Cubic critical, wide range

Time bar (total: 8.8s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze172.0ms (2%)

Memory
95.3MiB live, 95.3MiB 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)

sample1.8s (21.1%)

Memory
661.7MiB live, 661.7MiB allocated
Samples
1.1s6 736×1valid
150.0ms1 520×0valid
112.0ms1 123×0invalid
Precisions
Click to see histograms. Total time spent on operations: 1.0s
ival-mult: 194.0ms (19% of total)
const: 153.0ms (15% of total)
adjust: 140.0ms (13.7% of total)
ival-sqrt: 106.0ms (10.4% of total)
ival-<: 106.0ms (10.4% of total)
ival-div: 96.0ms (9.4% of total)
ival-sub: 71.0ms (6.9% of total)
ival-add: 69.0ms (6.7% of total)
ival-neg: 43.0ms (4.2% of total)
ival-and: 32.0ms (3.1% of total)
exact: 10.0ms (1% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

explain264.0ms (3%)

Memory
96.3MiB live, 96.3MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2512(2.5592099566882598e+22 103498.98687770907 8.113132718098415e-16)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))))cancellation2530
Confusion
Predicted +Predicted -
+2510
-23
Precision
0.9920948616600791
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+25100
-203
Precision?
0.9920948616600791
Recall?
1.0
Freqs
test
numberfreq
03
1253
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
71.0ms406×1valid
10.0ms106×0valid
Compiler

Compiled 351 to 122 computations (65.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 50.0ms
ival-mult: 14.0ms (28.3% of total)
ival-div: 7.0ms (14.1% of total)
adjust: 7.0ms (14.1% of total)
ival-sqrt: 7.0ms (14.1% of total)
ival-add: 5.0ms (10.1% of total)
ival-sub: 5.0ms (10.1% of total)
ival-neg: 3.0ms (6.1% of total)
ival-true: 1.0ms (2% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess118.0ms (1.3%)

Memory
10.1MiB live, 10.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049158
1152144
2433144
31173144
43171144
56061144
01217
02017
13616
27316
315616
423616
537416
665016
7110316
8224116
9251016
10262116
11267616
12267716
13267716
0267715
Stop Event
iter limit
saturated
iter limit
node limit
Calls
Call 1
Inputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
Outputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))
Compiler

Compiled 17 to 12 computations (29.4% saved)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
19.1%
(/.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 17 to 12 computations (29.4% saved)

simplify63.0ms (0.7%)

Memory
4.3MiB live, 4.3MiB 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))))
Iterations

Useful iterations: 0 (0.0ms)

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

localize52.0ms (0.6%)

Memory
16.3MiB live, 16.3MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.12890625
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))
accuracy0.26953125
(*.f64 (*.f64 #s(literal 3 binary64) a) c)
accuracy0.36328125
(/.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))
accuracy51.81169702971889
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))))
Samples
35.0ms203×1valid
5.0ms53×0valid
Compiler

Compiled 134 to 26 computations (80.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-mult: 7.0ms (28.9% of total)
adjust: 4.0ms (16.5% of total)
ival-sqrt: 4.0ms (16.5% of total)
ival-div: 3.0ms (12.4% of total)
ival-add: 2.0ms (8.3% of total)
ival-sub: 2.0ms (8.3% of total)
ival-neg: 1.0ms (4.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series24.0ms (0.3%)

Memory
8.6MiB live, 8.6MiB allocated
Counts
5 → 144
Calls
Call 1
Inputs
#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())
#s(alt (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) (patch (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())
#s(alt (neg.f64 b) (patch (neg.f64 b) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 #s(literal 3 binary64) a) c) (patch (*.f64 (*.f64 #s(literal 3 binary64) a) c) #<representation binary64>) () ())
Outputs
#s(alt (* -3/2 (/ (* a c) b)) (taylor 0 c) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))) (taylor 0 c) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))) (taylor 0 c) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)))))))) (taylor 0 c) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor 0 c) (#s(alt (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) (patch (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) #<representation binary64>) () ())) ())
#s(alt (+ (* -3 (* a c)) (pow b 2)) (taylor 0 c) (#s(alt (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) (patch (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) #<representation binary64>) () ())) ())
#s(alt (+ (* -3 (* a c)) (pow b 2)) (taylor 0 c) (#s(alt (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) (patch (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) #<representation binary64>) () ())) ())
#s(alt (+ (* -3 (* a c)) (pow b 2)) (taylor 0 c) (#s(alt (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) (patch (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ c b)) (taylor 0 c) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* a c)) (taylor 0 c) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) a) c) (patch (*.f64 (*.f64 #s(literal 3 binary64) a) c) #<representation binary64>) () ())) ())
#s(alt (* 3 (* a c)) (taylor 0 c) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) a) c) (patch (*.f64 (*.f64 #s(literal 3 binary64) a) c) #<representation binary64>) () ())) ())
#s(alt (* 3 (* a c)) (taylor 0 c) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) a) c) (patch (*.f64 (*.f64 #s(literal 3 binary64) a) c) #<representation binary64>) () ())) ())
#s(alt (* 3 (* a c)) (taylor 0 c) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) a) c) (patch (*.f64 (*.f64 #s(literal 3 binary64) a) c) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (* a c)) (sqrt -3)) (taylor inf c) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3)))) (taylor inf c) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c))) (taylor inf c) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c))) (taylor inf c) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* -3 (* a c)) (taylor inf c) (#s(alt (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) (patch (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) #<representation binary64>) () ())) ())
#s(alt (* c (- (/ (pow b 2) c) (* 3 a))) (taylor inf c) (#s(alt (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) (patch (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) #<representation binary64>) () ())) ())
#s(alt (* c (- (/ (pow b 2) c) (* 3 a))) (taylor inf c) (#s(alt (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) (patch (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) #<representation binary64>) () ())) ())
#s(alt (* c (- (/ (pow b 2) c) (* 3 a))) (taylor inf c) (#s(alt (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) (patch (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (taylor inf c) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) (taylor inf c) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) (taylor inf c) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
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#s(alt (+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) (taylor -inf a) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) (taylor -inf a) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) (taylor -inf a) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* a c)) (taylor -inf a) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) a) c) (patch (*.f64 (*.f64 #s(literal 3 binary64) a) c) #<representation binary64>) () ())) ())
#s(alt (* 3 (* a c)) (taylor -inf a) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) a) c) (patch (*.f64 (*.f64 #s(literal 3 binary64) a) c) #<representation binary64>) () ())) ())
#s(alt (* 3 (* a c)) (taylor -inf a) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) a) c) (patch (*.f64 (*.f64 #s(literal 3 binary64) a) c) #<representation binary64>) () ())) ())
#s(alt (* 3 (* a c)) (taylor -inf a) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) a) c) (patch (*.f64 (*.f64 #s(literal 3 binary64) a) c) #<representation binary64>) () ())) ())
Calls

