Cubic critical, wide range

Time bar (total: 14.6s)

analyze200.0ms (1.4%)

Memory
19.4MiB live, 175.4MiB 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
6.8%0%0%100%0%0%0%7
15.9%0%0%100%0%0%0%8
23.1%0%0%100%0%0%0%9
36.5%0%0%100%0%0%0%10
45.4%0%0%100%0%0%0%11
52.3%0%0%100%0%0%0%12
Compiler

Compiled 41 to 26 computations (36.6% saved)

sample2.3s (15.9%)

Memory
58.4MiB live, 1 902.0MiB allocated
Samples
1.3s6 754×1valid
356.0ms1 502×0valid
123.0ms1 134×0invalid
Precisions
Click to see histograms. Total time spent on operations: 1.4s
ival-<: 257.0ms (18.3% of total)
ival-mult: 248.0ms (17.7% of total)
adjust: 204.0ms (14.6% of total)
const: 169.0ms (12.1% of total)
ival-sqrt: 141.0ms (10.1% of total)
ival-div: 109.0ms (7.8% of total)
ival-sub: 87.0ms (6.2% of total)
ival-add: 78.0ms (5.6% of total)
ival-neg: 62.0ms (4.4% of total)
ival-and: 32.0ms (2.3% of total)
exact: 10.0ms (0.7% of total)
ival-assert: 3.0ms (0.2% of total)
Bogosity

preprocess146.0ms (1%)

Memory
25.9MiB live, 102.7MiB 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 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -3 binary64)))) b) (*.f64 #s(literal 3 binary64) a))

explain191.0ms (1.3%)

Memory
-60.9MiB live, 196.3MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2491(3.412012572931659e+28 17562680499953754000.0 17766706.8884167)0-(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))))
00-0-a
00-0-#s(literal 3 binary64)
00-0-(*.f64 (*.f64 #s(literal 3 binary64) a) c)
00-0-(*.f64 b b)
00-0-c
00-0-(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))
00-0-(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
00-0-(neg.f64 b)
00-0-(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))
00-0-b
00-0-(*.f64 #s(literal 3 binary64) a)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
+.f64(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))))cancellation2502
Confusion
Predicted +Predicted -
+2491
-15
Precision
0.996
Recall
0.996
Confusion?
Predicted +Predicted MaybePredicted -
+24901
-123
Precision?
0.9880952380952381
Recall?
0.996
Freqs
test
numberfreq
06
1250
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
66.0ms414×1valid
8.0ms98×0valid
Compiler

Compiled 176 to 52 computations (70.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 47.0ms
ival-mult: 16.0ms (33.8% of total)
adjust: 7.0ms (14.8% of total)
ival-sqrt: 7.0ms (14.8% of total)
ival-div: 6.0ms (12.7% of total)
ival-add: 4.0ms (8.5% of total)
ival-sub: 4.0ms (8.5% of total)
ival-neg: 2.0ms (4.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
18.1%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
Compiler

Compiled 20 to 12 computations (40% saved)

simplify95.0ms (0.6%)

Memory
5.3MiB live, 43.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f64 b)
cost-diff0
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
cost-diff128
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))
cost-diff128
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))))
Rules
1 088×lower-fma.f64
1 088×lower-fma.f32
712×lower-*.f32
706×lower-*.f64
430×div-sub
Iterations

Useful iterations: 0 (0.0ms)

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

localize58.0ms (0.4%)

Memory
-8.5MiB live, 67.7MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy99.8%
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))
accuracy99.6%
(*.f64 (*.f64 #s(literal 3 binary64) a) c)
accuracy99.4%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
accuracy18.3%
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))))
Samples
36.0ms207×1valid
4.0ms49×0valid
Compiler

Compiled 68 to 14 computations (79.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-mult: 6.0ms (26% of total)
adjust: 4.0ms (17.3% of total)
ival-sub: 4.0ms (17.3% of total)
ival-div: 3.0ms (13% of total)
ival-sqrt: 3.0ms (13% of total)
ival-add: 2.0ms (8.7% of total)
ival-neg: 1.0ms (4.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series29.0ms (0.2%)

Memory
-11.5MiB live, 28.2MiB 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 (* (sqrt (* a c)) (sqrt -3)) (taylor 0 b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 b) (* (sqrt (* a c)) (sqrt -3))) (taylor 0 b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3))) (taylor 0 b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3))) (taylor 0 b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* -3/2 (/ (* a c) b)) (taylor inf b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) (taylor inf b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) (taylor inf b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) (taylor inf b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* -2 b) (taylor -inf b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2)))))) (taylor -inf b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) (taylor -inf b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) (taylor -inf b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* -3/2 (/ (* a c) b)) (taylor 0 a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))) (taylor 0 a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))) (taylor 0 a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))) (taylor 0 a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (* a c)) (sqrt -3)) (taylor inf a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3)))) (taylor inf a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a))) (taylor inf a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a))) (taylor inf a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) (taylor -inf a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a)))) (taylor -inf a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) (taylor -inf a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ())
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#s(alt (* 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 inf 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 inf 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 inf 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 inf 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 -inf 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 -inf 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 -inf 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 -inf c) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) a) c) (patch (*.f64 (*.f64 #s(literal 3 binary64) a) c) #<representation binary64>) () ())) ())
Calls

36 calls:

TimeVariablePointExpression
6.0ms
a
@-inf
(/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a))
3.0ms
c
@0
(/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a))
2.0ms
b
@0
(/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a))
1.0ms
b
@inf
(+ (neg b) (sqrt (- (* b b) (* (* 3 a) c))))
1.0ms
a
@-inf
(+ (neg b) (sqrt (- (* b b) (* (* 3 a) c))))

simplify405.0ms (2.8%)

Memory
24.1MiB live, 378.9MiB 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
248962418
080642302
Stop Event
iter limit
node limit
Counts
144 → 144
Calls
Call 1
Inputs
(* (sqrt (* a c)) (sqrt -3))
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -3)))
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3)))
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3)))
(* -3/2 (/ (* a c) b))
(/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
(* -2 b)
(* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -3/2 (/ (* a c) b))
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))))
(* (sqrt (* a c)) (sqrt -3))
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a)))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -3/2 (/ (* a c) b))
(* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b))))))))
(* (sqrt (* a c)) (sqrt -3))
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c)))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c)))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))
(* -3 (* a c))
(- (pow b 2) (* 3 (* a c)))
(- (pow b 2) (* 3 (* a c)))
(- (pow b 2) (* 3 (* a c)))
(pow b 2)
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(pow b 2)
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(pow b 2)
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(* -3 (* a c))
(* a (- (/ (pow b 2) a) (* 3 c)))
(* a (- (/ (pow b 2) a) (* 3 c)))
(* a (- (/ (pow b 2) a) (* 3 c)))
(* -3 (* a c))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c))))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c))))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c))))
(pow b 2)
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(* -3 (* a c))
(* c (- (/ (pow b 2) c) (* 3 a)))
(* c (- (/ (pow b 2) c) (* 3 a)))
(* c (- (/ (pow b 2) c) (* 3 a)))
(* -3 (* a c))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -3 a))))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -3 a))))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -3 a))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a)))))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a)))))
(* -1/2 (/ c b))
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -2/3 (/ b a))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))))
(* -1/2 (/ c b))
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(* -1/2 (/ c b))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* 3 (* a c))
(* 3 (* a c))
(* 3 (* a c))
(* 3 (* a c))
(* 3 (* a c))
(* 3 (* a c))
(* 3 (* a c))
(* 3 (* a c))
(* 3 (* a c))
(* 3 (* a c))
(* 3 (* a c))
(* 3 (* a c))
(* 3 (* a c))
(* 3 (* a c))
(* 3 (* a c))
(* 3 (* a c))
(* 3 (* a c))
(* 3 (* a c))
(* 3 (* a c))
(* 3 (* a c))
(* 3 (* a c))
(* 3 (* a c))
(* 3 (* a c))
(* 3 (* a c))
Outputs
(* (sqrt (* a c)) (sqrt -3))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -3 binary64)))
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -3)))
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -3 binary64)) (neg.f64 b))
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3)))
(fma.f64 b (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 (/.f64 b (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -3 binary64))))
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3)))
(fma.f64 b (fma.f64 b (fma.f64 #s(literal 1/24 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a (*.f64 c (*.f64 c c))))))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -3 binary64))))) #s(literal -1 binary64)) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -3 binary64))))
(* -3/2 (/ (* a c) b))
(/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b)
(/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/.f64 (fma.f64 a (*.f64 c #s(literal -3/2 binary64)) (/.f64 (*.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (*.f64 a a)) (*.f64 b b))) b)
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/.f64 (fma.f64 (*.f64 a a) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (*.f64 b b)) (fma.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal -27/16 binary64)) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (*.f64 a c) #s(literal -3/2 binary64)))) b)
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
(/.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) #s(literal -27/16 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.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 a (*.f64 c #s(literal -3/2 binary64)) (/.f64 (*.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (*.f64 a a)) (*.f64 b b))))) b)
(* -2 b)
(*.f64 b #s(literal -2 binary64))
(* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2))))))
(neg.f64 (*.f64 b (fma.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal 2 binary64))))
(* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(*.f64 (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal 2 binary64))) (neg.f64 b))
(* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(*.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 a (*.f64 c (*.f64 c c))))) (pow.f64 b #s(literal 6 binary64))) (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal 2 binary64)))) (neg.f64 b))
(* -3/2 (/ (* a c) b))
(/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b)
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))
(*.f64 a (fma.f64 a (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 c #s(literal -3/2 binary64)) b)))
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))
(*.f64 a (fma.f64 a (fma.f64 (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) (*.f64 #s(literal -27/16 binary64) a) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 c #s(literal -3/2 binary64)) b)))
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))))
(*.f64 a (fma.f64 a (fma.f64 a (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) a)) b) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -27/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 c #s(literal -3/2 binary64)) b)))
(* (sqrt (* a c)) (sqrt -3))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -3 binary64)))
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3))))
(*.f64 a (-.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 c a))) (/.f64 b a)))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a)))
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(fma.f64 (/.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (pow.f64 a #s(literal 5 binary64)))))) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/72 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c))))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/6 binary64)) (fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/3 binary64)) (*.f64 (/.f64 b a) #s(literal -1/3 binary64)))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (*.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 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (/.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)))))
(-.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal -1/3 binary64))) (/.f64 (fma.f64 (/.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) #s(literal 1/6 binary64)) (*.f64 b #s(literal 1/3 binary64))) a))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(-.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal -1/3 binary64))) (/.f64 (-.f64 (*.f64 b #s(literal 1/3 binary64)) (/.f64 (fma.f64 (/.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 a c)) #s(literal -1/6 binary64)) (*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 3 binary64))) #s(literal 1/72 binary64))) a)) a))
(* -1/2 (/ c b))
(*.f64 #s(literal -1/2 binary64) (/.f64 c b))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(*.f64 c (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b)))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(*.f64 c (fma.f64 c (fma.f64 (*.f64 a a) (*.f64 (/.f64 c (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64)) (/.f64 (*.f64 a #s(literal -3/8 binary64)) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1/2 binary64) b)))
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))
(*.f64 c (fma.f64 c (fma.f64 c (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (/.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)) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 a #s(literal -3/8 binary64)) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1/2 binary64) b)))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/3 binary64)))
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))
(*.f64 c (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/3 binary64)) (/.f64 (*.f64 b #s(literal -1/3 binary64)) (*.f64 a c))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))
(*.f64 c (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a (*.f64 c (*.f64 c c))))))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/6 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/3 binary64)) (/.f64 (*.f64 b #s(literal -1/3 binary64)) (*.f64 a c)))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))
(*.f64 c (fma.f64 (/.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 5 binary64)))))) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/72 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a (*.f64 c (*.f64 c c))))))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/6 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/3 binary64)) (/.f64 (*.f64 b #s(literal -1/3 binary64)) (*.f64 a c))))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal -1/3 binary64)))
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c))))))
(*.f64 c (*.f64 #s(literal -1/3 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (/.f64 b (*.f64 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)))))))
(*.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 1/3 binary64))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c))))) (*.f64 (/.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 3 binary64))) #s(literal -1/6 binary64)) (*.f64 (/.f64 b a) #s(literal -1/3 binary64))) c)) (neg.f64 c))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(*.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 1/3 binary64))) (/.f64 (-.f64 (*.f64 (/.f64 b a) #s(literal -1/3 binary64)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (pow.f64 a #s(literal 5 binary64)))))) (sqrt.f64 #s(literal 3 binary64))) #s(literal -1/72 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 c (*.f64 a (*.f64 a a))))) (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 #s(literal 3 binary64)))) c)) c)) (neg.f64 c))
(* -1 b)
(neg.f64 b)
(* -1 b)
(neg.f64 b)
(* -1 b)
(neg.f64 b)
(* -1 b)
(neg.f64 b)
(* -1 b)
(neg.f64 b)
(* -1 b)
(neg.f64 b)
(* -1 b)
(neg.f64 b)
(* -1 b)
(neg.f64 b)
(* -1 b)
(neg.f64 b)
(* -1 b)
(neg.f64 b)
(* -1 b)
(neg.f64 b)
(* -1 b)
(neg.f64 b)
(* 3 (* a c))
(*.f64 c (*.f64 a #s(literal 3 binary64)))
(* 3 (* a c))
(*.f64 c (*.f64 a #s(literal 3 binary64)))
(* 3 (* a c))
(*.f64 c (*.f64 a #s(literal 3 binary64)))
(* 3 (* a c))
(*.f64 c (*.f64 a #s(literal 3 binary64)))
(* 3 (* a c))
(*.f64 c (*.f64 a #s(literal 3 binary64)))
(* 3 (* a c))
(*.f64 c (*.f64 a #s(literal 3 binary64)))
(* 3 (* a c))
(*.f64 c (*.f64 a #s(literal 3 binary64)))
(* 3 (* a c))
(*.f64 c (*.f64 a #s(literal 3 binary64)))
(* 3 (* a c))
(*.f64 c (*.f64 a #s(literal 3 binary64)))
(* 3 (* a c))
(*.f64 c (*.f64 a #s(literal 3 binary64)))
(* 3 (* a c))
(*.f64 c (*.f64 a #s(literal 3 binary64)))
(* 3 (* a c))
(*.f64 c (*.f64 a #s(literal 3 binary64)))
(* 3 (* a c))
(*.f64 c (*.f64 a #s(literal 3 binary64)))
(* 3 (* a c))
(*.f64 c (*.f64 a #s(literal 3 binary64)))
(* 3 (* a c))
(*.f64 c (*.f64 a #s(literal 3 binary64)))
(* 3 (* a c))
(*.f64 c (*.f64 a #s(literal 3 binary64)))
(* 3 (* a c))
(*.f64 c (*.f64 a #s(literal 3 binary64)))
(* 3 (* a c))
(*.f64 c (*.f64 a #s(literal 3 binary64)))
(* 3 (* a c))
(*.f64 c (*.f64 a #s(literal 3 binary64)))
(* 3 (* a c))
(*.f64 c (*.f64 a #s(literal 3 binary64)))
(* 3 (* a c))
(*.f64 c (*.f64 a #s(literal 3 binary64)))
(* 3 (* a c))
(*.f64 c (*.f64 a #s(literal 3 binary64)))
(* 3 (* a c))
(*.f64 c (*.f64 a #s(literal 3 binary64)))
(* 3 (* a c))
(*.f64 c (*.f64 a #s(literal 3 binary64)))

rewrite328.0ms (2.2%)

Memory
16.4MiB live, 327.7MiB allocated
Algorithm
batch-egg-rewrite
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
(+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))
(+.f64 b (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))
(+.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) b)
(+.f64 #s(literal 0 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))
(+.f64 (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (neg.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))))
(+.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) #s(literal 0 binary64)) b)
(+.f64 (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) b)
(-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) b)
(-.f64 #s(literal 0 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))
(-.f64 (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (/.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))
(-.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))
(-.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) #s(literal 0 binary64)) b)
(fma.f64 b #s(literal 1 binary64) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))
(fma.f64 b #s(literal 1 binary64) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))
(fma.f64 b #s(literal -1 binary64) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))
(fma.f64 b #s(literal -1 binary64) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))
(fma.f64 b (/.f64 b (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (neg.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))))
(fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (neg.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))))
(fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) b) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))
(fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) b) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))
(fma.f64 (*.f64 b (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))
(fma.f64 (*.f64 b (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 b b)) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))
(fma.f64 #s(literal 1 binary64) b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))
(fma.f64 #s(literal 1 binary64) b (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (neg.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))))
(fma.f64 #s(literal -1 binary64) b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))
(fma.f64 #s(literal -1 binary64) b (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (neg.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (*.f64 b (*.f64 b (*.f64 b b))))) #s(literal 1/2 binary64)) b)
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (*.f64 b (*.f64 b (*.f64 b b)))))) b)
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (*.f64 b (*.f64 b (*.f64 b b)))))) b)
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) #s(literal 1/2 binary64)) b)
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (sqrt.f64 (/.f64 #s(literal -1 binary64) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) b)
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b)))) b)
(fma.f64 (pow.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) #s(literal 1/4 binary64)) b)
(fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) b)
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(*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal -3 binary64))))
(*.f64 (fma.f64 b b (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (*.f64 #s(literal 3 binary64) a)))
(*.f64 (fma.f64 b b (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 #s(literal 3 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))))
(*.f64 (fma.f64 b b (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (/.f64 #s(literal 1/3 binary64) a)))
(*.f64 (fma.f64 b b (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (/.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))
(*.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (/.f64 #s(literal -1/3 binary64) a))
(*.f64 (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) a))
(*.f64 (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 a)))
(*.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a))
(*.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 a (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64)))
(*.f64 (/.f64 (fma.f64 b (*.f64 b b) (*.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (*.f64 #s(literal 3 binary64) a)) (/.f64 #s(literal 1 binary64) (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))
(*.f64 (/.f64 (fma.f64 b b (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))
(*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal 1/3 binary64))
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 3 binary64) a) (fma.f64 b (*.f64 b b) (*.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))
(*.f64 (pow.f64 (/.f64 (*.f64 a #s(literal -3 binary64)) (fma.f64 b b (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))
(*.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (neg.f64 a)))
(*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal -1/3 binary64)))
(*.f64 (/.f64 (fma.f64 b (*.f64 b b) (*.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) #s(literal 3 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a))
(*.f64 (/.f64 (fma.f64 b (*.f64 b b) (*.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) a) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 3 binary64)))
(*.f64 (/.f64 (fma.f64 b b (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) #s(literal 3 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) a))
(*.f64 (/.f64 (fma.f64 b b (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) a) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) #s(literal 3 binary64)))
(*.f64 (/.f64 (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 3 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal 3 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (/.f64 #s(literal -1/3 binary64) a))
(*.f64 (/.f64 (/.f64 (fma.f64 b (*.f64 b b) (*.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (*.f64 #s(literal 3 binary64) a)) (fma.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) (*.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (fma.f64 b b (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (fma.f64 b (*.f64 b (*.f64 b b)) (fma.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (fma.f64 b b (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 (*.f64 b b) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))))))
(*.f64 (/.f64 (/.f64 (fma.f64 b (*.f64 b b) (*.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (*.f64 #s(literal 3 binary64) a)) (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (fma.f64 b b (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) (neg.f64 (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))
(*.f64 (/.f64 (/.f64 (fma.f64 b b (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) (fma.f64 b b (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b)))) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))
(*.f64 (/.f64 (/.f64 (fma.f64 b b (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) (fma.f64 b (*.f64 b b) (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))
b
(+.f64 b #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) b)
(exp.f64 (*.f64 (log.f64 b) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) b)
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 b b)) b)
(-.f64 (/.f64 #s(literal 0 binary64) b) b)
(fma.f64 b #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 b #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) b) #s(literal 0 binary64))
(fma.f64 (*.f64 b (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 b b)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) b #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) b #s(literal 0 binary64))
(fma.f64 (pow.f64 b #s(literal 1/2 binary64)) (pow.f64 b #s(literal 1/2 binary64)) #s(literal 0 binary64))
(neg.f64 b)
(/.f64 (*.f64 b b) b)
(/.f64 (*.f64 b (*.f64 b b)) (*.f64 b b))
(/.f64 (*.f64 b (*.f64 b b)) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 b b) #s(literal 0 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))
(/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 b b)))
(pow.f64 b #s(literal 1 binary64))
(*.f64 b #s(literal 1 binary64))
(*.f64 b #s(literal -1 binary64))
(*.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) b))
(*.f64 (*.f64 b (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 b b)))
(*.f64 #s(literal 1 binary64) b)
(*.f64 #s(literal -1 binary64) b)
(*.f64 (pow.f64 b #s(literal 1/2 binary64)) (pow.f64 b #s(literal 1/2 binary64)))
(*.f64 #s(literal 3 binary64) (*.f64 a c))
(*.f64 a (*.f64 #s(literal 3 binary64) c))
(*.f64 (*.f64 #s(literal 3 binary64) a) c)
(*.f64 c (*.f64 #s(literal 3 binary64) a))
(*.f64 (*.f64 a c) #s(literal 3 binary64))
(*.f64 (*.f64 #s(literal 3 binary64) c) a)

eval113.0ms (0.8%)

Memory
-8.1MiB live, 139.2MiB allocated
Compiler

Compiled 20 413 to 1 864 computations (90.9% saved)

prune111.0ms (0.8%)

Memory
-2.8MiB live, 174.3MiB allocated
Pruning

18 alts after pruning (18 fresh and 0 done)

PrunedKeptTotal
New53618554
Fresh000
Picked101
Done000
Total53718555
Accuracy
99.8%
Counts
555 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
18.4%
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b (*.f64 b b)))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a))
17.9%
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) b) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b b))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) b)) (*.f64 #s(literal 3 binary64) a))
18.1%
(/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64))
18.4%
(/.f64 (-.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) (*.f64 #s(literal 3 binary64) a))
18.1%
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) b) (*.f64 #s(literal 3 binary64) a))
18.1%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))) (*.f64 #s(literal 3 binary64) a))
95.1%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 a (*.f64 c #s(literal -3/2 binary64)) (/.f64 (*.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (*.f64 a a)) (*.f64 b b))) b)) (*.f64 #s(literal 3 binary64) a))
89.7%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b)) (*.f64 #s(literal 3 binary64) a))
95.2%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 c (fma.f64 #s(literal -3/2 binary64) (/.f64 a b) (/.f64 (*.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) c) (*.f64 b (*.f64 b b)))))) (*.f64 #s(literal 3 binary64) a))
17.7%
(-.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) (/.f64 b (*.f64 #s(literal 3 binary64) a)))
18.1%
(*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))
95.5%
#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 a (*.f64 c c)) #s(literal -3/8 binary64)) (*.f64 b (*.f64 b b)))))
97.6%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64)))) b))
95.8%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b))
97.2%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (fma.f64 c (fma.f64 (*.f64 a a) (*.f64 (/.f64 c (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64)) (/.f64 (*.f64 a #s(literal -3/8 binary64)) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1/2 binary64) b))))
97.9%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (fma.f64 c (fma.f64 c (fma.f64 #s(literal -1/6 binary64) (/.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)) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 a #s(literal -3/8 binary64)) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1/2 binary64) b))))
95.5%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b))))
90.3%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))
Compiler

Compiled 1 008 to 554 computations (45% saved)

simplify355.0ms (2.4%)

Memory
-1.6MiB live, 229.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))
cost-diff0
(/.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))
cost-diff1536
(/.f64 (-.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) (*.f64 #s(literal 3 binary64) a))
cost-diff3456
(-.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))
cost-diff0
(/.f64 (*.f64 (*.f64 a (*.f64 c c)) #s(literal -3/8 binary64)) (*.f64 b (*.f64 b b)))
cost-diff0
(/.f64 #s(literal -1/2 binary64) b)
cost-diff0
#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 a (*.f64 c c)) #s(literal -3/8 binary64)) (*.f64 b (*.f64 b b)))))
cost-diff640
(fma.f64 c (/.f64 #s(literal -1/2 binary64) b) (/.f64 (*.f64 (*.f64 a (*.f64 c c)) #s(literal -3/8 binary64)) (*.f64 b (*.f64 b b))))
cost-diff0
(sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))
cost-diff0
(neg.f64 b)
cost-diff0
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))) (*.f64 #s(literal 3 binary64) a))
cost-diff128
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))))
cost-diff0
(/.f64 c b)
cost-diff0
(*.f64 #s(literal -1/2 binary64) (/.f64 c b))
cost-diff0
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))
cost-diff0
(*.f64 c (fma.f64 c (fma.f64 c (fma.f64 #s(literal -1/6 binary64) (/.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)) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 a #s(literal -3/8 binary64)) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1/2 binary64) b)))
cost-diff0
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (fma.f64 c (fma.f64 c (fma.f64 #s(literal -1/6 binary64) (/.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)) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 a #s(literal -3/8 binary64)) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1/2 binary64) b))))
cost-diff320
(fma.f64 #s(literal -1/6 binary64) (/.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)) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64))))
cost-diff704
(/.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))
Rules
7 520×lower-fma.f32
7 508×lower-fma.f64
4 422×lower-*.f32
4 390×lower-*.f64
4 034×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066658
0113639
1221630
2566625
31759623
44332567
56210566
08054559
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (fma.f64 c (fma.f64 c (fma.f64 #s(literal -1/6 binary64) (/.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)) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 a #s(literal -3/8 binary64)) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1/2 binary64) b))))
(*.f64 c (fma.f64 c (fma.f64 c (fma.f64 #s(literal -1/6 binary64) (/.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)) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 a #s(literal -3/8 binary64)) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1/2 binary64) b)))
c
(fma.f64 c (fma.f64 c (fma.f64 #s(literal -1/6 binary64) (/.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)) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 a #s(literal -3/8 binary64)) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1/2 binary64) b))
(fma.f64 c (fma.f64 #s(literal -1/6 binary64) (/.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)) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 a #s(literal -3/8 binary64)) (*.f64 b (*.f64 b b))))
(fma.f64 #s(literal -1/6 binary64) (/.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)) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64))))
#s(literal -1/6 binary64)
(/.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))
(*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) c))
(/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64)))
(pow.f64 a #s(literal 4 binary64))
a
#s(literal 4 binary64)
(pow.f64 b #s(literal 6 binary64))
b
#s(literal 6 binary64)
(*.f64 #s(literal 405/64 binary64) c)
#s(literal 405/64 binary64)
(*.f64 a b)
(/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))
(*.f64 (*.f64 a a) #s(literal -9/16 binary64))
(*.f64 a a)
#s(literal -9/16 binary64)
(pow.f64 b #s(literal 5 binary64))
#s(literal 5 binary64)
(/.f64 (*.f64 a #s(literal -3/8 binary64)) (*.f64 b (*.f64 b b)))
(*.f64 a #s(literal -3/8 binary64))
#s(literal -3/8 binary64)
(*.f64 b (*.f64 b b))
(*.f64 b b)
(/.f64 #s(literal -1/2 binary64) 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 #s(literal -1/2 binary64) (/.f64 c b))
#s(literal -1/2 binary64)
(/.f64 c b)
c
b
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))) (*.f64 #s(literal 3 binary64) a))
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))))
(neg.f64 b)
b
(sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))
(fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))
(*.f64 a (*.f64 #s(literal -3 binary64) c))
a
(*.f64 #s(literal -3 binary64) c)
#s(literal -3 binary64)
c
(*.f64 #s(literal 3 binary64) a)
#s(literal 3 binary64)
#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 a (*.f64 c c)) #s(literal -3/8 binary64)) (*.f64 b (*.f64 b b)))))
(fma.f64 c (/.f64 #s(literal -1/2 binary64) b) (/.f64 (*.f64 (*.f64 a (*.f64 c c)) #s(literal -3/8 binary64)) (*.f64 b (*.f64 b b))))
c
(/.f64 #s(literal -1/2 binary64) b)
#s(literal -1/2 binary64)
b
(/.f64 (*.f64 (*.f64 a (*.f64 c c)) #s(literal -3/8 binary64)) (*.f64 b (*.f64 b b)))
(*.f64 (*.f64 a (*.f64 c c)) #s(literal -3/8 binary64))
(*.f64 a (*.f64 c c))
a
(*.f64 c c)
#s(literal -3/8 binary64)
(*.f64 b (*.f64 b b))
(*.f64 b b)
(/.f64 (-.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) (*.f64 #s(literal 3 binary64) a))
(-.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))
(/.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))
(fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))
a
(*.f64 #s(literal -3 binary64) c)
#s(literal -3 binary64)
c
(*.f64 b b)
b
(+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))
(sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))
(/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))
(*.f64 #s(literal 3 binary64) a)
#s(literal 3 binary64)
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (fma.f64 c (fma.f64 c (fma.f64 #s(literal -1/6 binary64) (/.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)) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 a #s(literal -3/8 binary64)) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1/2 binary64) b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (fma.f64 c (fma.f64 c (fma.f64 (*.f64 a a) (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 c #s(literal -135/128 binary64))) (*.f64 a (pow.f64 b #s(literal 7 binary64))))) (/.f64 (*.f64 a #s(literal -3/8 binary64)) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1/2 binary64) b))))
(*.f64 c (fma.f64 c (fma.f64 c (fma.f64 #s(literal -1/6 binary64) (/.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)) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 a #s(literal -3/8 binary64)) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1/2 binary64) b)))
(*.f64 c (fma.f64 c (fma.f64 c (fma.f64 (*.f64 a a) (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 c #s(literal -135/128 binary64))) (*.f64 a (pow.f64 b #s(literal 7 binary64))))) (/.f64 (*.f64 a #s(literal -3/8 binary64)) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1/2 binary64) b)))
c
(fma.f64 c (fma.f64 c (fma.f64 #s(literal -1/6 binary64) (/.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)) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 a #s(literal -3/8 binary64)) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1/2 binary64) b))
(fma.f64 c (fma.f64 c (fma.f64 (*.f64 a a) (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 c #s(literal -135/128 binary64))) (*.f64 a (pow.f64 b #s(literal 7 binary64))))) (/.f64 (*.f64 a #s(literal -3/8 binary64)) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1/2 binary64) b))
(fma.f64 c (fma.f64 #s(literal -1/6 binary64) (/.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)) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 a #s(literal -3/8 binary64)) (*.f64 b (*.f64 b b))))
(fma.f64 c (fma.f64 (*.f64 a a) (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 c #s(literal -135/128 binary64))) (*.f64 a (pow.f64 b #s(literal 7 binary64))))) (/.f64 (*.f64 a #s(literal -3/8 binary64)) (*.f64 b (*.f64 b b))))
(fma.f64 #s(literal -1/6 binary64) (/.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)) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64))))
(fma.f64 (*.f64 a a) (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 c #s(literal -135/128 binary64))) (*.f64 a (pow.f64 b #s(literal 7 binary64)))))
#s(literal -1/6 binary64)
(/.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))
(/.f64 (*.f64 c (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 405/64 binary64))) (*.f64 a (pow.f64 b #s(literal 7 binary64))))
(*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) c))
(/.f64 (*.f64 c (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 405/64 binary64))) (pow.f64 b #s(literal 6 binary64)))
(/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64)))
(pow.f64 a #s(literal 4 binary64))
a
#s(literal 4 binary64)
(pow.f64 b #s(literal 6 binary64))
b
#s(literal 6 binary64)
(*.f64 #s(literal 405/64 binary64) c)
(*.f64 c #s(literal 405/64 binary64))
#s(literal 405/64 binary64)
(*.f64 a b)
(*.f64 b a)
(/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))
(/.f64 (*.f64 a (*.f64 a #s(literal -9/16 binary64))) (pow.f64 b #s(literal 5 binary64)))
(*.f64 (*.f64 a a) #s(literal -9/16 binary64))
(*.f64 a (*.f64 a #s(literal -9/16 binary64)))
(*.f64 a a)
#s(literal -9/16 binary64)
(pow.f64 b #s(literal 5 binary64))
#s(literal 5 binary64)
(/.f64 (*.f64 a #s(literal -3/8 binary64)) (*.f64 b (*.f64 b b)))
(*.f64 a #s(literal -3/8 binary64))
#s(literal -3/8 binary64)
(*.f64 b (*.f64 b b))
(*.f64 b b)
(/.f64 #s(literal -1/2 binary64) 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 #s(literal -1/2 binary64) (/.f64 c b))
#s(literal -1/2 binary64)
(/.f64 c b)
c
b
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) (*.f64 #s(literal 3 binary64) a))
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))))
(-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64))))) b)
(neg.f64 b)
b
(sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))
(sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64)))))
(fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))
(fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64))))
(*.f64 a (*.f64 #s(literal -3 binary64) c))
(*.f64 a (*.f64 c #s(literal -3 binary64)))
a
(*.f64 #s(literal -3 binary64) c)
(*.f64 c #s(literal -3 binary64))
#s(literal -3 binary64)
c
(*.f64 #s(literal 3 binary64) a)
#s(literal 3 binary64)
#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 a (*.f64 c c)) #s(literal -3/8 binary64)) (*.f64 b (*.f64 b b)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) (fma.f64 a (*.f64 c (/.f64 #s(literal -3/8 binary64) (*.f64 b b))) #s(literal -1/2 binary64))))
(fma.f64 c (/.f64 #s(literal -1/2 binary64) b) (/.f64 (*.f64 (*.f64 a (*.f64 c c)) #s(literal -3/8 binary64)) (*.f64 b (*.f64 b b))))
(*.f64 (/.f64 c b) (fma.f64 a (*.f64 c (/.f64 #s(literal -3/8 binary64) (*.f64 b b))) #s(literal -1/2 binary64)))
c
(/.f64 #s(literal -1/2 binary64) b)
#s(literal -1/2 binary64)
b
(/.f64 (*.f64 (*.f64 a (*.f64 c c)) #s(literal -3/8 binary64)) (*.f64 b (*.f64 b b)))
(/.f64 (*.f64 a (*.f64 c (*.f64 c #s(literal -3/8 binary64)))) (*.f64 b (*.f64 b b)))
(*.f64 (*.f64 a (*.f64 c c)) #s(literal -3/8 binary64))
(*.f64 a (*.f64 c (*.f64 c #s(literal -3/8 binary64))))
(*.f64 a (*.f64 c c))
a
(*.f64 c c)
#s(literal -3/8 binary64)
(*.f64 b (*.f64 b b))
(*.f64 b b)
(/.f64 (-.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) (*.f64 #s(literal 3 binary64) a))
(/.f64 c (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64)))))))
(-.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))
(/.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64)))))))
(/.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))
(/.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64)))) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64)))))))
(fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))
(fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64))))
a
(*.f64 #s(literal -3 binary64) c)
(*.f64 c #s(literal -3 binary64))
#s(literal -3 binary64)
c
(*.f64 b b)
b
(+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))
(+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64))))))
(sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))
(sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64)))))
(/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))
(/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64)))))))
(*.f64 #s(literal 3 binary64) a)
#s(literal 3 binary64)

localize344.0ms (2.4%)

Memory
3.1MiB live, 363.0MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy99.8%
(/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))
accuracy99.7%
(/.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))
accuracy99.4%
(/.f64 (-.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) (*.f64 #s(literal 3 binary64) a))
accuracy18.3%
(-.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))
accuracy99.6%
(*.f64 (*.f64 a (*.f64 c c)) #s(literal -3/8 binary64))
accuracy99.6%
(*.f64 b (*.f64 b b))
accuracy99.5%
(/.f64 (*.f64 (*.f64 a (*.f64 c c)) #s(literal -3/8 binary64)) (*.f64 b (*.f64 b b)))
accuracy95.8%
#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 a (*.f64 c c)) #s(literal -3/8 binary64)) (*.f64 b (*.f64 b b)))))
accuracy99.9%
(sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))
accuracy99.6%
(*.f64 a (*.f64 #s(literal -3 binary64) c))
accuracy99.4%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))) (*.f64 #s(literal 3 binary64) a))
accuracy18.3%
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))))
accuracy100.0%
(/.f64 c b)
accuracy100.0%
(*.f64 #s(literal -1/2 binary64) (/.f64 c b))
accuracy90.3%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))
accuracy99.4%
(*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) c))
accuracy99.4%
(/.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))
accuracy99.4%
(/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))
accuracy98.3%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (fma.f64 c (fma.f64 c (fma.f64 #s(literal -1/6 binary64) (/.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)) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 a #s(literal -3/8 binary64)) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1/2 binary64) b))))
Samples
192.0ms209×1valid
20.0ms47×0valid
Compiler

Compiled 616 to 66 computations (89.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 143.0ms
ival-mult: 35.0ms (24.4% of total)
ival-div: 32.0ms (22.3% of total)
ival-add: 27.0ms (18.8% of total)
adjust: 19.0ms (13.3% of total)
ival-sqrt: 10.0ms (7% of total)
ival-pow: 10.0ms (7% of total)
ival-sub: 4.0ms (2.8% of total)
const: 4.0ms (2.8% of total)
exact: 1.0ms (0.7% of total)
ival-neg: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series145.0ms (1%)

