Cubic critical, narrow range

Time bar (total: 12.4s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze333.0ms (2.7%)

Memory
25.4MiB live, 378.5MiB 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)

sample2.9s (23.3%)

Memory
5.5MiB live, 2 847.3MiB allocated
Samples
1.2s5 706×0valid
835.0ms2 550×1valid
270.0ms1 293×0invalid
Precisions
Click to see histograms. Total time spent on operations: 1.5s
const: 442.0ms (29.8% of total)
ival-mult: 242.0ms (16.3% of total)
ival-<: 216.0ms (14.5% of total)
ival-div: 123.0ms (8.3% of total)
ival-sqrt: 105.0ms (7.1% of total)
ival-neg: 99.0ms (6.7% of total)
adjust: 85.0ms (5.7% of total)
ival-sub: 73.0ms (4.9% of total)
ival-add: 57.0ms (3.8% of total)
ival-and: 33.0ms (2.2% of total)
exact: 6.0ms (0.4% of total)
ival-assert: 3.0ms (0.2% of total)
Bogosity

explain155.0ms (1.3%)

Memory
10.6MiB live, 331.0MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2303(8.243971736516205e-6 1.0610608004911941 29.11671534980447)3(0.11320924516939021 0.16248204777343112 0.003147443767314848)(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))))
10-0-(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))
00-0-a
00-0-#s(literal 3 binary64)
00-0-(*.f64 (*.f64 #s(literal 3 binary64) a) c)
00-0-(*.f64 b b)
00-0-c
00-0-(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)
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))))cancellation2307
-.f64(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))cancellation10
Confusion
Predicted +Predicted -
+2283
-322
Precision
0.987012987012987
Recall
0.987012987012987
Confusion?
Predicted +Predicted MaybePredicted -
+22821
-3517
Precision?
0.9663865546218487
Recall?
0.9956709956709957
Freqs
test
numberfreq
025
1231
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
31.0ms176×1valid
30.0ms336×0valid
Compiler

Compiled 153 to 40 computations (73.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 35.0ms
ival-mult: 13.0ms (37.5% of total)
ival-sqrt: 5.0ms (14.4% of total)
ival-div: 4.0ms (11.5% of total)
adjust: 3.0ms (8.6% of total)
ival-add: 3.0ms (8.6% of total)
ival-sub: 3.0ms (8.6% of total)
ival-neg: 2.0ms (5.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess121.0ms (1%)

Memory
23.4MiB live, 100.7MiB 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)

prune4.0ms (0%)

Memory
-37.3MiB live, 1.6MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.2%
(/.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)

simplify79.0ms (0.6%)

Memory
7.7MiB live, 91.1MiB 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

localize41.0ms (0.3%)

Memory
8.4MiB live, 85.4MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.28125
(*.f64 (*.f64 #s(literal 3 binary64) a) c)
accuracy0.29023128132182535
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))
accuracy0.363945019536884
(/.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))
accuracy28.503385392793493
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))))
Samples
19.0ms168×0valid
13.0ms88×1valid
Compiler

Compiled 68 to 14 computations (79.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-mult: 8.0ms (36.4% of total)
ival-div: 5.0ms (22.7% of total)
ival-sub: 2.0ms (9.1% of total)
ival-sqrt: 2.0ms (9.1% of total)
adjust: 1.0ms (4.5% of total)
ival-add: 1.0ms (4.5% of total)
ival-neg: 1.0ms (4.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series33.0ms (0.3%)

Memory
-18.1MiB live, 63.7MiB 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
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))
3.0ms
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
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
@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))

simplify162.0ms (1.3%)

Memory
31.5MiB live, 263.5MiB 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))

rewrite215.0ms (1.7%)

Memory
5.8MiB live, 287.2MiB 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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eval88.0ms (0.7%)

Memory
-7.3MiB live, 188.2MiB allocated
Compiler

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

prune58.0ms (0.5%)

Memory
-12.5MiB live, 153.8MiB allocated
Pruning

42 alts after pruning (42 fresh and 0 done)

PrunedKeptTotal
New51242554
Fresh000
Picked101
Done000
Total51342555
Accuracy
99.0%
Counts
555 → 42
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.3%
(/.f64 (pow.f64 a #s(literal -1 binary64)) (/.f64 #s(literal -3 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))
54.3%
(/.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))
54.1%
(/.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))
55.3%
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64))
55.3%
(/.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))
55.3%
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64)))
55.3%
(/.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))
55.2%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) (*.f64 #s(literal 3 binary64) a))
55.3%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 c #s(literal 3 binary64)) a)))) (*.f64 #s(literal 3 binary64) a))
54.9%
(/.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))
55.2%
(/.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))
55.3%
(/.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) (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 #s(literal 3 binary64) a))
55.3%
(/.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))
54.8%
(/.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))
55.2%
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a)
87.8%
(/.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) (fma.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (pow.f64 b #s(literal 4 binary64))) #s(literal -27/16 binary64) (*.f64 (*.f64 c a) #s(literal -3/2 binary64)))) b)) (*.f64 #s(literal 3 binary64) a))
81.5%
(/.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))
90.6%
(/.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))
90.6%
(/.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))
87.9%
(/.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))
81.5%
(/.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))
81.6%
(/.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))
64.7%
(/.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))
55.3%
(/.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)))
55.3%
(/.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)))
55.3%
(/.f64 #s(literal 1/3 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
54.5%
(-.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))))
55.2%
(*.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)))
55.3%
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 1/3 binary64))
55.2%
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))
55.2%
(*.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)))
54.8%
(*.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)))
91.1%
#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))))
88.3%
#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))))
81.9%
#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))))
88.2%
#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))
81.9%
#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))
91.0%
#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))
90.9%
#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))
88.1%
#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))
81.7%
#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))
64.7%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
Compiler

Compiled 2 344 to 1 508 computations (35.7% saved)

simplify194.0ms (1.6%)

Memory
-45.9MiB live, 239.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(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))
cost-diff0
(*.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)
cost-diff0
#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))
cost-diff320
(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)))
cost-diff0
(*.f64 c (/.f64 c (pow.f64 b #s(literal 3 binary64))))
cost-diff0
(*.f64 #s(literal -3/8 binary64) a)
cost-diff0
#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))))
cost-diff320
(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)))
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 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a)
cost-diff384
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64))
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
15 916×lower-fma.f32
15 902×lower-fma.f64
4 914×lower-*.f32
4 886×lower-*.f64
2 792×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
064587
0110587
1192579
2443573
31200559
42575557
53520557
64042557
75114557
87857557
08173545
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 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64))
(/.f64 (-.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
a
(*.f64 b b)
b
#s(literal 3 binary64)
#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))))
(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)))
(*.f64 #s(literal -3/8 binary64) a)
#s(literal -3/8 binary64)
a
(*.f64 c (/.f64 c (pow.f64 b #s(literal 3 binary64))))
c
(/.f64 c (pow.f64 b #s(literal 3 binary64)))
(pow.f64 b #s(literal 3 binary64))
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 (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))
(*.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)
(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))
(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)))
(*.f64 c #s(literal -9/16 binary64))
c
#s(literal -9/16 binary64)
(*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64))))
a
(/.f64 a (pow.f64 b #s(literal 5 binary64)))
(pow.f64 b #s(literal 5 binary64))
b
#s(literal 5 binary64)
(*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))
(/.f64 a (pow.f64 b #s(literal 3 binary64)))
(pow.f64 b #s(literal 3 binary64))
#s(literal 3 binary64)
#s(literal -3/8 binary64)
(/.f64 #s(literal -1/2 binary64) b)
#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 (fma.f64 (*.f64 c a) (fma.f64 (*.f64 (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 5 binary64))) c) a (/.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal 3 binary64)))) (/.f64 #s(literal -1/2 binary64) b)) c (*.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 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 (fma.f64 (*.f64 c a) (fma.f64 (*.f64 (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 5 binary64))) c) a (/.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal 3 binary64)))) (/.f64 #s(literal -1/2 binary64) b)) c (*.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 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))) c) a (/.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 (/.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal 3 binary64))) c) 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 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64))
(*.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a))
(/.f64 (-.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
a
(*.f64 b b)
b
#s(literal 3 binary64)
#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))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (*.f64 (/.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal 3 binary64))) c) a (/.f64 #s(literal -1/2 binary64) b)) c))
(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)))
(*.f64 (fma.f64 (*.f64 (/.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal 3 binary64))) c) a (/.f64 #s(literal -1/2 binary64) b)) c)
(*.f64 #s(literal -3/8 binary64) a)
#s(literal -3/8 binary64)
a
(*.f64 c (/.f64 c (pow.f64 b #s(literal 3 binary64))))
(*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) c)
c
(/.f64 c (pow.f64 b #s(literal 3 binary64)))
(pow.f64 b #s(literal 3 binary64))
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 (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))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (*.f64 c a) (fma.f64 (*.f64 (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 5 binary64))) c) a (/.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal 3 binary64)))) (/.f64 #s(literal -1/2 binary64) b)) c))
(*.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)
(*.f64 (fma.f64 (*.f64 c a) (fma.f64 (*.f64 (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 5 binary64))) c) a (/.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal 3 binary64)))) (/.f64 #s(literal -1/2 binary64) b)) c)
(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))
(fma.f64 (*.f64 c a) (fma.f64 (*.f64 (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 5 binary64))) c) a (/.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal 3 binary64)))) (/.f64 #s(literal -1/2 binary64) b))
(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)))
(*.f64 (fma.f64 (*.f64 (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 5 binary64))) c) a (/.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal 3 binary64)))) a)
(*.f64 c #s(literal -9/16 binary64))
(*.f64 #s(literal -9/16 binary64) c)
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 5 binary64))) a)
a
(/.f64 a (pow.f64 b #s(literal 5 binary64)))
(pow.f64 b #s(literal 5 binary64))
b
#s(literal 5 binary64)
(*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))
(/.f64 a (pow.f64 b #s(literal 3 binary64)))
(pow.f64 b #s(literal 3 binary64))
#s(literal 3 binary64)
#s(literal -3/8 binary64)
(/.f64 #s(literal -1/2 binary64) b)
#s(literal -1/2 binary64)

localize279.0ms (2.3%)

Memory
0.8MiB live, 395.2MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.265625
(*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64))))
accuracy0.31640625
(*.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)
accuracy0.34765625
(*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))
accuracy7.407880566399262
#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))
accuracy0.1796875
(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)))
accuracy0.28125
(/.f64 c (pow.f64 b #s(literal 3 binary64)))
accuracy0.29296875
(*.f64 c (/.f64 c (pow.f64 b #s(literal 3 binary64))))
accuracy11.522813255306946
#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))))
accuracy0.26953125
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64))
accuracy0.2990796394377056
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))
accuracy0.34765625
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a)
accuracy28.503385392793493
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)
accuracy0
(/.f64 c b)
accuracy0
(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
accuracy22.56059143743804
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
accuracy0.33431625976844204
(/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))
accuracy0.37109375
(/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))
accuracy0.4225387695368841
(/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64)))
accuracy5.575337480661875
#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
139.0ms86×1valid
78.0ms170×0valid
Compiler

Compiled 514 to 68 computations (86.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 179.0ms
ival-pow: 81.0ms (45.2% of total)
ival-mult: 39.0ms (21.7% of total)
ival-div: 23.0ms (12.8% of total)
ival-add: 13.0ms (7.2% of total)
adjust: 8.0ms (4.5% of total)
ival-sqrt: 6.0ms (3.3% of total)
const: 4.0ms (2.2% of total)
ival-sub: 3.0ms (1.7% of total)
exact: 1.0ms (0.6% of total)
ival-neg: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series151.0ms (1.2%)

Memory
5.9MiB live, 240.6MiB allocated
Counts
26 → 792
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 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64)) (patch (/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #<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 #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))) (patch (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))) #<representation binary64>) () ())
#s(alt #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)))) (patch #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)))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal -3/8 binary64) a) (patch (*.f64 #s(literal -3/8 binary64) a) #<representation binary64>) () ())
#s(alt (*.f64 c (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (patch (*.f64 c (/.f64 c (pow.f64 b #s(literal 3 binary64)))) #<representation binary64>) () ())
#s(alt (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))) (patch (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))) #<representation binary64>) () ())
#s(alt #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)) (patch #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)) #<representation binary64>) () ())
#s(alt (*.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) (patch (*.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) #<representation binary64>) () ())
#s(alt (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)) (patch (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)) #<representation binary64>) () ())
#s(alt (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (patch (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #<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 (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 c (pow.f64 b #s(literal 3 binary64))) (patch (/.f64 c (pow.f64 b #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) (patch (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (patch (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) #<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>) () ())) ())
#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>) () ())) ())
#s(alt (* -9/16 (/ (pow c 3) (pow b 5))) (taylor 0 c) (#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 (* (pow c 3) (- (* -135/128 (/ (* a c) (pow b 7))) (* 9/16 (/ 1 (pow b 5))))) (taylor 0 c) (#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>) () ())) ())
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#s(alt (* -3/8 (/ a (pow b 3))) (taylor -inf a) (#s(alt (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) (patch (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (pow a 2) (pow b 5)) (taylor -inf a) (#s(alt (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (patch (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (pow a 2) (pow b 5)) (taylor -inf a) (#s(alt (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (patch (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (pow a 2) (pow b 5)) (taylor -inf a) (#s(alt (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (patch (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (pow a 2) (pow b 5)) (taylor -inf a) (#s(alt (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (patch (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
16.0ms
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) (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (sqrt (+ (* (* -3 c) a) (* b b))) (+ (* (* -3/8 a) (* c (/ c (pow b 3)))) (* (/ c b) -1/2)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* -3/8 a) (* c (/ c (pow b 3))) (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) c) (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/ (pow c 4) (pow b 6)) (/ (* (* c c) -3/8) (pow b 3)) (/ (* (pow c 3) -9/16) (pow b 5)) (+ (* (* -3 c) a) (* b b)) (/ c (pow b 3)) (* (/ a (pow b 3)) -3/8) (* a (/ a (pow b 5))))
13.0ms
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) (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (sqrt (+ (* (* -3 c) a) (* b b))) (+ (* (* -3/8 a) (* c (/ c (pow b 3)))) (* (/ c b) -1/2)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* -3/8 a) (* c (/ c (pow b 3))) (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) c) (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/ (pow c 4) (pow b 6)) (/ (* (* c c) -3/8) (pow b 3)) (/ (* (pow c 3) -9/16) (pow b 5)) (+ (* (* -3 c) a) (* b b)) (/ c (pow b 3)) (* (/ a (pow b 3)) -3/8) (* a (/ a (pow b 5))))
11.0ms
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) (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (sqrt (+ (* (* -3 c) a) (* b b))) (+ (* (* -3/8 a) (* c (/ c (pow b 3)))) (* (/ c b) -1/2)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* -3/8 a) (* c (/ c (pow b 3))) (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) c) (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/ (pow c 4) (pow b 6)) (/ (* (* c c) -3/8) (pow b 3)) (/ (* (pow c 3) -9/16) (pow b 5)) (+ (* (* -3 c) a) (* b b)) (/ c (pow b 3)) (* (/ a (pow b 3)) -3/8) (* a (/ a (pow b 5))))
9.0ms
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) (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (sqrt (+ (* (* -3 c) a) (* b b))) (+ (* (* -3/8 a) (* c (/ c (pow b 3)))) (* (/ c b) -1/2)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* -3/8 a) (* c (/ c (pow b 3))) (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) c) (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/ (pow c 4) (pow b 6)) (/ (* (* c c) -3/8) (pow b 3)) (/ (* (pow c 3) -9/16) (pow b 5)) (+ (* (* -3 c) a) (* b b)) (/ c (pow b 3)) (* (/ a (pow b 3)) -3/8) (* a (/ a (pow b 5))))
8.0ms
a
@-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) (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (sqrt (+ (* (* -3 c) a) (* b b))) (+ (* (* -3/8 a) (* c (/ c (pow b 3)))) (* (/ c b) -1/2)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* -3/8 a) (* c (/ c (pow b 3))) (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) c) (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/ (pow c 4) (pow b 6)) (/ (* (* c c) -3/8) (pow b 3)) (/ (* (pow c 3) -9/16) (pow b 5)) (+ (* (* -3 c) a) (* b b)) (/ c (pow b 3)) (* (/ a (pow b 3)) -3/8) (* a (/ a (pow b 5))))

simplify222.0ms (1.8%)

Memory
37.7MiB live, 310.9MiB allocated
Algorithm
egg-herbie
Rules
12 050×lower-fma.f64
12 050×lower-fma.f32
9 554×lower-*.f64
9 554×lower-*.f32
4 696×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
095914477
1302714389
0861513789
Stop Event
iter limit
node limit
Counts
792 → 789
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)))
(* (pow c 3) (- (* -135/128 (/ (* a c) (pow b 7))) (* 9/16 (/ 1 (pow b 5)))))
(* (pow c 3) (- (* -135/128 (/ (* a c) (pow b 7))) (* 9/16 (/ 1 (pow b 5)))))
(* (pow c 3) (- (* -135/128 (/ (* a c) (pow b 7))) (* 9/16 (/ 1 (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))
(* 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))
(/ c b)
(/ c b)
(/ c b)
(/ 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))))
(* -3/2 (/ c b))
(* c (- (* -9/8 (/ (* a c) (pow b 3))) (* 3/2 (/ 1 b))))
(* c (- (* c (+ (* -27/16 (/ (* (pow a 2) c) (pow b 5))) (* -9/8 (/ a (pow b 3))))) (* 3/2 (/ 1 b))))
(* c (- (* c (+ (* -9/8 (/ a (pow b 3))) (* c (+ (* -27/16 (/ (pow a 2) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 3/2 (/ 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))))))))
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))))))))
(* -1/2 (/ c b))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* -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 c 2) (pow b 3))
(/ (pow c 2) (pow b 3))
(/ (pow c 2) (pow b 3))
(/ (pow c 2) (pow b 3))
(* -3/8 (/ a (pow b 3)))
(+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))
(+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))
(+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))
(* -1/2 (/ c b))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))
(* -1/2 (/ 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 (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(/ -1/2 b)
(- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))
(- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))
(- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))
(/ (pow c 4) (pow b 6))
(/ (pow c 4) (pow b 6))
(/ (pow c 4) (pow b 6))
(/ (pow c 4) (pow b 6))
(* -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)
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(/ c (pow b 3))
(/ c (pow b 3))
(/ c (pow b 3))
(/ c (pow b 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)
(* 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 (/ c a)) (sqrt -3))
(* c (+ (* -1 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -3))))
(* c (+ (* -1 (/ b (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ 1 (* a c))) (sqrt -3)))))
(* c (+ (* -1 (/ b (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ 1 (* a c))) (sqrt -3))))))
(* (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))))))
(* -3/8 (/ (* a (pow c 2)) (pow b 3)))
(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))))
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(/ (+ (* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 4))) (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2)))) (pow b 3))
(/ (+ (* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 4))) (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2)))) (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)))
(/ (+ (* -135/128 (/ (* a (pow c 4)) (pow b 2))) (* -9/16 (pow c 3))) (pow b 5))
(/ (+ (* -135/128 (/ (* a (pow c 4)) (pow b 2))) (* -9/16 (pow c 3))) (pow b 5))
(/ (+ (* -135/128 (/ (* a (pow c 4)) (pow b 2))) (* -9/16 (pow c 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))
(/ c b)
(/ c b)
(/ c b)
(/ c 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)
(* -3/2 (/ c b))
(/ (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -3/2 c) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -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)))))))
(* -1/2 (/ c b))
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)
(* -1/2 (/ c b))
(/ (+ (* -1/2 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 c 2) (pow b 3))
(/ (pow c 2) (pow b 3))
(/ (pow c 2) (pow b 3))
(/ (pow c 2) (pow b 3))
(* -3/8 (/ a (pow b 3)))
(/ (+ (* -9/16 (/ (* (pow a 2) c) (pow b 2))) (* -3/8 a)) (pow b 3))
(/ (+ (* -9/16 (/ (* (pow a 2) c) (pow b 2))) (* -3/8 a)) (pow b 3))
(/ (+ (* -9/16 (/ (* (pow a 2) c) (pow b 2))) (* -3/8 a)) (pow b 3))
(* -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)
(/ -1/2 b)
(/ (- (* -3/8 (/ (* a c) (pow b 2))) 1/2) b)
(/ (- (+ (* -9/16 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -3/8 (/ (* a c) (pow b 2)))) 1/2) b)
(/ (- (+ (* -9/16 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -3/8 (/ (* a c) (pow b 2)))) 1/2) b)
(/ (pow c 4) (pow b 6))
(/ (pow c 4) (pow b 6))
(/ (pow c 4) (pow b 6))
(/ (pow c 4) (pow b 6))
(* -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)
(* (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)))))
(/ c (pow b 3))
(/ c (pow b 3))
(/ c (pow b 3))
(/ c (pow b 3))
(* -3/8 (/ a (pow b 3)))
(* -3/8 (/ a (pow b 3)))
(* -3/8 (/ a (pow b 3)))
(* -3/8 (/ a (pow b 3)))
(/ (pow a 2) (pow b 5))
(/ (pow a 2) (pow b 5))
(/ (pow a 2) (pow b 5))
(/ (pow a 2) (pow b 5))
(* -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)
(* -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 a))
(* -1 (* b (+ (* -3/2 (/ c (pow b 2))) (* 2 (/ 1 a)))))
(* -1 (* b (+ (* -3/2 (/ c (pow b 2))) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 4))) (* 2 (/ 1 a))))))
(* -1 (* b (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ c (pow b 2))) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 4))) (* 2 (/ 1 a)))))))
(* -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))))))))
(* -1/2 (/ c b))
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 c)) b))
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 c)) b))
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 c)) b))
(* -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 c 2) (pow b 3))
(/ (pow c 2) (pow b 3))
(/ (pow c 2) (pow b 3))
(/ (pow c 2) (pow b 3))
(* -3/8 (/ a (pow b 3)))
(* -1 (/ (+ (* 3/8 a) (* 9/16 (/ (* (pow a 2) c) (pow b 2)))) (pow b 3)))
(* -1 (/ (+ (* 3/8 a) (* 9/16 (/ (* (pow a 2) c) (pow b 2)))) (pow b 3)))
(* -1 (/ (+ (* 3/8 a) (* 9/16 (/ (* (pow a 2) c) (pow b 2)))) (pow b 3)))
(* -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))
(/ -1/2 b)
(* -1 (/ (+ 1/2 (* 3/8 (/ (* a c) (pow b 2)))) b))
(* -1 (/ (+ 1/2 (+ (* 3/8 (/ (* a c) (pow b 2))) (* 9/16 (/ (* (pow a 2) (pow c 2)) (pow b 4))))) b))
(* -1 (/ (+ 1/2 (+ (* 3/8 (/ (* a c) (pow b 2))) (* 9/16 (/ (* (pow a 2) (pow c 2)) (pow b 4))))) b))
(/ (pow c 4) (pow b 6))
(/ (pow c 4) (pow b 6))
(/ (pow c 4) (pow b 6))
(/ (pow c 4) (pow b 6))
(* -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)
(* (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)))))
(/ c (pow b 3))
(/ c (pow b 3))
(/ c (pow b 3))
(/ c (pow b 3))
(* -3/8 (/ a (pow b 3)))
(* -3/8 (/ a (pow b 3)))
(* -3/8 (/ a (pow b 3)))
(* -3/8 (/ a (pow b 3)))
(/ (pow a 2) (pow b 5))
(/ (pow a 2) (pow b 5))
(/ (pow a 2) (pow b 5))
(/ (pow a 2) (pow b 5))
(* -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)))))))
(* -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 (/ c b))
(+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))
(+ (* -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)) (* 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))))))))
(* -1/2 (/ c b))
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))
(* -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)))))))
(* -3/8 a)
(* -3/8 a)
(* -3/8 a)
(* -3/8 a)
(* -3/8 (/ a (pow b 3)))
(* a (- (* -9/16 (/ (* a c) (pow b 5))) (* 3/8 (/ 1 (pow b 3)))))
(* a (- (* -9/16 (/ (* a c) (pow b 5))) (* 3/8 (/ 1 (pow b 3)))))
(* a (- (* -9/16 (/ (* a c) (pow b 5))) (* 3/8 (/ 1 (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 (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))
(/ -1/2 b)
(- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))
(- (* a (+ (* -9/16 (/ (* a (pow c 2)) (pow b 5))) (* -3/8 (/ c (pow b 3))))) (* 1/2 (/ 1 b)))
(- (* a (+ (* -9/16 (/ (* a (pow c 2)) (pow b 5))) (* -3/8 (/ c (pow b 3))))) (* 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))
(* -3/8 (/ a (pow b 3)))
(* -3/8 (/ a (pow b 3)))
(* -3/8 (/ a (pow b 3)))
(* -3/8 (/ a (pow b 3)))
(/ (pow a 2) (pow b 5))
(/ (pow a 2) (pow b 5))
(/ (pow a 2) (pow b 5))
(/ (pow a 2) (pow b 5))
(* -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))))))
(* 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 (/ c a)) (sqrt -3))
(+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1 (/ b a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))
(+ (* -1 (/ b a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))
(* (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))))))
(* -3/8 (/ (* a (pow c 2)) (pow b 3)))
(* a (+ (* -1/2 (/ c (* a b))) (* -3/8 (/ (pow c 2) (pow b 3)))))
(* a (+ (* -1/2 (/ c (* a b))) (* -3/8 (/ (pow c 2) (pow b 3)))))
(* a (+ (* -1/2 (/ c (* a b))) (* -3/8 (/ (pow c 2) (pow b 3)))))
(* 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))))))
(* -3/8 a)
(* -3/8 a)
(* -3/8 a)
(* -3/8 a)
(* -9/16 (/ (* (pow a 2) c) (pow b 5)))
(* (pow a 2) (- (* -9/16 (/ c (pow b 5))) (* 3/8 (/ 1 (* a (pow b 3))))))
(* (pow a 2) (- (* -9/16 (/ c (pow b 5))) (* 3/8 (/ 1 (* a (pow b 3))))))
(* (pow a 2) (- (* -9/16 (/ c (pow b 5))) (* 3/8 (/ 1 (* a (pow b 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))))))
(* -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)))))))
(* -9/16 (/ (* (pow a 2) (pow c 2)) (pow b 5)))
(* (pow a 2) (+ (* -9/16 (/ (pow c 2) (pow b 5))) (* -3/8 (/ c (* a (pow b 3))))))
(* (pow a 2) (- (+ (* -9/16 (/ (pow c 2) (pow b 5))) (* -3/8 (/ c (* a (pow b 3))))) (/ 1/2 (* (pow a 2) b))))
(* (pow a 2) (- (+ (* -9/16 (/ (pow c 2) (pow b 5))) (* -3/8 (/ c (* a (pow b 3))))) (/ 1/2 (* (pow a 2) b))))
(* -3 (* a c))
(* a (+ (* -3 c) (/ (pow b 2) a)))
(* a (+ (* -3 c) (/ (pow b 2) a)))
(* a (+ (* -3 c) (/ (pow b 2) a)))
(* -3/8 (/ a (pow b 3)))
(* -3/8 (/ a (pow b 3)))
(* -3/8 (/ a (pow b 3)))
(* -3/8 (/ a (pow b 3)))
(/ (pow a 2) (pow b 5))
(/ (pow a 2) (pow b 5))
(/ (pow a 2) (pow b 5))
(/ (pow a 2) (pow b 5))
(* -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)))))
(* -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 (/ c a)) (* (sqrt -1) (sqrt 3))))
(+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (+ b (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)))
(+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (+ b (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a))) a)))
(* -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))))))))
(* -3/8 (/ (* a (pow c 2)) (pow b 3)))
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b))))))
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b))))))
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b))))))
(* -1/3 (* (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)))))
(* -3/8 a)
(* -3/8 a)
(* -3/8 a)
(* -3/8 a)
(* -9/16 (/ (* (pow a 2) c) (pow b 5)))
(* (pow a 2) (- (* -9/16 (/ c (pow b 5))) (* 3/8 (/ 1 (* a (pow b 3))))))
(* (pow a 2) (- (* -9/16 (/ c (pow b 5))) (* 3/8 (/ 1 (* a (pow b 3))))))
(* (pow a 2) (- (* -9/16 (/ c (pow b 5))) (* 3/8 (/ 1 (* a (pow b 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)))))
(* -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)))))
(* -9/16 (/ (* (pow a 2) (pow c 2)) (pow b 5)))
(* (pow a 2) (+ (* -9/16 (/ (pow c 2) (pow b 5))) (* -3/8 (/ c (* a (pow b 3))))))
(* (pow a 2) (+ (* -1 (/ (+ (* 3/8 (/ c (pow b 3))) (* 1/2 (/ 1 (* a b)))) a)) (* -9/16 (/ (pow c 2) (pow b 5)))))
(* (pow a 2) (+ (* -1 (/ (+ (* 3/8 (/ c (pow b 3))) (* 1/2 (/ 1 (* a b)))) a)) (* -9/16 (/ (pow c 2) (pow b 5)))))
(* -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))))
(* -3/8 (/ a (pow b 3)))
(* -3/8 (/ a (pow b 3)))
(* -3/8 (/ a (pow b 3)))
(* -3/8 (/ a (pow b 3)))
(/ (pow a 2) (pow b 5))
(/ (pow a 2) (pow b 5))
(/ (pow a 2) (pow b 5))
(/ (pow a 2) (pow b 5))
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 #s(literal -9/16 binary64) a) (/.f64 c (pow.f64 b #s(literal 5 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 (*.f64 #s(literal -135/128 binary64) a) a) (/.f64 c (pow.f64 b #s(literal 7 binary64))) (*.f64 (/.f64 a (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 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 (*.f64 #s(literal -135/128 binary64) a) a) (/.f64 c (pow.f64 b #s(literal 7 binary64))) (*.f64 (/.f64 a (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 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 #s(literal -135/128 binary64) a) (/.f64 c (pow.f64 b #s(literal 7 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 #s(literal -135/128 binary64) a) (/.f64 c (pow.f64 b #s(literal 7 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 #s(literal -135/128 binary64) a) (/.f64 c (pow.f64 b #s(literal 7 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 #s(literal -3/8 binary64)) (/.f64 c (pow.f64 b #s(literal 3 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 #s(literal -9/16 binary64) (*.f64 a a)) (/.f64 c (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 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 a b)) #s(literal -1/6 binary64) (/.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 #s(literal -3/8 binary64)) (/.f64 c (pow.f64 b #s(literal 3 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 #s(literal -9/16 binary64) (*.f64 a a)) (/.f64 c (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 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 a b)) #s(literal -1/6 binary64) (/.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)
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(* (pow a 2) (+ (* -1 (/ (+ (* 3/8 (/ c (pow b 3))) (* 1/2 (/ 1 (* a b)))) a)) (* -9/16 (/ (pow c 2) (pow b 5)))))
(*.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) (/.f64 (fma.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) #s(literal 3/8 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 a b))) (neg.f64 a))) (*.f64 a 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 (neg.f64 b) b) a)))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))
(*.f64 (neg.f64 a) (fma.f64 #s(literal 3 binary64) c (/.f64 (*.f64 (neg.f64 b) b) a)))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))
(*.f64 (neg.f64 a) (fma.f64 #s(literal 3 binary64) c (/.f64 (*.f64 (neg.f64 b) b) a)))
(* -3/8 (/ a (pow b 3)))
(*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))
(* -3/8 (/ a (pow b 3)))
(*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))
(* -3/8 (/ a (pow b 3)))
(*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))
(* -3/8 (/ a (pow b 3)))
(*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))
(/ (pow a 2) (pow b 5))
(/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64)))
(/ (pow a 2) (pow b 5))
(/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64)))
(/ (pow a 2) (pow b 5))
(/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64)))
(/ (pow a 2) (pow b 5))
(/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64)))

rewrite354.0ms (2.9%)

Memory
3.6MiB live, 350.7MiB allocated
Rules
7 044×lower-*.f32
7 016×lower-*.f64
5 856×lower-fma.f32
5 842×lower-fma.f64
3 900×lower-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
064430
0110430
1413414
23259414
010548414
Stop Event
iter limit
node limit
iter limit
Counts
26 → 1 186
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 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64))
(/.f64 (-.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 -3/8 binary64) a) (*.f64 c (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#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))))
(*.f64 #s(literal -3/8 binary64) a)
(*.f64 c (/.f64 c (pow.f64 b #s(literal 3 binary64))))
(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)))
#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))
(*.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)
(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))
(/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64)))
(/.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)))
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))
(/.f64 c (pow.f64 b #s(literal 3 binary64)))
(*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))
(*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64))))
Outputs
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eval397.0ms (3.2%)

Memory
16.2MiB live, 704.0MiB allocated
Compiler

Compiled 81 932 to 7 302 computations (91.1% saved)

prune381.0ms (3.1%)

Memory
22.5MiB live, 457.0MiB allocated
Pruning

82 alts after pruning (81 fresh and 1 done)

PrunedKeptTotal
New2 070592 129
Fresh152237
Picked415
Done000
Total2 089822 171
Accuracy
99.3%
Counts
2 171 → 82
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.8%
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (pow.f64 a #s(literal -1 binary64)) (neg.f64 (/.f64 b a))) #s(literal 3 binary64))
55.3%
(/.f64 (pow.f64 a #s(literal -1 binary64)) (/.f64 #s(literal -3 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))
55.4%
(/.f64 (/.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 1/4 binary64)) (neg.f64 b)) a) #s(literal 3 binary64))
55.5%
(/.f64 (/.f64 (fma.f64 (sqrt.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) (sqrt.f64 (pow.f64 (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) c) (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (pow.f64 b #s(literal 4 binary64))) #s(literal -1 binary64))) (neg.f64 b)) a) #s(literal 3 binary64))
55.7%
(/.f64 (/.f64 (fma.f64 (sqrt.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -3 binary64) c) a) #s(literal 2 binary64)))) (sqrt.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) #s(literal -1 binary64))) (neg.f64 b)) a) #s(literal 3 binary64))
55.3%
(/.f64 (/.f64 (fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (neg.f64 b)) a) #s(literal 3 binary64))
55.4%
(/.f64 (/.f64 (/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (*.f64 (+.f64 #s(literal 0 binary64) b) (sqrt.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -3 binary64) c) a) #s(literal 2 binary64)))))) (*.f64 (+.f64 #s(literal 0 binary64) b) (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))))) a) #s(literal 3 binary64))
56.6%
(/.f64 (/.f64 (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a) #s(literal 3 binary64))
56.5%
(/.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (+.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (-.f64 (*.f64 b b) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (neg.f64 b))))) a) #s(literal 3 binary64))
56.5%
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (+.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 (*.f64 b b))) (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))))) a) #s(literal 3 binary64))
56.6%
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b)))) a) #s(literal 3 binary64))
56.6%
(/.f64 (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b)) (*.f64 a (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) #s(literal 3 binary64))
56.5%
(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.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) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) #s(literal 3 binary64))
54.3%
(/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 2 binary64)) (pow.f64 (/.f64 b a) #s(literal 2 binary64))) (+.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 b a))) #s(literal 3 binary64))
56.1%
(/.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (/.f64 (*.f64 b b) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) a) #s(literal 3 binary64))
56.2%
(/.f64 (/.f64 (-.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (fma.f64 b (+.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 (*.f64 b b)))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b (+.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 (*.f64 b b))))) a) #s(literal 3 binary64))
54.3%
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (*.f64 a b)) (*.f64 a a)) #s(literal 3 binary64))
54.3%
(/.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))
54.1%
(/.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))
55.3%
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))) b) a) #s(literal 3 binary64))
56.6%
(/.f64 (/.f64 (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b)) (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))
56.5%
(/.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (pow.f64 a #s(literal -1 binary64))) (fma.f64 b (+.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 (*.f64 b b)))) #s(literal 3 binary64))
81.5%
(/.f64 (/.f64 #s(approx (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (/.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 (*.f64 (*.f64 a c) c) a) b) (*.f64 (*.f64 #s(literal -3/2 binary64) c) a)) b)) a) #s(literal 3 binary64))
64.6%
(/.f64 (/.f64 #s(approx (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) a) #s(literal 3 binary64))
55.3%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) #s(literal 3 binary64))
56.6%
(/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b)) (*.f64 (*.f64 #s(literal 3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
56.5%
(/.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.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 (+.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 (*.f64 b b)))))
54.6%
(/.f64 (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 b a)) #s(literal 3 binary64))
55.3%
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64)))
55.3%
(/.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))
55.3%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 c #s(literal 3 binary64)) a)))) (*.f64 #s(literal 3 binary64) a))
54.9%
(/.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))
55.2%
(/.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))
55.3%
(/.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))
56.5%
(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.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 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))))
56.6%
(/.f64 (*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1/3 binary64) a)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))
54.8%
(/.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))
55.2%
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal 1/3 binary64)) a)
81.6%
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (/.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 (*.f64 a c) c) b) (*.f64 #s(literal -3/2 binary64) c)) b)) #s(literal 3 binary64))
90.8%
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (/.f64 (fma.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 a a)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 405/64 binary64))) (pow.f64 b #s(literal 6 binary64))) (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 (*.f64 a c) c) b) (*.f64 #s(literal -3/2 binary64) c)))) b)) #s(literal 3 binary64))
81.7%
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (*.f64 (fma.f64 (*.f64 #s(literal -9/8 binary64) a) (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal -3/2 binary64) b)) c)) #s(literal 3 binary64))
64.7%
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64))
81.5%
(/.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))
90.6%
(/.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))
90.6%
(/.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))
87.9%
(/.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))
64.7%
(/.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))
55.3%
(/.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)))
55.3%
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal 1/3 binary64))))
55.3%
(/.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)))
55.3%
(/.f64 #s(literal 1/3 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
54.1%
(-.f64 (/.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 3 binary64)) (/.f64 (/.f64 b a) #s(literal 3 binary64)))
54.5%
(-.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))))
55.3%
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 1/3 binary64))
55.2%
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))
55.2%
(*.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)))
55.3%
(*.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (pow.f64 (*.f64 #s(literal -3 binary64) a) #s(literal -1 binary64)))
81.9%
#s(approx (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (/.f64 (fma.f64 (/.f64 (*.f64 a #s(literal -3/8 binary64)) b) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -1/2 binary64) c)) b))
91.0%
#s(approx (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (/.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 (*.f64 a #s(literal -3/8 binary64)) b) (/.f64 (*.f64 c c) b) (fma.f64 (/.f64 #s(literal -1/6 binary64) a) (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 405/64 binary64))) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal -1/2 binary64) c)))) b))
88.2%
#s(approx (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (/.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 (*.f64 a #s(literal -3/8 binary64)) b) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -1/2 binary64) c))) b))
90.9%
#s(approx (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 a b)) #s(literal -1/6 binary64) (/.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))
81.7%
#s(approx (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (*.f64 (fma.f64 (*.f64 a #s(literal -3/8 binary64)) (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) b)) c))
11.6%
#s(approx (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))))
90.9%
#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 c (/.f64 #s(literal -1/2 binary64) b))))
81.9%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (/.f64 (/.f64 (*.f64 c c) (*.f64 b b)) b) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
81.7%
#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 #s(literal -1/2 binary64) (/.f64 b c))))
91.1%
#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 (fma.f64 (*.f64 (*.f64 (*.f64 b c) c) b) #s(literal -3/8 binary64) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) b) b (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
88.3%
#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 -9/16 binary64) a) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal 3 binary64)))) (*.f64 c c))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
81.8%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 c (/.f64 #s(literal -1/2 binary64) b) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) a) c) c) (pow.f64 b #s(literal -3 binary64)))))
64.7%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c)))
88.1%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 #s(approx (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) (/.f64 (fma.f64 (*.f64 (*.f64 b b) a) #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 a a) c) #s(literal -9/16 binary64))) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 #s(literal -1/2 binary64) b)) c))
64.7%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
87.9%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a c) c) a) (pow.f64 b #s(literal 4 binary64))) #s(literal 9/16 binary64) (fma.f64 (*.f64 #s(literal 3/8 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1/2 binary64))) (neg.f64 b))) c))
87.7%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) (*.f64 (*.f64 a c) #s(literal -3/8 binary64))) b) b (*.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -9/16 binary64)) c)) (pow.f64 b #s(literal 5 binary64)))) c))
81.6%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (*.f64 #s(literal 3/8 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1/2 binary64)) (neg.f64 b))) c))
64.7%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c))
87.8%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (*.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) (fma.f64 (/.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) c) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b c) c)))) (*.f64 c c))) c))
87.8%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (*.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) (/.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal 3/8 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 b c))) (neg.f64 c))) (*.f64 c c))) c))
81.7%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (+ (* (* -3/8 a) (* c (/ c (pow b 3)))) (* (/ c b) -1/2)) (/.f64 (fma.f64 (*.f64 (*.f64 b c) b) #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 a c) c) #s(literal -3/8 binary64))) (pow.f64 b #s(literal 3 binary64)))))
81.7%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (+ (* (* -3/8 a) (* c (/ c (pow b 3)))) (* (/ c b) -1/2)) (*.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 c b) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a)))
87.8%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) c) (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 b c) b) #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 a c) c) #s(literal -3/8 binary64))) b) b (*.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) #s(literal -9/16 binary64))) (pow.f64 b #s(literal 5 binary64)))))
87.9%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) c) (*.f64 (neg.f64 (pow.f64 c #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) #s(literal 9/16 binary64) (/.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 b c))) (neg.f64 c))))))
Compiler

Compiled 4 450 to 2 875 computations (35.4% saved)

simplify135.0ms (1.1%)

