (* -27/16 (/ (pow c 2) (pow b 5))) (* -9/8 (/ c (* a (pow b 3))))) (/ 3/2 (* (pow a 2) b))))
(* (pow a 3) (- (+ (* -27/16 (/ (pow c 2) (pow b 5))) (+ (* -9/8 (/ c (* a (pow b 3)))) (* 2 (/ b (* (pow a 3) c))))) (* 3/2 (/ 1 (* (pow a 2) b)))))
(* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 5)))
(* (pow a 3) (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -9/8 (/ (pow c 2) (* a (pow b 3))))))
(* (pow a 3) (+ (* -27/16 (/ (pow c 3) (pow b 5))) (+ (* -3/2 (/ c (* (pow a 2) b))) (* -9/8 (/ (pow c 2) (* a (pow b 3)))))))
(* (pow a 3) (+ (* -27/16 (/ (pow c 3) (pow b 5))) (+ (* -3/2 (/ c (* (pow a 2) b))) (+ (* -9/8 (/ (pow c 2) (* a (pow b 3)))) (* 2 (/ b (pow a 3)))))))
(* 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 -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 a)
(/ -1 a)
(/ -1 a)
(/ -1 a)
(* -1/3 (* (sqrt (* a c)) (sqrt -3)))
(* a (+ (* -1/3 (* (sqrt (/ c a)) (sqrt -3))) (* 1/3 (/ b a))))
(* a (+ (* -1/3 (* (sqrt (/ c a)) (sqrt -3))) (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (/ b a)))))
(* a (+ (* -1/3 (* (sqrt (/ c a)) (sqrt -3))) (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (+ (* 1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (* 1/3 (/ b a))))))
(* -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)))))
(* -3 (* a c))
(* -3 (* a c))
(* -3 (* a c))
(* -3 (* a c))
(/ -1/3 c)
(/ -1/3 c)
(/ -1/3 c)
(/ -1/3 c)
(* -1/3 (* (sqrt (/ a c)) (sqrt -3)))
(* a (+ (* -1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (* -1/3 (/ b (* a c)))))
(* a (+ (* -1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (+ (* -1/3 (/ b (* a c))) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))))))
(* a (+ (* -1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (+ (* -1/3 (/ b (* a c))) (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3))))))))
(* -3 (* a c))
(* a (+ (* -3 c) (/ (pow b 2) a)))
(* a (+ (* -3 c) (/ (pow b 2) a)))
(* a (+ (* -3 c) (/ (pow b 2) a)))
(* (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)))
(* -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))
(* a (+ (* -3 c) (/ (pow b 2) a)))
(* a (+ (* -3 c) (/ (pow b 2) a)))
(* a (+ (* -3 c) (/ (pow b 2) a)))
(/ (pow a 2) (pow b 3))
(/ (pow a 2) (pow b 3))
(/ (pow a 2) (pow b 3))
(/ (pow a 2) (pow b 3))
(* -9/16 (/ (pow a 3) (pow b 5)))
(* -9/16 (/ (pow a 3) (pow b 5)))
(* -9/16 (/ (pow a 3) (pow b 5)))
(* -9/16 (/ (pow a 3) (pow b 5)))
(* -3/8 (/ (pow a 2) (pow b 3)))
(* -3/8 (/ (pow a 2) (pow b 3)))
(* -3/8 (/ (pow a 2) (pow b 3)))
(* -3/8 (/ (pow a 2) (pow b 3)))
(* -3 (* a c))
(* a (+ (* -3 c) (/ (pow b 2) a)))
(* a (+ (* -3 c) (/ (pow b 2) a)))
(* a (+ (* -3 c) (/ (pow b 2) a)))
(* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3))))
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (/ b (pow (sqrt -3) 2))) a)
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (/ b (pow (sqrt -3) 2))))) a)
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3)))) (+ (* -1/2 (/ (pow b 3) (* a (* c (pow (sqrt -3) 4))))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (/ b (pow (sqrt -3) 2))))))) a)
(* 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))))))
(* -3 a)
(* a (- (/ (pow b 2) (* a c)) 3))
(* a (- (/ (pow b 2) (* a c)) 3))
(* a (- (/ (pow b 2) (* a c)) 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)))))
(* 3 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3))))
(+ (* 3 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3)))) (* 3 (/ b (* c (pow (sqrt 3) 2)))))
(+ (* -1 (/ (- (+ (* -3 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3/2 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) (* 3 (/ (* a b) (* c (pow (sqrt 3) 2))))) a)) (* 3 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3)))))
(+ (* -1 (/ (- (* -1 (/ (- (+ (* 3/2 (/ (* a (pow b 3)) (* (pow c 2) (pow (sqrt 3) 4)))) (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (+ (* -3 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (+ (* -3 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) a)) (* 3 (/ (* a b) (* c (pow (sqrt 3) 2))))) a)) (* 3 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3)))))
(* -27/16 (/ (* (pow a 3) (pow c 2)) (pow b 5)))
(* -1 (* (pow a 3) (+ (* 9/8 (/ c (* a (pow b 3)))) (* 27/16 (/ (pow c 2) (pow b 5))))))
(* -1 (* (pow a 3) (+ (* -1 (/ (- (* -9/8 (/ c (pow b 3))) (* 3/2 (/ 1 (* a b)))) a)) (* 27/16 (/ (pow c 2) (pow b 5))))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -9/8 (/ c (pow b 3))) (* -1 (/ (+ (* -2 (/ b (* a c))) (* 3/2 (/ 1 b))) a))) a)) (* 27/16 (/ (pow c 2) (pow b 5))))))
(* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 5)))
(* -1 (* (pow a 3) (+ (* 9/8 (/ (pow c 2) (* a (pow b 3)))) (* 27/16 (/ (pow c 3) (pow b 5))))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -3/2 (/ c (* a b))) (* -9/8 (/ (pow c 2) (pow b 3)))) a)) (* 27/16 (/ (pow c 3) (pow b 5))))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* -1 (/ (+ (* -2 (/ b a)) (* 3/2 (/ c b))) a))) a)) (* 27/16 (/ (pow c 3) (pow b 5))))))
(* -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)))))
(* -1/3 (* (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 a)
(/ -1 a)
(/ -1 a)
(/ -1 a)
(* 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 (/ (+ (* 1/6 (* (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 (/ (+ (* -1/6 (* (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)))))))
(* (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 (* a c))
(* -3 (* a c))
(* -3 (* a c))
(* -3 (* a c))
(/ -1/3 c)
(/ -1/3 c)
(/ -1/3 c)
(/ -1/3 c)
(* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* a (+ (* -1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c))))))
(* -1 (* a (+ (* -1 (/ (+ (* -1/3 (/ b c)) (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* -1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* -1/3 (/ b c))) a)) (* -1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(* -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))))
(* -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 (* 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))))
(* -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 a 2) (pow b 3))
(/ (pow a 2) (pow b 3))
(/ (pow a 2) (pow b 3))
(/ (pow a 2) (pow b 3))
(* -9/16 (/ (pow a 3) (pow b 5)))
(* -9/16 (/ (pow a 3) (pow b 5)))
(* -9/16 (/ (pow a 3) (pow b 5)))
(* -9/16 (/ (pow a 3) (pow b 5)))
(* -3/8 (/ (pow a 2) (pow b 3)))
(* -3/8 (/ (pow a 2) (pow b 3)))
(* -3/8 (/ (pow a 2) (pow b 3)))
(* -3/8 (/ (pow a 2) (pow b 3)))
(* -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))))
(* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (/ b (pow (sqrt 3) 2))) a))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -1 (/ (* a b) (pow (sqrt 3) 2))) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) a))) a))) a))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -1 (/ (* a b) (pow (sqrt 3) 2))) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (* -1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt 3) 4))))) a)) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) a))) a))) a))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))
(+ (* -1 (/ (+ (* 1/6 (* (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)))))
(* -3 a)
(* -1 (* a (+ 3 (* -1 (/ (pow b 2) (* a c))))))
(* -1 (* a (+ 3 (* -1 (/ (pow b 2) (* a c))))))
(* -1 (* a (+ 3 (* -1 (/ (pow b 2) (* a c))))))
Outputs
(* -1/2 (/ c b))
(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(*.f64 (fma.f64 (*.f64 a (/.f64 c (pow.f64 b #s(literal 3 binary64)))) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) b)) c)
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(*.f64 (fma.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 #s(literal -1/2 binary64) b)) c)
(* 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 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/6 binary64) b) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) c) a) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)
(* 2 (/ b c))
(*.f64 (/.f64 b c) #s(literal 2 binary64))
(/ (+ (* -3/2 (/ (* a c) b)) (* 2 b)) c)
(/.f64 (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64) (*.f64 #s(literal 2 binary64) b)) c)
(/ (+ (* 2 b) (* c (+ (* -3/2 (/ a b)) (* 3 (* c (+ (* -3/4 (/ (pow a 2) (pow b 3))) (* 3/8 (/ (pow a 2) (pow b 3))))))))) c)
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 3 binary64) c) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a a)) (pow.f64 b #s(literal 3 binary64))) (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c (*.f64 #s(literal 2 binary64) b)) c)
(/ (+ (* 2 b) (* c (+ (* -3/2 (/ a b)) (* c (+ (* 3 (* c (+ (* -3/4 (/ (* a (+ (* -3/4 (/ (pow a 2) (pow b 3))) (* 3/8 (/ (pow a 2) (pow b 3))))) (pow b 2))) (+ (* -2/9 (/ (* b (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) a)) (* 9/16 (/ (pow a 3) (pow b 5))))))) (* 3 (+ (* -3/4 (/ (pow a 2) (pow b 3))) (* 3/8 (/ (pow a 2) (pow b 3)))))))))) c)
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (fma.f64 (fma.f64 (/.f64 #s(literal -3/4 binary64) b) (/.f64 (*.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a a)) (pow.f64 b #s(literal 3 binary64))) a) b) (fma.f64 (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) a)) #s(literal -2/9 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 9/16 binary64)) (pow.f64 b #s(literal 5 binary64))))) c (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a a)) (pow.f64 b #s(literal 3 binary64))))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c (*.f64 #s(literal 2 binary64) b)) c)
(* 2 (/ b c))
(*.f64 (/.f64 b c) #s(literal 2 binary64))
(/ (+ (* -3/2 (/ (* a c) b)) (* 2 b)) c)
(/.f64 (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64) (*.f64 #s(literal 2 binary64) b)) c)
(/ (+ (* 2 b) (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))) c)
(/.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 3 binary64)))) #s(literal -9/8 binary64) (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c (*.f64 #s(literal 2 binary64) b)) c)
(/ (+ (* 2 b) (* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* 3 (* c (+ (* -45/32 (/ (pow a 3) (pow b 5))) (+ (* 9/32 (/ (pow a 3) (pow b 5))) (* 9/16 (/ (pow a 3) (pow b 5)))))))))))) c)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 3 binary64) c) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c (*.f64 #s(literal 2 binary64) b)) c)
(* 2 b)
(*.f64 #s(literal 2 binary64) b)
(+ (* -3/2 (/ (* a c) b)) (* 2 b))
(fma.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64) (*.f64 #s(literal 2 binary64) b))
(+ (* 2 b) (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))))
(fma.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 3 binary64)))) #s(literal -9/8 binary64) (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c (*.f64 #s(literal 2 binary64) b))
(+ (* 2 b) (* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* 3 (* c (+ (* -45/32 (/ (pow a 3) (pow b 5))) (+ (* 9/32 (/ (pow a 3) (pow b 5))) (* 9/16 (/ (pow a 3) (pow b 5))))))))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 3 binary64) c) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c (*.f64 #s(literal 2 binary64) b))
(* -1/2 (/ c b))
(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(*.f64 (fma.f64 (*.f64 a (/.f64 c (pow.f64 b #s(literal 3 binary64)))) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) b)) c)