9 calls:

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

simplify146.0ms (1.7%)

Memory
44.9MiB live, 44.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04702458
114452441
248902418
080562302
Stop Event
iter limit
node limit
Counts
144 → 144
Calls
Call 1
Inputs
(* -3/2 (/ (* a c) b))
(* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b))))))))
(pow b 2)
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(* -1/2 (/ c b))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))
(* 3 (* a c))
(* 3 (* a c))
(* 3 (* a c))
(* 3 (* a c))
(* (sqrt (* a c)) (sqrt -3))
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c)))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c)))
(* -3 (* a c))
(* c (- (/ (pow b 2) c) (* 3 a)))
(* c (- (/ (pow b 2) c) (* 3 a)))
(* c (- (/ (pow b 2) c) (* 3 a)))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))
(* 3 (* a c))
(* 3 (* a c))
(* 3 (* a c))
(* 3 (* a c))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))
(* -3 (* a c))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -3 a))))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -3 a))))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -3 a))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(* 3 (* a c))
(* 3 (* a c))
(* 3 (* a c))
(* 3 (* a c))
(* (sqrt (* a c)) (sqrt -3))
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -3)))
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3)))
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3)))
(* -3 (* a c))
(- (pow b 2) (* 3 (* a c)))
(- (pow b 2) (* 3 (* a c)))
(- (pow b 2) (* 3 (* a c)))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a)))))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a)))))
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -3/2 (/ (* a c) b))
(/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
(pow b 2)
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* -1/2 (/ c b))
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -2 b)
(* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(pow b 2)
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* -2/3 (/ b a))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))))
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -3/2 (/ (* a c) b))
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))))
(pow b 2)
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(* -1/2 (/ c b))
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))
(* 3 (* a c))
(* 3 (* a c))
(* 3 (* a c))
(* 3 (* a c))
(* (sqrt (* a c)) (sqrt -3))
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a)))
(* -3 (* a c))
(* a (- (/ (pow b 2) a) (* 3 c)))
(* a (- (/ (pow b 2) a) (* 3 c)))
(* a (- (/ (pow b 2) a) (* 3 c)))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))
(* 3 (* a c))
(* 3 (* a c))
(* 3 (* a c))
(* 3 (* a c))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -3 (* a c))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c))))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c))))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(* 3 (* a c))
(* 3 (* a c))
(* 3 (* a c))
(* 3 (* a c))
Outputs
(* -3/2 (/ (* a c) b))
(*.f64 (*.f64 (/.f64 c b) #s(literal -3/2 binary64)) a)
(* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))
(*.f64 (fma.f64 (*.f64 c #s(literal -9/8 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c)
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))
(*.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -27/16 binary64)) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c)
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) c) (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -27/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c)
(pow b 2)
(*.f64 b b)
(+ (* -3 (* a c)) (pow b 2))
(fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b))
(+ (* -3 (* a c)) (pow b 2))
(fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b))
(+ (* -3 (* a c)) (pow b 2))
(fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b))
(* -1/2 (/ c b))
(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(*.f64 (fma.f64 (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) c (/.f64 #s(literal -1/2 binary64) b)) c)
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 405/64 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 c b)) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)
(* 3 (* a c))
(*.f64 #s(literal 3 binary64) (*.f64 c a))
(* 3 (* a c))
(*.f64 #s(literal 3 binary64) (*.f64 c a))
(* 3 (* a c))
(*.f64 #s(literal 3 binary64) (*.f64 c a))
(* 3 (* a c))
(*.f64 #s(literal 3 binary64) (*.f64 c a))
(* (sqrt (* a c)) (sqrt -3))
(*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (*.f64 c a)))
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (neg.f64 b) c)) c)
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c)))
(*.f64 (fma.f64 (*.f64 (*.f64 b (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (neg.f64 b) c))) c)
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c)))
(*.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 3 binary64))))) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/24 binary64) (fma.f64 (*.f64 (*.f64 b (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (neg.f64 b) c)))) c)
(* -3 (* a c))
(*.f64 #s(literal -3 binary64) (*.f64 c a))
(* c (- (/ (pow b 2) c) (* 3 a)))
(*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 b (/.f64 b c))) c)
(* c (- (/ (pow b 2) c) (* 3 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)))))
(fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 #s(literal 1/3 binary64) b (/.f64 (fma.f64 #s(literal 1/72 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 a c)))) (neg.f64 a))) (neg.f64 a)))
(* 3 (* a c))
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(* 3 (* a c))
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(* 3 (* a c))
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(* 3 (* a c))
(*.f64 #s(literal 3 binary64) (*.f64 c a))

rewrite130.0ms (1.5%)

Memory
42.7MiB live, 42.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01246
02046
17144
252543
3683643
0812540
Stop Event
iter limit
node limit
iter limit
Counts
5 → 410
Calls
Call 1
Inputs
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))))
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
(neg.f64 b)
(*.f64 (*.f64 #s(literal 3 binary64) a) c)
Outputs
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eval87.0ms (1%)

Memory
57.1MiB live, 57.1MiB allocated
Compiler

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

prune60.0ms (0.7%)

Memory
47.8MiB live, 47.8MiB allocated
Pruning

33 alts after pruning (33 fresh and 0 done)