Memory
-22.3MiB live, 125.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64))
cost-diff0
(-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))
cost-diff0
(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.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) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) #s(literal 3 binary64))
cost-diff192
(fma.f64 b (+.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 (*.f64 b b)))
cost-diff0
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)
cost-diff0
(*.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (pow.f64 (*.f64 #s(literal -3 binary64) a) #s(literal -1 binary64)))
cost-diff128
(neg.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))
cost-diff6080
(pow.f64 (*.f64 #s(literal -3 binary64) a) #s(literal -1 binary64))
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) c (*.f64 b (/.f64 b a))) a)))) (*.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) c (*.f64 b (/.f64 b a))) a))))
cost-diff704
(*.f64 (fma.f64 #s(literal -3 binary64) c (*.f64 b (/.f64 b a))) a)
cost-diff0
(/.f64 #s(literal -1/2 binary64) b)
cost-diff0
#s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b))
cost-diff0
(*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c)
cost-diff0
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c))
cost-diff0
#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 (fma.f64 (*.f64 (*.f64 (*.f64 b c) c) b) #s(literal -3/8 binary64) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) b) b (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a))) (pow.f64 b #s(literal 7 binary64))))
cost-diff0
(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 (fma.f64 (*.f64 (*.f64 (*.f64 b c) c) b) #s(literal -3/8 binary64) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) b) b (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a))) (pow.f64 b #s(literal 7 binary64)))) 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 #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 (fma.f64 (*.f64 (*.f64 (*.f64 b c) c) b) #s(literal -3/8 binary64) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) b) b (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
cost-diff6464
(fma.f64 (*.f64 (*.f64 (*.f64 b c) c) b) #s(literal -3/8 binary64) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64)))
Rules
5 264×lower-*.f32
5 226×lower-*.f64
4 786×lower-fma.f32
4 774×lower-fma.f64
1 664×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0104922
0156926
1287912
2700904
32038885
45477871
08239848
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 #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 (fma.f64 (*.f64 (*.f64 (*.f64 b c) c) b) #s(literal -3/8 binary64) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) b) b (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
(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 (fma.f64 (*.f64 (*.f64 (*.f64 b c) c) b) #s(literal -3/8 binary64) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) b) b (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#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 (fma.f64 (*.f64 (*.f64 (*.f64 b c) c) b) #s(literal -3/8 binary64) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) b) b (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a))) (pow.f64 b #s(literal 7 binary64))))
(/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 b c) c) b) #s(literal -3/8 binary64) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) b) b (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a))) (pow.f64 b #s(literal 7 binary64)))
(fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 b c) c) b) #s(literal -3/8 binary64) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) b) b (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a)))
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 b c) c) b) #s(literal -3/8 binary64) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) b)
(fma.f64 (*.f64 (*.f64 (*.f64 b c) c) b) #s(literal -3/8 binary64) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64)))
(*.f64 (*.f64 (*.f64 b c) c) b)
(*.f64 (*.f64 b c) c)
(*.f64 b c)
b
c
#s(literal -3/8 binary64)
(*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))
(*.f64 (pow.f64 c #s(literal 3 binary64)) a)
(pow.f64 c #s(literal 3 binary64))
#s(literal 3 binary64)
a
#s(literal -9/16 binary64)
(*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a))
(*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64)))
#s(literal -135/128 binary64)
(pow.f64 c #s(literal 4 binary64))
#s(literal 4 binary64)
(*.f64 a a)
(pow.f64 b #s(literal 7 binary64))
#s(literal 7 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 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c))
(*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c)
#s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b))
(/.f64 #s(literal -1/2 binary64) b)
#s(literal -1/2 binary64)
b
c
(/.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 (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))))
(neg.f64 b)
b
(sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (*.f64 b (/.f64 b a))) a)))
#s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (*.f64 b (/.f64 b a))) a))
(*.f64 (fma.f64 #s(literal -3 binary64) c (*.f64 b (/.f64 b a))) a)
(fma.f64 #s(literal -3 binary64) c (*.f64 b (/.f64 b a)))
#s(literal -3 binary64)
c
(*.f64 b (/.f64 b a))
(/.f64 b a)
a
(*.f64 #s(literal 3 binary64) a)
#s(literal 3 binary64)
(*.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (pow.f64 (*.f64 #s(literal -3 binary64) a) #s(literal -1 binary64)))
(neg.f64 (-.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 #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
(pow.f64 (*.f64 #s(literal -3 binary64) a) #s(literal -1 binary64))
(*.f64 #s(literal -3 binary64) a)
#s(literal -1 binary64)
(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.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) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) #s(literal 3 binary64))
(/.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.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) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))
(-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))
(pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64))
(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
#s(literal 3/2 binary64)
(pow.f64 b #s(literal 3 binary64))
#s(literal 3 binary64)
(*.f64 a (fma.f64 b (+.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 (*.f64 b b))))
(fma.f64 b (+.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 (*.f64 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)))
Outputs
#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 (fma.f64 (*.f64 (*.f64 (*.f64 b c) c) b) #s(literal -3/8 binary64) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) b) b (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a))) (pow.f64 b #s(literal 7 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 #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 b b) (*.f64 (*.f64 c c) (fma.f64 (*.f64 b b) #s(literal -3/8 binary64) (*.f64 (*.f64 #s(literal -9/16 binary64) c) a))) (*.f64 (*.f64 #s(literal -135/128 binary64) a) (*.f64 (pow.f64 c #s(literal 4 binary64)) a))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b))))
(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 (fma.f64 (*.f64 (*.f64 (*.f64 b c) c) b) #s(literal -3/8 binary64) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) b) b (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
(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 b b) (*.f64 (*.f64 c c) (fma.f64 (*.f64 b b) #s(literal -3/8 binary64) (*.f64 (*.f64 #s(literal -9/16 binary64) c) a))) (*.f64 (*.f64 #s(literal -135/128 binary64) a) (*.f64 (pow.f64 c #s(literal 4 binary64)) a))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))
#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 (fma.f64 (*.f64 (*.f64 (*.f64 b c) c) b) #s(literal -3/8 binary64) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) b) b (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a))) (pow.f64 b #s(literal 7 binary64))))
#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 b b) (*.f64 (*.f64 c c) (fma.f64 (*.f64 b b) #s(literal -3/8 binary64) (*.f64 (*.f64 #s(literal -9/16 binary64) c) a))) (*.f64 (*.f64 #s(literal -135/128 binary64) a) (*.f64 (pow.f64 c #s(literal 4 binary64)) a))) (pow.f64 b #s(literal 7 binary64))))
(/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 b c) c) b) #s(literal -3/8 binary64) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) b) b (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a))) (pow.f64 b #s(literal 7 binary64)))
(/.f64 (fma.f64 (*.f64 b b) (*.f64 (*.f64 c c) (fma.f64 (*.f64 b b) #s(literal -3/8 binary64) (*.f64 (*.f64 #s(literal -9/16 binary64) c) a))) (*.f64 (*.f64 #s(literal -135/128 binary64) a) (*.f64 (pow.f64 c #s(literal 4 binary64)) a))) (pow.f64 b #s(literal 7 binary64)))
(fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 b c) c) b) #s(literal -3/8 binary64) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) b) b (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a)))
(fma.f64 (*.f64 b b) (*.f64 (*.f64 c c) (fma.f64 (*.f64 b b) #s(literal -3/8 binary64) (*.f64 (*.f64 #s(literal -9/16 binary64) c) a))) (*.f64 (*.f64 #s(literal -135/128 binary64) a) (*.f64 (pow.f64 c #s(literal 4 binary64)) a)))
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 b c) c) b) #s(literal -3/8 binary64) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) b)
(*.f64 (*.f64 (*.f64 c c) (fma.f64 (*.f64 b b) #s(literal -3/8 binary64) (*.f64 (*.f64 #s(literal -9/16 binary64) c) a))) b)
(fma.f64 (*.f64 (*.f64 (*.f64 b c) c) b) #s(literal -3/8 binary64) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64)))
(*.f64 (*.f64 c c) (fma.f64 (*.f64 b b) #s(literal -3/8 binary64) (*.f64 (*.f64 #s(literal -9/16 binary64) c) a)))
(*.f64 (*.f64 (*.f64 b c) c) b)
(*.f64 (*.f64 (*.f64 c b) c) b)
(*.f64 (*.f64 b c) c)
(*.f64 (*.f64 c b) c)
(*.f64 b c)
(*.f64 c b)
b
c
#s(literal -3/8 binary64)
(*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))
(*.f64 (pow.f64 c #s(literal 3 binary64)) a)
(pow.f64 c #s(literal 3 binary64))
#s(literal 3 binary64)
a
#s(literal -9/16 binary64)
(*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a))
(*.f64 (*.f64 #s(literal -135/128 binary64) a) (*.f64 (pow.f64 c #s(literal 4 binary64)) a))
(*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64)))
(*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal -135/128 binary64))
#s(literal -135/128 binary64)
(pow.f64 c #s(literal 4 binary64))
#s(literal 4 binary64)
(*.f64 a a)
(pow.f64 b #s(literal 7 binary64))
#s(literal 7 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 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c))
(*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c)
#s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b))
(/.f64 #s(literal -1/2 binary64) b)
#s(literal -1/2 binary64)
b
c
(/.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 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) b) (*.f64 a #s(literal 3 binary64)))
(+.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 (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) c (*.f64 b (/.f64 b a))) a)))
(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) c (*.f64 b (/.f64 b a))) a))
#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) c (*.f64 b (/.f64 b a))) a)
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))
(fma.f64 #s(literal -3 binary64) c (*.f64 b (/.f64 b a)))
(fma.f64 #s(literal -3 binary64) c (*.f64 (/.f64 b a) b))
#s(literal -3 binary64)
c
(*.f64 b (/.f64 b a))
(*.f64 (/.f64 b a) b)
(/.f64 b a)
a
(*.f64 #s(literal 3 binary64) a)
(*.f64 a #s(literal 3 binary64))
#s(literal 3 binary64)
(*.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (pow.f64 (*.f64 #s(literal -3 binary64) a) #s(literal -1 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))
(neg.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))
(-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 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 #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
(pow.f64 (*.f64 #s(literal -3 binary64) a) #s(literal -1 binary64))
(/.f64 #s(literal -1/3 binary64) a)
(*.f64 #s(literal -3 binary64) a)
#s(literal -1 binary64)
(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.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) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) #s(literal 3 binary64))
(/.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (fma.f64 (+.f64 (+.f64 b b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 #s(literal -3 binary64) a) c))) #s(literal 3 binary64)) a)
(/.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.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) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (fma.f64 (+.f64 (+.f64 b b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 #s(literal -3 binary64) a) c))) a)
(-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))
(pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64))
(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
#s(literal 3/2 binary64)
(pow.f64 b #s(literal 3 binary64))
#s(literal 3 binary64)
(*.f64 a (fma.f64 b (+.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 (*.f64 b b))))
(*.f64 (fma.f64 (+.f64 (+.f64 b b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 #s(literal -3 binary64) a) c)) a)
(fma.f64 b (+.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 (*.f64 b b)))
(fma.f64 (+.f64 (+.f64 b b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b 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)
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))

localize337.0ms (2.7%)

Memory
-5.6MiB live, 494.0MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.2990796394377056
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))
accuracy0.33984375
(/.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.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) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))
accuracy0.4375
(pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64))
accuracy27.17784225319706
(-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))
accuracy0.2990796394377056
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))
accuracy0.30078125
(pow.f64 (*.f64 #s(literal -3 binary64) a) #s(literal -1 binary64))
accuracy0.36947250976844204
(*.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (pow.f64 (*.f64 #s(literal -3 binary64) a) #s(literal -1 binary64)))
accuracy28.503385392793493
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)
accuracy0.30859375
(*.f64 b (/.f64 b a))
accuracy0.3203125
(*.f64 (fma.f64 #s(literal -3 binary64) c (*.f64 b (/.f64 b a))) a)
accuracy0.363945019536884
(/.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))
accuracy28.503385392793493
(+.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))))
accuracy0
(/.f64 #s(literal -1/2 binary64) b)
accuracy0.31640625
(*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c)
accuracy7.407880566399262
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c))
accuracy22.50053140540111
#s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b))
accuracy0.3125
(*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64)))
accuracy0.37337875976844204
(*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a))
accuracy0.4069137695368841
(/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 b c) c) b) #s(literal -3/8 binary64) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) b) b (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a))) (pow.f64 b #s(literal 7 binary64)))
accuracy5.575337480661875
#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 (fma.f64 (*.f64 (*.f64 (*.f64 b c) c) b) #s(literal -3/8 binary64) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) b) b (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
Samples
142.0ms88×1valid
115.0ms168×0valid
Compiler

Compiled 726 to 96 computations (86.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 212.0ms
ival-mult: 99.0ms (46.8% of total)
ival-pow: 34.0ms (16.1% of total)
ival-div: 25.0ms (11.8% of total)
ival-add: 21.0ms (9.9% of total)
adjust: 12.0ms (5.7% of total)
ival-sub: 7.0ms (3.3% of total)
ival-sqrt: 5.0ms (2.4% of total)
const: 4.0ms (1.9% of total)
ival-neg: 3.0ms (1.4% of total)
exact: 2.0ms (0.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series200.0ms (1.6%)

Memory
8.0MiB live, 358.8MiB allocated
Counts
26 → 816
Calls
Call 1
Inputs
#s(alt (fma.f64 (*.f64 (*.f64 (*.f64 b c) c) b) #s(literal -3/8 binary64) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) (patch (fma.f64 (*.f64 (*.f64 (*.f64 b c) c) b) #s(literal -3/8 binary64) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) #<representation binary64>) () ())
#s(alt #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 (fma.f64 (*.f64 (*.f64 (*.f64 b c) c) b) #s(literal -3/8 binary64) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) b) b (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a))) (pow.f64 b #s(literal 7 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 #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 (fma.f64 (*.f64 (*.f64 (*.f64 b c) c) b) #s(literal -3/8 binary64) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) b) b (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) #<representation binary64>) () ())
#s(alt (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 (fma.f64 (*.f64 (*.f64 (*.f64 b c) c) b) #s(literal -3/8 binary64) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) b) b (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) (patch (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 (fma.f64 (*.f64 (*.f64 (*.f64 b c) c) b) #s(literal -3/8 binary64) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) b) b (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) #<representation binary64>) () ())
#s(alt #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 (fma.f64 (*.f64 (*.f64 (*.f64 b c) c) b) #s(literal -3/8 binary64) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) b) b (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a))) (pow.f64 b #s(literal 7 binary64)))) (patch #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 (fma.f64 (*.f64 (*.f64 (*.f64 b c) c) b) #s(literal -3/8 binary64) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) b) b (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a))) (pow.f64 b #s(literal 7 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c)) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c) (patch (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) (patch #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.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 (fma.f64 #s(literal -3 binary64) c (*.f64 b (/.f64 b a))) a) (patch (*.f64 (fma.f64 #s(literal -3 binary64) c (*.f64 b (/.f64 b a))) a) #<representation binary64>) () ())
#s(alt (+.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)))) (patch (+.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)))) #<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) c (*.f64 b (/.f64 b a))) a)))) (*.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) c (*.f64 b (/.f64 b a))) a)))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())
#s(alt (neg.f64 b) (patch (neg.f64 b) #<representation binary64>) () ())
#s(alt (pow.f64 (*.f64 #s(literal -3 binary64) a) #s(literal -1 binary64)) (patch (pow.f64 (*.f64 #s(literal -3 binary64) a) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (neg.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (patch (neg.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) #<representation binary64>) () ())
#s(alt (*.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (pow.f64 (*.f64 #s(literal -3 binary64) a) #s(literal -1 binary64))) (patch (*.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (pow.f64 (*.f64 #s(literal -3 binary64) a) #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 b (+.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 (*.f64 b b))) (patch (fma.f64 b (+.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 (*.f64 b b))) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.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) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) #s(literal 3 binary64)) (patch (/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.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) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (patch (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (patch (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 b c) c) b) #s(literal -3/8 binary64) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) b) b (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a))) (pow.f64 b #s(literal 7 binary64))) (patch (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 b c) c) b) #s(literal -3/8 binary64) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) b) b (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a))) (pow.f64 b #s(literal 7 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a)) (patch (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (patch (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 b (/.f64 b a)) (patch (*.f64 b (/.f64 b a)) #<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 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.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) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) (patch (/.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.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) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) #<representation binary64>) () ())
Outputs
#s(alt (* -3/8 (* (pow b 2) (pow c 2))) (taylor 0 c) (#s(alt (fma.f64 (*.f64 (*.f64 (*.f64 b c) c) b) #s(literal -3/8 binary64) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) (patch (fma.f64 (*.f64 (*.f64 (*.f64 b c) c) b) #s(literal -3/8 binary64) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (+ (* -9/16 (* a c)) (* -3/8 (pow b 2)))) (taylor 0 c) (#s(alt (fma.f64 (*.f64 (*.f64 (*.f64 b c) c) b) #s(literal -3/8 binary64) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) (patch (fma.f64 (*.f64 (*.f64 (*.f64 b c) c) b) #s(literal -3/8 binary64) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (+ (* -9/16 (* a c)) (* -3/8 (pow b 2)))) (taylor 0 c) (#s(alt (fma.f64 (*.f64 (*.f64 (*.f64 b c) c) b) #s(literal -3/8 binary64) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) (patch (fma.f64 (*.f64 (*.f64 (*.f64 b c) c) b) #s(literal -3/8 binary64) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (+ (* -9/16 (* a c)) (* -3/8 (pow b 2)))) (taylor 0 c) (#s(alt (fma.f64 (*.f64 (*.f64 (*.f64 b c) c) b) #s(literal -3/8 binary64) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) (patch (fma.f64 (*.f64 (*.f64 (*.f64 b c) c) b) #s(literal -3/8 binary64) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ c b)) (taylor 0 c) (#s(alt #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 (fma.f64 (*.f64 (*.f64 (*.f64 b c) c) b) #s(literal -3/8 binary64) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) b) b (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a))) (pow.f64 b #s(literal 7 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 #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 (fma.f64 (*.f64 (*.f64 (*.f64 b c) c) b) #s(literal -3/8 binary64) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) b) b (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt #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 (fma.f64 (*.f64 (*.f64 (*.f64 b c) c) b) #s(literal -3/8 binary64) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) b) b (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a))) (pow.f64 b #s(literal 7 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 #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 (fma.f64 (*.f64 (*.f64 (*.f64 b c) c) b) #s(literal -3/8 binary64) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) b) b (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt #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 (fma.f64 (*.f64 (*.f64 (*.f64 b c) c) b) #s(literal -3/8 binary64) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) b) b (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a))) (pow.f64 b #s(literal 7 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 #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 (fma.f64 (*.f64 (*.f64 (*.f64 b c) c) b) #s(literal -3/8 binary64) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) b) b (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt #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 (fma.f64 (*.f64 (*.f64 (*.f64 b c) c) b) #s(literal -3/8 binary64) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) b) b (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a))) (pow.f64 b #s(literal 7 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 #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 (fma.f64 (*.f64 (*.f64 (*.f64 b c) c) b) #s(literal -3/8 binary64) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) b) b (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ c b)) (taylor 0 c) (#s(alt (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 (fma.f64 (*.f64 (*.f64 (*.f64 b c) c) b) #s(literal -3/8 binary64) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) b) b (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) (patch (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 (fma.f64 (*.f64 (*.f64 (*.f64 b c) c) b) #s(literal -3/8 binary64) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) b) b (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt (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 (fma.f64 (*.f64 (*.f64 (*.f64 b c) c) b) #s(literal -3/8 binary64) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) b) b (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) (patch (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 (fma.f64 (*.f64 (*.f64 (*.f64 b c) c) b) #s(literal -3/8 binary64) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) b) b (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt (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 (fma.f64 (*.f64 (*.f64 (*.f64 b c) c) b) #s(literal -3/8 binary64) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) b) b (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) (patch (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 (fma.f64 (*.f64 (*.f64 (*.f64 b c) c) b) #s(literal -3/8 binary64) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) b) b (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -135/128 (/ (* (pow a 3) c) (pow b 7))) (* -9/16 (/ (pow a 2) (pow b 5))))))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt (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 (fma.f64 (*.f64 (*.f64 (*.f64 b c) c) b) #s(literal -3/8 binary64) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) b) b (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) (patch (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 (fma.f64 (*.f64 (*.f64 (*.f64 b c) c) b) #s(literal -3/8 binary64) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) b) b (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -3/8 (/ (pow c 2) (pow b 3))) (taylor 0 c) (#s(alt #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 (fma.f64 (*.f64 (*.f64 (*.f64 b c) c) b) #s(literal -3/8 binary64) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) b) b (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a))) (pow.f64 b #s(literal 7 binary64)))) (patch #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 (fma.f64 (*.f64 (*.f64 (*.f64 b c) c) b) #s(literal -3/8 binary64) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) b) b (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a))) (pow.f64 b #s(literal 7 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 #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 (fma.f64 (*.f64 (*.f64 (*.f64 b c) c) b) #s(literal -3/8 binary64) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) b) b (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a))) (pow.f64 b #s(literal 7 binary64)))) (patch #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 (fma.f64 (*.f64 (*.f64 (*.f64 b c) c) b) #s(literal -3/8 binary64) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) b) b (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a))) (pow.f64 b #s(literal 7 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 #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 (fma.f64 (*.f64 (*.f64 (*.f64 b c) c) b) #s(literal -3/8 binary64) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) b) b (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a))) (pow.f64 b #s(literal 7 binary64)))) (patch #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 (fma.f64 (*.f64 (*.f64 (*.f64 b c) c) b) #s(literal -3/8 binary64) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) b) b (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a))) (pow.f64 b #s(literal 7 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 #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 (fma.f64 (*.f64 (*.f64 (*.f64 b c) c) b) #s(literal -3/8 binary64) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) b) b (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a))) (pow.f64 b #s(literal 7 binary64)))) (patch #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 (fma.f64 (*.f64 (*.f64 (*.f64 b c) c) b) #s(literal -3/8 binary64) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) b) b (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a))) (pow.f64 b #s(literal 7 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) (taylor inf b) (#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>) () ())) ())
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#s(alt (* 1/18 (/ (+ (* -6 (* a c)) (* -3 (* a c))) (* a b))) (taylor inf b) (#s(alt (/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.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) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) #s(literal 3 binary64)) (patch (/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.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) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
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#s(alt (/ (+ (* 1/18 (/ (+ (* -6 (* a c)) (* -3 (* a c))) a)) (+ (* 1/3 (/ (- (* 1/6 (/ (- (* -27 (* (pow a 3) (pow c 3))) (* 1/2 (* (+ (* -6 (* a c)) (* -3 (* a c))) (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2)))))) a)) (+ (* -1/16 (* a (* (pow c 2) (+ (* -6 (* a c)) (* -3 (* a c)))))) (* 1/3 (* (+ (* -3 (* a c)) (* -3/2 (* a c))) (- (* 1/6 (/ (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) a)) (* 1/18 (/ (* (+ (* -6 (* a c)) (* -3 (* a c))) (+ (* -3 (* a c)) (* -3/2 (* a c)))) a))))))) (pow b 4))) (* 1/3 (/ (- (* 1/6 (/ (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) a)) (* 1/18 (/ (* (+ (* -6 (* a c)) (* -3 (* a c))) (+ (* -3 (* a c)) (* -3/2 (* a c)))) a))) (pow b 2))))) b) (taylor inf b) (#s(alt (/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.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) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) #s(literal 3 binary64)) (patch (/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.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) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* 1/2 (* b (+ (* -6 (* a c)) (* -3 (* a c))))) (taylor inf b) (#s(alt (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (patch (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* b (+ (* 1/2 (+ (* -6 (* a c)) (* -3 (* a c)))) (* 1/2 (/ (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) (pow b 2))))) (taylor inf b) (#s(alt (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (patch (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* b (+ (* 1/2 (+ (* -6 (* a c)) (* -3 (* a c)))) (+ (* 1/2 (/ (- (* -27 (* (pow a 3) (pow c 3))) (* 1/2 (* (+ (* -6 (* a c)) (* -3 (* a c))) (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2)))))) (pow b 4))) (* 1/2 (/ (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) (pow b 2)))))) (taylor inf b) (#s(alt (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (patch (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* b (+ (* -1/2 (/ (+ (* 1/4 (pow (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) 2)) (* 1/2 (* (+ (* -6 (* a c)) (* -3 (* a c))) (- (* -27 (* (pow a 3) (pow c 3))) (* 1/2 (* (+ (* -6 (* a c)) (* -3 (* a c))) (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))))))))) (pow b 6))) (+ (* 1/2 (+ (* -6 (* a c)) (* -3 (* a c)))) (+ (* 1/2 (/ (- (* -27 (* (pow a 3) (pow c 3))) (* 1/2 (* (+ (* -6 (* a c)) (* -3 (* a c))) (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2)))))) (pow b 4))) (* 1/2 (/ (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) (pow b 2))))))) (taylor inf b) (#s(alt (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (patch (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow b 3) (taylor inf b) (#s(alt (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (patch (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 3) (+ 1 (* 1/2 (/ (+ (* -6 (* a c)) (* -3 (* a c))) (pow b 2))))) (taylor inf b) (#s(alt (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (patch (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 3) (+ 1 (+ (* 1/2 (/ (+ (* -6 (* a c)) (* -3 (* a c))) (pow b 2))) (* 1/2 (/ (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) (pow b 4)))))) (taylor inf b) (#s(alt (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (patch (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 3) (+ 1 (+ (* 1/2 (/ (+ (* -6 (* a c)) (* -3 (* a c))) (pow b 2))) (+ (* 1/2 (/ (- (* -27 (* (pow a 3) (pow c 3))) (* 1/2 (* (+ (* -6 (* a c)) (* -3 (* a c))) (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2)))))) (pow b 6))) (* 1/2 (/ (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) (pow b 4))))))) (taylor inf b) (#s(alt (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (patch (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) #<representation binary64>) () ())) ())
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Calls

9 calls:

TimeVariablePointExpression
22.0ms
c
@-inf
((+ (* (* (* (* b c) c) b) -3/8) (* (* (pow c 3) a) -9/16)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (* (+ (* (+ (* (* -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))) a) (* (/ c b) -1/2)) (+ (* (+ (* (* -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))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) c) (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/ -1/2 b) (* (+ (* -3 c) (* b (/ b a))) a) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (neg b) (pow (* -3 a) -1) (neg (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (* (neg (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (pow (* -3 a) -1)) (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (+ (* b (+ (sqrt (+ (* (* -3 c) a) (* b b))) b)) (+ (* (* -3 c) a) (* b b))) (/ (/ (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) (* a (+ (* b (+ (sqrt (+ (* (* -3 c) a) (* b b))) b)) (+ (* (* -3 c) a) (* b b))))) 3) (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) (pow (+ (* (* -3 c) a) (* b b)) 3/2) (/ (+ (* (* (+ (* (* (* (* b c) c) b) -3/8) (* (* (pow c 3) a) -9/16)) b) b) (* (* -135/128 (pow c 4)) (* a a))) (pow b 7)) (* (* -135/128 (pow c 4)) (* a a)) (* -135/128 (pow c 4)) (* b (/ b a)) (+ (* (* -3 c) a) (* b b)) (/ (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) (* a (+ (* b (+ (sqrt (+ (* (* -3 c) a) (* b b))) b)) (+ (* (* -3 c) a) (* b b))))))
20.0ms
b
@0
((+ (* (* (* (* b c) c) b) -3/8) (* (* (pow c 3) a) -9/16)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (* (+ (* (+ (* (* -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))) a) (* (/ c b) -1/2)) (+ (* (+ (* (* -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))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) c) (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/ -1/2 b) (* (+ (* -3 c) (* b (/ b a))) a) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (neg b) (pow (* -3 a) -1) (neg (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (* (neg (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (pow (* -3 a) -1)) (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (+ (* b (+ (sqrt (+ (* (* -3 c) a) (* b b))) b)) (+ (* (* -3 c) a) (* b b))) (/ (/ (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) (* a (+ (* b (+ (sqrt (+ (* (* -3 c) a) (* b b))) b)) (+ (* (* -3 c) a) (* b b))))) 3) (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) (pow (+ (* (* -3 c) a) (* b b)) 3/2) (/ (+ (* (* (+ (* (* (* (* b c) c) b) -3/8) (* (* (pow c 3) a) -9/16)) b) b) (* (* -135/128 (pow c 4)) (* a a))) (pow b 7)) (* (* -135/128 (pow c 4)) (* a a)) (* -135/128 (pow c 4)) (* b (/ b a)) (+ (* (* -3 c) a) (* b b)) (/ (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) (* a (+ (* b (+ (sqrt (+ (* (* -3 c) a) (* b b))) b)) (+ (* (* -3 c) a) (* b b))))))
15.0ms
b
@-inf
((+ (* (* (* (* b c) c) b) -3/8) (* (* (pow c 3) a) -9/16)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (* (+ (* (+ (* (* -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))) a) (* (/ c b) -1/2)) (+ (* (+ (* (* -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))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) c) (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/ -1/2 b) (* (+ (* -3 c) (* b (/ b a))) a) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (neg b) (pow (* -3 a) -1) (neg (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (* (neg (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (pow (* -3 a) -1)) (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (+ (* b (+ (sqrt (+ (* (* -3 c) a) (* b b))) b)) (+ (* (* -3 c) a) (* b b))) (/ (/ (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) (* a (+ (* b (+ (sqrt (+ (* (* -3 c) a) (* b b))) b)) (+ (* (* -3 c) a) (* b b))))) 3) (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) (pow (+ (* (* -3 c) a) (* b b)) 3/2) (/ (+ (* (* (+ (* (* (* (* b c) c) b) -3/8) (* (* (pow c 3) a) -9/16)) b) b) (* (* -135/128 (pow c 4)) (* a a))) (pow b 7)) (* (* -135/128 (pow c 4)) (* a a)) (* -135/128 (pow c 4)) (* b (/ b a)) (+ (* (* -3 c) a) (* b b)) (/ (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) (* a (+ (* b (+ (sqrt (+ (* (* -3 c) a) (* b b))) b)) (+ (* (* -3 c) a) (* b b))))))
14.0ms
c
@inf
((+ (* (* (* (* b c) c) b) -3/8) (* (* (pow c 3) a) -9/16)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (* (+ (* (+ (* (* -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))) a) (* (/ c b) -1/2)) (+ (* (+ (* (* -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))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) c) (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/ -1/2 b) (* (+ (* -3 c) (* b (/ b a))) a) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (neg b) (pow (* -3 a) -1) (neg (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (* (neg (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (pow (* -3 a) -1)) (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (+ (* b (+ (sqrt (+ (* (* -3 c) a) (* b b))) b)) (+ (* (* -3 c) a) (* b b))) (/ (/ (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) (* a (+ (* b (+ (sqrt (+ (* (* -3 c) a) (* b b))) b)) (+ (* (* -3 c) a) (* b b))))) 3) (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) (pow (+ (* (* -3 c) a) (* b b)) 3/2) (/ (+ (* (* (+ (* (* (* (* b c) c) b) -3/8) (* (* (pow c 3) a) -9/16)) b) b) (* (* -135/128 (pow c 4)) (* a a))) (pow b 7)) (* (* -135/128 (pow c 4)) (* a a)) (* -135/128 (pow c 4)) (* b (/ b a)) (+ (* (* -3 c) a) (* b b)) (/ (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) (* a (+ (* b (+ (sqrt (+ (* (* -3 c) a) (* b b))) b)) (+ (* (* -3 c) a) (* b b))))))
13.0ms
b
@inf
((+ (* (* (* (* b c) c) b) -3/8) (* (* (pow c 3) a) -9/16)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (* (+ (* (+ (* (* -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))) a) (* (/ c b) -1/2)) (+ (* (+ (* (* -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))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) c) (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/ -1/2 b) (* (+ (* -3 c) (* b (/ b a))) a) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (neg b) (pow (* -3 a) -1) (neg (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (* (neg (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (pow (* -3 a) -1)) (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (+ (* b (+ (sqrt (+ (* (* -3 c) a) (* b b))) b)) (+ (* (* -3 c) a) (* b b))) (/ (/ (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) (* a (+ (* b (+ (sqrt (+ (* (* -3 c) a) (* b b))) b)) (+ (* (* -3 c) a) (* b b))))) 3) (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) (pow (+ (* (* -3 c) a) (* b b)) 3/2) (/ (+ (* (* (+ (* (* (* (* b c) c) b) -3/8) (* (* (pow c 3) a) -9/16)) b) b) (* (* -135/128 (pow c 4)) (* a a))) (pow b 7)) (* (* -135/128 (pow c 4)) (* a a)) (* -135/128 (pow c 4)) (* b (/ b a)) (+ (* (* -3 c) a) (* b b)) (/ (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) (* a (+ (* b (+ (sqrt (+ (* (* -3 c) a) (* b b))) b)) (+ (* (* -3 c) a) (* b b))))))

simplify313.0ms (2.5%)