Memory
-13.2MiB live, 139.4MiB allocated
Counts
25 → 768
Calls
Call 1
Inputs
#s(alt (/.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)) (patch (/.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)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -1/6 binary64) (/.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)) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) (patch (fma.f64 #s(literal -1/6 binary64) (/.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)) (/.f64 (*.f64 (*.f64 a a) #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)) (*.f64 c (fma.f64 c (fma.f64 c (fma.f64 #s(literal -1/6 binary64) (/.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)) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 a #s(literal -3/8 binary64)) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1/2 binary64) b)))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (fma.f64 c (fma.f64 c (fma.f64 #s(literal -1/6 binary64) (/.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)) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 a #s(literal -3/8 binary64)) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1/2 binary64) b)))) #<representation binary64>) () ())
#s(alt (*.f64 c (fma.f64 c (fma.f64 c (fma.f64 #s(literal -1/6 binary64) (/.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)) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 a #s(literal -3/8 binary64)) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1/2 binary64) b))) (patch (*.f64 c (fma.f64 c (fma.f64 c (fma.f64 #s(literal -1/6 binary64) (/.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)) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 a #s(literal -3/8 binary64)) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1/2 binary64) b))) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal -1/2 binary64) (/.f64 c b)) (patch (*.f64 #s(literal -1/2 binary64) (/.f64 c b)) #<representation binary64>) () ())
#s(alt (/.f64 c b) (patch (/.f64 c b) #<representation binary64>) () ())
#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())
#s(alt (neg.f64 b) (patch (neg.f64 b) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) (patch (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) #<representation binary64>) () ())
#s(alt (fma.f64 c (/.f64 #s(literal -1/2 binary64) b) (/.f64 (*.f64 (*.f64 a (*.f64 c c)) #s(literal -3/8 binary64)) (*.f64 b (*.f64 b b)))) (patch (fma.f64 c (/.f64 #s(literal -1/2 binary64) b) (/.f64 (*.f64 (*.f64 a (*.f64 c c)) #s(literal -3/8 binary64)) (*.f64 b (*.f64 b b)))) #<representation binary64>) () ())
#s(alt #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 a (*.f64 c c)) #s(literal -3/8 binary64)) (*.f64 b (*.f64 b b))))) (patch #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 a (*.f64 c c)) #s(literal -3/8 binary64)) (*.f64 b (*.f64 b 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 (*.f64 (*.f64 a (*.f64 c c)) #s(literal -3/8 binary64)) (*.f64 b (*.f64 b b))) (patch (/.f64 (*.f64 (*.f64 a (*.f64 c c)) #s(literal -3/8 binary64)) (*.f64 b (*.f64 b b))) #<representation binary64>) () ())
#s(alt (-.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) (patch (-.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (-.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (patch (/.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) #<representation binary64>) () ())
#s(alt (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (patch (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64))) (patch (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) c)) (patch (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) c)) #<representation binary64>) () ())
#s(alt (*.f64 a (*.f64 #s(literal -3 binary64) c)) (patch (*.f64 a (*.f64 #s(literal -3 binary64) c)) #<representation binary64>) () ())
#s(alt (*.f64 b (*.f64 b b)) (patch (*.f64 b (*.f64 b b)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 a (*.f64 c c)) #s(literal -3/8 binary64)) (patch (*.f64 (*.f64 a (*.f64 c c)) #s(literal -3/8 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (patch (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) #<representation binary64>) () ())
Outputs
#s(alt (* 405/64 (/ (* (pow a 3) c) (pow b 7))) (taylor 0 a) (#s(alt (/.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)) (patch (/.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)) #<representation binary64>) () ())) ())
#s(alt (* 405/64 (/ (* (pow a 3) c) (pow b 7))) (taylor 0 a) (#s(alt (/.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)) (patch (/.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)) #<representation binary64>) () ())) ())
#s(alt (* 405/64 (/ (* (pow a 3) c) (pow b 7))) (taylor 0 a) (#s(alt (/.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)) (patch (/.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)) #<representation binary64>) () ())) ())
#s(alt (* 405/64 (/ (* (pow a 3) c) (pow b 7))) (taylor 0 a) (#s(alt (/.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)) (patch (/.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)) #<representation binary64>) () ())) ())
#s(alt (* 405/64 (/ (* (pow a 3) c) (pow b 7))) (taylor inf a) (#s(alt (/.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)) (patch (/.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)) #<representation binary64>) () ())) ())
#s(alt (* 405/64 (/ (* (pow a 3) c) (pow b 7))) (taylor inf a) (#s(alt (/.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)) (patch (/.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)) #<representation binary64>) () ())) ())
#s(alt (* 405/64 (/ (* (pow a 3) c) (pow b 7))) (taylor inf a) (#s(alt (/.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)) (patch (/.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)) #<representation binary64>) () ())) ())
#s(alt (* 405/64 (/ (* (pow a 3) c) (pow b 7))) (taylor inf a) (#s(alt (/.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)) (patch (/.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)) #<representation binary64>) () ())) ())
#s(alt (* 405/64 (/ (* (pow a 3) c) (pow b 7))) (taylor -inf a) (#s(alt (/.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)) (patch (/.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)) #<representation binary64>) () ())) ())
#s(alt (* 405/64 (/ (* (pow a 3) c) (pow b 7))) (taylor -inf a) (#s(alt (/.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)) (patch (/.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)) #<representation binary64>) () ())) ())
#s(alt (* 405/64 (/ (* (pow a 3) c) (pow b 7))) (taylor -inf a) (#s(alt (/.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)) (patch (/.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)) #<representation binary64>) () ())) ())
#s(alt (* 405/64 (/ (* (pow a 3) c) (pow b 7))) (taylor -inf a) (#s(alt (/.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)) (patch (/.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)) #<representation binary64>) () ())) ())
#s(alt (* 405/64 (/ (* (pow a 3) c) (pow b 7))) (taylor 0 b) (#s(alt (/.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)) (patch (/.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)) #<representation binary64>) () ())) ())
#s(alt (* 405/64 (/ (* (pow a 3) c) (pow b 7))) (taylor 0 b) (#s(alt (/.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)) (patch (/.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)) #<representation binary64>) () ())) ())
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#s(alt (+ (* 1/2 b) (* a (- (* 9/16 (/ (* a (pow c 2)) (pow b 3))) (* -3/8 (/ c b))))) (taylor 0 a) (#s(alt (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (patch (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 b) (* a (- (* a (- (* -1 (* a (+ (* -27/32 (/ (pow c 3) (pow b 5))) (* -27/128 (/ (pow c 3) (pow b 5)))))) (* -9/16 (/ (pow c 2) (pow b 3))))) (* -3/8 (/ c b))))) (taylor 0 a) (#s(alt (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (patch (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3))) (taylor inf a) (#s(alt (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (patch (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (/ (pow b 3) (* c (pow (sqrt -3) 2)))) (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -3)))) a) (taylor inf a) (#s(alt (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (patch (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 4) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 4) (pow (sqrt -3) 3))))) (pow a 2))) (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -3)))) (/ (pow b 3) (* c (pow (sqrt -3) 2)))) a) (taylor inf a) (#s(alt (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (patch (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 4) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 4) (pow (sqrt -3) 3)))))) (sqrt -3)))) (* -1/2 (/ (* (pow a 2) (pow b 5)) (* (pow c 2) (pow (sqrt -3) 4))))) (pow a 3))) (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -3)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (/ (pow b 3) (* c (pow (sqrt -3) 2)))))) a) (taylor inf a) (#s(alt (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (patch (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (taylor -inf a) (#s(alt (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (patch (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ (pow b 3) (* c (pow (sqrt 3) 2)))) (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) a)) (taylor -inf a) (#s(alt (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (patch (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) (* -1 (/ (* a (pow b 3)) (* c (pow (sqrt 3) 2))))) a)) (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) a)) (taylor -inf a) (#s(alt (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (patch (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (* -1/2 (/ (* a (pow b 5)) (* (pow c 2) (pow (sqrt 3) 4))))) (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))))) a)) (* -1 (/ (* a (pow b 3)) (* c (pow (sqrt 3) 2))))) a)) (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) a)) (taylor -inf a) (#s(alt (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (patch (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 b) (taylor 0 c) (#s(alt (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (patch (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (+ (* 3/8 (/ (* a c) b)) (* 1/2 b)) (taylor 0 c) (#s(alt (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (patch (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 b) (* c (- (* 9/16 (/ (* (pow a 2) c) (pow b 3))) (* -3/8 (/ a b))))) (taylor 0 c) (#s(alt (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (patch (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 b) (* c (- (* c (- (* -1 (* c (+ (* -27/32 (/ (pow a 3) (pow b 5))) (* -27/128 (/ (pow a 3) (pow b 5)))))) (* -9/16 (/ (pow a 2) (pow b 3))))) (* -3/8 (/ a b))))) (taylor 0 c) (#s(alt (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (patch (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3))) (taylor inf c) (#s(alt (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (patch (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (/ (pow b 3) (* a (pow (sqrt -3) 2)))) (* (sqrt (/ c a)) (/ (pow b 2) (sqrt -3)))) c) (taylor inf c) (#s(alt (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (patch (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 4) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 4) (pow (sqrt -3) 3))))) (pow c 2))) (* (sqrt (/ c a)) (/ (pow b 2) (sqrt -3)))) (/ (pow b 3) (* a (pow (sqrt -3) 2)))) c) (taylor inf c) (#s(alt (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (patch (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 4) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 4) (pow (sqrt -3) 3)))))) (sqrt -3)))) (* -1/2 (/ (* (pow b 5) (pow c 2)) (* (pow a 2) (pow (sqrt -3) 4))))) (pow c 3))) (* (sqrt (/ c a)) (/ (pow b 2) (sqrt -3)))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 4) (pow (sqrt -3) 3)))) (/ (pow b 3) (* a (pow (sqrt -3) 2)))))) c) (taylor inf c) (#s(alt (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (patch (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (taylor -inf c) (#s(alt (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (patch (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ (pow b 3) (* a (pow (sqrt 3) 2)))) (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) c)) (taylor -inf c) (#s(alt (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (patch (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) (* -1 (/ (* (pow b 3) c) (* a (pow (sqrt 3) 2))))) c)) (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) c)) (taylor -inf c) (#s(alt (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (patch (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (* -1/2 (/ (* (pow b 5) c) (* (pow a 2) (pow (sqrt 3) 4))))) (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))))) c)) (* -1 (/ (* (pow b 3) c) (* a (pow (sqrt 3) 2))))) c)) (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) c)) (taylor -inf c) (#s(alt (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (patch (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) #<representation binary64>) () ())) ())
Calls

192 calls:

TimeVariablePointExpression
7.0ms
c
@0
(* c (+ (* c (+ (* c (+ (* -1/6 (/ (* (/ (pow a 4) (pow b 6)) (* 405/64 c)) (* a b))) (/ (* (* a a) -9/16) (pow b 5)))) (/ (* a -3/8) (* b (* b b))))) (/ -1/2 b)))
5.0ms
a
@0
(+ (* c (/ -1/2 b)) (/ (* (* a (* c c)) -3/8) (* b (* b b))))
4.0ms
c
@inf
(/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a))
4.0ms
b
@0
(/ (* (/ (pow a 4) (pow b 6)) (* 405/64 c)) (* a b))
2.0ms
c
@0
(- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))))

simplify464.0ms (3.2%)

Memory
49.4MiB live, 467.3MiB allocated
Algorithm
egg-herbie
Rules
7 722×lower-*.f64
7 722×lower-*.f32
6 054×lower-fma.f64
6 054×lower-fma.f32
3 090×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0170616956
1573516440
0818915879
Stop Event
iter limit
node limit
Counts
768 → 765
Calls
Call 1
Inputs
(* 405/64 (/ (* (pow a 3) c) (pow b 7)))
(* 405/64 (/ (* (pow a 3) c) (pow b 7)))
(* 405/64 (/ (* (pow a 3) c) (pow b 7)))
(* 405/64 (/ (* (pow a 3) c) (pow b 7)))
(* 405/64 (/ (* (pow a 3) c) (pow b 7)))
(* 405/64 (/ (* (pow a 3) c) (pow b 7)))
(* 405/64 (/ (* (pow a 3) c) (pow b 7)))
(* 405/64 (/ (* (pow a 3) c) (pow b 7)))
(* 405/64 (/ (* (pow a 3) c) (pow b 7)))
(* 405/64 (/ (* (pow a 3) c) (pow b 7)))
(* 405/64 (/ (* (pow a 3) c) (pow b 7)))
(* 405/64 (/ (* (pow a 3) c) (pow b 7)))
(* 405/64 (/ (* (pow a 3) c) (pow b 7)))
(* 405/64 (/ (* (pow a 3) c) (pow b 7)))
(* 405/64 (/ (* (pow a 3) c) (pow b 7)))
(* 405/64 (/ (* (pow a 3) c) (pow b 7)))
(* 405/64 (/ (* (pow a 3) c) (pow b 7)))
(* 405/64 (/ (* (pow a 3) c) (pow b 7)))
(* 405/64 (/ (* (pow a 3) c) (pow b 7)))
(* 405/64 (/ (* (pow a 3) c) (pow b 7)))
(* 405/64 (/ (* (pow a 3) c) (pow b 7)))
(* 405/64 (/ (* (pow a 3) c) (pow b 7)))
(* 405/64 (/ (* (pow a 3) c) (pow b 7)))
(* 405/64 (/ (* (pow a 3) c) (pow b 7)))
(* 405/64 (/ (* (pow a 3) c) (pow b 7)))
(* 405/64 (/ (* (pow a 3) c) (pow b 7)))
(* 405/64 (/ (* (pow a 3) c) (pow b 7)))
(* 405/64 (/ (* (pow a 3) c) (pow b 7)))
(* 405/64 (/ (* (pow a 3) c) (pow b 7)))
(* 405/64 (/ (* (pow a 3) c) (pow b 7)))
(* 405/64 (/ (* (pow a 3) c) (pow b 7)))
(* 405/64 (/ (* (pow a 3) c) (pow b 7)))
(* 405/64 (/ (* (pow a 3) c) (pow b 7)))
(* 405/64 (/ (* (pow a 3) c) (pow b 7)))
(* 405/64 (/ (* (pow a 3) c) (pow b 7)))
(* 405/64 (/ (* (pow a 3) c) (pow b 7)))
(* -9/16 (/ (pow a 2) (pow b 5)))
(* (pow a 2) (- (* -135/128 (/ (* a c) (pow b 7))) (* 9/16 (/ 1 (pow b 5)))))
(* (pow a 2) (- (* -135/128 (/ (* a c) (pow b 7))) (* 9/16 (/ 1 (pow b 5)))))
(* (pow a 2) (- (* -135/128 (/ (* a c) (pow b 7))) (* 9/16 (/ 1 (pow b 5)))))
(* -135/128 (/ (* (pow a 3) c) (pow b 7)))
(* (pow a 3) (- (* -135/128 (/ c (pow b 7))) (* 9/16 (/ 1 (* a (pow b 5))))))
(* (pow a 3) (- (* -135/128 (/ c (pow b 7))) (* 9/16 (/ 1 (* a (pow b 5))))))
(* (pow a 3) (- (* -135/128 (/ c (pow b 7))) (* 9/16 (/ 1 (* a (pow b 5))))))
(* -135/128 (/ (* (pow a 3) c) (pow b 7)))
(* -1 (* (pow a 3) (+ (* 135/128 (/ c (pow b 7))) (* 9/16 (/ 1 (* a (pow b 5)))))))
(* -1 (* (pow a 3) (+ (* 135/128 (/ c (pow b 7))) (* 9/16 (/ 1 (* a (pow b 5)))))))
(* -1 (* (pow a 3) (+ (* 135/128 (/ c (pow b 7))) (* 9/16 (/ 1 (* a (pow b 5)))))))
(* -135/128 (/ (* (pow a 3) c) (pow b 7)))
(/ (+ (* -135/128 (* (pow a 3) c)) (* -9/16 (* (pow a 2) (pow b 2)))) (pow b 7))
(/ (+ (* -135/128 (* (pow a 3) c)) (* -9/16 (* (pow a 2) (pow b 2)))) (pow b 7))
(/ (+ (* -135/128 (* (pow a 3) c)) (* -9/16 (* (pow a 2) (pow b 2)))) (pow b 7))
(* -9/16 (/ (pow a 2) (pow b 5)))
(/ (+ (* -135/128 (/ (* (pow a 3) c) (pow b 2))) (* -9/16 (pow a 2))) (pow b 5))
(/ (+ (* -135/128 (/ (* (pow a 3) c) (pow b 2))) (* -9/16 (pow a 2))) (pow b 5))
(/ (+ (* -135/128 (/ (* (pow a 3) c) (pow b 2))) (* -9/16 (pow a 2))) (pow b 5))
(* -9/16 (/ (pow a 2) (pow b 5)))
(* -1 (/ (+ (* 9/16 (pow a 2)) (* 135/128 (/ (* (pow a 3) c) (pow b 2)))) (pow b 5)))
(* -1 (/ (+ (* 9/16 (pow a 2)) (* 135/128 (/ (* (pow a 3) c) (pow b 2)))) (pow b 5)))
(* -1 (/ (+ (* 9/16 (pow a 2)) (* 135/128 (/ (* (pow a 3) c) (pow b 2)))) (pow b 5)))
(* -9/16 (/ (pow a 2) (pow b 5)))
(+ (* -135/128 (/ (* (pow a 3) c) (pow b 7))) (* -9/16 (/ (pow a 2) (pow b 5))))
(+ (* -135/128 (/ (* (pow a 3) c) (pow b 7))) (* -9/16 (/ (pow a 2) (pow b 5))))
(+ (* -135/128 (/ (* (pow a 3) c) (pow b 7))) (* -9/16 (/ (pow a 2) (pow b 5))))
(* -135/128 (/ (* (pow a 3) c) (pow b 7)))
(* c (+ (* -135/128 (/ (pow a 3) (pow b 7))) (* -9/16 (/ (pow a 2) (* (pow b 5) c)))))
(* c (+ (* -135/128 (/ (pow a 3) (pow b 7))) (* -9/16 (/ (pow a 2) (* (pow b 5) c)))))
(* c (+ (* -135/128 (/ (pow a 3) (pow b 7))) (* -9/16 (/ (pow a 2) (* (pow b 5) c)))))
(* -135/128 (/ (* (pow a 3) c) (pow b 7)))
(* -1 (* c (+ (* 9/16 (/ (pow a 2) (* (pow b 5) c))) (* 135/128 (/ (pow a 3) (pow b 7))))))
(* -1 (* c (+ (* 9/16 (/ (pow a 2) (* (pow b 5) c))) (* 135/128 (/ (pow a 3) (pow b 7))))))
(* -1 (* c (+ (* 9/16 (/ (pow a 2) (* (pow b 5) c))) (* 135/128 (/ (pow a 3) (pow b 7))))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a)))))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a)))))
(* -1/2 (/ c b))
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -2/3 (/ b a))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))
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(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
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(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
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(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
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(* (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)))))))
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(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 7)))
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(* (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))))
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(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 7)))
(* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5))))))
(* (pow a 3) (+ (* -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 3) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (+ (* -9/16 (/ (pow c 3) (* a (pow b 5)))) (+ (* -1/2 (/ c (* (pow a 3) b))) (* -3/8 (/ (pow c 2) (* (pow a 2) (pow b 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 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))
(* -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)
(* -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))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a)))))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a)))))
(* -1/2 (/ c b))
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -2/3 (/ b a))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))))
(* -1/2 (/ c b))
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))
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(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(* -1/2 (/ c b))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c 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)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(* (sqrt (* a c)) (sqrt -3))
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -3)))
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3)))
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3)))
(* -3/2 (/ (* a c) b))
(/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
(* -2 b)
(* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -3/2 (/ (* a c) b))
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))))
(* (sqrt (* a c)) (sqrt -3))
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a)))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -3/2 (/ (* a c) b))
(* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b))))))))
(* (sqrt (* a c)) (sqrt -3))
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c)))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c)))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a)))))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a)))))
(* -1/2 (/ c b))
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -2/3 (/ b a))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))))
(* -1/2 (/ c b))
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(* -1/2 (/ c b))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* (sqrt (* a c)) (sqrt -3))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (* a c)) (sqrt -3)))
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))))
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5)))))))))
b
(* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 b)
(* -1 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
b
(+ b (* -3/2 (/ (* a c) b)))
(+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -3))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))
b
(+ b (* -3/2 (/ (* a c) b)))
(+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -3))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))
(* -1/2 (/ c b))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* -3/8 (/ (* a (pow c 2)) (pow b 3)))
(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))))
(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))))
(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))))
(* -3/8 (/ (* a (pow c 2)) (pow b 3)))
(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))))
(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))))
(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))))
(* -3/8 (/ (* a (pow c 2)) (pow b 3)))
(/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 3))
(/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 3))
(/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 3))
(* -1/2 (/ c b))
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)
(* -1/2 (/ c b))
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 c)) b))
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 c)) b))
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 c)) b))
(* -1/2 (/ c b))
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))
(* -3/8 (/ (* a (pow c 2)) (pow b 3)))
(* a (+ (* -1/2 (/ c (* a b))) (* -3/8 (/ (pow c 2) (pow b 3)))))
(* a (+ (* -1/2 (/ c (* a b))) (* -3/8 (/ (pow c 2) (pow b 3)))))
(* a (+ (* -1/2 (/ c (* a b))) (* -3/8 (/ (pow c 2) (pow b 3)))))
(* -3/8 (/ (* a (pow c 2)) (pow b 3)))
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b))))))
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b))))))
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b))))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a)))))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a)))))
(* -1/2 (/ c b))
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -2/3 (/ b a))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))))
(* -1/2 (/ c b))
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(* -1/2 (/ c b))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(/ -1/2 b)
(/ -1/2 b)
(/ -1/2 b)
(/ -1/2 b)
(/ -1/2 b)
(/ -1/2 b)
(/ -1/2 b)
(/ -1/2 b)
(/ -1/2 b)
(/ -1/2 b)
(/ -1/2 b)
(/ -1/2 b)
(* -3/8 (/ (* a (pow c 2)) (pow b 3)))
(* -3/8 (/ (* a (pow c 2)) (pow b 3)))
(* -3/8 (/ (* a (pow c 2)) (pow b 3)))
(* -3/8 (/ (* a (pow c 2)) (pow b 3)))
(* -3/8 (/ (* a (pow c 2)) (pow b 3)))
(* -3/8 (/ (* a (pow c 2)) (pow b 3)))
(* -3/8 (/ (* a (pow c 2)) (pow b 3)))
(* -3/8 (/ (* a (pow c 2)) (pow b 3)))
(* -3/8 (/ (* a (pow c 2)) (pow b 3)))
(* -3/8 (/ (* a (pow c 2)) (pow b 3)))
(* -3/8 (/ (* a (pow c 2)) (pow b 3)))
(* -3/8 (/ (* a (pow c 2)) (pow b 3)))
(* -3/8 (/ (* a (pow c 2)) (pow b 3)))
(* -3/8 (/ (* a (pow c 2)) (pow b 3)))
(* -3/8 (/ (* a (pow c 2)) (pow b 3)))
(* -3/8 (/ (* a (pow c 2)) (pow b 3)))
(* -3/8 (/ (* a (pow c 2)) (pow b 3)))
(* -3/8 (/ (* a (pow c 2)) (pow b 3)))
(* -3/8 (/ (* a (pow c 2)) (pow b 3)))
(* -3/8 (/ (* a (pow c 2)) (pow b 3)))
(* -3/8 (/ (* a (pow c 2)) (pow b 3)))
(* -3/8 (/ (* a (pow c 2)) (pow b 3)))
(* -3/8 (/ (* a (pow c 2)) (pow b 3)))
(* -3/8 (/ (* a (pow c 2)) (pow b 3)))
(* -3/8 (/ (* a (pow c 2)) (pow b 3)))
(* -3/8 (/ (* a (pow c 2)) (pow b 3)))
(* -3/8 (/ (* a (pow c 2)) (pow b 3)))
(* -3/8 (/ (* a (pow c 2)) (pow b 3)))
(* -3/8 (/ (* a (pow c 2)) (pow b 3)))
(* -3/8 (/ (* a (pow c 2)) (pow b 3)))
(* -3/8 (/ (* a (pow c 2)) (pow b 3)))
(* -3/8 (/ (* a (pow c 2)) (pow b 3)))
(* -3/8 (/ (* a (pow c 2)) (pow b 3)))
(* -3/8 (/ (* a (pow c 2)) (pow b 3)))
(* -3/8 (/ (* a (pow c 2)) (pow b 3)))
(* -3/8 (/ (* a (pow c 2)) (pow b 3)))
(* -3/2 (/ (* a c) b))
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* 3 (* a (+ (* -27/32 (/ (pow c 4) (pow b 7))) (* -27/128 (/ (pow c 4) (pow b 7))))))))))))
(* -3 (* (sqrt (* a c)) (/ 1 (sqrt -3))))
(+ (* -3 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (* 3 (/ b (pow (sqrt -3) 2))))
(+ (* -3 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (+ (* 3 (/ b (pow (sqrt -3) 2))) (* 3 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3))))) (pow a 2)))))
(+ (* -3 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (+ (* 3 (/ b (pow (sqrt -3) 2))) (+ (* 3 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3)))) (* -1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt -3) 4))))) (pow a 3))) (* 3 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3))))) (pow a 2))))))
(* 3 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3))))
(+ (* -3 (/ b (pow (sqrt 3) 2))) (* 3 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))))
(+ (* -1 (/ (+ (* 3 (/ (* a b) (pow (sqrt 3) 2))) (* 3 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) a))) a)) (* 3 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -3 (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) (* 3 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (* -1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt 3) 4))))) a))) a)) (* 3 (/ (* a b) (pow (sqrt 3) 2)))) a)) (* 3 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))))
(* -3/2 (/ (* a c) b))
(* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* 3 (* c (+ (* -27/32 (/ (pow a 4) (pow b 7))) (* -27/128 (/ (pow a 4) (pow b 7))))))))))))
(* -3 (* (sqrt (* a c)) (/ 1 (sqrt -3))))
(+ (* -3 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (* 3 (/ b (pow (sqrt -3) 2))))
(+ (* -3 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (+ (* 3 (/ b (pow (sqrt -3) 2))) (* 3 (/ (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3))))) (pow c 2)))))
(+ (* -3 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (+ (* 3 (/ b (pow (sqrt -3) 2))) (+ (* 3 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3)))) (* -1/2 (/ (* (pow b 3) (pow c 2)) (* a (pow (sqrt -3) 4))))) (pow c 3))) (* 3 (/ (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3))))) (pow c 2))))))
(* 3 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3))))
(+ (* -3 (/ b (pow (sqrt 3) 2))) (* 3 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))))
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(* -3 (* (sqrt (* a c)) (/ 1 (sqrt -3))))
(+ (* -3 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (* 3 (/ b (pow (sqrt -3) 2))))
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(* -3/2 (/ (* a c) b))
(/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 3 (/ (+ (* -27/32 (* (pow a 4) (pow c 4))) (* -27/128 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
(* -2 b)
(* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* 3 (/ (+ (* -3/4 (* (pow a 2) (pow c 2))) (* 3/8 (* (pow a 2) (pow c 2)))) (pow b 4)))))))
(* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (+ (* 3 (/ (+ (* -3/4 (* a (* c (+ (* -3/4 (* (pow a 2) (pow c 2))) (* 3/8 (* (pow a 2) (pow c 2))))))) (+ (* -2/9 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a c))) (* 9/16 (* (pow a 3) (pow c 3))))) (pow b 6))) (* 3 (/ (+ (* -3/4 (* (pow a 2) (pow c 2))) (* 3/8 (* (pow a 2) (pow c 2)))) (pow b 4))))))))
(* -1/2 (/ c b))
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* a (+ (* -27/32 (/ (pow c 4) (pow b 7))) (* -27/128 (/ (pow c 4) (pow b 7))))))))))
(* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3))))
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (/ b (pow (sqrt -3) 2))) a)
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (/ b (pow (sqrt -3) 2))))) a)
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3)))) (+ (* -1/2 (/ (pow b 3) (* a (* c (pow (sqrt -3) 4))))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (/ b (pow (sqrt -3) 2))))))) a)
(* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (/ b (pow (sqrt 3) 2))) a))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -1 (/ (* a b) (pow (sqrt 3) 2))) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) a))) a))) a))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -1 (/ (* a b) (pow (sqrt 3) 2))) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (* -1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt 3) 4))))) a)) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) a))) a))) a))
(* -1/2 (/ c b))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* c (+ (* -27/32 (/ (pow a 3) (pow b 7))) (* -27/128 (/ (pow a 3) (pow b 7))))))))) (* 1/2 (/ 1 b))))
(* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3))))
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (/ b (* a (pow (sqrt -3) 2))))
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(* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))
(+ (* -1 (/ b (* a (pow (sqrt 3) 2)))) (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3))))
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(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (* -1/2 (/ (* (pow b 3) c) (* (pow a 2) (pow (sqrt 3) 4))))) (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) c)) (* -1 (/ (* b c) (* a (pow (sqrt 3) 2))))) c)) (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3))))
(* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3))))
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (/ b (* a (pow (sqrt -3) 2))))
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* b (+ (* b (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))))) (/ 1 (* a (pow (sqrt -3) 2))))))
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* b (+ (* b (+ (* -1 (* b (- (* 1/2 (/ 1 (* (pow a 2) (* c (pow (sqrt -3) 4))))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3))))) (sqrt -3))))))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3))))))) (/ 1 (* a (pow (sqrt -3) 2))))))
(* -1/2 (/ 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)
(* -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))))))))))
(* 1/2 b)
(+ (* 1/2 b) (* a (- (* -3/2 (/ c b)) (* -3/8 (/ c b)))))
(+ (* 1/2 b) (* a (- (+ (* -3/2 (/ c b)) (* -1 (* a (+ (* -3/4 (/ (* c (- (* -3/2 (/ c b)) (* -3/8 (/ c b)))) (pow b 2))) (* -9/32 (/ (pow c 2) (pow b 3))))))) (* -3/8 (/ c b)))))
(+ (* 1/2 b) (* a (- (+ (* -3/2 (/ c b)) (* a (- (* -1 (* a (+ (* -9/16 (/ (* (pow c 2) (- (* -3/2 (/ c b)) (* -3/8 (/ c b)))) (pow b 4))) (+ (* -27/64 (/ (pow c 3) (pow b 5))) (* 3/4 (/ (* c (+ (* -3/4 (/ (* c (- (* -3/2 (/ c b)) (* -3/8 (/ c b)))) (pow b 2))) (* -9/32 (/ (pow c 2) (pow b 3))))) (pow b 2))))))) (+ (* -3/4 (/ (* c (- (* -3/2 (/ c b)) (* -3/8 (/ c b)))) (pow b 2))) (* -9/32 (/ (pow c 2) (pow b 3))))))) (* -3/8 (/ c b)))))
(* -3 (* (sqrt (* a c)) (/ 1 (sqrt -3))))
(- (+ (* -3 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* -3 (/ b (pow (sqrt -3) 2))))
(- (+ (* -3 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (+ (* -1 (/ (+ (* -3/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ a c)) (/ (* b (- (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -3))) (* -3 (/ (* a b) (pow (sqrt -3) 2))))) (sqrt -3)))) (pow a 2))) (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3))))) (* -3 (/ b (pow (sqrt -3) 2))))
(- (+ (* -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)))) (* (sqrt (/ a c)) (/ (* b (- (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -3))) (* -3 (/ (* a b) (pow (sqrt -3) 2))))) (sqrt -3))))) (sqrt -3)))) (* 1/2 (/ (* a (* (pow b 2) (- (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -3))) (* -3 (/ (* a b) (pow (sqrt -3) 2)))))) (* c (pow (sqrt -3) 2))))) (pow a 3))) (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3))))) (+ (* -3 (/ b (pow (sqrt -3) 2))) (+ (* -3/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* b (- (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -3))) (* -3 (/ (* a b) (pow (sqrt -3) 2))))) (sqrt -3))))))
(* 3 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3))))
(+ (* -1 (/ (- (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))) (* -3 (/ (* a b) (pow (sqrt 3) 2)))) a)) (* 3 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))))
(+ (* -1 (/ (- (+ (* 3/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (- (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))) (* -3 (/ (* a b) (pow (sqrt 3) 2)))))) (sqrt 3))) (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) (* -3 (/ (* a b) (pow (sqrt 3) 2)))) a)) (* 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)))) (* (sqrt (/ a c)) (/ (* b (* (sqrt -1) (- (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))) (* -3 (/ (* a b) (pow (sqrt 3) 2)))))) (sqrt 3)))))) (sqrt 3)))) (* -1/2 (/ (* (pow b 2) (- (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))) (* -3 (/ (* a b) (pow (sqrt 3) 2))))) (* c (pow (sqrt 3) 2))))) (+ (* 3/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* (sqrt (/ a c)) (/ (* b (* (sqrt -1) (- (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))) (* -3 (/ (* a b) (pow (sqrt 3) 2)))))) (sqrt 3))))) a)) (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* -3 (/ (* a b) (pow (sqrt 3) 2)))) a)) (* 3 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))))
(* 1/2 b)
(+ (* 1/2 b) (* c (- (* -3/2 (/ a b)) (* -3/8 (/ a b)))))
(+ (* 1/2 b) (* c (- (+ (* -3/2 (/ a b)) (* -1 (* c (+ (* -3/4 (/ (* a (- (* -3/2 (/ a b)) (* -3/8 (/ a b)))) (pow b 2))) (* -9/32 (/ (pow a 2) (pow b 3))))))) (* -3/8 (/ a b)))))
(+ (* 1/2 b) (* c (- (+ (* -3/2 (/ a b)) (* c (- (* -1 (* c (+ (* -9/16 (/ (* (pow a 2) (- (* -3/2 (/ a b)) (* -3/8 (/ a b)))) (pow b 4))) (+ (* -27/64 (/ (pow a 3) (pow b 5))) (* 3/4 (/ (* a (+ (* -3/4 (/ (* a (- (* -3/2 (/ a b)) (* -3/8 (/ a b)))) (pow b 2))) (* -9/32 (/ (pow a 2) (pow b 3))))) (pow b 2))))))) (+ (* -3/4 (/ (* a (- (* -3/2 (/ a b)) (* -3/8 (/ a b)))) (pow b 2))) (* -9/32 (/ (pow a 2) (pow b 3))))))) (* -3/8 (/ a b)))))
(* -3 (* (sqrt (* a c)) (/ 1 (sqrt -3))))
(- (+ (* -3 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* -3 (/ b (pow (sqrt -3) 2))))
(- (+ (* -3 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (+ (* -1 (/ (+ (* -3/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ c a)) (/ (* b (- (* (sqrt (/ c a)) (/ (pow b 2) (sqrt -3))) (* -3 (/ (* b c) (pow (sqrt -3) 2))))) (sqrt -3)))) (pow c 2))) (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3))))) (* -3 (/ b (pow (sqrt -3) 2))))
(- (+ (* -3 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -3/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ c a)) (/ (* b (- (* (sqrt (/ c a)) (/ (pow b 2) (sqrt -3))) (* -3 (/ (* b c) (pow (sqrt -3) 2))))) (sqrt -3))))) (sqrt -3)))) (* 1/2 (/ (* (pow b 2) (* c (- (* (sqrt (/ c a)) (/ (pow b 2) (sqrt -3))) (* -3 (/ (* b c) (pow (sqrt -3) 2)))))) (* a (pow (sqrt -3) 2))))) (pow c 3))) (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3))))) (+ (* -3 (/ b (pow (sqrt -3) 2))) (+ (* -3/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* b (- (* (sqrt (/ c a)) (/ (pow b 2) (sqrt -3))) (* -3 (/ (* b c) (pow (sqrt -3) 2))))) (sqrt -3))))))
(* 3 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3))))
(+ (* -1 (/ (- (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))) (* -3 (/ (* b c) (pow (sqrt 3) 2)))) c)) (* 3 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))))
(+ (* -1 (/ (- (+ (* 3/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (- (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))) (* -3 (/ (* b c) (pow (sqrt 3) 2)))))) (sqrt 3))) (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) (* -3 (/ (* b c) (pow (sqrt 3) 2)))) c)) (* 3 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))))
(+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (+ (* 3/2 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* (sqrt (/ c a)) (/ (* b (* (sqrt -1) (- (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))) (* -3 (/ (* b c) (pow (sqrt 3) 2)))))) (sqrt 3)))))) (sqrt 3)))) (* -1/2 (/ (* (pow b 2) (- (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))) (* -3 (/ (* b c) (pow (sqrt 3) 2))))) (* a (pow (sqrt 3) 2))))) (+ (* 3/2 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* (sqrt (/ c a)) (/ (* b (* (sqrt -1) (- (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))) (* -3 (/ (* b c) (pow (sqrt 3) 2)))))) (sqrt 3))))) c)) (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* -3 (/ (* b c) (pow (sqrt 3) 2)))) c)) (* 3 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))))
(* -3 (* (sqrt (* a c)) (/ 1 (sqrt -3))))
(+ (* -3 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (* 3 (/ b (pow (sqrt -3) 2))))
(+ (* -3 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (* b (+ (* b (- (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3))) (+ (* -3/2 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -3) 3)))) (* 3 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -3) 3))))))) (* 3 (/ 1 (pow (sqrt -3) 2))))))
(+ (* -3 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (* b (+ (* b (- (+ (* -1 (* b (+ (* 3/2 (/ 1 (* a (* c (pow (sqrt -3) 4))))) (* (sqrt (/ 1 (* a c))) (/ (- (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3))) (+ (* -3/2 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -3) 3)))) (* 3 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -3) 3)))))) (sqrt -3)))))) (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (+ (* -3/2 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -3) 3)))) (* 3 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -3) 3))))))) (* 3 (/ 1 (pow (sqrt -3) 2))))))
(* 1/2 b)
(* b (- (+ 1/2 (* -3/2 (/ (* a c) (pow b 2)))) (* -3/8 (/ (* a c) (pow b 2)))))
(* b (- (+ 1/2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -1 (/ (+ (* -3/4 (* a (* c (- (* -3/2 (* a c)) (* -3/8 (* a c)))))) (* -9/32 (* (pow a 2) (pow c 2)))) (pow b 4))))) (* -3/8 (/ (* a c) (pow b 2)))))
(* b (- (+ 1/2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -1 (/ (+ (* -9/16 (* (pow a 2) (* (pow c 2) (- (* -3/2 (* a c)) (* -3/8 (* a c)))))) (+ (* -27/64 (* (pow a 3) (pow c 3))) (* 3/4 (* a (* c (+ (* -3/4 (* a (* c (- (* -3/2 (* a c)) (* -3/8 (* a c)))))) (* -9/32 (* (pow a 2) (pow c 2))))))))) (pow b 6))))) (+ (* -3/4 (/ (* a (* c (- (* -3/2 (* a c)) (* -3/8 (* a c))))) (pow b 4))) (+ (* -3/8 (/ (* a c) (pow b 2))) (* -9/32 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* 2/3 (/ (pow b 3) (* a c)))
(* -1 (* (pow b 3) (- (* 5/2 (/ 1 (pow b 2))) (* 2/3 (/ 1 (* a c))))))
(* -1 (* (pow b 3) (- (+ (* -1 (/ (+ (* -3/4 (* a c)) (* 15/8 (* a c))) (pow b 4))) (* 5/2 (/ 1 (pow b 2)))) (* 2/3 (/ 1 (* a c))))))
(* -1 (* (pow b 3) (- (+ (* -1 (/ (+ (* -3/4 (* a (* c (+ (* -3/4 (* a c)) (* 15/8 (* a c)))))) (+ (* -2/9 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* (pow a 2) (pow c 2)))) (* 45/16 (* (pow a 2) (pow c 2))))) (pow b 6))) (* 5/2 (/ 1 (pow b 2)))) (+ (* -3/4 (/ (* a c) (pow b 4))) (+ (* 15/8 (/ (* a c) (pow b 4))) (* 2/3 (/ 1 (* a c))))))))
(pow b 2)
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(* -3 (* a c))
(* a (+ (* -3 c) (/ (pow b 2) a)))
(* a (+ (* -3 c) (/ (pow b 2) a)))
(* a (+ (* -3 c) (/ (pow b 2) a)))
(* -3 (* a c))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))
(pow b 2)
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(* -3 (* a c))
(* c (+ (* -3 a) (/ (pow b 2) c)))
(* c (+ (* -3 a) (/ (pow b 2) c)))
(* c (+ (* -3 a) (/ (pow b 2) c)))
(* -3 (* a c))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a))))
(* -3 (* a c))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(pow b 2)
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(pow b 2)
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* -9/16 (/ (pow a 2) (pow b 5)))
(* -9/16 (/ (pow a 2) (pow b 5)))
(* -9/16 (/ (pow a 2) (pow b 5)))
(* -9/16 (/ (pow a 2) (pow b 5)))
(* -9/16 (/ (pow a 2) (pow b 5)))
(* -9/16 (/ (pow a 2) (pow b 5)))
(* -9/16 (/ (pow a 2) (pow b 5)))
(* -9/16 (/ (pow a 2) (pow b 5)))
(* -9/16 (/ (pow a 2) (pow b 5)))
(* -9/16 (/ (pow a 2) (pow b 5)))
(* -9/16 (/ (pow a 2) (pow b 5)))
(* -9/16 (/ (pow a 2) (pow b 5)))
(* -9/16 (/ (pow a 2) (pow b 5)))
(* -9/16 (/ (pow a 2) (pow b 5)))
(* -9/16 (/ (pow a 2) (pow b 5)))
(* -9/16 (/ (pow a 2) (pow b 5)))
(* -9/16 (/ (pow a 2) (pow b 5)))
(* -9/16 (/ (pow a 2) (pow b 5)))
(* -9/16 (/ (pow a 2) (pow b 5)))
(* -9/16 (/ (pow a 2) (pow b 5)))
(* -9/16 (/ (pow a 2) (pow b 5)))
(* -9/16 (/ (pow a 2) (pow b 5)))
(* -9/16 (/ (pow a 2) (pow b 5)))
(* -9/16 (/ (pow a 2) (pow b 5)))
(* 405/64 (/ (* (pow a 4) c) (pow b 6)))
(* 405/64 (/ (* (pow a 4) c) (pow b 6)))
(* 405/64 (/ (* (pow a 4) c) (pow b 6)))
(* 405/64 (/ (* (pow a 4) c) (pow b 6)))
(* 405/64 (/ (* (pow a 4) c) (pow b 6)))
(* 405/64 (/ (* (pow a 4) c) (pow b 6)))
(* 405/64 (/ (* (pow a 4) c) (pow b 6)))
(* 405/64 (/ (* (pow a 4) c) (pow b 6)))
(* 405/64 (/ (* (pow a 4) c) (pow b 6)))
(* 405/64 (/ (* (pow a 4) c) (pow b 6)))
(* 405/64 (/ (* (pow a 4) c) (pow b 6)))
(* 405/64 (/ (* (pow a 4) c) (pow b 6)))
(* 405/64 (/ (* (pow a 4) c) (pow b 6)))
(* 405/64 (/ (* (pow a 4) c) (pow b 6)))
(* 405/64 (/ (* (pow a 4) c) (pow b 6)))
(* 405/64 (/ (* (pow a 4) c) (pow b 6)))
(* 405/64 (/ (* (pow a 4) c) (pow b 6)))
(* 405/64 (/ (* (pow a 4) c) (pow b 6)))
(* 405/64 (/ (* (pow a 4) c) (pow b 6)))
(* 405/64 (/ (* (pow a 4) c) (pow b 6)))
(* 405/64 (/ (* (pow a 4) c) (pow b 6)))
(* 405/64 (/ (* (pow a 4) c) (pow b 6)))
(* 405/64 (/ (* (pow a 4) c) (pow b 6)))
(* 405/64 (/ (* (pow a 4) c) (pow b 6)))
(* 405/64 (/ (* (pow a 4) c) (pow b 6)))
(* 405/64 (/ (* (pow a 4) c) (pow b 6)))
(* 405/64 (/ (* (pow a 4) c) (pow b 6)))
(* 405/64 (/ (* (pow a 4) c) (pow b 6)))
(* 405/64 (/ (* (pow a 4) c) (pow b 6)))
(* 405/64 (/ (* (pow a 4) c) (pow b 6)))
(* 405/64 (/ (* (pow a 4) c) (pow b 6)))
(* 405/64 (/ (* (pow a 4) c) (pow b 6)))
(* 405/64 (/ (* (pow a 4) c) (pow b 6)))
(* 405/64 (/ (* (pow a 4) c) (pow b 6)))
(* 405/64 (/ (* (pow a 4) c) (pow b 6)))
(* 405/64 (/ (* (pow a 4) c) (pow b 6)))
(* -3 (* a c))
(* -3 (* a c))
(* -3 (* a c))
(* -3 (* a c))
(* -3 (* a c))
(* -3 (* a c))
(* -3 (* a c))
(* -3 (* a c))
(* -3 (* a c))
(* -3 (* a c))
(* -3 (* a c))
(* -3 (* a c))
(* -3 (* a c))
(* -3 (* a c))
(* -3 (* a c))
(* -3 (* a c))
(* -3 (* a c))
(* -3 (* a c))
(* -3 (* a c))
(* -3 (* a c))
(* -3 (* a c))
(* -3 (* a c))
(* -3 (* a c))
(* -3 (* a c))
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(* -3/8 (* a (pow c 2)))
(* -3/8 (* a (pow c 2)))
(* -3/8 (* a (pow c 2)))
(* -3/8 (* a (pow c 2)))
(* -3/8 (* a (pow c 2)))
(* -3/8 (* a (pow c 2)))
(* -3/8 (* a (pow c 2)))
(* -3/8 (* a (pow c 2)))
(* -3/8 (* a (pow c 2)))
(* -3/8 (* a (pow c 2)))
(* -3/8 (* a (pow c 2)))
(* -3/8 (* a (pow c 2)))
(* -3/8 (* a (pow c 2)))
(* -3/8 (* a (pow c 2)))
(* -3/8 (* a (pow c 2)))
(* -3/8 (* a (pow c 2)))
(* -3/8 (* a (pow c 2)))
(* -3/8 (* a (pow c 2)))
(* -3/8 (* a (pow c 2)))
(* -3/8 (* a (pow c 2)))
(* -3/8 (* a (pow c 2)))
(* -3/8 (* a (pow c 2)))
(* -3/8 (* a (pow c 2)))
(* -3/8 (* a (pow c 2)))
(* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))
(* (pow b 2) (+ (* -1 (/ b (* a (* c (pow (sqrt -3) 2))))) (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))
(* (pow b 2) (+ (* b (- (* -1 (* b (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3))))))) (/ 1 (* a (* c (pow (sqrt -3) 2)))))) (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))
(* (pow b 2) (+ (* b (- (* b (- (* b (- (* 1/2 (/ 1 (* (pow a 2) (* (pow c 2) (pow (sqrt -3) 4))))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3))))) (sqrt -3)))))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3))))))) (/ 1 (* a (* c (pow (sqrt -3) 2)))))) (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))
(* 1/2 b)
(* b (+ 1/2 (* 3/8 (/ (* a c) (pow b 2)))))
(* b (- (+ 1/2 (* 9/16 (/ (* (pow a 2) (pow c 2)) (pow b 4)))) (* -3/8 (/ (* a c) (pow b 2)))))
(* b (- (+ 1/2 (* -1 (/ (+ (* -27/32 (* (pow a 3) (pow c 3))) (* -27/128 (* (pow a 3) (pow c 3)))) (pow b 6)))) (+ (* -9/16 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -3/8 (/ (* a c) (pow b 2))))))
(* 2/3 (/ (pow b 3) (* a c)))
(* -1 (* (pow b 3) (- (* 1/2 (/ 1 (pow b 2))) (* 2/3 (/ 1 (* a c))))))
(* -1 (* (pow b 3) (- (+ (* -1 (/ (+ (* -3/4 (* a c)) (* 3/8 (* a c))) (pow b 4))) (* 1/2 (/ 1 (pow b 2)))) (* 2/3 (/ 1 (* a c))))))
(* -1 (* (pow b 3) (- (+ (* -1 (/ (+ (* -3/4 (* a (* c (+ (* -3/4 (* a c)) (* 3/8 (* a c)))))) (+ (* -2/9 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* (pow a 2) (pow c 2)))) (* 9/16 (* (pow a 2) (pow c 2))))) (pow b 6))) (* 1/2 (/ 1 (pow b 2)))) (+ (* -3/4 (/ (* a c) (pow b 4))) (+ (* 3/8 (/ (* a c) (pow b 4))) (* 2/3 (/ 1 (* a c))))))))
(* 1/2 b)
(+ (* 3/8 (/ (* a c) b)) (* 1/2 b))
(+ (* 1/2 b) (* a (- (* 9/16 (/ (* a (pow c 2)) (pow b 3))) (* -3/8 (/ c b)))))
(+ (* 1/2 b) (* a (- (* a (- (* -1 (* a (+ (* -27/32 (/ (pow c 3) (pow b 5))) (* -27/128 (/ (pow c 3) (pow b 5)))))) (* -9/16 (/ (pow c 2) (pow b 3))))) (* -3/8 (/ c b)))))
(* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))
(/ (+ (* -1 (/ (pow b 3) (* c (pow (sqrt -3) 2)))) (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -3)))) a)
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 4) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 4) (pow (sqrt -3) 3))))) (pow a 2))) (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -3)))) (/ (pow b 3) (* c (pow (sqrt -3) 2)))) a)
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 4) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 4) (pow (sqrt -3) 3)))))) (sqrt -3)))) (* -1/2 (/ (* (pow a 2) (pow b 5)) (* (pow c 2) (pow (sqrt -3) 4))))) (pow a 3))) (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -3)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (/ (pow b 3) (* c (pow (sqrt -3) 2)))))) a)
(* -1 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))
(* -1 (/ (+ (* -1 (/ (pow b 3) (* c (pow (sqrt 3) 2)))) (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) a))
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) (* -1 (/ (* a (pow b 3)) (* c (pow (sqrt 3) 2))))) a)) (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) a))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (* -1/2 (/ (* a (pow b 5)) (* (pow c 2) (pow (sqrt 3) 4))))) (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))))) a)) (* -1 (/ (* a (pow b 3)) (* c (pow (sqrt 3) 2))))) a)) (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) a))
(* 1/2 b)
(+ (* 3/8 (/ (* a c) b)) (* 1/2 b))
(+ (* 1/2 b) (* c (- (* 9/16 (/ (* (pow a 2) c) (pow b 3))) (* -3/8 (/ a b)))))
(+ (* 1/2 b) (* c (- (* c (- (* -1 (* c (+ (* -27/32 (/ (pow a 3) (pow b 5))) (* -27/128 (/ (pow a 3) (pow b 5)))))) (* -9/16 (/ (pow a 2) (pow b 3))))) (* -3/8 (/ a b)))))
(* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))
(/ (+ (* -1 (/ (pow b 3) (* a (pow (sqrt -3) 2)))) (* (sqrt (/ c a)) (/ (pow b 2) (sqrt -3)))) c)
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 4) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 4) (pow (sqrt -3) 3))))) (pow c 2))) (* (sqrt (/ c a)) (/ (pow b 2) (sqrt -3)))) (/ (pow b 3) (* a (pow (sqrt -3) 2)))) c)
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 4) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 4) (pow (sqrt -3) 3)))))) (sqrt -3)))) (* -1/2 (/ (* (pow b 5) (pow c 2)) (* (pow a 2) (pow (sqrt -3) 4))))) (pow c 3))) (* (sqrt (/ c a)) (/ (pow b 2) (sqrt -3)))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 4) (pow (sqrt -3) 3)))) (/ (pow b 3) (* a (pow (sqrt -3) 2)))))) c)
(* -1 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))
(* -1 (/ (+ (* -1 (/ (pow b 3) (* a (pow (sqrt 3) 2)))) (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) c))
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) (* -1 (/ (* (pow b 3) c) (* a (pow (sqrt 3) 2))))) c)) (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) c))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (* -1/2 (/ (* (pow b 5) c) (* (pow a 2) (pow (sqrt 3) 4))))) (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))))) c)) (* -1 (/ (* (pow b 3) c) (* a (pow (sqrt 3) 2))))) c)) (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) c))
Outputs
(* 405/64 (/ (* (pow a 3) c) (pow b 7)))
(/.f64 (*.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 a (*.f64 a a)) c)) (pow.f64 b #s(literal 7 binary64)))
(* 405/64 (/ (* (pow a 3) c) (pow b 7)))
(/.f64 (*.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 a (*.f64 a a)) c)) (pow.f64 b #s(literal 7 binary64)))
(* 405/64 (/ (* (pow a 3) c) (pow b 7)))
(/.f64 (*.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 a (*.f64 a a)) c)) (pow.f64 b #s(literal 7 binary64)))
(* 405/64 (/ (* (pow a 3) c) (pow b 7)))
(/.f64 (*.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 a (*.f64 a a)) c)) (pow.f64 b #s(literal 7 binary64)))
(* 405/64 (/ (* (pow a 3) c) (pow b 7)))
(/.f64 (*.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 a (*.f64 a a)) c)) (pow.f64 b #s(literal 7 binary64)))
(* 405/64 (/ (* (pow a 3) c) (pow b 7)))
(/.f64 (*.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 a (*.f64 a a)) c)) (pow.f64 b #s(literal 7 binary64)))
(* 405/64 (/ (* (pow a 3) c) (pow b 7)))
(/.f64 (*.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 a (*.f64 a a)) c)) (pow.f64 b #s(literal 7 binary64)))
(* 405/64 (/ (* (pow a 3) c) (pow b 7)))
(/.f64 (*.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 a (*.f64 a a)) c)) (pow.f64 b #s(literal 7 binary64)))
(* 405/64 (/ (* (pow a 3) c) (pow b 7)))
(/.f64 (*.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 a (*.f64 a a)) c)) (pow.f64 b #s(literal 7 binary64)))
(* 405/64 (/ (* (pow a 3) c) (pow b 7)))
(/.f64 (*.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 a (*.f64 a a)) c)) (pow.f64 b #s(literal 7 binary64)))
(* 405/64 (/ (* (pow a 3) c) (pow b 7)))
(/.f64 (*.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 a (*.f64 a a)) c)) (pow.f64 b #s(literal 7 binary64)))
(* 405/64 (/ (* (pow a 3) c) (pow b 7)))
(/.f64 (*.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 a (*.f64 a a)) c)) (pow.f64 b #s(literal 7 binary64)))
(* 405/64 (/ (* (pow a 3) c) (pow b 7)))
(/.f64 (*.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 a (*.f64 a a)) c)) (pow.f64 b #s(literal 7 binary64)))
(* 405/64 (/ (* (pow a 3) c) (pow b 7)))
(/.f64 (*.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 a (*.f64 a a)) c)) (pow.f64 b #s(literal 7 binary64)))
(* 405/64 (/ (* (pow a 3) c) (pow b 7)))
(/.f64 (*.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 a (*.f64 a a)) c)) (pow.f64 b #s(literal 7 binary64)))
(* 405/64 (/ (* (pow a 3) c) (pow b 7)))
(/.f64 (*.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 a (*.f64 a a)) c)) (pow.f64 b #s(literal 7 binary64)))
(* 405/64 (/ (* (pow a 3) c) (pow b 7)))
(/.f64 (*.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 a (*.f64 a a)) c)) (pow.f64 b #s(literal 7 binary64)))
(* 405/64 (/ (* (pow a 3) c) (pow b 7)))
(/.f64 (*.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 a (*.f64 a a)) c)) (pow.f64 b #s(literal 7 binary64)))
(* 405/64 (/ (* (pow a 3) c) (pow b 7)))
(/.f64 (*.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 a (*.f64 a a)) c)) (pow.f64 b #s(literal 7 binary64)))
(* 405/64 (/ (* (pow a 3) c) (pow b 7)))
(/.f64 (*.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 a (*.f64 a a)) c)) (pow.f64 b #s(literal 7 binary64)))
(* 405/64 (/ (* (pow a 3) c) (pow b 7)))
(/.f64 (*.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 a (*.f64 a a)) c)) (pow.f64 b #s(literal 7 binary64)))
(* 405/64 (/ (* (pow a 3) c) (pow b 7)))
(/.f64 (*.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 a (*.f64 a a)) c)) (pow.f64 b #s(literal 7 binary64)))
(* 405/64 (/ (* (pow a 3) c) (pow b 7)))
(/.f64 (*.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 a (*.f64 a a)) c)) (pow.f64 b #s(literal 7 binary64)))
(* 405/64 (/ (* (pow a 3) c) (pow b 7)))
(/.f64 (*.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 a (*.f64 a a)) c)) (pow.f64 b #s(literal 7 binary64)))
(* 405/64 (/ (* (pow a 3) c) (pow b 7)))
(/.f64 (*.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 a (*.f64 a a)) c)) (pow.f64 b #s(literal 7 binary64)))
(* 405/64 (/ (* (pow a 3) c) (pow b 7)))
(/.f64 (*.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 a (*.f64 a a)) c)) (pow.f64 b #s(literal 7 binary64)))
(* 405/64 (/ (* (pow a 3) c) (pow b 7)))
(/.f64 (*.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 a (*.f64 a a)) c)) (pow.f64 b #s(literal 7 binary64)))
(* 405/64 (/ (* (pow a 3) c) (pow b 7)))
(/.f64 (*.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 a (*.f64 a a)) c)) (pow.f64 b #s(literal 7 binary64)))
(* 405/64 (/ (* (pow a 3) c) (pow b 7)))
(/.f64 (*.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 a (*.f64 a a)) c)) (pow.f64 b #s(literal 7 binary64)))
(* 405/64 (/ (* (pow a 3) c) (pow b 7)))
(/.f64 (*.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 a (*.f64 a a)) c)) (pow.f64 b #s(literal 7 binary64)))
(* 405/64 (/ (* (pow a 3) c) (pow b 7)))
(/.f64 (*.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 a (*.f64 a a)) c)) (pow.f64 b #s(literal 7 binary64)))
(* 405/64 (/ (* (pow a 3) c) (pow b 7)))
(/.f64 (*.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 a (*.f64 a a)) c)) (pow.f64 b #s(literal 7 binary64)))
(* 405/64 (/ (* (pow a 3) c) (pow b 7)))
(/.f64 (*.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 a (*.f64 a a)) c)) (pow.f64 b #s(literal 7 binary64)))
(* 405/64 (/ (* (pow a 3) c) (pow b 7)))
(/.f64 (*.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 a (*.f64 a a)) c)) (pow.f64 b #s(literal 7 binary64)))
(* 405/64 (/ (* (pow a 3) c) (pow b 7)))
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(* 405/64 (/ (* (pow a 3) c) (pow b 7)))
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(* -1 (* (pow b 3) (- (+ (* -1 (/ (+ (* -3/4 (* a c)) (* 3/8 (* a c))) (pow b 4))) (* 1/2 (/ 1 (pow b 2)))) (* 2/3 (/ 1 (* a c))))))
(*.f64 (-.f64 (fma.f64 #s(literal 3/8 binary64) (/.f64 (*.f64 a c) (pow.f64 b #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 b b))) (/.f64 #s(literal 2/3 binary64) (*.f64 a c))) (neg.f64 (*.f64 b (*.f64 b b))))
(* -1 (* (pow b 3) (- (+ (* -1 (/ (+ (* -3/4 (* a (* c (+ (* -3/4 (* a c)) (* 3/8 (* a c)))))) (+ (* -2/9 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* (pow a 2) (pow c 2)))) (* 9/16 (* (pow a 2) (pow c 2))))) (pow b 6))) (* 1/2 (/ 1 (pow b 2)))) (+ (* -3/4 (/ (* a c) (pow b 4))) (+ (* 3/8 (/ (* a c) (pow b 4))) (* 2/3 (/ 1 (* a c))))))))
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 (fma.f64 #s(literal -3/4 binary64) (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) #s(literal -3/8 binary64))) (fma.f64 #s(literal -2/9 binary64) (/.f64 (*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) #s(literal 405/64 binary64)) (*.f64 (*.f64 a a) (*.f64 c c))) (*.f64 (*.f64 (*.f64 a a) #s(literal 9/16 binary64)) (*.f64 c c)))) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 #s(literal -3/4 binary64) (/.f64 (*.f64 a c) (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal 3/8 binary64) (/.f64 (*.f64 a c) (pow.f64 b #s(literal 4 binary64))) (/.f64 #s(literal 2/3 binary64) (*.f64 a c))))) (neg.f64 (*.f64 b (*.f64 b b))))
(* 1/2 b)
(*.f64 b #s(literal 1/2 binary64))
(+ (* 3/8 (/ (* a c) b)) (* 1/2 b))
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(+ (* 1/2 b) (* a (- (* 9/16 (/ (* a (pow c 2)) (pow b 3))) (* -3/8 (/ c b)))))
(fma.f64 a (fma.f64 #s(literal 9/16 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b b))) (*.f64 (/.f64 c b) #s(literal 3/8 binary64))) (*.f64 b #s(literal 1/2 binary64)))
(+ (* 1/2 b) (* a (- (* a (- (* -1 (* a (+ (* -27/32 (/ (pow c 3) (pow b 5))) (* -27/128 (/ (pow c 3) (pow b 5)))))) (* -9/16 (/ (pow c 2) (pow b 3))))) (* -3/8 (/ c b)))))
(fma.f64 a (fma.f64 a (fma.f64 a (neg.f64 (*.f64 (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) #s(literal -135/128 binary64))) (*.f64 #s(literal 9/16 binary64) (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))))) (*.f64 (/.f64 c b) #s(literal 3/8 binary64))) (*.f64 b #s(literal 1/2 binary64)))
(* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 b b)) (sqrt.f64 #s(literal -3 binary64)))
(/ (+ (* -1 (/ (pow b 3) (* c (pow (sqrt -3) 2)))) (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -3)))) a)
(/.f64 (fma.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 a c)) (*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 b (*.f64 b b)) c))) a)
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 4) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 4) (pow (sqrt -3) 3))))) (pow a 2))) (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -3)))) (/ (pow b 3) (* c (pow (sqrt -3) 2)))) a)
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(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 4) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 4) (pow (sqrt -3) 3)))))) (sqrt -3)))) (* -1/2 (/ (* (pow a 2) (pow b 5)) (* (pow c 2) (pow (sqrt -3) 4))))) (pow a 3))) (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -3)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (/ (pow b 3) (* c (pow (sqrt -3) 2)))))) a)
(/.f64 (-.f64 (-.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 b b)) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (fma.f64 (/.f64 (*.f64 b (*.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))))) #s(literal -1/2 binary64))) (sqrt.f64 #s(literal -3 binary64))) (neg.f64 (sqrt.f64 (/.f64 a c))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64)))) (*.f64 (*.f64 c c) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 4 binary64))))) (*.f64 a (*.f64 a a)))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c)))))) (/.f64 (*.f64 b (*.f64 b b)) (*.f64 c #s(literal -3 binary64)))) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c)))))))) a)
(* -1 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))
(neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (/.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64)))))
(* -1 (/ (+ (* -1 (/ (pow b 3) (* c (pow (sqrt 3) 2)))) (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) a))
(neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (/.f64 a c)) (*.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 b (*.f64 b b)) c))) a))
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) (* -1 (/ (* a (pow b 3)) (* c (pow (sqrt 3) 2))))) a)) (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) a))
(neg.f64 (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (/.f64 a c))) (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 a (*.f64 c (*.f64 c c))))) #s(literal -1/2 binary64) (/.f64 (*.f64 a (*.f64 b (*.f64 b b))) (*.f64 #s(literal 3 binary64) c))) a)) a))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (* -1/2 (/ (* a (pow b 5)) (* (pow c 2) (pow (sqrt 3) 4))))) (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))))) a)) (* -1 (/ (* a (pow b 3)) (* c (pow (sqrt 3) 2))))) a)) (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) a))
(neg.f64 (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (/.f64 a c))) (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 (/.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))))) #s(literal -1/2 binary64))) (sqrt.f64 #s(literal 3 binary64))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a (pow.f64 b #s(literal 5 binary64))) (*.f64 (*.f64 c c) (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c)))))))) a)) (/.f64 (*.f64 a (*.f64 b (*.f64 b b))) (*.f64 #s(literal 3 binary64) c))) a)) a))
(* 1/2 b)
(*.f64 b #s(literal 1/2 binary64))
(+ (* 3/8 (/ (* a c) b)) (* 1/2 b))
(fma.f64 b #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal 3/8 binary64)) b))
(+ (* 1/2 b) (* c (- (* 9/16 (/ (* (pow a 2) c) (pow b 3))) (* -3/8 (/ a b)))))
(fma.f64 c (fma.f64 #s(literal 9/16 binary64) (/.f64 (*.f64 c (*.f64 a a)) (*.f64 b (*.f64 b b))) (*.f64 #s(literal 3/8 binary64) (/.f64 a b))) (*.f64 b #s(literal 1/2 binary64)))
(+ (* 1/2 b) (* c (- (* c (- (* -1 (* c (+ (* -27/32 (/ (pow a 3) (pow b 5))) (* -27/128 (/ (pow a 3) (pow b 5)))))) (* -9/16 (/ (pow a 2) (pow b 3))))) (* -3/8 (/ a b)))))
(fma.f64 c (fma.f64 c (fma.f64 (*.f64 (/.f64 (*.f64 a (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))) #s(literal -135/128 binary64)) (neg.f64 c) (*.f64 #s(literal 9/16 binary64) (/.f64 (*.f64 a a) (*.f64 b (*.f64 b b))))) (*.f64 #s(literal 3/8 binary64) (/.f64 a b))) (*.f64 b #s(literal 1/2 binary64)))
(* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 b b)) (sqrt.f64 #s(literal -3 binary64)))
(/ (+ (* -1 (/ (pow b 3) (* a (pow (sqrt -3) 2)))) (* (sqrt (/ c a)) (/ (pow b 2) (sqrt -3)))) c)
(/.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 b (*.f64 b b)) a))) c)
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 4) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 4) (pow (sqrt -3) 3))))) (pow c 2))) (* (sqrt (/ c a)) (/ (pow b 2) (sqrt -3)))) (/ (pow b 3) (* a (pow (sqrt -3) 2)))) c)
(/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 a a))))) #s(literal -1/2 binary64)) (*.f64 c c))) (fma.f64 (sqrt.f64 (/.f64 c a)) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 b (*.f64 b b)) a)))) c)
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 4) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 4) (pow (sqrt -3) 3)))))) (sqrt -3)))) (* -1/2 (/ (* (pow b 5) (pow c 2)) (* (pow a 2) (pow (sqrt -3) 4))))) (pow c 3))) (* (sqrt (/ c a)) (/ (pow b 2) (sqrt -3)))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 4) (pow (sqrt -3) 3)))) (/ (pow b 3) (* a (pow (sqrt -3) 2)))))) c)
(/.f64 (-.f64 (-.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 b b)) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (fma.f64 (/.f64 (*.f64 b (*.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 a a))))) #s(literal -1/2 binary64))) (sqrt.f64 #s(literal -3 binary64))) (neg.f64 (sqrt.f64 (/.f64 c a))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 b #s(literal 5 binary64)) (*.f64 c c))) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 4 binary64))))) (*.f64 c (*.f64 c c)))) (-.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) c)))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal -3 binary64)))) (/.f64 (*.f64 b (*.f64 b b)) (*.f64 a #s(literal -3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) c))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal -3 binary64))))))) c)
(* -1 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))
(neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (/.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64)))))
(* -1 (/ (+ (* -1 (/ (pow b 3) (* a (pow (sqrt 3) 2)))) (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) c))
(neg.f64 (/.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (/.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 b (*.f64 b b)) a))) c))
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) (* -1 (/ (* (pow b 3) c) (* a (pow (sqrt 3) 2))))) c)) (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) c))
(neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 3 binary64))) (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 c (*.f64 a (*.f64 a a))))) #s(literal -1/2 binary64) (/.f64 (*.f64 c (*.f64 b (*.f64 b b))) (*.f64 a #s(literal 3 binary64)))) c)) c))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (* -1/2 (/ (* (pow b 5) c) (* (pow a 2) (pow (sqrt 3) 4))))) (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))))) c)) (* -1 (/ (* (pow b 3) c) (* a (pow (sqrt 3) 2))))) c)) (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) c))
(neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 3 binary64))) (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 (/.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 a a))))) #s(literal -1/2 binary64))) (sqrt.f64 #s(literal 3 binary64))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 c (pow.f64 b #s(literal 5 binary64))) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 a a)))))))) c)) (/.f64 (*.f64 c (*.f64 b (*.f64 b b))) (*.f64 a #s(literal 3 binary64)))) c)) c))