PrunedKeptTotal
New52133554
Fresh000
Picked101
Done000
Total52233555
Accuracy
99.7%
Counts
555 → 33
Alt Table
Click to see full alt table
StatusAccuracyProgram
19.1%
(/.f64 (pow.f64 a #s(literal -1 binary64)) (/.f64 #s(literal -3 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))
19.3%
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a))
18.5%
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) b) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 b b))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b)) (*.f64 #s(literal 3 binary64) a))
19.1%
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64))
19.1%
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)))
19.1%
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64)))
19.0%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) (/.f64 b (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (neg.f64 (/.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal 3 binary64))) #s(literal 2 binary64)) (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))))))) (*.f64 #s(literal 3 binary64) a))
19.0%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
19.3%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (pow.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) #s(literal -1 binary64)))))) (*.f64 #s(literal 3 binary64) a))
18.1%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (exp.f64 (log.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) (*.f64 #s(literal 3 binary64) a))
19.1%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (*.f64 b (/.f64 b a))) a)))) (*.f64 #s(literal 3 binary64) a))
19.1%
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) #s(literal -1 binary64)))) (*.f64 #s(literal 3 binary64) a))
19.1%
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a)
95.4%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 c c) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b)) (*.f64 #s(literal 3 binary64) a))
97.7%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) c) (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -27/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c)) (*.f64 #s(literal 3 binary64) a))
95.4%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 c #s(literal -9/8 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c)) (*.f64 #s(literal 3 binary64) a))
89.6%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 c b) #s(literal -3/2 binary64)) a)) (*.f64 #s(literal 3 binary64) a))
19.1%
(/.f64 #s(literal 1/3 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
19.1%
(/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) a))
18.7%
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (/.f64 b (*.f64 a #s(literal 3 binary64))))
19.1%
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))
19.1%
(*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 1/3 binary64)))
19.1%
(*.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) #s(literal -1 binary64)))
98.3%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
97.6%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (*.f64 a #s(literal -9/16 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
96.0%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
97.6%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (*.f64 #s(literal -1/2 binary64) c))) b))
96.0%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)) b))
98.3%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal -1/6 binary64) a) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)))) b))
97.9%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 405/64 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 c b)) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c))
97.2%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c))
95.6%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) c (/.f64 #s(literal -1/2 binary64) b)) c))
89.9%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
Compiler

Compiled 1 678 to 1 158 computations (31% saved)

simplify177.0ms (2%)

Memory
42.5MiB live, 42.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (*.f64 #s(literal -1/2 binary64) c))) b)
cost-diff0
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (*.f64 #s(literal -1/2 binary64) c))) b))
cost-diff960
(fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (*.f64 #s(literal -1/2 binary64) c)))
cost-diff6144
(fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (*.f64 #s(literal -1/2 binary64) c))
cost-diff0
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)
cost-diff0
(pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64))
cost-diff384
(/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) a))
cost-diff6080
(*.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) a)
cost-diff0
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))
cost-diff0
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)
cost-diff0
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a)
cost-diff384
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64))
cost-diff0
(/.f64 c b)
cost-diff0
(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
cost-diff0
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
cost-diff0
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal -1/6 binary64) a) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)))) b))
cost-diff320
(fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c))
cost-diff320
(fma.f64 (/.f64 #s(literal -1/6 binary64) a) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)))
cost-diff6784
(fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal -1/6 binary64) a) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
064652
0108650
1192644
2421638
31012633
42377612
53294612
64202612
75229612
87745612
08839594
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 (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal -1/6 binary64) a) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)))) b))
(/.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal -1/6 binary64) a) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)))) b)
(fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal -1/6 binary64) a) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c))))
(*.f64 #s(literal -9/16 binary64) (*.f64 a a))
#s(literal -9/16 binary64)
(*.f64 a a)
a
(/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64)))
(pow.f64 c #s(literal 3 binary64))
c
#s(literal 3 binary64)
(pow.f64 b #s(literal 4 binary64))
b
#s(literal 4 binary64)
(fma.f64 (/.f64 #s(literal -1/6 binary64) a) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)))
(/.f64 #s(literal -1/6 binary64) a)
#s(literal -1/6 binary64)
(*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64))))
(*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))
(pow.f64 c #s(literal 4 binary64))
(pow.f64 a #s(literal 4 binary64))
(/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64)))
#s(literal 405/64 binary64)
(pow.f64 b #s(literal 6 binary64))
#s(literal 6 binary64)
(fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c))
(/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b)
(*.f64 (*.f64 c c) #s(literal -3/8 binary64))
(*.f64 c c)
#s(literal -3/8 binary64)
(/.f64 a b)
(*.f64 #s(literal -1/2 binary64) c)
#s(literal -1/2 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
(/.f64 c b)
c
b
#s(literal -1/2 binary64)
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a)
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))
(*.f64 #s(literal -3 binary64) c)
#s(literal -3 binary64)
c
a
(*.f64 b b)
b
#s(literal 3 binary64)
(/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) a))
#s(literal 1/3 binary64)
(*.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) a)
(pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64))
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))
(*.f64 #s(literal -3 binary64) c)
#s(literal -3 binary64)
c
a
(*.f64 b b)
b
#s(literal -1 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (*.f64 #s(literal -1/2 binary64) c))) b))
(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (*.f64 #s(literal -1/2 binary64) c))) b)
(fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (*.f64 #s(literal -1/2 binary64) c)))
(/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b)
(*.f64 (*.f64 c c) #s(literal -3/8 binary64))
(*.f64 c c)
c
#s(literal -3/8 binary64)
b
(/.f64 a b)
a
(fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (*.f64 #s(literal -1/2 binary64) c))
(/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64)))
(*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a)
(*.f64 (pow.f64 c #s(literal 3 binary64)) a)
(pow.f64 c #s(literal 3 binary64))
#s(literal 3 binary64)
(pow.f64 b #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal -9/16 binary64)
(*.f64 #s(literal -1/2 binary64) c)
#s(literal -1/2 binary64)
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal -1/6 binary64) a) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)))) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 c (fma.f64 (*.f64 c a) (fma.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 4 binary64))) a) #s(literal -9/16 binary64) (/.f64 (/.f64 #s(literal -3/8 binary64) b) b)) #s(literal -1/2 binary64)) (*.f64 (/.f64 (/.f64 #s(literal -135/128 binary64) (pow.f64 b #s(literal 6 binary64))) a) (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))))) b))
(/.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal -1/6 binary64) a) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)))) b)
(/.f64 (fma.f64 c (fma.f64 (*.f64 c a) (fma.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 4 binary64))) a) #s(literal -9/16 binary64) (/.f64 (/.f64 #s(literal -3/8 binary64) b) b)) #s(literal -1/2 binary64)) (*.f64 (/.f64 (/.f64 #s(literal -135/128 binary64) (pow.f64 b #s(literal 6 binary64))) a) (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))))) b)
(fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal -1/6 binary64) a) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c))))
(fma.f64 c (fma.f64 (*.f64 c a) (fma.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 4 binary64))) a) #s(literal -9/16 binary64) (/.f64 (/.f64 #s(literal -3/8 binary64) b) b)) #s(literal -1/2 binary64)) (*.f64 (/.f64 (/.f64 #s(literal -135/128 binary64) (pow.f64 b #s(literal 6 binary64))) a) (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64)))))
(*.f64 #s(literal -9/16 binary64) (*.f64 a a))
(*.f64 (*.f64 a a) #s(literal -9/16 binary64))
#s(literal -9/16 binary64)
(*.f64 a a)
a
(/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64)))
(pow.f64 c #s(literal 3 binary64))
c
#s(literal 3 binary64)
(pow.f64 b #s(literal 4 binary64))
b
#s(literal 4 binary64)
(fma.f64 (/.f64 #s(literal -1/6 binary64) a) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)))
(fma.f64 (/.f64 (/.f64 #s(literal -135/128 binary64) (pow.f64 b #s(literal 6 binary64))) a) (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (*.f64 c (fma.f64 (*.f64 (/.f64 c b) a) (/.f64 #s(literal -3/8 binary64) b) #s(literal -1/2 binary64))))
(/.f64 #s(literal -1/6 binary64) a)
#s(literal -1/6 binary64)
(*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64))))
(*.f64 (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64))) (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))))
(*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))
(*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64)))
(pow.f64 c #s(literal 4 binary64))
(pow.f64 a #s(literal 4 binary64))
(/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64)))
#s(literal 405/64 binary64)
(pow.f64 b #s(literal 6 binary64))
#s(literal 6 binary64)
(fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c))
(*.f64 c (fma.f64 (*.f64 (/.f64 c b) a) (/.f64 #s(literal -3/8 binary64) b) #s(literal -1/2 binary64)))
(/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b)
(/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) b)
(*.f64 (*.f64 c c) #s(literal -3/8 binary64))
(*.f64 #s(literal -3/8 binary64) (*.f64 c c))
(*.f64 c c)
#s(literal -3/8 binary64)
(/.f64 a b)
(*.f64 #s(literal -1/2 binary64) c)
#s(literal -1/2 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
(/.f64 c b)
c
b
#s(literal -1/2 binary64)
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64))
(*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a)
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))
(*.f64 #s(literal -3 binary64) c)
#s(literal -3 binary64)
c
a
(*.f64 b b)
b
#s(literal 3 binary64)
(/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) a))
(*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))
#s(literal 1/3 binary64)
(*.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) a)
(/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))
(pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64))
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))
(*.f64 #s(literal -3 binary64) c)
#s(literal -3 binary64)
c
a
(*.f64 b b)
b
#s(literal -1 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (*.f64 #s(literal -1/2 binary64) c))) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c (fma.f64 (*.f64 c a) (fma.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 4 binary64))) a) #s(literal -9/16 binary64) (/.f64 (/.f64 #s(literal -3/8 binary64) b) b)) #s(literal -1/2 binary64))) b))
(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (*.f64 #s(literal -1/2 binary64) c))) b)
(/.f64 (*.f64 c (fma.f64 (*.f64 c a) (fma.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 4 binary64))) a) #s(literal -9/16 binary64) (/.f64 (/.f64 #s(literal -3/8 binary64) b) b)) #s(literal -1/2 binary64))) b)
(fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (*.f64 #s(literal -1/2 binary64) c)))
(*.f64 c (fma.f64 (*.f64 c a) (fma.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 4 binary64))) a) #s(literal -9/16 binary64) (/.f64 (/.f64 #s(literal -3/8 binary64) b) b)) #s(literal -1/2 binary64)))
(/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b)
(/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) b)
(*.f64 (*.f64 c c) #s(literal -3/8 binary64))
(*.f64 #s(literal -3/8 binary64) (*.f64 c c))
(*.f64 c c)
c
#s(literal -3/8 binary64)
b
(/.f64 a b)
a
(fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (*.f64 #s(literal -1/2 binary64) c))
(*.f64 c (fma.f64 (*.f64 (*.f64 (*.f64 c #s(literal -9/16 binary64)) a) c) (/.f64 a (pow.f64 b #s(literal 4 binary64))) #s(literal -1/2 binary64)))
(/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64)))
(*.f64 (*.f64 (/.f64 a (pow.f64 b #s(literal 4 binary64))) a) (pow.f64 c #s(literal 3 binary64)))
(*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a)
(*.f64 (pow.f64 c #s(literal 3 binary64)) a)
(pow.f64 c #s(literal 3 binary64))
#s(literal 3 binary64)
(pow.f64 b #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal -9/16 binary64)
(*.f64 #s(literal -1/2 binary64) c)
#s(literal -1/2 binary64)