Memory
55.8MiB live, 432.0MiB allocated
Algorithm
egg-herbie
Rules
6 512×lower-*.f64
6 512×lower-*.f32
4 644×lower-fma.f64
4 644×lower-fma.f32
4 138×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0222530778
1646130582
0806429333
Stop Event
iter limit
node limit
Counts
816 → 816
Calls
Call 1
Inputs
(* -3/8 (* (pow b 2) (pow c 2)))
(* (pow c 2) (+ (* -9/16 (* a c)) (* -3/8 (pow b 2))))
(* (pow c 2) (+ (* -9/16 (* a c)) (* -3/8 (pow b 2))))
(* (pow c 2) (+ (* -9/16 (* a c)) (* -3/8 (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))))
(* -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 (+ (* -135/128 (/ (* (pow a 3) c) (pow b 7))) (* -9/16 (/ (pow a 2) (pow b 5))))))) (* 1/2 (/ 1 b))))
(* -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)))))
(* -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 (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(/ -1/2 b)
(- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))
(- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))
(- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 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))
(* 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))))
(* 3/2 (/ (* a c) b))
(* c (- (* 9/8 (/ (* (pow a 2) c) (pow b 3))) (* -3/2 (/ a b))))
(* c (- (* c (- (* 27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))) (* -3/2 (/ a b))))
(* c (- (* c (- (* c (- (* 1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)) (* -27/16 (/ (pow a 3) (pow b 5))))) (* -9/8 (/ (pow a 2) (pow b 3))))) (* -3/2 (/ a b))))
(* -1/2 (/ 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))))))))
(+ (* 2 (pow b 2)) (pow b 2))
(+ (* 2 (pow b 2)) (+ (* c (+ (* -3 a) (* -3/2 a))) (pow b 2)))
(+ (* 2 (pow b 2)) (+ (* c (+ (* -3 a) (+ (* -3/2 a) (* -9/8 (/ (* (pow a 2) c) (pow b 2)))))) (pow b 2)))
(+ (* 2 (pow b 2)) (+ (* c (+ (* -3 a) (+ (* -3/2 a) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 4))) (* -9/8 (/ (pow a 2) (pow b 2)))))))) (pow b 2)))
(* 1/6 (/ (* c (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4))))) (* a (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2))))))
(* c (+ (* 1/6 (/ (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (* a (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2)))))) (* 1/3 (* c (- (* 1/2 (/ (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6)))) (* a (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2)))))) (* 1/2 (/ (* (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (+ (* -3 a) (* -3/2 a))) (* a (* (pow b 3) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2))))))))))
(* c (+ (* 1/6 (/ (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (* a (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2)))))) (* c (+ (* 1/3 (* c (- (* 1/2 (/ (- (* -27 (pow a 3)) (* 1/2 (/ (* (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6))))) (pow b 6)))) (* a (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2)))))) (+ (* -9/16 (/ (* a (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4))))) (* (pow b 5) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2)))) (/ (* (+ (* -3 a) (* -3/2 a)) (- (* 1/2 (/ (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6)))) (* a (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2)))))) (* 1/2 (/ (* (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (+ (* -3 a) (* -3/2 a))) (* a (* (pow b 3) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2))))))) (+ (* 2 (pow b 2)) (pow b 2))))))) (* 1/3 (- (* 1/2 (/ (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6)))) (* a (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2)))))) (* 1/2 (/ (* (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (+ (* -3 a) (* -3/2 a))) (* a (* (pow b 3) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2)))))))))))
(* c (+ (* 1/6 (/ (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (* a (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2)))))) (* c (+ (* 1/3 (- (* 1/2 (/ (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6)))) (* a (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2)))))) (* 1/2 (/ (* (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (+ (* -3 a) (* -3/2 a))) (* a (* (pow b 3) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2))))))) (* c (+ (* 1/3 (* c (- (* -1/2 (/ (+ (* 1/4 (/ (pow (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6)))) 2) (pow b 6))) (* 1/2 (/ (* (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (- (* -27 (pow a 3)) (* 1/2 (/ (* (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6))))) (pow b 6))))) (pow b 6)))) (* a (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2)))))) (+ (* -9/8 (/ (* (pow a 2) (- (* 1/2 (/ (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6)))) (* a (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2)))))) (* 1/2 (/ (* (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (+ (* -3 a) (* -3/2 a))) (* a (* (pow b 3) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2))))))) (* (pow b 2) (+ (* 2 (pow b 2)) (pow b 2))))) (+ (* -27/32 (/ (* (pow a 2) (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4))))) (* (pow b 7) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2)))) (/ (* (+ (* -3 a) (* -3/2 a)) (- (* 1/2 (/ (- (* -27 (pow a 3)) (* 1/2 (/ (* (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6))))) (pow b 6)))) (* a (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2)))))) (+ (* -9/16 (/ (* a (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4))))) (* (pow b 5) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2)))) (/ (* (+ (* -3 a) (* -3/2 a)) (- (* 1/2 (/ (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6)))) (* a (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2)))))) (* 1/2 (/ (* (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (+ (* -3 a) (* -3/2 a))) (* a (* (pow b 3) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2))))))) (+ (* 2 (pow b 2)) (pow b 2)))))) (+ (* 2 (pow b 2)) (pow b 2)))))))) (* 1/3 (- (* 1/2 (/ (- (* -27 (pow a 3)) (* 1/2 (/ (* (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6))))) (pow b 6)))) (* a (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2)))))) (+ (* -9/16 (/ (* a (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4))))) (* (pow b 5) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2)))) (/ (* (+ (* -3 a) (* -3/2 a)) (- (* 1/2 (/ (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6)))) (* a (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2)))))) (* 1/2 (/ (* (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (+ (* -3 a) (* -3/2 a))) (* a (* (pow b 3) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2))))))) (+ (* 2 (pow b 2)) (pow b 2))))))))))))
(* 1/2 (/ (* c (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4))))) (pow b 3)))
(* c (+ (* 1/2 (/ (* c (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6))))) (pow b 3))) (* 1/2 (/ (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (pow b 3)))))
(* c (+ (* 1/2 (/ (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (pow b 3))) (* c (+ (* 1/2 (/ (* c (- (* -27 (pow a 3)) (* 1/2 (/ (* (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6))))) (pow b 6))))) (pow b 3))) (* 1/2 (/ (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6)))) (pow b 3)))))))
(* c (+ (* 1/2 (/ (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (pow b 3))) (* c (+ (* 1/2 (/ (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6)))) (pow b 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/4 (/ (pow (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6)))) 2) (pow b 6))) (* 1/2 (/ (* (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (- (* -27 (pow a 3)) (* 1/2 (/ (* (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6))))) (pow b 6))))) (pow b 6))))) (pow b 3))) (* 1/2 (/ (- (* -27 (pow a 3)) (* 1/2 (/ (* (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6))))) (pow b 6)))) (pow b 3)))))))))
(pow b 3)
(+ (* 1/2 (/ (* c (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4))))) (pow b 3))) (pow b 3))
(+ (* c (+ (* 1/2 (/ (* c (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6))))) (pow b 3))) (* 1/2 (/ (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (pow b 3))))) (pow b 3))
(+ (* c (+ (* 1/2 (/ (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (pow b 3))) (* c (+ (* 1/2 (/ (* c (- (* -27 (pow a 3)) (* 1/2 (/ (* (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6))))) (pow b 6))))) (pow b 3))) (* 1/2 (/ (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6)))) (pow b 3))))))) (pow b 3))
(* -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)))))
(* -135/128 (* (pow a 2) (pow c 4)))
(* -135/128 (* (pow a 2) (pow c 4)))
(* -135/128 (* (pow a 2) (pow c 4)))
(* -135/128 (* (pow a 2) (pow c 4)))
(* -135/128 (pow c 4))
(* -135/128 (pow c 4))
(* -135/128 (pow c 4))
(* -135/128 (pow c 4))
(pow b 2)
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(* 1/2 (/ (* c (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4))))) (* a (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2))))))
(* c (+ (* 1/2 (/ (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (* a (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2)))))) (* c (- (* 1/2 (/ (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6)))) (* a (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2)))))) (* 1/2 (/ (* (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (+ (* -3 a) (* -3/2 a))) (* a (* (pow b 3) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2)))))))))
(* c (+ (* 1/2 (/ (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (* a (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2)))))) (* c (- (+ (* 1/2 (/ (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6)))) (* a (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2)))))) (* c (- (* 1/2 (/ (- (* -27 (pow a 3)) (* 1/2 (/ (* (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6))))) (pow b 6)))) (* a (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2)))))) (+ (* -9/16 (/ (* a (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4))))) (* (pow b 5) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2)))) (/ (* (+ (* -3 a) (* -3/2 a)) (- (* 1/2 (/ (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6)))) (* a (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2)))))) (* 1/2 (/ (* (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (+ (* -3 a) (* -3/2 a))) (* a (* (pow b 3) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2))))))) (+ (* 2 (pow b 2)) (pow b 2))))))) (* 1/2 (/ (* (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (+ (* -3 a) (* -3/2 a))) (* a (* (pow b 3) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2)))))))))
(* c (+ (* 1/2 (/ (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (* a (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2)))))) (* c (- (+ (* 1/2 (/ (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6)))) (* a (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2)))))) (* c (- (+ (* 1/2 (/ (- (* -27 (pow a 3)) (* 1/2 (/ (* (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6))))) (pow b 6)))) (* a (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2)))))) (* c (- (* -1/2 (/ (+ (* 1/4 (/ (pow (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6)))) 2) (pow b 6))) (* 1/2 (/ (* (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (- (* -27 (pow a 3)) (* 1/2 (/ (* (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6))))) (pow b 6))))) (pow b 6)))) (* a (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2)))))) (+ (* -9/8 (/ (* (pow a 2) (- (* 1/2 (/ (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6)))) (* a (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2)))))) (* 1/2 (/ (* (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (+ (* -3 a) (* -3/2 a))) (* a (* (pow b 3) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2))))))) (* (pow b 2) (+ (* 2 (pow b 2)) (pow b 2))))) (+ (* -27/32 (/ (* (pow a 2) (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4))))) (* (pow b 7) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2)))) (/ (* (+ (* -3 a) (* -3/2 a)) (- (* 1/2 (/ (- (* -27 (pow a 3)) (* 1/2 (/ (* (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6))))) (pow b 6)))) (* a (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2)))))) (+ (* -9/16 (/ (* a (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4))))) (* (pow b 5) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2)))) (/ (* (+ (* -3 a) (* -3/2 a)) (- (* 1/2 (/ (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6)))) (* a (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2)))))) (* 1/2 (/ (* (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (+ (* -3 a) (* -3/2 a))) (* a (* (pow b 3) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2))))))) (+ (* 2 (pow b 2)) (pow b 2)))))) (+ (* 2 (pow b 2)) (pow b 2)))))))) (+ (* -9/16 (/ (* a (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4))))) (* (pow b 5) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2)))) (/ (* (+ (* -3 a) (* -3/2 a)) (- (* 1/2 (/ (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6)))) (* a (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2)))))) (* 1/2 (/ (* (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (+ (* -3 a) (* -3/2 a))) (* a (* (pow b 3) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2))))))) (+ (* 2 (pow b 2)) (pow b 2))))))) (* 1/2 (/ (* (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (+ (* -3 a) (* -3/2 a))) (* a (* (pow b 3) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2)))))))))
(* -9/16 (* a (pow c 3)))
(* (pow c 3) (+ (* -9/16 a) (* -3/8 (/ (pow b 2) c))))
(* (pow c 3) (+ (* -9/16 a) (* -3/8 (/ (pow b 2) c))))
(* (pow c 3) (+ (* -9/16 a) (* -3/8 (/ (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)))))))
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 7)))
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 7))) (* -9/16 (/ (pow a 2) (* (pow b 5) c)))))
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 7))) (+ (* -9/16 (/ (pow a 2) (* (pow b 5) c))) (* -3/8 (/ a (* (pow b 3) (pow c 2)))))))
(* (pow c 4) (- (+ (* -135/128 (/ (pow a 3) (pow b 7))) (+ (* -9/16 (/ (pow a 2) (* (pow b 5) c))) (* -3/8 (/ a (* (pow b 3) (pow c 2)))))) (* 1/2 (/ 1 (* b (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)))))
(* 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)))))
(* -9/16 (/ (* (pow a 2) (pow c 2)) (pow b 5)))
(* (pow c 2) (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c)))))
(* (pow c 2) (- (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c)))) (/ 1/2 (* b (pow c 2)))))
(* (pow c 2) (- (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c)))) (/ 1/2 (* b (pow c 2)))))
(* -3 (* a c))
(* c (+ (* -3 a) (/ (pow b 2) c)))
(* c (+ (* -3 a) (/ (pow b 2) c)))
(* c (+ (* -3 a) (/ (pow b 2) c)))
(* (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)))))))
(* -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)))))
(* 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)))
(* c (+ (* -3 a) (* (sqrt (/ a c)) (* b (sqrt -3)))))
(* c (+ (* -3 a) (+ (* 2 (/ (pow b 2) c)) (* (sqrt (/ a c)) (* b (sqrt -3))))))
(* c (+ (* -3 a) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 3) (sqrt -3)))) (+ (* 2 (/ (pow b 2) c)) (* (sqrt (/ a c)) (* b (sqrt -3)))))))
(* c (+ (* -3 a) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 5) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 3) (sqrt -3)))) (+ (* 2 (/ (pow b 2) c)) (* (sqrt (/ a c)) (* b (sqrt -3))))))))
(* 1/3 (* (sqrt (* a c)) (/ (sqrt -27) (+ (* -3 a) (* (sqrt (/ a c)) (* b (sqrt -3)))))))
(* c (+ (* -2/3 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -27)) (pow (+ (* -3 a) (* (sqrt (/ a c)) (* b (sqrt -3)))) 2)))) (* 1/3 (* (sqrt (/ a c)) (/ (sqrt -27) (+ (* -3 a) (* (sqrt (/ a c)) (* b (sqrt -3)))))))))
(* c (+ (* -2/3 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -27)) (pow (+ (* -3 a) (* (sqrt (/ a c)) (* b (sqrt -3)))) 2)))) (+ (* 1/3 (* (sqrt (/ a c)) (/ (sqrt -27) (+ (* -3 a) (* (sqrt (/ a c)) (* b (sqrt -3))))))) (* 1/3 (/ (- (* 1/2 (* (sqrt (/ c (pow a 5))) (/ (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* (sqrt -27) (+ (* -3 a) (* (sqrt (/ a c)) (* b (sqrt -3)))))))) (+ (* -4 (* (sqrt (/ a c)) (/ (* (pow b 4) (sqrt -27)) (pow (+ (* -3 a) (* (sqrt (/ a c)) (* b (sqrt -3)))) 3)))) (+ (* 1/2 (/ (* (pow b 3) (sqrt -27)) (* (sqrt -3) (pow (+ (* -3 a) (* (sqrt (/ a c)) (* b (sqrt -3)))) 2)))) (/ (pow b 3) (* a (+ (* -3 a) (* (sqrt (/ a c)) (* b (sqrt -3))))))))) (pow c 2))))))
(* c (+ (* -2/3 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -27)) (pow (+ (* -3 a) (* (sqrt (/ a c)) (* b (sqrt -3)))) 2)))) (+ (* 1/3 (* (sqrt (/ a c)) (/ (sqrt -27) (+ (* -3 a) (* (sqrt (/ a c)) (* b (sqrt -3))))))) (+ (* 1/3 (/ (- (* 1/2 (* (sqrt (/ c (pow a 5))) (/ (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (* (sqrt -27) (+ (* -3 a) (* (sqrt (/ a c)) (* b (sqrt -3)))))))) (+ (* -1 (/ (* (pow b 5) (sqrt -27)) (* (sqrt -3) (pow (+ (* -3 a) (* (sqrt (/ a c)) (* b (sqrt -3)))) 3)))) (* 2 (/ (* (pow b 2) (- (* 1/2 (* (sqrt (/ c (pow a 5))) (/ (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* (sqrt -27) (+ (* -3 a) (* (sqrt (/ a c)) (* b (sqrt -3)))))))) (+ (* -4 (* (sqrt (/ a c)) (/ (* (pow b 4) (sqrt -27)) (pow (+ (* -3 a) (* (sqrt (/ a c)) (* b (sqrt -3)))) 3)))) (+ (* 1/2 (/ (* (pow b 3) (sqrt -27)) (* (sqrt -3) (pow (+ (* -3 a) (* (sqrt (/ a c)) (* b (sqrt -3)))) 2)))) (/ (pow b 3) (* a (+ (* -3 a) (* (sqrt (/ a c)) (* b (sqrt -3)))))))))) (+ (* -3 a) (* (sqrt (/ a c)) (* b (sqrt -3)))))))) (pow c 3))) (* 1/3 (/ (- (* 1/2 (* (sqrt (/ c (pow a 5))) (/ (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* (sqrt -27) (+ (* -3 a) (* (sqrt (/ a c)) (* b (sqrt -3)))))))) (+ (* -4 (* (sqrt (/ a c)) (/ (* (pow b 4) (sqrt -27)) (pow (+ (* -3 a) (* (sqrt (/ a c)) (* b (sqrt -3)))) 3)))) (+ (* 1/2 (/ (* (pow b 3) (sqrt -27)) (* (sqrt -3) (pow (+ (* -3 a) (* (sqrt (/ a c)) (* b (sqrt -3)))) 2)))) (/ (pow b 3) (* a (+ (* -3 a) (* (sqrt (/ a c)) (* b (sqrt -3))))))))) (pow c 2)))))))
(* (sqrt (* (pow a 3) (pow c 3))) (sqrt -27))
(* (pow c 2) (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (sqrt -27)))) (* (sqrt (/ (pow a 3) c)) (sqrt -27))) (/ (pow b 3) (pow c 2))))
(* (pow c 2) (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (sqrt -27)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (sqrt -27)))) (* (sqrt (/ (pow a 3) c)) (sqrt -27)))) (/ (pow b 3) (pow c 2))))
(* (pow c 2) (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (sqrt -27)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (sqrt -27)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 7)))) (/ (- (pow b 6) (* 1/4 (/ (* c (pow (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) 2)) (* (pow a 3) (pow (sqrt -27) 2))))) (sqrt -27)))) (* (sqrt (/ (pow a 3) c)) (sqrt -27))))) (/ (pow b 3) (pow c 2))))
(* (sqrt (* (pow a 3) (pow c 3))) (sqrt -27))
(* (pow c 2) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (sqrt -27)))) (* (sqrt (/ (pow a 3) c)) (sqrt -27))))
(* (pow c 2) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (sqrt -27)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (sqrt -27)))) (* (sqrt (/ (pow a 3) c)) (sqrt -27)))))
(* (pow c 2) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (sqrt -27)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (sqrt -27)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 7)))) (/ (- (pow b 6) (* 1/4 (/ (* c (pow (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) 2)) (* (pow a 3) (pow (sqrt -27) 2))))) (sqrt -27)))) (* (sqrt (/ (pow a 3) c)) (sqrt -27))))))
(* -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)))))
(* -135/128 (* (pow a 2) (pow c 4)))
(* -135/128 (* (pow a 2) (pow c 4)))
(* -135/128 (* (pow a 2) (pow c 4)))
(* -135/128 (* (pow a 2) (pow c 4)))
(* -135/128 (pow c 4))
(* -135/128 (pow c 4))
(* -135/128 (pow c 4))
(* -135/128 (pow c 4))
(* -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 -27) (+ (* -3 a) (* (sqrt (/ a c)) (* b (sqrt -3))))))
(* c (+ (* -2 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -27)) (pow (+ (* -3 a) (* (sqrt (/ a c)) (* b (sqrt -3)))) 2)))) (* (sqrt (/ a c)) (/ (sqrt -27) (+ (* -3 a) (* (sqrt (/ a c)) (* b (sqrt -3))))))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* (sqrt -27) (+ (* -3 a) (* (sqrt (/ a c)) (* b (sqrt -3)))))))) (* (sqrt (/ a c)) (/ (sqrt -27) (+ (* -3 a) (* (sqrt (/ a c)) (* b (sqrt -3))))))) (+ (* -4 (* (sqrt (/ a (pow c 5))) (/ (* (pow b 4) (sqrt -27)) (pow (+ (* -3 a) (* (sqrt (/ a c)) (* b (sqrt -3)))) 3)))) (+ (* 1/2 (/ (* (pow b 3) (sqrt -27)) (* (pow c 2) (* (sqrt -3) (pow (+ (* -3 a) (* (sqrt (/ a c)) (* b (sqrt -3)))) 2))))) (+ (* 2 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -27)) (pow (+ (* -3 a) (* (sqrt (/ a c)) (* b (sqrt -3)))) 2)))) (/ (pow b 3) (* a (* (pow c 2) (+ (* -3 a) (* (sqrt (/ a c)) (* b (sqrt -3))))))))))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* (sqrt -27) (+ (* -3 a) (* (sqrt (/ a c)) (* b (sqrt -3)))))))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (* (sqrt -27) (+ (* -3 a) (* (sqrt (/ a c)) (* b (sqrt -3)))))))) (* (sqrt (/ a c)) (/ (sqrt -27) (+ (* -3 a) (* (sqrt (/ a c)) (* b (sqrt -3)))))))) (+ (* -4 (* (sqrt (/ a (pow c 5))) (/ (* (pow b 4) (sqrt -27)) (pow (+ (* -3 a) (* (sqrt (/ a c)) (* b (sqrt -3)))) 3)))) (+ (* -1 (/ (* (pow b 5) (sqrt -27)) (* (pow c 3) (* (sqrt -3) (pow (+ (* -3 a) (* (sqrt (/ a c)) (* b (sqrt -3)))) 3))))) (+ (* 1/2 (/ (* (pow b 3) (sqrt -27)) (* (pow c 2) (* (sqrt -3) (pow (+ (* -3 a) (* (sqrt (/ a c)) (* b (sqrt -3)))) 2))))) (+ (* 2 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -27)) (pow (+ (* -3 a) (* (sqrt (/ a c)) (* b (sqrt -3)))) 2)))) (+ (* 2 (/ (* (pow b 2) (- (* 1/2 (* (sqrt (/ c (pow a 5))) (/ (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* (sqrt -27) (+ (* -3 a) (* (sqrt (/ a c)) (* b (sqrt -3)))))))) (+ (* -4 (* (sqrt (/ a c)) (/ (* (pow b 4) (sqrt -27)) (pow (+ (* -3 a) (* (sqrt (/ a c)) (* b (sqrt -3)))) 3)))) (+ (* 1/2 (/ (* (pow b 3) (sqrt -27)) (* (sqrt -3) (pow (+ (* -3 a) (* (sqrt (/ a c)) (* b (sqrt -3)))) 2)))) (/ (pow b 3) (* a (+ (* -3 a) (* (sqrt (/ a c)) (* b (sqrt -3)))))))))) (* (pow c 3) (+ (* -3 a) (* (sqrt (/ a c)) (* b (sqrt -3))))))) (/ (pow b 3) (* a (* (pow c 2) (+ (* -3 a) (* (sqrt (/ a c)) (* b (sqrt -3))))))))))))))
(* -9/16 (* a (pow c 3)))
(* -1 (* (pow c 3) (+ (* 3/8 (/ (pow b 2) c)) (* 9/16 a))))
(* -1 (* (pow c 3) (+ (* 3/8 (/ (pow b 2) c)) (* 9/16 a))))
(* -1 (* (pow c 3) (+ (* 3/8 (/ (pow b 2) c)) (* 9/16 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)))))))
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 7)))
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 7))) (* -9/16 (/ (pow a 2) (* (pow b 5) c)))))
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 7))) (* -1 (/ (+ (* 3/8 (/ a (* (pow b 3) c))) (* 9/16 (/ (pow a 2) (pow b 5)))) c))))
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 7))) (* -1 (/ (+ (* -1 (/ (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))) c)) (* 9/16 (/ (pow a 2) (pow b 5)))) c))))
(* -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))))
(* -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)))))))
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 5)))
(* -1 (* (pow c 3) (+ (* 3/8 (/ a (* (pow b 3) c))) (* 9/16 (/ (pow a 2) (pow b 5))))))
(* -1 (* (pow c 3) (+ (* -1 (/ (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))) c)) (* 9/16 (/ (pow a 2) (pow b 5))))))
(* -1 (* (pow c 3) (+ (* -1 (/ (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))) c)) (* 9/16 (/ (pow a 2) (pow b 5))))))
(* -9/16 (/ (* (pow a 2) (pow c 2)) (pow b 5)))
(* (pow c 2) (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c)))))
(* (pow c 2) (+ (* -1 (/ (+ (* 3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))) c)) (* -9/16 (/ (pow a 2) (pow b 5)))))
(* (pow c 2) (+ (* -1 (/ (+ (* 3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))) c)) (* -9/16 (/ (pow a 2) (pow b 5)))))
(* -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))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(* (sqrt (* a c)) (* (sqrt -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))))))
(* -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))))))
(* -1 (* c (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3)))))))
(* -1 (* c (+ (* -2 (/ (pow b 2) c)) (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 3) (sqrt -1)) (sqrt 3)))) (* 2 (pow b 2))) c)) (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 5) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 3) (sqrt -1)) (sqrt 3))))) c)) (* 2 (pow b 2))) c)) (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))))))
(* -1/3 (* (sqrt (* a c)) (/ (* (sqrt -1) (sqrt 27)) (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))))))
(* -1 (* c (+ (* 1/3 (* (sqrt (/ a c)) (/ (* (sqrt -1) (sqrt 27)) (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3)))))))) (* 2/3 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (* (sqrt -1) (sqrt 27))) (pow (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) 2)))))))
(* -1 (* c (+ (* -1 (/ (+ (* -2/3 (* (sqrt (/ a c)) (/ (* (pow b 2) (* (sqrt -1) (sqrt 27))) (pow (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) 2)))) (* -1/3 (/ (- (* 1/2 (* (sqrt (/ c (pow a 5))) (/ (* (sqrt -1) (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2))))) (* (sqrt 27) (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))))))) (+ (* -4 (* (sqrt (/ a c)) (/ (* (pow b 4) (* (sqrt -1) (sqrt 27))) (pow (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) 3)))) (+ (* 1/2 (/ (* (pow b 3) (sqrt 27)) (* (sqrt 3) (pow (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) 2)))) (/ (pow b 3) (* a (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3)))))))))) c))) c)) (* 1/3 (* (sqrt (/ a c)) (/ (* (sqrt -1) (sqrt 27)) (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3)))))))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (/ (- (* 1/2 (* (sqrt (/ c (pow a 5))) (/ (* (sqrt -1) (+ (* 3 (* a (pow b 4))) (* 6 (* a (pow b 4))))) (* (sqrt 27) (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))))))) (+ (* -1 (/ (* (pow b 5) (sqrt 27)) (* (sqrt 3) (pow (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) 3)))) (* 2 (/ (* (pow b 2) (- (* 1/2 (* (sqrt (/ c (pow a 5))) (/ (* (sqrt -1) (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2))))) (* (sqrt 27) (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))))))) (+ (* -4 (* (sqrt (/ a c)) (/ (* (pow b 4) (* (sqrt -1) (sqrt 27))) (pow (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) 3)))) (+ (* 1/2 (/ (* (pow b 3) (sqrt 27)) (* (sqrt 3) (pow (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) 2)))) (/ (pow b 3) (* a (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))))))))) (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))))))) c)) (* 1/3 (- (* 1/2 (* (sqrt (/ c (pow a 5))) (/ (* (sqrt -1) (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2))))) (* (sqrt 27) (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))))))) (+ (* -4 (* (sqrt (/ a c)) (/ (* (pow b 4) (* (sqrt -1) (sqrt 27))) (pow (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) 3)))) (+ (* 1/2 (/ (* (pow b 3) (sqrt 27)) (* (sqrt 3) (pow (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) 2)))) (/ (pow b 3) (* a (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3)))))))))))) c)) (* -2/3 (* (sqrt (/ a c)) (/ (* (pow b 2) (* (sqrt -1) (sqrt 27))) (pow (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) 2))))) c)) (* 1/3 (* (sqrt (/ a c)) (/ (* (sqrt -1) (sqrt 27)) (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3)))))))))))
(* (sqrt (* (pow a 3) (pow c 3))) (* (sqrt -1) (sqrt 27)))
(* (pow c 2) (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (sqrt -1) (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2))))) (sqrt 27)))) (* (sqrt (/ (pow a 3) c)) (* (sqrt -1) (sqrt 27)))) (/ (pow b 3) (pow c 2))))
(* (pow c 2) (- (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (sqrt -1) (+ (* 3 (* a (pow b 4))) (* 6 (* a (pow b 4))))) (sqrt 27)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (sqrt -1) (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2))))) (sqrt 27)))) (* (sqrt (/ (pow a 3) c)) (* (sqrt -1) (sqrt 27))))) (/ (pow b 3) (pow c 2))))
(* (pow c 2) (- (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (sqrt -1) (- (pow b 6) (* -1/4 (/ (* c (pow (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) 2)) (* (pow a 3) (pow (sqrt 27) 2)))))) (sqrt 27)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (* (sqrt -1) (+ (* 3 (* a (pow b 4))) (* 6 (* a (pow b 4))))) (sqrt 27))))) (pow c 3))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (sqrt -1) (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2))))) (sqrt 27)))) (* (sqrt (/ (pow a 3) c)) (* (sqrt -1) (sqrt 27))))) (/ (pow b 3) (pow c 2))))
(* (sqrt (* (pow a 3) (pow c 3))) (* (sqrt -1) (sqrt 27)))
(* (pow c 2) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (sqrt -1) (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2))))) (sqrt 27)))) (* (sqrt (/ (pow a 3) c)) (* (sqrt -1) (sqrt 27)))))
(* (pow c 2) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (sqrt -1) (+ (* 3 (* a (pow b 4))) (* 6 (* a (pow b 4))))) (sqrt 27)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (sqrt -1) (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2))))) (sqrt 27)))) (* (sqrt (/ (pow a 3) c)) (* (sqrt -1) (sqrt 27))))))
(* (pow c 2) (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (sqrt -1) (- (pow b 6) (* -1/4 (/ (* c (pow (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) 2)) (* (pow a 3) (pow (sqrt 27) 2)))))) (sqrt 27)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (* (sqrt -1) (+ (* 3 (* a (pow b 4))) (* 6 (* a (pow b 4))))) (sqrt 27))))) (pow c 3))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (sqrt -1) (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2))))) (sqrt 27)))) (* (sqrt (/ (pow a 3) c)) (* (sqrt -1) (sqrt 27))))))
(* -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))))
(* -135/128 (* (pow a 2) (pow c 4)))
(* -135/128 (* (pow a 2) (pow c 4)))
(* -135/128 (* (pow a 2) (pow c 4)))
(* -135/128 (* (pow a 2) (pow c 4)))
(* -135/128 (pow c 4))
(* -135/128 (pow c 4))
(* -135/128 (pow c 4))
(* -135/128 (pow c 4))
(* -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 27)) (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))))))
(* -1 (* c (+ (* 2 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (* (sqrt -1) (sqrt 27))) (pow (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) 2)))) (* (sqrt (/ a c)) (/ (* (sqrt -1) (sqrt 27)) (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))))))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (- (* 1/2 (* (sqrt (/ c (pow a 5))) (/ (* (sqrt -1) (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2))))) (* (sqrt 27) (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))))))) (+ (* -4 (* (sqrt (/ a c)) (/ (* (pow b 4) (* (sqrt -1) (sqrt 27))) (pow (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) 3)))) (+ (* 1/2 (/ (* (pow b 3) (sqrt 27)) (* (sqrt 3) (pow (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) 2)))) (/ (pow b 3) (* a (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3)))))))))) c)) (* 2 (* (sqrt (/ a c)) (/ (* (pow b 2) (* (sqrt -1) (sqrt 27))) (pow (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) 2))))) c)) (* (sqrt (/ a c)) (/ (* (sqrt -1) (sqrt 27)) (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))))))))
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(+ (* -9/16 (* a (pow c 3))) (* -3/8 (* (pow b 2) (pow c 2))))
(+ (* -9/16 (* a (pow c 3))) (* -3/8 (* (pow b 2) (pow c 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)))))
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(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 7)))
(/ (+ (* -135/128 (* (pow a 3) (pow c 4))) (* -9/16 (* (pow a 2) (* (pow b 2) (pow c 3))))) (pow b 7))
(/ (+ (* -135/128 (* (pow a 3) (pow c 4))) (* (pow b 2) (+ (* -9/16 (* (pow a 2) (pow c 3))) (* -3/8 (* a (* (pow b 2) (pow c 2))))))) (pow b 7))
(/ (+ (* -135/128 (* (pow a 3) (pow c 4))) (* (pow b 2) (+ (* -9/16 (* (pow a 2) (pow c 3))) (* (pow b 2) (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))))))) (pow b 7))
(* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 7)))
(/ (+ (* -135/128 (* (pow a 2) (pow c 4))) (* -9/16 (* a (* (pow b 2) (pow c 3))))) (pow b 7))
(/ (+ (* -135/128 (* (pow a 2) (pow c 4))) (* (pow b 2) (+ (* -9/16 (* a (pow c 3))) (* -3/8 (* (pow b 2) (pow c 2)))))) (pow b 7))
(/ (+ (* -135/128 (* (pow a 2) (pow c 4))) (* (pow b 2) (+ (* -9/16 (* a (pow c 3))) (* -3/8 (* (pow b 2) (pow c 2)))))) (pow b 7))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
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(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 5)))
(/ (+ (* -9/16 (* (pow a 2) (pow c 3))) (* -3/8 (* a (* (pow b 2) (pow c 2))))) (pow b 5))
(/ (+ (* -9/16 (* (pow a 2) (pow c 3))) (* (pow b 2) (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))))) (pow b 5))
(/ (+ (* -9/16 (* (pow a 2) (pow c 3))) (* (pow b 2) (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))))) (pow b 5))
(* -9/16 (/ (* (pow a 2) (pow c 2)) (pow b 5)))
(/ (+ (* -9/16 (* (pow a 2) (pow c 2))) (* -3/8 (* a (* (pow b 2) c)))) (pow b 5))
(/ (+ (* -9/16 (* (pow a 2) (pow c 2))) (* (pow b 2) (+ (* -1/2 (pow b 2)) (* -3/8 (* a c))))) (pow b 5))
(/ (+ (* -9/16 (* (pow a 2) (pow c 2))) (* (pow b 2) (+ (* -1/2 (pow b 2)) (* -3/8 (* a c))))) (pow b 5))
(/ -1/2 b)
(/ -1/2 b)
(/ -1/2 b)
(/ -1/2 b)
(* -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)))
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(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
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(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -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)))
(* 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)))
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(* -3 (* a c))
(+ (* -3 (* a c)) (* (sqrt (* a c)) (* b (sqrt -3))))
(+ (* -3 (* a c)) (* b (+ (* 2 b) (* (sqrt (* a c)) (sqrt -3)))))
(+ (* -3 (* a c)) (* b (+ (* b (+ 2 (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))))) (* (sqrt (* a c)) (sqrt -3)))))
(* -1/9 (* (sqrt (/ c a)) (sqrt -27)))
(+ (* -1/9 (* (sqrt (/ c a)) (sqrt -27))) (* -1/27 (/ (* b (* (sqrt -27) (sqrt -3))) a)))
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(* (sqrt (* (pow a 3) (pow c 3))) (sqrt -27))
(+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (pow b 2) (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2))))) (sqrt -27)))) (* (sqrt (* (pow a 3) (pow c 3))) (sqrt -27)))
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(* (sqrt (* (pow a 3) (pow c 3))) (sqrt -27))
(+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (pow b 2) (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2))))) (sqrt -27)))) (* (sqrt (* (pow a 3) (pow c 3))) (sqrt -27)))
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(* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 7)))
(/ (+ (* -135/128 (* (pow a 2) (pow c 4))) (* -9/16 (* a (* (pow b 2) (pow c 3))))) (pow b 7))
(/ (+ (* -135/128 (* (pow a 2) (pow c 4))) (* (pow b 2) (+ (* -9/16 (* a (pow c 3))) (* -3/8 (* (pow b 2) (pow c 2)))))) (pow b 7))
(/ (+ (* -135/128 (* (pow a 2) (pow c 4))) (* (pow b 2) (+ (* -9/16 (* a (pow c 3))) (* -3/8 (* (pow b 2) (pow c 2)))))) (pow b 7))
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(* -3 (* a c))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(* -1/3 (* (sqrt (/ c a)) (sqrt -27)))
(+ (* -1/3 (* (sqrt (/ c a)) (sqrt -27))) (* -1/9 (/ (* b (* (sqrt -27) (sqrt -3))) a)))
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(+ (* -1/3 (* (sqrt (/ c a)) (sqrt -27))) (* b (- (* b (- (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (sqrt -27)))) (* b (- (* 1/3 (/ 1 (* (pow a 2) c))) (+ (* -1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -3) (- (* -1/6 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (sqrt -27)))) (+ (* 1/27 (* (sqrt (/ 1 (* (pow a 3) c))) (* (sqrt -27) (pow (sqrt -3) 2)))) (* 2/9 (* (sqrt (/ 1 (* (pow a 3) c))) (sqrt -27)))))))) (+ (* 1/18 (/ (sqrt -27) (* (pow a 2) (* c (sqrt -3))))) (* 2/27 (/ (* (sqrt -27) (sqrt -3)) (* (pow a 2) c)))))))) (+ (* 1/27 (* (sqrt (/ 1 (* (pow a 3) c))) (* (sqrt -27) (pow (sqrt -3) 2)))) (* 2/9 (* (sqrt (/ 1 (* (pow a 3) c))) (sqrt -27)))))) (* 1/9 (/ (* (sqrt -27) (sqrt -3)) a)))))
(* -3/8 (* (pow b 2) (pow c 2)))
(* (pow b 2) (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2))))
(* (pow b 2) (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2))))
(* (pow b 2) (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 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)
(/ (+ (* -135/128 (/ (* (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)))))) b)
(* -3/8 (/ (pow c 2) (pow b 3)))
(/ (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2))) (pow b 3))
(/ (+ (* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 4))) (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2)))) (pow b 3))
(/ (+ (* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 4))) (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2)))) (pow b 3))
(* -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)
(/ -1/2 b)
(/ (- (* -3/8 (/ (* a c) (pow b 2))) 1/2) b)
(/ (- (+ (* -9/16 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -3/8 (/ (* a c) (pow b 2)))) 1/2) b)
(/ (- (+ (* -9/16 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -3/8 (/ (* a c) (pow b 2)))) 1/2) b)
(/ -1/2 b)
(/ -1/2 b)
(/ -1/2 b)
(/ -1/2 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)))))
(* -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)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 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)
(* -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 (pow b 2))
(* (pow b 2) (+ 3 (+ (* -3 (/ (* a c) (pow b 2))) (* -3/2 (/ (* a c) (pow b 2))))))
(* (pow b 2) (+ 3 (+ (* -3 (/ (* a c) (pow b 2))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* (pow b 2) (+ 3 (+ (* -3 (/ (* a c) (pow 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))))))))
(* 1/18 (/ (+ (* -6 (* a c)) (* -3 (* a c))) (* a b)))
(/ (+ (* 1/18 (/ (+ (* -6 (* a c)) (* -3 (* a c))) a)) (* 1/3 (/ (- (* 1/6 (/ (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) a)) (* 1/18 (/ (* (+ (* -6 (* a c)) (* -3 (* a c))) (+ (* -3 (* a c)) (* -3/2 (* a c)))) a))) (pow b 2)))) b)
(/ (+ (* 1/18 (/ (+ (* -6 (* a c)) (* -3 (* a c))) a)) (+ (* 1/3 (/ (- (* 1/6 (/ (- (* -27 (* (pow a 3) (pow c 3))) (* 1/2 (* (+ (* -6 (* a c)) (* -3 (* a c))) (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2)))))) a)) (+ (* -1/16 (* a (* (pow c 2) (+ (* -6 (* a c)) (* -3 (* a c)))))) (* 1/3 (* (+ (* -3 (* a c)) (* -3/2 (* a c))) (- (* 1/6 (/ (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) a)) (* 1/18 (/ (* (+ (* -6 (* a c)) (* -3 (* a c))) (+ (* -3 (* a c)) (* -3/2 (* a c)))) a))))))) (pow b 4))) (* 1/3 (/ (- (* 1/6 (/ (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) a)) (* 1/18 (/ (* (+ (* -6 (* a c)) (* -3 (* a c))) (+ (* -3 (* a c)) (* -3/2 (* a c)))) a))) (pow b 2))))) b)
(/ (+ (* 1/18 (/ (+ (* -6 (* a c)) (* -3 (* a c))) a)) (+ (* 1/3 (/ (- (* -1/6 (/ (+ (* 1/4 (pow (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) 2)) (* 1/2 (* (+ (* -6 (* a c)) (* -3 (* a c))) (- (* -27 (* (pow a 3) (pow c 3))) (* 1/2 (* (+ (* -6 (* a c)) (* -3 (* a c))) (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))))))))) a)) (+ (* -3/8 (* (pow a 2) (* (pow c 2) (- (* 1/6 (/ (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) a)) (* 1/18 (/ (* (+ (* -6 (* a c)) (* -3 (* a c))) (+ (* -3 (* a c)) (* -3/2 (* a c)))) a)))))) (+ (* -3/32 (* (pow a 2) (* (pow c 3) (+ (* -6 (* a c)) (* -3 (* a c)))))) (* 1/3 (* (+ (* -3 (* a c)) (* -3/2 (* a c))) (- (* 1/6 (/ (- (* -27 (* (pow a 3) (pow c 3))) (* 1/2 (* (+ (* -6 (* a c)) (* -3 (* a c))) (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2)))))) a)) (+ (* -1/16 (* a (* (pow c 2) (+ (* -6 (* a c)) (* -3 (* a c)))))) (* 1/3 (* (+ (* -3 (* a c)) (* -3/2 (* a c))) (- (* 1/6 (/ (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) a)) (* 1/18 (/ (* (+ (* -6 (* a c)) (* -3 (* a c))) (+ (* -3 (* a c)) (* -3/2 (* a c)))) a)))))))))))) (pow b 6))) (+ (* 1/3 (/ (- (* 1/6 (/ (- (* -27 (* (pow a 3) (pow c 3))) (* 1/2 (* (+ (* -6 (* a c)) (* -3 (* a c))) (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2)))))) a)) (+ (* -1/16 (* a (* (pow c 2) (+ (* -6 (* a c)) (* -3 (* a c)))))) (* 1/3 (* (+ (* -3 (* a c)) (* -3/2 (* a c))) (- (* 1/6 (/ (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) a)) (* 1/18 (/ (* (+ (* -6 (* a c)) (* -3 (* a c))) (+ (* -3 (* a c)) (* -3/2 (* a c)))) a))))))) (pow b 4))) (* 1/3 (/ (- (* 1/6 (/ (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) a)) (* 1/18 (/ (* (+ (* -6 (* a c)) (* -3 (* a c))) (+ (* -3 (* a c)) (* -3/2 (* a c)))) a))) (pow b 2)))))) b)
(* 1/2 (* b (+ (* -6 (* a c)) (* -3 (* a c)))))
(* b (+ (* 1/2 (+ (* -6 (* a c)) (* -3 (* a c)))) (* 1/2 (/ (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) (pow b 2)))))
(* b (+ (* 1/2 (+ (* -6 (* a c)) (* -3 (* a c)))) (+ (* 1/2 (/ (- (* -27 (* (pow a 3) (pow c 3))) (* 1/2 (* (+ (* -6 (* a c)) (* -3 (* a c))) (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2)))))) (pow b 4))) (* 1/2 (/ (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) (pow b 2))))))
(* b (+ (* -1/2 (/ (+ (* 1/4 (pow (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) 2)) (* 1/2 (* (+ (* -6 (* a c)) (* -3 (* a c))) (- (* -27 (* (pow a 3) (pow c 3))) (* 1/2 (* (+ (* -6 (* a c)) (* -3 (* a c))) (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))))))))) (pow b 6))) (+ (* 1/2 (+ (* -6 (* a c)) (* -3 (* a c)))) (+ (* 1/2 (/ (- (* -27 (* (pow a 3) (pow c 3))) (* 1/2 (* (+ (* -6 (* a c)) (* -3 (* a c))) (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2)))))) (pow b 4))) (* 1/2 (/ (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) (pow b 2)))))))
(pow b 3)
(* (pow b 3) (+ 1 (* 1/2 (/ (+ (* -6 (* a c)) (* -3 (* a c))) (pow b 2)))))
(* (pow b 3) (+ 1 (+ (* 1/2 (/ (+ (* -6 (* a c)) (* -3 (* a c))) (pow b 2))) (* 1/2 (/ (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) (pow b 4))))))
(* (pow b 3) (+ 1 (+ (* 1/2 (/ (+ (* -6 (* a c)) (* -3 (* a c))) (pow b 2))) (+ (* 1/2 (/ (- (* -27 (* (pow a 3) (pow c 3))) (* 1/2 (* (+ (* -6 (* a c)) (* -3 (* a c))) (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2)))))) (pow b 6))) (* 1/2 (/ (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) (pow b 4)))))))
(* -3/8 (/ (pow c 2) (pow b 3)))
(/ (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2))) (pow b 3))
(/ (+ (* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 4))) (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2)))) (pow b 3))
(/ (+ (* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 4))) (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2)))) (pow b 3))
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(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)))))
(* 1/6 (/ (+ (* -6 (* a c)) (* -3 (* a c))) (* a b)))
(/ (- (+ (* 1/6 (/ (+ (* -6 (* a c)) (* -3 (* a c))) a)) (* 1/6 (/ (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) (* a (pow b 2))))) (* 1/18 (/ (* (+ (* -6 (* a c)) (* -3 (* a c))) (+ (* -3 (* a c)) (* -3/2 (* a c)))) (* a (pow b 2))))) b)
(/ (- (+ (* 1/6 (/ (+ (* -6 (* a c)) (* -3 (* a c))) a)) (+ (* 1/6 (/ (- (* -27 (* (pow a 3) (pow c 3))) (* 1/2 (* (+ (* -6 (* a c)) (* -3 (* a c))) (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2)))))) (* a (pow b 4)))) (* 1/6 (/ (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) (* a (pow b 2)))))) (+ (* -1/16 (/ (* a (* (pow c 2) (+ (* -6 (* a c)) (* -3 (* a c))))) (pow b 4))) (+ (* 1/18 (/ (* (+ (* -6 (* a c)) (* -3 (* a c))) (+ (* -3 (* a c)) (* -3/2 (* a c)))) (* a (pow b 2)))) (* 1/3 (/ (* (+ (* -3 (* a c)) (* -3/2 (* a c))) (- (* 1/6 (/ (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) a)) (* 1/18 (/ (* (+ (* -6 (* a c)) (* -3 (* a c))) (+ (* -3 (* a c)) (* -3/2 (* a c)))) a)))) (pow b 4)))))) b)