rewrite569.0ms (3.9%)

Memory
7.4MiB live, 489.7MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 764×lower-*.f32
4 732×lower-*.f64
4 004×lower-fma.f32
3 992×lower-fma.f64
3 168×lower-pow.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
066443
0113408
1452399
24173399
08613399
Stop Event
iter limit
node limit
iter limit
Counts
25 → 703
Calls
Call 1
Inputs
(/.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))
(fma.f64 #s(literal -1/6 binary64) (/.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)) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (fma.f64 c (fma.f64 c (fma.f64 #s(literal -1/6 binary64) (/.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)) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 a #s(literal -3/8 binary64)) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1/2 binary64) b))))
(*.f64 c (fma.f64 c (fma.f64 c (fma.f64 #s(literal -1/6 binary64) (/.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)) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 a #s(literal -3/8 binary64)) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1/2 binary64) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))
(*.f64 #s(literal -1/2 binary64) (/.f64 c b))
(/.f64 c b)
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))) (*.f64 #s(literal 3 binary64) a))
(neg.f64 b)
(sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))
(fma.f64 c (/.f64 #s(literal -1/2 binary64) b) (/.f64 (*.f64 (*.f64 a (*.f64 c c)) #s(literal -3/8 binary64)) (*.f64 b (*.f64 b b))))
#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 a (*.f64 c c)) #s(literal -3/8 binary64)) (*.f64 b (*.f64 b b)))))
(/.f64 #s(literal -1/2 binary64) b)
(/.f64 (*.f64 (*.f64 a (*.f64 c c)) #s(literal -3/8 binary64)) (*.f64 b (*.f64 b b)))
(-.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))
(/.f64 (-.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))
(fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))
(/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))
(*.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 (*.f64 #s(literal -3 binary64) c))
(*.f64 b (*.f64 b b))
(*.f64 (*.f64 a (*.f64 c c)) #s(literal -3/8 binary64))
(/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))
Outputs
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (*.f64 a b) (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c))) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))))
(/.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (*.f64 a b))
(/.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (*.f64 a (neg.f64 b)))
(/.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (neg.f64 (*.f64 a (neg.f64 b))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 a b) (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c))) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 a b) (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c))) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 a (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 (*.f64 a b) (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c))) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))))))
(/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b)))
(/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 a b) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))))
(/.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 a (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))))) b)
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 a a) (*.f64 a a))) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (/.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 a a) (*.f64 a a))) (*.f64 a b)))
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) #s(literal 1 binary64)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b)))
(/.f64 (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 a (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))))) (neg.f64 b))
(/.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) b) a)
(/.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) #s(literal 1 binary64)) (*.f64 a b))
(/.f64 (*.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 a (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))))) (*.f64 #s(literal 405/64 binary64) c)) b)
(/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (/.f64 (*.f64 #s(literal 405/64 binary64) c) (*.f64 a b))) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))))
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 a a) (*.f64 a a))) (/.f64 (*.f64 #s(literal 405/64 binary64) c) (*.f64 a b))) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 405/64 binary64) c) (*.f64 a b))) (/.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 a a) (*.f64 a a))))
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (/.f64 #s(literal 1 binary64) (*.f64 a b))) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))))
(/.f64 (*.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (/.f64 (*.f64 #s(literal 405/64 binary64) c) b)) a)
(pow.f64 (*.f64 (/.f64 (*.f64 a b) (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c))) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (/.f64 (*.f64 a b) (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c))) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 b (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 a (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))))) #s(literal -1 binary64))
(*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (/.f64 (*.f64 #s(literal 405/64 binary64) c) (*.f64 a b))))
(*.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (/.f64 (*.f64 #s(literal 405/64 binary64) c) (*.f64 a b)))
(*.f64 (*.f64 #s(literal 405/64 binary64) c) (*.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (/.f64 #s(literal 1 binary64) (*.f64 a b))))
(*.f64 (*.f64 #s(literal 405/64 binary64) c) (/.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (*.f64 a b)))
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (/.f64 #s(literal 1 binary64) (*.f64 a b)))
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (/.f64 #s(literal 1 binary64) (*.f64 a (neg.f64 b))))
(*.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 a (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))))) (/.f64 (*.f64 #s(literal 405/64 binary64) c) b))
(*.f64 (/.f64 (*.f64 #s(literal 405/64 binary64) c) b) (/.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 a (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))))))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))))
(*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 a (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a b)) (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a b)) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))))) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 405/64 binary64)) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (*.f64 c (/.f64 #s(literal 1 binary64) (*.f64 a b))))
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 405/64 binary64)) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (/.f64 c (*.f64 a b)))
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 a (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))))) (/.f64 #s(literal 1 binary64) b))
(*.f64 (/.f64 (*.f64 #s(literal 405/64 binary64) c) (*.f64 a b)) (/.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))))
(*.f64 (/.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) b) (/.f64 (*.f64 #s(literal 405/64 binary64) c) a))
(*.f64 (/.f64 (*.f64 #s(literal 405/64 binary64) c) a) (/.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) b))
(*.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 405/64 binary64)) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) a) (/.f64 c b))
(*.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 405/64 binary64)) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) b) (/.f64 c a))
(*.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (/.f64 b (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 a (*.f64 #s(literal 405/64 binary64) c)) #s(literal -1 binary64)) (pow.f64 (/.f64 b (/.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 b (/.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))))) #s(literal -1 binary64)) (pow.f64 (/.f64 a (*.f64 #s(literal 405/64 binary64) c)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 a (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 405/64 binary64)) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))))) #s(literal -1 binary64)) (/.f64 c b))
(*.f64 (pow.f64 (/.f64 b (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 405/64 binary64)) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))))) #s(literal -1 binary64)) (pow.f64 (/.f64 a c) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 a b) (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))))
(+.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64)))
(+.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64)) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))))
(-.f64 (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b)))) #s(literal 1/36 binary64)) (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64)) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 a a) #s(literal -9/16 binary64))) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64)) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))))))
(fma.f64 a (*.f64 a (/.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64)))
(fma.f64 a (*.f64 (*.f64 a #s(literal -9/16 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64)))
(fma.f64 a (/.f64 (*.f64 a #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64)))
(fma.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (*.f64 (/.f64 (*.f64 #s(literal 405/64 binary64) c) (*.f64 a b)) #s(literal -1/6 binary64)) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))))
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a b)) #s(literal -1/6 binary64)) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))))
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))))
(fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))))
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(*.f64 c (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 405/64 binary64)) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))))
(*.f64 (*.f64 #s(literal 405/64 binary64) c) (/.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))))
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 405/64 binary64)) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) c)
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 405/64 binary64)) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (neg.f64 c))
(*.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))))
(*.f64 (neg.f64 (*.f64 #s(literal 405/64 binary64) c)) (/.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))))
(*.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 #s(literal 405/64 binary64) c) (*.f64 b (*.f64 b b))))
(*.f64 (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 405/64 binary64)) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))))) c)
(*.f64 (*.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) c) #s(literal 405/64 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 #s(literal 3 binary64) c)))
(neg.f64 (*.f64 a (*.f64 #s(literal 3 binary64) c)))
(*.f64 a (*.f64 c #s(literal -3 binary64)))
(*.f64 c (*.f64 a #s(literal -3 binary64)))
(*.f64 #s(literal 3 binary64) (neg.f64 (*.f64 a c)))
(*.f64 #s(literal -3 binary64) (*.f64 a c))
(*.f64 (*.f64 c #s(literal -3 binary64)) a)
(*.f64 (*.f64 a #s(literal 3 binary64)) (neg.f64 c))
(*.f64 (*.f64 a #s(literal -3 binary64)) c)
(*.f64 (neg.f64 c) (*.f64 a #s(literal 3 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 a (*.f64 #s(literal 3 binary64) c)))
(*.f64 (*.f64 a c) #s(literal -3 binary64))
(exp.f64 (*.f64 (log.f64 b) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 b)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 b b)) #s(literal 3/2 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b)))
(neg.f64 (*.f64 b (*.f64 b b)))
(/.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (pow.f64 (+.f64 #s(literal 0 binary64) b) #s(literal 3 binary64)))
(/.f64 (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 b (*.f64 b b))) (pow.f64 (+.f64 #s(literal 0 binary64) (fma.f64 b b (*.f64 #s(literal 0 binary64) b))) #s(literal 3 binary64)))
(pow.f64 b #s(literal 3 binary64))
(pow.f64 (*.f64 b b) #s(literal 3/2 binary64))
(pow.f64 (neg.f64 b) #s(literal 3 binary64))
(pow.f64 (pow.f64 b #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (neg.f64 b) #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 (neg.f64 b))) #s(literal 3 binary64))
(*.f64 b (*.f64 b b))
(*.f64 b (neg.f64 (*.f64 b b)))
(*.f64 (*.f64 b b) b)
(*.f64 (*.f64 b b) (neg.f64 b))
(*.f64 (*.f64 b (*.f64 b b)) #s(literal -1 binary64))
(*.f64 (neg.f64 b) (*.f64 b b))
(*.f64 (neg.f64 (*.f64 b b)) b)
(*.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b b)))
(*.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (neg.f64 b) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 b) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b)))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 (*.f64 b b)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (*.f64 (neg.f64 b) #s(literal -1 binary64)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3/2 binary64)))
(*.f64 a (*.f64 #s(literal -3/8 binary64) (*.f64 c c)))
(*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))
(*.f64 (*.f64 a #s(literal -3/8 binary64)) (*.f64 c c))
(*.f64 (*.f64 c c) (*.f64 a #s(literal -3/8 binary64)))
(*.f64 (*.f64 a (*.f64 c c)) #s(literal -3/8 binary64))
(*.f64 (*.f64 a c) (*.f64 c #s(literal -3/8 binary64)))
(*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) a)
(*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a c)) c)
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))) (*.f64 b b))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (*.f64 b b) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))))
(/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))
(/.f64 (*.f64 b b) (neg.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))))
(/.f64 (neg.f64 (*.f64 b b)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))) (*.f64 b b)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))) (*.f64 b b)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))) (*.f64 b b))))
(pow.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))) (*.f64 b b)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))) (*.f64 b b)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 b (/.f64 b (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))))
(*.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))))
(*.f64 (neg.f64 (*.f64 b b)) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))) (*.f64 b b))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) #s(literal -1 binary64)))
(*.f64 (/.f64 b (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))) b)
(*.f64 (/.f64 (*.f64 b b) (fma.f64 b (*.f64 b b) (*.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))) (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) (-.f64 (fma.f64 b b (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) (*.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))))
(*.f64 (/.f64 (*.f64 b b) (-.f64 (*.f64 b b) (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))

eval370.0ms (2.5%)

Memory
7.4MiB live, 469.3MiB allocated
Compiler

Compiled 73 451 to 4 879 computations (93.4% saved)

prune532.0ms (3.6%)

Memory
-25.7MiB live, 702.3MiB allocated
Pruning

41 alts after pruning (38 fresh and 3 done)

PrunedKeptTotal
New1 694321 726
Fresh7613
Picked235
Done000
Total1 703411 744
Accuracy
99.9%
Counts
1 744 → 41
Alt Table
Click to see full alt table
StatusAccuracyProgram
19.9%
(fma.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))) (*.f64 a #s(literal 3 binary64))) (neg.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))))))
20.9%
(fma.f64 (/.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))) (/.f64 #s(literal 1/3 binary64) a) (neg.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))))))
19.6%
(fma.f64 (/.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))) a) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))) #s(literal 3 binary64)) (neg.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))))))
19.6%
(fma.f64 (/.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))) #s(literal 3 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))) a) (neg.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))))))
19.7%
(/.f64 (fma.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))) (/.f64 (*.f64 b b) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) (*.f64 #s(literal 3 binary64) a))
20.2%
(/.f64 (fma.f64 (*.f64 b b) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) (/.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) (*.f64 #s(literal 3 binary64) a))
19.8%
(/.f64 (fma.f64 (sqrt.f64 (*.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))) (fma.f64 a (*.f64 #s(literal 3 binary64) c) (*.f64 b b)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 #s(literal 3 binary64) c) (*.f64 b b))) #s(literal 1/2 binary64)) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a))
18.6%
(/.f64 (fma.f64 (neg.f64 b) (/.f64 b (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))) (/.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) (*.f64 #s(literal 3 binary64) a))
18.4%
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b (*.f64 b b)))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a))
17.9%
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) b) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b b))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) b)) (*.f64 #s(literal 3 binary64) a))
18.1%
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) a) #s(literal 3 binary64))
18.7%
(/.f64 (-.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))) (*.f64 b b)) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))))
18.4%
(/.f64 (-.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) (*.f64 #s(literal 3 binary64) a))
19.2%
(/.f64 (-.f64 (/.f64 (/.f64 (*.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))) (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) (*.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))) (+.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))) (*.f64 b b)))) (/.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))) (+.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))) (*.f64 b b))))) (*.f64 #s(literal 3 binary64) a))
18.4%
(/.f64 (-.f64 (*.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))) (*.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) (*.f64 (*.f64 a #s(literal 3 binary64)) (*.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))))
18.2%
(/.f64 (-.f64 (*.f64 (/.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))) (*.f64 a #s(literal 3 binary64))) (*.f64 (*.f64 a #s(literal 3 binary64)) (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))))) (*.f64 (*.f64 a #s(literal 3 binary64)) (*.f64 a #s(literal 3 binary64))))
18.1%
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) (*.f64 a #s(literal 3 binary64)))
13.6%
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (+ (* b b) (* a (* -3 c)))) (fma.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 a c) b) b))) (*.f64 #s(literal 3 binary64) a))
18.7%
(/.f64 (*.f64 (-.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))) (*.f64 b b)) (/.f64 #s(literal 1/3 binary64) a)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))
18.1%
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 1/3 binary64)) a)
89.7%
(/.f64 #s(approx (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b)) (*.f64 #s(literal 3 binary64) a))
95.1%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 a (*.f64 c #s(literal -3/2 binary64)) (/.f64 (*.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (*.f64 a a)) (*.f64 b b))) b)) (*.f64 #s(literal 3 binary64) a))
18.1%
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 1/3 binary64))))
18.7%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 a #s(literal 3 binary64)) (-.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))) (*.f64 b b))) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))))
18.3%
(-.f64 (/.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))))
17.7%
(-.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) (/.f64 b (*.f64 #s(literal 3 binary64) a)))
18.1%
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 1/3 binary64)))
18.1%
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b))
18.1%
(*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))
18.1%
(*.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b)) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64))))
95.8%
#s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (/.f64 (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b))
98.2%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b (*.f64 b b))) (*.f64 c (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))))) (*.f64 c c) (/.f64 c (*.f64 b #s(literal -2 binary64)))))
95.5%
#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 a (*.f64 c c)) #s(literal -3/8 binary64)) (*.f64 b (*.f64 b b)))))
96.8%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 a (*.f64 #s(literal -3/8 binary64) (*.f64 c c))) (*.f64 (*.f64 a (*.f64 c c)) #s(literal 3/8 binary64))) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (*.f64 (*.f64 c c) (/.f64 #s(literal 1/4 binary64) (*.f64 b b)))) (-.f64 (/.f64 (*.f64 a (*.f64 #s(literal -3/8 binary64) (*.f64 c c))) (*.f64 b (*.f64 b b))) (/.f64 c (*.f64 b #s(literal -2 binary64))))))
89.9%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c)))
97.9%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 c (fma.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b (*.f64 b b))) (*.f64 c (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))))) (/.f64 #s(literal -1/2 binary64) b)) c))
90.0%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal -1/2 binary64) b) c))
95.5%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b))))
90.3%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))
95.3%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (+ (* c (/ -1/2 b)) (/ (* (* a (* c c)) -3/8) (* b (* b b)))) (*.f64 (*.f64 c c) (-.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) (*.f64 c b))))))
95.3%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (+ (* c (/ -1/2 b)) (/ (* (* a (* c c)) -3/8) (* b (* b b)))) (*.f64 a (fma.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 a b)) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b)))))))
Compiler

Compiled 2 898 to 1 280 computations (55.8% saved)

simplify347.0ms (2.4%)