localize261.0ms (3%)

Memory
86.8MiB live, 86.8MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.2734375
(*.f64 (*.f64 c c) #s(literal -3/8 binary64))
accuracy0.3125
(*.f64 (pow.f64 c #s(literal 3 binary64)) a)
accuracy0.328125
(/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64)))
accuracy1.4710089919903628
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (*.f64 #s(literal -1/2 binary64) c))) b))
accuracy0.21875
(*.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) a)
accuracy0.26953125
(pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64))
accuracy0.41634750976844204
(/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) a))
accuracy51.81169702971889
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)
accuracy0.11556625976844201
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))
accuracy0.296875
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a)
accuracy0.328125
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64))
accuracy51.81169702971889
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)
accuracy0
(/.f64 c b)
accuracy0
(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
accuracy6.4383547614343515
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
accuracy0.3359375
(*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))
accuracy0.36166000976844204
(*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64))))
accuracy0.36556625976844204
(/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64)))
accuracy1.039191875626255
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal -1/6 binary64) a) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)))) b))
Samples
171.0ms202×1valid
28.0ms54×0valid
Compiler

Compiled 1 197 to 123 computations (89.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 143.0ms
ival-mult: 33.0ms (23% of total)
ival-div: 29.0ms (20.2% of total)
ival-pow: 25.0ms (17.4% of total)
adjust: 19.0ms (13.2% of total)
ival-add: 15.0ms (10.5% of total)
const: 8.0ms (5.6% of total)
ival-sqrt: 7.0ms (4.9% of total)
ival-sub: 5.0ms (3.5% of total)
ival-neg: 2.0ms (1.4% of total)
exact: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series130.0ms (1.5%)