(/ (- (+ (* -1/6 (/ (+ (* 1/4 (pow (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) 2)) (* 1/2 (* (+ (* -6 (* a c)) (* -3 (* a c))) (- (* -27 (* (pow a 3) (pow c 3))) (* 1/2 (* (+ (* -6 (* a c)) (* -3 (* a c))) (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))))))))) (* a (pow b 6)))) (+ (* 1/6 (/ (+ (* -6 (* a c)) (* -3 (* a c))) a)) (+ (* 1/6 (/ (- (* -27 (* (pow a 3) (pow c 3))) (* 1/2 (* (+ (* -6 (* a c)) (* -3 (* a c))) (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2)))))) (* a (pow b 4)))) (* 1/6 (/ (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) (* a (pow b 2))))))) (+ (* -3/8 (/ (* (pow a 2) (* (pow c 2) (- (* 1/6 (/ (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) a)) (* 1/18 (/ (* (+ (* -6 (* a c)) (* -3 (* a c))) (+ (* -3 (* a c)) (* -3/2 (* a c)))) a))))) (pow b 6))) (+ (* -3/32 (/ (* (pow a 2) (* (pow c 3) (+ (* -6 (* a c)) (* -3 (* a c))))) (pow b 6))) (+ (* -1/16 (/ (* a (* (pow c 2) (+ (* -6 (* a c)) (* -3 (* a c))))) (pow b 4))) (+ (* 1/18 (/ (* (+ (* -6 (* a c)) (* -3 (* a c))) (+ (* -3 (* a c)) (* -3/2 (* a c)))) (* a (pow b 2)))) (+ (* 1/3 (/ (* (+ (* -3 (* a c)) (* -3/2 (* a c))) (- (* 1/6 (/ (- (* -27 (* (pow a 3) (pow c 3))) (* 1/2 (* (+ (* -6 (* a c)) (* -3 (* a c))) (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2)))))) a)) (+ (* -1/16 (* a (* (pow c 2) (+ (* -6 (* a c)) (* -3 (* a c)))))) (* 1/3 (* (+ (* -3 (* a c)) (* -3/2 (* a c))) (- (* 1/6 (/ (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) a)) (* 1/18 (/ (* (+ (* -6 (* a c)) (* -3 (* a c))) (+ (* -3 (* a c)) (* -3/2 (* a c)))) a)))))))) (pow b 6))) (* 1/3 (/ (* (+ (* -3 (* a c)) (* -3/2 (* a c))) (- (* 1/6 (/ (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) a)) (* 1/18 (/ (* (+ (* -6 (* a c)) (* -3 (* a c))) (+ (* -3 (* a c)) (* -3/2 (* a c)))) a)))) (pow b 4))))))))) b)
(* -3/8 (* (pow b 2) (pow c 2)))
(* (pow b 2) (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2))))
(* (pow b 2) (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2))))
(* (pow b 2) (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 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))) (* 135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6)))))) 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)))
(* -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))
(/ -1/2 b)
(* -1 (/ (+ 1/2 (* 3/8 (/ (* a c) (pow b 2)))) b))
(* -1 (/ (+ 1/2 (+ (* 3/8 (/ (* a c) (pow b 2))) (* 9/16 (/ (* (pow a 2) (pow c 2)) (pow b 4))))) b))
(* -1 (/ (+ 1/2 (+ (* 3/8 (/ (* a c) (pow b 2))) (* 9/16 (/ (* (pow a 2) (pow c 2)) (pow b 4))))) b))
(/ -1/2 b)
(/ -1/2 b)
(/ -1/2 b)
(/ -1/2 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)
(* 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))))))))
(* -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))))))))
(pow b 2)
(* (pow b 2) (+ 1 (+ (* -3 (/ (* a c) (pow b 2))) (* 3/2 (/ (* a c) (pow b 2))))))
(* (pow b 2) (+ 1 (+ (* -3 (/ (* a c) (pow b 2))) (+ (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* 3/2 (/ (* a c) (pow b 2)))))))
(* (pow b 2) (+ 1 (+ (* -3 (/ (* a c) (pow b 2))) (+ (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ (* 3/2 (/ (* a c) (pow b 2))) (* 27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))))))))
(* -2/3 (/ b a))
(* -1 (* b (+ (* 1/3 (/ (- (* 1/2 (/ (+ (* -6 (* a c)) (* -3 (* a c))) a)) (* 2 (/ (+ (* -3 (* a c)) (* 3/2 (* a c))) a))) (pow b 2))) (* 2/3 (/ 1 a)))))
(* -1 (* b (+ (* 1/3 (/ (- (* 1/2 (/ (+ (* -6 (* a c)) (* -3 (* a c))) a)) (* 2 (/ (+ (* -3 (* a c)) (* 3/2 (* a c))) a))) (pow b 2))) (+ (* 1/3 (/ (- (* 1/2 (/ (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) a)) (+ (* 9/4 (* a (pow c 2))) (* (+ (* -3 (* a c)) (* 3/2 (* a c))) (- (* 1/2 (/ (+ (* -6 (* a c)) (* -3 (* a c))) a)) (* 2 (/ (+ (* -3 (* a c)) (* 3/2 (* a c))) a)))))) (pow b 4))) (* 2/3 (/ 1 a))))))
(* -1 (* b (+ (* 1/3 (/ (- (* 1/2 (/ (+ (* -6 (* a c)) (* -3 (* a c))) a)) (* 2 (/ (+ (* -3 (* a c)) (* 3/2 (* a c))) a))) (pow b 2))) (+ (* 1/3 (/ (- (* 1/2 (/ (- (* -27 (* (pow a 3) (pow c 3))) (* 1/2 (* (+ (* -6 (* a c)) (* -3 (* a c))) (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2)))))) a)) (+ (* 9/8 (* (pow a 2) (* (pow c 2) (- (* 1/2 (/ (+ (* -6 (* a c)) (* -3 (* a c))) a)) (* 2 (/ (+ (* -3 (* a c)) (* 3/2 (* a c))) a)))))) (+ (* 27/8 (* (pow a 2) (pow c 3))) (* (+ (* -3 (* a c)) (* 3/2 (* a c))) (- (* 1/2 (/ (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) a)) (+ (* 9/4 (* a (pow c 2))) (* (+ (* -3 (* a c)) (* 3/2 (* a c))) (- (* 1/2 (/ (+ (* -6 (* a c)) (* -3 (* a c))) a)) (* 2 (/ (+ (* -3 (* a c)) (* 3/2 (* a c))) a)))))))))) (pow b 6))) (+ (* 1/3 (/ (- (* 1/2 (/ (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) a)) (+ (* 9/4 (* a (pow c 2))) (* (+ (* -3 (* a c)) (* 3/2 (* a c))) (- (* 1/2 (/ (+ (* -6 (* a c)) (* -3 (* a c))) a)) (* 2 (/ (+ (* -3 (* a c)) (* 3/2 (* a c))) a)))))) (pow b 4))) (* 2/3 (/ 1 a)))))))
(* -2 (pow b 3))
(* -1 (* (pow b 3) (+ 2 (* 1/2 (/ (+ (* -6 (* a c)) (* -3 (* a c))) (pow b 2))))))
(* -1 (* (pow b 3) (+ 2 (+ (* 1/2 (/ (+ (* -6 (* a c)) (* -3 (* a c))) (pow b 2))) (* 1/2 (/ (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) (pow b 4)))))))
(* -1 (* (pow b 3) (+ 2 (+ (* 1/2 (/ (+ (* -6 (* a c)) (* -3 (* a c))) (pow b 2))) (+ (* 1/2 (/ (- (* -27 (* (pow a 3) (pow c 3))) (* 1/2 (* (+ (* -6 (* a c)) (* -3 (* a c))) (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2)))))) (pow b 6))) (* 1/2 (/ (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) (pow b 4))))))))
(* -1 (pow b 3))
(* -1 (* (pow b 3) (+ 1 (* 1/2 (/ (+ (* -6 (* a c)) (* -3 (* a c))) (pow b 2))))))
(* -1 (* (pow b 3) (+ 1 (+ (* 1/2 (/ (+ (* -6 (* a c)) (* -3 (* a c))) (pow b 2))) (* 1/2 (/ (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) (pow b 4)))))))
(* -1 (* (pow b 3) (+ 1 (+ (* 1/2 (/ (+ (* -6 (* a c)) (* -3 (* a c))) (pow b 2))) (+ (* 1/2 (/ (- (* -27 (* (pow a 3) (pow c 3))) (* 1/2 (* (+ (* -6 (* a c)) (* -3 (* a c))) (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2)))))) (pow b 6))) (* 1/2 (/ (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) (pow b 4))))))))
(* -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)))
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(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 a))
(* -1 (* b (- (+ (* 1/2 (/ (+ (* -6 (* a c)) (* -3 (* a c))) (* a (pow b 2)))) (* 2 (/ 1 a))) (* 2 (/ (+ (* -3 (* a c)) (* 3/2 (* a c))) (* a (pow b 2)))))))
(* -1 (* b (- (+ (* 1/2 (/ (+ (* -6 (* a c)) (* -3 (* a c))) (* a (pow b 2)))) (+ (* 1/2 (/ (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) (* a (pow b 4)))) (* 2 (/ 1 a)))) (+ (* 2 (/ (+ (* -3 (* a c)) (* 3/2 (* a c))) (* a (pow b 2)))) (+ (* 9/4 (/ (* a (pow c 2)) (pow b 4))) (/ (* (+ (* -3 (* a c)) (* 3/2 (* a c))) (- (* 1/2 (/ (+ (* -6 (* a c)) (* -3 (* a c))) a)) (* 2 (/ (+ (* -3 (* a c)) (* 3/2 (* a c))) a)))) (pow b 4)))))))
(* -1 (* b (- (+ (* 1/2 (/ (+ (* -6 (* a c)) (* -3 (* a c))) (* a (pow b 2)))) (+ (* 1/2 (/ (- (* -27 (* (pow a 3) (pow c 3))) (* 1/2 (* (+ (* -6 (* a c)) (* -3 (* a c))) (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2)))))) (* a (pow b 6)))) (+ (* 1/2 (/ (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) (* a (pow b 4)))) (* 2 (/ 1 a))))) (+ (* 9/8 (/ (* (pow a 2) (* (pow c 2) (- (* 1/2 (/ (+ (* -6 (* a c)) (* -3 (* a c))) a)) (* 2 (/ (+ (* -3 (* a c)) (* 3/2 (* a c))) a))))) (pow b 6))) (+ (* 2 (/ (+ (* -3 (* a c)) (* 3/2 (* a c))) (* a (pow b 2)))) (+ (* 9/4 (/ (* a (pow c 2)) (pow b 4))) (+ (* 27/8 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ (* (+ (* -3 (* a c)) (* 3/2 (* a c))) (- (* 1/2 (/ (+ (* -6 (* a c)) (* -3 (* a c))) a)) (* 2 (/ (+ (* -3 (* a c)) (* 3/2 (* a c))) a)))) (pow b 4)) (/ (* (+ (* -3 (* a c)) (* 3/2 (* a c))) (- (* 1/2 (/ (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) a)) (+ (* 9/4 (* a (pow c 2))) (* (+ (* -3 (* a c)) (* 3/2 (* a c))) (- (* 1/2 (/ (+ (* -6 (* a c)) (* -3 (* a c))) a)) (* 2 (/ (+ (* -3 (* a c)) (* 3/2 (* a c))) a))))))) (pow b 6))))))))))
(* -3/8 (* (pow b 2) (pow c 2)))
(+ (* -9/16 (* a (pow c 3))) (* -3/8 (* (pow b 2) (pow c 2))))
(+ (* -9/16 (* a (pow c 3))) (* -3/8 (* (pow b 2) (pow c 2))))
(+ (* -9/16 (* a (pow c 3))) (* -3/8 (* (pow b 2) (pow c 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 (+ (* -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)))
(+ (* -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))))))
(* -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))))))
(/ -1/2 b)
(- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))
(- (* a (+ (* -9/16 (/ (* a (pow c 2)) (pow b 5))) (* -3/8 (/ c (pow b 3))))) (* 1/2 (/ 1 b)))
(- (* a (+ (* -9/16 (/ (* a (pow c 2)) (pow b 5))) (* -3/8 (/ c (pow b 3))))) (* 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))))))))
(* -1/2 (/ c b))
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))
(/ -1/3 a)
(/ -1/3 a)
(/ -1/3 a)
(/ -1/3 a)
(* 3/2 (/ (* a c) b))
(* a (- (* 9/8 (/ (* a (pow c 2)) (pow b 3))) (* -3/2 (/ c b))))
(* a (- (* a (- (* 27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))) (* -3/2 (/ c b))))
(* a (- (* a (- (* a (- (* 1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)) (* -27/16 (/ (pow c 3) (pow b 5))))) (* -9/8 (/ (pow c 2) (pow b 3))))) (* -3/2 (/ c b))))
(* -1/2 (/ 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))))))))
(+ (* 2 (pow b 2)) (pow b 2))
(+ (* 2 (pow b 2)) (+ (* a (+ (* -3 c) (* -3/2 c))) (pow b 2)))
(+ (* 2 (pow b 2)) (+ (* a (+ (* -3 c) (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2)))))) (pow b 2)))
(+ (* 2 (pow b 2)) (+ (* a (+ (* -3 c) (+ (* -3/2 c) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 4))) (* -9/8 (/ (pow c 2) (pow b 2)))))))) (pow b 2)))
(* 1/6 (/ (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2)))))
(+ (* 1/6 (/ (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2))))) (* 1/3 (* a (- (* 1/2 (/ (- (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) 2) (pow b 6)))) (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2))))) (* 1/2 (/ (* (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (+ (* -3 c) (* -3/2 c))) (* (pow b 3) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2))))))))
(+ (* 1/6 (/ (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2))))) (* a (+ (* 1/3 (* a (- (* 1/2 (/ (- (* -27 (pow c 3)) (* 1/2 (/ (* (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (- (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) 2) (pow b 6))))) (pow b 6)))) (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2))))) (+ (* -9/16 (/ (* (pow c 2) (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c)))) (* (pow b 5) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2)))) (/ (* (+ (* -3 c) (* -3/2 c)) (- (* 1/2 (/ (- (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) 2) (pow b 6)))) (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2))))) (* 1/2 (/ (* (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (+ (* -3 c) (* -3/2 c))) (* (pow b 3) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2)))))) (+ (* 2 (pow b 2)) (pow b 2))))))) (* 1/3 (- (* 1/2 (/ (- (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) 2) (pow b 6)))) (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2))))) (* 1/2 (/ (* (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (+ (* -3 c) (* -3/2 c))) (* (pow b 3) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2)))))))))
(+ (* 1/6 (/ (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2))))) (* a (+ (* 1/3 (- (* 1/2 (/ (- (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) 2) (pow b 6)))) (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2))))) (* 1/2 (/ (* (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (+ (* -3 c) (* -3/2 c))) (* (pow b 3) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2)))))) (* a (+ (* 1/3 (* a (- (* -1/2 (/ (+ (* 1/4 (/ (pow (- (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) 2) (pow b 6)))) 2) (pow b 6))) (* 1/2 (/ (* (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (- (* -27 (pow c 3)) (* 1/2 (/ (* (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (- (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) 2) (pow b 6))))) (pow b 6))))) (pow b 6)))) (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2))))) (+ (* -9/8 (/ (* (pow c 2) (- (* 1/2 (/ (- (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) 2) (pow b 6)))) (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2))))) (* 1/2 (/ (* (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (+ (* -3 c) (* -3/2 c))) (* (pow b 3) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2)))))) (* (pow b 2) (+ (* 2 (pow b 2)) (pow b 2))))) (+ (* -27/32 (/ (* (pow c 3) (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c)))) (* (pow b 7) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2)))) (/ (* (+ (* -3 c) (* -3/2 c)) (- (* 1/2 (/ (- (* -27 (pow c 3)) (* 1/2 (/ (* (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (- (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) 2) (pow b 6))))) (pow b 6)))) (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2))))) (+ (* -9/16 (/ (* (pow c 2) (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c)))) (* (pow b 5) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2)))) (/ (* (+ (* -3 c) (* -3/2 c)) (- (* 1/2 (/ (- (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) 2) (pow b 6)))) (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2))))) (* 1/2 (/ (* (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (+ (* -3 c) (* -3/2 c))) (* (pow b 3) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2)))))) (+ (* 2 (pow b 2)) (pow b 2)))))) (+ (* 2 (pow b 2)) (pow b 2)))))))) (* 1/3 (- (* 1/2 (/ (- (* -27 (pow c 3)) (* 1/2 (/ (* (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (- (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) 2) (pow b 6))))) (pow b 6)))) (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2))))) (+ (* -9/16 (/ (* (pow c 2) (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c)))) (* (pow b 5) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2)))) (/ (* (+ (* -3 c) (* -3/2 c)) (- (* 1/2 (/ (- (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) 2) (pow b 6)))) (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2))))) (* 1/2 (/ (* (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (+ (* -3 c) (* -3/2 c))) (* (pow b 3) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2)))))) (+ (* 2 (pow b 2)) (pow b 2)))))))))))
(* 1/2 (/ (* a (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c)))) (pow b 3)))
(* a (+ (* 1/2 (/ (* a (- (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) 2) (pow b 6))))) (pow b 3))) (* 1/2 (/ (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (pow b 3)))))
(* a (+ (* 1/2 (/ (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (pow b 3))) (* a (+ (* 1/2 (/ (* a (- (* -27 (pow c 3)) (* 1/2 (/ (* (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (- (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) 2) (pow b 6))))) (pow b 6))))) (pow b 3))) (* 1/2 (/ (- (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) 2) (pow b 6)))) (pow b 3)))))))
(* a (+ (* 1/2 (/ (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (pow b 3))) (* a (+ (* 1/2 (/ (- (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) 2) (pow b 6)))) (pow b 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/4 (/ (pow (- (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) 2) (pow b 6)))) 2) (pow b 6))) (* 1/2 (/ (* (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (- (* -27 (pow c 3)) (* 1/2 (/ (* (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (- (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) 2) (pow b 6))))) (pow b 6))))) (pow b 6))))) (pow b 3))) (* 1/2 (/ (- (* -27 (pow c 3)) (* 1/2 (/ (* (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (- (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) 2) (pow b 6))))) (pow b 6)))) (pow b 3)))))))))
(pow b 3)
(+ (* 1/2 (/ (* a (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c)))) (pow b 3))) (pow b 3))
(+ (* a (+ (* 1/2 (/ (* a (- (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) 2) (pow b 6))))) (pow b 3))) (* 1/2 (/ (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (pow b 3))))) (pow b 3))
(+ (* a (+ (* 1/2 (/ (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (pow b 3))) (* a (+ (* 1/2 (/ (* a (- (* -27 (pow c 3)) (* 1/2 (/ (* (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (- (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) 2) (pow b 6))))) (pow b 6))))) (pow b 3))) (* 1/2 (/ (- (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) 2) (pow b 6)))) (pow b 3))))))) (pow b 3))
(* -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))))))
(* -135/128 (* (pow a 2) (pow c 4)))
(* -135/128 (* (pow a 2) (pow c 4)))
(* -135/128 (* (pow a 2) (pow c 4)))
(* -135/128 (* (pow a 2) (pow c 4)))
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(pow b 2)
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(* 1/2 (/ (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2)))))
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(* -9/16 (* a (pow c 3)))
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(* a (+ (* -9/16 (pow c 3)) (* -3/8 (/ (* (pow b 2) (pow c 2)) a))))
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(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
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(* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5))))))
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(* (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)))))))
(* 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)))))))
(* -9/16 (/ (* (pow a 2) (pow c 2)) (pow b 5)))
(* (pow a 2) (+ (* -9/16 (/ (pow c 2) (pow b 5))) (* -3/8 (/ c (* a (pow b 3))))))
(* (pow a 2) (- (+ (* -9/16 (/ (pow c 2) (pow b 5))) (* -3/8 (/ c (* a (pow b 3))))) (/ 1/2 (* (pow a 2) b))))
(* (pow a 2) (- (+ (* -9/16 (/ (pow c 2) (pow b 5))) (* -3/8 (/ c (* a (pow b 3))))) (/ 1/2 (* (pow a 2) b))))
(* -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))))))
(/ -1/3 a)
(/ -1/3 a)
(/ -1/3 a)
(/ -1/3 a)
(* -1 (* (sqrt (* a c)) (sqrt -3)))
(* a (- (/ b a) (* (sqrt (/ c a)) (sqrt -3))))
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(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
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(* (sqrt (* a c)) (sqrt -3))
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(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a)))
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(* a (+ (* -3 c) (* (sqrt (/ c a)) (* b (sqrt -3)))))
(* a (+ (* -3 c) (+ (* 2 (/ (pow b 2) a)) (* (sqrt (/ c a)) (* b (sqrt -3))))))
(* a (+ (* -3 c) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 3) (sqrt -3)))) (+ (* 2 (/ (pow b 2) a)) (* (sqrt (/ c a)) (* b (sqrt -3)))))))
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(* (sqrt (* (pow a 3) (pow c 3))) (sqrt -27))
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(* (pow a 2) (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (sqrt -27)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (sqrt -27)))) (* (sqrt (/ (pow c 3) a)) (sqrt -27)))) (/ (pow b 3) (pow a 2))))
(* (pow a 2) (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (sqrt -27)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (sqrt -27)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 7) (pow c 3)))) (/ (- (pow b 6) (* 1/4 (/ (* a (pow (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) 2)) (* (pow c 3) (pow (sqrt -27) 2))))) (sqrt -27)))) (* (sqrt (/ (pow c 3) a)) (sqrt -27))))) (/ (pow b 3) (pow a 2))))
(* (sqrt (* (pow a 3) (pow c 3))) (sqrt -27))
(* (pow a 2) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (sqrt -27)))) (* (sqrt (/ (pow c 3) a)) (sqrt -27))))
(* (pow a 2) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (sqrt -27)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (sqrt -27)))) (* (sqrt (/ (pow c 3) a)) (sqrt -27)))))
(* (pow a 2) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (sqrt -27)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (sqrt -27)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 7) (pow c 3)))) (/ (- (pow b 6) (* 1/4 (/ (* a (pow (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) 2)) (* (pow c 3) (pow (sqrt -27) 2))))) (sqrt -27)))) (* (sqrt (/ (pow c 3) a)) (sqrt -27))))))
(* -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 (* (pow a 2) (pow c 4)))
(* -135/128 (* (pow a 2) (pow c 4)))
(* -135/128 (* (pow a 2) (pow c 4)))
(* -135/128 (* (pow a 2) (pow c 4)))
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (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)))
(* (sqrt (/ (pow c 3) a)) (/ (sqrt -27) (+ (* -3 c) (* (sqrt (/ c a)) (* b (sqrt -3))))))
(+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -27)) (pow (+ (* -3 c) (* (sqrt (/ c a)) (* b (sqrt -3)))) 2)))) (* (sqrt (/ (pow c 3) a)) (/ (sqrt -27) (+ (* -3 c) (* (sqrt (/ c a)) (* b (sqrt -3)))))))
(- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* (sqrt -27) (+ (* -3 c) (* (sqrt (/ c a)) (* b (sqrt -3)))))))) (* (sqrt (/ (pow c 3) a)) (/ (sqrt -27) (+ (* -3 c) (* (sqrt (/ c a)) (* b (sqrt -3))))))) (+ (* -4 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (* (pow b 4) (sqrt -27)) (pow (+ (* -3 c) (* (sqrt (/ c a)) (* b (sqrt -3)))) 3)))) (+ (* 1/2 (/ (* (pow b 3) (* c (sqrt -27))) (* (pow a 2) (* (sqrt -3) (pow (+ (* -3 c) (* (sqrt (/ c a)) (* b (sqrt -3)))) 2))))) (+ (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -27)) (pow (+ (* -3 c) (* (sqrt (/ c a)) (* b (sqrt -3)))) 2)))) (/ (pow b 3) (* (pow a 2) (+ (* -3 c) (* (sqrt (/ c a)) (* b (sqrt -3))))))))))
(- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* (sqrt -27) (+ (* -3 c) (* (sqrt (/ c a)) (* b (sqrt -3)))))))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (* (sqrt -27) (+ (* -3 c) (* (sqrt (/ c a)) (* b (sqrt -3)))))))) (* (sqrt (/ (pow c 3) a)) (/ (sqrt -27) (+ (* -3 c) (* (sqrt (/ c a)) (* b (sqrt -3)))))))) (+ (* -4 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (* (pow b 4) (sqrt -27)) (pow (+ (* -3 c) (* (sqrt (/ c a)) (* b (sqrt -3)))) 3)))) (+ (* -1 (/ (* (pow b 5) (* c (sqrt -27))) (* (pow a 3) (* (sqrt -3) (pow (+ (* -3 c) (* (sqrt (/ c a)) (* b (sqrt -3)))) 3))))) (+ (* 1/2 (/ (* (pow b 3) (* c (sqrt -27))) (* (pow a 2) (* (sqrt -3) (pow (+ (* -3 c) (* (sqrt (/ c a)) (* b (sqrt -3)))) 2))))) (+ (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -27)) (pow (+ (* -3 c) (* (sqrt (/ c a)) (* b (sqrt -3)))) 2)))) (+ (* 2 (/ (* (pow b 2) (- (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* (sqrt -27) (+ (* -3 c) (* (sqrt (/ c a)) (* b (sqrt -3)))))))) (+ (* -4 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 4) (sqrt -27)) (pow (+ (* -3 c) (* (sqrt (/ c a)) (* b (sqrt -3)))) 3)))) (+ (* 1/2 (/ (* (pow b 3) (* c (sqrt -27))) (* (sqrt -3) (pow (+ (* -3 c) (* (sqrt (/ c a)) (* b (sqrt -3)))) 2)))) (/ (pow b 3) (+ (* -3 c) (* (sqrt (/ c a)) (* b (sqrt -3))))))))) (* (pow a 3) (+ (* -3 c) (* (sqrt (/ c a)) (* b (sqrt -3))))))) (/ (pow b 3) (* (pow a 2) (+ (* -3 c) (* (sqrt (/ c a)) (* b (sqrt -3))))))))))))
(* -9/16 (* a (pow c 3)))
(* -1 (* a (+ (* 3/8 (/ (* (pow b 2) (pow c 2)) a)) (* 9/16 (pow c 3)))))
(* -1 (* a (+ (* 3/8 (/ (* (pow b 2) (pow c 2)) a)) (* 9/16 (pow c 3)))))
(* -1 (* a (+ (* 3/8 (/ (* (pow b 2) (pow c 2)) a)) (* 9/16 (pow 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)))))
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 7)))
(* -1 (* (pow a 3) (+ (* 9/16 (/ (pow c 3) (* a (pow b 5)))) (* 135/128 (/ (pow c 4) (pow b 7))))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -3/8 (/ (pow c 2) (* a (pow b 3))))) a)) (* 135/128 (/ (pow c 4) (pow b 7))))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))) a)) (* -9/16 (/ (pow c 3) (pow b 5)))) a)) (* 135/128 (/ (pow c 4) (pow b 7))))))
(* -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))))
(* -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)))))
(* -9/16 (/ (* (pow a 2) (pow c 2)) (pow b 5)))
(* (pow a 2) (+ (* -9/16 (/ (pow c 2) (pow b 5))) (* -3/8 (/ c (* a (pow b 3))))))
(* (pow a 2) (+ (* -1 (/ (+ (* 3/8 (/ c (pow b 3))) (* 1/2 (/ 1 (* a b)))) a)) (* -9/16 (/ (pow c 2) (pow b 5)))))
(* (pow a 2) (+ (* -1 (/ (+ (* 3/8 (/ c (pow b 3))) (* 1/2 (/ 1 (* a b)))) a)) (* -9/16 (/ (pow c 2) (pow b 5)))))
(* -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)))))
(/ -1/3 a)
(/ -1/3 a)
(/ -1/3 a)
(/ -1/3 a)
(* (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))))))
(* -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))))))
(* -1 (* a (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3)))))))
(* -1 (* a (+ (* -2 (/ (pow b 2) a)) (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))))))
(* -1 (* a (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 3) (sqrt -1)) (sqrt 3)))) (* 2 (pow b 2))) a)) (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))))))
(* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 5) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 3) (sqrt -1)) (sqrt 3))))) a)) (* 2 (pow b 2))) a)) (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))))))
(* -1/3 (* (sqrt (/ (pow c 3) a)) (/ (* (sqrt -1) (sqrt 27)) (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))))))
(+ (* -2/3 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (* (sqrt -1) (sqrt 27))) (pow (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) 2)))) (* -1/3 (* (sqrt (/ (pow c 3) a)) (/ (* (sqrt -1) (sqrt 27)) (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3)))))))))
(+ (* -1 (/ (+ (* 1/3 (/ (- (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (* (sqrt -1) (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2))))) (* (sqrt 27) (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))))))) (+ (* -4 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 4) (* (sqrt -1) (sqrt 27))) (pow (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) 3)))) (+ (* 1/2 (/ (* (pow b 3) (* c (sqrt 27))) (* (sqrt 3) (pow (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) 2)))) (/ (pow b 3) (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))))))) a)) (* 2/3 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 2) (* (sqrt -1) (sqrt 27))) (pow (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) 2))))) a)) (* -1/3 (* (sqrt (/ (pow c 3) a)) (/ (* (sqrt -1) (sqrt 27)) (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3)))))))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (- (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (* (sqrt -1) (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2))))) (* (sqrt 27) (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))))))) (+ (* -4 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 4) (* (sqrt -1) (sqrt 27))) (pow (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) 3)))) (+ (* 1/2 (/ (* (pow b 3) (* c (sqrt 27))) (* (sqrt 3) (pow (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) 2)))) (/ (pow b 3) (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3)))))))))) (* 1/3 (/ (- (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (* (sqrt -1) (+ (* 3 (* (pow b 4) c)) (* 6 (* (pow b 4) c)))) (* (sqrt 27) (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))))))) (+ (* -1 (/ (* (pow b 5) (* c (sqrt 27))) (* (sqrt 3) (pow (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) 3)))) (* 2 (/ (* (pow b 2) (- (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (* (sqrt -1) (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2))))) (* (sqrt 27) (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))))))) (+ (* -4 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 4) (* (sqrt -1) (sqrt 27))) (pow (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) 3)))) (+ (* 1/2 (/ (* (pow b 3) (* c (sqrt 27))) (* (sqrt 3) (pow (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) 2)))) (/ (pow b 3) (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3)))))))))) (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))))))) a))) a)) (* 2/3 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 2) (* (sqrt -1) (sqrt 27))) (pow (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) 2))))) a)) (* -1/3 (* (sqrt (/ (pow c 3) a)) (/ (* (sqrt -1) (sqrt 27)) (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3)))))))))
(* (sqrt (* (pow a 3) (pow c 3))) (* (sqrt -1) (sqrt 27)))
(* (pow a 2) (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (sqrt -1) (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2))))) (sqrt 27)))) (* (sqrt (/ (pow c 3) a)) (* (sqrt -1) (sqrt 27)))) (/ (pow b 3) (pow a 2))))
(* (pow a 2) (- (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (sqrt -1) (+ (* 3 (* (pow b 4) c)) (* 6 (* (pow b 4) c)))) (sqrt 27)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (sqrt -1) (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2))))) (sqrt 27)))) (* (sqrt (/ (pow c 3) a)) (* (sqrt -1) (sqrt 27))))) (/ (pow b 3) (pow a 2))))
(* (pow a 2) (- (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (sqrt -1) (- (pow b 6) (* -1/4 (/ (* a (pow (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) 2)) (* (pow c 3) (pow (sqrt 27) 2)))))) (sqrt 27)))) (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (* (sqrt -1) (+ (* 3 (* (pow b 4) c)) (* 6 (* (pow b 4) c)))) (sqrt 27))))) (pow a 3))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (sqrt -1) (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2))))) (sqrt 27)))) (* (sqrt (/ (pow c 3) a)) (* (sqrt -1) (sqrt 27))))) (/ (pow b 3) (pow a 2))))
(* (sqrt (* (pow a 3) (pow c 3))) (* (sqrt -1) (sqrt 27)))
(* (pow a 2) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (sqrt -1) (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2))))) (sqrt 27)))) (* (sqrt (/ (pow c 3) a)) (* (sqrt -1) (sqrt 27)))))
(* (pow a 2) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (sqrt -1) (+ (* 3 (* (pow b 4) c)) (* 6 (* (pow b 4) c)))) (sqrt 27)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (sqrt -1) (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2))))) (sqrt 27)))) (* (sqrt (/ (pow c 3) a)) (* (sqrt -1) (sqrt 27))))))
(* (pow a 2) (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (sqrt -1) (- (pow b 6) (* -1/4 (/ (* a (pow (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) 2)) (* (pow c 3) (pow (sqrt 27) 2)))))) (sqrt 27)))) (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (* (sqrt -1) (+ (* 3 (* (pow b 4) c)) (* 6 (* (pow b 4) c)))) (sqrt 27))))) (pow a 3))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (sqrt -1) (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2))))) (sqrt 27)))) (* (sqrt (/ (pow c 3) a)) (* (sqrt -1) (sqrt 27))))))
(* -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 (* (pow a 2) (pow c 4)))
(* -135/128 (* (pow a 2) (pow c 4)))
(* -135/128 (* (pow a 2) (pow c 4)))
(* -135/128 (* (pow a 2) (pow c 4)))
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(* -3 (* a c))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))
(* -1 (* (sqrt (/ (pow c 3) a)) (/ (* (sqrt -1) (sqrt 27)) (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))))))
(+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (* (sqrt -1) (sqrt 27))) (pow (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) 2)))) (* -1 (* (sqrt (/ (pow c 3) a)) (/ (* (sqrt -1) (sqrt 27)) (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3)))))))))
(+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (* (sqrt -1) (sqrt 27)) (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3)))))))) (* -1 (/ (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (sqrt -1) (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2))))) (* (sqrt 27) (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))))))) (* 2 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 2) (* (sqrt -1) (sqrt 27))) (pow (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) 2))))) (+ (* -4 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 4) (* (sqrt -1) (sqrt 27))) (pow (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) 3)))) (+ (* 1/2 (/ (* (pow b 3) (* c (sqrt 27))) (* a (* (sqrt 3) (pow (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) 2))))) (/ (pow b 3) (* a (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3)))))))))) a)))
(+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (* (sqrt -1) (sqrt 27)) (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3)))))))) (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (- (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (* (sqrt -1) (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2))))) (* (sqrt 27) (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))))))) (+ (* -4 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 4) (* (sqrt -1) (sqrt 27))) (pow (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) 3)))) (+ (* 1/2 (/ (* (pow b 3) (* c (sqrt 27))) (* (sqrt 3) (pow (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) 2)))) (/ (pow b 3) (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3)))))))))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (sqrt -1) (+ (* 3 (* (pow b 4) c)) (* 6 (* (pow b 4) c)))) (* (sqrt 27) (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3)))))))))) (+ (* -1 (/ (* (pow b 5) (* c (sqrt 27))) (* a (* (sqrt 3) (pow (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) 3))))) (* 2 (/ (* (pow b 2) (- (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (* (sqrt -1) (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2))))) (* (sqrt 27) (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))))))) (+ (* -4 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 4) (* (sqrt -1) (sqrt 27))) (pow (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) 3)))) (+ (* 1/2 (/ (* (pow b 3) (* c (sqrt 27))) (* (sqrt 3) (pow (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) 2)))) (/ (pow b 3) (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3)))))))))) (* a (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3)))))))))) a)) (* 2 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 2) (* (sqrt -1) (sqrt 27))) (pow (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) 2))))) a)))
Outputs
(* -3/8 (* (pow b 2) (pow c 2)))
(*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c))
(* (pow c 2) (+ (* -9/16 (* a c)) (* -3/8 (pow b 2))))
(*.f64 (*.f64 c c) (fma.f64 #s(literal -9/16 binary64) (*.f64 a c) (*.f64 #s(literal -3/8 binary64) (*.f64 b b))))
(* (pow c 2) (+ (* -9/16 (* a c)) (* -3/8 (pow b 2))))
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(* (pow a 2) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5))))))
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(* (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))))
(*.f64 (*.f64 a a) (-.f64 (/.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 7 binary64))) (/.f64 (fma.f64 (/.f64 #s(literal 3/8 binary64) a) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal 9/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) 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))))
(*.f64 (*.f64 a a) (-.f64 (/.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 7 binary64))) (/.f64 (fma.f64 (/.f64 #s(literal 3/8 binary64) a) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal 9/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a)))
(* -135/128 (* (pow a 2) (pow c 4)))
(*.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)))
(* -135/128 (* (pow a 2) (pow c 4)))
(*.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)))
(* -135/128 (* (pow a 2) (pow c 4)))
(*.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)))
(* -135/128 (* (pow a 2) (pow c 4)))
(*.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)))
(/ (pow b 2) a)
(/.f64 (*.f64 b b) a)
(/ (pow b 2) a)
(/.f64 (*.f64 b b) a)
(/ (pow b 2) a)
(/.f64 (*.f64 b b) a)
(/ (pow b 2) a)
(/.f64 (*.f64 b b) a)
(* -3 (* a c))
(*.f64 #s(literal -3 binary64) (*.f64 a c))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))
(neg.f64 (*.f64 a (fma.f64 #s(literal 3 binary64) c (neg.f64 (/.f64 (*.f64 b b) a)))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))
(neg.f64 (*.f64 a (fma.f64 #s(literal 3 binary64) c (neg.f64 (/.f64 (*.f64 b b) a)))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))
(neg.f64 (*.f64 a (fma.f64 #s(literal 3 binary64) c (neg.f64 (/.f64 (*.f64 b b) a)))))
(* -1 (* (sqrt (/ (pow c 3) a)) (/ (* (sqrt -1) (sqrt 27)) (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))))))
(neg.f64 (*.f64 (sqrt.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (sqrt.f64 #s(literal 27 binary64)) (fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 #s(literal 3 binary64) c))))))
(+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (* (sqrt -1) (sqrt 27))) (pow (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) 2)))) (* -1 (* (sqrt (/ (pow c 3) a)) (/ (* (sqrt -1) (sqrt 27)) (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3)))))))))
(fma.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))))) (/.f64 (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 27 binary64))) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 #s(literal 3 binary64) c)) #s(literal 2 binary64))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (sqrt.f64 #s(literal 27 binary64)) (fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 #s(literal 3 binary64) c)))))))
(+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (* (sqrt -1) (sqrt 27)) (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3)))))))) (* -1 (/ (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (sqrt -1) (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2))))) (* (sqrt 27) (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))))))) (* 2 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 2) (* (sqrt -1) (sqrt 27))) (pow (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) 2))))) (+ (* -4 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 4) (* (sqrt -1) (sqrt 27))) (pow (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) 3)))) (+ (* 1/2 (/ (* (pow b 3) (* c (sqrt 27))) (* a (* (sqrt 3) (pow (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) 2))))) (/ (pow b 3) (* a (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3)))))))))) a)))
(-.f64 (neg.f64 (*.f64 (sqrt.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (sqrt.f64 #s(literal 27 binary64)) (fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 #s(literal 3 binary64) c)))))) (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (pow.f64 c #s(literal 3 binary64)))))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 b b) (*.f64 c c)) #s(literal 27 binary64))) (*.f64 (sqrt.f64 #s(literal 27 binary64)) (fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 #s(literal 3 binary64) c)))) (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) a))) (/.f64 (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 27 binary64))) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 #s(literal 3 binary64) c)) #s(literal 2 binary64))))) (fma.f64 #s(literal -4 binary64) (*.f64 (sqrt.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (/.f64 (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 27 binary64))) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 #s(literal 3 binary64) c)) #s(literal 3 binary64)))) (fma.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (/.f64 (*.f64 (*.f64 (pow.f64 b #s(literal 3 binary64)) c) (sqrt.f64 #s(literal 27 binary64))) (sqrt.f64 #s(literal 3 binary64))) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 #s(literal 3 binary64) c)) #s(literal 2 binary64))) (/.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) a) (fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 #s(literal 3 binary64) c)))))) a))
(+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (* (sqrt -1) (sqrt 27)) (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3)))))))) (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (- (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (* (sqrt -1) (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2))))) (* (sqrt 27) (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))))))) (+ (* -4 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 4) (* (sqrt -1) (sqrt 27))) (pow (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) 3)))) (+ (* 1/2 (/ (* (pow b 3) (* c (sqrt 27))) (* (sqrt 3) (pow (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) 2)))) (/ (pow b 3) (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3)))))))))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (sqrt -1) (+ (* 3 (* (pow b 4) c)) (* 6 (* (pow b 4) c)))) (* (sqrt 27) (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3)))))))))) (+ (* -1 (/ (* (pow b 5) (* c (sqrt 27))) (* a (* (sqrt 3) (pow (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) 3))))) (* 2 (/ (* (pow b 2) (- (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (* (sqrt -1) (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2))))) (* (sqrt 27) (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))))))) (+ (* -4 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 4) (* (sqrt -1) (sqrt 27))) (pow (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) 3)))) (+ (* 1/2 (/ (* (pow b 3) (* c (sqrt 27))) (* (sqrt 3) (pow (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) 2)))) (/ (pow b 3) (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3)))))))))) (* a (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3)))))))))) a)) (* 2 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 2) (* (sqrt -1) (sqrt 27))) (pow (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) 2))))) a)))
(-.f64 (neg.f64 (*.f64 (sqrt.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (sqrt.f64 #s(literal 27 binary64)) (fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 #s(literal 3 binary64) c)))))) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) a))) (/.f64 (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 27 binary64))) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 #s(literal 3 binary64) c)) #s(literal 2 binary64)))) (/.f64 (-.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (pow.f64 c #s(literal 3 binary64)))))) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 27 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) c) #s(literal 9 binary64)) (fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 #s(literal 3 binary64) c))))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 a (pow.f64 c #s(literal 3 binary64))))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 b b) (*.f64 c c)) #s(literal 27 binary64))) (*.f64 (sqrt.f64 #s(literal 27 binary64)) (fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 #s(literal 3 binary64) c))))) (fma.f64 (*.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) a))) (/.f64 (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 27 binary64))) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 #s(literal 3 binary64) c)) #s(literal 3 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (*.f64 (*.f64 (pow.f64 b #s(literal 3 binary64)) c) (sqrt.f64 #s(literal 27 binary64))) (sqrt.f64 #s(literal 3 binary64))) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 #s(literal 3 binary64) c)) #s(literal 2 binary64))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 #s(literal 3 binary64) c))))))) (fma.f64 #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 b b) a) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 a (pow.f64 c #s(literal 3 binary64))))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 b b) (*.f64 c c)) #s(literal 27 binary64))) (*.f64 (sqrt.f64 #s(literal 27 binary64)) (fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 #s(literal 3 binary64) c))))) (fma.f64 (*.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) a))) (/.f64 (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 27 binary64))) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 #s(literal 3 binary64) c)) #s(literal 3 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (*.f64 (*.f64 (pow.f64 b #s(literal 3 binary64)) c) (sqrt.f64 #s(literal 27 binary64))) (sqrt.f64 #s(literal 3 binary64))) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 #s(literal 3 binary64) c)) #s(literal 2 binary64))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 #s(literal 3 binary64) c)))))) (fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 #s(literal 3 binary64) c)))) (neg.f64 (/.f64 (/.f64 (*.f64 (*.f64 (pow.f64 b #s(literal 5 binary64)) c) (sqrt.f64 #s(literal 27 binary64))) a) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 #s(literal 3 binary64) c)) #s(literal 3 binary64))))))) a)) a))