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(*.f64 (fma.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 #s(literal -1/2 binary64) b)) c)
(* 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 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/6 binary64) b) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) c) a) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)
(* -1/2 (/ c b))
(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
(* -1/2 (/ c b))
(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
(* -1/2 (/ c b))
(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
(* -1/2 (/ c b))
(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
(/ b c)
(/.f64 b c)
(/ b c)
(/.f64 b c)
(/ b c)
(/.f64 b c)
(/ b c)
(/.f64 b c)
(* -1/2 (/ c b))
(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(*.f64 (fma.f64 (*.f64 a (/.f64 c (pow.f64 b #s(literal 3 binary64)))) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) b)) c)
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(*.f64 (fma.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 #s(literal -1/2 binary64) b)) c)
(* 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 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/6 binary64) b) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) c) a) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)
(* 1/2 (/ (* a c) b))
(*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64))
(* c (+ (* 3/8 (/ (* (pow a 2) c) (pow b 3))) (* 1/2 (/ a b))))
(*.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 3 binary64)))) #s(literal 3/8 binary64) (*.f64 (/.f64 a b) #s(literal 1/2 binary64))) c)
(* c (+ (* 1/2 (/ a b)) (* c (+ (* 3/8 (/ (pow a 2) (pow b 3))) (* 9/16 (/ (* (pow a 3) c) (pow b 5)))))))
(*.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal 9/16 binary64) (/.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 a a)) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 (/.f64 a b) #s(literal 1/2 binary64))) c)
(* c (+ (* 1/2 (/ a b)) (* c (+ (* 3/8 (/ (pow a 2) (pow b 3))) (* c (+ (* 1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)) (* 9/16 (/ (pow a 3) (pow b 5)))))))))
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(*.f64 (neg.f64 a) (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) b) (neg.f64 a)) (*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64)))))
(* -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))))))
(*.f64 (neg.f64 a) (-.f64 (/.f64 (-.f64 b (/.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64))) (*.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (/.f64 a c))) #s(literal -1/2 binary64))) a)) (neg.f64 a)) (*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64)))))
(* -3 (* a c))
(*.f64 #s(literal -3 binary64) (*.f64 a c))
(* -3 (* a c))
(*.f64 #s(literal -3 binary64) (*.f64 a c))
(* -3 (* a c))
(*.f64 #s(literal -3 binary64) (*.f64 a c))
(* -3 (* a c))
(*.f64 #s(literal -3 binary64) (*.f64 a c))
(/ -1/3 c)
(/.f64 #s(literal -1/3 binary64) c)
(/ -1/3 c)
(/.f64 #s(literal -1/3 binary64) c)
(/ -1/3 c)
(/.f64 #s(literal -1/3 binary64) c)
(/ -1/3 c)
(/.f64 #s(literal -1/3 binary64) c)
(* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))
(*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 a c))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* a (+ (* -1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c))))))
(*.f64 (neg.f64 a) (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (/.f64 b (*.f64 a c)) #s(literal 1/3 binary64))))
(* -1 (* a (+ (* -1 (/ (+ (* -1/3 (/ b c)) (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* -1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(*.f64 (neg.f64 a) (-.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (*.f64 #s(literal -1/3 binary64) (/.f64 b c))) a)))
(* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* -1/3 (/ b c))) a)) (* -1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(*.f64 (neg.f64 a) (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 b c) (/.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) a)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 a (pow.f64 c #s(literal 3 binary64))))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))))) (neg.f64 a))) (neg.f64 a))))
(* -3 (* a c))
(*.f64 #s(literal -3 binary64) (*.f64 a c))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))
(*.f64 (neg.f64 a) (fma.f64 #s(literal 3 binary64) c (/.f64 (*.f64 b b) (neg.f64 a))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))
(*.f64 (neg.f64 a) (fma.f64 #s(literal 3 binary64) c (/.f64 (*.f64 b b) (neg.f64 a))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))
(*.f64 (neg.f64 a) (fma.f64 #s(literal 3 binary64) c (/.f64 (*.f64 b b) (neg.f64 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 (neg.f64 a) (fma.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (/.f64 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))))))
(*.f64 (neg.f64 a) (fma.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (neg.f64 b)) (neg.f64 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 (neg.f64 a) (fma.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64)) (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 a c))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64))))) (neg.f64 a)) b) (neg.f64 a))))
(* -3 (* a c))
(*.f64 #s(literal -3 binary64) (*.f64 a c))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))
(*.f64 (neg.f64 a) (fma.f64 #s(literal 3 binary64) c (/.f64 (*.f64 b b) (neg.f64 a))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))
(*.f64 (neg.f64 a) (fma.f64 #s(literal 3 binary64) c (/.f64 (*.f64 b b) (neg.f64 a))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))
(*.f64 (neg.f64 a) (fma.f64 #s(literal 3 binary64) c (/.f64 (*.f64 b b) (neg.f64 a))))
(* -3 (* a c))
(*.f64 #s(literal -3 binary64) (*.f64 a c))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))
(*.f64 (neg.f64 a) (fma.f64 #s(literal 3 binary64) c (/.f64 (*.f64 b b) (neg.f64 a))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))
(*.f64 (neg.f64 a) (fma.f64 #s(literal 3 binary64) c (/.f64 (*.f64 b b) (neg.f64 a))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))
(*.f64 (neg.f64 a) (fma.f64 #s(literal 3 binary64) c (/.f64 (*.f64 b b) (neg.f64 a))))
(/ (pow a 2) (pow b 3))
(/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64)))
(/ (pow a 2) (pow b 3))
(/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64)))
(/ (pow a 2) (pow b 3))
(/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64)))
(/ (pow a 2) (pow b 3))
(/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64)))
(* -9/16 (/ (pow a 3) (pow b 5)))
(/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))
(* -9/16 (/ (pow a 3) (pow b 5)))
(/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))
(* -9/16 (/ (pow a 3) (pow b 5)))
(/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))
(* -9/16 (/ (pow a 3) (pow b 5)))
(/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))
(* -3/8 (/ (pow a 2) (pow b 3)))
(/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a a)) (pow.f64 b #s(literal 3 binary64)))
(* -3/8 (/ (pow a 2) (pow b 3)))
(/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a a)) (pow.f64 b #s(literal 3 binary64)))
(* -3/8 (/ (pow a 2) (pow b 3)))
(/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a a)) (pow.f64 b #s(literal 3 binary64)))
(* -3/8 (/ (pow a 2) (pow b 3)))
(/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a a)) (pow.f64 b #s(literal 3 binary64)))
(* -3 (* a c))
(*.f64 #s(literal -3 binary64) (*.f64 a c))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))
(*.f64 (neg.f64 a) (fma.f64 #s(literal 3 binary64) c (/.f64 (*.f64 b b) (neg.f64 a))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))
(*.f64 (neg.f64 a) (fma.f64 #s(literal 3 binary64) c (/.f64 (*.f64 b b) (neg.f64 a))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))
(*.f64 (neg.f64 a) (fma.f64 #s(literal 3 binary64) c (/.f64 (*.f64 b b) (neg.f64 a))))
(* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))
(*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (/.f64 c a)))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (/ b (pow (sqrt 3) 2))) a))
(/.f64 (fma.f64 (neg.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (*.f64 a c)) (/.f64 b #s(literal 3 binary64))) (neg.f64 a))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -1 (/ (* a b) (pow (sqrt 3) 2))) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) a))) a))) a))
(/.f64 (neg.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (*.f64 a c)) (/.f64 (-.f64 (/.f64 (*.f64 a b) #s(literal -3 binary64)) (/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) c)) (*.f64 (/.f64 (*.f64 b b) #s(literal 3 binary64)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))))) #s(literal -1/2 binary64)) a)) a))) (neg.f64 a))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -1 (/ (* a b) (pow (sqrt 3) 2))) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (* -1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt 3) 4))))) a)) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) a))) a))) a))
(/.f64 (neg.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (*.f64 a c)) (/.f64 (-.f64 (/.f64 (*.f64 a b) #s(literal -3 binary64)) (/.f64 (fma.f64 (neg.f64 (*.f64 (/.f64 (*.f64 b b) #s(literal 3 binary64)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (sqrt.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) c)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 (/.f64 (*.f64 b b) #s(literal 3 binary64)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))) (/.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 a c))) (/.f64 (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) c)) (*.f64 (/.f64 (*.f64 b b) #s(literal 3 binary64)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))))) #s(literal -1/2 binary64))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (/.f64 #s(literal -1/2 binary64) c) (/.f64 (*.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 4 binary64))))) (neg.f64 a)))) a)) a))) (neg.f64 a))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))))
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))
(*.f64 #s(literal -1/3 binary64) (fma.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (/.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 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (/.f64 (*.f64 (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)))))
(fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 #s(literal 1/3 binary64) b (/.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 a c))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))))) (neg.f64 a))) (neg.f64 a)))
(* -3 a)
(*.f64 #s(literal -3 binary64) a)
(* -1 (* a (+ 3 (* -1 (/ (pow b 2) (* a c))))))
(*.f64 (neg.f64 a) (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 (*.f64 b b) a) c)))
(* -1 (* a (+ 3 (* -1 (/ (pow b 2) (* a c))))))
(*.f64 (neg.f64 a) (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 (*.f64 b b) a) c)))
(* -1 (* a (+ 3 (* -1 (/ (pow b 2) (* a c))))))
(*.f64 (neg.f64 a) (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 (*.f64 b b) a) c)))