Memory
23.7MiB live, 348.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))) #s(literal 3 binary64))
cost-diff128
(neg.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))))
cost-diff384
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))) a)
cost-diff4672
(fma.f64 (/.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))) #s(literal 3 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))) a) (neg.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))))))
cost-diff0
(*.f64 #s(literal -3 binary64) (*.f64 a c))
cost-diff0
(fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))
cost-diff0
(/.f64 (-.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))) (*.f64 b b)) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))))
cost-diff896
(-.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))) (*.f64 b b))
cost-diff0
(/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))
cost-diff0
(/.f64 (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b)
cost-diff0
#s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (/.f64 (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b))
cost-diff320
(fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b)))
cost-diff0
(/.f64 #s(literal -1/2 binary64) b)
cost-diff0
(*.f64 (/.f64 #s(literal -1/2 binary64) b) c)
cost-diff0
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal -1/2 binary64) b) c))
cost-diff0
(fma.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b (*.f64 b b))) (*.f64 c (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))))))
cost-diff0
(fma.f64 (fma.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b (*.f64 b b))) (*.f64 c (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))))) (*.f64 c c) (/.f64 c (*.f64 b #s(literal -2 binary64))))
cost-diff0
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b (*.f64 b b))) (*.f64 c (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))))) (*.f64 c c) (/.f64 c (*.f64 b #s(literal -2 binary64)))))
cost-diff2176
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))))
Rules
8 360×lower-fma.f32
8 348×lower-fma.f64
5 422×lower-*.f32
5 380×lower-*.f64
2 992×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
075880
0125850
1288752
2963661
34191644
45269644
08220636
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 a (/.f64 #s(literal -3/8 binary64) (*.f64 b (*.f64 b b))) (*.f64 c (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))))) (*.f64 c c) (/.f64 c (*.f64 b #s(literal -2 binary64)))))
(fma.f64 (fma.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b (*.f64 b b))) (*.f64 c (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))))) (*.f64 c c) (/.f64 c (*.f64 b #s(literal -2 binary64))))
(fma.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b (*.f64 b b))) (*.f64 c (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))))))
a
(/.f64 #s(literal -3/8 binary64) (*.f64 b (*.f64 b b)))
#s(literal -3/8 binary64)
(*.f64 b (*.f64 b b))
b
(*.f64 b b)
(*.f64 c (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))))
c
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))))
(/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b)))
(*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c))
(*.f64 (*.f64 a a) (*.f64 a a))
(*.f64 a a)
(*.f64 #s(literal 405/64 binary64) c)
#s(literal 405/64 binary64)
(*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))
(*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))
(*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))
(*.f64 a b)
#s(literal -1/6 binary64)
(/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))
(*.f64 (*.f64 a a) #s(literal -9/16 binary64))
#s(literal -9/16 binary64)
(*.f64 c c)
(/.f64 c (*.f64 b #s(literal -2 binary64)))
(*.f64 b #s(literal -2 binary64))
#s(literal -2 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal -1/2 binary64) b) c))
(*.f64 (/.f64 #s(literal -1/2 binary64) b) c)
(/.f64 #s(literal -1/2 binary64) b)
#s(literal -1/2 binary64)
b
c
#s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (/.f64 (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b))
(/.f64 (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b)
(fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b)))
c
#s(literal -1/2 binary64)
(/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))
(*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))
#s(literal -3/8 binary64)
(*.f64 a (*.f64 c c))
a
(*.f64 c c)
(*.f64 b b)
b
(/.f64 (-.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))) (*.f64 b b)) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))))
(-.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))) (*.f64 b b))
(fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))
b
(*.f64 #s(literal -3 binary64) (*.f64 a c))
#s(literal -3 binary64)
(*.f64 a c)
a
c
(*.f64 b b)
(*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))
(*.f64 a #s(literal 3 binary64))
#s(literal 3 binary64)
(+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))
(sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))
(fma.f64 (/.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))) #s(literal 3 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))) a) (neg.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))))))
(/.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))) #s(literal 3 binary64))
(fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))
b
(*.f64 #s(literal -3 binary64) (*.f64 a c))
#s(literal -3 binary64)
(*.f64 a c)
a
c
#s(literal 3 binary64)
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))) a)
(/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))
#s(literal 1 binary64)
(+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))
(sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))
(neg.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))))
(/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))))
(*.f64 b b)
(*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))
(*.f64 a #s(literal 3 binary64))
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b (*.f64 b b))) (*.f64 c (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))))) (*.f64 c c) (/.f64 c (*.f64 b #s(literal -2 binary64)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b (*.f64 b b))) (*.f64 c (*.f64 (/.f64 (*.f64 a a) (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))) (fma.f64 (/.f64 (*.f64 a a) b) (/.f64 (*.f64 c #s(literal -135/128 binary64)) (*.f64 b a)) #s(literal -9/16 binary64))))) (*.f64 c c) (/.f64 c (*.f64 b #s(literal -2 binary64)))))
(fma.f64 (fma.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b (*.f64 b b))) (*.f64 c (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))))) (*.f64 c c) (/.f64 c (*.f64 b #s(literal -2 binary64))))
(fma.f64 (fma.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b (*.f64 b b))) (*.f64 c (*.f64 (/.f64 (*.f64 a a) (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))) (fma.f64 (/.f64 (*.f64 a a) b) (/.f64 (*.f64 c #s(literal -135/128 binary64)) (*.f64 b a)) #s(literal -9/16 binary64))))) (*.f64 c c) (/.f64 c (*.f64 b #s(literal -2 binary64))))
(fma.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b (*.f64 b b))) (*.f64 c (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))))))
(fma.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b (*.f64 b b))) (*.f64 c (*.f64 (/.f64 (*.f64 a a) (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))) (fma.f64 (/.f64 (*.f64 a a) b) (/.f64 (*.f64 c #s(literal -135/128 binary64)) (*.f64 b a)) #s(literal -9/16 binary64)))))
a
(/.f64 #s(literal -3/8 binary64) (*.f64 b (*.f64 b b)))
#s(literal -3/8 binary64)
(*.f64 b (*.f64 b b))
b
(*.f64 b b)
(*.f64 c (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))))
(*.f64 c (*.f64 (/.f64 (*.f64 a a) (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))) (fma.f64 (/.f64 (*.f64 a a) b) (/.f64 (*.f64 c #s(literal -135/128 binary64)) (*.f64 b a)) #s(literal -9/16 binary64))))
c
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))))
(*.f64 (/.f64 (*.f64 a a) (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))) (fma.f64 (/.f64 (*.f64 a a) b) (/.f64 (*.f64 c #s(literal -135/128 binary64)) (*.f64 b a)) #s(literal -9/16 binary64)))
(/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b)))
(/.f64 (*.f64 a (*.f64 c (*.f64 #s(literal 405/64 binary64) (*.f64 a (*.f64 a a))))) (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b a))))))
(*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c))
(*.f64 a (*.f64 c (*.f64 #s(literal 405/64 binary64) (*.f64 a (*.f64 a a)))))
(*.f64 (*.f64 a a) (*.f64 a a))
(*.f64 a (*.f64 a (*.f64 a a)))
(*.f64 a a)
(*.f64 #s(literal 405/64 binary64) c)
(*.f64 c #s(literal 405/64 binary64))
#s(literal 405/64 binary64)
(*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))
(*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b a)))))
(*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))
(*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))
(*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))
(*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))
(*.f64 a b)
(*.f64 b a)
#s(literal -1/6 binary64)
(/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))
(/.f64 (*.f64 a (*.f64 a #s(literal -9/16 binary64))) (*.f64 b (*.f64 b (*.f64 b (*.f64 b b)))))
(*.f64 (*.f64 a a) #s(literal -9/16 binary64))
(*.f64 a (*.f64 a #s(literal -9/16 binary64)))
#s(literal -9/16 binary64)
(*.f64 c c)
(/.f64 c (*.f64 b #s(literal -2 binary64)))
(*.f64 b #s(literal -2 binary64))
#s(literal -2 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal -1/2 binary64) b) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))
(*.f64 (/.f64 #s(literal -1/2 binary64) b) c)
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b)
(/.f64 #s(literal -1/2 binary64) b)
#s(literal -1/2 binary64)
b
c
#s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (/.f64 (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b))
#s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (/.f64 (*.f64 c (fma.f64 (*.f64 a c) (/.f64 #s(literal -3/8 binary64) (*.f64 b b)) #s(literal -1/2 binary64))) b))
(/.f64 (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b)
(/.f64 (*.f64 c (fma.f64 (*.f64 a c) (/.f64 #s(literal -3/8 binary64) (*.f64 b b)) #s(literal -1/2 binary64))) b)
(fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b)))
(*.f64 c (fma.f64 (*.f64 a c) (/.f64 #s(literal -3/8 binary64) (*.f64 b b)) #s(literal -1/2 binary64)))
c
#s(literal -1/2 binary64)
(/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))
(/.f64 (*.f64 a (*.f64 #s(literal -3/8 binary64) (*.f64 c c))) (*.f64 b b))
(*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))
(*.f64 a (*.f64 #s(literal -3/8 binary64) (*.f64 c c)))
#s(literal -3/8 binary64)
(*.f64 a (*.f64 c c))
a
(*.f64 c c)
(*.f64 b b)
b
(/.f64 (-.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))) (*.f64 b b)) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))))
(/.f64 (*.f64 #s(literal 3 binary64) (*.f64 a c)) (*.f64 a (*.f64 #s(literal -3 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)))))))
(-.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))) (*.f64 b b))
(*.f64 a (*.f64 c #s(literal -3 binary64)))
(fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))
(fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))
b
(*.f64 #s(literal -3 binary64) (*.f64 a c))
(*.f64 a (*.f64 c #s(literal -3 binary64)))
#s(literal -3 binary64)
(*.f64 a c)
a
c
(*.f64 b b)
(*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))
(*.f64 #s(literal 3 binary64) (*.f64 a (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))))))
(*.f64 a #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) a)
#s(literal 3 binary64)
(+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))
(+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))))
(sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))
(sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)))
(fma.f64 (/.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))) #s(literal 3 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))) a) (neg.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))))))
(/.f64 (*.f64 #s(literal 3 binary64) (*.f64 a c)) (*.f64 a (*.f64 #s(literal -3 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)))))))
(/.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))) #s(literal 3 binary64))
(/.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)) #s(literal 3 binary64))
(fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))
(fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))
b
(*.f64 #s(literal -3 binary64) (*.f64 a c))
(*.f64 a (*.f64 c #s(literal -3 binary64)))
#s(literal -3 binary64)
(*.f64 a c)
a
c
#s(literal 3 binary64)
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))) a)
(/.f64 #s(literal 1 binary64) (*.f64 a (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))))))
(/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))
(/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)))))
#s(literal 1 binary64)
(+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))
(+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))))
(sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))
(sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)))
(neg.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))))
(/.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -3 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)))))))
(/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))))
(/.f64 (*.f64 b b) (*.f64 #s(literal 3 binary64) (*.f64 a (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)))))))
(*.f64 b b)
(*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))
(*.f64 #s(literal 3 binary64) (*.f64 a (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))))))
(*.f64 a #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) a)

localize627.0ms (4.3%)

Memory
1.1MiB live, 509.6MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy99.5%
(/.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))) #s(literal 3 binary64))
accuracy99.5%
(/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))))
accuracy99.5%
(*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))
accuracy20.2%
(fma.f64 (/.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))) #s(literal 3 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))) a) (neg.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))))))
accuracy99.5%
(*.f64 #s(literal -3 binary64) (*.f64 a c))
accuracy99.5%
(*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))
accuracy99.5%
(/.f64 (-.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))) (*.f64 b b)) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))))
accuracy18.7%
(-.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))) (*.f64 b b))
accuracy99.6%
(*.f64 a (*.f64 c c))
accuracy99.6%
(*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))
accuracy99.4%
(/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))
accuracy95.8%
#s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (/.f64 (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b))
accuracy100.0%
(/.f64 #s(literal -1/2 binary64) b)
accuracy99.6%
(*.f64 (/.f64 #s(literal -1/2 binary64) b) c)
accuracy90.3%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal -1/2 binary64) b) c))
accuracy99.4%
(/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b)))
accuracy99.4%
(/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))
accuracy99.2%
(*.f64 (*.f64 a a) (*.f64 a a))
accuracy98.3%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b (*.f64 b b))) (*.f64 c (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))))) (*.f64 c c) (/.f64 c (*.f64 b #s(literal -2 binary64)))))
Samples
460.0ms215×1valid
19.0ms41×0valid
Compiler

Compiled 823 to 78 computations (90.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 417.0ms
ival-mult: 249.0ms (59.7% of total)
adjust: 61.0ms (14.6% of total)
ival-div: 40.0ms (9.6% of total)
ival-add: 34.0ms (8.1% of total)
ival-sqrt: 18.0ms (4.3% of total)
ival-sub: 6.0ms (1.4% of total)
const: 4.0ms (1% of total)
ival-neg: 3.0ms (0.7% of total)
exact: 1.0ms (0.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series169.0ms (1.2%)

Memory
-11.8MiB live, 126.9MiB allocated
Counts
26 → 828
Calls
Call 1
Inputs
#s(alt (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (patch (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b (*.f64 b b))) (*.f64 c (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))))) (*.f64 c c) (/.f64 c (*.f64 b #s(literal -2 binary64))))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b (*.f64 b b))) (*.f64 c (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))))) (*.f64 c c) (/.f64 c (*.f64 b #s(literal -2 binary64))))) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b (*.f64 b b))) (*.f64 c (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))))) (*.f64 c c) (/.f64 c (*.f64 b #s(literal -2 binary64)))) (patch (fma.f64 (fma.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b (*.f64 b b))) (*.f64 c (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))))) (*.f64 c c) (/.f64 c (*.f64 b #s(literal -2 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b (*.f64 b b))) (*.f64 c (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))))) (patch (fma.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b (*.f64 b b))) (*.f64 c (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))))) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal -1/2 binary64) b) c)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal -1/2 binary64) b) c)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal -1/2 binary64) b) c) (patch (*.f64 (/.f64 #s(literal -1/2 binary64) b) c) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1/2 binary64) b) (patch (/.f64 #s(literal -1/2 binary64) b) #<representation binary64>) () ())
#s(alt (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) (patch (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (/.f64 (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b)) (patch #s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (/.f64 (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b) (patch (/.f64 (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b)) (patch (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b)) #<representation binary64>) () ())
#s(alt (-.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))) (*.f64 b b)) (patch (-.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))) (*.f64 b b)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))) (*.f64 b b)) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) (patch (/.f64 (-.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))) (*.f64 b b)) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) #<representation binary64>) () ())
#s(alt (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))) (patch (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal -3 binary64) (*.f64 a c)) (patch (*.f64 #s(literal -3 binary64) (*.f64 a c)) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))) #s(literal 3 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))) a) (neg.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))))) (patch (fma.f64 (/.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))) #s(literal 3 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))) a) (neg.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))))) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))) a) (patch (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))) a) #<representation binary64>) () ())
#s(alt (neg.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))))) (patch (neg.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))))) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))) #s(literal 3 binary64)) (patch (/.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 a a) (*.f64 a a)) (patch (*.f64 (*.f64 a a) (*.f64 a a)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (patch (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) (patch (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (patch (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) #<representation binary64>) () ())
#s(alt (*.f64 a (*.f64 c c)) (patch (*.f64 a (*.f64 c c)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))) (patch (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) (patch (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) #<representation binary64>) () ())
Outputs
#s(alt (* -9/16 (/ (pow a 2) (pow b 5))) (taylor 0 a) (#s(alt (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (patch (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (- (* -135/128 (/ (* a c) (pow b 7))) (* 9/16 (/ 1 (pow b 5))))) (taylor 0 a) (#s(alt (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (patch (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (- (* -135/128 (/ (* a c) (pow b 7))) (* 9/16 (/ 1 (pow b 5))))) (taylor 0 a) (#s(alt (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (patch (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (- (* -135/128 (/ (* a c) (pow b 7))) (* 9/16 (/ 1 (pow b 5))))) (taylor 0 a) (#s(alt (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (patch (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (* -135/128 (/ (* (pow a 3) c) (pow b 7))) (taylor inf a) (#s(alt (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (patch (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 3) (- (* -135/128 (/ c (pow b 7))) (* 9/16 (/ 1 (* a (pow b 5)))))) (taylor inf a) (#s(alt (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (patch (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 3) (- (* -135/128 (/ c (pow b 7))) (* 9/16 (/ 1 (* a (pow b 5)))))) (taylor inf a) (#s(alt (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (patch (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 3) (- (* -135/128 (/ c (pow b 7))) (* 9/16 (/ 1 (* a (pow b 5)))))) (taylor inf a) (#s(alt (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (patch (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (* -135/128 (/ (* (pow a 3) c) (pow b 7))) (taylor -inf a) (#s(alt (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (patch (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow a 3) (+ (* 135/128 (/ c (pow b 7))) (* 9/16 (/ 1 (* a (pow b 5))))))) (taylor -inf a) (#s(alt (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (patch (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow a 3) (+ (* 135/128 (/ c (pow b 7))) (* 9/16 (/ 1 (* a (pow b 5))))))) (taylor -inf a) (#s(alt (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (patch (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow a 3) (+ (* 135/128 (/ c (pow b 7))) (* 9/16 (/ 1 (* a (pow b 5))))))) (taylor -inf a) (#s(alt (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (patch (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (* -9/16 (/ (pow a 2) (pow b 5))) (taylor 0 c) (#s(alt (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (patch (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -135/128 (/ (* (pow a 3) c) (pow b 7))) (* -9/16 (/ (pow a 2) (pow b 5)))) (taylor 0 c) (#s(alt (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (patch (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -135/128 (/ (* (pow a 3) c) (pow b 7))) (* -9/16 (/ (pow a 2) (pow b 5)))) (taylor 0 c) (#s(alt (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (patch (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) #<representation binary64>) () ())) ())
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#s(alt (/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) (taylor inf b) (#s(alt #s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (/.f64 (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b)) (patch #s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (/.f64 (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b) (taylor inf b) (#s(alt #s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (/.f64 (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b)) (patch #s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (/.f64 (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b)) #<representation binary64>) () ())) ())
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#s(alt (* -2/3 (/ b a)) (taylor -inf b) (#s(alt #s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (/.f64 (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b)) (patch #s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (/.f64 (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) (taylor -inf b) (#s(alt #s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (/.f64 (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b)) (patch #s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (/.f64 (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b)) #<representation binary64>) () ())) ())
#s(alt (* -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))))))) (taylor -inf b) (#s(alt #s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (/.f64 (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b)) (patch #s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (/.f64 (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b)) #<representation binary64>) () ())) ())
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#s(alt (* -1/2 (/ c b)) (taylor 0 c) (#s(alt (/.f64 (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b) (patch (/.f64 (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt (/.f64 (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b) (patch (/.f64 (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt (/.f64 (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b) (patch (/.f64 (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt (/.f64 (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b) (patch (/.f64 (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* -3/8 (/ (* a (pow c 2)) (pow b 3))) (taylor inf c) (#s(alt (/.f64 (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b) (patch (/.f64 (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c))))) (taylor inf c) (#s(alt (/.f64 (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b) (patch (/.f64 (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c))))) (taylor inf c) (#s(alt (/.f64 (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b) (patch (/.f64 (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c))))) (taylor inf c) (#s(alt (/.f64 (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b) (patch (/.f64 (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* -3/8 (/ (* a (pow c 2)) (pow b 3))) (taylor -inf c) (#s(alt (/.f64 (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b) (patch (/.f64 (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c))))) (taylor -inf c) (#s(alt (/.f64 (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b) (patch (/.f64 (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c))))) (taylor -inf c) (#s(alt (/.f64 (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b) (patch (/.f64 (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c))))) (taylor -inf c) (#s(alt (/.f64 (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b) (patch (/.f64 (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ c b)) (taylor 0 a) (#s(alt (/.f64 (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b) (patch (/.f64 (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* (pow b 3) (- (+ (* -1 (/ (+ (* -1/4 c) (* 1/8 c)) (pow b 4))) (/ 1/6 (* a (pow b 2)))) (* 2/9 (/ 1 (* (pow a 2) c)))))) (taylor -inf b) (#s(alt (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) (patch (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow b 3) (- (+ (* -1 (/ (+ (* -3/4 (* a (* c (+ (* -1/4 c) (* 1/8 c))))) (+ (* -2/27 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* (pow a 3) (pow c 2)))) (* 3/16 (* a (pow c 2))))) (pow b 6))) (/ 1/6 (* a (pow b 2)))) (+ (* -1/4 (/ c (pow b 4))) (+ (* 1/8 (/ c (pow b 4))) (* 2/9 (/ 1 (* (pow a 2) c)))))))) (taylor -inf b) (#s(alt (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) (patch (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (/ b a)) (taylor 0 a) (#s(alt (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) (patch (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 1/8 (/ (* a c) b)) (* 1/6 b)) a) (taylor 0 a) (#s(alt (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) (patch (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 1/6 b) (* a (+ (* 1/8 (/ c b)) (* 3/16 (/ (* a (pow c 2)) (pow b 3)))))) a) (taylor 0 a) (#s(alt (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) (patch (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 1/6 b) (* a (+ (* 1/8 (/ c b)) (* a (+ (* -1/3 (* a (+ (* -27/32 (/ (pow c 3) (pow b 5))) (* -27/128 (/ (pow c 3) (pow b 5)))))) (* 3/16 (/ (pow c 2) (pow b 3)))))))) a) (taylor 0 a) (#s(alt (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) (patch (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (taylor inf a) (#s(alt (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) (patch (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/3 (/ (pow b 3) (* c (pow (sqrt -3) 2)))) (* 1/3 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -3))))) (pow a 2)) (taylor inf a) (#s(alt (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) (patch (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/3 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 4) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 4) (pow (sqrt -3) 3))))) (pow a 2))) (+ (* -1/3 (/ (pow b 3) (* c (pow (sqrt -3) 2)))) (* 1/3 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -3)))))) (pow a 2)) (taylor inf a) (#s(alt (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) (patch (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/3 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 4) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 4) (pow (sqrt -3) 3)))))) (sqrt -3)))) (* -1/2 (/ (* (pow a 2) (pow b 5)) (* (pow c 2) (pow (sqrt -3) 4))))) (pow a 3))) (+ (* -1/3 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 4) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 4) (pow (sqrt -3) 3))))) (pow a 2))) (+ (* -1/3 (/ (pow b 3) (* c (pow (sqrt -3) 2)))) (* 1/3 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -3))))))) (pow a 2)) (taylor inf a) (#s(alt (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) (patch (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (taylor -inf a) (#s(alt (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) (patch (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/3 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 (/ (pow b 3) (* c (pow (sqrt 3) 2))))) (pow a 2)) (taylor -inf a) (#s(alt (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) (patch (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (/ (+ (* -1/3 (/ (* a (pow b 3)) (* c (pow (sqrt 3) 2)))) (* -1/3 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a))) a)) (* -1/3 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) (pow a 2)) (taylor -inf a) (#s(alt (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) (patch (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (* -1/2 (/ (* (pow a 2) (pow b 5)) (* (pow c 2) (pow (sqrt 3) 4))))) a)) (* 1/3 (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))))) a)) (* -1/3 (/ (* a (pow b 3)) (* c (pow (sqrt 3) 2))))) a)) (* -1/3 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) (pow a 2)) (taylor -inf a) (#s(alt (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) (patch (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (/ b a)) (taylor 0 c) (#s(alt (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) (patch (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/8 (/ c b)) (* 1/6 (/ b a))) (taylor 0 c) (#s(alt (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) (patch (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/6 (/ b a)) (* c (+ (* 3/16 (/ (* a c) (pow b 3))) (* 1/8 (/ 1 b))))) (taylor 0 c) (#s(alt (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) (patch (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/6 (/ b a)) (* c (+ (* c (+ (* -1/3 (* c (+ (* -27/32 (/ (pow a 2) (pow b 5))) (* -27/128 (/ (pow a 2) (pow b 5)))))) (* 3/16 (/ a (pow b 3))))) (* 1/8 (/ 1 b))))) (taylor 0 c) (#s(alt (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) (patch (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (taylor inf c) (#s(alt (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) (patch (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/3 (/ (pow b 3) (* (pow a 2) (pow (sqrt -3) 2)))) (* 1/3 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -3))))) c) (taylor inf c) (#s(alt (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) (patch (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/3 (/ (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (pow b 4) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (pow b 4) (pow (sqrt -3) 3))))) (pow c 2))) (+ (* -1/3 (/ (pow b 3) (* (pow a 2) (pow (sqrt -3) 2)))) (* 1/3 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -3)))))) c) (taylor inf c) (#s(alt (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) (patch (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/3 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (pow b 4) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (pow b 4) (pow (sqrt -3) 3)))))) (sqrt -3)))) (* -1/2 (/ (* (pow b 5) (pow c 2)) (* (pow a 3) (pow (sqrt -3) 4))))) (pow c 3))) (+ (* -1/3 (/ (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (pow b 4) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (pow b 4) (pow (sqrt -3) 3))))) (pow c 2))) (+ (* -1/3 (/ (pow b 3) (* (pow a 2) (pow (sqrt -3) 2)))) (* 1/3 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -3))))))) c) (taylor inf c) (#s(alt (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) (patch (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (taylor -inf c) (#s(alt (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) (patch (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1/3 (/ (pow b 3) (* (pow a 2) (pow (sqrt 3) 2)))) (* 1/3 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (taylor -inf c) (#s(alt (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) (patch (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ (+ (* 1/3 (/ (* (pow b 3) c) (* (pow a 2) (pow (sqrt 3) 2)))) (* 1/3 (/ (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) c))) c)) (* 1/3 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (taylor -inf c) (#s(alt (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) (patch (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))))) (* 1/3 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (* -1/2 (/ (* (pow b 5) (pow c 2)) (* (pow a 3) (pow (sqrt 3) 4))))) c))) c)) (* 1/3 (/ (* (pow b 3) c) (* (pow a 2) (pow (sqrt 3) 2))))) c)) (* 1/3 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (taylor -inf c) (#s(alt (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) (patch (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) #<representation binary64>) () ())) ())
Calls

207 calls:

TimeVariablePointExpression
32.0ms
b
@inf
(/ (+ (* c -1/2) (/ (* -3/8 (* a (* c c))) (* b b))) b)
20.0ms
a
@-inf
(neg (/ (* b b) (* (* a 3) (+ b (sqrt (+ (* b b) (* -3 (* a c))))))))
6.0ms
b
@0
(+ (* (/ (+ (* b b) (* -3 (* a c))) 3) (/ (/ 1 (+ b (sqrt (+ (* b b) (* -3 (* a c)))))) a)) (neg (/ (* b b) (* (* a 3) (+ b (sqrt (+ (* b b) (* -3 (* a c)))))))))
4.0ms
b
@-inf
(+ (* (/ (+ (* b b) (* -3 (* a c))) 3) (/ (/ 1 (+ b (sqrt (+ (* b b) (* -3 (* a c)))))) a)) (neg (/ (* b b) (* (* a 3) (+ b (sqrt (+ (* b b) (* -3 (* a c)))))))))
3.0ms
b
@inf
(+ (* (/ (+ (* b b) (* -3 (* a c))) 3) (/ (/ 1 (+ b (sqrt (+ (* b b) (* -3 (* a c)))))) a)) (neg (/ (* b b) (* (* a 3) (+ b (sqrt (+ (* b b) (* -3 (* a c)))))))))

simplify474.0ms (3.2%)