rewrite285.0ms (2.3%)

Memory
3.8MiB live, 349.5MiB allocated
Rules
5 612×lower-*.f32
5 574×lower-*.f64
4 852×lower-fma.f32
4 840×lower-fma.f64
2 660×lower-pow.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0104666
0156644
1608587
24890587
08868575
Stop Event
iter limit
node limit
iter limit
Counts
26 → 607
Calls
Call 1
Inputs
(fma.f64 (*.f64 (*.f64 (*.f64 b c) c) b) #s(literal -3/8 binary64) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64)))
#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 (fma.f64 (*.f64 (*.f64 (*.f64 b c) c) b) #s(literal -3/8 binary64) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) b) b (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
(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 (fma.f64 (*.f64 (*.f64 (*.f64 b c) c) b) #s(literal -3/8 binary64) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) b) b (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#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 (fma.f64 (*.f64 (*.f64 (*.f64 b c) c) b) #s(literal -3/8 binary64) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) b) b (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a))) (pow.f64 b #s(literal 7 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c))
(*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c)
#s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b))
(/.f64 #s(literal -1/2 binary64) b)
(*.f64 (fma.f64 #s(literal -3 binary64) c (*.f64 b (/.f64 b a))) a)
(+.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 (+.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))
(neg.f64 b)
(pow.f64 (*.f64 #s(literal -3 binary64) a) #s(literal -1 binary64))
(neg.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))
(*.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (pow.f64 (*.f64 #s(literal -3 binary64) a) #s(literal -1 binary64)))
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)
(fma.f64 b (+.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 (*.f64 b b)))
(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.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) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) #s(literal 3 binary64))
(-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))
(pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64))
(/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 b c) c) b) #s(literal -3/8 binary64) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) b) b (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a))) (pow.f64 b #s(literal 7 binary64)))
(*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a))
(*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64)))
(*.f64 b (/.f64 b a))
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))
(/.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.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) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))
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eval340.0ms (2.8%)

Memory
-5.4MiB live, 657.4MiB allocated
Compiler

Compiled 73 655 to 6 197 computations (91.6% saved)

prune208.0ms (1.7%)

Memory
8.1MiB live, 433.3MiB allocated
Pruning

104 alts after pruning (102 fresh and 2 done)

PrunedKeptTotal
New1 656371 693
Fresh116576
Picked415
Done011
Total1 6711041 775
Accuracy
99.5%
Counts
1 775 → 104
Alt Table
Click to see full alt table
StatusAccuracyProgram
56.3%
(/.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 (*.f64 (fma.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal -1 binary64)) (neg.f64 (/.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) a) (fma.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) #s(literal 3 binary64))
56.0%
(/.f64 (fma.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/4 binary64)) (fma.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/4 binary64)) a) (neg.f64 (/.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) a) (fma.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) #s(literal 3 binary64))
54.8%
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (pow.f64 a #s(literal -1 binary64)) (neg.f64 (/.f64 b a))) #s(literal 3 binary64))
55.4%
(/.f64 (/.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 1/4 binary64)) (neg.f64 b)) a) #s(literal 3 binary64))
57.6%
(/.f64 (/.f64 (fma.f64 (*.f64 b b) (neg.f64 b) (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64))) (*.f64 a (fma.f64 b (+.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 (*.f64 b b))))) #s(literal 3 binary64))
55.5%
(/.f64 (/.f64 (fma.f64 (sqrt.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) (sqrt.f64 (pow.f64 (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) c) (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (pow.f64 b #s(literal 4 binary64))) #s(literal -1 binary64))) (neg.f64 b)) a) #s(literal 3 binary64))
55.7%
(/.f64 (/.f64 (fma.f64 (sqrt.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -3 binary64) c) a) #s(literal 2 binary64)))) (sqrt.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) #s(literal -1 binary64))) (neg.f64 b)) a) #s(literal 3 binary64))
55.3%
(/.f64 (/.f64 (fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (neg.f64 b)) a) #s(literal 3 binary64))
55.4%
(/.f64 (/.f64 (/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (*.f64 (+.f64 #s(literal 0 binary64) b) (sqrt.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -3 binary64) c) a) #s(literal 2 binary64)))))) (*.f64 (+.f64 #s(literal 0 binary64) b) (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))))) a) #s(literal 3 binary64))
56.6%
(/.f64 (/.f64 (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a) #s(literal 3 binary64))
56.6%
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b)))) a) #s(literal 3 binary64))
56.6%
(/.f64 (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b)) (*.f64 a (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) #s(literal 3 binary64))
56.5%
(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.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) c) a (*.f64 b b))) b) (exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 2 binary64)))))) #s(literal 3 binary64))
56.5%
(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (*.f64 a (fma.f64 b (+.f64 (sqrt.f64 (exp.f64 (log.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) #s(literal 3 binary64))
56.5%
(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (*.f64 a (+.f64 (+.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))) #s(literal 3 binary64))
56.8%
(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a)) #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) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) #s(literal 3 binary64))
55.8%
(/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) a) (fma.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) a) (fma.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 2 binary64))) (+.f64 (/.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) a) (fma.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (/.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) a) (fma.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) #s(literal 3 binary64))
54.3%
(/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 2 binary64)) (pow.f64 (/.f64 b a) #s(literal 2 binary64))) (+.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 b a))) #s(literal 3 binary64))
56.1%
(/.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (/.f64 (*.f64 b b) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) a) #s(literal 3 binary64))
56.2%
(/.f64 (/.f64 (-.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (fma.f64 b (+.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 (*.f64 b b)))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b (+.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 (*.f64 b b))))) a) #s(literal 3 binary64))
56.2%
(/.f64 (/.f64 (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (pow.f64 b #s(literal 3 binary64))) (*.f64 a (fma.f64 b (+.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 (*.f64 b b))))) #s(literal 3 binary64))
54.3%
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (*.f64 a b)) (*.f64 a a)) #s(literal 3 binary64))
54.3%
(/.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))
54.1%
(/.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))
55.3%
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))) b) a) #s(literal 3 binary64))
56.6%
(/.f64 (/.f64 (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b)) (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))
56.5%
(/.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (pow.f64 a #s(literal -1 binary64))) (fma.f64 b (+.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 (*.f64 b b)))) #s(literal 3 binary64))
55.6%
(/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/4 binary64)) (pow.f64 b #s(literal 3/2 binary64))) (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/4 binary64)) (pow.f64 b #s(literal 3/2 binary64)))) (*.f64 a (fma.f64 b (+.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 (*.f64 b b))))) #s(literal 3 binary64))
91.4%
(/.f64 (/.f64 #s(approx (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) (*.f64 b (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a c) #s(literal -9 binary64))) (fma.f64 #s(literal -27 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64))))))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (pow.f64 b #s(literal 6 binary64))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64))))))) (pow.f64 b #s(literal 4 binary64))) (/.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) (*.f64 b b))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a c) #s(literal -9 binary64))))))) (*.f64 a (fma.f64 b (+.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 (*.f64 b b))))) #s(literal 3 binary64))
91.4%
(/.f64 (/.f64 #s(approx (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) (*.f64 a (fma.f64 a (fma.f64 a (fma.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) c) #s(literal -9 binary64)) (/.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 c #s(literal 3 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) c) #s(literal -9 binary64)) (/.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) c) #s(literal -9 binary64)) #s(literal 2 binary64)) (pow.f64 b #s(literal 6 binary64))))) (pow.f64 b #s(literal 6 binary64)))))) (pow.f64 b #s(literal 6 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) c) #s(literal -9 binary64)) #s(literal 2 binary64)) (pow.f64 b #s(literal 6 binary64))))) #s(literal 2 binary64)) (pow.f64 b #s(literal 6 binary64))))) (pow.f64 b #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 c #s(literal 3 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) c) #s(literal -9 binary64)) (/.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) c) #s(literal -9 binary64)) #s(literal 2 binary64)) (pow.f64 b #s(literal 6 binary64))))) (pow.f64 b #s(literal 6 binary64)))))) (pow.f64 b #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) c) #s(literal -9 binary64)) #s(literal 2 binary64)) (pow.f64 b #s(literal 6 binary64))))) (pow.f64 b #s(literal 3 binary64))))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) c) #s(literal -9 binary64))) (pow.f64 b #s(literal 3 binary64)))))) (*.f64 a (fma.f64 b (+.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 (*.f64 b b))))) #s(literal 3 binary64))
64.6%
(/.f64 (/.f64 #s(approx (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) a) #s(literal 3 binary64))
55.3%
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal -1 binary64))) #s(literal 3 binary64))
55.3%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) #s(literal 3 binary64))
56.6%
(/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b)) (*.f64 (*.f64 #s(literal 3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
56.5%
(/.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.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 (+.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 (*.f64 b b)))))
55.4%
(/.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) c (*.f64 (/.f64 b a) b)) a))))) (/.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (*.f64 (/.f64 b a) b)) a)) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (*.f64 (/.f64 b a) b)) a)))))) (*.f64 #s(literal 3 binary64) a))
54.6%
(/.f64 (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 b a)) #s(literal 3 binary64))
55.3%
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64)))
55.3%
(/.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))
55.3%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 c #s(literal 3 binary64)) a)))) (*.f64 #s(literal 3 binary64) a))
55.0%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 (*.f64 (/.f64 b a) b) a (*.f64 (*.f64 #s(literal -3 binary64) c) a))))) (*.f64 #s(literal 3 binary64) a))
55.2%
(/.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))
55.3%
(/.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))
56.5%
(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) #s(literal 1/3 binary64)) (*.f64 (fma.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a))
56.6%
(/.f64 (*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1/3 binary64) a)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))
54.8%
(/.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))
55.2%
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal 1/3 binary64)) a)
54.9%
(/.f64 (*.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (*.f64 (/.f64 b a) b)) a))) b) #s(literal 1/3 binary64)) a)
81.6%
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (/.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 (*.f64 a c) c) b) (*.f64 #s(literal -3/2 binary64) c)) b)) #s(literal 3 binary64))
90.8%
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (/.f64 (fma.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 a a)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 405/64 binary64))) (pow.f64 b #s(literal 6 binary64))) (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 (*.f64 a c) c) b) (*.f64 #s(literal -3/2 binary64) c)))) b)) #s(literal 3 binary64))
81.7%
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (*.f64 (fma.f64 (*.f64 #s(literal -9/8 binary64) a) (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal -3/2 binary64) b)) c)) #s(literal 3 binary64))
64.7%
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64))
81.5%
(/.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))
81.7%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 #s(literal -9/8 binary64) (*.f64 (/.f64 (*.f64 a a) b) (/.f64 (*.f64 c c) b)) (*.f64 (*.f64 #s(literal -3/2 binary64) a) c)) b)) (*.f64 #s(literal 3 binary64) a))
64.7%
(/.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))
64.7%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)))) (*.f64 #s(literal 3 binary64) a))
55.3%
(/.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)))
55.3%
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal 1/3 binary64))))
55.3%
(/.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)))
55.3%
(/.f64 #s(literal 1/3 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
56.2%
(-.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (*.f64 (*.f64 (fma.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 3 binary64))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (*.f64 (*.f64 (fma.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 3 binary64))))
55.6%
(-.f64 (/.f64 (/.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) a) (fma.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 3 binary64)) (/.f64 (/.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) a) (fma.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 3 binary64)))
54.1%
(-.f64 (/.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 3 binary64)) (/.f64 (/.f64 b a) #s(literal 3 binary64)))
54.5%
(-.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))))
55.3%
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 1/3 binary64))
55.2%
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))
54.9%
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (*.f64 (/.f64 b a) b)) a))) b))
55.2%
(*.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)))
56.5%
(*.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (pow.f64 (*.f64 (*.f64 (fma.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 3 binary64)) #s(literal -1 binary64)))
56.5%
(*.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (+.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (-.f64 (*.f64 b b) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (neg.f64 b)))))) (pow.f64 (*.f64 #s(literal -3 binary64) a) #s(literal -1 binary64)))
56.1%
(*.f64 (neg.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (/.f64 (*.f64 b b) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))) (pow.f64 (*.f64 #s(literal -3 binary64) a) #s(literal -1 binary64)))
55.3%
(*.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (/.f64 (pow.f64 a #s(literal -1 binary64)) #s(literal -3 binary64)))
55.3%
(*.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) a)))
64.6%
#s(approx (/ (/ (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) (* a (+ (* b (+ (sqrt (+ (* (* -3 c) a) (* b b))) b)) (+ (* (* -3 c) a) (* b b))))) 3) (*.f64 (/.f64 #s(literal 1/18 binary64) a) (/.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) b)))
81.9%
#s(approx (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (/.f64 (fma.f64 (/.f64 (*.f64 a #s(literal -3/8 binary64)) b) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -1/2 binary64) c)) b))
88.2%
#s(approx (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (/.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 (*.f64 a #s(literal -3/8 binary64)) b) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -1/2 binary64) c))) b))
81.7%
#s(approx (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (*.f64 (fma.f64 (*.f64 a #s(literal -3/8 binary64)) (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) b)) c))
11.6%
#s(approx (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))))
81.9%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (/.f64 (/.f64 (*.f64 c c) (*.f64 b b)) b) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
81.7%
#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 #s(literal -1/2 binary64) (/.f64 b c))))
91.1%
#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(approx (+ (* (* (* (* b c) c) b) -3/8) (* (* (pow c 3) a) -9/16)) (*.f64 (*.f64 c c) (fma.f64 #s(literal -9/16 binary64) (*.f64 a c) (*.f64 #s(literal -3/8 binary64) (*.f64 b b))))) b) b (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
88.3%
#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 -9/16 binary64) a) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal 3 binary64)))) (*.f64 c c))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
81.8%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 c (/.f64 #s(literal -1/2 binary64) b) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) a) c) c) (pow.f64 b #s(literal -3 binary64)))))
91.0%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 c (/.f64 #s(literal -1/2 binary64) b) (*.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 (pow.f64 b #s(literal -7 binary64)) (fma.f64 (*.f64 (*.f64 a a) #s(literal -135/128 binary64)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal -3/8 binary64) (pow.f64 (*.f64 c b) #s(literal 2 binary64)) (*.f64 #s(literal -9/16 binary64) (*.f64 a (pow.f64 c #s(literal 3 binary64))))) b) b)))) a)))
91.0%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (-.f64 (pow.f64 (*.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 (pow.f64 b #s(literal -7 binary64)) (fma.f64 (*.f64 (*.f64 a a) #s(literal -135/128 binary64)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal -3/8 binary64) (pow.f64 (*.f64 c b) #s(literal 2 binary64)) (*.f64 #s(literal -9/16 binary64) (*.f64 a (pow.f64 c #s(literal 3 binary64))))) b) b)))) a) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 c b)) #s(literal 2 binary64))) (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 (pow.f64 b #s(literal -7 binary64)) (fma.f64 (*.f64 (*.f64 a a) #s(literal -135/128 binary64)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal -3/8 binary64) (pow.f64 (*.f64 c b) #s(literal 2 binary64)) (*.f64 #s(literal -9/16 binary64) (*.f64 a (pow.f64 c #s(literal 3 binary64))))) b) b)))) a (*.f64 #s(literal 1/2 binary64) (/.f64 c b)))))
64.7%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c)))
88.1%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 #s(approx (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) (/.f64 (fma.f64 (*.f64 (*.f64 b b) a) #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 a a) c) #s(literal -9/16 binary64))) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 #s(literal -1/2 binary64) b)) c))
64.7%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
87.9%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a c) c) a) (pow.f64 b #s(literal 4 binary64))) #s(literal 9/16 binary64) (fma.f64 (*.f64 #s(literal 3/8 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1/2 binary64))) (neg.f64 b))) c))
87.7%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) (*.f64 (*.f64 a c) #s(literal -3/8 binary64))) b) b (*.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -9/16 binary64)) c)) (pow.f64 b #s(literal 5 binary64)))) c))
81.6%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (*.f64 #s(literal 3/8 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1/2 binary64)) (neg.f64 b))) c))
87.6%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (*.f64 c c) (*.f64 (*.f64 b b) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) (*.f64 #s(literal -3/8 binary64) (*.f64 a c))))) (pow.f64 b #s(literal 5 binary64)))) c))
64.7%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c))
87.8%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (*.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) (fma.f64 (/.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) c) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b c) c)))) (*.f64 c c))) c))
87.8%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (*.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) (/.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal 3/8 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 b c))) (neg.f64 c))) (*.f64 c c))) c))
91.0%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #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))) a) (* (/ c b) -1/2)) (/.f64 (fma.f64 #s(literal -135/128 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 6 binary64))) (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 (*.f64 a a) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) b) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -1/2 binary64) c)))) b)))
90.7%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #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))) a) (* (/ c b) -1/2)) (*.f64 (pow.f64 c #s(literal 4 binary64)) (fma.f64 #s(literal -135/128 binary64) (/.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 7 binary64))) (-.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal 3 binary64))) (/.f64 a (*.f64 c c)) (*.f64 (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 a a) c))) (/.f64 #s(literal 1/2 binary64) (*.f64 b (pow.f64 c #s(literal 3 binary64)))))))))
90.7%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #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))) a) (* (/ c b) -1/2)) (*.f64 (pow.f64 c #s(literal 4 binary64)) (-.f64 (/.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 b #s(literal 7 binary64))) (/.f64 (fma.f64 #s(literal 9/16 binary64) (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) (neg.f64 (/.f64 (-.f64 (*.f64 #s(literal -3/8 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (*.f64 b c))) c))) c)))))
90.9%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #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))) a) (* (/ c b) -1/2)) (*.f64 c (fma.f64 c (fma.f64 c (fma.f64 #s(literal -135/128 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 c (pow.f64 b #s(literal 7 binary64)))) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) (*.f64 #s(literal -3/8 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64))))) (neg.f64 (/.f64 #s(literal 1/2 binary64) b))))))
81.7%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (+ (* (* -3/8 a) (* c (/ c (pow b 3)))) (* (/ c b) -1/2)) (/.f64 (fma.f64 (*.f64 (*.f64 b c) b) #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 a c) c) #s(literal -3/8 binary64))) (pow.f64 b #s(literal 3 binary64)))))
81.7%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (+ (* (* -3/8 a) (* c (/ c (pow b 3)))) (* (/ c b) -1/2)) (*.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 c b) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a)))
87.8%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) c) (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 b c) b) #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 a c) c) #s(literal -3/8 binary64))) b) b (*.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) #s(literal -9/16 binary64))) (pow.f64 b #s(literal 5 binary64)))))
87.7%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) c) (/.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 c #s(literal 3 binary64)) (*.f64 (*.f64 b b) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) c) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))))) (pow.f64 b #s(literal 5 binary64)))))
87.9%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) c) (*.f64 (neg.f64 (pow.f64 c #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) #s(literal 9/16 binary64) (/.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 b c))) (neg.f64 c))))))
Compiler