Memory
51.9MiB live, 51.9MiB allocated
Counts
25 → 816
Calls
Call 1
Inputs
#s(alt (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal -1/6 binary64) a) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)))) (patch (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal -1/6 binary64) a) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)))) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 #s(literal -1/6 binary64) a) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c))) (patch (fma.f64 (/.f64 #s(literal -1/6 binary64) a) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c))) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)) (patch (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal -1/6 binary64) a) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)))) b)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal -1/6 binary64) a) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)))) b)) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 c b) #s(literal -1/2 binary64)) (patch (*.f64 (/.f64 c b) #s(literal -1/2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 c b) (patch (/.f64 c b) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64)) (patch (/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #<representation binary64>) () ())
#s(alt (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (patch (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #<representation binary64>) () ())
#s(alt (*.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) a) (patch (*.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) a) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) a)) (patch (/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) a)) #<representation binary64>) () ())
#s(alt (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) (patch (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (*.f64 #s(literal -1/2 binary64) c)) (patch (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (*.f64 #s(literal -1/2 binary64) c)) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (*.f64 #s(literal -1/2 binary64) c))) (patch (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (*.f64 #s(literal -1/2 binary64) c))) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (*.f64 #s(literal -1/2 binary64) c))) b)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (*.f64 #s(literal -1/2 binary64) c))) b)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (*.f64 #s(literal -1/2 binary64) c))) b) (patch (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (*.f64 #s(literal -1/2 binary64) c))) b) #<representation binary64>) () ())
#s(alt (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) (patch (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64)))) (patch (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (patch (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (patch (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) (patch (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (patch (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (patch (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (* -1/2 c) (taylor 0 c) (#s(alt (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal -1/6 binary64) a) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)))) (patch (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal -1/6 binary64) a) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)))) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2)) (taylor 0 c) (#s(alt (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal -1/6 binary64) a) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)))) (patch (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal -1/6 binary64) a) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)))) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 4))) (* -3/8 (/ a (pow b 2))))) 1/2)) (taylor 0 c) (#s(alt (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal -1/6 binary64) a) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)))) (patch (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal -1/6 binary64) a) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)))) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -3/8 (/ a (pow b 2))) (* c (+ (* -135/128 (/ (* (pow a 3) c) (pow b 6))) (* -9/16 (/ (pow a 2) (pow b 4))))))) 1/2)) (taylor 0 c) (#s(alt (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal -1/6 binary64) a) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)))) (patch (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal -1/6 binary64) a) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 c) (taylor 0 c) (#s(alt (fma.f64 (/.f64 #s(literal -1/6 binary64) a) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c))) (patch (fma.f64 (/.f64 #s(literal -1/6 binary64) a) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c))) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2)) (taylor 0 c) (#s(alt (fma.f64 (/.f64 #s(literal -1/6 binary64) a) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c))) (patch (fma.f64 (/.f64 #s(literal -1/6 binary64) a) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c))) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -135/128 (/ (* (pow a 3) (pow c 2)) (pow b 6))) (* -3/8 (/ a (pow b 2))))) 1/2)) (taylor 0 c) (#s(alt (fma.f64 (/.f64 #s(literal -1/6 binary64) a) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c))) (patch (fma.f64 (/.f64 #s(literal -1/6 binary64) a) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c))) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -135/128 (/ (* (pow a 3) (pow c 2)) (pow b 6))) (* -3/8 (/ a (pow b 2))))) 1/2)) (taylor 0 c) (#s(alt (fma.f64 (/.f64 #s(literal -1/6 binary64) a) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c))) (patch (fma.f64 (/.f64 #s(literal -1/6 binary64) a) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 c) (taylor 0 c) (#s(alt (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)) (patch (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2)) (taylor 0 c) (#s(alt (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)) (patch (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2)) (taylor 0 c) (#s(alt (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)) (patch (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)) #<representation binary64>) () ())) ())
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#s(alt (/ c b) (taylor inf c) (#s(alt (/.f64 c b) (patch (/.f64 c b) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (taylor inf c) (#s(alt (/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64)) (patch (/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) (taylor inf c) (#s(alt (/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64)) (patch (/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) (taylor inf c) (#s(alt (/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64)) (patch (/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) (taylor inf c) (#s(alt (/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64)) (patch (/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ c a)) (sqrt -3)) (taylor inf c) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -3)))) (taylor inf c) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1 (/ b (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ 1 (* a c))) (sqrt -3))))) (taylor inf c) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1 (/ b (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) (taylor inf c) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (* a c)) (sqrt -3)) (taylor inf c) (#s(alt (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3)))) (taylor inf c) (#s(alt (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c))) (taylor inf c) (#s(alt (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c))) (taylor inf c) (#s(alt (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (* a c)) (sqrt -3)) (taylor inf c) (#s(alt (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (patch (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (taylor inf c) (#s(alt (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (patch (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))) (taylor inf c) (#s(alt (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (patch (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))) (taylor inf c) (#s(alt (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (patch (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ a c)) (/ 1 (sqrt -3))) (taylor inf c) (#s(alt (*.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) a) (patch (*.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* (sqrt (* a c)) (/ 1 (sqrt -3))) (/ b (pow (sqrt -3) 2))) c) (taylor inf c) (#s(alt (*.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) a) (patch (*.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3))))) (pow c 2))) (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (* -1 (/ b (pow (sqrt -3) 2)))) c) (taylor inf c) (#s(alt (*.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) a) (patch (*.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow b 3) (pow c 2)) (* a (pow (sqrt -3) 4)))) (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3)))) (pow c 3))) (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* -1 (/ b (pow (sqrt -3) 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3))))))) c) (taylor inf c) (#s(alt (*.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) a) (patch (*.