Memory
20.1MiB live, 520.3MiB allocated
Algorithm
egg-herbie
Rules
6 226×lower-*.f64
6 226×lower-*.f32
4 334×lower-fma.f64
4 334×lower-fma.f32
4 024×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0212820213
1615619510
0813818866
Stop Event
iter limit
node limit
Counts
828 → 828
Calls
Call 1
Inputs
(* -9/16 (/ (pow a 2) (pow b 5)))
(* (pow a 2) (- (* -135/128 (/ (* a c) (pow b 7))) (* 9/16 (/ 1 (pow b 5)))))
(* (pow a 2) (- (* -135/128 (/ (* a c) (pow b 7))) (* 9/16 (/ 1 (pow b 5)))))
(* (pow a 2) (- (* -135/128 (/ (* a c) (pow b 7))) (* 9/16 (/ 1 (pow b 5)))))
(* -135/128 (/ (* (pow a 3) c) (pow b 7)))
(* (pow a 3) (- (* -135/128 (/ c (pow b 7))) (* 9/16 (/ 1 (* a (pow b 5))))))
(* (pow a 3) (- (* -135/128 (/ c (pow b 7))) (* 9/16 (/ 1 (* a (pow b 5))))))
(* (pow a 3) (- (* -135/128 (/ c (pow b 7))) (* 9/16 (/ 1 (* a (pow b 5))))))
(* -135/128 (/ (* (pow a 3) c) (pow b 7)))
(* -1 (* (pow a 3) (+ (* 135/128 (/ c (pow b 7))) (* 9/16 (/ 1 (* a (pow b 5)))))))
(* -1 (* (pow a 3) (+ (* 135/128 (/ c (pow b 7))) (* 9/16 (/ 1 (* a (pow b 5)))))))
(* -1 (* (pow a 3) (+ (* 135/128 (/ c (pow b 7))) (* 9/16 (/ 1 (* a (pow b 5)))))))
(* -9/16 (/ (pow a 2) (pow b 5)))
(+ (* -135/128 (/ (* (pow a 3) c) (pow b 7))) (* -9/16 (/ (pow a 2) (pow b 5))))
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(+ (* -135/128 (/ (* (pow a 3) c) (pow b 7))) (* -9/16 (/ (pow a 2) (pow b 5))))
(* -135/128 (/ (* (pow a 3) c) (pow b 7)))
(* c (+ (* -135/128 (/ (pow a 3) (pow b 7))) (* -9/16 (/ (pow a 2) (* (pow b 5) c)))))
(* c (+ (* -135/128 (/ (pow a 3) (pow b 7))) (* -9/16 (/ (pow a 2) (* (pow b 5) c)))))
(* c (+ (* -135/128 (/ (pow a 3) (pow b 7))) (* -9/16 (/ (pow a 2) (* (pow b 5) c)))))
(* -135/128 (/ (* (pow a 3) c) (pow b 7)))
(* -1 (* c (+ (* 9/16 (/ (pow a 2) (* (pow b 5) c))) (* 135/128 (/ (pow a 3) (pow b 7))))))
(* -1 (* c (+ (* 9/16 (/ (pow a 2) (* (pow b 5) c))) (* 135/128 (/ (pow a 3) (pow b 7))))))
(* -1 (* c (+ (* 9/16 (/ (pow a 2) (* (pow b 5) c))) (* 135/128 (/ (pow a 3) (pow b 7))))))
(* -135/128 (/ (* (pow a 3) c) (pow b 7)))
(/ (+ (* -135/128 (* (pow a 3) c)) (* -9/16 (* (pow a 2) (pow b 2)))) (pow b 7))
(/ (+ (* -135/128 (* (pow a 3) c)) (* -9/16 (* (pow a 2) (pow b 2)))) (pow b 7))
(/ (+ (* -135/128 (* (pow a 3) c)) (* -9/16 (* (pow a 2) (pow b 2)))) (pow b 7))
(* -9/16 (/ (pow a 2) (pow b 5)))
(/ (+ (* -135/128 (/ (* (pow a 3) c) (pow b 2))) (* -9/16 (pow a 2))) (pow b 5))
(/ (+ (* -135/128 (/ (* (pow a 3) c) (pow b 2))) (* -9/16 (pow a 2))) (pow b 5))
(/ (+ (* -135/128 (/ (* (pow a 3) c) (pow b 2))) (* -9/16 (pow a 2))) (pow b 5))
(* -9/16 (/ (pow a 2) (pow b 5)))
(* -1 (/ (+ (* 9/16 (pow a 2)) (* 135/128 (/ (* (pow a 3) c) (pow b 2)))) (pow b 5)))
(* -1 (/ (+ (* 9/16 (pow a 2)) (* 135/128 (/ (* (pow a 3) c) (pow b 2)))) (pow b 5)))
(* -1 (/ (+ (* 9/16 (pow a 2)) (* 135/128 (/ (* (pow a 3) c) (pow b 2)))) (pow b 5)))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a)))))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a)))))
(* -1/2 (/ c b))
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -2/3 (/ b a))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))))
(* -1/2 (/ c b))
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))
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(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))
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(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(* -1/2 (/ c b))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c))))))
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(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(* -1/2 (/ c b))
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))
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(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 7)))
(* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5))))))
(* (pow a 3) (+ (* -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 3) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (+ (* -9/16 (/ (pow c 3) (* a (pow b 5)))) (+ (* -1/2 (/ c (* (pow a 3) b))) (* -3/8 (/ (pow c 2) (* (pow a 2) (pow b 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 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))
(* -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)
(* -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))
(* -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))))
(* -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 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))))
(* -3/8 (/ a (pow b 3)))
(* a (- (* -9/16 (/ (* a c) (pow b 5))) (* 3/8 (/ 1 (pow b 3)))))
(* a (- (* a (+ (* -135/128 (/ (* a (pow c 2)) (pow b 7))) (* -9/16 (/ c (pow b 5))))) (* 3/8 (/ 1 (pow b 3)))))
(* a (- (* a (+ (* -135/128 (/ (* a (pow c 2)) (pow b 7))) (* -9/16 (/ c (pow b 5))))) (* 3/8 (/ 1 (pow b 3)))))
(* -135/128 (/ (* (pow a 3) (pow c 2)) (pow b 7)))
(* (pow a 3) (+ (* -135/128 (/ (pow c 2) (pow b 7))) (* -9/16 (/ c (* a (pow b 5))))))
(* (pow a 3) (- (+ (* -135/128 (/ (pow c 2) (pow b 7))) (* -9/16 (/ c (* a (pow b 5))))) (/ 3/8 (* (pow a 2) (pow b 3)))))
(* (pow a 3) (- (+ (* -135/128 (/ (pow c 2) (pow b 7))) (* -9/16 (/ c (* a (pow b 5))))) (/ 3/8 (* (pow a 2) (pow b 3)))))
(* -135/128 (/ (* (pow a 3) (pow c 2)) (pow b 7)))
(* -1 (* (pow a 3) (+ (* 9/16 (/ c (* a (pow b 5)))) (* 135/128 (/ (pow c 2) (pow b 7))))))
(* -1 (* (pow a 3) (+ (* -1 (/ (- (* -9/16 (/ c (pow b 5))) (* 3/8 (/ 1 (* a (pow b 3))))) a)) (* 135/128 (/ (pow c 2) (pow b 7))))))
(* -1 (* (pow a 3) (+ (* -1 (/ (- (* -9/16 (/ c (pow b 5))) (* 3/8 (/ 1 (* a (pow b 3))))) a)) (* 135/128 (/ (pow c 2) (pow b 7))))))
(* -135/128 (/ (* (pow a 3) (pow c 2)) (pow b 7)))
(/ (+ (* -135/128 (* (pow a 3) (pow c 2))) (* -9/16 (* (pow a 2) (* (pow b 2) c)))) (pow b 7))
(/ (+ (* -135/128 (* (pow a 3) (pow c 2))) (* (pow b 2) (+ (* -9/16 (* (pow a 2) c)) (* -3/8 (* a (pow b 2)))))) (pow b 7))
(/ (+ (* -135/128 (* (pow a 3) (pow c 2))) (* (pow b 2) (+ (* -9/16 (* (pow a 2) c)) (* -3/8 (* a (pow b 2)))))) (pow b 7))
(* -3/8 (/ a (pow b 3)))
(/ (+ (* -9/16 (/ (* (pow a 2) c) (pow b 2))) (* -3/8 a)) (pow b 3))
(/ (+ (* -135/128 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (+ (* -9/16 (/ (* (pow a 2) c) (pow b 2))) (* -3/8 a))) (pow b 3))
(/ (+ (* -135/128 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (+ (* -9/16 (/ (* (pow a 2) c) (pow b 2))) (* -3/8 a))) (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))) (* 135/128 (/ (* (pow a 3) (pow c 2)) (pow b 4))))) (pow b 3)))
(* -1 (/ (+ (* 3/8 a) (+ (* 9/16 (/ (* (pow a 2) c) (pow b 2))) (* 135/128 (/ (* (pow a 3) (pow c 2)) (pow b 4))))) (pow b 3)))
(* -3/8 (/ a (pow b 3)))
(+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))
(+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -135/128 (/ (* (pow a 3) c) (pow b 7))) (* -9/16 (/ (pow a 2) (pow b 5))))))
(+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -135/128 (/ (* (pow a 3) c) (pow b 7))) (* -9/16 (/ (pow a 2) (pow b 5))))))
(* -135/128 (/ (* (pow a 3) (pow c 2)) (pow b 7)))
(* (pow c 2) (+ (* -135/128 (/ (pow a 3) (pow b 7))) (* -9/16 (/ (pow a 2) (* (pow b 5) c)))))
(* (pow c 2) (+ (* -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 2) (+ (* -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)))))))
(* -135/128 (/ (* (pow a 3) (pow c 2)) (pow b 7)))
(* (pow c 2) (+ (* -135/128 (/ (pow a 3) (pow b 7))) (* -9/16 (/ (pow a 2) (* (pow b 5) c)))))
(* (pow c 2) (+ (* -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 2) (+ (* -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))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a)))))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a)))))
(* -1/2 (/ c b))
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -2/3 (/ b a))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))))
(* -1/2 (/ c b))
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))
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(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(* -1/2 (/ c b))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(/ -1/2 b)
(/ -1/2 b)
(/ -1/2 b)
(/ -1/2 b)
(/ -1/2 b)
(/ -1/2 b)
(/ -1/2 b)
(/ -1/2 b)
(/ -1/2 b)
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(- (+ (* -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))))))
(* (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 (* a c))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(pow b 2)
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(pow b 2)
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(pow b 2)
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(* -3 (* a c))
(* a (+ (* -3 c) (/ (pow b 2) a)))
(* a (+ (* -3 c) (/ (pow b 2) a)))
(* a (+ (* -3 c) (/ (pow b 2) a)))
(* -3 (* a c))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))
(pow b 2)
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(* -3 (* a c))
(* c (+ (* -3 a) (/ (pow b 2) c)))
(* c (+ (* -3 a) (/ (pow b 2) c)))
(* c (+ (* -3 a) (/ (pow b 2) c)))
(* -3 (* a c))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a))))
(* -3 (* a c))
(* -3 (* a c))
(* -3 (* a c))
(* -3 (* a c))
(* -3 (* a c))
(* -3 (* a c))
(* -3 (* a c))
(* -3 (* a c))
(* -3 (* a c))
(* -3 (* a c))
(* -3 (* a c))
(* -3 (* a c))
(* -3 (* a c))
(* -3 (* a c))
(* -3 (* a c))
(* -3 (* a c))
(* -3 (* a c))
(* -3 (* a c))
(* -3 (* a c))
(* -3 (* a c))
(* -3 (* a c))
(* -3 (* a c))
(* -3 (* a c))
(* -3 (* a c))
(* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3))))
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (/ b (* a (pow (sqrt -3) 2))))
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* b (+ (* b (- (* 1/3 (- (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3))) (+ (* -3/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))) (* 3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3))))))) (* 1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (/ 1 (* a (pow (sqrt -3) 2))))))
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* b (+ (* b (- (+ (* 1/3 (- (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3))) (+ (* -3/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))) (* 3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3))))))) (* b (+ (* -1/3 (+ (* (sqrt (/ 1 (* a c))) (/ (- (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3))) (+ (* -3/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))) (* 3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))))) (sqrt -3))) (* 3/2 (/ 1 (* (pow a 2) (* c (pow (sqrt -3) 4))))))) (* 1/3 (/ 1 (* (pow a 2) (* c (pow (sqrt -3) 2)))))))) (* 1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (/ 1 (* a (pow (sqrt -3) 2))))))
(/ (- (* 1/3 (- (* -3/2 c) (* -3/8 c))) (* 1/8 c)) b)
(/ (- (+ (* -1/3 (/ (+ (* -3/4 (* a (* c (- (* -3/2 c) (* -3/8 c))))) (* -9/32 (* a (pow c 2)))) (pow b 2))) (* 1/3 (- (* -3/2 c) (* -3/8 c)))) (+ (* 1/8 c) (* 3/16 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (- (+ (* -1/3 (/ (+ (* -3/4 (* a (* c (- (* -3/2 c) (* -3/8 c))))) (* -9/32 (* a (pow c 2)))) (pow b 2))) (+ (* -1/3 (/ (+ (* -9/16 (* (pow a 2) (* (pow c 2) (- (* -3/2 c) (* -3/8 c))))) (+ (* -27/64 (* (pow a 2) (pow c 3))) (* 3/4 (* a (* c (+ (* -3/4 (* a (* c (- (* -3/2 c) (* -3/8 c))))) (* -9/32 (* a (pow c 2))))))))) (pow b 4))) (* 1/3 (- (* -3/2 c) (* -3/8 c))))) (+ (* -1/3 (/ (+ (* -27/32 (* (pow a 2) (pow c 3))) (* -27/128 (* (pow a 2) (pow c 3)))) (pow b 4))) (+ (* 1/8 c) (* 3/16 (/ (* a (pow c 2)) (pow b 2)))))) b)
(/ (- (+ (* -1/3 (/ (+ (* -27/32 (* (pow a 3) (* (pow c 3) (- (* -3/2 c) (* -3/8 c))))) (+ (* -1/8 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) a)) (+ (* 9/16 (* (pow a 2) (* (pow c 2) (+ (* -3/4 (* a (* c (- (* -3/2 c) (* -3/8 c))))) (* -9/32 (* a (pow c 2))))))) (* 3/4 (* a (* c (+ (* -9/16 (* (pow a 2) (* (pow c 2) (- (* -3/2 c) (* -3/8 c))))) (+ (* -27/64 (* (pow a 2) (pow c 3))) (* 3/4 (* a (* c (+ (* -3/4 (* a (* c (- (* -3/2 c) (* -3/8 c))))) (* -9/32 (* a (pow c 2))))))))))))))) (pow b 6))) (+ (* -1/3 (/ (+ (* -3/4 (* a (* c (- (* -3/2 c) (* -3/8 c))))) (* -9/32 (* a (pow c 2)))) (pow b 2))) (+ (* -1/3 (/ (+ (* -9/16 (* (pow a 2) (* (pow c 2) (- (* -3/2 c) (* -3/8 c))))) (+ (* -27/64 (* (pow a 2) (pow c 3))) (* 3/4 (* a (* c (+ (* -3/4 (* a (* c (- (* -3/2 c) (* -3/8 c))))) (* -9/32 (* a (pow c 2))))))))) (pow b 4))) (* 1/3 (- (* -3/2 c) (* -3/8 c)))))) (+ (* -1/3 (/ (+ (* -27/32 (* (pow a 2) (pow c 3))) (* -27/128 (* (pow a 2) (pow c 3)))) (pow b 4))) (+ (* -1/3 (/ (+ (* -81/128 (* (pow a 3) (pow c 4))) (+ (* -1/8 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) a)) (* 3/4 (* a (* c (+ (* -27/32 (* (pow a 2) (pow c 3))) (* -27/128 (* (pow a 2) (pow c 3))))))))) (pow b 6))) (+ (* 1/8 c) (* 3/16 (/ (* a (pow c 2)) (pow b 2))))))) b)
(* -2/3 (/ b a))
(* -1 (* b (- (+ (* -1/3 (/ (+ (* -3/4 c) (* 15/8 c)) (pow b 2))) (* 2/3 (/ 1 a))) (* -1/3 (/ (+ (* -3/4 c) (* 3/8 c)) (pow b 2))))))
(* -1 (* b (- (+ (* -1/3 (/ (+ (* -3/4 c) (* 15/8 c)) (pow b 2))) (+ (* -1/3 (/ (+ (* -3/4 (* a (* c (+ (* -3/4 c) (* 15/8 c))))) (+ (* -2/9 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* (pow a 3) (pow c 2)))) (* 45/16 (* a (pow c 2))))) (pow b 4))) (* 2/3 (/ 1 a)))) (+ (* -1/3 (/ (+ (* -3/4 c) (* 3/8 c)) (pow b 2))) (* -1/3 (/ (+ (* -3/4 (* a (* c (+ (* -3/4 c) (* 3/8 c))))) (+ (* -2/9 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* (pow a 3) (pow c 2)))) (* 9/16 (* a (pow c 2))))) (pow b 4)))))))
(* -1 (* b (- (+ (* -1/3 (/ (+ (* -9/8 (* (pow a 2) (* (pow c 2) (+ (* -3/4 c) (* 15/8 c))))) (+ (* -3/4 (* a (* c (+ (* -3/4 (* a (* c (+ (* -3/4 c) (* 15/8 c))))) (+ (* -2/9 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* (pow a 3) (pow c 2)))) (* 45/16 (* a (pow c 2)))))))) (+ (* -2/9 (/ (+ (* 3/2 (* a (* c (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4))))))) (* 243/64 (* (pow a 5) (pow c 5)))) (* (pow a 3) (pow c 2)))) (* 5/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* (pow a 2) c)))))) (pow b 6))) (+ (* -1/3 (/ (+ (* -3/4 c) (* 15/8 c)) (pow b 2))) (+ (* -1/3 (/ (+ (* -3/4 (* a (* c (+ (* -3/4 c) (* 15/8 c))))) (+ (* -2/9 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* (pow a 3) (pow c 2)))) (* 45/16 (* a (pow c 2))))) (pow b 4))) (* 2/3 (/ 1 a))))) (+ (* -1/3 (/ (+ (* -9/8 (* (pow a 2) (* (pow c 2) (+ (* -3/4 c) (* 3/8 c))))) (+ (* -3/4 (* a (* c (+ (* -3/4 (* a (* c (+ (* -3/4 c) (* 3/8 c))))) (+ (* -2/9 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* (pow a 3) (pow c 2)))) (* 9/16 (* a (pow c 2)))))))) (+ (* -2/9 (/ (+ (* 3/2 (* a (* c (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4))))))) (* 243/64 (* (pow a 5) (pow c 5)))) (* (pow a 3) (pow c 2)))) (* 1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* (pow a 2) c)))))) (pow b 6))) (+ (* -1/3 (/ (+ (* -3/4 c) (* 3/8 c)) (pow b 2))) (* -1/3 (/ (+ (* -3/4 (* a (* c (+ (* -3/4 c) (* 3/8 c))))) (+ (* -2/9 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* (pow a 3) (pow c 2)))) (* 9/16 (* a (pow c 2))))) (pow b 4))))))))
(- (* 1/3 (- (* -3/2 (/ c b)) (* -3/8 (/ c b)))) (* 1/8 (/ c b)))
(- (+ (* 1/3 (- (* -3/2 (/ c b)) (* -3/8 (/ c b)))) (* a (- (* -1/3 (+ (* -3/4 (/ (* c (- (* -3/2 (/ c b)) (* -3/8 (/ c b)))) (pow b 2))) (* -9/32 (/ (pow c 2) (pow b 3))))) (* 3/16 (/ (pow c 2) (pow b 3)))))) (* 1/8 (/ c b)))
(- (+ (* 1/3 (- (* -3/2 (/ c b)) (* -3/8 (/ c b)))) (* a (- (+ (* -1/3 (+ (* -3/4 (/ (* c (- (* -3/2 (/ c b)) (* -3/8 (/ c b)))) (pow b 2))) (* -9/32 (/ (pow c 2) (pow b 3))))) (* a (- (* -1/3 (+ (* -9/16 (/ (* (pow c 2) (- (* -3/2 (/ c b)) (* -3/8 (/ c b)))) (pow b 4))) (+ (* -27/64 (/ (pow c 3) (pow b 5))) (* 3/4 (/ (* c (+ (* -3/4 (/ (* c (- (* -3/2 (/ c b)) (* -3/8 (/ c b)))) (pow b 2))) (* -9/32 (/ (pow c 2) (pow b 3))))) (pow b 2)))))) (* -1/3 (+ (* -27/32 (/ (pow c 3) (pow b 5))) (* -27/128 (/ (pow c 3) (pow b 5)))))))) (* 3/16 (/ (pow c 2) (pow b 3)))))) (* 1/8 (/ c b)))
(- (+ (* 1/3 (- (* -3/2 (/ c b)) (* -3/8 (/ c b)))) (* a (- (+ (* -1/3 (+ (* -3/4 (/ (* c (- (* -3/2 (/ c b)) (* -3/8 (/ c b)))) (pow b 2))) (* -9/32 (/ (pow c 2) (pow b 3))))) (* a (- (+ (* -1/3 (+ (* -9/16 (/ (* (pow c 2) (- (* -3/2 (/ c b)) (* -3/8 (/ c b)))) (pow b 4))) (+ (* -27/64 (/ (pow c 3) (pow b 5))) (* 3/4 (/ (* c (+ (* -3/4 (/ (* c (- (* -3/2 (/ c b)) (* -3/8 (/ c b)))) (pow b 2))) (* -9/32 (/ (pow c 2) (pow b 3))))) (pow b 2)))))) (* a (- (* -1/3 (+ (* -27/32 (/ (* (pow c 3) (- (* -3/2 (/ c b)) (* -3/8 (/ c b)))) (pow b 6))) (+ (* -1/8 (/ (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6)))) b)) (+ (* 9/16 (/ (* (pow c 2) (+ (* -3/4 (/ (* c (- (* -3/2 (/ c b)) (* -3/8 (/ c b)))) (pow b 2))) (* -9/32 (/ (pow c 2) (pow b 3))))) (pow b 4))) (* 3/4 (/ (* c (+ (* -9/16 (/ (* (pow c 2) (- (* -3/2 (/ c b)) (* -3/8 (/ c b)))) (pow b 4))) (+ (* -27/64 (/ (pow c 3) (pow b 5))) (* 3/4 (/ (* c (+ (* -3/4 (/ (* c (- (* -3/2 (/ c b)) (* -3/8 (/ c b)))) (pow b 2))) (* -9/32 (/ (pow c 2) (pow b 3))))) (pow b 2)))))) (pow b 2))))))) (* -1/3 (+ (* -81/128 (/ (pow c 4) (pow b 7))) (+ (* -1/8 (/ (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6)))) b)) (* 3/4 (/ (* c (+ (* -27/32 (/ (pow c 3) (pow b 5))) (* -27/128 (/ (pow c 3) (pow b 5))))) (pow b 2))))))))) (* -1/3 (+ (* -27/32 (/ (pow c 3) (pow b 5))) (* -27/128 (/ (pow c 3) (pow b 5)))))))) (* 3/16 (/ (pow c 2) (pow b 3)))))) (* 1/8 (/ c b)))
(* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3))))
(/ (- (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (* 1/3 (/ (- (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -3))) (* -3 (/ (* a b) (pow (sqrt -3) 2)))) a))) (* 1/3 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3))))) a)
(/ (- (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (+ (* -1/3 (/ (+ (* -3/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ a c)) (/ (* b (- (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -3))) (* -3 (/ (* a b) (pow (sqrt -3) 2))))) (sqrt -3)))) (pow a 2))) (* 1/3 (/ (- (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -3))) (* -3 (/ (* a b) (pow (sqrt -3) 2)))) a)))) (+ (* -1/3 (/ (pow b 3) (* a (* c (pow (sqrt -3) 2))))) (* 1/3 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))))) a)
(/ (- (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (+ (* -1/3 (/ (+ (* -3/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ a c)) (/ (* b (- (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -3))) (* -3 (/ (* a b) (pow (sqrt -3) 2))))) (sqrt -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)))) (* (sqrt (/ a c)) (/ (* b (- (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -3))) (* -3 (/ (* a b) (pow (sqrt -3) 2))))) (sqrt -3))))) (sqrt -3)))) (* 1/2 (/ (* a (* (pow b 2) (- (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -3))) (* -3 (/ (* a b) (pow (sqrt -3) 2)))))) (* c (pow (sqrt -3) 2))))) (pow a 3))) (* 1/3 (/ (- (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -3))) (* -3 (/ (* a b) (pow (sqrt -3) 2)))) a))))) (+ (* -1/3 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 4) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 4) (pow (sqrt -3) 3))))) (pow a 3))) (+ (* -1/3 (/ (pow b 3) (* a (* c (pow (sqrt -3) 2))))) (* 1/3 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3))))))) a)
(* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (- (* -1/3 (- (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))) (* -3 (/ (* a b) (pow (sqrt 3) 2))))) (* -1/3 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a))) a))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (- (+ (* -1 (/ (- (* 1/3 (+ (* 3/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* (sqrt (/ a c)) (/ (* b (* (sqrt -1) (- (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))) (* -3 (/ (* a b) (pow (sqrt 3) 2)))))) (sqrt 3))))) (* -1/3 (/ (* a (pow b 3)) (* c (pow (sqrt 3) 2))))) a)) (* -1/3 (- (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))) (* -3 (/ (* a b) (pow (sqrt 3) 2)))))) (* -1/3 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a))) a))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 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)))) (* (sqrt (/ a c)) (/ (* b (* (sqrt -1) (- (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))) (* -3 (/ (* a b) (pow (sqrt 3) 2)))))) (sqrt 3)))))) (sqrt 3)))) (* -1/2 (/ (* a (* (pow b 2) (- (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))) (* -3 (/ (* a b) (pow (sqrt 3) 2)))))) (* c (pow (sqrt 3) 2)))))) (* 1/3 (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))))) a)) (* 1/3 (+ (* 3/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* (sqrt (/ a c)) (/ (* b (* (sqrt -1) (- (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))) (* -3 (/ (* a b) (pow (sqrt 3) 2)))))) (sqrt 3)))))) (* -1/3 (/ (* a (pow b 3)) (* c (pow (sqrt 3) 2))))) a)) (* -1/3 (- (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))) (* -3 (/ (* a b) (pow (sqrt 3) 2)))))) (* -1/3 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a))) a))
(* -1/2 (/ c b))
(* c (- (* c (- (* -1/3 (+ (* -9/32 (/ a (pow b 3))) (* 27/32 (/ a (pow b 3))))) (* 3/16 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(* c (- (* c (- (+ (* -1/3 (+ (* -9/32 (/ a (pow b 3))) (* 27/32 (/ a (pow b 3))))) (* c (- (* -1/3 (+ (* -27/64 (/ (pow a 2) (pow b 5))) (+ (* 81/128 (/ (pow a 2) (pow b 5))) (* 3/4 (/ (* a (+ (* -9/32 (/ a (pow b 3))) (* 27/32 (/ a (pow b 3))))) (pow b 2)))))) (* -1/3 (+ (* -27/32 (/ (pow a 2) (pow b 5))) (* -27/128 (/ (pow a 2) (pow b 5)))))))) (* 3/16 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(* c (- (* c (- (+ (* -1/3 (+ (* -9/32 (/ a (pow b 3))) (* 27/32 (/ a (pow b 3))))) (* c (- (+ (* -1/3 (+ (* -27/64 (/ (pow a 2) (pow b 5))) (+ (* 81/128 (/ (pow a 2) (pow b 5))) (* 3/4 (/ (* a (+ (* -9/32 (/ a (pow b 3))) (* 27/32 (/ a (pow b 3))))) (pow b 2)))))) (* c (- (* -1/3 (+ (* -1/8 (/ (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6)))) (* a b))) (+ (* 9/16 (/ (* (pow a 2) (+ (* -9/32 (/ a (pow b 3))) (* 27/32 (/ a (pow b 3))))) (pow b 4))) (+ (* 3/4 (/ (* a (+ (* -27/64 (/ (pow a 2) (pow b 5))) (+ (* 81/128 (/ (pow a 2) (pow b 5))) (* 3/4 (/ (* a (+ (* -9/32 (/ a (pow b 3))) (* 27/32 (/ a (pow b 3))))) (pow b 2)))))) (pow b 2))) (* 243/256 (/ (pow a 3) (pow b 7))))))) (* -1/3 (+ (* -81/128 (/ (pow a 3) (pow b 7))) (+ (* -1/8 (/ (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6)))) (* a b))) (* 3/4 (/ (* a (+ (* -27/32 (/ (pow a 2) (pow b 5))) (* -27/128 (/ (pow a 2) (pow b 5))))) (pow b 2))))))))) (* -1/3 (+ (* -27/32 (/ (pow a 2) (pow b 5))) (* -27/128 (/ (pow a 2) (pow b 5)))))))) (* 3/16 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3))))
(- (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* 1/3 (/ (- (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -3))) (* -3 (/ (* b c) (* a (pow (sqrt -3) 2))))) c))) (* 1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))))
(- (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (+ (* -1/3 (/ (+ (* -3/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ c a)) (/ (* b (- (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -3))) (* -3 (/ (* b c) (* a (pow (sqrt -3) 2)))))) (sqrt -3)))) (pow c 2))) (* 1/3 (/ (- (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -3))) (* -3 (/ (* b c) (* a (pow (sqrt -3) 2))))) c)))) (+ (* -1/3 (/ (pow b 3) (* (pow a 2) (* c (pow (sqrt -3) 2))))) (* 1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3))))))
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(* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))
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(* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))
(+ (* -1 (/ b (* (pow a 2) (* c (pow (sqrt -3) 2))))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3))))
(+ (* b (- (* -1 (* b (+ (* -1 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ 1 (pow (sqrt -3) 3))))))) (/ 1 (* (pow a 2) (* c (pow (sqrt -3) 2)))))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3))))
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(/ 1/2 (* a b))
(/ (+ (* 3/8 (/ c (pow b 2))) (* 1/2 (/ 1 a))) b)
(/ (- (+ (* 9/16 (/ (* a (pow c 2)) (pow b 4))) (* 1/2 (/ 1 a))) (* -3/8 (/ c (pow b 2)))) b)
(/ (- (+ (* -1 (/ (+ (* -27/32 (* (pow a 2) (pow c 3))) (* -27/128 (* (pow a 2) (pow c 3)))) (pow b 6))) (* 1/2 (/ 1 a))) (+ (* -9/16 (/ (* a (pow c 2)) (pow b 4))) (* -3/8 (/ c (pow b 2))))) b)
(* 2/3 (/ b (* (pow a 2) c)))
(* -1 (* b (- (* 1/2 (/ 1 (* a (pow b 2)))) (* 2/3 (/ 1 (* (pow a 2) c))))))
(* -1 (* b (- (+ (* -1 (/ (+ (* -3/4 c) (* 3/8 c)) (pow b 4))) (/ 1/2 (* a (pow b 2)))) (* 2/3 (/ 1 (* (pow a 2) c))))))
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(/ 1/2 (* a b))
(/ (+ (* 3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))) a)
(/ (+ (* a (- (* 9/16 (/ (* a (pow c 2)) (pow b 5))) (* -3/8 (/ c (pow b 3))))) (* 1/2 (/ 1 b))) a)
(/ (+ (* a (- (* a (- (* -1 (* a (+ (* -27/32 (/ (pow c 3) (pow b 7))) (* -27/128 (/ (pow c 3) (pow b 7)))))) (* -9/16 (/ (pow c 2) (pow b 5))))) (* -3/8 (/ c (pow b 3))))) (* 1/2 (/ 1 b))) a)
(* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))
(/ (+ (* -1 (/ b (* c (pow (sqrt -3) 2)))) (* (sqrt (/ a c)) (/ 1 (sqrt -3)))) (pow a 2))
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3))))) (pow a 2))) (* (sqrt (/ a c)) (/ 1 (sqrt -3)))) (/ b (* c (pow (sqrt -3) 2)))) (pow a 2))
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3)))) (* -1/2 (/ (* (pow a 2) (pow b 3)) (* (pow c 2) (pow (sqrt -3) 4))))) (pow a 3))) (* (sqrt (/ a c)) (/ 1 (sqrt -3)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (/ b (* c (pow (sqrt -3) 2)))))) (pow a 2))
(* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (sqrt -1) (sqrt 3))))
(/ (+ (* -1 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3)))) (/ b (* c (pow (sqrt 3) 2)))) (pow a 2))
(/ (+ (* -1 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -1 (/ (* a b) (* c (pow (sqrt 3) 2)))) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) a))) a))) (pow a 2))
(/ (+ (* -1 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -1 (/ (* a b) (* c (pow (sqrt 3) 2)))) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (* -1/2 (/ (* (pow a 2) (pow b 3)) (* (pow c 2) (pow (sqrt 3) 4))))) a)) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) a))) a))) (pow a 2))
(/ 1/2 (* a b))
(+ (* 3/8 (/ c (pow b 3))) (* 1/2 (/ 1 (* a b))))
(+ (* c (+ (* 9/16 (/ (* a c) (pow b 5))) (* 3/8 (/ 1 (pow b 3))))) (* 1/2 (/ 1 (* a b))))
(+ (* c (+ (* c (- (* -1 (* c (+ (* -27/32 (/ (pow a 2) (pow b 7))) (* -27/128 (/ (pow a 2) (pow b 7)))))) (* -9/16 (/ a (pow b 5))))) (* 3/8 (/ 1 (pow b 3))))) (* 1/2 (/ 1 (* a b))))
(* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))
(/ (+ (* -1 (/ b (* (pow a 2) (pow (sqrt -3) 2)))) (* (sqrt (/ c (pow a 3))) (/ 1 (sqrt -3)))) c)
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (pow b 2) (pow (sqrt -3) 3))))) (pow c 2))) (* (sqrt (/ c (pow a 3))) (/ 1 (sqrt -3)))) (/ b (* (pow a 2) (pow (sqrt -3) 2)))) c)
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3)))) (* -1/2 (/ (* (pow b 3) (pow c 2)) (* (pow a 3) (pow (sqrt -3) 4))))) (pow c 3))) (* (sqrt (/ c (pow a 3))) (/ 1 (sqrt -3)))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (/ b (* (pow a 2) (pow (sqrt -3) 2)))))) c)
(* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (sqrt -1) (sqrt 3))))
(* -1 (/ (+ (* -1 (/ b (* (pow a 2) (pow (sqrt 3) 2)))) (* (sqrt (/ c (pow a 3))) (/ (sqrt -1) (sqrt 3)))) c))
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ c (pow a 5))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c (pow a 5))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) (* -1 (/ (* b c) (* (pow a 2) (pow (sqrt 3) 2))))) c)) (* (sqrt (/ c (pow a 3))) (/ (sqrt -1) (sqrt 3)))) c))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (* -1/2 (/ (* (pow b 3) c) (* (pow a 3) (pow (sqrt 3) 4))))) (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) c)) (* -1 (/ (* b c) (* (pow a 2) (pow (sqrt 3) 2))))) c)) (* (sqrt (/ c (pow a 3))) (/ (sqrt -1) (sqrt 3)))) c))
(* -1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3))))
(* (pow b 2) (- (* 1/3 (/ b (* (pow a 2) (* c (pow (sqrt -3) 2))))) (* 1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3))))))
(* (pow b 2) (- (* b (+ (* 1/3 (* b (+ (* -1 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ 1 (pow (sqrt -3) 3))))))) (* 1/3 (/ 1 (* (pow a 2) (* c (pow (sqrt -3) 2))))))) (* 1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3))))))
(* (pow b 2) (- (* b (+ (* b (- (* -1/3 (* b (- (* 1/2 (/ 1 (* (pow a 3) (* (pow c 2) (pow (sqrt -3) 4))))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ 1 (pow (sqrt -3) 3))))) (sqrt -3))))))) (* -1/3 (+ (* -1 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))))))) (* 1/3 (/ 1 (* (pow a 2) (* c (pow (sqrt -3) 2))))))) (* 1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3))))))
(* -1/6 (/ b a))
(* b (- (* -1/8 (/ c (pow b 2))) (* 1/6 (/ 1 a))))
(* b (- (* -3/16 (/ (* a (pow c 2)) (pow b 4))) (+ (* 1/8 (/ c (pow b 2))) (* 1/6 (/ 1 a)))))
(* b (- (* 1/3 (/ (+ (* -27/32 (* (pow a 2) (pow c 3))) (* -27/128 (* (pow a 2) (pow c 3)))) (pow b 6))) (+ (* 1/8 (/ c (pow b 2))) (+ (* 1/6 (/ 1 a)) (* 3/16 (/ (* a (pow c 2)) (pow b 4)))))))
(* -2/9 (/ (pow b 3) (* (pow a 2) c)))
(* -1 (* (pow b 3) (- (* 2/9 (/ 1 (* (pow a 2) c))) (* 1/6 (/ 1 (* a (pow b 2)))))))
(* -1 (* (pow b 3) (- (+ (* 1/3 (/ (+ (* -3/4 c) (* 3/8 c)) (pow b 4))) (* 2/9 (/ 1 (* (pow a 2) c)))) (/ 1/6 (* a (pow b 2))))))
(* -1 (* (pow b 3) (- (+ (* 1/3 (/ (+ (* -3/4 (* a (* c (+ (* -3/4 c) (* 3/8 c))))) (+ (* -2/9 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* (pow a 3) (pow c 2)))) (* 9/16 (* a (pow c 2))))) (pow b 6))) (* 2/9 (/ 1 (* (pow a 2) c)))) (+ (* -1/3 (/ (+ (* -3/4 c) (* 3/8 c)) (pow b 4))) (/ 1/6 (* a (pow b 2)))))))
(* -1/6 (/ b a))
(/ (- (* -1/8 (/ (* a c) b)) (* 1/6 b)) a)
(/ (- (* a (- (* -3/16 (/ (* a (pow c 2)) (pow b 3))) (* 1/8 (/ c b)))) (* 1/6 b)) a)
(/ (- (* a (- (* a (- (* 1/3 (* a (+ (* -27/32 (/ (pow c 3) (pow b 5))) (* -27/128 (/ (pow c 3) (pow b 5)))))) (* 3/16 (/ (pow c 2) (pow b 3))))) (* 1/8 (/ c b)))) (* 1/6 b)) a)
(* -1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3))))
(/ (- (* 1/3 (/ (pow b 3) (* c (pow (sqrt -3) 2)))) (* 1/3 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -3))))) (pow a 2))
(/ (- (* 1/3 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 4) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 4) (pow (sqrt -3) 3))))) (pow a 2))) (+ (* -1/3 (/ (pow b 3) (* c (pow (sqrt -3) 2)))) (* 1/3 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -3)))))) (pow a 2))
(/ (- (* 1/3 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 4) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 4) (pow (sqrt -3) 3)))))) (sqrt -3)))) (* -1/2 (/ (* (pow a 2) (pow b 5)) (* (pow c 2) (pow (sqrt -3) 4))))) (pow a 3))) (+ (* -1/3 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 4) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 4) (pow (sqrt -3) 3))))) (pow a 2))) (+ (* -1/3 (/ (pow b 3) (* c (pow (sqrt -3) 2)))) (* 1/3 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -3))))))) (pow a 2))
(* 1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))
(/ (- (* -1/3 (/ (pow b 3) (* c (pow (sqrt 3) 2)))) (* -1/3 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) (pow a 2))
(/ (- (* -1 (/ (- (* 1/3 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* -1/3 (/ (* a (pow b 3)) (* c (pow (sqrt 3) 2))))) a)) (* -1/3 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) (pow a 2))
(/ (- (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (* -1/2 (/ (* (pow a 2) (pow b 5)) (* (pow c 2) (pow (sqrt 3) 4))))) a)) (* 1/3 (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))))) a)) (* -1/3 (/ (* a (pow b 3)) (* c (pow (sqrt 3) 2))))) a)) (* -1/3 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) (pow a 2))
(* -1/6 (/ b a))
(- (* -1/8 (/ c b)) (* 1/6 (/ b a)))
(- (* c (- (* -3/16 (/ (* a c) (pow b 3))) (* 1/8 (/ 1 b)))) (* 1/6 (/ b a)))
(- (* c (- (* c (- (* 1/3 (* c (+ (* -27/32 (/ (pow a 2) (pow b 5))) (* -27/128 (/ (pow a 2) (pow b 5)))))) (* 3/16 (/ a (pow b 3))))) (* 1/8 (/ 1 b)))) (* 1/6 (/ b a)))
(* -1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3))))
(/ (- (* 1/3 (/ (pow b 3) (* (pow a 2) (pow (sqrt -3) 2)))) (* 1/3 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -3))))) c)
(/ (- (* 1/3 (/ (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (pow b 4) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (pow b 4) (pow (sqrt -3) 3))))) (pow c 2))) (+ (* -1/3 (/ (pow b 3) (* (pow a 2) (pow (sqrt -3) 2)))) (* 1/3 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -3)))))) c)
(/ (- (* 1/3 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (pow b 4) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (pow b 4) (pow (sqrt -3) 3)))))) (sqrt -3)))) (* -1/2 (/ (* (pow b 5) (pow c 2)) (* (pow a 3) (pow (sqrt -3) 4))))) (pow c 3))) (+ (* -1/3 (/ (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (pow b 4) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (pow b 4) (pow (sqrt -3) 3))))) (pow c 2))) (+ (* -1/3 (/ (pow b 3) (* (pow a 2) (pow (sqrt -3) 2)))) (* 1/3 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -3))))))) c)
(* 1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))
(* -1 (/ (- (* 1/3 (/ (pow b 3) (* (pow a 2) (pow (sqrt 3) 2)))) (* 1/3 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c))
(* -1 (/ (- (* -1 (/ (- (* -1/3 (/ (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) c)) (* 1/3 (/ (* (pow b 3) c) (* (pow a 2) (pow (sqrt 3) 2))))) c)) (* 1/3 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1/3 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (* -1/2 (/ (* (pow b 5) (pow c 2)) (* (pow a 3) (pow (sqrt 3) 4))))) c)) (* -1/3 (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))))) c)) (* 1/3 (/ (* (pow b 3) c) (* (pow a 2) (pow (sqrt 3) 2))))) c)) (* 1/3 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c))
(* -1 (* a c))
(+ (* -1 (* a c)) (* 1/3 (pow b 2)))
(+ (* -1 (* a c)) (* 1/3 (pow b 2)))
(+ (* -1 (* a c)) (* 1/3 (pow b 2)))
(* 1/3 (pow b 2))
(* (pow b 2) (+ 1/3 (* -1 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1/3 (* -1 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1/3 (* -1 (/ (* a c) (pow b 2)))))
(* 1/3 (pow b 2))
(* (pow b 2) (+ 1/3 (* -1 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1/3 (* -1 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1/3 (* -1 (/ (* a c) (pow b 2)))))
(* 1/3 (pow b 2))
(+ (* -1 (* a c)) (* 1/3 (pow b 2)))
(+ (* -1 (* a c)) (* 1/3 (pow b 2)))
(+ (* -1 (* a c)) (* 1/3 (pow b 2)))
(* -1 (* a c))
(* a (+ (* -1 c) (* 1/3 (/ (pow b 2) a))))
(* a (+ (* -1 c) (* 1/3 (/ (pow b 2) a))))
(* a (+ (* -1 c) (* 1/3 (/ (pow b 2) a))))
(* -1 (* a c))
(* -1 (* a (+ c (* -1/3 (/ (pow b 2) a)))))
(* -1 (* a (+ c (* -1/3 (/ (pow b 2) a)))))
(* -1 (* a (+ c (* -1/3 (/ (pow b 2) a)))))
(* 1/3 (pow b 2))
(+ (* -1 (* a c)) (* 1/3 (pow b 2)))
(+ (* -1 (* a c)) (* 1/3 (pow b 2)))
(+ (* -1 (* a c)) (* 1/3 (pow b 2)))
(* -1 (* a c))
(* c (+ (* -1 a) (* 1/3 (/ (pow b 2) c))))
(* c (+ (* -1 a) (* 1/3 (/ (pow b 2) c))))
(* c (+ (* -1 a) (* 1/3 (/ (pow b 2) c))))
(* -1 (* a c))
(* -1 (* c (+ a (* -1/3 (/ (pow b 2) c)))))
(* -1 (* c (+ a (* -1/3 (/ (pow b 2) c)))))
(* -1 (* c (+ a (* -1/3 (/ (pow b 2) c)))))
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(* -9/16 (/ (pow a 2) (pow b 5)))
(* -9/16 (/ (pow a 2) (pow b 5)))
(* -9/16 (/ (pow a 2) (pow b 5)))
(* -9/16 (/ (pow a 2) (pow b 5)))
(* -9/16 (/ (pow a 2) (pow b 5)))
(* -9/16 (/ (pow a 2) (pow b 5)))
(* -9/16 (/ (pow a 2) (pow b 5)))
(* -9/16 (/ (pow a 2) (pow b 5)))
(* -9/16 (/ (pow a 2) (pow b 5)))
(* -9/16 (/ (pow a 2) (pow b 5)))
(* -9/16 (/ (pow a 2) (pow b 5)))
(* -9/16 (/ (pow a 2) (pow b 5)))
(* -9/16 (/ (pow a 2) (pow b 5)))
(* -9/16 (/ (pow a 2) (pow b 5)))
(* -9/16 (/ (pow a 2) (pow b 5)))
(* -9/16 (/ (pow a 2) (pow b 5)))
(* -9/16 (/ (pow a 2) (pow b 5)))
(* -9/16 (/ (pow a 2) (pow b 5)))
(* -9/16 (/ (pow a 2) (pow b 5)))
(* -9/16 (/ (pow a 2) (pow b 5)))
(* -9/16 (/ (pow a 2) (pow b 5)))
(* -9/16 (/ (pow a 2) (pow b 5)))
(* -9/16 (/ (pow a 2) (pow b 5)))
(* -9/16 (/ (pow a 2) (pow b 5)))
(* 405/64 (/ (* (pow a 3) c) (pow b 7)))
(* 405/64 (/ (* (pow a 3) c) (pow b 7)))
(* 405/64 (/ (* (pow a 3) c) (pow b 7)))
(* 405/64 (/ (* (pow a 3) c) (pow b 7)))
(* 405/64 (/ (* (pow a 3) c) (pow b 7)))
(* 405/64 (/ (* (pow a 3) c) (pow b 7)))
(* 405/64 (/ (* (pow a 3) c) (pow b 7)))
(* 405/64 (/ (* (pow a 3) c) (pow b 7)))
(* 405/64 (/ (* (pow a 3) c) (pow b 7)))
(* 405/64 (/ (* (pow a 3) c) (pow b 7)))
(* 405/64 (/ (* (pow a 3) c) (pow b 7)))
(* 405/64 (/ (* (pow a 3) c) (pow b 7)))
(* 405/64 (/ (* (pow a 3) c) (pow b 7)))
(* 405/64 (/ (* (pow a 3) c) (pow b 7)))
(* 405/64 (/ (* (pow a 3) c) (pow b 7)))
(* 405/64 (/ (* (pow a 3) c) (pow b 7)))
(* 405/64 (/ (* (pow a 3) c) (pow b 7)))
(* 405/64 (/ (* (pow a 3) c) (pow b 7)))
(* 405/64 (/ (* (pow a 3) c) (pow b 7)))
(* 405/64 (/ (* (pow a 3) c) (pow b 7)))
(* 405/64 (/ (* (pow a 3) c) (pow b 7)))
(* 405/64 (/ (* (pow a 3) c) (pow b 7)))
(* 405/64 (/ (* (pow a 3) c) (pow b 7)))
(* 405/64 (/ (* (pow a 3) c) (pow b 7)))
(* 405/64 (/ (* (pow a 3) c) (pow b 7)))
(* 405/64 (/ (* (pow a 3) c) (pow b 7)))
(* 405/64 (/ (* (pow a 3) c) (pow b 7)))
(* 405/64 (/ (* (pow a 3) c) (pow b 7)))
(* 405/64 (/ (* (pow a 3) c) (pow b 7)))
(* 405/64 (/ (* (pow a 3) c) (pow b 7)))
(* 405/64 (/ (* (pow a 3) c) (pow b 7)))
(* 405/64 (/ (* (pow a 3) c) (pow b 7)))
(* 405/64 (/ (* (pow a 3) c) (pow b 7)))
(* 405/64 (/ (* (pow a 3) c) (pow b 7)))
(* 405/64 (/ (* (pow a 3) c) (pow b 7)))
(* 405/64 (/ (* (pow a 3) c) (pow b 7)))
(* -3/8 (* a (pow c 2)))
(* -3/8 (* a (pow c 2)))
(* -3/8 (* a (pow c 2)))
(* -3/8 (* a (pow c 2)))
(* -3/8 (* a (pow c 2)))
(* -3/8 (* a (pow c 2)))
(* -3/8 (* a (pow c 2)))
(* -3/8 (* a (pow c 2)))
(* -3/8 (* a (pow c 2)))
(* -3/8 (* a (pow c 2)))
(* -3/8 (* a (pow c 2)))
(* -3/8 (* a (pow c 2)))
(* -3/8 (* a (pow c 2)))
(* -3/8 (* a (pow c 2)))
(* -3/8 (* a (pow c 2)))
(* -3/8 (* a (pow c 2)))
(* -3/8 (* a (pow c 2)))
(* -3/8 (* a (pow c 2)))
(* -3/8 (* a (pow c 2)))
(* -3/8 (* a (pow c 2)))
(* -3/8 (* a (pow c 2)))
(* -3/8 (* a (pow c 2)))
(* -3/8 (* a (pow c 2)))
(* -3/8 (* a (pow c 2)))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* 6 (* a b))
(* a (+ (* -9/2 (/ (* a c) b)) (* 6 b)))
(* a (+ (* 6 b) (* a (+ (* -9/2 (/ c b)) (* -27/8 (/ (* a (pow c 2)) (pow b 3)))))))
(* a (+ (* 6 b) (* a (+ (* -9/2 (/ c b)) (* a (+ (* -81/16 (/ (* a (pow c 3)) (pow b 5))) (* -27/8 (/ (pow c 2) (pow b 3)))))))))
(* 3 (* (sqrt (* (pow a 3) c)) (sqrt -3)))
(* (pow a 2) (+ (* 3 (* (sqrt (/ c a)) (sqrt -3))) (* 3 (/ b a))))
(* (pow a 2) (+ (* 3/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (+ (* 3 (* (sqrt (/ c a)) (sqrt -3))) (* 3 (/ b a)))))
(* (pow a 2) (+ (* -3/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 3/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (+ (* 3 (* (sqrt (/ c a)) (sqrt -3))) (* 3 (/ b a))))))
(* -3 (* (sqrt (* (pow a 3) c)) (* (sqrt -1) (sqrt 3))))
(* (pow a 2) (+ (* -3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* 3 (/ b a))))
(* (pow a 2) (+ (* -3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -3 b) (* 3/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a))))
(* (pow a 2) (+ (* -3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -3 b) (* -1 (/ (+ (* -3/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 3/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a))) a))))
(* 3 (* (sqrt (* (pow a 3) c)) (sqrt -3)))
(+ (* 3 (* a b)) (* 3 (* (sqrt (* (pow a 3) c)) (sqrt -3))))
(+ (* 3 (* (sqrt (* (pow a 3) c)) (sqrt -3))) (* b (+ (* 3/2 (* (sqrt (/ a c)) (/ b (sqrt -3)))) (* 3 a))))
(+ (* 3 (* (sqrt (* (pow a 3) c)) (sqrt -3))) (* b (+ (* 3 a) (* b (+ (* -3/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 3/2 (* (sqrt (/ a c)) (/ 1 (sqrt -3)))))))))
(* 6 (* a b))
(* b (+ (* -9/2 (/ (* (pow a 2) c) (pow b 2))) (* 6 a)))
(* b (+ (* -9/2 (/ (* (pow a 2) c) (pow b 2))) (+ (* -27/8 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* 6 a))))
(* b (+ (* -81/16 (/ (* (pow a 4) (pow c 3)) (pow b 6))) (+ (* -9/2 (/ (* (pow a 2) c) (pow b 2))) (+ (* -27/8 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* 6 a)))))
(* 9/2 (/ (* (pow a 2) c) b))
(* -1 (/ (+ (* -9/2 (* (pow a 2) c)) (* -27/8 (/ (* (pow a 3) (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ (* -81/16 (/ (* (pow a 4) (pow c 3)) (pow b 4))) (+ (* -9/2 (* (pow a 2) c)) (* -27/8 (/ (* (pow a 3) (pow c 2)) (pow b 2))))) b))
(* -1 (/ (+ (* -81/16 (/ (* (pow a 4) (pow c 3)) (pow b 4))) (+ (* -9/2 (* (pow a 2) c)) (+ (* -27/8 (/ (* (pow a 3) (pow c 2)) (pow b 2))) (* -3/2 (/ (* a (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4))))) (pow b 6)))))) b))
(* 6 (* a b))
(+ (* -9/2 (/ (* (pow a 2) c) b)) (* 6 (* a b)))
(+ (* 6 (* a b)) (* c (+ (* -9/2 (/ (pow a 2) b)) (* -27/8 (/ (* (pow a 3) c) (pow b 3))))))
(+ (* 6 (* a b)) (* c (+ (* -9/2 (/ (pow a 2) b)) (* c (+ (* -81/16 (/ (* (pow a 4) c) (pow b 5))) (* -27/8 (/ (pow a 3) (pow b 3))))))))
(* 3 (* (sqrt (* (pow a 3) c)) (sqrt -3)))
(* c (+ (* 3 (* (sqrt (/ (pow a 3) c)) (sqrt -3))) (* 3 (/ (* a b) c))))
(* c (+ (* 3/2 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -3)))) (+ (* 3 (* (sqrt (/ (pow a 3) c)) (sqrt -3))) (* 3 (/ (* a b) c)))))
(* c (+ (* -3/8 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 3/2 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -3)))) (+ (* 3 (* (sqrt (/ (pow a 3) c)) (sqrt -3))) (* 3 (/ (* a b) c))))))
(* -3 (* (sqrt (* (pow a 3) c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* -3 (/ (* a b) c)) (* 3 (* (sqrt (/ (pow a 3) c)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* c (+ (* -1 (/ (+ (* -3/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 3 (* a b))) c)) (* 3 (* (sqrt (/ (pow a 3) c)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -3/8 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3/2 (* (sqrt (* a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 3 (* a b))) c)) (* 3 (* (sqrt (/ (pow a 3) c)) (* (sqrt -1) (sqrt 3)))))))
(* 1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3))))
(* (pow b 2) (+ (* -1/3 (/ b (* (pow a 2) (* c (pow (sqrt -3) 2))))) (* 1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3))))))
(* (pow b 2) (+ (* 1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))) (* b (- (* -1/3 (* b (+ (* -1 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ 1 (pow (sqrt -3) 3))))))) (* 1/3 (/ 1 (* (pow a 2) (* c (pow (sqrt -3) 2)))))))))
(* (pow b 2) (+ (* 1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))) (* b (- (* b (+ (* -1/3 (+ (* -1 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))))) (* 1/3 (* b (- (* 1/2 (/ 1 (* (pow a 3) (* (pow c 2) (pow (sqrt -3) 4))))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ 1 (pow (sqrt -3) 3))))) (sqrt -3))))))))) (* 1/3 (/ 1 (* (pow a 2) (* c (pow (sqrt -3) 2)))))))))
(* 1/6 (/ b a))
(* b (+ (* 1/8 (/ c (pow b 2))) (* 1/6 (/ 1 a))))
(* b (- (+ (* 3/16 (/ (* a (pow c 2)) (pow b 4))) (* 1/6 (/ 1 a))) (* -1/8 (/ c (pow b 2)))))
(* b (- (+ (* -1 (/ (+ (* -9/32 (* (pow a 2) (pow c 3))) (* -9/128 (* (pow a 2) (pow c 3)))) (pow b 6))) (* 1/6 (/ 1 a))) (+ (* -3/16 (/ (* a (pow c 2)) (pow b 4))) (* -1/8 (/ c (pow b 2))))))
(* 2/9 (/ (pow b 3) (* (pow a 2) c)))
(* -1 (* (pow b 3) (- (* 1/6 (/ 1 (* a (pow b 2)))) (* 2/9 (/ 1 (* (pow a 2) c))))))
(* -1 (* (pow b 3) (- (+ (* -1 (/ (+ (* -1/4 c) (* 1/8 c)) (pow b 4))) (/ 1/6 (* a (pow b 2)))) (* 2/9 (/ 1 (* (pow a 2) c))))))
(* -1 (* (pow b 3) (- (+ (* -1 (/ (+ (* -3/4 (* a (* c (+ (* -1/4 c) (* 1/8 c))))) (+ (* -2/27 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* (pow a 3) (pow c 2)))) (* 3/16 (* a (pow c 2))))) (pow b 6))) (/ 1/6 (* a (pow b 2)))) (+ (* -1/4 (/ c (pow b 4))) (+ (* 1/8 (/ c (pow b 4))) (* 2/9 (/ 1 (* (pow a 2) c))))))))
(* 1/6 (/ b a))
(/ (+ (* 1/8 (/ (* a c) b)) (* 1/6 b)) a)
(/ (+ (* 1/6 b) (* a (+ (* 1/8 (/ c b)) (* 3/16 (/ (* a (pow c 2)) (pow b 3)))))) a)
(/ (+ (* 1/6 b) (* a (+ (* 1/8 (/ c b)) (* a (+ (* -1/3 (* a (+ (* -27/32 (/ (pow c 3) (pow b 5))) (* -27/128 (/ (pow c 3) (pow b 5)))))) (* 3/16 (/ (pow c 2) (pow b 3)))))))) a)
(* 1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3))))
(/ (+ (* -1/3 (/ (pow b 3) (* c (pow (sqrt -3) 2)))) (* 1/3 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -3))))) (pow a 2))
(/ (+ (* -1/3 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 4) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 4) (pow (sqrt -3) 3))))) (pow a 2))) (+ (* -1/3 (/ (pow b 3) (* c (pow (sqrt -3) 2)))) (* 1/3 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -3)))))) (pow a 2))
(/ (+ (* -1/3 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 4) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 4) (pow (sqrt -3) 3)))))) (sqrt -3)))) (* -1/2 (/ (* (pow a 2) (pow b 5)) (* (pow c 2) (pow (sqrt -3) 4))))) (pow a 3))) (+ (* -1/3 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 4) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 4) (pow (sqrt -3) 3))))) (pow a 2))) (+ (* -1/3 (/ (pow b 3) (* c (pow (sqrt -3) 2)))) (* 1/3 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -3))))))) (pow a 2))
(* -1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))
(/ (+ (* -1/3 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 (/ (pow b 3) (* c (pow (sqrt 3) 2))))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1/3 (/ (* a (pow b 3)) (* c (pow (sqrt 3) 2)))) (* -1/3 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a))) a)) (* -1/3 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (* -1/2 (/ (* (pow a 2) (pow b 5)) (* (pow c 2) (pow (sqrt 3) 4))))) a)) (* 1/3 (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))))) a)) (* -1/3 (/ (* a (pow b 3)) (* c (pow (sqrt 3) 2))))) a)) (* -1/3 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) (pow a 2))
(* 1/6 (/ b a))
(+ (* 1/8 (/ c b)) (* 1/6 (/ b a)))
(+ (* 1/6 (/ b a)) (* c (+ (* 3/16 (/ (* a c) (pow b 3))) (* 1/8 (/ 1 b)))))
(+ (* 1/6 (/ b a)) (* c (+ (* c (+ (* -1/3 (* c (+ (* -27/32 (/ (pow a 2) (pow b 5))) (* -27/128 (/ (pow a 2) (pow b 5)))))) (* 3/16 (/ a (pow b 3))))) (* 1/8 (/ 1 b)))))
(* 1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3))))
(/ (+ (* -1/3 (/ (pow b 3) (* (pow a 2) (pow (sqrt -3) 2)))) (* 1/3 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -3))))) c)
(/ (+ (* -1/3 (/ (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (pow b 4) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (pow b 4) (pow (sqrt -3) 3))))) (pow c 2))) (+ (* -1/3 (/ (pow b 3) (* (pow a 2) (pow (sqrt -3) 2)))) (* 1/3 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -3)))))) c)
(/ (+ (* -1/3 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (pow b 4) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (pow b 4) (pow (sqrt -3) 3)))))) (sqrt -3)))) (* -1/2 (/ (* (pow b 5) (pow c 2)) (* (pow a 3) (pow (sqrt -3) 4))))) (pow c 3))) (+ (* -1/3 (/ (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (pow b 4) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (pow b 4) (pow (sqrt -3) 3))))) (pow c 2))) (+ (* -1/3 (/ (pow b 3) (* (pow a 2) (pow (sqrt -3) 2)))) (* 1/3 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -3))))))) c)
(* -1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))
(* -1 (/ (+ (* -1/3 (/ (pow b 3) (* (pow a 2) (pow (sqrt 3) 2)))) (* 1/3 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c))
(* -1 (/ (+ (* -1 (/ (+ (* 1/3 (/ (* (pow b 3) c) (* (pow a 2) (pow (sqrt 3) 2)))) (* 1/3 (/ (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) c))) c)) (* 1/3 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))))) (* 1/3 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (* -1/2 (/ (* (pow b 5) (pow c 2)) (* (pow a 3) (pow (sqrt 3) 4))))) c))) c)) (* 1/3 (/ (* (pow b 3) c) (* (pow a 2) (pow (sqrt 3) 2))))) c)) (* 1/3 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c))
Outputs
(* -9/16 (/ (pow a 2) (pow b 5)))
(/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))
(* (pow a 2) (- (* -135/128 (/ (* a c) (pow b 7))) (* 9/16 (/ 1 (pow b 5)))))
(*.f64 (*.f64 a a) (fma.f64 #s(literal -135/128 binary64) (*.f64 a (/.f64 c (pow.f64 b #s(literal 7 binary64)))) (neg.f64 (/.f64 #s(literal 9/16 binary64) (pow.f64 b #s(literal 5 binary64))))))
(* (pow a 2) (- (* -135/128 (/ (* a c) (pow b 7))) (* 9/16 (/ 1 (pow b 5)))))
(*.f64 (*.f64 a a) (fma.f64 #s(literal -135/128 binary64) (*.f64 a (/.f64 c (pow.f64 b #s(literal 7 binary64)))) (neg.f64 (/.f64 #s(literal 9/16 binary64) (pow.f64 b #s(literal 5 binary64))))))
(* (pow a 2) (- (* -135/128 (/ (* a c) (pow b 7))) (* 9/16 (/ 1 (pow b 5)))))
(*.f64 (*.f64 a a) (fma.f64 #s(literal -135/128 binary64) (*.f64 a (/.f64 c (pow.f64 b #s(literal 7 binary64)))) (neg.f64 (/.f64 #s(literal 9/16 binary64) (pow.f64 b #s(literal 5 binary64))))))
(* -135/128 (/ (* (pow a 3) c) (pow b 7)))
(/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 (*.f64 a (*.f64 a a)) c)) (pow.f64 b #s(literal 7 binary64)))
(* (pow a 3) (- (* -135/128 (/ c (pow b 7))) (* 9/16 (/ 1 (* a (pow b 5))))))
(*.f64 (*.f64 a (*.f64 a a)) (-.f64 (*.f64 #s(literal -135/128 binary64) (/.f64 c (pow.f64 b #s(literal 7 binary64)))) (/.f64 #s(literal 9/16 binary64) (*.f64 a (pow.f64 b #s(literal 5 binary64))))))
(* (pow a 3) (- (* -135/128 (/ c (pow b 7))) (* 9/16 (/ 1 (* a (pow b 5))))))
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(* -1 (* (pow b 3) (- (+ (* -1 (/ (+ (* -1/4 c) (* 1/8 c)) (pow b 4))) (/ 1/6 (* a (pow b 2)))) (* 2/9 (/ 1 (* (pow a 2) c))))))
(*.f64 (neg.f64 (*.f64 b (*.f64 b b))) (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 b b))) (/.f64 (*.f64 c #s(literal -1/8 binary64)) (pow.f64 b #s(literal 4 binary64)))) (/.f64 #s(literal 2/9 binary64) (*.f64 (*.f64 a a) c))))
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(* 1/6 (/ b a))
(/.f64 (*.f64 #s(literal 1/6 binary64) b) a)
(/ (+ (* 1/8 (/ (* a c) b)) (* 1/6 b)) a)
(/.f64 (fma.f64 #s(literal 1/6 binary64) b (*.f64 #s(literal 1/8 binary64) (*.f64 a (/.f64 c b)))) a)
(/ (+ (* 1/6 b) (* a (+ (* 1/8 (/ c b)) (* 3/16 (/ (* a (pow c 2)) (pow b 3)))))) a)
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(/ (+ (* 1/6 b) (* a (+ (* 1/8 (/ c b)) (* a (+ (* -1/3 (* a (+ (* -27/32 (/ (pow c 3) (pow b 5))) (* -27/128 (/ (pow c 3) (pow b 5)))))) (* 3/16 (/ (pow c 2) (pow b 3)))))))) a)
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(* 1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3))))
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(/ (+ (* -1/3 (/ (pow b 3) (* c (pow (sqrt -3) 2)))) (* 1/3 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -3))))) (pow a 2))
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(* -1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))
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(/ (+ (* -1/3 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 (/ (pow b 3) (* c (pow (sqrt 3) 2))))) (pow a 2))
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(/.f64 (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (/.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))))) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 a (*.f64 b (*.f64 b b)))) (*.f64 c #s(literal 3 binary64))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 a c))) (/.f64 (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c)))) (/.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64))))) #s(literal -1/2 binary64))) (sqrt.f64 #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64)))) (*.f64 (*.f64 c c) (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 4 binary64))))) a) (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c)))) (/.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64))))) #s(literal -1/2 binary64)))) a)) a)) (*.f64 a a))
(* 1/6 (/ b a))
(/.f64 (*.f64 #s(literal 1/6 binary64) b) a)
(+ (* 1/8 (/ c b)) (* 1/6 (/ b a)))
(fma.f64 #s(literal 1/8 binary64) (/.f64 c b) (/.f64 (*.f64 #s(literal 1/6 binary64) b) a))
(+ (* 1/6 (/ b a)) (* c (+ (* 3/16 (/ (* a c) (pow b 3))) (* 1/8 (/ 1 b)))))
(fma.f64 c (fma.f64 #s(literal 3/16 binary64) (/.f64 (*.f64 a c) (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1/8 binary64) b)) (/.f64 (*.f64 #s(literal 1/6 binary64) b) a))
(+ (* 1/6 (/ b a)) (* c (+ (* c (+ (* -1/3 (* c (+ (* -27/32 (/ (pow a 2) (pow b 5))) (* -27/128 (/ (pow a 2) (pow b 5)))))) (* 3/16 (/ a (pow b 3))))) (* 1/8 (/ 1 b)))))
(fma.f64 c (fma.f64 c (fma.f64 (*.f64 #s(literal -1/3 binary64) c) (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) #s(literal -135/128 binary64)) (/.f64 (*.f64 #s(literal 3/16 binary64) a) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 1/8 binary64) b)) (/.f64 (*.f64 #s(literal 1/6 binary64) b) a))
(* 1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3))))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) c))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64)))))
(/ (+ (* -1/3 (/ (pow b 3) (* (pow a 2) (pow (sqrt -3) 2)))) (* 1/3 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -3))))) c)
(/.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 c (*.f64 a (*.f64 a a)))) (*.f64 b b)) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) #s(literal -3 binary64)))) c)
(/ (+ (* -1/3 (/ (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (pow b 4) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (pow b 4) (pow (sqrt -3) 3))))) (pow c 2))) (+ (* -1/3 (/ (pow b 3) (* (pow a 2) (pow (sqrt -3) 2)))) (* 1/3 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -3)))))) c)
(/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 a #s(literal 5 binary64)))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -3 binary64)))) #s(literal -1/2 binary64)) (*.f64 c c)) (fma.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 c (*.f64 a (*.f64 a a)))) (*.f64 b b)) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) #s(literal -3 binary64))))) c)
(/ (+ (* -1/3 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (pow b 4) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (pow b 4) (pow (sqrt -3) 3)))))) (sqrt -3)))) (* -1/2 (/ (* (pow b 5) (pow c 2)) (* (pow a 3) (pow (sqrt -3) 4))))) (pow c 3))) (+ (* -1/3 (/ (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (pow b 4) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (pow b 4) (pow (sqrt -3) 3))))) (pow c 2))) (+ (* -1/3 (/ (pow b 3) (* (pow a 2) (pow (sqrt -3) 2)))) (* 1/3 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -3))))))) c)
(/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 c a))) (/.f64 (*.f64 b (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 a #s(literal 5 binary64)))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -3 binary64)))) #s(literal -1/2 binary64))) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 b #s(literal 5 binary64)) (*.f64 c c))) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 4 binary64))))) (*.f64 c (*.f64 c c))) (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 a #s(literal 5 binary64)))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -3 binary64)))) #s(literal -1/2 binary64)) (*.f64 c c)) (fma.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 c (*.f64 a (*.f64 a a)))) (*.f64 b b)) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) #s(literal -3 binary64)))))) c)
(* -1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))
(*.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) c))) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 3 binary64))))
(* -1 (/ (+ (* -1/3 (/ (pow b 3) (* (pow a 2) (pow (sqrt 3) 2)))) (* 1/3 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c))
(neg.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 c (*.f64 a (*.f64 a a)))) (/.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64)))) (/.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) #s(literal 3 binary64)))) c))
(* -1 (/ (+ (* -1 (/ (+ (* 1/3 (/ (* (pow b 3) c) (* (pow a 2) (pow (sqrt 3) 2)))) (* 1/3 (/ (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) c))) c)) (* 1/3 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c))
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(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))))) (* 1/3 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (* -1/2 (/ (* (pow b 5) (pow c 2)) (* (pow a 3) (pow (sqrt 3) 4))))) c))) c)) (* 1/3 (/ (* (pow b 3) c) (* (pow a 2) (pow (sqrt 3) 2))))) c)) (* 1/3 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c))
(neg.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 c (*.f64 a (*.f64 a a)))) (/.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))))) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b (*.f64 b b)) c)) (*.f64 (*.f64 a a) #s(literal 3 binary64))) (/.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 c a))) (/.f64 (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 a #s(literal 5 binary64)))) (/.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64))))) #s(literal -1/2 binary64))) (sqrt.f64 #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 b #s(literal 5 binary64)) (*.f64 c c))) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 4 binary64))))) c) (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 a #s(literal 5 binary64)))) (/.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64))))) #s(literal -1/2 binary64)))) c)) c)) c))