Compiled 7 121 to 3 843 computations (46% saved)

simplify195.0ms (1.6%)

Memory
13.4MiB live, 360.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 2 binary64)) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))
cost-diff0
(/.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 2 binary64)) (pow.f64 (/.f64 b a) #s(literal 2 binary64))) (+.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 b a)))
cost-diff6400
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 2 binary64))
cost-diff11264
(/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 2 binary64)) (pow.f64 (/.f64 b a) #s(literal 2 binary64))) (+.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 b a))) #s(literal 3 binary64))
cost-diff0
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))
cost-diff0
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))
cost-diff384
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (pow.f64 a #s(literal -1 binary64)) (neg.f64 (/.f64 b a))) #s(literal 3 binary64))
cost-diff6784
(fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (pow.f64 a #s(literal -1 binary64)) (neg.f64 (/.f64 b a)))
cost-diff0
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))
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))) (*.f64 a #s(literal 3 binary64)))
cost-diff1024
(-.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))))
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-diff320
(*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64))))))
cost-diff320
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a c) #s(literal -9 binary64)))
cost-diff576
(fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a c) #s(literal -9 binary64))) (fma.f64 #s(literal -27 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64))))))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (pow.f64 b #s(literal 6 binary64))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64))))))) (pow.f64 b #s(literal 4 binary64))) (/.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) (*.f64 b b))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a c) #s(literal -9 binary64)))))
cost-diff7488
(fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64))))
Rules
19 478×lower-fma.f32
19 462×lower-fma.f64
7 876×lower-*.f32
7 844×lower-*.f64
4 834×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0871786
01501780
12991722
28731692
342331363
080231348
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (/.f64 #s(approx (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) (*.f64 b (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a c) #s(literal -9 binary64))) (fma.f64 #s(literal -27 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64))))))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (pow.f64 b #s(literal 6 binary64))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64))))))) (pow.f64 b #s(literal 4 binary64))) (/.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) (*.f64 b b))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a c) #s(literal -9 binary64))))))) (*.f64 a (fma.f64 b (+.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 (*.f64 b b))))) #s(literal 3 binary64))
(/.f64 #s(approx (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) (*.f64 b (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a c) #s(literal -9 binary64))) (fma.f64 #s(literal -27 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64))))))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (pow.f64 b #s(literal 6 binary64))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64))))))) (pow.f64 b #s(literal 4 binary64))) (/.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) (*.f64 b b))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a c) #s(literal -9 binary64))))))) (*.f64 a (fma.f64 b (+.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 (*.f64 b b)))))
#s(approx (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) (*.f64 b (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a c) #s(literal -9 binary64))) (fma.f64 #s(literal -27 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64))))))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (pow.f64 b #s(literal 6 binary64))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64))))))) (pow.f64 b #s(literal 4 binary64))) (/.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) (*.f64 b b))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a c) #s(literal -9 binary64)))))))
(*.f64 b (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a c) #s(literal -9 binary64))) (fma.f64 #s(literal -27 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64))))))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (pow.f64 b #s(literal 6 binary64))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64))))))) (pow.f64 b #s(literal 4 binary64))) (/.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) (*.f64 b b))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a c) #s(literal -9 binary64))))))
b
(fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a c) #s(literal -9 binary64))) (fma.f64 #s(literal -27 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64))))))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (pow.f64 b #s(literal 6 binary64))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64))))))) (pow.f64 b #s(literal 4 binary64))) (/.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) (*.f64 b b))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a c) #s(literal -9 binary64)))))
#s(literal -1/2 binary64)
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a c) #s(literal -9 binary64))) (fma.f64 #s(literal -27 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64))))))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (pow.f64 b #s(literal 6 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a c) #s(literal -9 binary64))) (fma.f64 #s(literal -27 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64))))))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a c) #s(literal -9 binary64)))
#s(literal 1/2 binary64)
(*.f64 (*.f64 a c) #s(literal -9 binary64))
(*.f64 a c)
a
c
#s(literal -9 binary64)
(fma.f64 #s(literal -27 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))))))
#s(literal -27 binary64)
(*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64)))
(pow.f64 a #s(literal 3 binary64))
#s(literal 3 binary64)
(pow.f64 c #s(literal 3 binary64))
(*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64))))))
(*.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))))
(fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64))))
(*.f64 (*.f64 a a) (*.f64 c c))
(*.f64 a a)
(*.f64 c c)
#s(literal 27 binary64)
(*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))
#s(literal -1/4 binary64)
(pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 #s(literal 1/4 binary64) (pow.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64)))
#s(literal 1/4 binary64)
(pow.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64))
(pow.f64 b #s(literal 6 binary64))
#s(literal 6 binary64)
(fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64))))))) (pow.f64 b #s(literal 4 binary64))) (/.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) (*.f64 b b))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a c) #s(literal -9 binary64))))
(+.f64 (/.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64))))))) (pow.f64 b #s(literal 4 binary64))) (/.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) (*.f64 b b)))
(/.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64))))))) (pow.f64 b #s(literal 4 binary64)))
(pow.f64 b #s(literal 4 binary64))
#s(literal 4 binary64)
(/.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) (*.f64 b b))
(*.f64 b b)
(*.f64 a (fma.f64 b (+.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 (*.f64 b b))))
(fma.f64 b (+.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 (*.f64 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 #s(literal -3 binary64) c) a (*.f64 b b))
(*.f64 #s(literal -3 binary64) c)
#s(literal -3 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 (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 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64)))
(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 a #s(literal 3 binary64))
#s(literal 3 binary64)
(/.f64 b (*.f64 a #s(literal 3 binary64)))
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (pow.f64 a #s(literal -1 binary64)) (neg.f64 (/.f64 b a))) #s(literal 3 binary64))
(fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (pow.f64 a #s(literal -1 binary64)) (neg.f64 (/.f64 b a)))
(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
(pow.f64 a #s(literal -1 binary64))
#s(literal -1 binary64)
(neg.f64 (/.f64 b a))
(/.f64 b a)
#s(literal 3 binary64)
(/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 2 binary64)) (pow.f64 (/.f64 b a) #s(literal 2 binary64))) (+.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 b a))) #s(literal 3 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 2 binary64)) (pow.f64 (/.f64 b a) #s(literal 2 binary64))) (+.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 b a)))
(-.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 2 binary64)) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 2 binary64))
(/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a)
(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
#s(literal 2 binary64)
(pow.f64 (/.f64 b a) #s(literal 2 binary64))
(/.f64 b a)
(+.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 b a))
#s(literal 3 binary64)
Outputs
(/.f64 (/.f64 #s(approx (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) (*.f64 b (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a c) #s(literal -9 binary64))) (fma.f64 #s(literal -27 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64))))))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (pow.f64 b #s(literal 6 binary64))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64))))))) (pow.f64 b #s(literal 4 binary64))) (/.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) (*.f64 b b))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a c) #s(literal -9 binary64))))))) (*.f64 a (fma.f64 b (+.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 (*.f64 b b))))) #s(literal 3 binary64))
(/.f64 (/.f64 #s(approx (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) (*.f64 (fma.f64 (*.f64 #s(literal -9/2 binary64) a) c (fma.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) a) a) #s(literal 27/4 binary64)) (*.f64 b b)) (/.f64 (fma.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -27 binary64)) (pow.f64 a #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 9/2 binary64) (*.f64 a c)) (*.f64 (*.f64 (*.f64 (*.f64 c c) a) a) #s(literal 27/4 binary64)))) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) a) a) #s(literal 27/4 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 9/4 binary64) (*.f64 a c)) (fma.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -27 binary64)) (pow.f64 a #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 9/2 binary64) (*.f64 a c)) (*.f64 (*.f64 (*.f64 (*.f64 c c) a) a) #s(literal 27/4 binary64)))))) (pow.f64 b #s(literal 6 binary64))))) b)) (*.f64 (fma.f64 b (+.f64 (+.f64 b b) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) (*.f64 (*.f64 a c) #s(literal -3 binary64))) a)) #s(literal 3 binary64))
(/.f64 #s(approx (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) (*.f64 b (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a c) #s(literal -9 binary64))) (fma.f64 #s(literal -27 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64))))))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (pow.f64 b #s(literal 6 binary64))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64))))))) (pow.f64 b #s(literal 4 binary64))) (/.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) (*.f64 b b))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a c) #s(literal -9 binary64))))))) (*.f64 a (fma.f64 b (+.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 (*.f64 b b)))))
(/.f64 #s(approx (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) (*.f64 (fma.f64 (*.f64 #s(literal -9/2 binary64) a) c (fma.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) a) a) #s(literal 27/4 binary64)) (*.f64 b b)) (/.f64 (fma.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -27 binary64)) (pow.f64 a #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 9/2 binary64) (*.f64 a c)) (*.f64 (*.f64 (*.f64 (*.f64 c c) a) a) #s(literal 27/4 binary64)))) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) a) a) #s(literal 27/4 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 9/4 binary64) (*.f64 a c)) (fma.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -27 binary64)) (pow.f64 a #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 9/2 binary64) (*.f64 a c)) (*.f64 (*.f64 (*.f64 (*.f64 c c) a) a) #s(literal 27/4 binary64)))))) (pow.f64 b #s(literal 6 binary64))))) b)) (*.f64 (fma.f64 b (+.f64 (+.f64 b b) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) (*.f64 (*.f64 a c) #s(literal -3 binary64))) a))
#s(approx (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) (*.f64 b (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a c) #s(literal -9 binary64))) (fma.f64 #s(literal -27 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64))))))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (pow.f64 b #s(literal 6 binary64))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64))))))) (pow.f64 b #s(literal 4 binary64))) (/.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) (*.f64 b b))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a c) #s(literal -9 binary64)))))))
#s(approx (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) (*.f64 (fma.f64 (*.f64 #s(literal -9/2 binary64) a) c (fma.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) a) a) #s(literal 27/4 binary64)) (*.f64 b b)) (/.f64 (fma.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -27 binary64)) (pow.f64 a #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 9/2 binary64) (*.f64 a c)) (*.f64 (*.f64 (*.f64 (*.f64 c c) a) a) #s(literal 27/4 binary64)))) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) a) a) #s(literal 27/4 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 9/4 binary64) (*.f64 a c)) (fma.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -27 binary64)) (pow.f64 a #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 9/2 binary64) (*.f64 a c)) (*.f64 (*.f64 (*.f64 (*.f64 c c) a) a) #s(literal 27/4 binary64)))))) (pow.f64 b #s(literal 6 binary64))))) b))
(*.f64 b (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a c) #s(literal -9 binary64))) (fma.f64 #s(literal -27 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64))))))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (pow.f64 b #s(literal 6 binary64))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64))))))) (pow.f64 b #s(literal 4 binary64))) (/.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) (*.f64 b b))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a c) #s(literal -9 binary64))))))
(*.f64 (fma.f64 (*.f64 #s(literal -9/2 binary64) a) c (fma.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) a) a) #s(literal 27/4 binary64)) (*.f64 b b)) (/.f64 (fma.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -27 binary64)) (pow.f64 a #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 9/2 binary64) (*.f64 a c)) (*.f64 (*.f64 (*.f64 (*.f64 c c) a) a) #s(literal 27/4 binary64)))) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) a) a) #s(literal 27/4 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 9/4 binary64) (*.f64 a c)) (fma.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -27 binary64)) (pow.f64 a #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 9/2 binary64) (*.f64 a c)) (*.f64 (*.f64 (*.f64 (*.f64 c c) a) a) #s(literal 27/4 binary64)))))) (pow.f64 b #s(literal 6 binary64))))) b)
b
(fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a c) #s(literal -9 binary64))) (fma.f64 #s(literal -27 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64))))))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (pow.f64 b #s(literal 6 binary64))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64))))))) (pow.f64 b #s(literal 4 binary64))) (/.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) (*.f64 b b))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a c) #s(literal -9 binary64)))))
(fma.f64 (*.f64 #s(literal -9/2 binary64) a) c (fma.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) a) a) #s(literal 27/4 binary64)) (*.f64 b b)) (/.f64 (fma.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -27 binary64)) (pow.f64 a #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 9/2 binary64) (*.f64 a c)) (*.f64 (*.f64 (*.f64 (*.f64 c c) a) a) #s(literal 27/4 binary64)))) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) a) a) #s(literal 27/4 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 9/4 binary64) (*.f64 a c)) (fma.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -27 binary64)) (pow.f64 a #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 9/2 binary64) (*.f64 a c)) (*.f64 (*.f64 (*.f64 (*.f64 c c) a) a) #s(literal 27/4 binary64)))))) (pow.f64 b #s(literal 6 binary64)))))
#s(literal -1/2 binary64)
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a c) #s(literal -9 binary64))) (fma.f64 #s(literal -27 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64))))))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (pow.f64 b #s(literal 6 binary64)))
(/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -27/2 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal 9/4 binary64) (*.f64 a c)) (*.f64 (*.f64 (*.f64 (*.f64 c c) a) a) #s(literal 27/4 binary64)))) (*.f64 #s(literal -9 binary64) a)) c (*.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) a) a) #s(literal 27/4 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (pow.f64 b #s(literal 6 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a c) #s(literal -9 binary64))) (fma.f64 #s(literal -27 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64))))))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64))))
(fma.f64 (*.f64 (fma.f64 #s(literal -27/2 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal 9/4 binary64) (*.f64 a c)) (*.f64 (*.f64 (*.f64 (*.f64 c c) a) a) #s(literal 27/4 binary64)))) (*.f64 #s(literal -9 binary64) a)) c (*.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) a) a) #s(literal 27/4 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a c) #s(literal -9 binary64)))
(*.f64 #s(literal -9/2 binary64) (*.f64 a c))
#s(literal 1/2 binary64)
(*.f64 (*.f64 a c) #s(literal -9 binary64))
(*.f64 #s(literal -9 binary64) (*.f64 a c))
(*.f64 a c)
a
c
#s(literal -9 binary64)
(fma.f64 #s(literal -27 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))))))
(fma.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -27 binary64)) (pow.f64 a #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 9/2 binary64) (*.f64 a c)) (*.f64 (*.f64 (*.f64 (*.f64 c c) a) a) #s(literal 27/4 binary64))))
#s(literal -27 binary64)
(*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64)))
(*.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))
(pow.f64 a #s(literal 3 binary64))
#s(literal 3 binary64)
(pow.f64 c #s(literal 3 binary64))
(*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64))))))
(*.f64 (*.f64 #s(literal 9/2 binary64) (*.f64 a c)) (*.f64 (*.f64 (*.f64 (*.f64 c c) a) a) #s(literal 27/4 binary64)))
(*.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))))
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) a) a) #s(literal 27/4 binary64)) (*.f64 #s(literal -9 binary64) (*.f64 a c)))
(fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64))))
(*.f64 (*.f64 (*.f64 (*.f64 c c) a) a) #s(literal 27/4 binary64))
(*.f64 (*.f64 a a) (*.f64 c c))
(*.f64 (*.f64 (*.f64 c c) a) a)
(*.f64 a a)
(*.f64 c c)
#s(literal 27 binary64)
(*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal -9 binary64) (*.f64 a c)) #s(literal 2 binary64)) #s(literal -1/4 binary64))
#s(literal -1/4 binary64)
(pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal -9 binary64) (*.f64 a c)) #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 #s(literal 1/4 binary64) (pow.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) a) a) #s(literal 27/4 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(pow.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) a) a) #s(literal 27/4 binary64)) #s(literal 2 binary64))
(pow.f64 b #s(literal 6 binary64))
#s(literal 6 binary64)
(fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64))))))) (pow.f64 b #s(literal 4 binary64))) (/.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) (*.f64 b b))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a c) #s(literal -9 binary64))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) a) a) #s(literal 27/4 binary64)) b) (fma.f64 (*.f64 #s(literal -9/2 binary64) a) c (/.f64 (fma.f64 #s(literal -27/2 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal 9/4 binary64) (*.f64 a c)) (*.f64 (*.f64 (*.f64 (*.f64 c c) a) a) #s(literal 27/4 binary64)))) (pow.f64 b #s(literal 4 binary64)))))
(+.f64 (/.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64))))))) (pow.f64 b #s(literal 4 binary64))) (/.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) (*.f64 b b)))
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) a) a) #s(literal 27/4 binary64)) (*.f64 b b)) (/.f64 (fma.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -27 binary64)) (pow.f64 a #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 9/2 binary64) (*.f64 a c)) (*.f64 (*.f64 (*.f64 (*.f64 c c) a) a) #s(literal 27/4 binary64)))) (pow.f64 b #s(literal 4 binary64))))
(/.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64))))))) (pow.f64 b #s(literal 4 binary64)))
(/.f64 (fma.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -27 binary64)) (pow.f64 a #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 9/2 binary64) (*.f64 a c)) (*.f64 (*.f64 (*.f64 (*.f64 c c) a) a) #s(literal 27/4 binary64)))) (pow.f64 b #s(literal 4 binary64)))
(pow.f64 b #s(literal 4 binary64))
#s(literal 4 binary64)
(/.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) (*.f64 b b))
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) a) a) #s(literal 27/4 binary64)) (*.f64 b b))
(*.f64 b b)
(*.f64 a (fma.f64 b (+.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 (*.f64 b b))))
(*.f64 (fma.f64 b (+.f64 (+.f64 b b) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) (*.f64 (*.f64 a c) #s(literal -3 binary64))) a)
(fma.f64 b (+.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 (*.f64 b b)))
(fma.f64 b (+.f64 (+.f64 b b) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) (*.f64 (*.f64 a c) #s(literal -3 binary64)))
(+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)
(+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b)
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))
(sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))
(fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))
(*.f64 #s(literal -3 binary64) c)
(*.f64 c #s(literal -3 binary64))
#s(literal -3 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 (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 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b) (*.f64 #s(literal 3 binary64) a))
(/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64)))
(/.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a))
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))
(sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))
(fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))
(*.f64 #s(literal -3 binary64) c)
(*.f64 c #s(literal -3 binary64))
#s(literal -3 binary64)
c
a
(*.f64 b b)
b
(*.f64 a #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) a)
#s(literal 3 binary64)
(/.f64 b (*.f64 a #s(literal 3 binary64)))
(/.f64 b (*.f64 #s(literal 3 binary64) a))
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (pow.f64 a #s(literal -1 binary64)) (neg.f64 (/.f64 b a))) #s(literal 3 binary64))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b) (*.f64 #s(literal 3 binary64) a))
(fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (pow.f64 a #s(literal -1 binary64)) (neg.f64 (/.f64 b a)))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b) a)
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))
(sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))
(fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))
(*.f64 #s(literal -3 binary64) c)
(*.f64 c #s(literal -3 binary64))
#s(literal -3 binary64)
c
a
(*.f64 b b)
b
(pow.f64 a #s(literal -1 binary64))
#s(literal -1 binary64)
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(/.f64 b a)
#s(literal 3 binary64)
(/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 2 binary64)) (pow.f64 (/.f64 b a) #s(literal 2 binary64))) (+.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 b a))) #s(literal 3 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b) (*.f64 #s(literal 3 binary64) a)))
(/.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 2 binary64)) (pow.f64 (/.f64 b a) #s(literal 2 binary64))) (+.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 b a)))
(/.f64 (-.f64 (/.f64 (/.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) a) a) (pow.f64 (/.f64 b a) #s(literal 2 binary64))) (+.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) a) (/.f64 b a)))
(-.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 2 binary64)) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))
(-.f64 (/.f64 (/.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) a) a) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 2 binary64))
(/.f64 (/.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) a) a)
(/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a)
(/.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) a)
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))
(sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))
(fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))
(*.f64 #s(literal -3 binary64) c)
(*.f64 c #s(literal -3 binary64))
#s(literal -3 binary64)
c
a
(*.f64 b b)
b
#s(literal 2 binary64)
(pow.f64 (/.f64 b a) #s(literal 2 binary64))
(/.f64 b a)
(+.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 b a))
(+.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) a) (/.f64 b a))
#s(literal 3 binary64)

localize440.0ms (3.6%)

Memory
-12.7MiB live, 503.4MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.33041000976844204
(/.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 2 binary64)) (pow.f64 (/.f64 b a) #s(literal 2 binary64))) (+.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 b a)))
accuracy0.48570253907376815
(pow.f64 (/.f64 b a) #s(literal 2 binary64))
accuracy0.506855029305326
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 2 binary64))
accuracy28.069241152307125
(-.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 2 binary64)) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))
accuracy0.12890625
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))
accuracy0.26953125
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (pow.f64 a #s(literal -1 binary64)) (neg.f64 (/.f64 b a))) #s(literal 3 binary64))
accuracy0.2990796394377056
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))
accuracy28.787013474801483
(fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (pow.f64 a #s(literal -1 binary64)) (neg.f64 (/.f64 b a)))
accuracy0.23828125
(/.f64 b (*.f64 a #s(literal 3 binary64)))
accuracy0.2990796394377056
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))
accuracy0.37337875976844204
(/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64)))
accuracy28.788879357979656
(-.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))))
accuracy0
(/.f64 b c)
accuracy0.2734375
(/.f64 #s(literal -1/2 binary64) (/.f64 b c))
accuracy22.56059143743804
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c)))
accuracy0.9556145741655233
(fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64))))
accuracy1.0418159376678835
(fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a c) #s(literal -9 binary64))) (fma.f64 #s(literal -27 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64))))))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64))))
accuracy1.7405406844297966
(fma.f64 #s(literal -27 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))))))
accuracy5.012386817244386
#s(approx (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) (*.f64 b (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a c) #s(literal -9 binary64))) (fma.f64 #s(literal -27 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64))))))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (pow.f64 b #s(literal 6 binary64))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64))))))) (pow.f64 b #s(literal 4 binary64))) (/.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) (*.f64 b b))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a c) #s(literal -9 binary64)))))))
Samples
135.0ms107×1valid
91.0ms149×0valid
Compiler

Compiled 1 428 to 91 computations (93.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 176.0ms
ival-mult: 48.0ms (27.2% of total)
ival-div: 37.0ms (21% of total)
ival-pow: 28.0ms (15.9% of total)
ival-add: 20.0ms (11.3% of total)
adjust: 15.0ms (8.5% of total)
ival-pow2: 13.0ms (7.4% of total)
ival-sub: 6.0ms (3.4% of total)
ival-sqrt: 5.0ms (2.8% of total)
ival-neg: 3.0ms (1.7% of total)
exact: 2.0ms (1.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series178.0ms (1.4%)

Memory
15.9MiB live, 293.3MiB allocated
Counts
22 → 684
Calls
Call 1
Inputs
#s(alt (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) (patch (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a c) #s(literal -9 binary64))) (fma.f64 #s(literal -27 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64))))))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (pow.f64 b #s(literal 6 binary64))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64))))))) (pow.f64 b #s(literal 4 binary64))) (/.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) (*.f64 b b))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a c) #s(literal -9 binary64))))) (patch (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a c) #s(literal -9 binary64))) (fma.f64 #s(literal -27 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64))))))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (pow.f64 b #s(literal 6 binary64))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64))))))) (pow.f64 b #s(literal 4 binary64))) (/.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) (*.f64 b b))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a c) #s(literal -9 binary64))))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a c) #s(literal -9 binary64))) (patch (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a c) #s(literal -9 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))))) (patch (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #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 (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)))) (patch (-.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)))) #<representation binary64>) () ())
#s(alt (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (patch (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) #<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 #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 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (pow.f64 a #s(literal -1 binary64)) (neg.f64 (/.f64 b a))) (patch (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (pow.f64 a #s(literal -1 binary64)) (neg.f64 (/.f64 b a))) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (pow.f64 a #s(literal -1 binary64)) (neg.f64 (/.f64 b a))) #s(literal 3 binary64)) (patch (/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (pow.f64 a #s(literal -1 binary64)) (neg.f64 (/.f64 b a))) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 2 binary64)) (pow.f64 (/.f64 b a) #s(literal 2 binary64))) (+.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 b a))) #s(literal 3 binary64)) (patch (/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 2 binary64)) (pow.f64 (/.f64 b a) #s(literal 2 binary64))) (+.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 b a))) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 2 binary64)) (pow.f64 (/.f64 b a) #s(literal 2 binary64))) (+.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 b a))) (patch (/.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 2 binary64)) (pow.f64 (/.f64 b a) #s(literal 2 binary64))) (+.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 b a))) #<representation binary64>) () ())
#s(alt (-.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 2 binary64)) (pow.f64 (/.f64 b a) #s(literal 2 binary64))) (patch (-.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 2 binary64)) (pow.f64 (/.f64 b a) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) (*.f64 b (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a c) #s(literal -9 binary64))) (fma.f64 #s(literal -27 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64))))))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (pow.f64 b #s(literal 6 binary64))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64))))))) (pow.f64 b #s(literal 4 binary64))) (/.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) (*.f64 b b))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a c) #s(literal -9 binary64))))))) (patch #s(approx (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) (*.f64 b (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a c) #s(literal -9 binary64))) (fma.f64 #s(literal -27 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64))))))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (pow.f64 b #s(literal 6 binary64))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64))))))) (pow.f64 b #s(literal 4 binary64))) (/.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) (*.f64 b b))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a c) #s(literal -9 binary64))))))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -27 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64))))))) (patch (fma.f64 #s(literal -27 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64))))))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a c) #s(literal -9 binary64))) (fma.f64 #s(literal -27 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64))))))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (patch (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a c) #s(literal -9 binary64))) (fma.f64 #s(literal -27 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64))))))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 b (*.f64 a #s(literal 3 binary64))) (patch (/.f64 b (*.f64 a #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (* (pow c 2) (+ (* -81/4 (pow a 2)) (* 27 (pow a 2)))) (taylor 0 c) (#s(alt (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) (patch (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (+ (* -81/4 (pow a 2)) (* 27 (pow a 2)))) (taylor 0 c) (#s(alt (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) (patch (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (+ (* -81/4 (pow a 2)) (* 27 (pow a 2)))) (taylor 0 c) (#s(alt (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) (patch (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (+ (* -81/4 (pow a 2)) (* 27 (pow a 2)))) (taylor 0 c) (#s(alt (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) (patch (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -9/2 (* a c)) (taylor 0 c) (#s(alt (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a c) #s(literal -9 binary64))) (fma.f64 #s(literal -27 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64))))))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (pow.f64 b #s(literal 6 binary64))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64))))))) (pow.f64 b #s(literal 4 binary64))) (/.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) (*.f64 b b))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a c) #s(literal -9 binary64))))) (patch (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a c) #s(literal -9 binary64))) (fma.f64 #s(literal -27 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64))))))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (pow.f64 b #s(literal 6 binary64))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64))))))) (pow.f64 b #s(literal 4 binary64))) (/.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) (*.f64 b b))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a c) #s(literal -9 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -9/2 a) (* 1/2 (* c (+ (* -81/4 (/ (pow a 2) (pow b 2))) (* 27 (/ (pow a 2) (pow b 2)))))))) (taylor 0 c) (#s(alt (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a c) #s(literal -9 binary64))) (fma.f64 #s(literal -27 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64))))))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (pow.f64 b #s(literal 6 binary64))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64))))))) (pow.f64 b #s(literal 4 binary64))) (/.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) (*.f64 b b))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a c) #s(literal -9 binary64))))) (patch (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a c) #s(literal -9 binary64))) (fma.f64 #s(literal -27 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64))))))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (pow.f64 b #s(literal 6 binary64))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64))))))) (pow.f64 b #s(literal 4 binary64))) (/.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) (*.f64 b b))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a c) #s(literal -9 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -9/2 a) (* c (+ (* 1/2 (* c (+ (* -27 (/ (pow a 3) (pow b 4))) (* 9/2 (/ (* a (+ (* -81/4 (pow a 2)) (* 27 (pow a 2)))) (pow b 4)))))) (* 1/2 (+ (* -81/4 (/ (pow a 2) (pow b 2))) (* 27 (/ (pow a 2) (pow b 2))))))))) (taylor 0 c) (#s(alt (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a c) #s(literal -9 binary64))) (fma.f64 #s(literal -27 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64))))))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (pow.f64 b #s(literal 6 binary64))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64))))))) (pow.f64 b #s(literal 4 binary64))) (/.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) (*.f64 b b))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a c) #s(literal -9 binary64))))) (patch (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a c) #s(literal -9 binary64))) (fma.f64 #s(literal -27 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64))))))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (pow.f64 b #s(literal 6 binary64))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64))))))) (pow.f64 b #s(literal 4 binary64))) (/.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) (*.f64 b b))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a c) #s(literal -9 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -9/2 a) (* c (+ (* 1/2 (+ (* -81/4 (/ (pow a 2) (pow b 2))) (* 27 (/ (pow a 2) (pow b 2))))) (* c (+ (* -1/2 (/ (* c (+ (* -9/2 (* a (+ (* -27 (pow a 3)) (* 9/2 (* a (+ (* -81/4 (pow a 2)) (* 27 (pow a 2)))))))) (* 1/4 (pow (+ (* -81/4 (pow a 2)) (* 27 (pow a 2))) 2)))) (pow b 6))) (* 1/2 (+ (* -27 (/ (pow a 3) (pow b 4))) (* 9/2 (/ (* a (+ (* -81/4 (pow a 2)) (* 27 (pow a 2)))) (pow b 4))))))))))) (taylor 0 c) (#s(alt (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a c) #s(literal -9 binary64))) (fma.f64 #s(literal -27 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64))))))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (pow.f64 b #s(literal 6 binary64))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64))))))) (pow.f64 b #s(literal 4 binary64))) (/.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) (*.f64 b b))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a c) #s(literal -9 binary64))))) (patch (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a c) #s(literal -9 binary64))) (fma.f64 #s(literal -27 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64))))))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (pow.f64 b #s(literal 6 binary64))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64))))))) (pow.f64 b #s(literal 4 binary64))) (/.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) (*.f64 b b))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a c) #s(literal -9 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -9/2 (* a c)) (taylor 0 c) (#s(alt (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a c) #s(literal -9 binary64))) (patch (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a c) #s(literal -9 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -9/2 (* a c)) (taylor 0 c) (#s(alt (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a c) #s(literal -9 binary64))) (patch (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a c) #s(literal -9 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -9/2 (* a c)) (taylor 0 c) (#s(alt (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a c) #s(literal -9 binary64))) (patch (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a c) #s(literal -9 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -9/2 (* a c)) (taylor 0 c) (#s(alt (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a c) #s(literal -9 binary64))) (patch (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a c) #s(literal -9 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 9/2 (* a (* (pow c 3) (+ (* -81/4 (pow a 2)) (* 27 (pow a 2)))))) (taylor 0 c) (#s(alt (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))))) (patch (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))))) #<representation binary64>) () ())) ())
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#s(alt (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (/ b (* a (pow (sqrt -3) 2)))) (taylor 0 b) (#s(alt (/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 2 binary64)) (pow.f64 (/.f64 b a) #s(literal 2 binary64))) (+.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 b a))) #s(literal 3 binary64)) (patch (/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 2 binary64)) (pow.f64 (/.f64 b a) #s(literal 2 binary64))) (+.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 b a))) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* -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)))))) (taylor 0 b) (#s(alt (/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 2 binary64)) (pow.f64 (/.f64 b a) #s(literal 2 binary64))) (+.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 b a))) #s(literal 3 binary64)) (patch (/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 2 binary64)) (pow.f64 (/.f64 b a) #s(literal 2 binary64))) (+.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 b a))) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
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#s(alt (+ (* -3 (/ c a)) (/ (pow b 2) (pow a 2))) (taylor 0 b) (#s(alt (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* -3 (/ c a)) (taylor 0 b) (#s(alt (-.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 2 binary64)) (pow.f64 (/.f64 b a) #s(literal 2 binary64))) (patch (-.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 2 binary64)) (pow.f64 (/.f64 b a) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) (taylor inf b) (#s(alt (sqrt.f64 (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 b 2) (taylor inf b) (#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 b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) (taylor inf b) (#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 b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) (taylor inf b) (#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 b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) (taylor inf b) (#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 (* -3/2 (/ c b)) (taylor inf b) (#s(alt (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (pow.f64 a #s(literal -1 binary64)) (neg.f64 (/.f64 b a))) (patch (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (pow.f64 a #s(literal -1 binary64)) (neg.f64 (/.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2)))) b) (taylor inf b) (#s(alt (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (pow.f64 a #s(literal -1 binary64)) (neg.f64 (/.f64 b a))) (patch (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (pow.f64 a #s(literal -1 binary64)) (neg.f64 (/.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2))))) b) (taylor inf b) (#s(alt (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (pow.f64 a #s(literal -1 binary64)) (neg.f64 (/.f64 b a))) (patch (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (pow.f64 a #s(literal -1 binary64)) (neg.f64 (/.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -3/2 c) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) (taylor inf b) (#s(alt (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (pow.f64 a #s(literal -1 binary64)) (neg.f64 (/.f64 b a))) (patch (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (pow.f64 a #s(literal -1 binary64)) (neg.f64 (/.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ c b)) (taylor inf b) (#s(alt (/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (pow.f64 a #s(literal -1 binary64)) (neg.f64 (/.f64 b a))) #s(literal 3 binary64)) (patch (/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (pow.f64 a #s(literal -1 binary64)) (neg.f64 (/.f64 b a))) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) (taylor inf b) (#s(alt (/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (pow.f64 a #s(literal -1 binary64)) (neg.f64 (/.f64 b a))) #s(literal 3 binary64)) (patch (/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (pow.f64 a #s(literal -1 binary64)) (neg.f64 (/.f64 b a))) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b) (taylor inf b) (#s(alt (/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (pow.f64 a #s(literal -1 binary64)) (neg.f64 (/.f64 b a))) #s(literal 3 binary64)) (patch (/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (pow.f64 a #s(literal -1 binary64)) (neg.f64 (/.f64 b a))) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) (taylor inf b) (#s(alt (/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (pow.f64 a #s(literal -1 binary64)) (neg.f64 (/.f64 b a))) #s(literal 3 binary64)) (patch (/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (pow.f64 a #s(literal -1 binary64)) (neg.f64 (/.f64 b a))) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ c b)) (taylor inf b) (#s(alt (/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 2 binary64)) (pow.f64 (/.f64 b a) #s(literal 2 binary64))) (+.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 b a))) #s(literal 3 binary64)) (patch (/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 2 binary64)) (pow.f64 (/.f64 b a) #s(literal 2 binary64))) (+.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 b a))) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) (taylor inf b) (#s(alt (/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 2 binary64)) (pow.f64 (/.f64 b a) #s(literal 2 binary64))) (+.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 b a))) #s(literal 3 binary64)) (patch (/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 2 binary64)) (pow.f64 (/.f64 b a) #s(literal 2 binary64))) (+.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 b a))) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b) (taylor inf b) (#s(alt (/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 2 binary64)) (pow.f64 (/.f64 b a) #s(literal 2 binary64))) (+.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 b a))) #s(literal 3 binary64)) (patch (/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 2 binary64)) (pow.f64 (/.f64 b a) #s(literal 2 binary64))) (+.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 b a))) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -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) (taylor inf b) (#s(alt (/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 2 binary64)) (pow.f64 (/.f64 b a) #s(literal 2 binary64))) (+.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 b a))) #s(literal 3 binary64)) (patch (/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 2 binary64)) (pow.f64 (/.f64 b a) #s(literal 2 binary64))) (+.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 b a))) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (pow b 2) (pow a 2)) (taylor inf b) (#s(alt (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ (* -3 (/ c (* a (pow b 2)))) (/ 1 (pow a 2)))) (taylor inf b) (#s(alt (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ (* -3 (/ c (* a (pow b 2)))) (/ 1 (pow a 2)))) (taylor inf b) (#s(alt (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ (* -3 (/ c (* a (pow b 2)))) (/ 1 (pow a 2)))) (taylor inf b) (#s(alt (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -3/2 (/ c b)) (taylor inf b) (#s(alt (/.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 2 binary64)) (pow.f64 (/.f64 b a) #s(literal 2 binary64))) (+.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 b a))) (patch (/.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 2 binary64)) (pow.f64 (/.f64 b a) #s(literal 2 binary64))) (+.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2)))) b) (taylor inf b) (#s(alt (/.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 2 binary64)) (pow.f64 (/.f64 b a) #s(literal 2 binary64))) (+.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 b a))) (patch (/.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 2 binary64)) (pow.f64 (/.f64 b a) #s(literal 2 binary64))) (+.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2))))) b) (taylor inf b) (#s(alt (/.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 2 binary64)) (pow.f64 (/.f64 b a) #s(literal 2 binary64))) (+.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 b a))) (patch (/.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 2 binary64)) (pow.f64 (/.f64 b a) #s(literal 2 binary64))) (+.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -3/2 c) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 2))) (* 3 (/ (+ (* -27/32 (* (pow a 3) (pow c 4))) (* -27/128 (* (pow a 3) (pow c 4)))) (pow b 6)))))) b) (taylor inf b) (#s(alt (/.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 2 binary64)) (pow.f64 (/.f64 b a) #s(literal 2 binary64))) (+.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 b a))) (patch (/.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 2 binary64)) (pow.f64 (/.f64 b a) #s(literal 2 binary64))) (+.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (* -3 (/ c a)) (taylor inf b) (#s(alt (-.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 2 binary64)) (pow.f64 (/.f64 b a) #s(literal 2 binary64))) (patch (-.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 2 binary64)) (pow.f64 (/.f64 b a) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* (pow a 4) (+ (* 1/4 (pow (+ (* -81/4 (pow c 2)) (* 27 (pow c 2))) 2)) (* 9/2 (* c (+ (* -9/2 (* c (+ (* -81/4 (pow c 2)) (* 27 (pow c 2))))) (* 27 (pow c 3))))))) (taylor -inf a) (#s(alt (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a c) #s(literal -9 binary64))) (fma.f64 #s(literal -27 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64))))))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (patch (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a c) #s(literal -9 binary64))) (fma.f64 #s(literal -27 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64))))))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (+ (* 1/4 (pow (+ (* -81/4 (pow c 2)) (* 27 (pow c 2))) 2)) (* 9/2 (* c (+ (* -9/2 (* c (+ (* -81/4 (pow c 2)) (* 27 (pow c 2))))) (* 27 (pow c 3))))))) (taylor -inf a) (#s(alt (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a c) #s(literal -9 binary64))) (fma.f64 #s(literal -27 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64))))))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (patch (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a c) #s(literal -9 binary64))) (fma.f64 #s(literal -27 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64))))))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ b a)) (taylor -inf a) (#s(alt (/.f64 b (*.f64 a #s(literal 3 binary64))) (patch (/.f64 b (*.f64 a #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ b a)) (taylor -inf a) (#s(alt (/.f64 b (*.f64 a #s(literal 3 binary64))) (patch (/.f64 b (*.f64 a #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ b a)) (taylor -inf a) (#s(alt (/.f64 b (*.f64 a #s(literal 3 binary64))) (patch (/.f64 b (*.f64 a #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ b a)) (taylor -inf a) (#s(alt (/.f64 b (*.f64 a #s(literal 3 binary64))) (patch (/.f64 b (*.f64 a #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (pow b 2) (pow a 2)) (taylor -inf a) (#s(alt (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (pow b 2) (pow a 2)) (taylor -inf a) (#s(alt (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (pow b 2) (pow a 2)) (taylor -inf a) (#s(alt (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (pow b 2) (pow a 2)) (taylor -inf a) (#s(alt (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
22.0ms
a
@-inf
((+ (* (* (* a a) (* c c)) 27) (* -1/4 (pow (* (* a c) -9) 2))) (+ (* -1/2 (/ (+ (* (* 1/2 (* (* a c) -9)) (+ (* -27 (* (pow a 3) (pow c 3))) (* -1/2 (* (* (* a c) -9) (+ (* (* (* a a) (* c c)) 27) (* -1/4 (pow (* (* a c) -9) 2))))))) (* 1/4 (pow (+ (* (* (* a a) (* c c)) 27) (* -1/4 (pow (* (* a c) -9) 2))) 2))) (pow b 6))) (+ (* 1/2 (+ (/ (+ (* -27 (* (pow a 3) (pow c 3))) (* -1/2 (* (* (* a c) -9) (+ (* (* (* a a) (* c c)) 27) (* -1/4 (pow (* (* a c) -9) 2)))))) (pow b 4)) (/ (+ (* (* (* a a) (* c c)) 27) (* -1/4 (pow (* (* a c) -9) 2))) (* b b)))) (* 1/2 (* (* a c) -9)))) (* 1/2 (* (* a c) -9)) (* -1/2 (* (* (* a c) -9) (+ (* (* (* a a) (* c c)) 27) (* -1/4 (pow (* (* a c) -9) 2))))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ -1/2 (/ b c)) (/ b c) (- (/ (sqrt (+ (* (* -3 c) a) (* b b))) (* a 3)) (/ b (* a 3))) (/ (sqrt (+ (* (* -3 c) a) (* b b))) (* a 3)) (sqrt (+ (* (* -3 c) a) (* b b))) (+ (* (* -3 c) a) (* b b)) (+ (* (sqrt (+ (* (* -3 c) a) (* b b))) (pow a -1)) (neg (/ b a))) (/ (+ (* (sqrt (+ (* (* -3 c) a) (* b b))) (pow a -1)) (neg (/ b a))) 3) (/ (/ (- (pow (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) 2) (pow (/ b a) 2)) (+ (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) (/ b a))) 3) (pow (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) 2) (/ (- (pow (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) 2) (pow (/ b a) 2)) (+ (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) (/ b a))) (- (pow (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) 2) (pow (/ b a) 2)) (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) (+ (* -27 (* (pow a 3) (pow c 3))) (* -1/2 (* (* (* a c) -9) (+ (* (* (* a a) (* c c)) 27) (* -1/4 (pow (* (* a c) -9) 2)))))) (+ (* (* 1/2 (* (* a c) -9)) (+ (* -27 (* (pow a 3) (pow c 3))) (* -1/2 (* (* (* a c) -9) (+ (* (* (* a a) (* c c)) 27) (* -1/4 (pow (* (* a c) -9) 2))))))) (* 1/4 (pow (+ (* (* (* a a) (* c c)) 27) (* -1/4 (pow (* (* a c) -9) 2))) 2))) (/ b (* a 3)) (pow (/ b a) 2))
16.0ms
c
@0
((+ (* (* (* a a) (* c c)) 27) (* -1/4 (pow (* (* a c) -9) 2))) (+ (* -1/2 (/ (+ (* (* 1/2 (* (* a c) -9)) (+ (* -27 (* (pow a 3) (pow c 3))) (* -1/2 (* (* (* a c) -9) (+ (* (* (* a a) (* c c)) 27) (* -1/4 (pow (* (* a c) -9) 2))))))) (* 1/4 (pow (+ (* (* (* a a) (* c c)) 27) (* -1/4 (pow (* (* a c) -9) 2))) 2))) (pow b 6))) (+ (* 1/2 (+ (/ (+ (* -27 (* (pow a 3) (pow c 3))) (* -1/2 (* (* (* a c) -9) (+ (* (* (* a a) (* c c)) 27) (* -1/4 (pow (* (* a c) -9) 2)))))) (pow b 4)) (/ (+ (* (* (* a a) (* c c)) 27) (* -1/4 (pow (* (* a c) -9) 2))) (* b b)))) (* 1/2 (* (* a c) -9)))) (* 1/2 (* (* a c) -9)) (* -1/2 (* (* (* a c) -9) (+ (* (* (* a a) (* c c)) 27) (* -1/4 (pow (* (* a c) -9) 2))))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ -1/2 (/ b c)) (/ b c) (- (/ (sqrt (+ (* (* -3 c) a) (* b b))) (* a 3)) (/ b (* a 3))) (/ (sqrt (+ (* (* -3 c) a) (* b b))) (* a 3)) (sqrt (+ (* (* -3 c) a) (* b b))) (+ (* (* -3 c) a) (* b b)) (+ (* (sqrt (+ (* (* -3 c) a) (* b b))) (pow a -1)) (neg (/ b a))) (/ (+ (* (sqrt (+ (* (* -3 c) a) (* b b))) (pow a -1)) (neg (/ b a))) 3) (/ (/ (- (pow (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) 2) (pow (/ b a) 2)) (+ (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) (/ b a))) 3) (pow (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) 2) (/ (- (pow (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) 2) (pow (/ b a) 2)) (+ (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) (/ b a))) (- (pow (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) 2) (pow (/ b a) 2)) (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) (+ (* -27 (* (pow a 3) (pow c 3))) (* -1/2 (* (* (* a c) -9) (+ (* (* (* a a) (* c c)) 27) (* -1/4 (pow (* (* a c) -9) 2)))))) (+ (* (* 1/2 (* (* a c) -9)) (+ (* -27 (* (pow a 3) (pow c 3))) (* -1/2 (* (* (* a c) -9) (+ (* (* (* a a) (* c c)) 27) (* -1/4 (pow (* (* a c) -9) 2))))))) (* 1/4 (pow (+ (* (* (* a a) (* c c)) 27) (* -1/4 (pow (* (* a c) -9) 2))) 2))) (/ b (* a 3)) (pow (/ b a) 2))
15.0ms
c
@-inf
((+ (* (* (* a a) (* c c)) 27) (* -1/4 (pow (* (* a c) -9) 2))) (+ (* -1/2 (/ (+ (* (* 1/2 (* (* a c) -9)) (+ (* -27 (* (pow a 3) (pow c 3))) (* -1/2 (* (* (* a c) -9) (+ (* (* (* a a) (* c c)) 27) (* -1/4 (pow (* (* a c) -9) 2))))))) (* 1/4 (pow (+ (* (* (* a a) (* c c)) 27) (* -1/4 (pow (* (* a c) -9) 2))) 2))) (pow b 6))) (+ (* 1/2 (+ (/ (+ (* -27 (* (pow a 3) (pow c 3))) (* -1/2 (* (* (* a c) -9) (+ (* (* (* a a) (* c c)) 27) (* -1/4 (pow (* (* a c) -9) 2)))))) (pow b 4)) (/ (+ (* (* (* a a) (* c c)) 27) (* -1/4 (pow (* (* a c) -9) 2))) (* b b)))) (* 1/2 (* (* a c) -9)))) (* 1/2 (* (* a c) -9)) (* -1/2 (* (* (* a c) -9) (+ (* (* (* a a) (* c c)) 27) (* -1/4 (pow (* (* a c) -9) 2))))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ -1/2 (/ b c)) (/ b c) (- (/ (sqrt (+ (* (* -3 c) a) (* b b))) (* a 3)) (/ b (* a 3))) (/ (sqrt (+ (* (* -3 c) a) (* b b))) (* a 3)) (sqrt (+ (* (* -3 c) a) (* b b))) (+ (* (* -3 c) a) (* b b)) (+ (* (sqrt (+ (* (* -3 c) a) (* b b))) (pow a -1)) (neg (/ b a))) (/ (+ (* (sqrt (+ (* (* -3 c) a) (* b b))) (pow a -1)) (neg (/ b a))) 3) (/ (/ (- (pow (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) 2) (pow (/ b a) 2)) (+ (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) (/ b a))) 3) (pow (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) 2) (/ (- (pow (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) 2) (pow (/ b a) 2)) (+ (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) (/ b a))) (- (pow (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) 2) (pow (/ b a) 2)) (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) (+ (* -27 (* (pow a 3) (pow c 3))) (* -1/2 (* (* (* a c) -9) (+ (* (* (* a a) (* c c)) 27) (* -1/4 (pow (* (* a c) -9) 2)))))) (+ (* (* 1/2 (* (* a c) -9)) (+ (* -27 (* (pow a 3) (pow c 3))) (* -1/2 (* (* (* a c) -9) (+ (* (* (* a a) (* c c)) 27) (* -1/4 (pow (* (* a c) -9) 2))))))) (* 1/4 (pow (+ (* (* (* a a) (* c c)) 27) (* -1/4 (pow (* (* a c) -9) 2))) 2))) (/ b (* a 3)) (pow (/ b a) 2))
14.0ms
a
@0
((+ (* (* (* a a) (* c c)) 27) (* -1/4 (pow (* (* a c) -9) 2))) (+ (* -1/2 (/ (+ (* (* 1/2 (* (* a c) -9)) (+ (* -27 (* (pow a 3) (pow c 3))) (* -1/2 (* (* (* a c) -9) (+ (* (* (* a a) (* c c)) 27) (* -1/4 (pow (* (* a c) -9) 2))))))) (* 1/4 (pow (+ (* (* (* a a) (* c c)) 27) (* -1/4 (pow (* (* a c) -9) 2))) 2))) (pow b 6))) (+ (* 1/2 (+ (/ (+ (* -27 (* (pow a 3) (pow c 3))) (* -1/2 (* (* (* a c) -9) (+ (* (* (* a a) (* c c)) 27) (* -1/4 (pow (* (* a c) -9) 2)))))) (pow b 4)) (/ (+ (* (* (* a a) (* c c)) 27) (* -1/4 (pow (* (* a c) -9) 2))) (* b b)))) (* 1/2 (* (* a c) -9)))) (* 1/2 (* (* a c) -9)) (* -1/2 (* (* (* a c) -9) (+ (* (* (* a a) (* c c)) 27) (* -1/4 (pow (* (* a c) -9) 2))))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ -1/2 (/ b c)) (/ b c) (- (/ (sqrt (+ (* (* -3 c) a) (* b b))) (* a 3)) (/ b (* a 3))) (/ (sqrt (+ (* (* -3 c) a) (* b b))) (* a 3)) (sqrt (+ (* (* -3 c) a) (* b b))) (+ (* (* -3 c) a) (* b b)) (+ (* (sqrt (+ (* (* -3 c) a) (* b b))) (pow a -1)) (neg (/ b a))) (/ (+ (* (sqrt (+ (* (* -3 c) a) (* b b))) (pow a -1)) (neg (/ b a))) 3) (/ (/ (- (pow (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) 2) (pow (/ b a) 2)) (+ (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) (/ b a))) 3) (pow (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) 2) (/ (- (pow (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) 2) (pow (/ b a) 2)) (+ (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) (/ b a))) (- (pow (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) 2) (pow (/ b a) 2)) (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) (+ (* -27 (* (pow a 3) (pow c 3))) (* -1/2 (* (* (* a c) -9) (+ (* (* (* a a) (* c c)) 27) (* -1/4 (pow (* (* a c) -9) 2)))))) (+ (* (* 1/2 (* (* a c) -9)) (+ (* -27 (* (pow a 3) (pow c 3))) (* -1/2 (* (* (* a c) -9) (+ (* (* (* a a) (* c c)) 27) (* -1/4 (pow (* (* a c) -9) 2))))))) (* 1/4 (pow (+ (* (* (* a a) (* c c)) 27) (* -1/4 (pow (* (* a c) -9) 2))) 2))) (/ b (* a 3)) (pow (/ b a) 2))
12.0ms
b
@0
((+ (* (* (* a a) (* c c)) 27) (* -1/4 (pow (* (* a c) -9) 2))) (+ (* -1/2 (/ (+ (* (* 1/2 (* (* a c) -9)) (+ (* -27 (* (pow a 3) (pow c 3))) (* -1/2 (* (* (* a c) -9) (+ (* (* (* a a) (* c c)) 27) (* -1/4 (pow (* (* a c) -9) 2))))))) (* 1/4 (pow (+ (* (* (* a a) (* c c)) 27) (* -1/4 (pow (* (* a c) -9) 2))) 2))) (pow b 6))) (+ (* 1/2 (+ (/ (+ (* -27 (* (pow a 3) (pow c 3))) (* -1/2 (* (* (* a c) -9) (+ (* (* (* a a) (* c c)) 27) (* -1/4 (pow (* (* a c) -9) 2)))))) (pow b 4)) (/ (+ (* (* (* a a) (* c c)) 27) (* -1/4 (pow (* (* a c) -9) 2))) (* b b)))) (* 1/2 (* (* a c) -9)))) (* 1/2 (* (* a c) -9)) (* -1/2 (* (* (* a c) -9) (+ (* (* (* a a) (* c c)) 27) (* -1/4 (pow (* (* a c) -9) 2))))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ -1/2 (/ b c)) (/ b c) (- (/ (sqrt (+ (* (* -3 c) a) (* b b))) (* a 3)) (/ b (* a 3))) (/ (sqrt (+ (* (* -3 c) a) (* b b))) (* a 3)) (sqrt (+ (* (* -3 c) a) (* b b))) (+ (* (* -3 c) a) (* b b)) (+ (* (sqrt (+ (* (* -3 c) a) (* b b))) (pow a -1)) (neg (/ b a))) (/ (+ (* (sqrt (+ (* (* -3 c) a) (* b b))) (pow a -1)) (neg (/ b a))) 3) (/ (/ (- (pow (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) 2) (pow (/ b a) 2)) (+ (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) (/ b a))) 3) (pow (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) 2) (/ (- (pow (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) 2) (pow (/ b a) 2)) (+ (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) (/ b a))) (- (pow (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) 2) (pow (/ b a) 2)) (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) (+ (* -27 (* (pow a 3) (pow c 3))) (* -1/2 (* (* (* a c) -9) (+ (* (* (* a a) (* c c)) 27) (* -1/4 (pow (* (* a c) -9) 2)))))) (+ (* (* 1/2 (* (* a c) -9)) (+ (* -27 (* (pow a 3) (pow c 3))) (* -1/2 (* (* (* a c) -9) (+ (* (* (* a a) (* c c)) 27) (* -1/4 (pow (* (* a c) -9) 2))))))) (* 1/4 (pow (+ (* (* (* a a) (* c c)) 27) (* -1/4 (pow (* (* a c) -9) 2))) 2))) (/ b (* a 3)) (pow (/ b a) 2))