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (taylor inf c) (#s(alt (/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) a)) (patch (/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) a)) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) (taylor inf c) (#s(alt (/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) a)) (patch (/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) a)) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) (taylor inf c) (#s(alt (/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) a)) (patch (/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) a)) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) (taylor inf c) (#s(alt (/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) a)) (patch (/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) a)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3))) (taylor inf c) (#s(alt (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) (patch (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* (sqrt (/ c a)) (/ 1 (sqrt -3))) (/ b (* a (pow (sqrt -3) 2)))) c) (taylor inf c) (#s(alt (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) (patch (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3))))) (pow c 2))) (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* -1 (/ b (* a (pow (sqrt -3) 2))))) c) (taylor inf c) (#s(alt (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) (patch (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -3) 4)))) (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3)))) (pow c 3))) (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* -1 (/ b (* a (pow (sqrt -3) 2)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -3) 3))))))) c) (taylor inf c) (#s(alt (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) (patch (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (taylor inf c) (#s(alt (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (*.f64 #s(literal -1/2 binary64) c)) (patch (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (*.f64 #s(literal -1/2 binary64) c)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 3) (- (* -9/16 (/ (pow a 2) (pow b 4))) (* 1/2 (/ 1 (pow c 2))))) (taylor inf c) (#s(alt (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (*.f64 #s(literal -1/2 binary64) c)) (patch (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (*.f64 #s(literal -1/2 binary64) c)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 3) (- (* -9/16 (/ (pow a 2) (pow b 4))) (* 1/2 (/ 1 (pow c 2))))) (taylor inf c) (#s(alt (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (*.f64 #s(literal -1/2 binary64) c)) (patch (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (*.f64 #s(literal -1/2 binary64) c)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 3) (- (* -9/16 (/ (pow a 2) (pow b 4))) (* 1/2 (/ 1 (pow c 2))))) (taylor inf c) (#s(alt (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (*.f64 #s(literal -1/2 binary64) c)) (patch (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (*.f64 #s(literal -1/2 binary64) c)) #<representation binary64>) () ())) ())
#s(alt (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (taylor inf c) (#s(alt (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (*.f64 #s(literal -1/2 binary64) c))) (patch (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (*.f64 #s(literal -1/2 binary64) c))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 3) (+ (* -9/16 (/ (pow a 2) (pow b 4))) (* -3/8 (/ a (* (pow b 2) c))))) (taylor inf c) (#s(alt (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (*.f64 #s(literal -1/2 binary64) c))) (patch (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (*.f64 #s(literal -1/2 binary64) c))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 3) (- (+ (* -9/16 (/ (pow a 2) (pow b 4))) (* -3/8 (/ a (* (pow b 2) c)))) (/ 1/2 (pow c 2)))) (taylor inf c) (#s(alt (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (*.f64 #s(literal -1/2 binary64) c))) (patch (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (*.f64 #s(literal -1/2 binary64) c))) #<representation binary64>) () ())) ())
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#s(alt (* 405/64 (/ (* (pow a 4) (pow c 4)) (pow b 6))) (taylor -inf a) (#s(alt (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64)))) (patch (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 405/64 (/ (* (pow a 4) (pow c 4)) (pow b 6))) (taylor -inf a) (#s(alt (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64)))) (patch (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 405/64 (/ (* (pow a 4) (pow c 4)) (pow b 6))) (taylor -inf a) (#s(alt (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64)))) (patch (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (pow c 4)) (taylor -inf a) (#s(alt (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (patch (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (pow c 4)) (taylor -inf a) (#s(alt (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (patch (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (pow c 4)) (taylor -inf a) (#s(alt (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (patch (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (pow c 4)) (taylor -inf a) (#s(alt (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (patch (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -3 (* a c)) (taylor -inf a) (#s(alt (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (patch (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))) (taylor -inf a) (#s(alt (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (patch (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))) (taylor -inf a) (#s(alt (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (patch (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))) (taylor -inf a) (#s(alt (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (patch (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow a 2) (pow c 3)) (pow b 4)) (taylor -inf a) (#s(alt (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) (patch (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow a 2) (pow c 3)) (pow b 4)) (taylor -inf a) (#s(alt (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) (patch (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow a 2) (pow c 3)) (pow b 4)) (taylor -inf a) (#s(alt (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) (patch (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow a 2) (pow c 3)) (pow b 4)) (taylor -inf a) (#s(alt (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) (patch (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* a (pow c 3)) (taylor -inf a) (#s(alt (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (patch (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (* a (pow c 3)) (taylor -inf a) (#s(alt (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (patch (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (* a (pow c 3)) (taylor -inf a) (#s(alt (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (patch (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (* a (pow c 3)) (taylor -inf a) (#s(alt (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (patch (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
14.0ms
b
@0
((+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (/ c b) -1/2) (/ c b) (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (sqrt (+ (* (* -3 c) a) (* b b))) (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/ 1/3 (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a)) (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c)) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) b) (/ (pow c 3) (pow b 4)) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6))) (* (pow c 4) (pow a 4)) (+ (* (* -3 c) a) (* b b)) (/ (* (* (pow c 3) a) a) (pow b 4)) (* (pow c 3) a) (* (* c c) -3/8))
12.0ms
c
@0
((+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (/ c b) -1/2) (/ c b) (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (sqrt (+ (* (* -3 c) a) (* b b))) (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/ 1/3 (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a)) (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c)) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) b) (/ (pow c 3) (pow b 4)) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6))) (* (pow c 4) (pow a 4)) (+ (* (* -3 c) a) (* b b)) (/ (* (* (pow c 3) a) a) (pow b 4)) (* (pow c 3) a) (* (* c c) -3/8))
11.0ms
c
@-inf
((+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (/ c b) -1/2) (/ c b) (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (sqrt (+ (* (* -3 c) a) (* b b))) (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/ 1/3 (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a)) (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c)) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) b) (/ (pow c 3) (pow b 4)) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6))) (* (pow c 4) (pow a 4)) (+ (* (* -3 c) a) (* b b)) (/ (* (* (pow c 3) a) a) (pow b 4)) (* (pow c 3) a) (* (* c c) -3/8))
11.0ms
c
@inf
((+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (/ c b) -1/2) (/ c b) (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (sqrt (+ (* (* -3 c) a) (* b b))) (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/ 1/3 (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a)) (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c)) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) b) (/ (pow c 3) (pow b 4)) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6))) (* (pow c 4) (pow a 4)) (+ (* (* -3 c) a) (* b b)) (/ (* (* (pow c 3) a) a) (pow b 4)) (* (pow c 3) a) (* (* c c) -3/8))
9.0ms
b
@inf
((+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (/ c b) -1/2) (/ c b) (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (sqrt (+ (* (* -3 c) a) (* b b))) (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/ 1/3 (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a)) (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c)) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) b) (/ (pow c 3) (pow b 4)) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6))) (* (pow c 4) (pow a 4)) (+ (* (* -3 c) a) (* b b)) (/ (* (* (pow c 3) a) a) (pow b 4)) (* (pow c 3) a) (* (* c c) -3/8))