rewrite274.0ms (2.5%)

Memory
-20.8MiB live, 253.0MiB allocated
Rules
5 116×lower-*.f32
5 086×lower-*.f64
5 014×lower-fma.f32
5 000×lower-fma.f64
2 260×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0111696
0165696
1637632
25260632
08246622
Stop Event
iter limit
node limit
iter limit
Counts
27 → 701
Calls
Call 1
Inputs
(/.f64 #s(literal -1 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (* -3 a)) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (fma.f64 #s(approx (+ (* (/ -3/4 b) (/ (* (* (/ (* a a) (pow b 3)) -3/8) a) b)) (+ (* (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) a)) -2/9) (/ (* 9/16 (pow a 3)) (pow b 5)))) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c (*.f64 b #s(literal 2 binary64))) c)))
#s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (* -3 a)) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (fma.f64 #s(approx (+ (* (/ -3/4 b) (/ (* (* (/ (* a a) (pow b 3)) -3/8) a) b)) (+ (* (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) a)) -2/9) (/ (* 9/16 (pow a 3)) (pow b 5)))) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c (*.f64 b #s(literal 2 binary64))) c))
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (fma.f64 #s(approx (+ (* (/ -3/4 b) (/ (* (* (/ (* a a) (pow b 3)) -3/8) a) b)) (+ (* (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) a)) -2/9) (/ (* 9/16 (pow a 3)) (pow b 5)))) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c (*.f64 b #s(literal 2 binary64))) c)
(fma.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (fma.f64 #s(approx (+ (* (/ -3/4 b) (/ (* (* (/ (* a a) (pow b 3)) -3/8) a) b)) (+ (* (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) a)) -2/9) (/ (* 9/16 (pow a 3)) (pow b 5)))) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c (*.f64 b #s(literal 2 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c)))
(/.f64 #s(literal -1/2 binary64) (/.f64 b c))
(/.f64 b c)
(*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 1/3 binary64)))
(/.f64 #s(literal -1 binary64) a)
(*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 1/3 binary64))
(-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))
(-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) (*.f64 b b))
(/.f64 a (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) (*.f64 b b)))
(*.f64 (/.f64 a (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b))
(fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))
(fma.f64 (pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (/.f64 #s(literal 1 binary64) (/.f64 c (*.f64 b b)))) c)) #s(literal 1/4 binary64)) (pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 (/.f64 b c) b)) c)) #s(literal 1/4 binary64)) (neg.f64 b))
(*.f64 (fma.f64 #s(literal -3 binary64) a (/.f64 #s(literal 1 binary64) (/.f64 c (*.f64 b b)))) c)
(/.f64 #s(literal 1 binary64) (/.f64 c (*.f64 b b)))
(*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 (/.f64 b c) b)) c)
(/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64)))
(/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))
(*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))
(/.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 a (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b)))
(/.f64 (fma.f64 (pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (/.f64 #s(literal 1 binary64) (/.f64 c (*.f64 b b)))) c)) #s(literal 1/4 binary64)) (pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 (/.f64 b c) b)) c)) #s(literal 1/4 binary64)) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a))
(*.f64 (/.f64 b c) b)
(fma.f64 #s(literal -3 binary64) a (*.f64 (/.f64 b c) b))
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eval467.0ms (4.2%)

Memory
2.8MiB live, 452.5MiB allocated
Compiler

Compiled 56 496 to 5 752 computations (89.8% saved)

prune259.0ms (2.3%)

Memory
4.2MiB live, 569.9MiB allocated
Pruning

41 alts after pruning (36 fresh and 5 done)