simplify249.0ms (2%)

Memory
1.0MiB live, 355.3MiB allocated
Algorithm
egg-herbie
Rules
7 666×lower-*.f64
7 666×lower-*.f32
6 110×lower-fma.f64
6 110×lower-fma.f32
3 290×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0166216801
1571016479
0816715790
Stop Event
iter limit
node limit
Counts
684 → 681
Calls
Call 1
Inputs
(* (pow c 2) (+ (* -81/4 (pow a 2)) (* 27 (pow a 2))))
(* (pow c 2) (+ (* -81/4 (pow a 2)) (* 27 (pow a 2))))
(* (pow c 2) (+ (* -81/4 (pow a 2)) (* 27 (pow a 2))))
(* (pow c 2) (+ (* -81/4 (pow a 2)) (* 27 (pow a 2))))
(* -9/2 (* a c))
(* c (+ (* -9/2 a) (* 1/2 (* c (+ (* -81/4 (/ (pow a 2) (pow b 2))) (* 27 (/ (pow a 2) (pow b 2))))))))
(* c (+ (* -9/2 a) (* c (+ (* 1/2 (* c (+ (* -27 (/ (pow a 3) (pow b 4))) (* 9/2 (/ (* a (+ (* -81/4 (pow a 2)) (* 27 (pow a 2)))) (pow b 4)))))) (* 1/2 (+ (* -81/4 (/ (pow a 2) (pow b 2))) (* 27 (/ (pow a 2) (pow b 2)))))))))
(* c (+ (* -9/2 a) (* c (+ (* 1/2 (+ (* -81/4 (/ (pow a 2) (pow b 2))) (* 27 (/ (pow a 2) (pow b 2))))) (* c (+ (* -1/2 (/ (* c (+ (* -9/2 (* a (+ (* -27 (pow a 3)) (* 9/2 (* a (+ (* -81/4 (pow a 2)) (* 27 (pow a 2)))))))) (* 1/4 (pow (+ (* -81/4 (pow a 2)) (* 27 (pow a 2))) 2)))) (pow b 6))) (* 1/2 (+ (* -27 (/ (pow a 3) (pow b 4))) (* 9/2 (/ (* a (+ (* -81/4 (pow a 2)) (* 27 (pow a 2)))) (pow b 4)))))))))))
(* -9/2 (* a c))
(* -9/2 (* a c))
(* -9/2 (* a c))
(* -9/2 (* a c))
(* 9/2 (* a (* (pow c 3) (+ (* -81/4 (pow a 2)) (* 27 (pow a 2))))))
(* 9/2 (* a (* (pow c 3) (+ (* -81/4 (pow a 2)) (* 27 (pow a 2))))))
(* 9/2 (* a (* (pow c 3) (+ (* -81/4 (pow a 2)) (* 27 (pow a 2))))))
(* 9/2 (* a (* (pow c 3) (+ (* -81/4 (pow a 2)) (* 27 (pow a 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))))
(* -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))))
(* 1/3 (/ b a))
(+ (* -1/2 (/ c b)) (* 1/3 (/ b a)))
(+ (* 1/3 (/ b a)) (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))))
(+ (* 1/3 (/ b a)) (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 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))))))))
(pow b 2)
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(* -3/2 (/ c b))
(* c (- (* -9/8 (/ (* a c) (pow b 3))) (* 3/2 (/ 1 b))))
(* c (- (* c (+ (* -27/16 (/ (* (pow a 2) c) (pow b 5))) (* -9/8 (/ a (pow b 3))))) (* 3/2 (/ 1 b))))
(* c (- (* c (+ (* -9/8 (/ a (pow b 3))) (* c (+ (* -27/16 (/ (pow a 2) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 3/2 (/ 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))
(* 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))))
(/ (pow b 2) (pow a 2))
(+ (* -3 (/ c a)) (/ (pow b 2) (pow a 2)))
(+ (* -3 (/ c a)) (/ (pow b 2) (pow a 2)))
(+ (* -3 (/ c a)) (/ (pow b 2) (pow a 2)))
(* -3/2 (/ c b))
(* c (- (* -9/8 (/ (* a c) (pow b 3))) (* 3/2 (/ 1 b))))
(* c (- (* c (+ (* -27/16 (/ (* (pow a 2) c) (pow b 5))) (* -9/8 (/ a (pow b 3))))) (* 3/2 (/ 1 b))))
(* c (- (* c (+ (* -9/8 (/ a (pow b 3))) (* c (+ (* -27/16 (/ (pow a 2) (pow b 5))) (* 3 (* c (+ (* -27/32 (/ (pow a 3) (pow b 7))) (* -27/128 (/ (pow a 3) (pow b 7)))))))))) (* 3/2 (/ 1 b))))
(* -3 (/ c a))
(* -3 (/ c a))
(* -3 (/ c a))
(* -3 (/ c a))
(* 1/2 (/ (* c (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4))))) (pow b 3)))
(* c (+ (* 1/2 (/ (* c (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6))))) (pow b 3))) (* 1/2 (/ (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (pow b 3)))))
(* c (+ (* 1/2 (/ (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (pow b 3))) (* c (+ (* 1/2 (/ (* c (- (* -27 (pow a 3)) (* 1/2 (/ (* (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6))))) (pow b 6))))) (pow b 3))) (* 1/2 (/ (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6)))) (pow b 3)))))))
(* c (+ (* 1/2 (/ (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (pow b 3))) (* c (+ (* 1/2 (/ (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6)))) (pow b 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/4 (/ (pow (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6)))) 2) (pow b 6))) (* 1/2 (/ (* (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (- (* -27 (pow a 3)) (* 1/2 (/ (* (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6))))) (pow b 6))))) (pow b 6))))) (pow b 3))) (* 1/2 (/ (- (* -27 (pow a 3)) (* 1/2 (/ (* (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6))))) (pow b 6)))) (pow b 3)))))))))
(* (pow c 3) (+ (* -27 (pow a 3)) (* 9/2 (* a (+ (* -81/4 (pow a 2)) (* 27 (pow a 2)))))))
(* (pow c 3) (+ (* -27 (pow a 3)) (* 9/2 (* a (+ (* -81/4 (pow a 2)) (* 27 (pow a 2)))))))
(* (pow c 3) (+ (* -27 (pow a 3)) (* 9/2 (* a (+ (* -81/4 (pow a 2)) (* 27 (pow a 2)))))))
(* (pow c 3) (+ (* -27 (pow a 3)) (* 9/2 (* a (+ (* -81/4 (pow a 2)) (* 27 (pow a 2)))))))
(* (pow c 4) (+ (* -9/2 (* a (+ (* -27 (pow a 3)) (* 9/2 (* a (+ (* -81/4 (pow a 2)) (* 27 (pow a 2)))))))) (* 1/4 (pow (+ (* -81/4 (pow a 2)) (* 27 (pow a 2))) 2))))
(* (pow c 4) (+ (* -9/2 (* a (+ (* -27 (pow a 3)) (* 9/2 (* a (+ (* -81/4 (pow a 2)) (* 27 (pow a 2)))))))) (* 1/4 (pow (+ (* -81/4 (pow a 2)) (* 27 (pow a 2))) 2))))
(* (pow c 4) (+ (* -9/2 (* a (+ (* -27 (pow a 3)) (* 9/2 (* a (+ (* -81/4 (pow a 2)) (* 27 (pow a 2)))))))) (* 1/4 (pow (+ (* -81/4 (pow a 2)) (* 27 (pow a 2))) 2))))
(* (pow c 4) (+ (* -9/2 (* a (+ (* -27 (pow a 3)) (* 9/2 (* a (+ (* -81/4 (pow a 2)) (* 27 (pow a 2)))))))) (* 1/4 (pow (+ (* -81/4 (pow a 2)) (* 27 (pow a 2))) 2))))
(* (pow c 2) (+ (* -81/4 (pow a 2)) (* 27 (pow a 2))))
(* (pow c 2) (+ (* -81/4 (pow a 2)) (* 27 (pow a 2))))
(* (pow c 2) (+ (* -81/4 (pow a 2)) (* 27 (pow a 2))))
(* (pow c 2) (+ (* -81/4 (pow a 2)) (* 27 (pow a 2))))
(* -1/2 (/ (* (pow c 4) (+ (* -9/2 (* a (+ (* -27 (pow a 3)) (* 9/2 (* a (+ (* -81/4 (pow a 2)) (* 27 (pow a 2)))))))) (* 1/4 (pow (+ (* -81/4 (pow a 2)) (* 27 (pow a 2))) 2)))) (pow b 6)))
(* (pow c 4) (+ (* -1/2 (/ (+ (* -9/2 (* a (+ (* -27 (pow a 3)) (* 9/2 (* a (+ (* -81/4 (pow a 2)) (* 27 (pow a 2)))))))) (* 1/4 (pow (+ (* -81/4 (pow a 2)) (* 27 (pow a 2))) 2))) (pow b 6))) (* 1/2 (/ (+ (* -27 (/ (pow a 3) (pow b 4))) (* 9/2 (/ (* a (+ (* -81/4 (pow a 2)) (* 27 (pow a 2)))) (pow b 4)))) c))))
(* (pow c 4) (+ (* -1/2 (/ (+ (* -9/2 (* a (+ (* -27 (pow a 3)) (* 9/2 (* a (+ (* -81/4 (pow a 2)) (* 27 (pow a 2)))))))) (* 1/4 (pow (+ (* -81/4 (pow a 2)) (* 27 (pow a 2))) 2))) (pow b 6))) (+ (* 1/2 (/ (+ (* -27 (/ (pow a 3) (pow b 4))) (* 9/2 (/ (* a (+ (* -81/4 (pow a 2)) (* 27 (pow a 2)))) (pow b 4)))) c)) (* 1/2 (/ (+ (* -81/4 (/ (pow a 2) (pow b 2))) (* 27 (/ (pow a 2) (pow b 2)))) (pow c 2))))))
(* (pow c 4) (+ (* -9/2 (/ a (pow c 3))) (+ (* -1/2 (/ (+ (* -9/2 (* a (+ (* -27 (pow a 3)) (* 9/2 (* a (+ (* -81/4 (pow a 2)) (* 27 (pow a 2)))))))) (* 1/4 (pow (+ (* -81/4 (pow a 2)) (* 27 (pow a 2))) 2))) (pow b 6))) (+ (* 1/2 (/ (+ (* -27 (/ (pow a 3) (pow b 4))) (* 9/2 (/ (* a (+ (* -81/4 (pow a 2)) (* 27 (pow a 2)))) (pow b 4)))) c)) (* 1/2 (/ (+ (* -81/4 (/ (pow a 2) (pow b 2))) (* 27 (/ (pow a 2) (pow b 2)))) (pow c 2)))))))
(* -9/2 (* a c))
(* -9/2 (* a c))
(* -9/2 (* a c))
(* -9/2 (* a c))
(* 9/2 (* a (* (pow c 3) (+ (* -81/4 (pow a 2)) (* 27 (pow a 2))))))
(* 9/2 (* a (* (pow c 3) (+ (* -81/4 (pow a 2)) (* 27 (pow a 2))))))
(* 9/2 (* a (* (pow c 3) (+ (* -81/4 (pow a 2)) (* 27 (pow a 2))))))
(* 9/2 (* a (* (pow c 3) (+ (* -81/4 (pow a 2)) (* 27 (pow a 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)))))))
(* -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 (- (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))) (* 1/3 (/ b (* a c)))))
(* c (- (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) (* 1/3 (/ b (* a c)))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(* 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 (+ (* -1/24 (* (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))))))
(* c (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/48 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 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 (+ (* 1/2 (* (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))))))
(* -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 (/ c a)) (sqrt -3))
(* c (+ (* -1 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -3))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ 1 (* a c))) (sqrt -3))) (/ b (* a c))))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ 1 (* a c))) (sqrt -3)))) (/ b (* a c))))
(* 1/3 (* (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 (* (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))))))
(* -3 (/ c a))
(* c (- (/ (pow b 2) (* (pow a 2) c)) (* 3 (/ 1 a))))
(* c (- (/ (pow b 2) (* (pow a 2) c)) (* 3 (/ 1 a))))
(* c (- (/ (pow b 2) (* (pow a 2) c)) (* 3 (/ 1 a))))
(* -3 (* (sqrt (/ c a)) (/ 1 (sqrt -3))))
(+ (* -3 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* 3 (/ b (* a (pow (sqrt -3) 2)))))
(- (+ (* -3 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* -1 (/ (+ (* -3/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 3 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3))))) (pow c 2)))) (* -3 (/ b (* a (pow (sqrt -3) 2)))))
(- (+ (* -3 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -3/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 3 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3)))) (* 3/2 (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -3) 4))))) (pow c 3)))) (+ (* -3 (/ b (* a (pow (sqrt -3) 2)))) (+ (* -3/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -3) 3)))))))
(* -3 (/ c a))
(* -3 (/ c a))
(* -3 (/ c a))
(* -3 (/ c a))
(* (sqrt (* (pow a 3) (pow c 3))) (sqrt -27))
(* (pow c 2) (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (sqrt -27)))) (* (sqrt (/ (pow a 3) c)) (sqrt -27))) (/ (pow b 3) (pow c 2))))
(* (pow c 2) (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (sqrt -27)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (sqrt -27)))) (* (sqrt (/ (pow a 3) c)) (sqrt -27)))) (/ (pow b 3) (pow c 2))))
(* (pow c 2) (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (sqrt -27)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (sqrt -27)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 7)))) (/ (- (pow b 6) (* 1/4 (/ (* c (pow (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) 2)) (* (pow a 3) (pow (sqrt -27) 2))))) (sqrt -27)))) (* (sqrt (/ (pow a 3) c)) (sqrt -27))))) (/ (pow b 3) (pow c 2))))
(* (pow c 3) (+ (* -27 (pow a 3)) (* 9/2 (* a (+ (* -81/4 (pow a 2)) (* 27 (pow a 2)))))))
(* (pow c 3) (+ (* -27 (pow a 3)) (* 9/2 (* a (+ (* -81/4 (pow a 2)) (* 27 (pow a 2)))))))
(* (pow c 3) (+ (* -27 (pow a 3)) (* 9/2 (* a (+ (* -81/4 (pow a 2)) (* 27 (pow a 2)))))))
(* (pow c 3) (+ (* -27 (pow a 3)) (* 9/2 (* a (+ (* -81/4 (pow a 2)) (* 27 (pow a 2)))))))
(* (pow c 4) (+ (* -9/2 (* a (+ (* -27 (pow a 3)) (* 9/2 (* a (+ (* -81/4 (pow a 2)) (* 27 (pow a 2)))))))) (* 1/4 (pow (+ (* -81/4 (pow a 2)) (* 27 (pow a 2))) 2))))
(* (pow c 4) (+ (* -9/2 (* a (+ (* -27 (pow a 3)) (* 9/2 (* a (+ (* -81/4 (pow a 2)) (* 27 (pow a 2)))))))) (* 1/4 (pow (+ (* -81/4 (pow a 2)) (* 27 (pow a 2))) 2))))
(* (pow c 4) (+ (* -9/2 (* a (+ (* -27 (pow a 3)) (* 9/2 (* a (+ (* -81/4 (pow a 2)) (* 27 (pow a 2)))))))) (* 1/4 (pow (+ (* -81/4 (pow a 2)) (* 27 (pow a 2))) 2))))
(* (pow c 4) (+ (* -9/2 (* a (+ (* -27 (pow a 3)) (* 9/2 (* a (+ (* -81/4 (pow a 2)) (* 27 (pow a 2)))))))) (* 1/4 (pow (+ (* -81/4 (pow a 2)) (* 27 (pow a 2))) 2))))
(* (pow c 2) (+ (* -81/4 (pow a 2)) (* 27 (pow a 2))))
(* (pow c 2) (+ (* -81/4 (pow a 2)) (* 27 (pow a 2))))
(* (pow c 2) (+ (* -81/4 (pow a 2)) (* 27 (pow a 2))))
(* (pow c 2) (+ (* -81/4 (pow a 2)) (* 27 (pow a 2))))
(* -1/2 (/ (* (pow c 4) (+ (* 1/4 (pow (+ (* -81/4 (pow a 2)) (* 27 (pow a 2))) 2)) (* 9/2 (* a (+ (* -9/2 (* a (+ (* -81/4 (pow a 2)) (* 27 (pow a 2))))) (* 27 (pow a 3))))))) (pow b 6)))
(* (pow c 4) (+ (* -1/2 (/ (+ (* -9/2 (/ (* a (+ (* -81/4 (pow a 2)) (* 27 (pow a 2)))) (pow b 4))) (* 27 (/ (pow a 3) (pow b 4)))) c)) (* -1/2 (/ (+ (* 1/4 (pow (+ (* -81/4 (pow a 2)) (* 27 (pow a 2))) 2)) (* 9/2 (* a (+ (* -9/2 (* a (+ (* -81/4 (pow a 2)) (* 27 (pow a 2))))) (* 27 (pow a 3)))))) (pow b 6)))))
(* (pow c 4) (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -81/4 (/ (pow a 2) (pow b 2))) (* 27 (/ (pow a 2) (pow b 2)))) c)) (* 1/2 (+ (* -9/2 (/ (* a (+ (* -81/4 (pow a 2)) (* 27 (pow a 2)))) (pow b 4))) (* 27 (/ (pow a 3) (pow b 4)))))) c)) (* -1/2 (/ (+ (* 1/4 (pow (+ (* -81/4 (pow a 2)) (* 27 (pow a 2))) 2)) (* 9/2 (* a (+ (* -9/2 (* a (+ (* -81/4 (pow a 2)) (* 27 (pow a 2))))) (* 27 (pow a 3)))))) (pow b 6)))))
(* (pow c 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -9/2 (/ a c)) (* 1/2 (+ (* -81/4 (/ (pow a 2) (pow b 2))) (* 27 (/ (pow a 2) (pow b 2)))))) c)) (* 1/2 (+ (* -9/2 (/ (* a (+ (* -81/4 (pow a 2)) (* 27 (pow a 2)))) (pow b 4))) (* 27 (/ (pow a 3) (pow b 4)))))) c)) (* -1/2 (/ (+ (* 1/4 (pow (+ (* -81/4 (pow a 2)) (* 27 (pow a 2))) 2)) (* 9/2 (* a (+ (* -9/2 (* a (+ (* -81/4 (pow a 2)) (* 27 (pow a 2))))) (* 27 (pow a 3)))))) (pow b 6)))))
(* -9/2 (* a c))
(* -9/2 (* a c))
(* -9/2 (* a c))
(* -9/2 (* a c))
(* 9/2 (* a (* (pow c 3) (+ (* -81/4 (pow a 2)) (* 27 (pow a 2))))))
(* 9/2 (* a (* (pow c 3) (+ (* -81/4 (pow a 2)) (* 27 (pow a 2))))))
(* 9/2 (* a (* (pow c 3) (+ (* -81/4 (pow a 2)) (* 27 (pow a 2))))))
(* 9/2 (* a (* (pow c 3) (+ (* -81/4 (pow a 2)) (* 27 (pow a 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)))))))
(* -1/2 (/ 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 (/ (- (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* c (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))))
(* -1 (* c (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/48 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 (* (sqrt (/ 1 (* 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))))))))
(* -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 (/ c a)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))) (/ b (* a c)))))
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (/ b a)) c)) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (/ b a)) c)) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(* (sqrt (/ 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))))
(* -3 (/ c a))
(* -1 (* c (+ (* -1 (/ (pow b 2) (* (pow a 2) c))) (* 3 (/ 1 a)))))
(* -1 (* c (+ (* -1 (/ (pow b 2) (* (pow a 2) c))) (* 3 (/ 1 a)))))
(* -1 (* c (+ (* -1 (/ (pow b 2) (* (pow a 2) c))) (* 3 (/ 1 a)))))
(* 3 (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3))))
(+ (* -3 (/ b (* a (pow (sqrt 3) 2)))) (* 3 (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))))
(+ (* -1 (/ (- (+ (* -3 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) (* -3 (/ (* b c) (* a (pow (sqrt 3) 2))))) c)) (* 3 (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))))
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -3/2 (/ (* (pow b 3) c) (* (pow a 2) (pow (sqrt 3) 4)))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (+ (* -3 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3))))) (+ (* -3 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) c)) (* -3 (/ (* b c) (* a (pow (sqrt 3) 2))))) c)) (* 3 (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))))
(* -3 (/ c a))
(* -3 (/ c a))
(* -3 (/ c a))
(* -3 (/ c a))
(* (sqrt (* (pow a 3) (pow c 3))) (* (sqrt -1) (sqrt 27)))
(* (pow c 2) (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (sqrt -1) (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2))))) (sqrt 27)))) (* (sqrt (/ (pow a 3) c)) (* (sqrt -1) (sqrt 27)))) (/ (pow b 3) (pow c 2))))
(* (pow c 2) (- (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (sqrt -1) (+ (* 3 (* a (pow b 4))) (* 6 (* a (pow b 4))))) (sqrt 27)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (sqrt -1) (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2))))) (sqrt 27)))) (* (sqrt (/ (pow a 3) c)) (* (sqrt -1) (sqrt 27))))) (/ (pow b 3) (pow c 2))))
(* (pow c 2) (- (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (sqrt -1) (- (pow b 6) (* -1/4 (/ (* c (pow (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) 2)) (* (pow a 3) (pow (sqrt 27) 2)))))) (sqrt 27)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (* (sqrt -1) (+ (* 3 (* a (pow b 4))) (* 6 (* a (pow b 4))))) (sqrt 27))))) (pow c 3))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (sqrt -1) (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2))))) (sqrt 27)))) (* (sqrt (/ (pow a 3) c)) (* (sqrt -1) (sqrt 27))))) (/ (pow b 3) (pow c 2))))
(* -1 (* (pow c 3) (+ (* -9/2 (* a (+ (* -81/4 (pow a 2)) (* 27 (pow a 2))))) (* 27 (pow a 3)))))
(* -1 (* (pow c 3) (+ (* -9/2 (* a (+ (* -81/4 (pow a 2)) (* 27 (pow a 2))))) (* 27 (pow a 3)))))
(* -1 (* (pow c 3) (+ (* -9/2 (* a (+ (* -81/4 (pow a 2)) (* 27 (pow a 2))))) (* 27 (pow a 3)))))
(* -1 (* (pow c 3) (+ (* -9/2 (* a (+ (* -81/4 (pow a 2)) (* 27 (pow a 2))))) (* 27 (pow a 3)))))
(* (pow c 4) (+ (* 1/4 (pow (+ (* -81/4 (pow a 2)) (* 27 (pow a 2))) 2)) (* 9/2 (* a (+ (* -9/2 (* a (+ (* -81/4 (pow a 2)) (* 27 (pow a 2))))) (* 27 (pow a 3)))))))
(* (pow c 4) (+ (* 1/4 (pow (+ (* -81/4 (pow a 2)) (* 27 (pow a 2))) 2)) (* 9/2 (* a (+ (* -9/2 (* a (+ (* -81/4 (pow a 2)) (* 27 (pow a 2))))) (* 27 (pow a 3)))))))
(* (pow c 4) (+ (* 1/4 (pow (+ (* -81/4 (pow a 2)) (* 27 (pow a 2))) 2)) (* 9/2 (* a (+ (* -9/2 (* a (+ (* -81/4 (pow a 2)) (* 27 (pow a 2))))) (* 27 (pow a 3)))))))
(* (pow c 4) (+ (* 1/4 (pow (+ (* -81/4 (pow a 2)) (* 27 (pow a 2))) 2)) (* 9/2 (* a (+ (* -9/2 (* a (+ (* -81/4 (pow a 2)) (* 27 (pow a 2))))) (* 27 (pow a 3)))))))
(* -1/2 (/ (+ (* -9/2 (* a (* c (+ (* -27 (* (pow a 3) (pow c 3))) (* 9/2 (* a (* c (+ (* -81/4 (* (pow a 2) (pow c 2))) (* 27 (* (pow a 2) (pow c 2))))))))))) (* 1/4 (pow (+ (* -81/4 (* (pow a 2) (pow c 2))) (* 27 (* (pow a 2) (pow c 2)))) 2))) (pow b 6)))
(/ (+ (* -1/2 (+ (* -9/2 (* a (* c (+ (* -27 (* (pow a 3) (pow c 3))) (* 9/2 (* a (* c (+ (* -81/4 (* (pow a 2) (pow c 2))) (* 27 (* (pow a 2) (pow c 2))))))))))) (* 1/4 (pow (+ (* -81/4 (* (pow a 2) (pow c 2))) (* 27 (* (pow a 2) (pow c 2)))) 2)))) (* 1/2 (* (pow b 2) (+ (* -27 (* (pow a 3) (pow c 3))) (* 9/2 (* a (* c (+ (* -81/4 (* (pow a 2) (pow c 2))) (* 27 (* (pow a 2) (pow c 2))))))))))) (pow b 6))
(/ (+ (* -1/2 (+ (* -9/2 (* a (* c (+ (* -27 (* (pow a 3) (pow c 3))) (* 9/2 (* a (* c (+ (* -81/4 (* (pow a 2) (pow c 2))) (* 27 (* (pow a 2) (pow c 2))))))))))) (* 1/4 (pow (+ (* -81/4 (* (pow a 2) (pow c 2))) (* 27 (* (pow a 2) (pow c 2)))) 2)))) (* (pow b 2) (+ (* 1/2 (* (pow b 2) (+ (* -81/4 (* (pow a 2) (pow c 2))) (* 27 (* (pow a 2) (pow c 2)))))) (* 1/2 (+ (* -27 (* (pow a 3) (pow c 3))) (* 9/2 (* a (* c (+ (* -81/4 (* (pow a 2) (pow c 2))) (* 27 (* (pow a 2) (pow c 2)))))))))))) (pow b 6))
(/ (+ (* -1/2 (+ (* -9/2 (* a (* c (+ (* -27 (* (pow a 3) (pow c 3))) (* 9/2 (* a (* c (+ (* -81/4 (* (pow a 2) (pow c 2))) (* 27 (* (pow a 2) (pow c 2))))))))))) (* 1/4 (pow (+ (* -81/4 (* (pow a 2) (pow c 2))) (* 27 (* (pow a 2) (pow c 2)))) 2)))) (* (pow b 2) (+ (* 1/2 (+ (* -27 (* (pow a 3) (pow c 3))) (* 9/2 (* a (* c (+ (* -81/4 (* (pow a 2) (pow c 2))) (* 27 (* (pow a 2) (pow c 2))))))))) (* (pow b 2) (+ (* -9/2 (* a (* (pow b 2) c))) (* 1/2 (+ (* -81/4 (* (pow a 2) (pow c 2))) (* 27 (* (pow a 2) (pow c 2)))))))))) (pow b 6))
(* 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 (/ c a)) (sqrt -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))) (* (pow b 2) (+ (* -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 (* (sqrt (/ c a)) (sqrt -3))) (* (pow b 2) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/48 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5)))))))))
(* (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)))))))))
(* -3 (* a c))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(* (sqrt (/ c a)) (sqrt -3))
(+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3)))
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -3)))
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -3)))
(* 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 (* (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))))))
(* -3 (/ c a))
(+ (* -3 (/ c a)) (/ (pow b 2) (pow a 2)))
(+ (* -3 (/ c a)) (/ (pow b 2) (pow a 2)))
(+ (* -3 (/ c a)) (/ (pow b 2) (pow a 2)))
(* -3 (* (sqrt (/ c a)) (/ 1 (sqrt -3))))
(+ (* -3 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* 3 (/ b (* a (pow (sqrt -3) 2)))))
(+ (* -3 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* b (+ (* 3 (* 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))))))) (* 3 (/ 1 (* a (pow (sqrt -3) 2)))))))
(+ (* -3 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* b (+ (* b (+ (* -3 (* 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))))))) (* 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)))))))) (* 3 (/ 1 (* a (pow (sqrt -3) 2)))))))
(* -3 (/ c a))
(* -3 (/ c a))
(* -3 (/ c a))
(* -3 (/ c a))
(* (sqrt (* (pow a 3) (pow c 3))) (sqrt -27))
(+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (pow b 2) (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2))))) (sqrt -27)))) (* (sqrt (* (pow a 3) (pow c 3))) (sqrt -27)))
(+ (* (sqrt (* (pow a 3) (pow c 3))) (sqrt -27)) (* (pow b 2) (+ (* -1 b) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (sqrt -27)))))))
(+ (* (sqrt (* (pow a 3) (pow c 3))) (sqrt -27)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (sqrt -27)))) (* b (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* b (- (+ (* -6 (* a c)) (* -3 (* a c))) (* 1/4 (/ (pow (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) 2) (* (pow a 3) (* (pow c 3) (pow (sqrt -27) 2))))))) (sqrt -27)))) 1)))))
(* 1/3 (/ b a))
(* 1/3 (/ b a))
(* 1/3 (/ b a))
(* 1/3 (/ b a))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(* -9/2 (* a c))
(+ (* -9/2 (* a c)) (* 1/2 (/ (+ (* -81/4 (* (pow a 2) (pow c 2))) (* 27 (* (pow a 2) (pow c 2)))) (pow b 2))))
(+ (* -9/2 (* a c)) (+ (* 1/2 (/ (+ (* -27 (* (pow a 3) (pow c 3))) (* 9/2 (* a (* c (+ (* -81/4 (* (pow a 2) (pow c 2))) (* 27 (* (pow a 2) (pow c 2)))))))) (pow b 4))) (* 1/2 (/ (+ (* -81/4 (* (pow a 2) (pow c 2))) (* 27 (* (pow a 2) (pow c 2)))) (pow b 2)))))
(+ (* -9/2 (* a c)) (+ (* -1/2 (/ (+ (* -9/2 (* a (* c (+ (* -27 (* (pow a 3) (pow c 3))) (* 9/2 (* a (* c (+ (* -81/4 (* (pow a 2) (pow c 2))) (* 27 (* (pow a 2) (pow c 2))))))))))) (* 1/4 (pow (+ (* -81/4 (* (pow a 2) (pow c 2))) (* 27 (* (pow a 2) (pow c 2)))) 2))) (pow b 6))) (+ (* 1/2 (/ (+ (* -27 (* (pow a 3) (pow c 3))) (* 9/2 (* a (* c (+ (* -81/4 (* (pow a 2) (pow c 2))) (* 27 (* (pow a 2) (pow c 2)))))))) (pow b 4))) (* 1/2 (/ (+ (* -81/4 (* (pow a 2) (pow c 2))) (* 27 (* (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)
(* -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)
(* 1/3 (/ b a))
(* b (+ (* -1/2 (/ c (pow b 2))) (* 1/3 (/ 1 a))))
(* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 1/3 (/ 1 a)))))
(* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 1/3 (/ 1 a))))))
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)))))))
(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 (/ c b))
(/ (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -3/2 c) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -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)
(/ (+ (* -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)
(/ (pow b 2) (pow a 2))
(* (pow b 2) (+ (* -3 (/ c (* a (pow b 2)))) (/ 1 (pow a 2))))
(* (pow b 2) (+ (* -3 (/ c (* a (pow b 2)))) (/ 1 (pow a 2))))
(* (pow b 2) (+ (* -3 (/ c (* a (pow b 2)))) (/ 1 (pow a 2))))
(* -3/2 (/ c b))
(/ (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -3/2 c) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 2))) (* 3 (/ (+ (* -27/32 (* (pow a 3) (pow c 4))) (* -27/128 (* (pow a 3) (pow c 4)))) (pow b 6)))))) b)
(* -3 (/ c a))
(* -3 (/ c a))
(* -3 (/ c a))
(* -3 (/ c a))
(* 1/2 (* b (+ (* -6 (* a c)) (* -3 (* a c)))))
(* b (+ (* 1/2 (+ (* -6 (* a c)) (* -3 (* a c)))) (* 1/2 (/ (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) (pow b 2)))))
(* b (+ (* 1/2 (+ (* -6 (* a c)) (* -3 (* a c)))) (+ (* 1/2 (/ (- (* -27 (* (pow a 3) (pow c 3))) (* 1/2 (* (+ (* -6 (* a c)) (* -3 (* a c))) (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2)))))) (pow b 4))) (* 1/2 (/ (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) (pow b 2))))))
(* b (+ (* -1/2 (/ (+ (* 1/4 (pow (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) 2)) (* 1/2 (* (+ (* -6 (* a c)) (* -3 (* a c))) (- (* -27 (* (pow a 3) (pow c 3))) (* 1/2 (* (+ (* -6 (* a c)) (* -3 (* a c))) (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))))))))) (pow b 6))) (+ (* 1/2 (+ (* -6 (* a c)) (* -3 (* a c)))) (+ (* 1/2 (/ (- (* -27 (* (pow a 3) (pow c 3))) (* 1/2 (* (+ (* -6 (* a c)) (* -3 (* a c))) (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2)))))) (pow b 4))) (* 1/2 (/ (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) (pow b 2)))))))
(* 1/3 (/ b a))
(* 1/3 (/ b a))
(* 1/3 (/ b a))
(* 1/3 (/ b a))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(* -9/2 (* a c))
(+ (* -9/2 (* a c)) (* 1/2 (/ (+ (* -81/4 (* (pow a 2) (pow c 2))) (* 27 (* (pow a 2) (pow c 2)))) (pow b 2))))
(+ (* -9/2 (* a c)) (+ (* 1/2 (/ (+ (* -27 (* (pow a 3) (pow c 3))) (* 9/2 (* a (* c (+ (* -81/4 (* (pow a 2) (pow c 2))) (* 27 (* (pow a 2) (pow c 2)))))))) (pow b 4))) (* 1/2 (/ (+ (* -81/4 (* (pow a 2) (pow c 2))) (* 27 (* (pow a 2) (pow c 2)))) (pow b 2)))))
(+ (* -9/2 (* a c)) (+ (* -1/2 (/ (+ (* -9/2 (* a (* c (+ (* -27 (* (pow a 3) (pow c 3))) (* 9/2 (* a (* c (+ (* -81/4 (* (pow a 2) (pow c 2))) (* 27 (* (pow a 2) (pow c 2))))))))))) (* 1/4 (pow (+ (* -81/4 (* (pow a 2) (pow c 2))) (* 27 (* (pow a 2) (pow c 2)))) 2))) (pow b 6))) (+ (* 1/2 (/ (+ (* -27 (* (pow a 3) (pow c 3))) (* 9/2 (* a (* c (+ (* -81/4 (* (pow a 2) (pow c 2))) (* 27 (* (pow a 2) (pow c 2)))))))) (pow b 4))) (* 1/2 (/ (+ (* -81/4 (* (pow a 2) (pow c 2))) (* 27 (* (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)))))))
(* -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)))))))
(* -1/3 (/ b a))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 1/3 (/ 1 a)))))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 1/3 (/ 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))) (* 1/3 (/ 1 a)))))))
(* -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))))))))
(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 a))
(* -1 (* b (+ (* -3/2 (/ c (pow b 2))) (* 2 (/ 1 a)))))
(* -1 (* b (+ (* -3/2 (/ c (pow b 2))) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 4))) (* 2 (/ 1 a))))))
(* -1 (* b (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ c (pow b 2))) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 4))) (* 2 (/ 1 a)))))))
(* -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 (+ (* -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))))))))))
(/ (pow b 2) (pow a 2))
(* (pow b 2) (+ (* -3 (/ c (* a (pow b 2)))) (/ 1 (pow a 2))))
(* (pow b 2) (+ (* -3 (/ c (* a (pow b 2)))) (/ 1 (pow a 2))))
(* (pow b 2) (+ (* -3 (/ c (* a (pow b 2)))) (/ 1 (pow a 2))))
(* -2 (/ b a))
(* -1 (* b (+ (* -3/2 (/ c (pow b 2))) (* 2 (/ 1 a)))))
(* -1 (* b (+ (* -3/2 (/ c (pow b 2))) (+ (* 3 (/ (+ (* -3/4 (* a (pow c 2))) (* 3/8 (* a (pow c 2)))) (pow b 4))) (* 2 (/ 1 a))))))
(* -1 (* b (+ (* -3/2 (/ c (pow b 2))) (+ (* 3 (/ (+ (* -3/4 (* a (* c (+ (* -3/4 (* a (pow c 2))) (* 3/8 (* a (pow c 2))))))) (+ (* -2/9 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* (pow a 2) c))) (* 9/16 (* (pow a 2) (pow c 3))))) (pow b 6))) (+ (* 3 (/ (+ (* -3/4 (* a (pow c 2))) (* 3/8 (* a (pow c 2)))) (pow b 4))) (* 2 (/ 1 a)))))))
(* -3 (/ c a))
(* -3 (/ c a))
(* -3 (/ c a))
(* -3 (/ c a))
(* -2 (pow b 3))
(* -1 (* (pow b 3) (+ 2 (* 1/2 (/ (+ (* -6 (* a c)) (* -3 (* a c))) (pow b 2))))))
(* -1 (* (pow b 3) (+ 2 (+ (* 1/2 (/ (+ (* -6 (* a c)) (* -3 (* a c))) (pow b 2))) (* 1/2 (/ (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) (pow b 4)))))))
(* -1 (* (pow b 3) (+ 2 (+ (* 1/2 (/ (+ (* -6 (* a c)) (* -3 (* a c))) (pow b 2))) (+ (* 1/2 (/ (- (* -27 (* (pow a 3) (pow c 3))) (* 1/2 (* (+ (* -6 (* a c)) (* -3 (* a c))) (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2)))))) (pow b 6))) (* 1/2 (/ (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) (pow b 4))))))))
(* 1/3 (/ b a))
(* 1/3 (/ b a))
(* 1/3 (/ b a))
(* 1/3 (/ b a))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(* (pow a 2) (+ (* -81/4 (pow c 2)) (* 27 (pow c 2))))
(* (pow a 2) (+ (* -81/4 (pow c 2)) (* 27 (pow c 2))))
(* (pow a 2) (+ (* -81/4 (pow c 2)) (* 27 (pow c 2))))
(* (pow a 2) (+ (* -81/4 (pow c 2)) (* 27 (pow c 2))))
(* -9/2 (* a c))
(* a (+ (* -9/2 c) (* 1/2 (* a (+ (* -81/4 (/ (pow c 2) (pow b 2))) (* 27 (/ (pow c 2) (pow b 2))))))))
(* a (+ (* -9/2 c) (* a (+ (* 1/2 (* a (+ (* -27 (/ (pow c 3) (pow b 4))) (* 9/2 (/ (* c (+ (* -81/4 (pow c 2)) (* 27 (pow c 2)))) (pow b 4)))))) (* 1/2 (+ (* -81/4 (/ (pow c 2) (pow b 2))) (* 27 (/ (pow c 2) (pow b 2)))))))))
(* a (+ (* -9/2 c) (* a (+ (* 1/2 (+ (* -81/4 (/ (pow c 2) (pow b 2))) (* 27 (/ (pow c 2) (pow b 2))))) (* a (+ (* -1/2 (/ (* a (+ (* -9/2 (* c (+ (* -27 (pow c 3)) (* 9/2 (* c (+ (* -81/4 (pow c 2)) (* 27 (pow c 2)))))))) (* 1/4 (pow (+ (* -81/4 (pow c 2)) (* 27 (pow c 2))) 2)))) (pow b 6))) (* 1/2 (+ (* -27 (/ (pow c 3) (pow b 4))) (* 9/2 (/ (* c (+ (* -81/4 (pow c 2)) (* 27 (pow c 2)))) (pow b 4)))))))))))
(* -9/2 (* a c))
(* -9/2 (* a c))
(* -9/2 (* a c))
(* -9/2 (* a c))
(* 9/2 (* (pow a 3) (* c (+ (* -81/4 (pow c 2)) (* 27 (pow c 2))))))
(* 9/2 (* (pow a 3) (* c (+ (* -81/4 (pow c 2)) (* 27 (pow c 2))))))
(* 9/2 (* (pow a 3) (* c (+ (* -81/4 (pow c 2)) (* 27 (pow c 2))))))
(* 9/2 (* (pow a 3) (* c (+ (* -81/4 (pow c 2)) (* 27 (pow c 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 (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))
(* 1/3 (/ b a))
(/ (+ (* -1/2 (/ (* a c) b)) (* 1/3 b)) a)
(/ (+ (* 1/3 b) (* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))))) a)
(/ (+ (* 1/3 b) (* a (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))))) a)
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))))))))
(pow b 2)
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(* -3/2 (/ c b))
(+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))
(+ (* -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)))))))
(* -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))))))))))
(/ (pow b 2) (pow a 2))
(/ (+ (* -3 (* a c)) (pow b 2)) (pow a 2))
(/ (+ (* -3 (* a c)) (pow b 2)) (pow a 2))
(/ (+ (* -3 (* a c)) (pow b 2)) (pow a 2))
(* -3/2 (/ c b))
(+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))
(+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* 3 (* a (+ (* -27/32 (/ (pow c 4) (pow b 7))) (* -27/128 (/ (pow c 4) (pow b 7)))))))))))
(* -3 (/ c a))
(* -3 (/ c a))
(* -3 (/ c a))
(* -3 (/ c a))
(* 1/2 (/ (* a (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c)))) (pow b 3)))
(* a (+ (* 1/2 (/ (* a (- (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) 2) (pow b 6))))) (pow b 3))) (* 1/2 (/ (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (pow b 3)))))
(* a (+ (* 1/2 (/ (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (pow b 3))) (* a (+ (* 1/2 (/ (* a (- (* -27 (pow c 3)) (* 1/2 (/ (* (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (- (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) 2) (pow b 6))))) (pow b 6))))) (pow b 3))) (* 1/2 (/ (- (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) 2) (pow b 6)))) (pow b 3)))))))
(* a (+ (* 1/2 (/ (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (pow b 3))) (* a (+ (* 1/2 (/ (- (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) 2) (pow b 6)))) (pow b 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/4 (/ (pow (- (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) 2) (pow b 6)))) 2) (pow b 6))) (* 1/2 (/ (* (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (- (* -27 (pow c 3)) (* 1/2 (/ (* (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (- (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) 2) (pow b 6))))) (pow b 6))))) (pow b 6))))) (pow b 3))) (* 1/2 (/ (- (* -27 (pow c 3)) (* 1/2 (/ (* (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (- (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) 2) (pow b 6))))) (pow b 6)))) (pow b 3)))))))))
(* (pow a 3) (+ (* -27 (pow c 3)) (* 9/2 (* c (+ (* -81/4 (pow c 2)) (* 27 (pow c 2)))))))
(* (pow a 3) (+ (* -27 (pow c 3)) (* 9/2 (* c (+ (* -81/4 (pow c 2)) (* 27 (pow c 2)))))))
(* (pow a 3) (+ (* -27 (pow c 3)) (* 9/2 (* c (+ (* -81/4 (pow c 2)) (* 27 (pow c 2)))))))
(* (pow a 3) (+ (* -27 (pow c 3)) (* 9/2 (* c (+ (* -81/4 (pow c 2)) (* 27 (pow c 2)))))))
(* (pow a 4) (+ (* -9/2 (* c (+ (* -27 (pow c 3)) (* 9/2 (* c (+ (* -81/4 (pow c 2)) (* 27 (pow c 2)))))))) (* 1/4 (pow (+ (* -81/4 (pow c 2)) (* 27 (pow c 2))) 2))))
(* (pow a 4) (+ (* -9/2 (* c (+ (* -27 (pow c 3)) (* 9/2 (* c (+ (* -81/4 (pow c 2)) (* 27 (pow c 2)))))))) (* 1/4 (pow (+ (* -81/4 (pow c 2)) (* 27 (pow c 2))) 2))))
(* (pow a 4) (+ (* -9/2 (* c (+ (* -27 (pow c 3)) (* 9/2 (* c (+ (* -81/4 (pow c 2)) (* 27 (pow c 2)))))))) (* 1/4 (pow (+ (* -81/4 (pow c 2)) (* 27 (pow c 2))) 2))))
(* (pow a 4) (+ (* -9/2 (* c (+ (* -27 (pow c 3)) (* 9/2 (* c (+ (* -81/4 (pow c 2)) (* 27 (pow c 2)))))))) (* 1/4 (pow (+ (* -81/4 (pow c 2)) (* 27 (pow c 2))) 2))))
(* 1/3 (/ b a))
(* 1/3 (/ b a))
(* 1/3 (/ b a))
(* 1/3 (/ b a))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(* (pow a 2) (+ (* -81/4 (pow c 2)) (* 27 (pow c 2))))
(* (pow a 2) (+ (* -81/4 (pow c 2)) (* 27 (pow c 2))))
(* (pow a 2) (+ (* -81/4 (pow c 2)) (* 27 (pow c 2))))
(* (pow a 2) (+ (* -81/4 (pow c 2)) (* 27 (pow c 2))))
(* -1/2 (/ (* (pow a 4) (+ (* -9/2 (* c (+ (* -27 (pow c 3)) (* 9/2 (* c (+ (* -81/4 (pow c 2)) (* 27 (pow c 2)))))))) (* 1/4 (pow (+ (* -81/4 (pow c 2)) (* 27 (pow c 2))) 2)))) (pow b 6)))
(* (pow a 4) (+ (* -1/2 (/ (+ (* -9/2 (* c (+ (* -27 (pow c 3)) (* 9/2 (* c (+ (* -81/4 (pow c 2)) (* 27 (pow c 2)))))))) (* 1/4 (pow (+ (* -81/4 (pow c 2)) (* 27 (pow c 2))) 2))) (pow b 6))) (* 1/2 (/ (+ (* -27 (/ (pow c 3) (pow b 4))) (* 9/2 (/ (* c (+ (* -81/4 (pow c 2)) (* 27 (pow c 2)))) (pow b 4)))) a))))
(* (pow a 4) (+ (* -1/2 (/ (+ (* -9/2 (* c (+ (* -27 (pow c 3)) (* 9/2 (* c (+ (* -81/4 (pow c 2)) (* 27 (pow c 2)))))))) (* 1/4 (pow (+ (* -81/4 (pow c 2)) (* 27 (pow c 2))) 2))) (pow b 6))) (+ (* 1/2 (/ (+ (* -27 (/ (pow c 3) (pow b 4))) (* 9/2 (/ (* c (+ (* -81/4 (pow c 2)) (* 27 (pow c 2)))) (pow b 4)))) a)) (* 1/2 (/ (+ (* -81/4 (/ (pow c 2) (pow b 2))) (* 27 (/ (pow c 2) (pow b 2)))) (pow a 2))))))
(* (pow a 4) (+ (* -9/2 (/ c (pow a 3))) (+ (* -1/2 (/ (+ (* -9/2 (* c (+ (* -27 (pow c 3)) (* 9/2 (* c (+ (* -81/4 (pow c 2)) (* 27 (pow c 2)))))))) (* 1/4 (pow (+ (* -81/4 (pow c 2)) (* 27 (pow c 2))) 2))) (pow b 6))) (+ (* 1/2 (/ (+ (* -27 (/ (pow c 3) (pow b 4))) (* 9/2 (/ (* c (+ (* -81/4 (pow c 2)) (* 27 (pow c 2)))) (pow b 4)))) a)) (* 1/2 (/ (+ (* -81/4 (/ (pow c 2) (pow b 2))) (* 27 (/ (pow c 2) (pow b 2)))) (pow a 2)))))))
(* -9/2 (* a c))
(* -9/2 (* a c))
(* -9/2 (* a c))
(* -9/2 (* a c))
(* 9/2 (* (pow a 3) (* c (+ (* -81/4 (pow c 2)) (* 27 (pow c 2))))))
(* 9/2 (* (pow a 3) (* c (+ (* -81/4 (pow c 2)) (* 27 (pow c 2))))))
(* 9/2 (* (pow a 3) (* c (+ (* -81/4 (pow c 2)) (* 27 (pow c 2))))))
(* 9/2 (* (pow a 3) (* c (+ (* -81/4 (pow c 2)) (* 27 (pow c 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))))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(- (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) (* 1/3 (/ b a)))
(- (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) (* 1/3 (/ b a)))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+ (* -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)))))
(+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/48 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 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 (+ (* 1/2 (* (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))))))
(* -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 (/ c a)) (sqrt -3))
(+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3)))
(- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a))
(- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a))
(* 1/3 (* (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 (* (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)))) (+ (* -1/3 (/ (+ (* -3/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 3 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3))))) (pow a 2))) (/ b (pow (sqrt -3) 2)))) a)
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (+ (* -1/3 (/ (+ (* -3/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 3 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3))))) (pow a 2))) (+ (* -1/3 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (+ (* -3/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 3 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3)))) (* 3/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt -3) 4))))) (pow a 3))) (/ b (pow (sqrt -3) 2))))) a)
(* -3 (/ c a))
(/ (+ (* -3 c) (/ (pow b 2) a)) a)
(/ (+ (* -3 c) (/ (pow b 2) a)) a)
(/ (+ (* -3 c) (/ (pow b 2) a)) a)
(* -3 (* (sqrt (/ c a)) (/ 1 (sqrt -3))))
(/ (+ (* -3 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (* 3 (/ b (pow (sqrt -3) 2)))) a)
(/ (- (+ (* -3 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (* -1 (/ (+ (* -3/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 3 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3))))) (pow a 2)))) (* -3 (/ b (pow (sqrt -3) 2)))) a)
(/ (- (+ (* -3 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (+ (* -3/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 3 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3)))) (* 3/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt -3) 4))))) (pow a 3)))) (+ (* -3 (/ b (pow (sqrt -3) 2))) (+ (* -3/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 3 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3))))))) a)
(* -3 (/ c a))
(* -3 (/ c a))
(* -3 (/ c a))
(* -3 (/ c a))
(* (sqrt (* (pow a 3) (pow c 3))) (sqrt -27))
(* (pow a 2) (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (sqrt -27)))) (* (sqrt (/ (pow c 3) a)) (sqrt -27))) (/ (pow b 3) (pow a 2))))
(* (pow a 2) (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (sqrt -27)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (sqrt -27)))) (* (sqrt (/ (pow c 3) a)) (sqrt -27)))) (/ (pow b 3) (pow a 2))))
(* (pow a 2) (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (sqrt -27)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (sqrt -27)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 7) (pow c 3)))) (/ (- (pow b 6) (* 1/4 (/ (* a (pow (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) 2)) (* (pow c 3) (pow (sqrt -27) 2))))) (sqrt -27)))) (* (sqrt (/ (pow c 3) a)) (sqrt -27))))) (/ (pow b 3) (pow a 2))))
(* (pow a 3) (+ (* -27 (pow c 3)) (* 9/2 (* c (+ (* -81/4 (pow c 2)) (* 27 (pow c 2)))))))
(* (pow a 3) (+ (* -27 (pow c 3)) (* 9/2 (* c (+ (* -81/4 (pow c 2)) (* 27 (pow c 2)))))))
(* (pow a 3) (+ (* -27 (pow c 3)) (* 9/2 (* c (+ (* -81/4 (pow c 2)) (* 27 (pow c 2)))))))
(* (pow a 3) (+ (* -27 (pow c 3)) (* 9/2 (* c (+ (* -81/4 (pow c 2)) (* 27 (pow c 2)))))))
(* (pow a 4) (+ (* -9/2 (* c (+ (* -27 (pow c 3)) (* 9/2 (* c (+ (* -81/4 (pow c 2)) (* 27 (pow c 2)))))))) (* 1/4 (pow (+ (* -81/4 (pow c 2)) (* 27 (pow c 2))) 2))))
(* (pow a 4) (+ (* -9/2 (* c (+ (* -27 (pow c 3)) (* 9/2 (* c (+ (* -81/4 (pow c 2)) (* 27 (pow c 2)))))))) (* 1/4 (pow (+ (* -81/4 (pow c 2)) (* 27 (pow c 2))) 2))))
(* (pow a 4) (+ (* -9/2 (* c (+ (* -27 (pow c 3)) (* 9/2 (* c (+ (* -81/4 (pow c 2)) (* 27 (pow c 2)))))))) (* 1/4 (pow (+ (* -81/4 (pow c 2)) (* 27 (pow c 2))) 2))))
(* (pow a 4) (+ (* -9/2 (* c (+ (* -27 (pow c 3)) (* 9/2 (* c (+ (* -81/4 (pow c 2)) (* 27 (pow c 2)))))))) (* 1/4 (pow (+ (* -81/4 (pow c 2)) (* 27 (pow c 2))) 2))))
(* 1/3 (/ b a))
(* 1/3 (/ b a))
(* 1/3 (/ b a))
(* 1/3 (/ b a))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(* (pow a 2) (+ (* -81/4 (pow c 2)) (* 27 (pow c 2))))
(* (pow a 2) (+ (* -81/4 (pow c 2)) (* 27 (pow c 2))))
(* (pow a 2) (+ (* -81/4 (pow c 2)) (* 27 (pow c 2))))
(* (pow a 2) (+ (* -81/4 (pow c 2)) (* 27 (pow c 2))))
(* -1/2 (/ (* (pow a 4) (+ (* 1/4 (pow (+ (* -81/4 (pow c 2)) (* 27 (pow c 2))) 2)) (* 9/2 (* c (+ (* -9/2 (* c (+ (* -81/4 (pow c 2)) (* 27 (pow c 2))))) (* 27 (pow c 3))))))) (pow b 6)))
(* (pow a 4) (+ (* -1/2 (/ (+ (* -9/2 (/ (* c (+ (* -81/4 (pow c 2)) (* 27 (pow c 2)))) (pow b 4))) (* 27 (/ (pow c 3) (pow b 4)))) a)) (* -1/2 (/ (+ (* 1/4 (pow (+ (* -81/4 (pow c 2)) (* 27 (pow c 2))) 2)) (* 9/2 (* c (+ (* -9/2 (* c (+ (* -81/4 (pow c 2)) (* 27 (pow c 2))))) (* 27 (pow c 3)))))) (pow b 6)))))
(* (pow a 4) (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -81/4 (/ (pow c 2) (pow b 2))) (* 27 (/ (pow c 2) (pow b 2)))) a)) (* 1/2 (+ (* -9/2 (/ (* c (+ (* -81/4 (pow c 2)) (* 27 (pow c 2)))) (pow b 4))) (* 27 (/ (pow c 3) (pow b 4)))))) a)) (* -1/2 (/ (+ (* 1/4 (pow (+ (* -81/4 (pow c 2)) (* 27 (pow c 2))) 2)) (* 9/2 (* c (+ (* -9/2 (* c (+ (* -81/4 (pow c 2)) (* 27 (pow c 2))))) (* 27 (pow c 3)))))) (pow b 6)))))
(* (pow a 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -9/2 (/ c a)) (* 1/2 (+ (* -81/4 (/ (pow c 2) (pow b 2))) (* 27 (/ (pow c 2) (pow b 2)))))) a)) (* 1/2 (+ (* -9/2 (/ (* c (+ (* -81/4 (pow c 2)) (* 27 (pow c 2)))) (pow b 4))) (* 27 (/ (pow c 3) (pow b 4)))))) a)) (* -1/2 (/ (+ (* 1/4 (pow (+ (* -81/4 (pow c 2)) (* 27 (pow c 2))) 2)) (* 9/2 (* c (+ (* -9/2 (* c (+ (* -81/4 (pow c 2)) (* 27 (pow c 2))))) (* 27 (pow c 3)))))) (pow b 6)))))
(* -9/2 (* a c))
(* -9/2 (* a c))
(* -9/2 (* a c))
(* -9/2 (* a c))
(* 9/2 (* (pow a 3) (* c (+ (* -81/4 (pow c 2)) (* 27 (pow c 2))))))
(* 9/2 (* (pow a 3) (* c (+ (* -81/4 (pow c 2)) (* 27 (pow c 2))))))
(* 9/2 (* (pow a 3) (* c (+ (* -81/4 (pow c 2)) (* 27 (pow c 2))))))
(* 9/2 (* (pow a 3) (* c (+ (* -81/4 (pow c 2)) (* 27 (pow c 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)))))
(* -1/3 (* (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)))) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))))
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))))
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (+ (* -1/48 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (* 1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 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))))))))
(* -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 (/ c a)) (* (sqrt -1) (sqrt 3))))
(+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* -1 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (- (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* -1 b)) a)))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))
(+ (* -1 (/ (+ (* 1/6 (* (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)))))
(* (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))) (* 1/3 (/ (+ (* -3/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3 (* (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 (/ (+ (* -1/3 (+ (* -3/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) (* 1/3 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (* (sqrt -1) (+ (* -3/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (* 3/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt 3) 4))))) a))) a))) a))) a))
(* -3 (/ c a))
(* -1 (/ (+ (* -1 (/ (pow b 2) a)) (* 3 c)) a))
(* -1 (/ (+ (* -1 (/ (pow b 2) a)) (* 3 c)) a))
(* -1 (/ (+ (* -1 (/ (pow b 2) a)) (* 3 c)) a))
(* 3 (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3))))
(* -1 (/ (+ (* -3 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (* 3 (/ b (pow (sqrt 3) 2)))) a))
(* -1 (/ (+ (* -3 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (- (+ (* -3/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) (* 3 (/ (* a b) (pow (sqrt 3) 2)))) a))) a))
(* -1 (/ (+ (* -3 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (+ (* -3/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (* 3/2 (/ (* a (pow b 3)) (* c (pow (sqrt 3) 4))))) (+ (* -3/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) a)) (* 3 (/ (* a b) (pow (sqrt 3) 2)))) a))) a))
(* -3 (/ c a))
(* -3 (/ c a))
(* -3 (/ c a))
(* -3 (/ c a))
(* (sqrt (* (pow a 3) (pow c 3))) (* (sqrt -1) (sqrt 27)))
(* (pow a 2) (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (sqrt -1) (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2))))) (sqrt 27)))) (* (sqrt (/ (pow c 3) a)) (* (sqrt -1) (sqrt 27)))) (/ (pow b 3) (pow a 2))))
(* (pow a 2) (- (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (sqrt -1) (+ (* 3 (* (pow b 4) c)) (* 6 (* (pow b 4) c)))) (sqrt 27)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (sqrt -1) (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2))))) (sqrt 27)))) (* (sqrt (/ (pow c 3) a)) (* (sqrt -1) (sqrt 27))))) (/ (pow b 3) (pow a 2))))
(* (pow a 2) (- (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (sqrt -1) (- (pow b 6) (* -1/4 (/ (* a (pow (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) 2)) (* (pow c 3) (pow (sqrt 27) 2)))))) (sqrt 27)))) (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (* (sqrt -1) (+ (* 3 (* (pow b 4) c)) (* 6 (* (pow b 4) c)))) (sqrt 27))))) (pow a 3))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (sqrt -1) (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2))))) (sqrt 27)))) (* (sqrt (/ (pow c 3) a)) (* (sqrt -1) (sqrt 27))))) (/ (pow b 3) (pow a 2))))
(* -1 (* (pow a 3) (+ (* -9/2 (* c (+ (* -81/4 (pow c 2)) (* 27 (pow c 2))))) (* 27 (pow c 3)))))
(* -1 (* (pow a 3) (+ (* -9/2 (* c (+ (* -81/4 (pow c 2)) (* 27 (pow c 2))))) (* 27 (pow c 3)))))
(* -1 (* (pow a 3) (+ (* -9/2 (* c (+ (* -81/4 (pow c 2)) (* 27 (pow c 2))))) (* 27 (pow c 3)))))
(* -1 (* (pow a 3) (+ (* -9/2 (* c (+ (* -81/4 (pow c 2)) (* 27 (pow c 2))))) (* 27 (pow c 3)))))
(* (pow a 4) (+ (* 1/4 (pow (+ (* -81/4 (pow c 2)) (* 27 (pow c 2))) 2)) (* 9/2 (* c (+ (* -9/2 (* c (+ (* -81/4 (pow c 2)) (* 27 (pow c 2))))) (* 27 (pow c 3)))))))
(* (pow a 4) (+ (* 1/4 (pow (+ (* -81/4 (pow c 2)) (* 27 (pow c 2))) 2)) (* 9/2 (* c (+ (* -9/2 (* c (+ (* -81/4 (pow c 2)) (* 27 (pow c 2))))) (* 27 (pow c 3)))))))
(* (pow a 4) (+ (* 1/4 (pow (+ (* -81/4 (pow c 2)) (* 27 (pow c 2))) 2)) (* 9/2 (* c (+ (* -9/2 (* c (+ (* -81/4 (pow c 2)) (* 27 (pow c 2))))) (* 27 (pow c 3)))))))
(* (pow a 4) (+ (* 1/4 (pow (+ (* -81/4 (pow c 2)) (* 27 (pow c 2))) 2)) (* 9/2 (* c (+ (* -9/2 (* c (+ (* -81/4 (pow c 2)) (* 27 (pow c 2))))) (* 27 (pow c 3)))))))
(* 1/3 (/ b a))
(* 1/3 (/ b a))
(* 1/3 (/ b a))
(* 1/3 (/ b a))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
Outputs
(* (pow c 2) (+ (* -81/4 (pow a 2)) (* 27 (pow a 2))))
(*.f64 (*.f64 (*.f64 a a) #s(literal 27/4 binary64)) (*.f64 c c))
(* (pow c 2) (+ (* -81/4 (pow a 2)) (* 27 (pow a 2))))
(*.f64 (*.f64 (*.f64 a a) #s(literal 27/4 binary64)) (*.f64 c c))
(* (pow c 2) (+ (* -81/4 (pow a 2)) (* 27 (pow a 2))))
(*.f64 (*.f64 (*.f64 a a) #s(literal 27/4 binary64)) (*.f64 c c))
(* (pow c 2) (+ (* -81/4 (pow a 2)) (* 27 (pow a 2))))
(*.f64 (*.f64 (*.f64 a a) #s(literal 27/4 binary64)) (*.f64 c c))
(* -9/2 (* a c))
(*.f64 (*.f64 a c) #s(literal -9/2 binary64))
(* c (+ (* -9/2 a) (* 1/2 (* c (+ (* -81/4 (/ (pow a 2) (pow b 2))) (* 27 (/ (pow a 2) (pow b 2))))))))
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) c) (*.f64 (*.f64 (/.f64 a b) (/.f64 a b)) #s(literal 27/4 binary64)) (*.f64 #s(literal -9/2 binary64) a)) c)
(* c (+ (* -9/2 a) (* c (+ (* 1/2 (* c (+ (* -27 (/ (pow a 3) (pow b 4))) (* 9/2 (/ (* a (+ (* -81/4 (pow a 2)) (* 27 (pow a 2)))) (pow b 4)))))) (* 1/2 (+ (* -81/4 (/ (pow a 2) (pow b 2))) (* 27 (/ (pow a 2) (pow b 2)))))))))
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 27/4 binary64)) a) (pow.f64 b #s(literal 4 binary64))) #s(literal 9/2 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -27 binary64)) (pow.f64 b #s(literal 4 binary64)))) c (*.f64 (*.f64 (/.f64 a b) (/.f64 a b)) #s(literal 27/4 binary64)))) c (*.f64 #s(literal -9/2 binary64) a)) c)
(* c (+ (* -9/2 a) (* c (+ (* 1/2 (+ (* -81/4 (/ (pow a 2) (pow b 2))) (* 27 (/ (pow a 2) (pow b 2))))) (* c (+ (* -1/2 (/ (* c (+ (* -9/2 (* a (+ (* -27 (pow a 3)) (* 9/2 (* a (+ (* -81/4 (pow a 2)) (* 27 (pow a 2)))))))) (* 1/4 (pow (+ (* -81/4 (pow a 2)) (* 27 (pow a 2))) 2)))) (pow b 6))) (* 1/2 (+ (* -27 (/ (pow a 3) (pow b 4))) (* 9/2 (/ (* a (+ (* -81/4 (pow a 2)) (* 27 (pow a 2)))) (pow b 4)))))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 27/4 binary64)) a) (pow.f64 b #s(literal 4 binary64))) #s(literal 9/2 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -27 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 a a) #s(literal 27/4 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 27/4 binary64)) a) #s(literal 9/2 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -27 binary64))) a) #s(literal -9/2 binary64))) c)) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (*.f64 (*.f64 (/.f64 a b) (/.f64 a b)) #s(literal 27/4 binary64)) #s(literal 1/2 binary64))) c (*.f64 #s(literal -9/2 binary64) a)) c)
(* -9/2 (* a c))
(*.f64 (*.f64 a c) #s(literal -9/2 binary64))
(* -9/2 (* a c))
(*.f64 (*.f64 a c) #s(literal -9/2 binary64))
(* -9/2 (* a c))
(*.f64 (*.f64 a c) #s(literal -9/2 binary64))
(* -9/2 (* a c))
(*.f64 (*.f64 a c) #s(literal -9/2 binary64))
(* 9/2 (* a (* (pow c 3) (+ (* -81/4 (pow a 2)) (* 27 (pow a 2))))))
(*.f64 (*.f64 #s(literal 9/2 binary64) a) (*.f64 (pow.f64 c #s(literal 3 binary64)) (*.f64 (*.f64 a a) #s(literal 27/4 binary64))))
(* 9/2 (* a (* (pow c 3) (+ (* -81/4 (pow a 2)) (* 27 (pow a 2))))))
(*.f64 (*.f64 #s(literal 9/2 binary64) a) (*.f64 (pow.f64 c #s(literal 3 binary64)) (*.f64 (*.f64 a a) #s(literal 27/4 binary64))))
(* 9/2 (* a (* (pow c 3) (+ (* -81/4 (pow a 2)) (* 27 (pow a 2))))))
(*.f64 (*.f64 #s(literal 9/2 binary64) a) (*.f64 (pow.f64 c #s(literal 3 binary64)) (*.f64 (*.f64 a a) #s(literal 27/4 binary64))))
(* 9/2 (* a (* (pow c 3) (+ (* -81/4 (pow a 2)) (* 27 (pow a 2))))))
(*.f64 (*.f64 #s(literal 9/2 binary64) a) (*.f64 (pow.f64 c #s(literal 3 binary64)) (*.f64 (*.f64 a a) #s(literal 27/4 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))
(*.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)
(* 1/3 (/ b a))
(*.f64 (/.f64 b a) #s(literal 1/3 binary64))
(+ (* -1/2 (/ c b)) (* 1/3 (/ b a)))
(fma.f64 (/.f64 b a) #s(literal 1/3 binary64) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
(+ (* 1/3 (/ b a)) (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))))
(fma.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 (*.f64 (/.f64 b a) #s(literal 1/3 binary64)))
(+ (* 1/3 (/ b a)) (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))))
(fma.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 (*.f64 (/.f64 b a) #s(literal 1/3 binary64)))
b
(+ b (* -3/2 (/ (* a c) b)))
(fma.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64) b)
(+ 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 b)
(+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -9/8 binary64) (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c b)
(pow b 2)
(*.f64 b b)
(+ (* -3 (* a c)) (pow b 2))
(fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))
(+ (* -3 (* a c)) (pow b 2))
(fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))
(+ (* -3 (* a c)) (pow b 2))
(fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))
(* -3/2 (/ c b))
(*.f64 #s(literal -3/2 binary64) (/.f64 c b))
(* c (- (* -9/8 (/ (* a c) (pow b 3))) (* 3/2 (/ 1 b))))
(*.f64 (fma.f64 #s(literal -9/8 binary64) (*.f64 a (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (/.f64 #s(literal -3/2 binary64) b)) c)
(* c (- (* c (+ (* -27/16 (/ (* (pow a 2) c) (pow b 5))) (* -9/8 (/ a (pow b 3))))) (* 3/2 (/ 1 b))))
(*.f64 (fma.f64 (fma.f64 #s(literal -27/16 binary64) (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) (*.f64 #s(literal -9/8 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64))))) c (/.f64 #s(literal -3/2 binary64) b)) c)
(* c (- (* c (+ (* -9/8 (/ a (pow b 3))) (* c (+ (* -27/16 (/ (pow a 2) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 3/2 (/ 1 b))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) c) b) (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 #s(literal -9/8 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64))))) c (/.f64 #s(literal -3/2 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)
(* 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)
(* 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))) (* c (+ (* -27/32 (/ (pow a 3) (pow b 7))) (* -27/128 (/ (pow a 3) (pow b 7))))))))) (* 1/2 (/ 1 b))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 7 binary64))) #s(literal -135/128 binary64)) c (/.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)
(/ (pow b 2) (pow a 2))
(*.f64 (/.f64 b a) (/.f64 b a))
(+ (* -3 (/ c a)) (/ (pow b 2) (pow a 2)))
(fma.f64 (/.f64 c a) #s(literal -3 binary64) (*.f64 (/.f64 b a) (/.f64 b a)))
(+ (* -3 (/ c a)) (/ (pow b 2) (pow a 2)))
(fma.f64 (/.f64 c a) #s(literal -3 binary64) (*.f64 (/.f64 b a) (/.f64 b a)))
(+ (* -3 (/ c a)) (/ (pow b 2) (pow a 2)))
(fma.f64 (/.f64 c a) #s(literal -3 binary64) (*.f64 (/.f64 b a) (/.f64 b a)))
(* -3/2 (/ c b))
(*.f64 #s(literal -3/2 binary64) (/.f64 c b))
(* c (- (* -9/8 (/ (* a c) (pow b 3))) (* 3/2 (/ 1 b))))
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(* (pow a 4) (+ (* 1/4 (pow (+ (* -81/4 (pow c 2)) (* 27 (pow c 2))) 2)) (* 9/2 (* c (+ (* -9/2 (* c (+ (* -81/4 (pow c 2)) (* 27 (pow c 2))))) (* 27 (pow c 3)))))))
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(* (pow a 4) (+ (* 1/4 (pow (+ (* -81/4 (pow c 2)) (* 27 (pow c 2))) 2)) (* 9/2 (* c (+ (* -9/2 (* c (+ (* -81/4 (pow c 2)) (* 27 (pow c 2))))) (* 27 (pow c 3)))))))
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 c c) #s(literal 27/4 binary64)) c) #s(literal -9/2 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal 27 binary64))) c) #s(literal 9/2 binary64) (*.f64 (pow.f64 (*.f64 (*.f64 c c) #s(literal 27/4 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (+ (* 1/4 (pow (+ (* -81/4 (pow c 2)) (* 27 (pow c 2))) 2)) (* 9/2 (* c (+ (* -9/2 (* c (+ (* -81/4 (pow c 2)) (* 27 (pow c 2))))) (* 27 (pow c 3)))))))
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 c c) #s(literal 27/4 binary64)) c) #s(literal -9/2 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal 27 binary64))) c) #s(literal 9/2 binary64) (*.f64 (pow.f64 (*.f64 (*.f64 c c) #s(literal 27/4 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (pow.f64 a #s(literal 4 binary64)))
(* 1/3 (/ b a))
(*.f64 (/.f64 b a) #s(literal 1/3 binary64))
(* 1/3 (/ b a))
(*.f64 (/.f64 b a) #s(literal 1/3 binary64))
(* 1/3 (/ b a))
(*.f64 (/.f64 b a) #s(literal 1/3 binary64))
(* 1/3 (/ b a))
(*.f64 (/.f64 b a) #s(literal 1/3 binary64))
(/ (pow b 2) (pow a 2))
(*.f64 (/.f64 b a) (/.f64 b a))
(/ (pow b 2) (pow a 2))
(*.f64 (/.f64 b a) (/.f64 b a))
(/ (pow b 2) (pow a 2))
(*.f64 (/.f64 b a) (/.f64 b a))
(/ (pow b 2) (pow a 2))
(*.f64 (/.f64 b a) (/.f64 b a))

rewrite283.0ms (2.3%)

Memory
-1.1MiB live, 240.4MiB allocated
Rules
4 978×lower-*.f32
4 948×lower-*.f64
4 684×lower-fma.f32
4 670×lower-fma.f64
2 386×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
082682
0139616
1603532
25357532
08527530
Stop Event
iter limit
node limit
iter limit
Counts
22 → 920
Calls
Call 1
Inputs
(fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a c) #s(literal -9 binary64))) (fma.f64 #s(literal -27 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64))))))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (pow.f64 b #s(literal 6 binary64))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64))))))) (pow.f64 b #s(literal 4 binary64))) (/.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) (*.f64 b b))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a c) #s(literal -9 binary64)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a c) #s(literal -9 binary64)))
(*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 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))
(/.f64 b c)
(-.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 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64)))
(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))
(fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (pow.f64 a #s(literal -1 binary64)) (neg.f64 (/.f64 b a)))
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (pow.f64 a #s(literal -1 binary64)) (neg.f64 (/.f64 b a))) #s(literal 3 binary64))
(/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 2 binary64)) (pow.f64 (/.f64 b a) #s(literal 2 binary64))) (+.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 b a))) #s(literal 3 binary64))
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 2 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 2 binary64)) (pow.f64 (/.f64 b a) #s(literal 2 binary64))) (+.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 b a)))
(-.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 2 binary64)) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))
#s(approx (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) (*.f64 b (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a c) #s(literal -9 binary64))) (fma.f64 #s(literal -27 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64))))))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (pow.f64 b #s(literal 6 binary64))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64))))))) (pow.f64 b #s(literal 4 binary64))) (/.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) (*.f64 b b))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a c) #s(literal -9 binary64)))))))
(fma.f64 #s(literal -27 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a c) #s(literal -9 binary64))) (fma.f64 #s(literal -27 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64))))))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64))))
(/.f64 b (*.f64 a #s(literal 3 binary64)))
(pow.f64 (/.f64 b a) #s(literal 2 binary64))
Outputs
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eval697.0ms (5.6%)

Memory
18.4MiB live, 1 033.1MiB allocated
Compiler

Compiled 215 882 to 8 932 computations (95.9% saved)

prune229.0ms (1.9%)

Memory
-36.0MiB live, 344.7MiB allocated
Pruning

76 alts after pruning (73 fresh and 3 done)

PrunedKeptTotal
New2 539282 567
Fresh524597
Picked415
Done022
Total2 595762 671
Accuracy
99.9%
Counts
2 671 → 76
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.7%
(fma.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b))) a) #s(literal 1/3 binary64) (/.f64 (/.f64 b a) #s(literal -3 binary64)))
55.3%
(fma.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b))) (/.f64 (/.f64 b a) #s(literal -3 binary64)))
55.6%
(fma.f64 (neg.f64 b) (/.f64 #s(literal 1/3 binary64) a) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b)))))
54.7%
(/.f64 (fma.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b))) a) #s(literal 3 binary64) (*.f64 (*.f64 #s(literal -3 binary64) a) b)) (*.f64 #s(literal 9 binary64) (*.f64 a a)))
55.2%
(/.f64 (/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b))) a) (/.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b))) a) (neg.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)))) (+.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 b a))) #s(literal 3 binary64))
55.5%
(/.f64 (/.f64 (fma.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b))) a (*.f64 a (neg.f64 b))) (*.f64 a a)) #s(literal 3 binary64))
55.7%
(/.f64 (/.f64 (fma.f64 (sqrt.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -3 binary64) c) a) #s(literal 2 binary64)))) (sqrt.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) #s(literal -1 binary64))) (neg.f64 b)) a) #s(literal 3 binary64))
55.7%
(/.f64 (/.f64 (fma.f64 (neg.f64 b) a (*.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b))) a)) (*.f64 a a)) #s(literal 3 binary64))
56.6%
(/.f64 (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b)) (*.f64 a (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) #s(literal 3 binary64))
56.2%
(/.f64 (/.f64 (-.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (fma.f64 b (+.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 (*.f64 b b)))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b (+.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 (*.f64 b b))))) a) #s(literal 3 binary64))
54.5%
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b))) (/.f64 a b)) (*.f64 a #s(literal 1 binary64))) (*.f64 a (/.f64 a b))) #s(literal 3 binary64))
54.4%
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b))) a) (*.f64 b a)) (*.f64 a a)) #s(literal 3 binary64))
54.1%
(/.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))
55.3%
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))) b) a) #s(literal 3 binary64))
99.1%
(/.f64 (/.f64 #s(approx (- (pow (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) 2) (pow (/ b a) 2)) (*.f64 (/.f64 c a) #s(literal -3 binary64))) (+.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 b a))) #s(literal 3 binary64))
82.6%
(/.f64 (/.f64 #s(approx (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) (*.f64 b #s(approx (+ (* -1/2 (/ (+ (* (* 1/2 (* (* a c) -9)) (+ (* -27 (* (pow a 3) (pow c 3))) (* -1/2 (* (* (* a c) -9) (+ (* (* (* a a) (* c c)) 27) (* -1/4 (pow (* (* a c) -9) 2))))))) (* 1/4 (pow (+ (* (* (* a a) (* c c)) 27) (* -1/4 (pow (* (* a c) -9) 2))) 2))) (pow b 6))) (+ (* 1/2 (+ (/ (+ (* -27 (* (pow a 3) (pow c 3))) (* -1/2 (* (* (* a c) -9) (+ (* (* (* a a) (* c c)) 27) (* -1/4 (pow (* (* a c) -9) 2)))))) (pow b 4)) (/ (+ (* (* (* a a) (* c c)) 27) (* -1/4 (pow (* (* a c) -9) 2))) (* b b)))) (* 1/2 (* (* a c) -9)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) c) (*.f64 (*.f64 (/.f64 a b) (/.f64 a b)) #s(literal 27/4 binary64)) (*.f64 #s(literal -9/2 binary64) a)) c)))) (*.f64 a (fma.f64 b (+.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 (*.f64 b b))))) #s(literal 3 binary64))
64.6%
(/.f64 (/.f64 #s(approx (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) a) #s(literal 3 binary64))
55.3%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) #s(literal 3 binary64))
56.6%
(/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b)) (*.f64 (*.f64 #s(literal 3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
54.6%
(/.f64 (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 b a)) #s(literal 3 binary64))
54.7%
(/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b))) a) (*.f64 #s(literal 3 binary64) a)) (*.f64 #s(literal 3 binary64) b)) (*.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) a)))
54.0%
(/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b))) a) #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) (/.f64 b a))) #s(literal 9 binary64))
54.7%
(/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b))) (/.f64 (*.f64 #s(literal 3 binary64) a) b)) (*.f64 (*.f64 #s(literal 3 binary64) a) #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal 3 binary64) a) (/.f64 (*.f64 #s(literal 3 binary64) a) b)))
54.4%
(/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b))) #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) a) (/.f64 b a))) (*.f64 (*.f64 #s(literal 3 binary64) a) #s(literal 3 binary64)))
55.3%
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64)))
55.2%
(/.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b))) b) (*.f64 #s(literal 3 binary64) a))
54.3%
(/.f64 (-.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 3 binary64) (/.f64 a (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b))))) (/.f64 b a))) (*.f64 (*.f64 #s(literal 3 binary64) (/.f64 a (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b))))) #s(literal 3 binary64)))
55.3%
(/.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))
55.3%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 c #s(literal 3 binary64)) a)))) (*.f64 #s(literal 3 binary64) a))
55.2%
(/.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))
56.6%
(/.f64 (*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1/3 binary64) a)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))
55.2%
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal 1/3 binary64)) a)
54.9%
(/.f64 (*.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (*.f64 (/.f64 b a) b)) a))) b) #s(literal 1/3 binary64)) a)
81.6%
(/.f64 #s(approx (/ (- (pow (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) 2) (pow (/ b a) 2)) (+ (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) (/ b a))) (/.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 a (*.f64 c c)) b) (*.f64 #s(literal -3/2 binary64) c)) b)) #s(literal 3 binary64))
64.7%
(/.f64 #s(approx (/ (- (pow (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) 2) (pow (/ b a) 2)) (+ (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) (/ b a))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64))
90.8%
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (/.f64 (fma.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 a a)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 405/64 binary64))) (pow.f64 b #s(literal 6 binary64))) (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 (*.f64 a c) c) b) (*.f64 #s(literal -3/2 binary64) c)))) b)) #s(literal 3 binary64))
81.5%
(/.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))
81.7%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 #s(literal -9/8 binary64) (*.f64 (/.f64 (*.f64 a a) b) (/.f64 (*.f64 c c) b)) (*.f64 (*.f64 #s(literal -3/2 binary64) a) c)) b)) (*.f64 #s(literal 3 binary64) a))
64.7%
(/.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))
64.7%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)))) (*.f64 #s(literal 3 binary64) a))
55.3%
(/.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)))
54.7%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 a a)) (fma.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b))) a) #s(literal 3 binary64) (*.f64 (*.f64 #s(literal -3 binary64) a) b))))
55.3%
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal 1/3 binary64))))
55.3%
(/.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)))
55.3%
(/.f64 #s(literal 1/3 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
54.3%
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (/.f64 (/.f64 b a) #s(literal 3 binary64)))
53.9%
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (*.f64 (/.f64 b a) #s(literal 1/3 binary64)))
53.4%
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (*.f64 (/.f64 #s(literal 1/3 binary64) a) b))
54.7%
(-.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b))) a) #s(literal 1/3 binary64)) (/.f64 b (*.f64 a #s(literal 3 binary64))))
54.5%
(-.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b)))) (/.f64 b (*.f64 a #s(literal 3 binary64))))
55.3%
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 1/3 binary64))
55.2%
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))
54.9%
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (*.f64 (/.f64 b a) b)) a))) b))
55.2%
(*.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)))
55.3%
(*.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) a)))
81.9%
#s(approx (/ (/ (- (pow (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) 2) (pow (/ b a) 2)) (+ (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) (/ b a))) 3) (/.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (/.f64 (*.f64 a (*.f64 c c)) b) (*.f64 #s(literal -1/2 binary64) c)) b))
11.6%
#s(approx (/ (/ (- (pow (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) 2) (pow (/ b a) 2)) (+ (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) (/ b a))) 3) (*.f64 (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)))
64.6%
#s(approx (/ (/ (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) (* a (+ (* b (+ (sqrt (+ (* (* -3 c) a) (* b b))) b)) (+ (* (* -3 c) a) (* b b))))) 3) (*.f64 (/.f64 #s(literal 1/18 binary64) a) (/.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) b)))
81.9%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (/.f64 (/.f64 (*.f64 c c) (*.f64 b b)) b) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
91.1%
#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(approx (+ (* (* (* (* b c) c) b) -3/8) (* (* (pow c 3) a) -9/16)) (*.f64 (*.f64 c c) (fma.f64 #s(literal -9/16 binary64) (*.f64 a c) (*.f64 #s(literal -3/8 binary64) (*.f64 b b))))) b) b (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
88.3%
#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 -9/16 binary64) a) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal 3 binary64)))) (*.f64 c c))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
81.8%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 c (/.f64 #s(literal -1/2 binary64) b) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) a) c) c) (pow.f64 b #s(literal -3 binary64)))))
91.0%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 c (/.f64 #s(literal -1/2 binary64) b) (*.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 (pow.f64 b #s(literal -7 binary64)) (fma.f64 (*.f64 (*.f64 a a) #s(literal -135/128 binary64)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal -3/8 binary64) (pow.f64 (*.f64 c b) #s(literal 2 binary64)) (*.f64 #s(literal -9/16 binary64) (*.f64 a (pow.f64 c #s(literal 3 binary64))))) b) b)))) a)))
91.0%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (-.f64 (pow.f64 (*.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 (pow.f64 b #s(literal -7 binary64)) (fma.f64 (*.f64 (*.f64 a a) #s(literal -135/128 binary64)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal -3/8 binary64) (pow.f64 (*.f64 c b) #s(literal 2 binary64)) (*.f64 #s(literal -9/16 binary64) (*.f64 a (pow.f64 c #s(literal 3 binary64))))) b) b)))) a) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 c b)) #s(literal 2 binary64))) (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 (pow.f64 b #s(literal -7 binary64)) (fma.f64 (*.f64 (*.f64 a a) #s(literal -135/128 binary64)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal -3/8 binary64) (pow.f64 (*.f64 c b) #s(literal 2 binary64)) (*.f64 #s(literal -9/16 binary64) (*.f64 a (pow.f64 c #s(literal 3 binary64))))) b) b)))) a (*.f64 #s(literal 1/2 binary64) (/.f64 c b)))))
64.7%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c)))
64.7%
#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))))
88.1%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 #s(approx (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) (/.f64 (fma.f64 (*.f64 (*.f64 b b) a) #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 a a) c) #s(literal -9/16 binary64))) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 #s(literal -1/2 binary64) b)) c))
64.7%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
87.9%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a c) c) a) (pow.f64 b #s(literal 4 binary64))) #s(literal 9/16 binary64) (fma.f64 (*.f64 #s(literal 3/8 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1/2 binary64))) (neg.f64 b))) c))
87.7%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) (*.f64 (*.f64 a c) #s(literal -3/8 binary64))) b) b (*.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -9/16 binary64)) c)) (pow.f64 b #s(literal 5 binary64)))) c))
81.6%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (*.f64 #s(literal 3/8 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1/2 binary64)) (neg.f64 b))) c))
87.6%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (*.f64 c c) (*.f64 (*.f64 b b) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) (*.f64 #s(literal -3/8 binary64) (*.f64 a c))))) (pow.f64 b #s(literal 5 binary64)))) c))
64.7%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c))
90.7%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #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))) a) (* (/ c b) -1/2)) (*.f64 (pow.f64 c #s(literal 4 binary64)) (fma.f64 #s(literal -135/128 binary64) (/.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 7 binary64))) (-.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal 3 binary64))) (/.f64 a (*.f64 c c)) (*.f64 (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 a a) c))) (/.f64 #s(literal 1/2 binary64) (*.f64 b (pow.f64 c #s(literal 3 binary64)))))))))
81.7%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (+ (* (* -3/8 a) (* c (/ c (pow b 3)))) (* (/ c b) -1/2)) (/.f64 (fma.f64 (*.f64 (*.f64 b c) b) #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 a c) c) #s(literal -3/8 binary64))) (pow.f64 b #s(literal 3 binary64)))))
87.9%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) c) (*.f64 (neg.f64 (pow.f64 c #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) #s(literal 9/16 binary64) (/.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 b c))) (neg.f64 c))))))
Compiler