rewrite500.0ms (3.4%)

Memory
24.3MiB live, 692.2MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 536×lower-*.f32
5 494×lower-*.f64
3 834×lower-fma.f32
3 822×lower-fma.f64
2 946×lower-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
075616
0125541
1555478
25795468
09130468
Stop Event
iter limit
node limit
iter limit
Counts
26 → 911
Calls
Call 1
Inputs
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b (*.f64 b b))) (*.f64 c (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))))) (*.f64 c c) (/.f64 c (*.f64 b #s(literal -2 binary64)))))
(fma.f64 (fma.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b (*.f64 b b))) (*.f64 c (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))))) (*.f64 c c) (/.f64 c (*.f64 b #s(literal -2 binary64))))
(fma.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b (*.f64 b b))) (*.f64 c (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal -1/2 binary64) b) c))
(*.f64 (/.f64 #s(literal -1/2 binary64) b) c)
(/.f64 #s(literal -1/2 binary64) b)
(fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b)))
#s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (/.f64 (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b))
(/.f64 (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b)
(/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))
(-.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))) (*.f64 b b))
(/.f64 (-.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))) (*.f64 b b)) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))))
(fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))
(*.f64 #s(literal -3 binary64) (*.f64 a c))
(fma.f64 (/.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))) #s(literal 3 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))) a) (neg.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))) a)
(neg.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))))
(/.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))) #s(literal 3 binary64))
(*.f64 (*.f64 a a) (*.f64 a a))
(/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))
(/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b)))
(*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))
(*.f64 a (*.f64 c c))
(*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))
(/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))))
Outputs
(+.f64 (/.f64 (*.f64 a (*.f64 a #s(literal -9/16 binary64))) (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 #s(literal 405/64 binary64) c) #s(literal -1/6 binary64))) (*.f64 b (*.f64 a (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))))))
(+.f64 (/.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 #s(literal 405/64 binary64) c) #s(literal -1/6 binary64))) (*.f64 b (*.f64 a (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))))) (/.f64 (*.f64 a (*.f64 a #s(literal -9/16 binary64))) (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))))
(+.f64 (/.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 #s(literal 405/64 binary64) c) #s(literal -1/6 binary64))) (*.f64 b (*.f64 a (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))))) (*.f64 (neg.f64 (*.f64 a a)) (/.f64 #s(literal -9/16 binary64) (*.f64 b (*.f64 b (*.f64 b (*.f64 b b)))))))
(+.f64 (/.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 #s(literal 405/64 binary64) c) #s(literal -1/6 binary64))) (*.f64 b (*.f64 a (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))))) (*.f64 (neg.f64 (/.f64 (*.f64 a a) (*.f64 b b))) (/.f64 #s(literal -9/16 binary64) (*.f64 b (*.f64 b b)))))
(-.f64 (/.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 #s(literal 405/64 binary64) c) #s(literal -1/6 binary64))) (*.f64 b (*.f64 a (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))))) (/.f64 (*.f64 a (*.f64 a #s(literal -9/16 binary64))) (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 #s(literal 405/64 binary64) c) #s(literal -1/6 binary64))) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 #s(literal 405/64 binary64) c) #s(literal -1/6 binary64)))) (*.f64 (*.f64 b (*.f64 a (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (*.f64 b (*.f64 a (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))))) (fma.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (/.f64 (*.f64 #s(literal 405/64 binary64) c) (*.f64 b (*.f64 a (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))))) #s(literal -1/6 binary64)) (/.f64 (*.f64 a (*.f64 a #s(literal -9/16 binary64))) (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))))) (/.f64 (/.f64 (*.f64 (*.f64 a (*.f64 a #s(literal -9/16 binary64))) (*.f64 a (*.f64 a #s(literal -9/16 binary64)))) (*.f64 (*.f64 b (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 b (*.f64 b (*.f64 b (*.f64 b b)))))) (fma.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (/.f64 (*.f64 #s(literal 405/64 binary64) c) (*.f64 b (*.f64 a (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))))) #s(literal -1/6 binary64)) (/.f64 (*.f64 a (*.f64 a #s(literal -9/16 binary64))) (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))))))
(fma.f64 a (*.f64 a (/.f64 #s(literal -9/16 binary64) (*.f64 b (*.f64 b (*.f64 b (*.f64 b b)))))) (/.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 #s(literal 405/64 binary64) c) #s(literal -1/6 binary64))) (*.f64 b (*.f64 a (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))))))
(fma.f64 a (*.f64 (*.f64 a #s(literal -9/16 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (*.f64 b (*.f64 b b)))))) (/.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 #s(literal 405/64 binary64) c) #s(literal -1/6 binary64))) (*.f64 b (*.f64 a (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))))))
(fma.f64 a (/.f64 (*.f64 a #s(literal -9/16 binary64)) (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 #s(literal 405/64 binary64) c) #s(literal -1/6 binary64))) (*.f64 b (*.f64 a (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))))))
(fma.f64 (*.f64 a a) (/.f64 #s(literal -9/16 binary64) (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 #s(literal 405/64 binary64) c) #s(literal -1/6 binary64))) (*.f64 b (*.f64 a (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))))))
(fma.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (/.f64 (*.f64 #s(literal 405/64 binary64) c) (*.f64 b (*.f64 a (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))))) #s(literal -1/6 binary64)) (/.f64 (*.f64 a (*.f64 a #s(literal -9/16 binary64))) (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))))
(fma.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (/.f64 (*.f64 #s(literal 405/64 binary64) c) (*.f64 b (*.f64 a (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))))) #s(literal -1/6 binary64)) (*.f64 (neg.f64 (*.f64 a a)) (/.f64 #s(literal -9/16 binary64) (*.f64 b (*.f64 b (*.f64 b (*.f64 b b)))))))
(fma.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (/.f64 (*.f64 #s(literal 405/64 binary64) c) (*.f64 b (*.f64 a (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))))) #s(literal -1/6 binary64)) (*.f64 (neg.f64 (/.f64 (*.f64 a a) (*.f64 b b))) (/.f64 #s(literal -9/16 binary64) (*.f64 b (*.f64 b b)))))
(fma.f64 (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 #s(literal 405/64 binary64) c)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 a (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))))) #s(literal -1/6 binary64)) (/.f64 (*.f64 a (*.f64 a #s(literal -9/16 binary64))) (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))))
(fma.f64 (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 #s(literal 405/64 binary64) c)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 a (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))))) #s(literal -1/6 binary64)) (*.f64 (neg.f64 (*.f64 a a)) (/.f64 #s(literal -9/16 binary64) (*.f64 b (*.f64 b (*.f64 b (*.f64 b b)))))))
(fma.f64 (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 #s(literal 405/64 binary64) c)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 a (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))))) #s(literal -1/6 binary64)) (*.f64 (neg.f64 (/.f64 (*.f64 a a) (*.f64 b b))) (/.f64 #s(literal -9/16 binary64) (*.f64 b (*.f64 b b)))))
(fma.f64 (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 #s(literal 405/64 binary64) c)))) (/.f64 #s(literal -1/6 binary64) (*.f64 b (*.f64 a (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))))) (/.f64 (*.f64 a (*.f64 a #s(literal -9/16 binary64))) (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))))
(fma.f64 (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 #s(literal 405/64 binary64) c)))) (/.f64 #s(literal -1/6 binary64) (*.f64 b (*.f64 a (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))))) (*.f64 (neg.f64 (*.f64 a a)) (/.f64 #s(literal -9/16 binary64) (*.f64 b (*.f64 b (*.f64 b (*.f64 b b)))))))
(fma.f64 (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 #s(literal 405/64 binary64) c)))) (/.f64 #s(literal -1/6 binary64) (*.f64 b (*.f64 a (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))))) (*.f64 (neg.f64 (/.f64 (*.f64 a a) (*.f64 b b))) (/.f64 #s(literal -9/16 binary64) (*.f64 b (*.f64 b b)))))
(fma.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 #s(literal 405/64 binary64) c)))) (*.f64 b (*.f64 a (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))))) #s(literal -1/6 binary64) (/.f64 (*.f64 a (*.f64 a #s(literal -9/16 binary64))) (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))))
(fma.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 #s(literal 405/64 binary64) c)))) (*.f64 b (*.f64 a (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))))) #s(literal -1/6 binary64) (*.f64 (neg.f64 (*.f64 a a)) (/.f64 #s(literal -9/16 binary64) (*.f64 b (*.f64 b (*.f64 b (*.f64 b b)))))))
(fma.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 #s(literal 405/64 binary64) c)))) (*.f64 b (*.f64 a (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))))) #s(literal -1/6 binary64) (*.f64 (neg.f64 (/.f64 (*.f64 a a) (*.f64 b b))) (/.f64 #s(literal -9/16 binary64) (*.f64 b (*.f64 b b)))))
(fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 #s(literal 405/64 binary64) c)))) (*.f64 b (*.f64 a (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))))) (/.f64 (*.f64 a (*.f64 a #s(literal -9/16 binary64))) (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))))
(fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 #s(literal 405/64 binary64) c)))) (*.f64 b (*.f64 a (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))))) (*.f64 (neg.f64 (*.f64 a a)) (/.f64 #s(literal -9/16 binary64) (*.f64 b (*.f64 b (*.f64 b (*.f64 b b)))))))
(fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 #s(literal 405/64 binary64) c)))) (*.f64 b (*.f64 a (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))))) (*.f64 (neg.f64 (/.f64 (*.f64 a a) (*.f64 b b))) (/.f64 #s(literal -9/16 binary64) (*.f64 b (*.f64 b b)))))
(fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 a a) (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 #s(literal 405/64 binary64) c) #s(literal -1/6 binary64))) (*.f64 b (*.f64 a (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))))))
(fma.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (*.f64 b (*.f64 b b)))))) (/.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 #s(literal 405/64 binary64) c) #s(literal -1/6 binary64))) (*.f64 b (*.f64 a (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))))))
(fma.f64 (*.f64 a (*.f64 a #s(literal -9/16 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 #s(literal 405/64 binary64) c) #s(literal -1/6 binary64))) (*.f64 b (*.f64 a (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))))))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 a #s(literal -9/16 binary64))) (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 #s(literal 405/64 binary64) c) #s(literal -1/6 binary64))) (*.f64 b (*.f64 a (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))))))
(fma.f64 (*.f64 (*.f64 a a) #s(literal 9/16 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 #s(literal 405/64 binary64) c) #s(literal -1/6 binary64))) (*.f64 b (*.f64 a (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))))))
(fma.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 (*.f64 #s(literal 405/64 binary64) (/.f64 c (*.f64 a b))) #s(literal -1/6 binary64)) (/.f64 (*.f64 a (*.f64 a #s(literal -9/16 binary64))) (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))))
(fma.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 (*.f64 #s(literal 405/64 binary64) (/.f64 c (*.f64 a b))) #s(literal -1/6 binary64)) (*.f64 (neg.f64 (*.f64 a a)) (/.f64 #s(literal -9/16 binary64) (*.f64 b (*.f64 b (*.f64 b (*.f64 b b)))))))
(fma.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 (*.f64 #s(literal 405/64 binary64) (/.f64 c (*.f64 a b))) #s(literal -1/6 binary64)) (*.f64 (neg.f64 (/.f64 (*.f64 a a) (*.f64 b b))) (/.f64 #s(literal -9/16 binary64) (*.f64 b (*.f64 b b)))))
(fma.f64 (/.f64 (*.f64 a a) (*.f64 b b)) (/.f64 #s(literal -9/16 binary64) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 #s(literal 405/64 binary64) c) #s(literal -1/6 binary64))) (*.f64 b (*.f64 a (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))))))
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(fma.f64 #s(literal 3 binary64) (*.f64 a b) (*.f64 (*.f64 a #s(literal 3 binary64)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)))))
(fma.f64 #s(literal 3 binary64) (*.f64 a (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)))) (*.f64 b (*.f64 a #s(literal 3 binary64))))
(fma.f64 (*.f64 a #s(literal 3 binary64)) b (*.f64 (*.f64 a #s(literal 3 binary64)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)))))
(fma.f64 (*.f64 a #s(literal 3 binary64)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) (*.f64 b (*.f64 a #s(literal 3 binary64))))
(fma.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) (*.f64 a #s(literal 3 binary64)) (*.f64 b (*.f64 a #s(literal 3 binary64))))
(fma.f64 (*.f64 b #s(literal 3 binary64)) a (*.f64 (*.f64 a #s(literal 3 binary64)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)))))
(fma.f64 (*.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) #s(literal 3 binary64)) a (*.f64 b (*.f64 a #s(literal 3 binary64))))
(fma.f64 (*.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) a) #s(literal 3 binary64) (*.f64 b (*.f64 a #s(literal 3 binary64))))
(/.f64 (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 #s(literal 27 binary64) (*.f64 a (*.f64 a a))) (*.f64 (*.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)))) (*.f64 #s(literal 27 binary64) (*.f64 a (*.f64 a a))))) (fma.f64 (*.f64 b (*.f64 a #s(literal 3 binary64))) (*.f64 b (*.f64 a #s(literal 3 binary64))) (-.f64 (*.f64 (*.f64 (*.f64 a #s(literal 3 binary64)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)))) (*.f64 (*.f64 a #s(literal 3 binary64)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))))) (*.f64 (*.f64 b (*.f64 a #s(literal 3 binary64))) (*.f64 (*.f64 a #s(literal 3 binary64)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))))))))
(/.f64 (-.f64 (*.f64 (*.f64 b (*.f64 a #s(literal 3 binary64))) (*.f64 b (*.f64 a #s(literal 3 binary64)))) (*.f64 (*.f64 (*.f64 a #s(literal 3 binary64)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)))) (*.f64 (*.f64 a #s(literal 3 binary64)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)))))) (-.f64 (*.f64 b (*.f64 a #s(literal 3 binary64))) (*.f64 (*.f64 a #s(literal 3 binary64)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))))))
(/.f64 (*.f64 (*.f64 a #s(literal 3 binary64)) (fma.f64 b (*.f64 b b) (*.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)))))) (-.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (fma.f64 b b (*.f64 b b))) (*.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))))))
(/.f64 (*.f64 (*.f64 a #s(literal 3 binary64)) (-.f64 (*.f64 b b) (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)))) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)))))
(/.f64 (*.f64 (fma.f64 b (*.f64 b b) (*.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 3 binary64))) (-.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (fma.f64 b b (*.f64 b b))) (*.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))))))
(/.f64 (*.f64 (-.f64 (*.f64 b b) (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)))))
(*.f64 a (*.f64 #s(literal 3 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))))))
(*.f64 #s(literal 3 binary64) (*.f64 a (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))))))
(*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)))))
(*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)))) (*.f64 a #s(literal 3 binary64)))
(*.f64 (*.f64 #s(literal 3 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))))) a)
(*.f64 (*.f64 a (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))))) #s(literal 3 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))))) (*.f64 b b))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (*.f64 b b) (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)))) (*.f64 a #s(literal -3 binary64)))))
(/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))))))
(/.f64 (*.f64 b b) (neg.f64 (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)))) (*.f64 a #s(literal -3 binary64)))))
(/.f64 (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))))) (*.f64 b b)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 3 binary64)) (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))))) (*.f64 b b)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)))) (*.f64 b (/.f64 b (*.f64 a #s(literal 3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))))) (*.f64 b b))))
(/.f64 (neg.f64 (*.f64 b b)) (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)))) (*.f64 a #s(literal -3 binary64))))
(/.f64 (/.f64 (*.f64 b b) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))))) (*.f64 a #s(literal -3 binary64)))
(/.f64 (*.f64 b (/.f64 b (*.f64 a #s(literal 3 binary64)))) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)))))
(/.f64 (*.f64 (*.f64 b b) #s(literal 1 binary64)) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))))))
(/.f64 (neg.f64 (*.f64 b (/.f64 b (*.f64 a #s(literal 3 binary64))))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)))))
(/.f64 (/.f64 (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))))) #s(literal 3 binary64)) a)
(/.f64 (/.f64 (*.f64 b b) a) (*.f64 #s(literal 3 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))))))
(/.f64 (*.f64 (/.f64 b (*.f64 a #s(literal 3 binary64))) b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)))))
(/.f64 (/.f64 (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))))) a) #s(literal 3 binary64))
(pow.f64 (/.f64 (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))))) (*.f64 b b)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 a #s(literal 3 binary64)) (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))))) (*.f64 b b)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)))) (*.f64 b (/.f64 b (*.f64 a #s(literal 3 binary64))))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)))) (*.f64 b b)) (*.f64 a #s(literal 3 binary64))) #s(literal -1 binary64))
(*.f64 b (/.f64 b (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)))))))
(*.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)))))))
(*.f64 (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))))) (/.f64 #s(literal 1/3 binary64) a))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)))))))
(*.f64 (neg.f64 (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)))) (*.f64 a #s(literal -3 binary64)))))
(*.f64 (/.f64 b (*.f64 a #s(literal 3 binary64))) (/.f64 b (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)))))) (*.f64 b b))
(*.f64 (*.f64 b (/.f64 b (*.f64 a #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))))))
(*.f64 (/.f64 b (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)))))) b)
(*.f64 (/.f64 b (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))))) (/.f64 b (*.f64 a #s(literal 3 binary64))))
(*.f64 (/.f64 b a) (/.f64 (/.f64 b (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))))) #s(literal 3 binary64)))
(*.f64 (/.f64 b a) (/.f64 b (*.f64 #s(literal 3 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)))))))
(*.f64 (/.f64 b #s(literal 3 binary64)) (/.f64 (/.f64 b (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))))) a))
(*.f64 (/.f64 (*.f64 b b) a) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))))) #s(literal 3 binary64)))
(*.f64 (/.f64 (*.f64 b b) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 a (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)))))))
(*.f64 (/.f64 (*.f64 b (/.f64 b (*.f64 a #s(literal 3 binary64)))) (fma.f64 b (*.f64 b b) (*.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)))))) (-.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (fma.f64 b b (*.f64 b b))) (*.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))))))
(*.f64 (/.f64 (*.f64 b (/.f64 b (*.f64 a #s(literal 3 binary64)))) (-.f64 (*.f64 b b) (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)))) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)))))

eval495.0ms (3.4%)

Memory
18.9MiB live, 882.2MiB allocated
Compiler

Compiled 114 731 to 5 761 computations (95% saved)

prune430.0ms (2.9%)

Memory
-14.4MiB live, 769.5MiB allocated
Pruning

26 alts after pruning (23 fresh and 3 done)

PrunedKeptTotal
New2 302112 313
Fresh211233
Picked415
Done123
Total2 328262 354
Accuracy
100.0%
Counts
2 354 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.2%
(/.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (-.f64 (*.f64 b b) (*.f64 b b))) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))))
99.4%
(/.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (-.f64 (*.f64 b b) (*.f64 b b))) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))))
19.8%
(/.f64 (fma.f64 (sqrt.f64 (*.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))) (fma.f64 a (*.f64 #s(literal 3 binary64) c) (*.f64 b b)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 #s(literal 3 binary64) c) (*.f64 b b))) #s(literal 1/2 binary64)) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a))
18.1%
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) a) #s(literal 3 binary64))
18.1%
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) (*.f64 a #s(literal 3 binary64)))
18.1%
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 1/3 binary64)) a)
89.7%
(/.f64 #s(approx (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b)) (*.f64 #s(literal 3 binary64) a))
99.2%
(/.f64 #s(approx (- (+ (* b b) (* -3 (* a c))) (* b b)) (*.f64 #s(literal -3 binary64) (*.f64 a c))) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))))
18.1%
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 1/3 binary64))))
18.8%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)))))) (-.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)) (*.f64 b b)))
18.1%
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 1/3 binary64)))
18.1%
(*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))
18.1%
(*.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b)) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64))))
95.7%
#s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (/.f64 #s(approx (+ (* c -1/2) (/ (* -3/8 (* a (* c c))) (* b b))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) c) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b b))) b))
95.4%
#s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (/.f64 #s(approx (+ (* c -1/2) (/ (* -3/8 (* a (* c c))) (* b b))) (*.f64 (*.f64 c c) (-.f64 (*.f64 #s(literal -3/8 binary64) (/.f64 a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) c)))) b))
95.8%
#s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (/.f64 #s(approx (+ (* c -1/2) (/ (* -3/8 (* a (* c c))) (* b b))) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -1/2 binary64)))) b))
95.5%
#s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (*.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) b)))
95.3%
#s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) #s(approx (/ (+ (* c -1/2) (/ (* -3/8 (* a (* c c))) (* b b))) b) (*.f64 (*.f64 c c) (-.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) (*.f64 b c))))))
97.6%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 #s(approx (+ (* a (/ -3/8 (* b (* b b)))) (* c (+ (* (/ (* (* (* a a) (* a a)) (* 405/64 c)) (* (* b (* (* b b) (* b (* b b)))) (* a b))) -1/6) (/ (* (* a a) -9/16) (* (* b b) (* b (* b b))))))) (/.f64 (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 (*.f64 a a) c) (*.f64 b b)) (*.f64 #s(literal -3/8 binary64) a)) (*.f64 b (*.f64 b b)))) (*.f64 c c) (/.f64 c (*.f64 b #s(literal -2 binary64)))))
95.5%
#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 a (*.f64 c c)) #s(literal -3/8 binary64)) (*.f64 b (*.f64 b b)))))
90.1%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (/.f64 c b))))
89.9%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c)))
97.9%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 c (fma.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b (*.f64 b b))) (*.f64 c (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))))) (/.f64 #s(literal -1/2 binary64) b)) c))
90.0%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal -1/2 binary64) b) c))
95.5%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b))))
90.3%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))
Compiler

Compiled 1 160 to 667 computations (42.5% saved)

simplify250.0ms (1.7%)

Memory
-12.7MiB live, 419.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (+ (* c -1/2) (/ (* -3/8 (* a (* c c))) (* b b))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) c) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b b)))
cost-diff0
(/.f64 #s(approx (+ (* c -1/2) (/ (* -3/8 (* a (* c c))) (* b b))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) c) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b b))) b)
cost-diff0
#s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (/.f64 #s(approx (+ (* c -1/2) (/ (* -3/8 (* a (* c c))) (* b b))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) c) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b b))) b))
cost-diff320
(fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) c) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))))
cost-diff0
(-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b)
cost-diff0
(*.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b)) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64))))
cost-diff128
(neg.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b))
cost-diff320
(/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64)))
cost-diff0
(sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))
cost-diff0
(-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b)
cost-diff0
(*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 1/3 binary64))
cost-diff0
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 1/3 binary64)) a)
cost-diff0
(/.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-diff384
(/.f64 #s(literal -1/2 binary64) (/.f64 b c))
cost-diff0
(*.f64 a #s(literal -3 binary64))
cost-diff64
(fma.f64 (*.f64 a #s(literal -3 binary64)) c (-.f64 (*.f64 b b) (*.f64 b b)))
cost-diff832
(-.f64 (*.f64 b b) (*.f64 b b))
cost-diff1152
(/.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (-.f64 (*.f64 b b) (*.f64 b b))) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))))
Rules
6 188×lower-fma.f32
6 182×lower-fma.f64
3 840×lower-*.f32
3 816×lower-*.f64
2 142×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
062504
093487
1203455
2441445
31372429
44439429
08484421
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (-.f64 (*.f64 b b) (*.f64 b b))) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))))
(fma.f64 (*.f64 a #s(literal -3 binary64)) c (-.f64 (*.f64 b b) (*.f64 b b)))
(*.f64 a #s(literal -3 binary64))
a
#s(literal -3 binary64)
c
(-.f64 (*.f64 b b) (*.f64 b b))
(*.f64 b b)
b
(*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))
(*.f64 a #s(literal 3 binary64))
#s(literal 3 binary64)
(+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))
(sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))
(fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))
(*.f64 #s(literal -3 binary64) (*.f64 a c))
(*.f64 a c)
#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 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 1/3 binary64)) a)
(*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 1/3 binary64))
(-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b)
(sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))
(fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))
b
(*.f64 #s(literal -3 binary64) (*.f64 a c))
#s(literal -3 binary64)
(*.f64 a c)
a
c
#s(literal 1/3 binary64)
(*.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b)) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64))))
(neg.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b))
(-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b)
(sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))
(fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))
b
(*.f64 #s(literal -3 binary64) (*.f64 a c))
#s(literal -3 binary64)
(*.f64 a c)
a
c
(/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64)))
#s(literal 1 binary64)
(*.f64 a #s(literal -3 binary64))
#s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (/.f64 #s(approx (+ (* c -1/2) (/ (* -3/8 (* a (* c c))) (* b b))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) c) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b b))) b))
(/.f64 #s(approx (+ (* c -1/2) (/ (* -3/8 (* a (* c c))) (* b b))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) c) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b b))) b)
#s(approx (+ (* c -1/2) (/ (* -3/8 (* a (* c c))) (* b b))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) c) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b b)))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) c) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.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))))
#s(literal -1/2 binary64)
(*.f64 (*.f64 b b) c)
(*.f64 b b)
b
c
(*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))
#s(literal -3/8 binary64)
(*.f64 a (*.f64 c c))
a
(*.f64 c c)
Outputs
(/.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (-.f64 (*.f64 b b) (*.f64 b b))) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))))
(/.f64 c (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))
(fma.f64 (*.f64 a #s(literal -3 binary64)) c (-.f64 (*.f64 b b) (*.f64 b b)))
(*.f64 a (*.f64 #s(literal -3 binary64) c))
(*.f64 a #s(literal -3 binary64))
a
#s(literal -3 binary64)
c
(-.f64 (*.f64 b b) (*.f64 b b))
#s(literal 0 binary64)
(*.f64 b b)
b
(*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))
(*.f64 a (*.f64 #s(literal 3 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))
(*.f64 a #s(literal 3 binary64))
#s(literal 3 binary64)
(+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))
(+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))
(sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))
(sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))
(fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))
(fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))
(*.f64 #s(literal -3 binary64) (*.f64 a c))
(*.f64 a (*.f64 #s(literal -3 binary64) c))
(*.f64 a c)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))
(/.f64 #s(literal -1/2 binary64) (/.f64 b c))
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b)
#s(literal -1/2 binary64)
(/.f64 b c)
b
c
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 1/3 binary64)) a)
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64)))
(*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 1/3 binary64))
(*.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) b) #s(literal 1/3 binary64))
(-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b)
(-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) b)
(sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))
(sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))
(fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))
(fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))
b
(*.f64 #s(literal -3 binary64) (*.f64 a c))
(*.f64 a (*.f64 #s(literal -3 binary64) c))
#s(literal -3 binary64)
(*.f64 a c)
a
c
#s(literal 1/3 binary64)
(*.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b)) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64))))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64)))
(neg.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b))
(-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))
(-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b)
(-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) b)
(sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))
(sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))
(fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))
(fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))
b
(*.f64 #s(literal -3 binary64) (*.f64 a c))
(*.f64 a (*.f64 #s(literal -3 binary64) c))
#s(literal -3 binary64)
(*.f64 a c)
a
c
(/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64)))
(/.f64 #s(literal -1/3 binary64) a)
#s(literal 1 binary64)
(*.f64 a #s(literal -3 binary64))
#s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (/.f64 #s(approx (+ (* c -1/2) (/ (* -3/8 (* a (* c c))) (* b b))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) c) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b b))) b))
#s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (/.f64 #s(approx (+ (* c -1/2) (/ (* -3/8 (* a (* c c))) (* b b))) (/.f64 (*.f64 c (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) (*.f64 (*.f64 a c) #s(literal -3/8 binary64)))) (*.f64 b b))) b))
(/.f64 #s(approx (+ (* c -1/2) (/ (* -3/8 (* a (* c c))) (* b b))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) c) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b b))) b)
(/.f64 #s(approx (+ (* c -1/2) (/ (* -3/8 (* a (* c c))) (* b b))) (/.f64 (*.f64 c (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) (*.f64 (*.f64 a c) #s(literal -3/8 binary64)))) (*.f64 b b))) b)
#s(approx (+ (* c -1/2) (/ (* -3/8 (* a (* c c))) (* b b))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) c) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b b)))
#s(approx (+ (* c -1/2) (/ (* -3/8 (* a (* c c))) (* b b))) (/.f64 (*.f64 c (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) (*.f64 (*.f64 a c) #s(literal -3/8 binary64)))) (*.f64 b b)))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) c) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b b))
(/.f64 (*.f64 c (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) (*.f64 (*.f64 a c) #s(literal -3/8 binary64)))) (*.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))))
(*.f64 c (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) (*.f64 (*.f64 a c) #s(literal -3/8 binary64))))
#s(literal -1/2 binary64)
(*.f64 (*.f64 b b) c)
(*.f64 c (*.f64 b b))
(*.f64 b b)
b
c
(*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))
(*.f64 a (*.f64 #s(literal -3/8 binary64) (*.f64 c c)))
#s(literal -3/8 binary64)
(*.f64 a (*.f64 c c))
a
(*.f64 c c)

localize216.0ms (1.5%)