PrunedKeptTotal
New1 687171 704
Fresh581977
Picked325
Done033
Total1 748411 789
Accuracy
100.0%
Counts
1 789 → 41
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.2%
(/.f64 (/.f64 #s(literal 1/3 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) b)) (/.f64 a (fma.f64 (*.f64 a #s(literal -3 binary64)) c #s(literal 0 binary64))))
51.8%
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) b) (*.f64 #s(literal 3 binary64) a))
52.0%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
51.8%
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) b) #s(literal 1/3 binary64)) a)
99.1%
(/.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c #s(literal 0 binary64)) a)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) b))
66.4%
(/.f64 #s(approx (+ (* (pow (- (* b b) (* (* 3 a) c)) 1/4) (pow (- (* b b) (* (* 3 a) c)) 1/4)) (neg b)) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) (*.f64 #s(literal 3 binary64) a))
66.3%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 #s(approx (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) (*.f64 #s(literal -3/2 binary64) (*.f64 a c))) b)) (*.f64 #s(literal 3 binary64) a))
66.4%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 c b) #s(literal -3/2 binary64)) a)) (*.f64 #s(literal 3 binary64) a))
51.8%
(/.f64 #s(literal 1/3 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
66.4%
(/.f64 #s(literal 1/3 binary64) (/.f64 a #s(approx (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b))))))
99.0%
(/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c #s(literal 0 binary64)) (*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) b) a))))
99.2%
(/.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 a (fma.f64 (*.f64 a #s(literal -3 binary64)) c #s(literal 0 binary64))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) b)))
99.1%
(/.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 a #s(approx (- (+ (* (* -3 a) c) (* b b)) (* b b)) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b)))
99.3%
(/.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (/ a (- (+ (* (* -3 a) c) (* b b)) (* b b))) (/.f64 #s(literal -1/3 binary64) c)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b)))
88.8%
(/.f64 #s(literal 1/3 binary64) #s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (fma.f64 (fma.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) #s(literal 3/8 binary64)) a (/.f64 #s(literal 1/2 binary64) b)) a (*.f64 (/.f64 b c) #s(literal -2/3 binary64)))))
83.0%
(/.f64 #s(literal 1/3 binary64) #s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (fma.f64 (/.f64 a b) #s(literal 1/2 binary64) (*.f64 (/.f64 b c) #s(literal -2/3 binary64)))))
83.0%
(/.f64 #s(literal 1/3 binary64) #s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (*.f64 (fma.f64 (/.f64 a (*.f64 b b)) #s(literal 1/2 binary64) (/.f64 #s(literal -2/3 binary64) c)) b)))
66.4%
(/.f64 #s(literal 1/3 binary64) #s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (*.f64 (/.f64 b c) #s(literal -2/3 binary64))))
83.1%
(/.f64 #s(literal 1/3 binary64) #s(approx (* (/ a (- (+ (* (* -3 a) c) (* b b)) (* b b))) (+ (sqrt (+ (* (* -3 a) c) (* b b))) b)) (fma.f64 #s(literal -2/3 binary64) (/.f64 b c) (*.f64 (/.f64 a b) #s(literal 1/2 binary64)))))
83.1%
(/.f64 #s(literal 1/3 binary64) #s(approx (* (/ a (- (+ (* (* -3 a) c) (* b b)) (* b b))) (+ (sqrt (+ (* (* -3 a) c) (* b b))) b)) (/.f64 (fma.f64 #s(literal -2/3 binary64) b (*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64))) c)))
66.3%
(/.f64 #s(literal -1 binary64) (*.f64 #s(approx (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (*.f64 (/.f64 b (*.f64 a c)) #s(literal -2/3 binary64))) (*.f64 #s(literal -3 binary64) a)))
83.1%
(/.f64 #s(literal -1 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (* -3 a)) (fma.f64 (/.f64 b c) #s(literal 2 binary64) (*.f64 (/.f64 a b) #s(literal -3/2 binary64)))))
83.1%
(/.f64 #s(literal -1 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (* -3 a)) (/.f64 (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64) (*.f64 b #s(literal 2 binary64))) c)))
83.1%
(/.f64 #s(literal -1 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (* -3 a)) (*.f64 (fma.f64 (/.f64 a (*.f64 b b)) #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) c)) b)))
91.9%
(/.f64 #s(literal -1 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (* -3 a)) #s(approx (/ (+ (* (+ (* (* 3 (+ (* (+ (* (/ -3/4 b) (/ (* (* (/ (* a a) (pow b 3)) -3/8) a) b)) (+ (* (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) a)) -2/9) (/ (* 9/16 (pow a 3)) (pow b 5)))) c) (* (/ (* a a) (pow b 3)) -3/8))) c) (* (/ a b) -3/2)) c) (* b 2)) c) (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 5 binary64))) #s(literal -27/16 binary64) (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) #s(literal -9/8 binary64))) a (/.f64 #s(literal -3/2 binary64) b)) a (*.f64 (/.f64 b c) #s(literal 2 binary64))))))
99.0%
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) b) #s(literal -1 binary64)) (*.f64 #s(literal 1/3 binary64) (/.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c #s(literal 0 binary64)) a)))
99.0%
(*.f64 (/.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c #s(literal 0 binary64)) a) (pow.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) b) #s(literal 1/3 binary64)) #s(literal -1 binary64)))
51.8%
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 1/3 binary64))
99.1%
(*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) b) a)) (fma.f64 (*.f64 a #s(literal -3 binary64)) c #s(literal 0 binary64)))
51.8%
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) b))
51.9%
(*.f64 (/.f64 #s(literal -1 binary64) a) (fma.f64 b #s(literal 1/3 binary64) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) #s(literal 1/3 binary64))))
51.8%
(*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 1/3 binary64)))
66.4%
(*.f64 (/.f64 #s(literal -1 binary64) a) #s(approx (* (- b (sqrt (+ (* (* -3 c) a) (* b b)))) 1/3) (*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64))))
51.8%
(*.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) (/.f64 #s(literal -1 binary64) a)) #s(literal 1/3 binary64))
82.5%
#s(approx (/ (+ (* (pow (- (* b b) (* (* 3 a) c)) 1/4) (pow (- (* b b) (* (* 3 a) c)) 1/4)) (neg b)) (* 3 a)) (/.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (/.f64 (*.f64 (*.f64 c c) a) b) (*.f64 c #s(literal -1/2 binary64))) b))
11.4%
#s(approx (/ (+ (* (pow (- (* b b) (* (* 3 a) c)) 1/4) (pow (- (* b b) (* (* 3 a) c)) 1/4)) (neg b)) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))))
82.5%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64)) c)) b))
66.5%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c)))
66.5%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 c b))))
66.5%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
66.5%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b)))
Compiler

Compiled 5 242 to 1 432 computations (72.7% saved)

regimes249.0ms (2.2%)

Memory
23.8MiB live, 370.1MiB allocated
Counts
162 → 1
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c)))
(/.f64 #s(literal 1/3 binary64) #s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (*.f64 (/.f64 b c) #s(literal -2/3 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 c b))))
(*.f64 (/.f64 #s(literal -1 binary64) a) #s(approx (* (- b (sqrt (+ (* (* -3 c) a) (* b b)))) 1/3) (*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64))))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 c b) #s(literal -3/2 binary64)) a)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 #s(approx (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) (*.f64 #s(literal -3/2 binary64) (*.f64 a c))) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (* (pow (- (* b b) (* (* 3 a) c)) 1/4) (pow (- (* b b) (* (* 3 a) c)) 1/4)) (neg b)) (*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (* (pow (- (* b b) (* (* 3 a) c)) 1/4) (pow (- (* b b) (* (* 3 a) c)) 1/4)) (neg b)) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))))
#s(approx (/ (+ (* (pow (- (* b b) (* (* 3 a) c)) 1/4) (pow (- (* b b) (* (* 3 a) c)) 1/4)) (neg b)) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))))
(/.f64 #s(literal -1 binary64) (*.f64 #s(approx (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (*.f64 (/.f64 b (*.f64 a c)) #s(literal -2/3 binary64))) (*.f64 #s(literal -3 binary64) a)))
(/.f64 #s(literal 1/3 binary64) (/.f64 a #s(approx (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b))))))
(/.f64 #s(literal -1 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (* -3 a)) (fma.f64 (/.f64 b c) #s(literal 2 binary64) (*.f64 (/.f64 a b) #s(literal -3/2 binary64)))))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (/ a (- (+ (* (* -3 a) c) (* b b)) (* b b))) (+ (sqrt (+ (* (* -3 a) c) (* b b))) b)) (fma.f64 #s(literal -2/3 binary64) (/.f64 b c) (*.f64 (/.f64 a b) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1/3 binary64) #s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (fma.f64 (/.f64 a b) #s(literal 1/2 binary64) (*.f64 (/.f64 b c) #s(literal -2/3 binary64)))))
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) b))
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 1/3 binary64))
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a)
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) b) #s(literal 1/3 binary64)) a)
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64)))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) b) (*.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64)) c)) b))
(/.f64 #s(literal -1 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (* -3 a)) (*.f64 (fma.f64 (/.f64 a (*.f64 b b)) #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) c)) b)))
(/.f64 #s(literal -1 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (* -3 a)) (/.f64 (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64) (*.f64 b #s(literal 2 binary64))) c)))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (/ a (- (+ (* (* -3 a) c) (* b b)) (* b b))) (+ (sqrt (+ (* (* -3 a) c) (* b b))) b)) (/.f64 (fma.f64 #s(literal -2/3 binary64) b (*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64))) c)))
(/.f64 #s(literal 1/3 binary64) #s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (*.f64 (fma.f64 (/.f64 a (*.f64 b b)) #s(literal 1/2 binary64) (/.f64 #s(literal -2/3 binary64) c)) b)))
(/.f64 #s(literal 1/3 binary64) #s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (/.f64 (fma.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64) (*.f64 #s(literal -2/3 binary64) b)) 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))
(*.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) (/.f64 #s(literal -1 binary64) a)) #s(literal 1/3 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 1/3 binary64)))
(/.f64 #s(literal 1/3 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)) b))
#s(approx (/ (+ (* (pow (- (* b b) (* (* 3 a) c)) 1/4) (pow (- (* b b) (* (* 3 a) c)) 1/4)) (neg b)) (* 3 a)) (/.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (/.f64 (*.f64 (*.f64 c c) a) b) (*.f64 c #s(literal -1/2 binary64))) b))
(*.f64 (/.f64 #s(literal -1 binary64) a) (fma.f64 b #s(literal 1/3 binary64) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) #s(literal 1/3 binary64))))
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 (/.f64 b c) b (*.f64 #s(literal -3 binary64) a)) c))) b))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) b)) a))
(/.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (/ a (- (+ (* (* -3 a) c) (* b b)) (* b b))) (/.f64 #s(literal -1/3 binary64) c)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b)) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) b) #s(literal 1/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 3 binary64)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
(/.f64 (*.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 (/.f64 b c) b)) c))) b) #s(literal 1/3 binary64)) a)
(/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 (/.f64 b c) b)) c))) b) (*.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 b (/.f64 b c))) c)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (*.f64 b (/.f64 b a))) a)))) (*.f64 #s(literal 3 binary64) a))
(*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) b) a)) (fma.f64 (*.f64 a #s(literal -3 binary64)) c #s(literal 0 binary64)))
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (/.f64 b (*.f64 a #s(literal 3 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 #s(approx (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) (*.f64 a c))) b)) (*.f64 #s(literal -3 binary64) a)))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) b)) (*.f64 #s(literal -3 binary64) a)))
(fma.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (neg.f64 b)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a)))
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) b))) a)
(+.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (neg.f64 b)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 (*.f64 (/.f64 b c) b) c))))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (/.f64 b (/.f64 c b))) c)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(literal -1 binary64) (*.f64 #s(approx (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (/.f64 (fma.f64 (/.f64 b a) #s(literal -2/3 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))) c)) (*.f64 #s(literal -3 binary64) a)))
(/.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 a #s(approx (- (+ (* (* -3 a) c) (* b b)) (* b b)) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b)))
(/.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 a (fma.f64 (*.f64 a #s(literal -3 binary64)) c #s(literal 0 binary64))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) b)))
(/.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c #s(literal 0 binary64)) a)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) b))
(-.f64 (/.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 (/.f64 b c) b (*.f64 #s(literal -3 binary64) a)) c))) (*.f64 #s(literal 3 binary64) a)) (/.f64 b (*.f64 #s(literal 3 binary64) a)))
(/.f64 (/.f64 #s(literal 1/3 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) b)) (/.f64 a (fma.f64 (*.f64 a #s(literal -3 binary64)) c #s(literal 0 binary64))))
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) (*.f64 b b))) (*.f64 a (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 (*.f64 c a) b) b) #s(literal -3 binary64) #s(literal 1 binary64)) b) b)))) (*.f64 #s(literal 3 binary64) a))
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(/.f64 #s(literal -1 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (* -3 a)) (fma.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (fma.f64 (fma.f64 (/.f64 #s(literal -3/4 binary64) b) (/.f64 (*.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) c) b) (fma.f64 (/.f64 #s(literal -2/9 binary64) c) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) b) c) (/.f64 (*.f64 #s(literal 9/16 binary64) (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))))) a (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)))) a (/.f64 #s(literal -3/2 binary64) b)) a (*.f64 (/.f64 b c) #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (*.f64 #s(approx (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 (fma.f64 (*.f64 #s(literal -3/4 binary64) a) (*.f64 (*.f64 (*.f64 a c) #s(literal -3/8 binary64)) c) (fma.f64 (*.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a)) (/.f64 #s(literal 405/64 binary64) (*.f64 c c))) #s(literal -2/9 binary64) (*.f64 (*.f64 #s(literal 9/16 binary64) (*.f64 a a)) (*.f64 c c)))) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (*.f64 a (/.f64 c (pow.f64 b #s(literal 4 binary64)))) #s(literal -3/4 binary64) (fma.f64 (*.f64 a (/.f64 c (pow.f64 b #s(literal 4 binary64)))) #s(literal 3/8 binary64) (/.f64 #s(literal 2/3 binary64) (*.f64 a c))))) b)) (*.f64 #s(literal -3 binary64) a)))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -27/16 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 c c) b) (fma.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64)))) #s(literal -1/2 binary64) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))))) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(literal -1 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (* -3 a)) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (fma.f64 (fma.f64 (/.f64 #s(literal -3/4 binary64) b) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) a) b) (fma.f64 (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) a)) #s(literal -2/9 binary64) (/.f64 (*.f64 #s(literal 9/16 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64))))) c (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c (*.f64 b #s(literal 2 binary64))) c)))
Outputs
(/.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (/ a (- (+ (* (* -3 a) c) (* b b)) (* b b))) (/.f64 #s(literal -1/3 binary64) c)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b)))
Calls