Compiled 7 120 to 2 194 computations (69.2% saved)

regimes244.0ms (2%)

Memory
16.9MiB live, 403.9MiB allocated
Counts
167 → 1
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c))
#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(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64))
(/.f64 #s(approx (/ (- (pow (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) 2) (pow (/ b a) 2)) (+ (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) (/ b a))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 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))))
#s(approx (/ (/ (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) (* a (+ (* b (+ (sqrt (+ (* (* -3 c) a) (* b b))) b)) (+ (* (* -3 c) a) (* b b))))) 3) (*.f64 (/.f64 #s(literal 1/18 binary64) a) (/.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) b)))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)))) (*.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))
#s(approx (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (*.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 (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) 2) (pow (/ b a) 2)) (+ (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) (/ b a))) 3) (*.f64 (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)))
(/.f64 (/.f64 #s(approx (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) a) #s(literal 3 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (*.f64 #s(literal 3/8 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1/2 binary64)) (neg.f64 b))) c))
(*.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 (-.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 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal 1/3 binary64)) a)
(/.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b))) b) (*.f64 #s(literal 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 (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 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 c #s(literal 3 binary64)) a)))) (*.f64 #s(literal 3 binary64) a))
(*.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)))
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))) b) a) #s(literal 3 binary64))
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64))
(*.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (/.f64 #s(literal 1 binary64) (*.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) (*.f64 #s(literal -1/2 binary64) c)) b))
#s(approx (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (/.f64 (fma.f64 (/.f64 (*.f64 a #s(literal -3/8 binary64)) b) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -1/2 binary64) c)) b))
#s(approx (/ (/ (- (pow (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) 2) (pow (/ b a) 2)) (+ (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) (/ b a))) 3) (/.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (/.f64 (*.f64 a (*.f64 c c)) b) (*.f64 #s(literal -1/2 binary64) c)) b))
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (*.f64 (/.f64 b a) b)) a))) b))
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.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) c (*.f64 (/.f64 b a) b)) a))) b) #s(literal 1/3 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))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (/.f64 (/.f64 (*.f64 c c) (*.f64 b b)) b) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
(-.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b)))) (/.f64 b (*.f64 a #s(literal 3 binary64))))
(-.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b))) a) #s(literal 1/3 binary64)) (/.f64 b (*.f64 a #s(literal 3 binary64))))
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (*.f64 (/.f64 #s(literal 1/3 binary64) a) b))
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (*.f64 (/.f64 b a) #s(literal 1/3 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))))
(fma.f64 (neg.f64 b) (/.f64 #s(literal 1/3 binary64) a) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b 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 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 b a)) #s(literal 3 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) #s(literal 3 binary64))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 (*.f64 (/.f64 b a) b) a (*.f64 (*.f64 #s(literal -3 binary64) c) a))))) (*.f64 #s(literal 3 binary64) a))
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#s(approx (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 a b)) #s(literal -1/6 binary64) (/.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))
(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.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) c) a (*.f64 b b))) b) (exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 2 binary64)))))) #s(literal 3 binary64))
#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))
(/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/4 binary64)) (pow.f64 b #s(literal 3/2 binary64))) (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/4 binary64)) (pow.f64 b #s(literal 3/2 binary64)))) (*.f64 a (fma.f64 b (+.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 (*.f64 b b))))) #s(literal 3 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #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))) a) (* (/ c b) -1/2)) (/.f64 (fma.f64 #s(literal -135/128 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 6 binary64))) (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 (*.f64 a a) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) b) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -1/2 binary64) c)))) b)))
#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 c (/.f64 #s(literal -1/2 binary64) b))))
#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)) #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))) a) (* (/ c b) -1/2)) (*.f64 (pow.f64 c #s(literal 4 binary64)) (-.f64 (/.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 b #s(literal 7 binary64))) (/.f64 (fma.f64 #s(literal 9/16 binary64) (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) (neg.f64 (/.f64 (-.f64 (*.f64 #s(literal -3/8 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (*.f64 b c))) c))) c)))))
#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))
#s(approx (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (/.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 (*.f64 a #s(literal -3/8 binary64)) b) (/.f64 (*.f64 c c) b) (fma.f64 (/.f64 #s(literal -1/6 binary64) a) (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 405/64 binary64))) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal -1/2 binary64) c)))) b))
(/.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))
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (/.f64 (fma.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 a a)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 405/64 binary64))) (pow.f64 b #s(literal 6 binary64))) (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 (*.f64 a c) c) b) (*.f64 #s(literal -3/2 binary64) c)))) b)) #s(literal 3 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #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))) a) (* (/ c b) -1/2)) (*.f64 (pow.f64 c #s(literal 4 binary64)) (fma.f64 #s(literal -135/128 binary64) (/.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 7 binary64))) (-.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal 3 binary64))) (/.f64 a (*.f64 c c)) (*.f64 (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 a a) c))) (/.f64 #s(literal 1/2 binary64) (*.f64 b (pow.f64 c #s(literal 3 binary64)))))))))
(/.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 (/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) a) (fma.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) a) (fma.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 2 binary64))) (+.f64 (/.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) a) (fma.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (/.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) a) (fma.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) #s(literal 3 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (-.f64 (pow.f64 (*.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 (pow.f64 b #s(literal -7 binary64)) (fma.f64 (*.f64 (*.f64 a a) #s(literal -135/128 binary64)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal -3/8 binary64) (pow.f64 (*.f64 c b) #s(literal 2 binary64)) (*.f64 #s(literal -9/16 binary64) (*.f64 a (pow.f64 c #s(literal 3 binary64))))) b) b)))) a) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 c b)) #s(literal 2 binary64))) (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 (pow.f64 b #s(literal -7 binary64)) (fma.f64 (*.f64 (*.f64 a a) #s(literal -135/128 binary64)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal -3/8 binary64) (pow.f64 (*.f64 c b) #s(literal 2 binary64)) (*.f64 #s(literal -9/16 binary64) (*.f64 a (pow.f64 c #s(literal 3 binary64))))) b) b)))) a (*.f64 #s(literal 1/2 binary64) (/.f64 c b)))))
(/.f64 (/.f64 #s(approx (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) (*.f64 b (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a c) #s(literal -9 binary64))) (fma.f64 #s(literal -27 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64))))))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (pow.f64 b #s(literal 6 binary64))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64))))))) (pow.f64 b #s(literal 4 binary64))) (/.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) (*.f64 b b))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a c) #s(literal -9 binary64))))))) (*.f64 a (fma.f64 b (+.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 (*.f64 b b))))) #s(literal 3 binary64))
(/.f64 (/.f64 #s(approx (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) (*.f64 a (fma.f64 a (fma.f64 a (fma.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) c) #s(literal -9 binary64)) (/.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 c #s(literal 3 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) c) #s(literal -9 binary64)) (/.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) c) #s(literal -9 binary64)) #s(literal 2 binary64)) (pow.f64 b #s(literal 6 binary64))))) (pow.f64 b #s(literal 6 binary64)))))) (pow.f64 b #s(literal 6 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) c) #s(literal -9 binary64)) #s(literal 2 binary64)) (pow.f64 b #s(literal 6 binary64))))) #s(literal 2 binary64)) (pow.f64 b #s(literal 6 binary64))))) (pow.f64 b #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 c #s(literal 3 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) c) #s(literal -9 binary64)) (/.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) c) #s(literal -9 binary64)) #s(literal 2 binary64)) (pow.f64 b #s(literal 6 binary64))))) (pow.f64 b #s(literal 6 binary64)))))) (pow.f64 b #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) c) #s(literal -9 binary64)) #s(literal 2 binary64)) (pow.f64 b #s(literal 6 binary64))))) (pow.f64 b #s(literal 3 binary64))))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) c) #s(literal -9 binary64))) (pow.f64 b #s(literal 3 binary64)))))) (*.f64 a (fma.f64 b (+.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 (*.f64 b b))))) #s(literal 3 binary64))
Outputs
(/.f64 (/.f64 #s(approx (- (pow (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) 2) (pow (/ b a) 2)) (*.f64 (/.f64 c a) #s(literal -3 binary64))) (+.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 b a))) #s(literal 3 binary64))
Calls

5 calls:

52.0ms
a
49.0ms
c
46.0ms
b
43.0ms
(*.f64 #s(literal 3 binary64) a)
42.0ms
(/.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
99.1%1a
99.1%1b
99.1%1c
99.1%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))
99.1%1(*.f64 #s(literal 3 binary64) a)
Compiler

Compiled 23 to 26 computations (-13% saved)

regimes106.0ms (0.9%)

Memory
-12.1MiB live, 194.2MiB allocated
Counts
70 → 2
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c))
#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(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64))
(/.f64 #s(approx (/ (- (pow (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) 2) (pow (/ b a) 2)) (+ (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) (/ b a))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 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))))
#s(approx (/ (/ (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) (* a (+ (* b (+ (sqrt (+ (* (* -3 c) a) (* b b))) b)) (+ (* (* -3 c) a) (* b b))))) 3) (*.f64 (/.f64 #s(literal 1/18 binary64) a) (/.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) b)))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)))) (*.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))
#s(approx (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (*.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 (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) 2) (pow (/ b a) 2)) (+ (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) (/ b a))) 3) (*.f64 (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)))
(/.f64 (/.f64 #s(approx (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) a) #s(literal 3 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (*.f64 #s(literal 3/8 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1/2 binary64)) (neg.f64 b))) c))
(*.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 (-.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 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal 1/3 binary64)) a)
(/.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b))) b) (*.f64 #s(literal 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 (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 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 c #s(literal 3 binary64)) a)))) (*.f64 #s(literal 3 binary64) a))
(*.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)))
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))) b) a) #s(literal 3 binary64))
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64))
(*.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (/.f64 #s(literal 1 binary64) (*.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) (*.f64 #s(literal -1/2 binary64) c)) b))
#s(approx (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (/.f64 (fma.f64 (/.f64 (*.f64 a #s(literal -3/8 binary64)) b) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -1/2 binary64) c)) b))
#s(approx (/ (/ (- (pow (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) 2) (pow (/ b a) 2)) (+ (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) (/ b a))) 3) (/.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (/.f64 (*.f64 a (*.f64 c c)) b) (*.f64 #s(literal -1/2 binary64) c)) b))
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (*.f64 (/.f64 b a) b)) a))) b))
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.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) c (*.f64 (/.f64 b a) b)) a))) b) #s(literal 1/3 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))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (/.f64 (/.f64 (*.f64 c c) (*.f64 b b)) b) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
(-.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b)))) (/.f64 b (*.f64 a #s(literal 3 binary64))))
(-.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b))) a) #s(literal 1/3 binary64)) (/.f64 b (*.f64 a #s(literal 3 binary64))))
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (*.f64 (/.f64 #s(literal 1/3 binary64) a) b))
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (*.f64 (/.f64 b a) #s(literal 1/3 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))))
(fma.f64 (neg.f64 b) (/.f64 #s(literal 1/3 binary64) a) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b 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 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 b a)) #s(literal 3 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) #s(literal 3 binary64))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 (*.f64 (/.f64 b a) b) a (*.f64 (*.f64 #s(literal -3 binary64) c) a))))) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (/.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 (*.f64 a c) c) b) (*.f64 #s(literal -3/2 binary64) c)) b)) #s(literal 3 binary64))
(/.f64 #s(approx (/ (- (pow (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) 2) (pow (/ b a) 2)) (+ (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) (/ b a))) (/.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 a (*.f64 c c)) b) (*.f64 #s(literal -3/2 binary64) c)) b)) #s(literal 3 binary64))
(fma.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b))) (/.f64 (/.f64 b a) #s(literal -3 binary64)))
(fma.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b))) a) #s(literal 1/3 binary64) (/.f64 (/.f64 b a) #s(literal -3 binary64)))
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b))) a) (*.f64 b a)) (*.f64 a a)) #s(literal 3 binary64))
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (*.f64 a b)) (*.f64 a a)) #s(literal 3 binary64))
(/.f64 (/.f64 (fma.f64 (neg.f64 b) a (*.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b))) a)) (*.f64 a a)) #s(literal 3 binary64))
(/.f64 (/.f64 (fma.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b))) a (*.f64 a (neg.f64 b))) (*.f64 a a)) #s(literal 3 binary64))
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (/.f64 (/.f64 b a) #s(literal 3 binary64)))
(/.f64 (fma.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b))) a) #s(literal 3 binary64) (*.f64 (*.f64 #s(literal -3 binary64) a) b)) (*.f64 #s(literal 9 binary64) (*.f64 a a)))
(/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b))) a) #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) (/.f64 b a))) #s(literal 9 binary64))
(-.f64 (/.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 3 binary64)) (/.f64 (/.f64 b a) #s(literal 3 binary64)))
(/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b)) (*.f64 (*.f64 #s(literal 3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
(/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b))) #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) a) (/.f64 b a))) (*.f64 (*.f64 #s(literal 3 binary64) a) #s(literal 3 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b))) a) (*.f64 #s(literal 3 binary64) a)) (*.f64 #s(literal 3 binary64) b)) (*.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) a)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 a a)) (fma.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b))) a) #s(literal 3 binary64) (*.f64 (*.f64 #s(literal -3 binary64) a) b))))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 #s(literal -9/8 binary64) (*.f64 (/.f64 (*.f64 a a) b) (/.f64 (*.f64 c c) b)) (*.f64 (*.f64 #s(literal -3/2 binary64) a) c)) b)) (*.f64 #s(literal 3 binary64) a))
(/.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 (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b)) (*.f64 a (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) #s(literal 3 binary64))
(/.f64 (*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1/3 binary64) a)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))
(/.f64 (/.f64 #s(approx (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (/.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 (*.f64 (*.f64 a c) c) a) b) (*.f64 (*.f64 #s(literal -3/2 binary64) c) a)) b)) a) #s(literal 3 binary64))
(/.f64 (/.f64 (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a) #s(literal 3 binary64))
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b))) (/.f64 a b)) (*.f64 a #s(literal 1 binary64))) (*.f64 a (/.f64 a b))) #s(literal 3 binary64))
Outputs
(/.f64 (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b)) (*.f64 a (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) #s(literal 3 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (/.f64 (/.f64 (*.f64 c c) (*.f64 b b)) b) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
Calls

5 calls:

24.0ms
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
20.0ms
b
20.0ms
a
20.0ms
(*.f64 #s(literal 3 binary64) a)
18.0ms
c
Results
AccuracySegmentsBranch
81.9%1a
86.7%2b
81.9%1c
85.9%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))
81.9%1(*.f64 #s(literal 3 binary64) a)
Compiler

Compiled 23 to 26 computations (-13% saved)

regimes39.0ms (0.3%)

Memory
2.7MiB live, 44.7MiB allocated
Counts
65 → 2
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c))
#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(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64))
(/.f64 #s(approx (/ (- (pow (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) 2) (pow (/ b a) 2)) (+ (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) (/ b a))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 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))))
#s(approx (/ (/ (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) (* a (+ (* b (+ (sqrt (+ (* (* -3 c) a) (* b b))) b)) (+ (* (* -3 c) a) (* b b))))) 3) (*.f64 (/.f64 #s(literal 1/18 binary64) a) (/.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) b)))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)))) (*.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))
#s(approx (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (*.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 (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) 2) (pow (/ b a) 2)) (+ (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) (/ b a))) 3) (*.f64 (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)))
(/.f64 (/.f64 #s(approx (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) a) #s(literal 3 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (*.f64 #s(literal 3/8 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1/2 binary64)) (neg.f64 b))) c))
(*.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 (-.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 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal 1/3 binary64)) a)
(/.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b))) b) (*.f64 #s(literal 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 (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 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 c #s(literal 3 binary64)) a)))) (*.f64 #s(literal 3 binary64) a))
(*.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)))
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))) b) a) #s(literal 3 binary64))
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64))
(*.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (/.f64 #s(literal 1 binary64) (*.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) (*.f64 #s(literal -1/2 binary64) c)) b))
#s(approx (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (/.f64 (fma.f64 (/.f64 (*.f64 a #s(literal -3/8 binary64)) b) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -1/2 binary64) c)) b))
#s(approx (/ (/ (- (pow (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) 2) (pow (/ b a) 2)) (+ (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) (/ b a))) 3) (/.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (/.f64 (*.f64 a (*.f64 c c)) b) (*.f64 #s(literal -1/2 binary64) c)) b))
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (*.f64 (/.f64 b a) b)) a))) b))
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.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) c (*.f64 (/.f64 b a) b)) a))) b) #s(literal 1/3 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))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (/.f64 (/.f64 (*.f64 c c) (*.f64 b b)) b) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
(-.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b)))) (/.f64 b (*.f64 a #s(literal 3 binary64))))
(-.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b))) a) #s(literal 1/3 binary64)) (/.f64 b (*.f64 a #s(literal 3 binary64))))
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (*.f64 (/.f64 #s(literal 1/3 binary64) a) b))
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (*.f64 (/.f64 b a) #s(literal 1/3 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))))
(fma.f64 (neg.f64 b) (/.f64 #s(literal 1/3 binary64) a) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b 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 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 b a)) #s(literal 3 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) #s(literal 3 binary64))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 (*.f64 (/.f64 b a) b) a (*.f64 (*.f64 #s(literal -3 binary64) c) a))))) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (/.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 (*.f64 a c) c) b) (*.f64 #s(literal -3/2 binary64) c)) b)) #s(literal 3 binary64))
(/.f64 #s(approx (/ (- (pow (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) 2) (pow (/ b a) 2)) (+ (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) (/ b a))) (/.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 a (*.f64 c c)) b) (*.f64 #s(literal -3/2 binary64) c)) b)) #s(literal 3 binary64))
(fma.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b))) (/.f64 (/.f64 b a) #s(literal -3 binary64)))
(fma.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b))) a) #s(literal 1/3 binary64) (/.f64 (/.f64 b a) #s(literal -3 binary64)))
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b))) a) (*.f64 b a)) (*.f64 a a)) #s(literal 3 binary64))
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (*.f64 a b)) (*.f64 a a)) #s(literal 3 binary64))
(/.f64 (/.f64 (fma.f64 (neg.f64 b) a (*.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b))) a)) (*.f64 a a)) #s(literal 3 binary64))
(/.f64 (/.f64 (fma.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b))) a (*.f64 a (neg.f64 b))) (*.f64 a a)) #s(literal 3 binary64))
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (/.f64 (/.f64 b a) #s(literal 3 binary64)))
(/.f64 (fma.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b))) a) #s(literal 3 binary64) (*.f64 (*.f64 #s(literal -3 binary64) a) b)) (*.f64 #s(literal 9 binary64) (*.f64 a a)))
(/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b))) a) #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) (/.f64 b a))) #s(literal 9 binary64))
(-.f64 (/.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 3 binary64)) (/.f64 (/.f64 b a) #s(literal 3 binary64)))
(/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b)) (*.f64 (*.f64 #s(literal 3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
(/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b))) #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) a) (/.f64 b a))) (*.f64 (*.f64 #s(literal 3 binary64) a) #s(literal 3 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b))) a) (*.f64 #s(literal 3 binary64) a)) (*.f64 #s(literal 3 binary64) b)) (*.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) a)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 a a)) (fma.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b))) a) #s(literal 3 binary64) (*.f64 (*.f64 #s(literal -3 binary64) a) b))))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 #s(literal -9/8 binary64) (*.f64 (/.f64 (*.f64 a a) b) (/.f64 (*.f64 c c) b)) (*.f64 (*.f64 #s(literal -3/2 binary64) a) c)) b)) (*.f64 #s(literal 3 binary64) a))
(/.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))
Outputs
(/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b)) (*.f64 (*.f64 #s(literal 3 binary64) 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)) (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (/.f64 (/.f64 (*.f64 c c) (*.f64 b b)) b) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
Calls

1 calls:

36.0ms
b
Results
AccuracySegmentsBranch
86.6%2b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes45.0ms (0.4%)

Memory
-3.4MiB live, 34.6MiB allocated
Counts
59 → 2
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c))
#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(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64))
(/.f64 #s(approx (/ (- (pow (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) 2) (pow (/ b a) 2)) (+ (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) (/ b a))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 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))))
#s(approx (/ (/ (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) (* a (+ (* b (+ (sqrt (+ (* (* -3 c) a) (* b b))) b)) (+ (* (* -3 c) a) (* b b))))) 3) (*.f64 (/.f64 #s(literal 1/18 binary64) a) (/.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) b)))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)))) (*.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))
#s(approx (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (*.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 (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) 2) (pow (/ b a) 2)) (+ (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) (/ b a))) 3) (*.f64 (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)))
(/.f64 (/.f64 #s(approx (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) a) #s(literal 3 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (*.f64 #s(literal 3/8 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1/2 binary64)) (neg.f64 b))) c))
(*.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 (-.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 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal 1/3 binary64)) a)
(/.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b))) b) (*.f64 #s(literal 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 (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 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 c #s(literal 3 binary64)) a)))) (*.f64 #s(literal 3 binary64) a))
(*.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)))
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))) b) a) #s(literal 3 binary64))
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64))
(*.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (/.f64 #s(literal 1 binary64) (*.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) (*.f64 #s(literal -1/2 binary64) c)) b))
#s(approx (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (/.f64 (fma.f64 (/.f64 (*.f64 a #s(literal -3/8 binary64)) b) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -1/2 binary64) c)) b))
#s(approx (/ (/ (- (pow (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) 2) (pow (/ b a) 2)) (+ (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) (/ b a))) 3) (/.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (/.f64 (*.f64 a (*.f64 c c)) b) (*.f64 #s(literal -1/2 binary64) c)) b))
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (*.f64 (/.f64 b a) b)) a))) b))
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.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) c (*.f64 (/.f64 b a) b)) a))) b) #s(literal 1/3 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))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (/.f64 (/.f64 (*.f64 c c) (*.f64 b b)) b) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
(-.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b)))) (/.f64 b (*.f64 a #s(literal 3 binary64))))
(-.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b))) a) #s(literal 1/3 binary64)) (/.f64 b (*.f64 a #s(literal 3 binary64))))
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (*.f64 (/.f64 #s(literal 1/3 binary64) a) b))
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (*.f64 (/.f64 b a) #s(literal 1/3 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))))
(fma.f64 (neg.f64 b) (/.f64 #s(literal 1/3 binary64) a) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b 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 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 b a)) #s(literal 3 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) #s(literal 3 binary64))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 (*.f64 (/.f64 b a) b) a (*.f64 (*.f64 #s(literal -3 binary64) c) a))))) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (/.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 (*.f64 a c) c) b) (*.f64 #s(literal -3/2 binary64) c)) b)) #s(literal 3 binary64))
(/.f64 #s(approx (/ (- (pow (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) 2) (pow (/ b a) 2)) (+ (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) (/ b a))) (/.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 a (*.f64 c c)) b) (*.f64 #s(literal -3/2 binary64) c)) b)) #s(literal 3 binary64))
(fma.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b))) (/.f64 (/.f64 b a) #s(literal -3 binary64)))
(fma.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b))) a) #s(literal 1/3 binary64) (/.f64 (/.f64 b a) #s(literal -3 binary64)))
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b))) a) (*.f64 b a)) (*.f64 a a)) #s(literal 3 binary64))
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (*.f64 a b)) (*.f64 a a)) #s(literal 3 binary64))
(/.f64 (/.f64 (fma.f64 (neg.f64 b) a (*.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b))) a)) (*.f64 a a)) #s(literal 3 binary64))
(/.f64 (/.f64 (fma.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b))) a (*.f64 a (neg.f64 b))) (*.f64 a a)) #s(literal 3 binary64))
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (/.f64 (/.f64 b a) #s(literal 3 binary64)))
(/.f64 (fma.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b))) a) #s(literal 3 binary64) (*.f64 (*.f64 #s(literal -3 binary64) a) b)) (*.f64 #s(literal 9 binary64) (*.f64 a a)))
(/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b))) a) #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) (/.f64 b a))) #s(literal 9 binary64))
(-.f64 (/.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 3 binary64)) (/.f64 (/.f64 b a) #s(literal 3 binary64)))
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))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (/.f64 (/.f64 (*.f64 c c) (*.f64 b b)) b) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
Calls

1 calls:

15.0ms
b
Results
AccuracySegmentsBranch
86.2%2b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes12.0ms (0.1%)

Memory
30.3MiB live, 30.3MiB allocated
Counts
36 → 2
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c))
#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(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64))
(/.f64 #s(approx (/ (- (pow (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) 2) (pow (/ b a) 2)) (+ (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) (/ b a))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 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))))
#s(approx (/ (/ (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) (* a (+ (* b (+ (sqrt (+ (* (* -3 c) a) (* b b))) b)) (+ (* (* -3 c) a) (* b b))))) 3) (*.f64 (/.f64 #s(literal 1/18 binary64) a) (/.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) b)))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)))) (*.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))
#s(approx (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (*.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 (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) 2) (pow (/ b a) 2)) (+ (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) (/ b a))) 3) (*.f64 (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)))
(/.f64 (/.f64 #s(approx (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) a) #s(literal 3 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (*.f64 #s(literal 3/8 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1/2 binary64)) (neg.f64 b))) c))
(*.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 (-.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 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal 1/3 binary64)) a)
(/.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b))) b) (*.f64 #s(literal 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 (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 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 c #s(literal 3 binary64)) a)))) (*.f64 #s(literal 3 binary64) a))
(*.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)))
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))) b) a) #s(literal 3 binary64))
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64))
(*.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (/.f64 #s(literal 1 binary64) (*.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) (*.f64 #s(literal -1/2 binary64) c)) b))
#s(approx (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (/.f64 (fma.f64 (/.f64 (*.f64 a #s(literal -3/8 binary64)) b) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -1/2 binary64) c)) b))
#s(approx (/ (/ (- (pow (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) 2) (pow (/ b a) 2)) (+ (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) (/ b a))) 3) (/.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (/.f64 (*.f64 a (*.f64 c c)) b) (*.f64 #s(literal -1/2 binary64) c)) b))
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (*.f64 (/.f64 b a) b)) a))) b))
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.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) c (*.f64 (/.f64 b a) b)) a))) b) #s(literal 1/3 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))
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))
#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))
Calls

1 calls:

10.0ms
b
Results
AccuracySegmentsBranch
86.2%2b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes19.0ms (0.2%)

Memory
7.5MiB live, 44.1MiB allocated
Counts
27 → 2
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c))
#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(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64))
(/.f64 #s(approx (/ (- (pow (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) 2) (pow (/ b a) 2)) (+ (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) (/ b a))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 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))))
#s(approx (/ (/ (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) (* a (+ (* b (+ (sqrt (+ (* (* -3 c) a) (* b b))) b)) (+ (* (* -3 c) a) (* b b))))) 3) (*.f64 (/.f64 #s(literal 1/18 binary64) a) (/.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) b)))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)))) (*.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))
#s(approx (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (*.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 (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) 2) (pow (/ b a) 2)) (+ (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) (/ b a))) 3) (*.f64 (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)))
(/.f64 (/.f64 #s(approx (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) a) #s(literal 3 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (*.f64 #s(literal 3/8 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1/2 binary64)) (neg.f64 b))) c))
(*.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 (-.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 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal 1/3 binary64)) a)
(/.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b))) b) (*.f64 #s(literal 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 (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 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 c #s(literal 3 binary64)) a)))) (*.f64 #s(literal 3 binary64) a))
(*.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)))
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))) b) a) #s(literal 3 binary64))
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64))
(*.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) 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))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (*.f64 #s(literal 3/8 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1/2 binary64)) (neg.f64 b))) c))
Calls

2 calls:

10.0ms
b
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
85.2%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))
85.9%2b
Compiler

Compiled 18 to 15 computations (16.7% saved)

regimes10.0ms (0.1%)

Memory
-18.5MiB live, 17.9MiB allocated
Counts
19 → 2
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c))
#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(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64))
(/.f64 #s(approx (/ (- (pow (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) 2) (pow (/ b a) 2)) (+ (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) (/ b a))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 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))))
#s(approx (/ (/ (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) (* a (+ (* b (+ (sqrt (+ (* (* -3 c) a) (* b b))) b)) (+ (* (* -3 c) a) (* b b))))) 3) (*.f64 (/.f64 #s(literal 1/18 binary64) a) (/.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) b)))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)))) (*.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))
#s(approx (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (*.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 (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) 2) (pow (/ b a) 2)) (+ (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) (/ b a))) 3) (*.f64 (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)))
(/.f64 (/.f64 #s(approx (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) a) #s(literal 3 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (*.f64 #s(literal 3/8 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1/2 binary64)) (neg.f64 b))) c))
(*.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 (-.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 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal 1/3 binary64)) a)
(/.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b))) b) (*.f64 #s(literal 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)))
Outputs
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 1/3 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (*.f64 #s(literal 3/8 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1/2 binary64)) (neg.f64 b))) c))
Calls

1 calls:

9.0ms
b
Results
AccuracySegmentsBranch
85.9%2b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes6.0ms (0%)

Memory
13.2MiB live, 13.2MiB allocated
Counts
14 → 2
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c))
#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(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64))
(/.f64 #s(approx (/ (- (pow (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) 2) (pow (/ b a) 2)) (+ (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) (/ b a))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 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))))
#s(approx (/ (/ (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) (* a (+ (* b (+ (sqrt (+ (* (* -3 c) a) (* b b))) b)) (+ (* (* -3 c) a) (* b b))))) 3) (*.f64 (/.f64 #s(literal 1/18 binary64) a) (/.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) b)))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)))) (*.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))
#s(approx (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (*.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 (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) 2) (pow (/ b a) 2)) (+ (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) (/ b a))) 3) (*.f64 (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)))
(/.f64 (/.f64 #s(approx (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) a) #s(literal 3 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (*.f64 #s(literal 3/8 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1/2 binary64)) (neg.f64 b))) c))
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))
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))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (*.f64 #s(literal 3/8 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1/2 binary64)) (neg.f64 b))) c))
Calls

1 calls:

5.0ms
b
Results
AccuracySegmentsBranch
85.9%2b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes30.0ms (0.2%)

Memory
-17.6MiB live, 60.7MiB allocated
Counts
13 → 1
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c))
#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(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64))
(/.f64 #s(approx (/ (- (pow (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) 2) (pow (/ b a) 2)) (+ (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) (/ b a))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 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))))
#s(approx (/ (/ (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) (* a (+ (* b (+ (sqrt (+ (* (* -3 c) a) (* b b))) b)) (+ (* (* -3 c) a) (* b b))))) 3) (*.f64 (/.f64 #s(literal 1/18 binary64) a) (/.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) b)))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)))) (*.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))
#s(approx (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (*.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 (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) 2) (pow (/ b a) 2)) (+ (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) (/ b a))) 3) (*.f64 (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)))
(/.f64 (/.f64 #s(approx (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) a) #s(literal 3 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (*.f64 #s(literal 3/8 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1/2 binary64)) (neg.f64 b))) c))
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (*.f64 #s(literal 3/8 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1/2 binary64)) (neg.f64 b))) c))
Calls

5 calls:

8.0ms
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))
4.0ms
c
4.0ms
(*.f64 #s(literal 3 binary64) a)
4.0ms
b
Results
AccuracySegmentsBranch
81.6%1a
81.6%1(*.f64 #s(literal 3 binary64) a)
81.6%1c
81.6%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))
81.6%1b
Compiler

Compiled 23 to 26 computations (-13% saved)

regimes23.0ms (0.2%)

Memory
22.2MiB live, 60.2MiB allocated
Counts
12 → 1
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c))
#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(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64))
(/.f64 #s(approx (/ (- (pow (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) 2) (pow (/ b a) 2)) (+ (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) (/ b a))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 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))))
#s(approx (/ (/ (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) (* a (+ (* b (+ (sqrt (+ (* (* -3 c) a) (* b b))) b)) (+ (* (* -3 c) a) (* b b))))) 3) (*.f64 (/.f64 #s(literal 1/18 binary64) a) (/.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) b)))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)))) (*.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))
#s(approx (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (*.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 (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) 2) (pow (/ b a) 2)) (+ (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) (/ b a))) 3) (*.f64 (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)))
(/.f64 (/.f64 #s(approx (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) a) #s(literal 3 binary64))
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:

6.0ms
a
4.0ms
(/.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))
4.0ms
(*.f64 #s(literal 3 binary64) a)
4.0ms
c
4.0ms
b
Results
AccuracySegmentsBranch
64.7%1b
64.7%1c
64.7%1a
64.7%1(*.f64 #s(literal 3 binary64) a)
64.7%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)

regimes8.0ms (0.1%)

Memory
-17.0MiB live, 20.4MiB 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 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c))
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c))
Calls

5 calls:

2.0ms
(*.f64 #s(literal 3 binary64) a)
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
b
1.0ms
c
1.0ms
a
Results
AccuracySegmentsBranch
64.7%1a
64.7%1b
64.7%1(*.f64 #s(literal 3 binary64) a)
64.7%1c
64.7%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)

bsearch1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
0.0ms
259.12227761822646
265.1782187592577
Compiler

Compiled 20 to 18 computations (10% saved)

bsearch1.0ms (0%)

Memory
1.8MiB live, 1.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
0.0ms
259.12227761822646
265.1782187592577
Compiler

Compiled 20 to 18 computations (10% saved)

bsearch1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
0.0ms
259.12227761822646
265.1782187592577
Compiler

Compiled 20 to 18 computations (10% saved)

bsearch0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
0.0ms
259.12227761822646
265.1782187592577
Compiler

Compiled 20 to 18 computations (10% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
0.0ms
259.12227761822646
265.1782187592577
Compiler

Compiled 20 to 18 computations (10% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
0.0ms
259.12227761822646
265.1782187592577
Compiler

Compiled 20 to 18 computations (10% saved)

bsearch0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
0.0ms
259.12227761822646
265.1782187592577
Compiler

Compiled 20 to 18 computations (10% saved)

simplify50.0ms (0.4%)

Memory
-16.5MiB live, 64.9MiB allocated
Algorithm
egg-herbie
Rules
40×*-commutative-binary64-*.f64
18×+-commutative-binary64-+.f64
12×sub-neg-binary64-neg.f64-+.f64--.f64
neg-sub0-binary64--.f64-neg.f64
neg-mul-1-binary64-*.f64-neg.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0110656
1140653
2152653
3159653
4163653
5164653
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 (/.f64 #s(approx (- (pow (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) 2) (pow (/ b a) 2)) (*.f64 (/.f64 c a) #s(literal -3 binary64))) (+.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 b a))) #s(literal 3 binary64))
(if (<=.f64 b #s(literal 260 binary64)) (/.f64 (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b)) (*.f64 a (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) #s(literal 3 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (/.f64 (/.f64 (*.f64 c c) (*.f64 b b)) b) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))))
(if (<=.f64 b #s(literal 260 binary64)) (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b)) (*.f64 (*.f64 #s(literal 3 binary64) 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)) (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (/.f64 (/.f64 (*.f64 c c) (*.f64 b b)) b) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))))
(if (<=.f64 b #s(literal 260 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)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (/.f64 (/.f64 (*.f64 c c) (*.f64 b b)) b) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))))
(if (<=.f64 b #s(literal 260 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)) #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)))
(if (<=.f64 b #s(literal 260 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)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (*.f64 #s(literal 3/8 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1/2 binary64)) (neg.f64 b))) c)))
(if (<=.f64 b #s(literal 260 binary64)) (*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 1/3 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (*.f64 #s(literal 3/8 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1/2 binary64)) (neg.f64 b))) c)))
(if (<=.f64 b #s(literal 260 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)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (*.f64 #s(literal 3/8 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1/2 binary64)) (neg.f64 b))) c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (*.f64 #s(literal 3/8 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1/2 binary64)) (neg.f64 b))) c))
#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(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c))
Outputs
(/.f64 (/.f64 #s(approx (- (pow (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) 2) (pow (/ b a) 2)) (*.f64 (/.f64 c a) #s(literal -3 binary64))) (+.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 b a))) #s(literal 3 binary64))
(/.f64 (/.f64 #s(approx (- (pow (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) 2) (pow (/ b a) 2)) (*.f64 (/.f64 c a) #s(literal -3 binary64))) (+.f64 (/.f64 b a) (/.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) a))) #s(literal 3 binary64))
(if (<=.f64 b #s(literal 260 binary64)) (/.f64 (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b)) (*.f64 a (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) #s(literal 3 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (/.f64 (/.f64 (*.f64 c c) (*.f64 b b)) b) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))))
(if (<=.f64 b #s(literal 260 binary64)) (/.f64 (/.f64 (-.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)) (*.f64 b b)) (*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) a)) #s(literal 3 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (/.f64 (/.f64 (*.f64 c c) (*.f64 b b)) b) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))))
(if (<=.f64 b #s(literal 260 binary64)) (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b)) (*.f64 (*.f64 #s(literal 3 binary64) 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)) (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (/.f64 (/.f64 (*.f64 c c) (*.f64 b b)) b) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))))
(if (<=.f64 b #s(literal 260 binary64)) (/.f64 (-.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)) (*.f64 b b)) (*.f64 (*.f64 #s(literal 3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (/.f64 (/.f64 (*.f64 c c) (*.f64 b b)) b) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))))
(if (<=.f64 b #s(literal 260 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)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (/.f64 (/.f64 (*.f64 c c) (*.f64 b b)) b) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))))
(if (<=.f64 b #s(literal 260 binary64)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c))) b) (*.f64 #s(literal 3 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (/.f64 (/.f64 (*.f64 c c) (*.f64 b b)) b) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))))
(if (<=.f64 b #s(literal 260 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)) #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)))
(if (<=.f64 b #s(literal 260 binary64)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c))) 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) (*.f64 #s(literal -1/2 binary64) c)) b)))
(if (<=.f64 b #s(literal 260 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)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (*.f64 #s(literal 3/8 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1/2 binary64)) (neg.f64 b))) c)))
(if (<=.f64 b #s(literal 260 binary64)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c))) b) (*.f64 #s(literal 3 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (*.f64 #s(literal 3/8 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1/2 binary64)) (neg.f64 b))) c)))
(if (<=.f64 b #s(literal 260 binary64)) (*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 1/3 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (*.f64 #s(literal 3/8 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1/2 binary64)) (neg.f64 b))) c)))
(if (<=.f64 b #s(literal 260 binary64)) (*.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (*.f64 #s(literal 3/8 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1/2 binary64)) (neg.f64 b))) c)))
(if (<=.f64 b #s(literal 260 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)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (*.f64 #s(literal 3/8 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1/2 binary64)) (neg.f64 b))) c)))
(if (<=.f64 b #s(literal 260 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)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (*.f64 #s(literal 3/8 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1/2 binary64)) (neg.f64 b))) c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (*.f64 #s(literal 3/8 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1/2 binary64)) (neg.f64 b))) c))
#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 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c))

soundness1.5s (11.9%)

Memory
-232.5MiB live, 1 079.8MiB allocated
Rules
12 050×lower-fma.f64
12 050×lower-fma.f32
11 360×lower-fma.f64
11 360×lower-fma.f32
9 554×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0166216801
1571016479
0816715790
064430
0110430
1413414
23259414
010548414
01246
02046
17144
252543
3683643
0812540
095914477
1302714389
0861513789
04702458
114452441
248902418
080562302
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 771 to 386 computations (49.9% saved)

preprocess61.0ms (0.5%)

Memory
33.6MiB live, 149.5MiB allocated
Compiler

Compiled 710 to 180 computations (74.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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