Memory
6.0MiB live, 365.7MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy99.9%
(*.f64 a (*.f64 c c))
accuracy99.9%
(*.f64 (*.f64 b b) c)
accuracy99.9%
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) c) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b b))
accuracy95.8%
#s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (/.f64 #s(approx (+ (* c -1/2) (/ (* -3/8 (* a (* c c))) (* b b))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) c) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b b))) b))
accuracy100.0%
(sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))
accuracy99.9%
(*.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b)) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64))))
accuracy99.9%
(*.f64 #s(literal -3 binary64) (*.f64 a c))
accuracy94.3%
(-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b)
accuracy99.9%
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 1/3 binary64)) a)
accuracy99.9%
(*.f64 #s(literal -3 binary64) (*.f64 a c))
accuracy99.9%
(*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 1/3 binary64))
accuracy94.3%
(-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b)
accuracy100.0%
(/.f64 b c)
accuracy99.9%
(/.f64 #s(literal -1/2 binary64) (/.f64 b c))
accuracy91.0%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c)))
accuracy99.9%
(fma.f64 (*.f64 a #s(literal -3 binary64)) c (-.f64 (*.f64 b b) (*.f64 b b)))
accuracy99.9%
(/.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (-.f64 (*.f64 b b) (*.f64 b b))) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))))
accuracy99.9%
(*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))
accuracy99.9%
(*.f64 #s(literal -3 binary64) (*.f64 a c))
Samples
107.0ms207×1exit
18.0ms49×0valid
Compiler

Compiled 444 to 59 computations (86.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 95.0ms
ival-mult: 32.0ms (33.8% of total)
adjust: 20.0ms (21.1% of total)
ival-div: 17.0ms (18% of total)
ival-add: 9.0ms (9.5% of total)
ival-sqrt: 5.0ms (5.3% of total)
ival-sub: 4.0ms (4.2% of total)
const: 4.0ms (4.2% of total)
ival-neg: 2.0ms (2.1% of total)
exact: 1.0ms (1.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series62.0ms (0.4%)

Memory
10.4MiB live, 85.2MiB allocated
Counts
23 → 696
Calls
Call 1
Inputs
#s(alt (/.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (-.f64 (*.f64 b b) (*.f64 b b))) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) (patch (/.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (-.f64 (*.f64 b b) (*.f64 b b))) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) #<representation binary64>) () ())
#s(alt (-.f64 (*.f64 b b) (*.f64 b b)) (patch (-.f64 (*.f64 b b) (*.f64 b b)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 a #s(literal -3 binary64)) c (-.f64 (*.f64 b b) (*.f64 b b))) (patch (fma.f64 (*.f64 a #s(literal -3 binary64)) c (-.f64 (*.f64 b b) (*.f64 b b))) #<representation binary64>) () ())
#s(alt (*.f64 a #s(literal -3 binary64)) (patch (*.f64 a #s(literal -3 binary64)) #<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 #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 b c) (patch (/.f64 b c) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 1/3 binary64)) a) (patch (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 1/3 binary64)) a) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 1/3 binary64)) (patch (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 1/3 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) (patch (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) (patch (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64))) (patch (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64))) #<representation binary64>) () ())
#s(alt (neg.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b)) (patch (neg.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b)) #<representation binary64>) () ())
#s(alt (*.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b)) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64)))) (patch (*.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b)) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) c) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (patch (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) c) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (/.f64 #s(approx (+ (* c -1/2) (/ (* -3/8 (* a (* c c))) (* b b))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) c) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b b))) b)) (patch #s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (/.f64 #s(approx (+ (* c -1/2) (/ (* -3/8 (* a (* c c))) (* b b))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) c) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b b))) b)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (+ (* c -1/2) (/ (* -3/8 (* a (* c c))) (* b b))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) c) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b b))) b) (patch (/.f64 #s(approx (+ (* c -1/2) (/ (* -3/8 (* a (* c c))) (* b b))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) c) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b b))) b) #<representation binary64>) () ())
#s(alt #s(approx (+ (* c -1/2) (/ (* -3/8 (* a (* c c))) (* b b))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) c) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b b))) (patch #s(approx (+ (* c -1/2) (/ (* -3/8 (* a (* c c))) (* b b))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) c) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b b))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal -3 binary64) (*.f64 a c)) (patch (*.f64 #s(literal -3 binary64) (*.f64 a c)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))) (patch (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) c) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b b)) (patch (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) c) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b b)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 b b) c) (patch (*.f64 (*.f64 b b) c) #<representation binary64>) () ())
#s(alt (*.f64 a (*.f64 c c)) (patch (*.f64 a (*.f64 c c)) #<representation binary64>) () ())
Outputs
#s(alt (* -1/2 (/ c b)) (taylor 0 a) (#s(alt (/.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (-.f64 (*.f64 b b) (*.f64 b b))) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) (patch (/.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (-.f64 (*.f64 b b) (*.f64 b b))) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) (taylor 0 a) (#s(alt (/.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (-.f64 (*.f64 b b) (*.f64 b b))) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) (patch (/.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (-.f64 (*.f64 b b) (*.f64 b b))) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) (taylor 0 a) (#s(alt (/.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (-.f64 (*.f64 b b) (*.f64 b b))) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) (patch (/.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (-.f64 (*.f64 b b) (*.f64 b b))) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* a (+ (* -27/32 (/ (pow c 4) (pow b 7))) (* -27/128 (/ (pow c 4) (pow b 7)))))))))) (taylor 0 a) (#s(alt (/.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (-.f64 (*.f64 b b) (*.f64 b b))) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) (patch (/.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (-.f64 (*.f64 b b) (*.f64 b b))) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (taylor inf a) (#s(alt (/.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (-.f64 (*.f64 b b) (*.f64 b b))) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) (patch (/.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (-.f64 (*.f64 b b) (*.f64 b b))) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (/ b (pow (sqrt -3) 2))) a) (taylor inf a) (#s(alt (/.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (-.f64 (*.f64 b b) (*.f64 b b))) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) (patch (/.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (-.f64 (*.f64 b b) (*.f64 b b))) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (/ b (pow (sqrt -3) 2))))) a) (taylor inf a) (#s(alt (/.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (-.f64 (*.f64 b b) (*.f64 b b))) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) (patch (/.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (-.f64 (*.f64 b b) (*.f64 b b))) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3)))) (+ (* -1/2 (/ (pow b 3) (* a (* c (pow (sqrt -3) 4))))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (/ b (pow (sqrt -3) 2))))))) a) (taylor inf a) (#s(alt (/.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (-.f64 (*.f64 b b) (*.f64 b b))) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) (patch (/.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (-.f64 (*.f64 b b) (*.f64 b b))) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3))) (taylor -inf a) (#s(alt (/.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (-.f64 (*.f64 b b) (*.f64 b b))) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) (patch (/.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (-.f64 (*.f64 b b) (*.f64 b b))) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (/ b (pow (sqrt 3) 2))) a)) (taylor -inf a) (#s(alt (/.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (-.f64 (*.f64 b b) (*.f64 b b))) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) (patch (/.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (-.f64 (*.f64 b b) (*.f64 b b))) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -1 (/ (* a b) (pow (sqrt 3) 2))) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) a))) a))) a)) (taylor -inf a) (#s(alt (/.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (-.f64 (*.f64 b b) (*.f64 b b))) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) (patch (/.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (-.f64 (*.f64 b b) (*.f64 b b))) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -1 (/ (* a b) (pow (sqrt 3) 2))) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (* -1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt 3) 4))))) a)) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) a))) a))) a)) (taylor -inf a) (#s(alt (/.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (-.f64 (*.f64 b b) (*.f64 b b))) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) (patch (/.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (-.f64 (*.f64 b b) (*.f64 b b))) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ c b)) (taylor 0 c) (#s(alt (/.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (-.f64 (*.f64 b b) (*.f64 b b))) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) (patch (/.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (-.f64 (*.f64 b b) (*.f64 b b))) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt (/.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (-.f64 (*.f64 b b) (*.f64 b b))) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) (patch (/.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (-.f64 (*.f64 b b) (*.f64 b b))) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt (/.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (-.f64 (*.f64 b b) (*.f64 b b))) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) (patch (/.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (-.f64 (*.f64 b b) (*.f64 b b))) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) #<representation binary64>) () ())) ())
#s(alt (* 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)))) (taylor 0 c) (#s(alt (/.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (-.f64 (*.f64 b b) (*.f64 b b))) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) (patch (/.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (-.f64 (*.f64 b b) (*.f64 b b))) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) #<representation binary64>) () ())) ())
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#s(alt (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (/ b (* a (pow (sqrt -3) 2)))) (taylor inf c) (#s(alt (/.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (-.f64 (*.f64 b b) (*.f64 b b))) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) (patch (/.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (-.f64 (*.f64 b b) (*.f64 b b))) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) #<representation binary64>) () ())) ())
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#s(alt (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (taylor inf a) (#s(alt (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) c) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b b)) (patch (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) c) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -1/2 (/ c a)) (* -3/8 (/ (pow c 2) (pow b 2))))) (taylor inf a) (#s(alt (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) c) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b b)) (patch (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) c) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -1/2 (/ c a)) (* -3/8 (/ (pow c 2) (pow b 2))))) (taylor inf a) (#s(alt (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) c) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b b)) (patch (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) c) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -1/2 (/ c a)) (* -3/8 (/ (pow c 2) (pow b 2))))) (taylor inf a) (#s(alt (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) c) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b b)) (patch (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) c) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (taylor -inf a) (#s(alt (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) c) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b b)) (patch (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) c) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 2))) (* 1/2 (/ c a))))) (taylor -inf a) (#s(alt (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) c) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b b)) (patch (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) c) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 2))) (* 1/2 (/ c a))))) (taylor -inf a) (#s(alt (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) c) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b b)) (patch (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) c) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 2))) (* 1/2 (/ c a))))) (taylor -inf a) (#s(alt (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) c) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b b)) (patch (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) c) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) c) (taylor 0 b) (#s(alt (*.f64 (*.f64 b b) c) (patch (*.f64 (*.f64 b b) c) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) c) (taylor 0 b) (#s(alt (*.f64 (*.f64 b b) c) (patch (*.f64 (*.f64 b b) c) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) c) (taylor 0 b) (#s(alt (*.f64 (*.f64 b b) c) (patch (*.f64 (*.f64 b b) c) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) c) (taylor 0 b) (#s(alt (*.f64 (*.f64 b b) c) (patch (*.f64 (*.f64 b b) c) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) c) (taylor inf b) (#s(alt (*.f64 (*.f64 b b) c) (patch (*.f64 (*.f64 b b) c) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) c) (taylor inf b) (#s(alt (*.f64 (*.f64 b b) c) (patch (*.f64 (*.f64 b b) c) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) c) (taylor inf b) (#s(alt (*.f64 (*.f64 b b) c) (patch (*.f64 (*.f64 b b) c) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) c) (taylor inf b) (#s(alt (*.f64 (*.f64 b b) c) (patch (*.f64 (*.f64 b b) c) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) c) (taylor -inf b) (#s(alt (*.f64 (*.f64 b b) c) (patch (*.f64 (*.f64 b b) c) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) c) (taylor -inf b) (#s(alt (*.f64 (*.f64 b b) c) (patch (*.f64 (*.f64 b b) c) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) c) (taylor -inf b) (#s(alt (*.f64 (*.f64 b b) c) (patch (*.f64 (*.f64 b b) c) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) c) (taylor -inf b) (#s(alt (*.f64 (*.f64 b b) c) (patch (*.f64 (*.f64 b b) c) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) c) (taylor 0 c) (#s(alt (*.f64 (*.f64 b b) c) (patch (*.f64 (*.f64 b b) c) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) c) (taylor 0 c) (#s(alt (*.f64 (*.f64 b b) c) (patch (*.f64 (*.f64 b b) c) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) c) (taylor 0 c) (#s(alt (*.f64 (*.f64 b b) c) (patch (*.f64 (*.f64 b b) c) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) c) (taylor 0 c) (#s(alt (*.f64 (*.f64 b b) c) (patch (*.f64 (*.f64 b b) c) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) c) (taylor inf c) (#s(alt (*.f64 (*.f64 b b) c) (patch (*.f64 (*.f64 b b) c) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) c) (taylor inf c) (#s(alt (*.f64 (*.f64 b b) c) (patch (*.f64 (*.f64 b b) c) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) c) (taylor inf c) (#s(alt (*.f64 (*.f64 b b) c) (patch (*.f64 (*.f64 b b) c) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) c) (taylor inf c) (#s(alt (*.f64 (*.f64 b b) c) (patch (*.f64 (*.f64 b b) c) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) c) (taylor -inf c) (#s(alt (*.f64 (*.f64 b b) c) (patch (*.f64 (*.f64 b b) c) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) c) (taylor -inf c) (#s(alt (*.f64 (*.f64 b b) c) (patch (*.f64 (*.f64 b b) c) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) c) (taylor -inf c) (#s(alt (*.f64 (*.f64 b b) c) (patch (*.f64 (*.f64 b b) c) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) c) (taylor -inf c) (#s(alt (*.f64 (*.f64 b b) c) (patch (*.f64 (*.f64 b b) c) #<representation binary64>) () ())) ())
#s(alt (* a (pow c 2)) (taylor 0 a) (#s(alt (*.f64 a (*.f64 c c)) (patch (*.f64 a (*.f64 c c)) #<representation binary64>) () ())) ())
#s(alt (* a (pow c 2)) (taylor 0 a) (#s(alt (*.f64 a (*.f64 c c)) (patch (*.f64 a (*.f64 c c)) #<representation binary64>) () ())) ())
#s(alt (* a (pow c 2)) (taylor 0 a) (#s(alt (*.f64 a (*.f64 c c)) (patch (*.f64 a (*.f64 c c)) #<representation binary64>) () ())) ())
#s(alt (* a (pow c 2)) (taylor 0 a) (#s(alt (*.f64 a (*.f64 c c)) (patch (*.f64 a (*.f64 c c)) #<representation binary64>) () ())) ())
#s(alt (* a (pow c 2)) (taylor inf a) (#s(alt (*.f64 a (*.f64 c c)) (patch (*.f64 a (*.f64 c c)) #<representation binary64>) () ())) ())
#s(alt (* a (pow c 2)) (taylor inf a) (#s(alt (*.f64 a (*.f64 c c)) (patch (*.f64 a (*.f64 c c)) #<representation binary64>) () ())) ())
#s(alt (* a (pow c 2)) (taylor inf a) (#s(alt (*.f64 a (*.f64 c c)) (patch (*.f64 a (*.f64 c c)) #<representation binary64>) () ())) ())
#s(alt (* a (pow c 2)) (taylor inf a) (#s(alt (*.f64 a (*.f64 c c)) (patch (*.f64 a (*.f64 c c)) #<representation binary64>) () ())) ())
#s(alt (* a (pow c 2)) (taylor -inf a) (#s(alt (*.f64 a (*.f64 c c)) (patch (*.f64 a (*.f64 c c)) #<representation binary64>) () ())) ())
#s(alt (* a (pow c 2)) (taylor -inf a) (#s(alt (*.f64 a (*.f64 c c)) (patch (*.f64 a (*.f64 c c)) #<representation binary64>) () ())) ())
#s(alt (* a (pow c 2)) (taylor -inf a) (#s(alt (*.f64 a (*.f64 c c)) (patch (*.f64 a (*.f64 c c)) #<representation binary64>) () ())) ())
#s(alt (* a (pow c 2)) (taylor -inf a) (#s(alt (*.f64 a (*.f64 c c)) (patch (*.f64 a (*.f64 c c)) #<representation binary64>) () ())) ())
#s(alt (* a (pow c 2)) (taylor 0 c) (#s(alt (*.f64 a (*.f64 c c)) (patch (*.f64 a (*.f64 c c)) #<representation binary64>) () ())) ())
#s(alt (* a (pow c 2)) (taylor 0 c) (#s(alt (*.f64 a (*.f64 c c)) (patch (*.f64 a (*.f64 c c)) #<representation binary64>) () ())) ())
#s(alt (* a (pow c 2)) (taylor 0 c) (#s(alt (*.f64 a (*.f64 c c)) (patch (*.f64 a (*.f64 c c)) #<representation binary64>) () ())) ())
#s(alt (* a (pow c 2)) (taylor 0 c) (#s(alt (*.f64 a (*.f64 c c)) (patch (*.f64 a (*.f64 c c)) #<representation binary64>) () ())) ())
#s(alt (* a (pow c 2)) (taylor inf c) (#s(alt (*.f64 a (*.f64 c c)) (patch (*.f64 a (*.f64 c c)) #<representation binary64>) () ())) ())
#s(alt (* a (pow c 2)) (taylor inf c) (#s(alt (*.f64 a (*.f64 c c)) (patch (*.f64 a (*.f64 c c)) #<representation binary64>) () ())) ())
#s(alt (* a (pow c 2)) (taylor inf c) (#s(alt (*.f64 a (*.f64 c c)) (patch (*.f64 a (*.f64 c c)) #<representation binary64>) () ())) ())
#s(alt (* a (pow c 2)) (taylor inf c) (#s(alt (*.f64 a (*.f64 c c)) (patch (*.f64 a (*.f64 c c)) #<representation binary64>) () ())) ())
#s(alt (* a (pow c 2)) (taylor -inf c) (#s(alt (*.f64 a (*.f64 c c)) (patch (*.f64 a (*.f64 c c)) #<representation binary64>) () ())) ())
#s(alt (* a (pow c 2)) (taylor -inf c) (#s(alt (*.f64 a (*.f64 c c)) (patch (*.f64 a (*.f64 c c)) #<representation binary64>) () ())) ())
#s(alt (* a (pow c 2)) (taylor -inf c) (#s(alt (*.f64 a (*.f64 c c)) (patch (*.f64 a (*.f64 c c)) #<representation binary64>) () ())) ())
#s(alt (* a (pow c 2)) (taylor -inf c) (#s(alt (*.f64 a (*.f64 c c)) (patch (*.f64 a (*.f64 c c)) #<representation binary64>) () ())) ())
Calls

174 calls:

TimeVariablePointExpression
5.0ms
c
@inf
(+ (* -1/2 (* (* b b) c)) (* -3/8 (* a (* c c))))
0.0ms
c
@inf
(neg (- (sqrt (+ (* b b) (* -3 (* a c)))) b))
0.0ms
b
@inf
(* (- (sqrt (+ (* b b) (* -3 (* a c)))) b) 1/3)
0.0ms
a
@-inf
(* (- (sqrt (+ (* b b) (* -3 (* a c)))) b) 1/3)
0.0ms
a
@0
(/ (+ (* -1/2 (* (* b b) c)) (* -3/8 (* a (* c c)))) (* b b))

simplify467.0ms (3.2%)

Memory
0.1MiB live, 567.6MiB allocated
Algorithm
egg-herbie
Rules
7 882×lower-*.f64
7 882×lower-*.f32
7 106×lower-fma.f64
7 106×lower-fma.f32
4 940×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0126213672
1421913397
0844612843
Stop Event
iter limit
node limit
Counts
696 → 693
Calls
Call 1
Inputs
(* -1/2 (/ c b))
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* a (+ (* -27/32 (/ (pow c 4) (pow b 7))) (* -27/128 (/ (pow c 4) (pow b 7))))))))))
(* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3))))
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (/ b (pow (sqrt -3) 2))) a)
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (/ b (pow (sqrt -3) 2))))) a)
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3)))) (+ (* -1/2 (/ (pow b 3) (* a (* c (pow (sqrt -3) 4))))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (/ b (pow (sqrt -3) 2))))))) a)
(* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (/ b (pow (sqrt 3) 2))) a))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -1 (/ (* a b) (pow (sqrt 3) 2))) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) a))) a))) a))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -1 (/ (* a b) (pow (sqrt 3) 2))) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (* -1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt 3) 4))))) a)) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) a))) a))) a))
(* -1/2 (/ c b))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* c (+ (* -27/32 (/ (pow a 3) (pow b 7))) (* -27/128 (/ (pow a 3) (pow b 7))))))))) (* 1/2 (/ 1 b))))
(* -1 (* (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))))))
(* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))
(+ (* -1 (/ b (* a (pow (sqrt 3) 2)))) (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3))))
(+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) (* -1 (/ (* b c) (* a (pow (sqrt 3) 2))))) c)) (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3))))
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (* -1/2 (/ (* (pow b 3) c) (* (pow a 2) (pow (sqrt 3) 4))))) (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) c)) (* -1 (/ (* b c) (* a (pow (sqrt 3) 2))))) c)) (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3))))
(* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3))))
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (/ b (* a (pow (sqrt -3) 2))))
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* b (+ (* b (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))))) (/ 1 (* a (pow (sqrt -3) 2))))))
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* b (+ (* b (+ (* -1 (* b (- (* 1/2 (/ 1 (* (pow a 2) (* c (pow (sqrt -3) 4))))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3))))) (sqrt -3))))))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3))))))) (/ 1 (* a (pow (sqrt -3) 2))))))
(* -1/2 (/ 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)
(* -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))))))))))
0
0
0
0
0
0
0
0
0
0
0
0
(* -3 (* a c))
(* -3 (* a c))
(* -3 (* a c))
(* -3 (* a c))
(* -3 (* a c))
(* -3 (* a c))
(* -3 (* a c))
(* -3 (* a c))
(* -3 (* a c))
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(/ b c)
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(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
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(/ (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -1/2 (* a c)) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -1/2 (* a c)) (+ (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
(* -2/3 b)
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(* -1 (* b (+ 2/3 (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ (* a c) (pow b 2))) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
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(* 1/3 (* (sqrt (* a c)) (sqrt -3)))
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(* a (+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))
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(* c (+ (* -1/2 (/ a b)) (* c (+ (* -9/16 (/ (* (pow a 3) c) (pow b 5))) (* -3/8 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -1/2 (/ a b)) (* c (+ (* -3/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -9/16 (/ (pow a 3) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b))))))))
(* 1/3 (* (sqrt (* a c)) (sqrt -3)))
(* c (+ (* -1/3 (/ b c)) (* 1/3 (* (sqrt (/ a c)) (sqrt -3)))))
(* c (+ (* -1/3 (/ b c)) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ a c)) (sqrt -3))))))
(* c (+ (* -1/3 (/ b c)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ a c)) (sqrt -3)))))))
(* -1/3 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b c)))))
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(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 b)) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))
(* (sqrt (* a c)) (sqrt -3))
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -3)))
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3)))
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(* -3/2 (/ (* a c) b))
(/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
(* -2 b)
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(* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -3/2 (/ (* a c) b))
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))
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(* (sqrt (* a c)) (sqrt -3))
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a)))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -3/2 (/ (* a c) b))
(* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b))))))))
(* (sqrt (* a c)) (sqrt -3))
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c)))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c)))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))
(* (sqrt (* a c)) (sqrt -3))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (* a c)) (sqrt -3)))
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))))
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5)))))))))
b
(* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 b)
(* -1 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
b
(+ b (* -3/2 (/ (* a c) b)))
(+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -3))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))
b
(+ b (* -3/2 (/ (* a c) b)))
(+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -3))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))
(/ -1/3 a)
(/ -1/3 a)
(/ -1/3 a)
(/ -1/3 a)
(/ -1/3 a)
(/ -1/3 a)
(/ -1/3 a)
(/ -1/3 a)
(/ -1/3 a)
(/ -1/3 a)
(/ -1/3 a)
(/ -1/3 a)
(* -1 (* (sqrt (* a c)) (sqrt -3)))
(- b (* (sqrt (* a c)) (sqrt -3)))
(- (* b (+ 1 (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))))) (* (sqrt (* a c)) (sqrt -3)))
(- (* b (+ 1 (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))))) (* (sqrt (* a c)) (sqrt -3)))
(* 3/2 (/ (* a c) b))
(/ (- (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -3/2 (* a c))) b)
(/ (- (* 27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (- (* 1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b)
(* 2 b)
(* -1 (* b (- (* 3/2 (/ (* a c) (pow b 2))) 2)))
(* -1 (* b (- (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -3/2 (/ (* a c) (pow b 2)))))))
(* -1 (* b (- (* 27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* 3/2 (/ (* a c) b))
(* a (- (* 9/8 (/ (* a (pow c 2)) (pow b 3))) (* -3/2 (/ c b))))
(* a (- (* a (- (* 27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))) (* -3/2 (/ c b))))
(* a (- (* a (- (* a (- (* 1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)) (* -27/16 (/ (pow c 3) (pow b 5))))) (* -9/8 (/ (pow c 2) (pow b 3))))) (* -3/2 (/ c b))))
(* -1 (* (sqrt (* a c)) (sqrt -3)))
(* a (- (/ b a) (* (sqrt (/ c a)) (sqrt -3))))
(* a (- (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (/ b a)) (* (sqrt (/ c a)) (sqrt -3))))
(* a (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (/ b a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))
(* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))
(* -1 (* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* a (- (* -1 (/ (+ b (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* a (- (* -1 (/ (+ b (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* 3/2 (/ (* a c) b))
(* c (- (* 9/8 (/ (* (pow a 2) c) (pow b 3))) (* -3/2 (/ a b))))
(* c (- (* c (- (* 27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))) (* -3/2 (/ a b))))
(* c (- (* c (- (* c (- (* 1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)) (* -27/16 (/ (pow a 3) (pow b 5))))) (* -9/8 (/ (pow a 2) (pow b 3))))) (* -3/2 (/ a b))))
(* -1 (* (sqrt (* a c)) (sqrt -3)))
(* c (- (/ b c) (* (sqrt (/ a c)) (sqrt -3))))
(* c (- (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (/ b c)) (* (sqrt (/ a c)) (sqrt -3))))
(* c (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (/ b c)) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))
(* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))
(* -1 (* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* c (- (* -1 (/ (+ b (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* c (- (* -1 (/ (+ b (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c))) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a)))))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a)))))
(* -1/2 (/ c b))
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -2/3 (/ b a))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))))
(* -1/2 (/ c b))
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(* -1/2 (/ c b))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(* -3/8 (* a (pow c 2)))
(+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2))))
(+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2))))
(+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2))))
(* -1/2 (* (pow b 2) c))
(* (pow b 2) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))))
(* (pow b 2) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))))
(* (pow b 2) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))))
(* -1/2 (* (pow b 2) c))
(* (pow b 2) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))))
(* (pow b 2) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))))
(* (pow b 2) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))))
(* -1/2 (* (pow b 2) c))
(* c (+ (* -1/2 (pow b 2)) (* -3/8 (* a c))))
(* c (+ (* -1/2 (pow b 2)) (* -3/8 (* a c))))
(* c (+ (* -1/2 (pow b 2)) (* -3/8 (* a c))))
(* -3/8 (* a (pow c 2)))
(* (pow c 2) (+ (* -1/2 (/ (pow b 2) c)) (* -3/8 a)))
(* (pow c 2) (+ (* -1/2 (/ (pow b 2) c)) (* -3/8 a)))
(* (pow c 2) (+ (* -1/2 (/ (pow b 2) c)) (* -3/8 a)))
(* -3/8 (* a (pow c 2)))
(* (pow c 2) (+ (* -1/2 (/ (pow b 2) c)) (* -3/8 a)))
(* (pow c 2) (+ (* -1/2 (/ (pow b 2) c)) (* -3/8 a)))
(* (pow c 2) (+ (* -1/2 (/ (pow b 2) c)) (* -3/8 a)))
(* -1/2 (* (pow b 2) c))
(+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2))))
(+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2))))
(+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2))))
(* -3/8 (* a (pow c 2)))
(* a (+ (* -1/2 (/ (* (pow b 2) c) a)) (* -3/8 (pow c 2))))
(* a (+ (* -1/2 (/ (* (pow b 2) c) a)) (* -3/8 (pow c 2))))
(* a (+ (* -1/2 (/ (* (pow b 2) c) a)) (* -3/8 (pow c 2))))
(* -3/8 (* a (pow c 2)))
(* -1 (* a (+ (* 3/8 (pow c 2)) (* 1/2 (/ (* (pow b 2) c) a)))))
(* -1 (* a (+ (* 3/8 (pow c 2)) (* 1/2 (/ (* (pow b 2) c) a)))))
(* -1 (* a (+ (* 3/8 (pow c 2)) (* 1/2 (/ (* (pow b 2) c) a)))))
(* -1/2 (/ c b))
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* a (+ (* -27/32 (/ (pow c 4) (pow b 7))) (* -27/128 (/ (pow c 4) (pow b 7))))))))))
(* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3))))
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (/ b (pow (sqrt -3) 2))) a)
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (/ b (pow (sqrt -3) 2))))) a)
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3)))) (+ (* -1/2 (/ (pow b 3) (* a (* c (pow (sqrt -3) 4))))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (/ b (pow (sqrt -3) 2))))))) a)
(* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (/ b (pow (sqrt 3) 2))) a))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -1 (/ (* a b) (pow (sqrt 3) 2))) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) a))) a))) a))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -1 (/ (* a b) (pow (sqrt 3) 2))) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (* -1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt 3) 4))))) a)) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) a))) a))) a))
(* -1/2 (/ c b))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* c (+ (* -27/32 (/ (pow a 3) (pow b 7))) (* -27/128 (/ (pow a 3) (pow b 7))))))))) (* 1/2 (/ 1 b))))
(* -1 (* (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))))))
(* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))
(+ (* -1 (/ b (* a (pow (sqrt 3) 2)))) (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3))))
(+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) (* -1 (/ (* b c) (* a (pow (sqrt 3) 2))))) c)) (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3))))
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (* -1/2 (/ (* (pow b 3) c) (* (pow a 2) (pow (sqrt 3) 4))))) (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) c)) (* -1 (/ (* b c) (* a (pow (sqrt 3) 2))))) c)) (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3))))
(* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3))))
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (/ b (* a (pow (sqrt -3) 2))))
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* b (+ (* b (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))))) (/ 1 (* a (pow (sqrt -3) 2))))))
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* b (+ (* b (+ (* -1 (* b (- (* 1/2 (/ 1 (* (pow a 2) (* c (pow (sqrt -3) 4))))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3))))) (sqrt -3))))))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3))))))) (/ 1 (* a (pow (sqrt -3) 2))))))
(* -1/2 (/ 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)
(* -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))))))))))
(* -1/2 (/ c b))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* -3/8 (/ (* a (pow c 2)) (pow b 3)))
(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))))
(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))))
(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))))
(* -3/8 (/ (* a (pow c 2)) (pow b 3)))
(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))))
(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))))
(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))))
(* -1/2 (/ c b))
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))
(* -3/8 (/ (* a (pow c 2)) (pow b 3)))
(* a (+ (* -1/2 (/ c (* a b))) (* -3/8 (/ (pow c 2) (pow b 3)))))
(* a (+ (* -1/2 (/ c (* a b))) (* -3/8 (/ (pow c 2) (pow b 3)))))
(* a (+ (* -1/2 (/ c (* a b))) (* -3/8 (/ (pow c 2) (pow b 3)))))
(* -3/8 (/ (* a (pow c 2)) (pow b 3)))
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b))))))
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b))))))
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b))))))
(* -3/8 (/ (* a (pow c 2)) (pow b 3)))
(/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 3))
(/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 3))
(/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 3))
(* -1/2 (/ c b))
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)
(* -1/2 (/ c b))
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 c)) b))
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 c)) b))
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 c)) b))
(* -1/2 c)
(* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2))
(* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2))
(* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2))
(* -3/8 (/ (* a (pow c 2)) (pow b 2)))
(* (pow c 2) (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c))))
(* (pow c 2) (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c))))
(* (pow c 2) (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c))))
(* -3/8 (/ (* a (pow c 2)) (pow b 2)))
(* (pow c 2) (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c))))
(* (pow c 2) (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c))))
(* (pow c 2) (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c))))
(* -1/2 c)
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))
(* -3/8 (/ (* a (pow c 2)) (pow b 2)))
(* a (+ (* -1/2 (/ c a)) (* -3/8 (/ (pow c 2) (pow b 2)))))
(* a (+ (* -1/2 (/ c a)) (* -3/8 (/ (pow c 2) (pow b 2)))))
(* a (+ (* -1/2 (/ c a)) (* -3/8 (/ (pow c 2) (pow b 2)))))
(* -3/8 (/ (* a (pow c 2)) (pow b 2)))
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 2))) (* 1/2 (/ c a)))))
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 2))) (* 1/2 (/ c a)))))
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 2))) (* 1/2 (/ c a)))))
(* -3/8 (/ (* a (pow c 2)) (pow b 2)))
(/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 2))
(/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 2))
(/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 2))
(* -1/2 c)
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))
(* -1/2 c)
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))
(* -3 (* a c))
(* -3 (* a c))
(* -3 (* a c))
(* -3 (* a c))
(* -3 (* a c))
(* -3 (* a c))
(* -3 (* a c))
(* -3 (* a c))
(* -3 (* a c))
(* -3 (* a c))
(* -3 (* a c))
(* -3 (* a c))
(* -3 (* a c))
(* -3 (* a c))
(* -3 (* a c))
(* -3 (* a c))
(* -3 (* a c))
(* -3 (* a c))
(* -3 (* a c))
(* -3 (* a c))
(* -3 (* a c))
(* -3 (* a c))
(* -3 (* a c))
(* -3 (* a c))
(* 6 (* a b))
(* a (+ (* -9/2 (/ (* a c) b)) (* 6 b)))
(* a (+ (* 6 b) (* a (+ (* -9/2 (/ c b)) (* -27/8 (/ (* a (pow c 2)) (pow b 3)))))))
(* a (+ (* 6 b) (* a (+ (* -9/2 (/ c b)) (* a (+ (* -81/16 (/ (* a (pow c 3)) (pow b 5))) (* -27/8 (/ (pow c 2) (pow b 3)))))))))
(* 3 (* (sqrt (* (pow a 3) c)) (sqrt -3)))
(* (pow a 2) (+ (* 3 (* (sqrt (/ c a)) (sqrt -3))) (* 3 (/ b a))))
(* (pow a 2) (+ (* 3/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (+ (* 3 (* (sqrt (/ c a)) (sqrt -3))) (* 3 (/ b a)))))
(* (pow a 2) (+ (* -3/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 3/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (+ (* 3 (* (sqrt (/ c a)) (sqrt -3))) (* 3 (/ b a))))))
(* -3 (* (sqrt (* (pow a 3) c)) (* (sqrt -1) (sqrt 3))))
(* (pow a 2) (+ (* -3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* 3 (/ b a))))
(* (pow a 2) (+ (* -3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -3 b) (* 3/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a))))
(* (pow a 2) (+ (* -3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -3 b) (* -1 (/ (+ (* -3/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 3/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a))) a))))
(* 3 (* (sqrt (* (pow a 3) c)) (sqrt -3)))
(+ (* 3 (* a b)) (* 3 (* (sqrt (* (pow a 3) c)) (sqrt -3))))
(+ (* 3 (* (sqrt (* (pow a 3) c)) (sqrt -3))) (* b (+ (* 3/2 (* (sqrt (/ a c)) (/ b (sqrt -3)))) (* 3 a))))
(+ (* 3 (* (sqrt (* (pow a 3) c)) (sqrt -3))) (* b (+ (* 3 a) (* b (+ (* -3/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 3/2 (* (sqrt (/ a c)) (/ 1 (sqrt -3)))))))))
(* 6 (* a b))
(* b (+ (* -9/2 (/ (* (pow a 2) c) (pow b 2))) (* 6 a)))
(* b (+ (* -9/2 (/ (* (pow a 2) c) (pow b 2))) (+ (* -27/8 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* 6 a))))
(* b (+ (* -81/16 (/ (* (pow a 4) (pow c 3)) (pow b 6))) (+ (* -9/2 (/ (* (pow a 2) c) (pow b 2))) (+ (* -27/8 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* 6 a)))))
(* 9/2 (/ (* (pow a 2) c) b))
(* -1 (/ (+ (* -9/2 (* (pow a 2) c)) (* -27/8 (/ (* (pow a 3) (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ (* -81/16 (/ (* (pow a 4) (pow c 3)) (pow b 4))) (+ (* -9/2 (* (pow a 2) c)) (* -27/8 (/ (* (pow a 3) (pow c 2)) (pow b 2))))) b))
(* -1 (/ (+ (* -81/16 (/ (* (pow a 4) (pow c 3)) (pow b 4))) (+ (* -9/2 (* (pow a 2) c)) (+ (* -27/8 (/ (* (pow a 3) (pow c 2)) (pow b 2))) (* -3/2 (/ (* a (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4))))) (pow b 6)))))) b))
(* 6 (* a b))
(+ (* -9/2 (/ (* (pow a 2) c) b)) (* 6 (* a b)))
(+ (* 6 (* a b)) (* c (+ (* -9/2 (/ (pow a 2) b)) (* -27/8 (/ (* (pow a 3) c) (pow b 3))))))
(+ (* 6 (* a b)) (* c (+ (* -9/2 (/ (pow a 2) b)) (* c (+ (* -81/16 (/ (* (pow a 4) c) (pow b 5))) (* -27/8 (/ (pow a 3) (pow b 3))))))))
(* 3 (* (sqrt (* (pow a 3) c)) (sqrt -3)))
(* c (+ (* 3 (* (sqrt (/ (pow a 3) c)) (sqrt -3))) (* 3 (/ (* a b) c))))
(* c (+ (* 3/2 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -3)))) (+ (* 3 (* (sqrt (/ (pow a 3) c)) (sqrt -3))) (* 3 (/ (* a b) c)))))
(* c (+ (* -3/8 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 3/2 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -3)))) (+ (* 3 (* (sqrt (/ (pow a 3) c)) (sqrt -3))) (* 3 (/ (* a b) c))))))
(* -3 (* (sqrt (* (pow a 3) c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* -3 (/ (* a b) c)) (* 3 (* (sqrt (/ (pow a 3) c)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* c (+ (* -1 (/ (+ (* -3/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 3 (* a b))) c)) (* 3 (* (sqrt (/ (pow a 3) c)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -3/8 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3/2 (* (sqrt (* a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 3 (* a b))) c)) (* 3 (* (sqrt (/ (pow a 3) c)) (* (sqrt -1) (sqrt 3)))))))
(* -3/8 (/ (* a (pow c 2)) (pow b 2)))
(/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 2))
(/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 2))
(/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 2))
(* -1/2 c)
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))
(* -1/2 c)
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))
(* -1/2 c)
(* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2))
(* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2))
(* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2))
(* -3/8 (/ (* a (pow c 2)) (pow b 2)))
(* (pow c 2) (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c))))
(* (pow c 2) (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c))))
(* (pow c 2) (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c))))
(* -3/8 (/ (* a (pow c 2)) (pow b 2)))
(* (pow c 2) (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c))))
(* (pow c 2) (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c))))
(* (pow c 2) (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c))))
(* -1/2 c)
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))
(* -3/8 (/ (* a (pow c 2)) (pow b 2)))
(* a (+ (* -1/2 (/ c a)) (* -3/8 (/ (pow c 2) (pow b 2)))))
(* a (+ (* -1/2 (/ c a)) (* -3/8 (/ (pow c 2) (pow b 2)))))
(* a (+ (* -1/2 (/ c a)) (* -3/8 (/ (pow c 2) (pow b 2)))))
(* -3/8 (/ (* a (pow c 2)) (pow b 2)))
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 2))) (* 1/2 (/ c a)))))
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 2))) (* 1/2 (/ c a)))))
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 2))) (* 1/2 (/ c a)))))
(* (pow b 2) c)
(* (pow b 2) c)
(* (pow b 2) c)
(* (pow b 2) c)
(* (pow b 2) c)
(* (pow b 2) c)
(* (pow b 2) c)
(* (pow b 2) c)
(* (pow b 2) c)
(* (pow b 2) c)
(* (pow b 2) c)
(* (pow b 2) c)
(* (pow b 2) c)
(* (pow b 2) c)
(* (pow b 2) c)
(* (pow b 2) c)
(* (pow b 2) c)
(* (pow b 2) c)
(* (pow b 2) c)
(* (pow b 2) c)
(* (pow b 2) c)
(* (pow b 2) c)
(* (pow b 2) c)
(* (pow b 2) c)
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
Outputs
(* -1/2 (/ c b))
(*.f64 #s(literal -1/2 binary64) (/.f64 c b))
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 c b) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b (*.f64 b b))))
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 c b) (*.f64 a (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a (*.f64 c (*.f64 c c)))) (pow.f64 b #s(literal 5 binary64))))))
(+ (* -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))))))))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 c b) (*.f64 a (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))) (*.f64 a (fma.f64 a (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 7 binary64))) #s(literal -135/128 binary64)) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 5 binary64))))))))
(* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3))))
(/.f64 (sqrt.f64 (/.f64 c a)) (neg.f64 (sqrt.f64 #s(literal -3 binary64))))
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (/ b (pow (sqrt -3) 2))) a)
(/.f64 (-.f64 (/.f64 b #s(literal -3 binary64)) (/.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -3 binary64)))) a)
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (/ b (pow (sqrt -3) 2))))) a)
(/.f64 (-.f64 (-.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (/.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal -3 binary64)))) (/.f64 b #s(literal -3 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (/.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal -3 binary64)))))) (/.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -3 binary64)))) a)
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3)))) (+ (* -1/2 (/ (pow b 3) (* a (* c (pow (sqrt -3) 4))))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (/ b (pow (sqrt -3) 2))))))) a)
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(* -1/2 c)
(*.f64 #s(literal -1/2 binary64) c)
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))
(fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 #s(literal -1/2 binary64) c))
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))
(fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 #s(literal -1/2 binary64) c))
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))
(fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 #s(literal -1/2 binary64) c))
(* -3/8 (/ (* a (pow c 2)) (pow b 2)))
(/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))
(* a (+ (* -1/2 (/ c a)) (* -3/8 (/ (pow c 2) (pow b 2)))))
(*.f64 a (fma.f64 #s(literal -1/2 binary64) (/.f64 c a) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 b b))))
(* a (+ (* -1/2 (/ c a)) (* -3/8 (/ (pow c 2) (pow b 2)))))
(*.f64 a (fma.f64 #s(literal -1/2 binary64) (/.f64 c a) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 b b))))
(* a (+ (* -1/2 (/ c a)) (* -3/8 (/ (pow c 2) (pow b 2)))))
(*.f64 a (fma.f64 #s(literal -1/2 binary64) (/.f64 c a) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 b b))))
(* -3/8 (/ (* a (pow c 2)) (pow b 2)))
(/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 2))) (* 1/2 (/ c a)))))
(*.f64 (fma.f64 (/.f64 c a) #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 c c) #s(literal 3/8 binary64)) (*.f64 b b))) (neg.f64 a))
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 2))) (* 1/2 (/ c a)))))
(*.f64 (fma.f64 (/.f64 c a) #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 c c) #s(literal 3/8 binary64)) (*.f64 b b))) (neg.f64 a))
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 2))) (* 1/2 (/ c a)))))
(*.f64 (fma.f64 (/.f64 c a) #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 c c) #s(literal 3/8 binary64)) (*.f64 b b))) (neg.f64 a))
(* (pow b 2) c)
(*.f64 c (*.f64 b b))
(* (pow b 2) c)
(*.f64 c (*.f64 b b))
(* (pow b 2) c)
(*.f64 c (*.f64 b b))
(* (pow b 2) c)
(*.f64 c (*.f64 b b))
(* (pow b 2) c)
(*.f64 c (*.f64 b b))
(* (pow b 2) c)
(*.f64 c (*.f64 b b))
(* (pow b 2) c)
(*.f64 c (*.f64 b b))
(* (pow b 2) c)
(*.f64 c (*.f64 b b))
(* (pow b 2) c)
(*.f64 c (*.f64 b b))
(* (pow b 2) c)
(*.f64 c (*.f64 b b))
(* (pow b 2) c)
(*.f64 c (*.f64 b b))
(* (pow b 2) c)
(*.f64 c (*.f64 b b))
(* (pow b 2) c)
(*.f64 c (*.f64 b b))
(* (pow b 2) c)
(*.f64 c (*.f64 b b))
(* (pow b 2) c)
(*.f64 c (*.f64 b b))
(* (pow b 2) c)
(*.f64 c (*.f64 b b))
(* (pow b 2) c)
(*.f64 c (*.f64 b b))
(* (pow b 2) c)
(*.f64 c (*.f64 b b))
(* (pow b 2) c)
(*.f64 c (*.f64 b b))
(* (pow b 2) c)
(*.f64 c (*.f64 b b))
(* (pow b 2) c)
(*.f64 c (*.f64 b b))
(* (pow b 2) c)
(*.f64 c (*.f64 b b))
(* (pow b 2) c)
(*.f64 c (*.f64 b b))
(* (pow b 2) c)
(*.f64 c (*.f64 b b))
(* a (pow c 2))
(*.f64 a (*.f64 c c))
(* a (pow c 2))
(*.f64 a (*.f64 c c))
(* a (pow c 2))
(*.f64 a (*.f64 c c))
(* a (pow c 2))
(*.f64 a (*.f64 c c))
(* a (pow c 2))
(*.f64 a (*.f64 c c))
(* a (pow c 2))
(*.f64 a (*.f64 c c))
(* a (pow c 2))
(*.f64 a (*.f64 c c))
(* a (pow c 2))
(*.f64 a (*.f64 c c))
(* a (pow c 2))
(*.f64 a (*.f64 c c))
(* a (pow c 2))
(*.f64 a (*.f64 c c))
(* a (pow c 2))
(*.f64 a (*.f64 c c))
(* a (pow c 2))
(*.f64 a (*.f64 c c))
(* a (pow c 2))
(*.f64 a (*.f64 c c))
(* a (pow c 2))
(*.f64 a (*.f64 c c))
(* a (pow c 2))
(*.f64 a (*.f64 c c))
(* a (pow c 2))
(*.f64 a (*.f64 c c))
(* a (pow c 2))
(*.f64 a (*.f64 c c))
(* a (pow c 2))
(*.f64 a (*.f64 c c))
(* a (pow c 2))
(*.f64 a (*.f64 c c))
(* a (pow c 2))
(*.f64 a (*.f64 c c))
(* a (pow c 2))
(*.f64 a (*.f64 c c))
(* a (pow c 2))
(*.f64 a (*.f64 c c))
(* a (pow c 2))
(*.f64 a (*.f64 c c))
(* a (pow c 2))
(*.f64 a (*.f64 c c))