5 calls:

66.0ms
a
45.0ms
(/.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))
45.0ms
c
44.0ms
(*.f64 #s(literal 3 binary64) a)
41.0ms
b
Results
AccuracySegmentsBranch
99.3%1a
99.3%1b
99.3%1c
99.3%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))
99.3%1(*.f64 #s(literal 3 binary64) a)
Compiler

Compiled 23 to 26 computations (-13% saved)

regimes83.0ms (0.7%)

Memory
-7.8MiB live, 111.8MiB allocated
Counts
42 → 2
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c)))
(/.f64 #s(literal 1/3 binary64) #s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (*.f64 (/.f64 b c) #s(literal -2/3 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 c b))))
(*.f64 (/.f64 #s(literal -1 binary64) a) #s(approx (* (- b (sqrt (+ (* (* -3 c) a) (* b b)))) 1/3) (*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64))))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 c b) #s(literal -3/2 binary64)) a)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 #s(approx (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) (*.f64 #s(literal -3/2 binary64) (*.f64 a c))) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (* (pow (- (* b b) (* (* 3 a) c)) 1/4) (pow (- (* b b) (* (* 3 a) c)) 1/4)) (neg b)) (*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (* (pow (- (* b b) (* (* 3 a) c)) 1/4) (pow (- (* b b) (* (* 3 a) c)) 1/4)) (neg b)) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))))
#s(approx (/ (+ (* (pow (- (* b b) (* (* 3 a) c)) 1/4) (pow (- (* b b) (* (* 3 a) c)) 1/4)) (neg b)) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))))
(/.f64 #s(literal -1 binary64) (*.f64 #s(approx (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (*.f64 (/.f64 b (*.f64 a c)) #s(literal -2/3 binary64))) (*.f64 #s(literal -3 binary64) a)))
(/.f64 #s(literal 1/3 binary64) (/.f64 a #s(approx (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b))))))
(/.f64 #s(literal -1 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (* -3 a)) (fma.f64 (/.f64 b c) #s(literal 2 binary64) (*.f64 (/.f64 a b) #s(literal -3/2 binary64)))))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (/ a (- (+ (* (* -3 a) c) (* b b)) (* b b))) (+ (sqrt (+ (* (* -3 a) c) (* b b))) b)) (fma.f64 #s(literal -2/3 binary64) (/.f64 b c) (*.f64 (/.f64 a b) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1/3 binary64) #s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (fma.f64 (/.f64 a b) #s(literal 1/2 binary64) (*.f64 (/.f64 b c) #s(literal -2/3 binary64)))))
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) b))
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 1/3 binary64))
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a)
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) b) #s(literal 1/3 binary64)) a)
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64)))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) b) (*.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64)) c)) b))
(/.f64 #s(literal -1 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (* -3 a)) (*.f64 (fma.f64 (/.f64 a (*.f64 b b)) #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) c)) b)))
(/.f64 #s(literal -1 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (* -3 a)) (/.f64 (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64) (*.f64 b #s(literal 2 binary64))) c)))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (/ a (- (+ (* (* -3 a) c) (* b b)) (* b b))) (+ (sqrt (+ (* (* -3 a) c) (* b b))) b)) (/.f64 (fma.f64 #s(literal -2/3 binary64) b (*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64))) c)))
(/.f64 #s(literal 1/3 binary64) #s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (*.f64 (fma.f64 (/.f64 a (*.f64 b b)) #s(literal 1/2 binary64) (/.f64 #s(literal -2/3 binary64) c)) b)))
(/.f64 #s(literal 1/3 binary64) #s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (/.f64 (fma.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64) (*.f64 #s(literal -2/3 binary64) b)) 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))
(*.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) (/.f64 #s(literal -1 binary64) a)) #s(literal 1/3 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 1/3 binary64)))
(/.f64 #s(literal 1/3 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)) b))
#s(approx (/ (+ (* (pow (- (* b b) (* (* 3 a) c)) 1/4) (pow (- (* b b) (* (* 3 a) c)) 1/4)) (neg b)) (* 3 a)) (/.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (/.f64 (*.f64 (*.f64 c c) a) b) (*.f64 c #s(literal -1/2 binary64))) b))
(*.f64 (/.f64 #s(literal -1 binary64) a) (fma.f64 b #s(literal 1/3 binary64) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) #s(literal 1/3 binary64))))
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 (/.f64 b c) b (*.f64 #s(literal -3 binary64) a)) c))) b))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) b)) a))
Outputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (/ a (- (+ (* (* -3 a) c) (* b b)) (* b b))) (+ (sqrt (+ (* (* -3 a) c) (* b b))) b)) (/.f64 (fma.f64 #s(literal -2/3 binary64) b (*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64))) c)))
Calls

5 calls:

31.0ms
(*.f64 #s(literal 3 binary64) a)
14.0ms
c
13.0ms
a
11.0ms
b
11.0ms
(/.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
83.1%1a
85.9%2b
83.1%1c
87.8%2(/.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))
83.1%1(*.f64 #s(literal 3 binary64) a)
Compiler

Compiled 23 to 26 computations (-13% saved)

regimes14.0ms (0.1%)