simplify208.0ms (2.4%)

Memory
76.4MiB live, 76.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0145317219
1483216936
0869416225
Stop Event
iter limit
node limit
Counts
816 → 813
Calls
Call 1
Inputs
(* -1/2 c)
(* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 4))) (* -3/8 (/ a (pow b 2))))) 1/2))
(* c (- (* c (+ (* -3/8 (/ a (pow b 2))) (* c (+ (* -135/128 (/ (* (pow a 3) c) (pow b 6))) (* -9/16 (/ (pow a 2) (pow b 4))))))) 1/2))
(* -1/2 c)
(* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2))
(* c (- (* c (+ (* -135/128 (/ (* (pow a 3) (pow c 2)) (pow b 6))) (* -3/8 (/ a (pow b 2))))) 1/2))
(* c (- (* c (+ (* -135/128 (/ (* (pow a 3) (pow c 2)) (pow b 6))) (* -3/8 (/ a (pow b 2))))) 1/2))
(* -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))
(* -1/2 (/ c b))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))
(* -1/2 (/ c b))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(* -1/2 (/ c b))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))
(* -3/2 (/ c b))
(* c (- (* -9/8 (/ (* a c) (pow b 3))) (* 3/2 (/ 1 b))))
(* c (- (* c (+ (* -27/16 (/ (* (pow a 2) c) (pow b 5))) (* -9/8 (/ a (pow b 3))))) (* 3/2 (/ 1 b))))
(* c (- (* c (+ (* -9/8 (/ a (pow b 3))) (* c (+ (* -27/16 (/ (pow a 2) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 3/2 (/ 1 b))))
(* -3/2 (/ (* a c) b))
(* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b))))))))
b
(+ b (* -3/2 (/ (* a c) b)))
(+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))))
(* -2/3 (/ b c))
(/ (+ (* -2/3 b) (* 1/2 (/ (* a c) b))) c)
(/ (+ (* -2/3 b) (* c (- (* -1 (* c (+ (* -3/4 (/ (pow a 2) (pow b 3))) (* 3/8 (/ (pow a 2) (pow b 3)))))) (* -1/2 (/ a b))))) c)
(/ (+ (* -2/3 b) (* c (- (* c (- (* -1 (* c (+ (* -3/4 (/ (* a (+ (* -3/4 (/ (pow a 2) (pow b 3))) (* 3/8 (/ (pow a 2) (pow b 3))))) (pow b 2))) (+ (* -2/9 (/ (* b (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) a)) (* 9/16 (/ (pow a 3) (pow b 5))))))) (+ (* -3/4 (/ (pow a 2) (pow b 3))) (* 3/8 (/ (pow a 2) (pow b 3)))))) (* -1/2 (/ a b))))) c)
(* -1/2 (/ c b))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))
(* -2/3 (/ b (* a c)))
(/ (+ (* -2/3 (/ b a)) (* 1/2 (/ c b))) c)
(/ (+ (* -2/3 (/ b a)) (* c (+ (* -1 (* c (+ (* -3/4 (/ a (pow b 3))) (* 3/8 (/ a (pow b 3)))))) (* 1/2 (/ 1 b))))) c)
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(* (pow a 4) (pow c 4))
(* (pow a 4) (pow c 4))
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(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
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(/ c b)
(/ c b)
(/ c b)
(/ c b)
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(* (sqrt (/ a c)) (/ 1 (sqrt -3)))
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(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))
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(* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))
(/ (+ (* (sqrt (/ c a)) (/ 1 (sqrt -3))) (/ b (* a (pow (sqrt -3) 2)))) c)
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(/ (- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -3) 4)))) (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3)))) (pow c 3))) (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* -1 (/ b (* a (pow (sqrt -3) 2)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -3) 3))))))) c)
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
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(* (pow c 3) (- (* -9/16 (/ (pow a 2) (pow b 4))) (* 1/2 (/ 1 (pow c 2)))))
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(* (pow c 3) (+ (* -9/16 (/ (pow a 2) (pow b 4))) (* -3/8 (/ a (* (pow b 2) c)))))
(* (pow c 3) (- (+ (* -9/16 (/ (pow a 2) (pow b 4))) (* -3/8 (/ a (* (pow b 2) c)))) (/ 1/2 (pow c 2))))
(* (pow c 3) (- (+ (* -9/16 (/ (pow a 2) (pow b 4))) (* -3/8 (/ a (* (pow b 2) c)))) (/ 1/2 (pow c 2))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))
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(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 5)))
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(* (pow c 3) (- (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c)))) (/ 1/2 (* b (pow c 2)))))
(* (pow c 3) (- (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c)))) (/ 1/2 (* b (pow c 2)))))
(/ (pow c 3) (pow b 4))
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(* (pow a 4) (pow c 4))
(* (pow a 4) (pow c 4))
(* -3 (* a c))
(* c (+ (* -3 a) (/ (pow b 2) c)))
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(/ (* (pow a 2) (pow c 3)) (pow b 4))
(/ (* (pow a 2) (pow c 3)) (pow b 4))
(/ (* (pow a 2) (pow c 3)) (pow b 4))
(/ (* (pow a 2) (pow c 3)) (pow b 4))
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(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 6))) (* -1 (/ (+ (* 3/8 (/ a (* (pow b 2) c))) (* 9/16 (/ (pow a 2) (pow b 4)))) c))))
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(* (pow c 2) (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c))))))
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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)))))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c))))))
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(/ c b)
(/ c b)
(/ c b)
(/ c b)
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(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c))))))
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(* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
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(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c))) c)) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
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(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
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(* -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 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3))))
(* -1 (/ (+ (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3))) (/ b (pow (sqrt 3) 2))) c))
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) (/ (* b c) (pow (sqrt 3) 2))) c)) (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) c))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/2 (/ (* (pow b 3) c) (* a (pow (sqrt 3) 4)))) (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) c)) (/ (* b c) (pow (sqrt 3) 2))) c)) (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) c))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* (sqrt (/ 1 (* a c))) (/ (sqrt -1) (sqrt 3))))
(* -1 (/ (+ (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3))) (/ b (* a (pow (sqrt 3) 2)))) c))
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(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(* -1 (* (pow c 3) (+ (* 9/16 (/ (pow a 2) (pow b 4))) (* 1/2 (/ 1 (pow c 2))))))
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(* -1 (* (pow c 3) (+ (* -1 (/ (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c))) c)) (* 9/16 (/ (pow a 2) (pow b 4))))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
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(/ (pow c 3) (pow b 4))
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(/ (pow c 3) (pow b 4))
(* 405/64 (/ (* (pow a 4) (pow c 4)) (pow b 6)))
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(* 405/64 (/ (* (pow a 4) (pow c 4)) (pow b 6)))