rewrite383.0ms (2.6%)

Memory
31.0MiB live, 614.0MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 250×lower-/.f32
4 236×lower-/.f64
3 632×lower-fma.f32
3 626×lower-fma.f64
3 458×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
062376
093348
1439314
23508314
09954311
Stop Event
iter limit
node limit
iter limit
Counts
23 → 1 615
Calls
Call 1
Inputs
(/.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (-.f64 (*.f64 b b) (*.f64 b b))) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))))
(-.f64 (*.f64 b b) (*.f64 b b))
(fma.f64 (*.f64 a #s(literal -3 binary64)) c (-.f64 (*.f64 b b) (*.f64 b b)))
(*.f64 a #s(literal -3 binary64))
(/.f64 #s(literal -1/2 binary64) (/.f64 b c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c)))
(/.f64 b c)
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 1/3 binary64)) a)
(*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 1/3 binary64))
(-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b)
(sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))
(/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64)))
(neg.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b))
(*.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b)) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) c) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))))
#s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (/.f64 #s(approx (+ (* c -1/2) (/ (* -3/8 (* a (* c c))) (* b b))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) c) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b b))) b))
(/.f64 #s(approx (+ (* c -1/2) (/ (* -3/8 (* a (* c c))) (* b b))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) c) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b b))) b)
#s(approx (+ (* c -1/2) (/ (* -3/8 (* a (* c c))) (* b b))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) c) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b b)))
(*.f64 #s(literal -3 binary64) (*.f64 a c))
(*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) c) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b b))
(*.f64 (*.f64 b b) c)
(*.f64 a (*.f64 c c))
Outputs
(+.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (*.f64 a (*.f64 #s(literal 3 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))) (neg.f64 (/.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal 3 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 a #s(literal -3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) a))
(-.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) a) (/.f64 #s(literal 0 binary64) (*.f64 a (*.f64 #s(literal 3 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))))
(-.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) a) (/.f64 (/.f64 #s(literal 0 binary64) (*.f64 a (*.f64 #s(literal -3 binary64) c))) (*.f64 a (*.f64 #s(literal 3 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))))
(-.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) a) (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 a (*.f64 #s(literal 3 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) (*.f64 a (*.f64 #s(literal -3 binary64) c)))))
(-.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (*.f64 a (*.f64 #s(literal 3 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))) (/.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal 3 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))))
(-.f64 (/.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal 3 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))) (/.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (*.f64 a (*.f64 #s(literal 3 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 a #s(literal -3 binary64))) (/.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) a))
(-.f64 (/.f64 (/.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) #s(literal -3 binary64)) (neg.f64 a)) (/.f64 (/.f64 (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) #s(literal -3 binary64)) (neg.f64 a)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 a (*.f64 #s(literal 3 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))) (/.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) a))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 a (*.f64 #s(literal 3 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))) (/.f64 (*.f64 a (*.f64 #s(literal 3 binary64) c)) (*.f64 a (*.f64 #s(literal 3 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))))
(-.f64 (/.f64 #s(literal 0 binary64) a) (/.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) a))
(-.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 a #s(literal -3 binary64))) (/.f64 b (*.f64 a #s(literal -3 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 a (*.f64 #s(literal -3 binary64) c))) (*.f64 a #s(literal -3 binary64))) (/.f64 (/.f64 (*.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (*.f64 a (*.f64 #s(literal -3 binary64) c))) (*.f64 a #s(literal -3 binary64))))
(-.f64 (/.f64 (/.f64 (/.f64 (*.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 #s(literal 9 binary64) (*.f64 (*.f64 a c) (*.f64 a c))))) (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (*.f64 a (*.f64 #s(literal -3 binary64) c)))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (/.f64 (*.f64 (*.f64 b b) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 a (*.f64 #s(literal -3 binary64) c))))) (*.f64 a #s(literal -3 binary64))) (/.f64 (/.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (*.f64 a (*.f64 #s(literal -3 binary64) c)))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (/.f64 (*.f64 (*.f64 b b) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 a (*.f64 #s(literal -3 binary64) c))))) (*.f64 a #s(literal -3 binary64))))
(-.f64 (/.f64 (/.f64 (/.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 #s(literal 9 binary64) (*.f64 (*.f64 a c) (*.f64 a c)))) (*.f64 a (*.f64 #s(literal -3 binary64) c))) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (*.f64 a #s(literal -3 binary64))) (/.f64 (/.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 #s(literal -3 binary64) c))) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (*.f64 a #s(literal -3 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (fma.f64 b (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal -3 binary64))) (/.f64 (/.f64 (*.f64 b (*.f64 b b)) (fma.f64 b (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal -3 binary64))))
(-.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) #s(literal 0 binary64)) (*.f64 a #s(literal -3 binary64))) (/.f64 b (*.f64 a #s(literal -3 binary64))))
(-.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal 3 binary64))) (/.f64 (neg.f64 b) (*.f64 a #s(literal 3 binary64))))
(-.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (/.f64 b (*.f64 a #s(literal 3 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 a (*.f64 #s(literal -3 binary64) c))) (*.f64 a #s(literal 3 binary64))) (/.f64 (/.f64 (*.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (*.f64 a (*.f64 #s(literal -3 binary64) c))) (*.f64 a #s(literal 3 binary64))))
(-.f64 (/.f64 (/.f64 (/.f64 (*.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 #s(literal 9 binary64) (*.f64 (*.f64 a c) (*.f64 a c))))) (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (*.f64 a (*.f64 #s(literal -3 binary64) c)))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (/.f64 (*.f64 (*.f64 b b) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 a (*.f64 #s(literal -3 binary64) c))))) (*.f64 a #s(literal 3 binary64))) (/.f64 (/.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (*.f64 a (*.f64 #s(literal -3 binary64) c)))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (/.f64 (*.f64 (*.f64 b b) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 a (*.f64 #s(literal -3 binary64) c))))) (*.f64 a #s(literal 3 binary64))))
(-.f64 (/.f64 (/.f64 (/.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 #s(literal 9 binary64) (*.f64 (*.f64 a c) (*.f64 a c)))) (*.f64 a (*.f64 #s(literal -3 binary64) c))) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (*.f64 a #s(literal 3 binary64))) (/.f64 (/.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 #s(literal -3 binary64) c))) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (*.f64 a #s(literal 3 binary64))))
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(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 c c) #s(literal 1/4 binary64))) (*.f64 #s(literal 9/64 binary64) (*.f64 (*.f64 c (*.f64 a c)) (*.f64 c (*.f64 a c))))) (/.f64 #s(literal 1 binary64) (*.f64 b b))) (fma.f64 c (*.f64 (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 (*.f64 c (*.f64 a c)) #s(literal 3/8 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal -27/512 binary64) (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) (*.f64 c c))) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 c (*.f64 c c)) #s(literal -1/8 binary64)))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 a c) (*.f64 c #s(literal -3/8 binary64))) (-.f64 (*.f64 (*.f64 a c) (*.f64 c #s(literal -3/8 binary64))) (*.f64 c (*.f64 (*.f64 b b) #s(literal -1/2 binary64)))) (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 c c) #s(literal 1/4 binary64)))) (*.f64 b b))))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 c c) #s(literal 1/4 binary64))) (*.f64 #s(literal 9/64 binary64) (*.f64 (*.f64 c (*.f64 a c)) (*.f64 c (*.f64 a c))))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 c (*.f64 (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 (*.f64 c (*.f64 a c)) #s(literal 3/8 binary64))) (*.f64 b b))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 c (*.f64 a c)) #s(literal 3/8 binary64) (neg.f64 (*.f64 c (*.f64 (*.f64 b b) #s(literal -1/2 binary64))))))) (neg.f64 (*.f64 b b)))
(/.f64 (neg.f64 (neg.f64 (/.f64 (fma.f64 a (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 c (*.f64 (*.f64 b b) #s(literal -1/2 binary64)))) b))) (neg.f64 (neg.f64 b)))
(/.f64 (neg.f64 (*.f64 (fma.f64 a (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 c (*.f64 (*.f64 b b) #s(literal -1/2 binary64)))) #s(literal 1 binary64))) (neg.f64 (*.f64 b b)))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal -27/512 binary64) (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) (*.f64 c c))) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 c (*.f64 c c)) #s(literal -1/8 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 b b)))) (neg.f64 (fma.f64 (*.f64 (*.f64 a c) (*.f64 c #s(literal -3/8 binary64))) (-.f64 (*.f64 (*.f64 a c) (*.f64 c #s(literal -3/8 binary64))) (*.f64 c (*.f64 (*.f64 b b) #s(literal -1/2 binary64)))) (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 c c) #s(literal 1/4 binary64))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 c c) #s(literal 1/4 binary64))) (*.f64 #s(literal 9/64 binary64) (*.f64 (*.f64 c (*.f64 a c)) (*.f64 c (*.f64 a c))))) (/.f64 #s(literal 1 binary64) (*.f64 b b)))) (neg.f64 (fma.f64 c (*.f64 (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 (*.f64 c (*.f64 a c)) #s(literal 3/8 binary64)))))
(pow.f64 (/.f64 (*.f64 b b) (fma.f64 a (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 c (*.f64 (*.f64 b b) #s(literal -1/2 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (*.f64 b b) (fma.f64 a (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 c (*.f64 (*.f64 b b) #s(literal -1/2 binary64))))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 b (/.f64 (fma.f64 a (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 c (*.f64 (*.f64 b b) #s(literal -1/2 binary64)))) b)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 c (*.f64 (*.f64 b b) #s(literal -1/2 binary64)))) (*.f64 b b)))
(*.f64 (fma.f64 a (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 c (*.f64 (*.f64 b b) #s(literal -1/2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 b b)))
(*.f64 (fma.f64 (*.f64 c (*.f64 a c)) #s(literal 3/8 binary64) (neg.f64 (*.f64 c (*.f64 (*.f64 b b) #s(literal -1/2 binary64))))) (/.f64 #s(literal -1 binary64) (*.f64 b b)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (fma.f64 a (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 c (*.f64 (*.f64 b b) #s(literal -1/2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 c (*.f64 (*.f64 b b) #s(literal -1/2 binary64))))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (fma.f64 a (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 c (*.f64 (*.f64 b b) #s(literal -1/2 binary64)))) b))
(*.f64 (/.f64 (fma.f64 a (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 c (*.f64 (*.f64 b b) #s(literal -1/2 binary64)))) b) (/.f64 #s(literal 1 binary64) b))
(*.f64 (pow.f64 (/.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -27/512 binary64) (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) (*.f64 c c))) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 c (*.f64 c c)) #s(literal -1/8 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 a c) (*.f64 c #s(literal -3/8 binary64))) (-.f64 (*.f64 (*.f64 a c) (*.f64 c #s(literal -3/8 binary64))) (*.f64 c (*.f64 (*.f64 b b) #s(literal -1/2 binary64)))) (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 c c) #s(literal 1/4 binary64))))))
(*.f64 (pow.f64 (/.f64 (*.f64 b b) (-.f64 (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 c c) #s(literal 1/4 binary64))) (*.f64 #s(literal 9/64 binary64) (*.f64 (*.f64 c (*.f64 a c)) (*.f64 c (*.f64 a c)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 c (*.f64 (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 (*.f64 c (*.f64 a c)) #s(literal 3/8 binary64)))))
(*.f64 c (*.f64 b b))
(*.f64 b (*.f64 c b))
(*.f64 (*.f64 b b) c)
(*.f64 (*.f64 c b) b)
(*.f64 a (*.f64 c c))
(*.f64 c (*.f64 a c))
(*.f64 (*.f64 a c) c)
(*.f64 (*.f64 c c) a)

eval993.0ms (6.8%)

Memory
-205.4MiB live, 898.7MiB allocated
Compiler

Compiled 128 530 to 6 815 computations (94.7% saved)

prune710.0ms (4.9%)

Memory
9.3MiB live, 1 352.8MiB allocated
Pruning

33 alts after pruning (28 fresh and 5 done)

PrunedKeptTotal
New3 102223 124
Fresh12618
Picked325
Done033
Total3 117333 150
Accuracy
100.0%
Counts
3 150 → 33
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.3%
(/.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (-.f64 (*.f64 b b) (*.f64 b b))) (fma.f64 (*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) a) #s(literal 3 binary64) (*.f64 b (*.f64 a #s(literal 3 binary64)))))
19.2%
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) #s(literal 1/3 binary64) (*.f64 (neg.f64 b) #s(literal 1/3 binary64))) a)
99.3%
(/.f64 (/.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) a) (*.f64 #s(literal 3 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))
98.8%
(/.f64 (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 (*.f64 a c) (*.f64 a c))) (*.f64 a (*.f64 #s(literal -3 binary64) c))) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))))
18.1%
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) (*.f64 a #s(literal 3 binary64)))
17.8%
(/.f64 (+.f64 (*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) #s(literal 1/3 binary64)) (*.f64 (neg.f64 b) #s(literal 1/3 binary64))) a)
18.1%
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 1/3 binary64)) a)
13.6%
(/.f64 (*.f64 (-.f64 #s(approx (sqrt (+ (* b b) (* -3 (* a c)))) (fma.f64 (/.f64 (*.f64 c a) b) #s(literal -3/2 binary64) b)) b) #s(literal 1/3 binary64)) a)
99.0%
(/.f64 (*.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) #s(literal 1/3 binary64)) (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a))
99.4%
(/.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))))
99.2%
(/.f64 (*.f64 (*.f64 #s(literal -3 binary64) c) a) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))))
99.3%
(/.f64 (neg.f64 (/.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (*.f64 a #s(literal -3 binary64)))) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))
89.7%
(/.f64 #s(approx (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b)) (*.f64 #s(literal 3 binary64) a))
89.9%
(/.f64 #s(approx (* (- (sqrt (+ (* b b) (* -3 (* a c)))) b) 1/3) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 c a)) b)) a)
99.1%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 #s(literal 3 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))) (*.f64 a (*.f64 #s(literal -3 binary64) c)))
18.1%
(*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))
18.1%
(*.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64))))
18.1%
(*.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b)) (/.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -3 binary64)))
89.6%
(*.f64 #s(approx (neg (- (sqrt (+ (* b b) (* -3 (* a c)))) b)) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64))))
95.4%
#s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (/.f64 #s(approx (+ (* c -1/2) (/ (* -3/8 (* a (* c c))) (* b b))) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) (*.f64 c b) (*.f64 (*.f64 a c) (*.f64 c #s(literal -3/8 binary64)))) (*.f64 b b))) b))
95.7%
#s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (/.f64 #s(approx (+ (* c -1/2) (/ (* -3/8 (* a (* c c))) (* b b))) (/.f64 #s(approx (+ (* -1/2 (* (* b b) c)) (* -3/8 (* a (* c c)))) (*.f64 c (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) (*.f64 #s(literal -3/8 binary64) (*.f64 c a))))) (*.f64 b b))) b))
95.4%
#s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (/.f64 #s(approx (+ (* c -1/2) (/ (* -3/8 (* a (* c c))) (* b b))) (*.f64 (*.f64 c c) (fma.f64 #s(literal -3/8 binary64) (/.f64 a (*.f64 b b)) (/.f64 #s(literal -1/2 binary64) c)))) b))
95.8%
#s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (/.f64 #s(approx (+ (* c -1/2) (/ (* -3/8 (* a (* c c))) (* b b))) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -1/2 binary64)))) b))
95.5%
#s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (*.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) b)))
95.5%
#s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (*.f64 a (/.f64 c (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1/2 binary64) b))))
95.3%
#s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) #s(approx (/ (+ (* c -1/2) (/ (* -3/8 (* a (* c c))) (* b b))) b) (*.f64 (*.f64 c c) (fma.f64 #s(literal -3/8 binary64) (/.f64 a (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) (*.f64 c b))))))
95.5%
#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 a (*.f64 c c)) #s(literal -3/8 binary64)) (*.f64 b (*.f64 b b)))))
89.9%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1 binary64) c)))
90.1%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (/.f64 c b))))
89.9%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c)))
89.8%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) c) b)))
90.0%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal -1/2 binary64) b) c))
90.3%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))
Compiler

Compiled 2 896 to 781 computations (73% saved)

regimes297.0ms (2%)

Memory
48.6MiB live, 274.0MiB allocated
Counts
84 → 1
Calls
Call 1
Inputs
#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 (/.f64 #s(literal -1/2 binary64) b) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) c) b)))
(/.f64 #s(approx (* (- (sqrt (+ (* b b) (* -3 (* a c)))) b) 1/3) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 c a)) b)) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (/.f64 c b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1 binary64) c)))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (*.f64 (-.f64 #s(approx (sqrt (+ (* b b) (* -3 (* a c)))) (fma.f64 (/.f64 (*.f64 c a) b) #s(literal -3/2 binary64) b)) b) #s(literal 1/3 binary64)) a)
(*.f64 #s(approx (neg (- (sqrt (+ (* b b) (* -3 (* a c)))) b)) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64))))
#s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (/.f64 #s(approx (+ (* c -1/2) (/ (* -3/8 (* a (* c c))) (* b b))) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -1/2 binary64)))) b))
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (+ (* b b) (* a (* -3 c)))) (fma.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 a c) b) b))) (*.f64 #s(literal 3 binary64) a))
(*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b))
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 1/3 binary64)) a)
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) b) (*.f64 #s(literal 3 binary64) a))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) (*.f64 a #s(literal 3 binary64)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b))
#s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (*.f64 a (/.f64 c (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1/2 binary64) b))))
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#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64)))) b))
(/.f64 (fma.f64 (sqrt.f64 (*.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))) (fma.f64 a (*.f64 #s(literal 3 binary64) c) (*.f64 b b)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 #s(literal 3 binary64) c) (*.f64 b b))) #s(literal 1/2 binary64)) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (-.f64 (/.f64 (/.f64 (*.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))) (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) (*.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))) (+.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))) (*.f64 b b)))) (/.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))) (+.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))) (*.f64 b b))))) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (fma.f64 c (fma.f64 c (fma.f64 #s(literal -1/6 binary64) (/.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)) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 a #s(literal -3/8 binary64)) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1/2 binary64) b))))
Outputs
(/.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))))
Calls

5 calls:

178.0ms
b
39.0ms
a
27.0ms
c
24.0ms
(*.f64 #s(literal 3 binary64) a)
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))
Results
AccuracySegmentsBranch
99.4%1a
99.4%1b
99.4%1c
99.4%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))
99.4%1(*.f64 #s(literal 3 binary64) a)
Compiler

Compiled 38 to 26 computations (31.6% saved)

regimes77.0ms (0.5%)

Memory
10.3MiB live, 160.8MiB allocated
Counts
46 → 1
Calls
Call 1
Inputs
#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 (/.f64 #s(literal -1/2 binary64) b) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) c) b)))
(/.f64 #s(approx (* (- (sqrt (+ (* b b) (* -3 (* a c)))) b) 1/3) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 c a)) b)) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (/.f64 c b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1 binary64) c)))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (*.f64 (-.f64 #s(approx (sqrt (+ (* b b) (* -3 (* a c)))) (fma.f64 (/.f64 (*.f64 c a) b) #s(literal -3/2 binary64) b)) b) #s(literal 1/3 binary64)) a)
(*.f64 #s(approx (neg (- (sqrt (+ (* b b) (* -3 (* a c)))) b)) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64))))
#s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (/.f64 #s(approx (+ (* c -1/2) (/ (* -3/8 (* a (* c c))) (* b b))) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -1/2 binary64)))) b))
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (+ (* b b) (* a (* -3 c)))) (fma.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 a c) b) b))) (*.f64 #s(literal 3 binary64) a))
(*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b))
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 1/3 binary64)) a)
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) b) (*.f64 #s(literal 3 binary64) a))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) (*.f64 a #s(literal 3 binary64)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b))
#s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (*.f64 a (/.f64 c (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1/2 binary64) b))))
#s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (/.f64 (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
(*.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 1/3 binary64)))
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) #s(literal 1/3 binary64) (*.f64 (neg.f64 b) #s(literal 1/3 binary64))) a)
(/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64))
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) a) #s(literal 3 binary64))
(*.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b)) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64))))
(/.f64 (+.f64 (*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) #s(literal 1/3 binary64)) (*.f64 (neg.f64 b) #s(literal 1/3 binary64))) a)
#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 a (*.f64 c c)) #s(literal -3/8 binary64)) (*.f64 b (*.f64 b b)))))
#s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) #s(approx (/ (+ (* c -1/2) (/ (* -3/8 (* a (* c c))) (* b b))) b) (*.f64 (*.f64 c c) (fma.f64 #s(literal -3/8 binary64) (/.f64 a (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) (*.f64 c b))))))
#s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (*.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) b)))
#s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (/.f64 #s(approx (+ (* c -1/2) (/ (* -3/8 (* a (* c c))) (* b b))) (/.f64 #s(approx (+ (* -1/2 (* (* b b) c)) (* -3/8 (* a (* c c)))) (*.f64 c (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) (*.f64 #s(literal -3/8 binary64) (*.f64 c a))))) (*.f64 b b))) b))
#s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (/.f64 #s(approx (+ (* c -1/2) (/ (* -3/8 (* a (* c c))) (* b b))) (*.f64 (*.f64 c c) (fma.f64 #s(literal -3/8 binary64) (/.f64 a (*.f64 b b)) (/.f64 #s(literal -1/2 binary64) c)))) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (+ (* c (/ -1/2 b)) (/ (* (* a (* c c)) -3/8) (* b (* b b)))) (*.f64 (*.f64 c c) (-.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) (*.f64 c b))))))
#s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) #s(approx (/ (+ (* c -1/2) (/ (* -3/8 (* a (* c c))) (* b b))) b) (*.f64 (*.f64 c c) (-.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) (*.f64 b c))))))
#s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (/.f64 #s(approx (+ (* c -1/2) (/ (* -3/8 (* a (* c c))) (* b b))) (*.f64 (*.f64 c c) (-.f64 (*.f64 #s(literal -3/8 binary64) (/.f64 a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) c)))) b))
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 1/3 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (+ (* c (/ -1/2 b)) (/ (* (* a (* c c)) -3/8) (* b (* b b)))) (*.f64 a (fma.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 a b)) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b)))))))
#s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (/.f64 #s(approx (+ (* c -1/2) (/ (* -3/8 (* a (* c c))) (* b b))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) c) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b b))) b))
#s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (/.f64 #s(approx (+ (* c -1/2) (/ (* -3/8 (* a (* c c))) (* b b))) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) (*.f64 c b) (*.f64 (*.f64 a c) (*.f64 c #s(literal -3/8 binary64)))) (*.f64 b b))) b))
(*.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b)) (/.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -3 binary64)))
(/.f64 #s(approx (- (+ (* b b) (* -3 (* a c))) (* b b)) (*.f64 #s(literal -3 binary64) (*.f64 a c))) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))))
(/.f64 (*.f64 (*.f64 #s(literal -3 binary64) c) a) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))))
Outputs
(/.f64 #s(approx (- (+ (* b b) (* -3 (* a c))) (* b b)) (*.f64 #s(literal -3 binary64) (*.f64 a c))) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))))
Calls

5 calls:

16.0ms
(/.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))
15.0ms
c
15.0ms
a
13.0ms
b
13.0ms
(*.f64 #s(literal 3 binary64) a)
Results
AccuracySegmentsBranch
99.2%1a
99.2%1b
99.2%1c
99.2%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))
99.2%1(*.f64 #s(literal 3 binary64) a)
Compiler

Compiled 38 to 26 computations (31.6% saved)

regimes97.0ms (0.7%)

Memory
-30.0MiB live, 152.6MiB allocated
Counts
44 → 1
Calls
Call 1
Inputs
#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 (/.f64 #s(literal -1/2 binary64) b) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) c) b)))
(/.f64 #s(approx (* (- (sqrt (+ (* b b) (* -3 (* a c)))) b) 1/3) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 c a)) b)) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (/.f64 c b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1 binary64) c)))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (*.f64 (-.f64 #s(approx (sqrt (+ (* b b) (* -3 (* a c)))) (fma.f64 (/.f64 (*.f64 c a) b) #s(literal -3/2 binary64) b)) b) #s(literal 1/3 binary64)) a)
(*.f64 #s(approx (neg (- (sqrt (+ (* b b) (* -3 (* a c)))) b)) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64))))
#s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (/.f64 #s(approx (+ (* c -1/2) (/ (* -3/8 (* a (* c c))) (* b b))) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -1/2 binary64)))) b))
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (+ (* b b) (* a (* -3 c)))) (fma.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 a c) b) b))) (*.f64 #s(literal 3 binary64) a))
(*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b))
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 1/3 binary64)) a)
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) b) (*.f64 #s(literal 3 binary64) a))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) (*.f64 a #s(literal 3 binary64)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b))
#s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (*.f64 a (/.f64 c (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1/2 binary64) b))))
#s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (/.f64 (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
(*.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 1/3 binary64)))
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) #s(literal 1/3 binary64) (*.f64 (neg.f64 b) #s(literal 1/3 binary64))) a)
(/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64))
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) a) #s(literal 3 binary64))
(*.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b)) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64))))
(/.f64 (+.f64 (*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) #s(literal 1/3 binary64)) (*.f64 (neg.f64 b) #s(literal 1/3 binary64))) a)
#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 a (*.f64 c c)) #s(literal -3/8 binary64)) (*.f64 b (*.f64 b b)))))
#s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) #s(approx (/ (+ (* c -1/2) (/ (* -3/8 (* a (* c c))) (* b b))) b) (*.f64 (*.f64 c c) (fma.f64 #s(literal -3/8 binary64) (/.f64 a (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) (*.f64 c b))))))
#s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (*.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) b)))
#s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (/.f64 #s(approx (+ (* c -1/2) (/ (* -3/8 (* a (* c c))) (* b b))) (/.f64 #s(approx (+ (* -1/2 (* (* b b) c)) (* -3/8 (* a (* c c)))) (*.f64 c (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) (*.f64 #s(literal -3/8 binary64) (*.f64 c a))))) (*.f64 b b))) b))
#s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (/.f64 #s(approx (+ (* c -1/2) (/ (* -3/8 (* a (* c c))) (* b b))) (*.f64 (*.f64 c c) (fma.f64 #s(literal -3/8 binary64) (/.f64 a (*.f64 b b)) (/.f64 #s(literal -1/2 binary64) c)))) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (+ (* c (/ -1/2 b)) (/ (* (* a (* c c)) -3/8) (* b (* b b)))) (*.f64 (*.f64 c c) (-.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) (*.f64 c b))))))
#s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) #s(approx (/ (+ (* c -1/2) (/ (* -3/8 (* a (* c c))) (* b b))) b) (*.f64 (*.f64 c c) (-.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) (*.f64 b c))))))
#s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (/.f64 #s(approx (+ (* c -1/2) (/ (* -3/8 (* a (* c c))) (* b b))) (*.f64 (*.f64 c c) (-.f64 (*.f64 #s(literal -3/8 binary64) (/.f64 a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) c)))) b))
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 1/3 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (+ (* c (/ -1/2 b)) (/ (* (* a (* c c)) -3/8) (* b (* b b)))) (*.f64 a (fma.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 a b)) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b)))))))
#s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (/.f64 #s(approx (+ (* c -1/2) (/ (* -3/8 (* a (* c c))) (* b b))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) c) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b b))) b))
#s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (/.f64 #s(approx (+ (* c -1/2) (/ (* -3/8 (* a (* c c))) (* b b))) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) (*.f64 c b) (*.f64 (*.f64 a c) (*.f64 c #s(literal -3/8 binary64)))) (*.f64 b b))) b))
(*.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b)) (/.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -3 binary64)))
Outputs
#s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (/.f64 (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b))
Calls

5 calls:

41.0ms
(*.f64 #s(literal 3 binary64) a)
15.0ms
b
14.0ms
a
12.0ms
c
11.0ms
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
Results
AccuracySegmentsBranch
95.8%1a
95.8%1b
95.8%1c
95.8%1(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
95.8%1(*.f64 #s(literal 3 binary64) a)
Compiler

Compiled 38 to 26 computations (31.6% saved)

regimes41.0ms (0.3%)

Memory
-6.8MiB live, 74.2MiB allocated
Counts
22 → 1
Calls
Call 1
Inputs
#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 (/.f64 #s(literal -1/2 binary64) b) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) c) b)))
(/.f64 #s(approx (* (- (sqrt (+ (* b b) (* -3 (* a c)))) b) 1/3) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 c a)) b)) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (/.f64 c b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1 binary64) c)))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (*.f64 (-.f64 #s(approx (sqrt (+ (* b b) (* -3 (* a c)))) (fma.f64 (/.f64 (*.f64 c a) b) #s(literal -3/2 binary64) b)) b) #s(literal 1/3 binary64)) a)
(*.f64 #s(approx (neg (- (sqrt (+ (* b b) (* -3 (* a c)))) b)) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64))))
#s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (/.f64 #s(approx (+ (* c -1/2) (/ (* -3/8 (* a (* c c))) (* b b))) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -1/2 binary64)))) b))
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (+ (* b b) (* a (* -3 c)))) (fma.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 a c) b) b))) (*.f64 #s(literal 3 binary64) a))
(*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b))
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 1/3 binary64)) a)
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) b) (*.f64 #s(literal 3 binary64) a))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) (*.f64 a #s(literal 3 binary64)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b))
#s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (*.f64 a (/.f64 c (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1/2 binary64) b))))
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b))
Calls

5 calls:

12.0ms
b
8.0ms
c
7.0ms
(*.f64 #s(literal 3 binary64) a)
7.0ms
a
6.0ms
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
Results
AccuracySegmentsBranch
95.8%1a
95.8%1b
95.8%1(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
95.8%1(*.f64 #s(literal 3 binary64) a)
95.8%1c
Compiler

Compiled 38 to 26 computations (31.6% saved)

regimes35.0ms (0.2%)

Memory
-7.4MiB live, 68.9MiB allocated
Counts
20 → 1
Calls
Call 1
Inputs
#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 (/.f64 #s(literal -1/2 binary64) b) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) c) b)))
(/.f64 #s(approx (* (- (sqrt (+ (* b b) (* -3 (* a c)))) b) 1/3) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 c a)) b)) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (/.f64 c b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1 binary64) c)))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (*.f64 (-.f64 #s(approx (sqrt (+ (* b b) (* -3 (* a c)))) (fma.f64 (/.f64 (*.f64 c a) b) #s(literal -3/2 binary64) b)) b) #s(literal 1/3 binary64)) a)
(*.f64 #s(approx (neg (- (sqrt (+ (* b b) (* -3 (* a c)))) b)) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64))))
#s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (/.f64 #s(approx (+ (* c -1/2) (/ (* -3/8 (* a (* c c))) (* b b))) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -1/2 binary64)))) b))
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (+ (* b b) (* a (* -3 c)))) (fma.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 a c) b) b))) (*.f64 #s(literal 3 binary64) a))
(*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b))
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 1/3 binary64)) a)
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) b) (*.f64 #s(literal 3 binary64) a))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) (*.f64 a #s(literal 3 binary64)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b))))
Outputs
#s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (/.f64 #s(approx (+ (* c -1/2) (/ (* -3/8 (* a (* c c))) (* b b))) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -1/2 binary64)))) b))
Calls

5 calls:

8.0ms
c
6.0ms
(*.f64 #s(literal 3 binary64) a)
6.0ms
b
6.0ms
a
6.0ms
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
Results
AccuracySegmentsBranch
95.8%1(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
95.8%1a
95.8%1b
95.8%1c
95.8%1(*.f64 #s(literal 3 binary64) a)
Compiler

Compiled 38 to 26 computations (31.6% saved)

regimes21.0ms (0.1%)

Memory
8.2MiB live, 46.5MiB allocated
Accuracy

Total -49.1b remaining (-791.8%)

Threshold costs -49.1b (-791.8%)

Counts
11 → 1
Calls
Call 1
Inputs
#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 (/.f64 #s(literal -1/2 binary64) b) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) c) b)))
(/.f64 #s(approx (* (- (sqrt (+ (* b b) (* -3 (* a c)))) b) 1/3) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 c a)) b)) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (/.f64 c b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1 binary64) c)))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (*.f64 (-.f64 #s(approx (sqrt (+ (* b b) (* -3 (* a c)))) (fma.f64 (/.f64 (*.f64 c a) b) #s(literal -3/2 binary64) b)) b) #s(literal 1/3 binary64)) a)
(*.f64 #s(approx (neg (- (sqrt (+ (* b b) (* -3 (* a c)))) b)) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64))))
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))
Calls

5 calls:

5.0ms
a
4.0ms
c
4.0ms
b
4.0ms
(*.f64 #s(literal 3 binary64) a)
3.0ms
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
Results
AccuracySegmentsBranch
90.3%1(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
90.3%1c
90.3%1a
90.3%1b
90.3%1(*.f64 #s(literal 3 binary64) a)
Compiler

Compiled 38 to 26 computations (31.6% saved)

simplify7.0ms (0.1%)

Memory
18.0MiB live, 18.0MiB allocated
Algorithm
egg-herbie
Rules
26×*-commutative_binary64
+-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
070247
184247
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))))
(/.f64 #s(approx (- (+ (* b b) (* -3 (* a c))) (* b b)) (*.f64 #s(literal -3 binary64) (*.f64 a c))) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))))
#s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (/.f64 (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b))
#s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (/.f64 #s(approx (+ (* c -1/2) (/ (* -3/8 (* a (* c c))) (* b b))) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -1/2 binary64)))) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))
Outputs
(/.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))))
(/.f64 #s(approx (- (+ (* b b) (* -3 (* a c))) (* b b)) (*.f64 #s(literal -3 binary64) (*.f64 a c))) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))))
#s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (/.f64 (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 a (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b))
#s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (/.f64 #s(approx (+ (* c -1/2) (/ (* -3/8 (* a (* c c))) (* b b))) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -1/2 binary64)))) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))

soundness1.0s (7.2%)

Memory
-5.1MiB live, 1 055.7MiB allocated
Rules
11 360×lower-fma.f64
11 360×lower-fma.f32
7 722×lower-*.f64
7 722×lower-*.f32
6 828×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04702458
114452441
248962418
080642302
0170616956
1573516440
0818915879
075616
0125541
1555478
25795468
09130468
01246
02046
17144
252543
3683643
0812540
062376
093348
1439314
23508314
09954311
0212820213
1615619510
0813818866
066443
0113408
1452399
24173399
08613399
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 375 to 154 computations (58.9% saved)

preprocess73.0ms (0.5%)

Memory
-5.5MiB live, 112.7MiB allocated
Compiler

Compiled 244 to 98 computations (59.8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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