Memory
-0.6MiB live, 31.8MiB allocated
Counts
30 → 2
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c)))
(/.f64 #s(literal 1/3 binary64) #s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (*.f64 (/.f64 b c) #s(literal -2/3 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 c b))))
(*.f64 (/.f64 #s(literal -1 binary64) a) #s(approx (* (- b (sqrt (+ (* (* -3 c) a) (* b b)))) 1/3) (*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64))))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 c b) #s(literal -3/2 binary64)) a)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 #s(approx (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) (*.f64 #s(literal -3/2 binary64) (*.f64 a c))) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (* (pow (- (* b b) (* (* 3 a) c)) 1/4) (pow (- (* b b) (* (* 3 a) c)) 1/4)) (neg b)) (*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (* (pow (- (* b b) (* (* 3 a) c)) 1/4) (pow (- (* b b) (* (* 3 a) c)) 1/4)) (neg b)) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))))
#s(approx (/ (+ (* (pow (- (* b b) (* (* 3 a) c)) 1/4) (pow (- (* b b) (* (* 3 a) c)) 1/4)) (neg b)) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))))
(/.f64 #s(literal -1 binary64) (*.f64 #s(approx (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (*.f64 (/.f64 b (*.f64 a c)) #s(literal -2/3 binary64))) (*.f64 #s(literal -3 binary64) a)))
(/.f64 #s(literal 1/3 binary64) (/.f64 a #s(approx (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b))))))
(/.f64 #s(literal -1 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (* -3 a)) (fma.f64 (/.f64 b c) #s(literal 2 binary64) (*.f64 (/.f64 a b) #s(literal -3/2 binary64)))))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (/ a (- (+ (* (* -3 a) c) (* b b)) (* b b))) (+ (sqrt (+ (* (* -3 a) c) (* b b))) b)) (fma.f64 #s(literal -2/3 binary64) (/.f64 b c) (*.f64 (/.f64 a b) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1/3 binary64) #s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (fma.f64 (/.f64 a b) #s(literal 1/2 binary64) (*.f64 (/.f64 b c) #s(literal -2/3 binary64)))))
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) b))
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 1/3 binary64))
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a)
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) b) #s(literal 1/3 binary64)) a)
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64)))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) b) (*.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64)) c)) b))
(/.f64 #s(literal -1 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (* -3 a)) (*.f64 (fma.f64 (/.f64 a (*.f64 b b)) #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) c)) b)))
(/.f64 #s(literal -1 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (* -3 a)) (/.f64 (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64) (*.f64 b #s(literal 2 binary64))) c)))
Outputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(literal -1 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (* -3 a)) (/.f64 (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64) (*.f64 b #s(literal 2 binary64))) c)))
Calls

1 calls:

13.0ms
(/.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
87.8%2(/.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 17 to 12 computations (29.4% saved)

regimes9.0ms (0.1%)

Memory
21.2MiB live, 21.2MiB allocated
Counts
29 → 2
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c)))
(/.f64 #s(literal 1/3 binary64) #s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (*.f64 (/.f64 b c) #s(literal -2/3 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 c b))))
(*.f64 (/.f64 #s(literal -1 binary64) a) #s(approx (* (- b (sqrt (+ (* (* -3 c) a) (* b b)))) 1/3) (*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64))))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 c b) #s(literal -3/2 binary64)) a)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 #s(approx (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) (*.f64 #s(literal -3/2 binary64) (*.f64 a c))) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (* (pow (- (* b b) (* (* 3 a) c)) 1/4) (pow (- (* b b) (* (* 3 a) c)) 1/4)) (neg b)) (*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (* (pow (- (* b b) (* (* 3 a) c)) 1/4) (pow (- (* b b) (* (* 3 a) c)) 1/4)) (neg b)) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))))
#s(approx (/ (+ (* (pow (- (* b b) (* (* 3 a) c)) 1/4) (pow (- (* b b) (* (* 3 a) c)) 1/4)) (neg b)) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))))
(/.f64 #s(literal -1 binary64) (*.f64 #s(approx (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (*.f64 (/.f64 b (*.f64 a c)) #s(literal -2/3 binary64))) (*.f64 #s(literal -3 binary64) a)))
(/.f64 #s(literal 1/3 binary64) (/.f64 a #s(approx (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b))))))
(/.f64 #s(literal -1 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (* -3 a)) (fma.f64 (/.f64 b c) #s(literal 2 binary64) (*.f64 (/.f64 a b) #s(literal -3/2 binary64)))))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (/ a (- (+ (* (* -3 a) c) (* b b)) (* b b))) (+ (sqrt (+ (* (* -3 a) c) (* b b))) b)) (fma.f64 #s(literal -2/3 binary64) (/.f64 b c) (*.f64 (/.f64 a b) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1/3 binary64) #s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (fma.f64 (/.f64 a b) #s(literal 1/2 binary64) (*.f64 (/.f64 b c) #s(literal -2/3 binary64)))))
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) b))
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 1/3 binary64))
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a)
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) b) #s(literal 1/3 binary64)) a)
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64)))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) b) (*.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64)) c)) b))
(/.f64 #s(literal -1 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (* -3 a)) (*.f64 (fma.f64 (/.f64 a (*.f64 b b)) #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) c)) b)))
Outputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(literal -1 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (* -3 a)) (fma.f64 (/.f64 b c) #s(literal 2 binary64) (*.f64 (/.f64 a b) #s(literal -3/2 binary64)))))
Calls

1 calls:

8.0ms
(/.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
87.8%2(/.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 17 to 12 computations (29.4% saved)

regimes15.0ms (0.1%)

Memory
-51.1MiB live, 10.6MiB allocated
Counts
25 → 2
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c)))
(/.f64 #s(literal 1/3 binary64) #s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (*.f64 (/.f64 b c) #s(literal -2/3 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 c b))))
(*.f64 (/.f64 #s(literal -1 binary64) a) #s(approx (* (- b (sqrt (+ (* (* -3 c) a) (* b b)))) 1/3) (*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64))))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 c b) #s(literal -3/2 binary64)) a)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 #s(approx (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) (*.f64 #s(literal -3/2 binary64) (*.f64 a c))) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (* (pow (- (* b b) (* (* 3 a) c)) 1/4) (pow (- (* b b) (* (* 3 a) c)) 1/4)) (neg b)) (*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (* (pow (- (* b b) (* (* 3 a) c)) 1/4) (pow (- (* b b) (* (* 3 a) c)) 1/4)) (neg b)) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))))
#s(approx (/ (+ (* (pow (- (* b b) (* (* 3 a) c)) 1/4) (pow (- (* b b) (* (* 3 a) c)) 1/4)) (neg b)) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))))
(/.f64 #s(literal -1 binary64) (*.f64 #s(approx (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (*.f64 (/.f64 b (*.f64 a c)) #s(literal -2/3 binary64))) (*.f64 #s(literal -3 binary64) a)))
(/.f64 #s(literal 1/3 binary64) (/.f64 a #s(approx (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b))))))
(/.f64 #s(literal -1 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (* -3 a)) (fma.f64 (/.f64 b c) #s(literal 2 binary64) (*.f64 (/.f64 a b) #s(literal -3/2 binary64)))))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (/ a (- (+ (* (* -3 a) c) (* b b)) (* b b))) (+ (sqrt (+ (* (* -3 a) c) (* b b))) b)) (fma.f64 #s(literal -2/3 binary64) (/.f64 b c) (*.f64 (/.f64 a b) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1/3 binary64) #s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (fma.f64 (/.f64 a b) #s(literal 1/2 binary64) (*.f64 (/.f64 b c) #s(literal -2/3 binary64)))))
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) b))
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 1/3 binary64))
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a)
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) b) #s(literal 1/3 binary64)) a)
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64)))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) b) (*.f64 #s(literal 3 binary64) a))
Outputs
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64)))
(/.f64 #s(literal -1 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (* -3 a)) (fma.f64 (/.f64 b c) #s(literal 2 binary64) (*.f64 (/.f64 a b) #s(literal -3/2 binary64)))))
Calls

1 calls:

7.0ms
(/.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
87.7%2(/.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 17 to 12 computations (29.4% saved)

regimes8.0ms (0.1%)

Memory
9.3MiB live, 9.3MiB allocated
Counts
23 → 2
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c)))
(/.f64 #s(literal 1/3 binary64) #s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (*.f64 (/.f64 b c) #s(literal -2/3 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 c b))))
(*.f64 (/.f64 #s(literal -1 binary64) a) #s(approx (* (- b (sqrt (+ (* (* -3 c) a) (* b b)))) 1/3) (*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64))))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 c b) #s(literal -3/2 binary64)) a)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 #s(approx (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) (*.f64 #s(literal -3/2 binary64) (*.f64 a c))) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (* (pow (- (* b b) (* (* 3 a) c)) 1/4) (pow (- (* b b) (* (* 3 a) c)) 1/4)) (neg b)) (*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (* (pow (- (* b b) (* (* 3 a) c)) 1/4) (pow (- (* b b) (* (* 3 a) c)) 1/4)) (neg b)) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))))
#s(approx (/ (+ (* (pow (- (* b b) (* (* 3 a) c)) 1/4) (pow (- (* b b) (* (* 3 a) c)) 1/4)) (neg b)) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))))
(/.f64 #s(literal -1 binary64) (*.f64 #s(approx (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (*.f64 (/.f64 b (*.f64 a c)) #s(literal -2/3 binary64))) (*.f64 #s(literal -3 binary64) a)))
(/.f64 #s(literal 1/3 binary64) (/.f64 a #s(approx (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b))))))
(/.f64 #s(literal -1 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (* -3 a)) (fma.f64 (/.f64 b c) #s(literal 2 binary64) (*.f64 (/.f64 a b) #s(literal -3/2 binary64)))))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (/ a (- (+ (* (* -3 a) c) (* b b)) (* b b))) (+ (sqrt (+ (* (* -3 a) c) (* b b))) b)) (fma.f64 #s(literal -2/3 binary64) (/.f64 b c) (*.f64 (/.f64 a b) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1/3 binary64) #s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (fma.f64 (/.f64 a b) #s(literal 1/2 binary64) (*.f64 (/.f64 b c) #s(literal -2/3 binary64)))))
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) b))
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 1/3 binary64))
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a)
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) b) #s(literal 1/3 binary64)) a)
Outputs
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a)
(/.f64 #s(literal -1 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (* -3 a)) (fma.f64 (/.f64 b c) #s(literal 2 binary64) (*.f64 (/.f64 a b) #s(literal -3/2 binary64)))))
Calls

1 calls:

7.0ms
(/.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
87.7%2(/.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 17 to 12 computations (29.4% saved)

regimes7.0ms (0.1%)

Memory
12.6MiB live, 12.6MiB allocated
Counts
21 → 2
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c)))
(/.f64 #s(literal 1/3 binary64) #s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (*.f64 (/.f64 b c) #s(literal -2/3 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 c b))))
(*.f64 (/.f64 #s(literal -1 binary64) a) #s(approx (* (- b (sqrt (+ (* (* -3 c) a) (* b b)))) 1/3) (*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64))))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 c b) #s(literal -3/2 binary64)) a)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 #s(approx (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) (*.f64 #s(literal -3/2 binary64) (*.f64 a c))) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (* (pow (- (* b b) (* (* 3 a) c)) 1/4) (pow (- (* b b) (* (* 3 a) c)) 1/4)) (neg b)) (*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (* (pow (- (* b b) (* (* 3 a) c)) 1/4) (pow (- (* b b) (* (* 3 a) c)) 1/4)) (neg b)) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))))
#s(approx (/ (+ (* (pow (- (* b b) (* (* 3 a) c)) 1/4) (pow (- (* b b) (* (* 3 a) c)) 1/4)) (neg b)) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))))
(/.f64 #s(literal -1 binary64) (*.f64 #s(approx (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (*.f64 (/.f64 b (*.f64 a c)) #s(literal -2/3 binary64))) (*.f64 #s(literal -3 binary64) a)))
(/.f64 #s(literal 1/3 binary64) (/.f64 a #s(approx (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b))))))
(/.f64 #s(literal -1 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (* -3 a)) (fma.f64 (/.f64 b c) #s(literal 2 binary64) (*.f64 (/.f64 a b) #s(literal -3/2 binary64)))))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (/ a (- (+ (* (* -3 a) c) (* b b)) (* b b))) (+ (sqrt (+ (* (* -3 a) c) (* b b))) b)) (fma.f64 #s(literal -2/3 binary64) (/.f64 b c) (*.f64 (/.f64 a b) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1/3 binary64) #s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (fma.f64 (/.f64 a b) #s(literal 1/2 binary64) (*.f64 (/.f64 b c) #s(literal -2/3 binary64)))))
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) b))
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 1/3 binary64))
Outputs
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))
(/.f64 #s(literal -1 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (* -3 a)) (fma.f64 (/.f64 b c) #s(literal 2 binary64) (*.f64 (/.f64 a b) #s(literal -3/2 binary64)))))
Calls

1 calls:

6.0ms
(/.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
87.7%2(/.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 17 to 12 computations (29.4% saved)

regimes60.0ms (0.5%)

Memory
-24.5MiB live, 52.7MiB allocated
Counts
18 → 1
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c)))
(/.f64 #s(literal 1/3 binary64) #s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (*.f64 (/.f64 b c) #s(literal -2/3 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 c b))))
(*.f64 (/.f64 #s(literal -1 binary64) a) #s(approx (* (- b (sqrt (+ (* (* -3 c) a) (* b b)))) 1/3) (*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64))))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 c b) #s(literal -3/2 binary64)) a)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 #s(approx (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) (*.f64 #s(literal -3/2 binary64) (*.f64 a c))) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (* (pow (- (* b b) (* (* 3 a) c)) 1/4) (pow (- (* b b) (* (* 3 a) c)) 1/4)) (neg b)) (*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (* (pow (- (* b b) (* (* 3 a) c)) 1/4) (pow (- (* b b) (* (* 3 a) c)) 1/4)) (neg b)) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))))
#s(approx (/ (+ (* (pow (- (* b b) (* (* 3 a) c)) 1/4) (pow (- (* b b) (* (* 3 a) c)) 1/4)) (neg b)) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))))
(/.f64 #s(literal -1 binary64) (*.f64 #s(approx (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (*.f64 (/.f64 b (*.f64 a c)) #s(literal -2/3 binary64))) (*.f64 #s(literal -3 binary64) a)))
(/.f64 #s(literal 1/3 binary64) (/.f64 a #s(approx (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b))))))
(/.f64 #s(literal -1 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (* -3 a)) (fma.f64 (/.f64 b c) #s(literal 2 binary64) (*.f64 (/.f64 a b) #s(literal -3/2 binary64)))))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (/ a (- (+ (* (* -3 a) c) (* b b)) (* b b))) (+ (sqrt (+ (* (* -3 a) c) (* b b))) b)) (fma.f64 #s(literal -2/3 binary64) (/.f64 b c) (*.f64 (/.f64 a b) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1/3 binary64) #s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (fma.f64 (/.f64 a b) #s(literal 1/2 binary64) (*.f64 (/.f64 b c) #s(literal -2/3 binary64)))))
Outputs
(/.f64 #s(literal -1 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (* -3 a)) (fma.f64 (/.f64 b c) #s(literal 2 binary64) (*.f64 (/.f64 a b) #s(literal -3/2 binary64)))))
Calls

5 calls:

37.0ms
a
6.0ms
(/.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))
5.0ms
b
5.0ms
(*.f64 #s(literal 3 binary64) a)
5.0ms
c
Results
AccuracySegmentsBranch
83.1%1a
83.1%1(*.f64 #s(literal 3 binary64) a)
83.1%1c
83.1%1b
83.1%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))
Compiler

Compiled 23 to 26 computations (-13% saved)

regimes41.0ms (0.4%)

Memory
19.8MiB live, 59.4MiB allocated
Counts
15 → 1
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c)))
(/.f64 #s(literal 1/3 binary64) #s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (*.f64 (/.f64 b c) #s(literal -2/3 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 c b))))
(*.f64 (/.f64 #s(literal -1 binary64) a) #s(approx (* (- b (sqrt (+ (* (* -3 c) a) (* b b)))) 1/3) (*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64))))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 c b) #s(literal -3/2 binary64)) a)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 #s(approx (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) (*.f64 #s(literal -3/2 binary64) (*.f64 a c))) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (* (pow (- (* b b) (* (* 3 a) c)) 1/4) (pow (- (* b b) (* (* 3 a) c)) 1/4)) (neg b)) (*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (* (pow (- (* b b) (* (* 3 a) c)) 1/4) (pow (- (* b b) (* (* 3 a) c)) 1/4)) (neg b)) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))))
#s(approx (/ (+ (* (pow (- (* b b) (* (* 3 a) c)) 1/4) (pow (- (* b b) (* (* 3 a) c)) 1/4)) (neg b)) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))))
(/.f64 #s(literal -1 binary64) (*.f64 #s(approx (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (*.f64 (/.f64 b (*.f64 a c)) #s(literal -2/3 binary64))) (*.f64 #s(literal -3 binary64) a)))
(/.f64 #s(literal 1/3 binary64) (/.f64 a #s(approx (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b))))))
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
Calls

5 calls:

21.0ms
a
5.0ms
(/.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))
5.0ms
(*.f64 #s(literal 3 binary64) a)
5.0ms
c
5.0ms
b
Results
AccuracySegmentsBranch
66.5%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))
66.5%1a
66.5%1(*.f64 #s(literal 3 binary64) a)
66.5%1b
66.5%1c
Compiler

Compiled 23 to 26 computations (-13% saved)

regimes10.0ms (0.1%)

Memory
-18.6MiB live, 21.2MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

5 calls:

4.0ms
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))
1.0ms
(*.f64 #s(literal 3 binary64) a)
1.0ms
a
1.0ms
c
Results
AccuracySegmentsBranch
66.5%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))
66.5%1b
66.5%1c
66.5%1a
66.5%1(*.f64 #s(literal 3 binary64) a)
Compiler

Compiled 23 to 26 computations (-13% saved)

bsearch1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.0002785956087059626
-0.00027793524288732515
Compiler

Compiled 20 to 18 computations (10% saved)

bsearch1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.0002785956087059626
-0.00027793524288732515
Compiler

Compiled 20 to 18 computations (10% saved)

bsearch0.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.0002785956087059626
-0.00027793524288732515
Compiler

Compiled 20 to 18 computations (10% saved)

bsearch0.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.0002785956087059626
-0.00027793524288732515
Compiler

Compiled 20 to 18 computations (10% saved)

bsearch0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.0002785956087059626
-0.00027793524288732515
Compiler

Compiled 20 to 18 computations (10% saved)

bsearch0.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.0002785956087059626
-0.00027793524288732515
Compiler

Compiled 20 to 18 computations (10% saved)

simplify32.0ms (0.3%)

Memory
23.6MiB live, 96.1MiB allocated
Algorithm
egg-herbie
Rules
40×*-commutative-binary64-*.f64
22×+-commutative-binary64-+.f64
16×sub-neg-binary64-neg.f64-+.f64--.f64
12×neg-sub0-binary64--.f64-neg.f64
12×neg-mul-1-binary64-*.f64-neg.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
098523
1124514
2145514
3156514
4164514
5167514
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (/ a (- (+ (* (* -3 a) c) (* b b)) (* b b))) (/.f64 #s(literal -1/3 binary64) c)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b)))
(if (<=.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)) #s(literal -5128194852491255/18446744073709551616 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) (/.f64 #s(literal 1/3 binary64) #s(approx (* (/ a (- (+ (* (* -3 a) c) (* b b)) (* b b))) (+ (sqrt (+ (* (* -3 a) c) (* b b))) b)) (/.f64 (fma.f64 #s(literal -2/3 binary64) b (*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64))) c))))
(if (<=.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)) #s(literal -5128194852491255/18446744073709551616 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) (/.f64 #s(literal -1 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (* -3 a)) (/.f64 (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64) (*.f64 b #s(literal 2 binary64))) c))))
(if (<=.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)) #s(literal -5128194852491255/18446744073709551616 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) (/.f64 #s(literal -1 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (* -3 a)) (fma.f64 (/.f64 b c) #s(literal 2 binary64) (*.f64 (/.f64 a b) #s(literal -3/2 binary64))))))
(if (<=.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)) #s(literal -5128194852491255/18446744073709551616 binary64)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (* -3 a)) (fma.f64 (/.f64 b c) #s(literal 2 binary64) (*.f64 (/.f64 a b) #s(literal -3/2 binary64))))))
(if (<=.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)) #s(literal -5128194852491255/18446744073709551616 binary64)) (/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a) (/.f64 #s(literal -1 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (* -3 a)) (fma.f64 (/.f64 b c) #s(literal 2 binary64) (*.f64 (/.f64 a b) #s(literal -3/2 binary64))))))
(if (<=.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)) #s(literal -5128194852491255/18446744073709551616 binary64)) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (/.f64 #s(literal -1 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (* -3 a)) (fma.f64 (/.f64 b c) #s(literal 2 binary64) (*.f64 (/.f64 a b) #s(literal -3/2 binary64))))))
(/.f64 #s(literal -1 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (* -3 a)) (fma.f64 (/.f64 b c) #s(literal 2 binary64) (*.f64 (/.f64 a b) #s(literal -3/2 binary64)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b)))
Outputs
(/.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (/ a (- (+ (* (* -3 a) c) (* b b)) (* b b))) (/.f64 #s(literal -1/3 binary64) c)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b)))
(/.f64 #s(literal 1/3 binary64) (*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b) #s(approx (/ a (- (+ (* (* -3 a) c) (* b b)) (* b b))) (/.f64 #s(literal -1/3 binary64) c))))
(if (<=.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)) #s(literal -5128194852491255/18446744073709551616 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) (/.f64 #s(literal 1/3 binary64) #s(approx (* (/ a (- (+ (* (* -3 a) c) (* b b)) (* b b))) (+ (sqrt (+ (* (* -3 a) c) (* b b))) b)) (/.f64 (fma.f64 #s(literal -2/3 binary64) b (*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64))) c))))
(if (<=.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) b) (*.f64 #s(literal 3 binary64) a)) #s(literal -5128194852491255/18446744073709551616 binary64)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c))) b) (*.f64 #s(literal 3 binary64) a)) (/.f64 #s(literal 1/3 binary64) #s(approx (* (/ a (- (+ (* (* -3 a) c) (* b b)) (* b b))) (+ (sqrt (+ (* (* -3 a) c) (* b b))) b)) (/.f64 (fma.f64 #s(literal -2/3 binary64) b (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 c b) a))) c))))
(if (<=.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)) #s(literal -5128194852491255/18446744073709551616 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) (/.f64 #s(literal -1 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (* -3 a)) (/.f64 (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64) (*.f64 b #s(literal 2 binary64))) c))))
(if (<=.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) b) (*.f64 #s(literal 3 binary64) a)) #s(literal -5128194852491255/18446744073709551616 binary64)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c))) b) (*.f64 #s(literal 3 binary64) a)) (/.f64 #s(literal -1 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (* -3 a)) (/.f64 (fma.f64 (*.f64 (/.f64 c b) a) #s(literal -3/2 binary64) (*.f64 #s(literal 2 binary64) b)) c))))
(if (<=.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)) #s(literal -5128194852491255/18446744073709551616 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) (/.f64 #s(literal -1 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (* -3 a)) (fma.f64 (/.f64 b c) #s(literal 2 binary64) (*.f64 (/.f64 a b) #s(literal -3/2 binary64))))))
(if (<=.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) b) (*.f64 #s(literal 3 binary64) a)) #s(literal -5128194852491255/18446744073709551616 binary64)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c))) b) (*.f64 #s(literal 3 binary64) a)) (/.f64 #s(literal -1 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (* -3 a)) (fma.f64 (/.f64 b c) #s(literal 2 binary64) (*.f64 (/.f64 a b) #s(literal -3/2 binary64))))))
(if (<=.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)) #s(literal -5128194852491255/18446744073709551616 binary64)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (* -3 a)) (fma.f64 (/.f64 b c) #s(literal 2 binary64) (*.f64 (/.f64 a b) #s(literal -3/2 binary64))))))
(if (<=.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) b) (*.f64 #s(literal 3 binary64) a)) #s(literal -5128194852491255/18446744073709551616 binary64)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) (*.f64 #s(literal 3 binary64) a)) (/.f64 #s(literal -1 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (* -3 a)) (fma.f64 (/.f64 b c) #s(literal 2 binary64) (*.f64 (/.f64 a b) #s(literal -3/2 binary64))))))
(if (<=.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)) #s(literal -5128194852491255/18446744073709551616 binary64)) (/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a) (/.f64 #s(literal -1 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (* -3 a)) (fma.f64 (/.f64 b c) #s(literal 2 binary64) (*.f64 (/.f64 a b) #s(literal -3/2 binary64))))))
(if (<=.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) b) (*.f64 #s(literal 3 binary64) a)) #s(literal -5128194852491255/18446744073709551616 binary64)) (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) #s(literal 1/3 binary64)) a) (/.f64 #s(literal -1 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (* -3 a)) (fma.f64 (/.f64 b c) #s(literal 2 binary64) (*.f64 (/.f64 a b) #s(literal -3/2 binary64))))))
(if (<=.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)) #s(literal -5128194852491255/18446744073709551616 binary64)) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (/.f64 #s(literal -1 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (* -3 a)) (fma.f64 (/.f64 b c) #s(literal 2 binary64) (*.f64 (/.f64 a b) #s(literal -3/2 binary64))))))
(if (<=.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) b) (*.f64 #s(literal 3 binary64) a)) #s(literal -5128194852491255/18446744073709551616 binary64)) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)) (/.f64 #s(literal -1 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (* -3 a)) (fma.f64 (/.f64 b c) #s(literal 2 binary64) (*.f64 (/.f64 a b) #s(literal -3/2 binary64))))))
(/.f64 #s(literal -1 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (* -3 a)) (fma.f64 (/.f64 b c) #s(literal 2 binary64) (*.f64 (/.f64 a b) #s(literal -3/2 binary64)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal -1/2 binary64) b) c))

soundness979.0ms (8.8%)

Memory
6.3MiB live, 993.0MiB allocated
Rules
11 360×lower-fma.f64
11 360×lower-fma.f32
7 922×lower-*.f64
7 922×lower-*.f32
7 568×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
073471
0126471
1465447
23762447
08223447
0129716319
1421316049
0857715399
0165215850
1553115252
0816314604
01246
02046
17144
252543
3683643
0812540
04702458
114452441
248902418
080562302
095617
0159571
1574549
24411545
08280541
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 835 to 391 computations (53.2% saved)

preprocess120.0ms (1.1%)

Memory
-25.3MiB live, 145.6MiB allocated
Compiler

Compiled 692 to 170 computations (75.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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