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(* (pow a 4) (pow c 4))
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(* (pow a 4) (pow c 4))
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(/ (* (pow a 2) (pow c 3)) (pow b 4))
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(* a (pow c 3))
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(/ c b)
(/ c b)
(/ c b)
(/ c b)
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
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(* (sqrt (/ a c)) (/ 1 (sqrt -3)))
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(* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))
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(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
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(/ (+ (* -9/16 (* (pow a 2) (pow c 3))) (* -1/2 (* (pow b 4) c))) (pow b 4))
(/ (+ (* -9/16 (* (pow a 2) (pow c 3))) (* -1/2 (* (pow b 4) c))) (pow b 4))
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(/ (+ (* -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 4))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
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(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 5)))
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(/ (+ (* -9/16 (* (pow a 2) (pow c 3))) (* (pow b 2) (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))))) (pow b 5))
(/ (pow c 3) (pow b 4))
(/ (pow c 3) (pow b 4))
(/ (pow c 3) (pow b 4))
(/ (pow c 3) (pow b 4))
(* 405/64 (/ (* (pow a 4) (pow c 4)) (pow b 6)))
(* 405/64 (/ (* (pow a 4) (pow c 4)) (pow b 6)))
(* 405/64 (/ (* (pow a 4) (pow c 4)) (pow b 6)))
(* 405/64 (/ (* (pow a 4) (pow c 4)) (pow b 6)))
(* -3 (* a c))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(/ (* (pow a 2) (pow c 3)) (pow b 4))
(/ (* (pow a 2) (pow c 3)) (pow b 4))
(/ (* (pow a 2) (pow c 3)) (pow b 4))
(/ (* (pow a 2) (pow c 3)) (pow b 4))
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(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))
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(* -1/2 c)
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(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -1/2 (/ c b))
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(* -1/2 (/ c b))
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -3/2 (/ c b))
(/ (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -3/2 c) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -3/2 (/ (* a c) b))
(/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
b
(* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -2/3 (/ b c))
(* b (- (* 1/2 (/ a (pow b 2))) (* 2/3 (/ 1 c))))
(* b (- (* -1 (/ (+ (* -3/4 (* (pow a 2) c)) (* 3/8 (* (pow a 2) c))) (pow b 4))) (+ (* -1/2 (/ a (pow b 2))) (* 2/3 (/ 1 c)))))
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(* -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 c)))
(* b (- (* 1/2 (/ 1 (pow b 2))) (* 2/3 (/ 1 (* a c)))))
(* b (- (+ (* -1 (/ (+ (* -3/4 (* a c)) (* 3/8 (* a c))) (pow b 4))) (* 1/2 (/ 1 (pow b 2)))) (* 2/3 (/ 1 (* a c)))))
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(* -1/2 c)
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(+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (* -1/2 c))
(+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (* -1/2 c))
(* -1/2 c)
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))
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(+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))))
(* -1/2 (/ c b))
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -1/2 (/ c b))
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (pow c 3) (pow b 4))
(/ (pow c 3) (pow b 4))
(/ (pow c 3) (pow b 4))
(/ (pow c 3) (pow b 4))
(* 405/64 (/ (* (pow a 4) (pow c 4)) (pow b 6)))
(* 405/64 (/ (* (pow a 4) (pow c 4)) (pow b 6)))
(* 405/64 (/ (* (pow a 4) (pow c 4)) (pow b 6)))
(* 405/64 (/ (* (pow a 4) (pow c 4)) (pow b 6)))
(pow b 2)
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(/ (* (pow a 2) (pow c 3)) (pow b 4))
(/ (* (pow a 2) (pow c 3)) (pow b 4))
(/ (* (pow a 2) (pow c 3)) (pow b 4))
(/ (* (pow a 2) (pow c 3)) (pow b 4))
(* -1/2 c)
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))
(+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))))
(+ (* -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))))))
(* -1/2 c)
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))
(+ (* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))))
(+ (* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) (+ (* -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))))
(* -2/3 (/ b a))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))))
(* -2/3 (/ b a))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(* -2/3 (/ b a))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))))
(* -2 (/ b a))
(* -1 (* b (+ (* -3/2 (/ c (pow b 2))) (* 2 (/ 1 a)))))
(* -1 (* b (+ (* -3/2 (/ c (pow b 2))) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 4))) (* 2 (/ 1 a))))))
(* -1 (* b (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ c (pow b 2))) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 4))) (* 2 (/ 1 a)))))))
(* -2 b)
(* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -1 b)
(* -1 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -1/2 (/ a b))
(* -1 (/ (+ (* 3/8 (/ (* (pow a 2) c) (pow b 2))) (* 1/2 a)) b))
(* -1 (/ (- (+ (* 1/2 a) (* 9/16 (/ (* (pow a 3) (pow c 2)) (pow b 4)))) (* -3/8 (/ (* (pow a 2) c) (pow b 2)))) b))
(* -1 (/ (- (+ (* -1 (/ (+ (* -27/32 (* (pow a 4) (pow c 3))) (* -27/128 (* (pow a 4) (pow c 3)))) (pow b 6))) (* 1/2 a)) (+ (* -9/16 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* -3/8 (/ (* (pow a 2) c) (pow b 2))))) b))
(* -2/3 (/ b a))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))))
(/ -1/2 b)
(* -1 (/ (+ 1/2 (* 3/8 (/ (* a c) (pow b 2)))) b))
(* -1 (/ (- (+ 1/2 (* 9/16 (/ (* (pow a 2) (pow c 2)) (pow b 4)))) (* -3/8 (/ (* a c) (pow b 2)))) b))
(* -1 (/ (- (+ 1/2 (* -1 (/ (+ (* -27/32 (* (pow a 3) (pow c 3))) (* -27/128 (* (pow a 3) (pow c 3)))) (pow b 6)))) (+ (* -9/16 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -3/8 (/ (* a c) (pow b 2))))) b))
(* -1/2 c)
(+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (* -1/2 c))
(+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (* -1/2 c))
(+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (* -1/2 c))
(* -1/2 c)
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))
(+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))))
(+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))))
(* -2/3 (/ b a))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))))
(* -1/2 (/ c b))
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 c)) b))
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (+ (* 1/2 c) (* 9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))))) b))
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (+ (* 1/2 c) (* 9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))))) b))
(/ (pow c 3) (pow b 4))
(/ (pow c 3) (pow b 4))
(/ (pow c 3) (pow b 4))
(/ (pow c 3) (pow b 4))
(* 405/64 (/ (* (pow a 4) (pow c 4)) (pow b 6)))
(* 405/64 (/ (* (pow a 4) (pow c 4)) (pow b 6)))
(* 405/64 (/ (* (pow a 4) (pow c 4)) (pow b 6)))
(* 405/64 (/ (* (pow a 4) (pow c 4)) (pow b 6)))
(pow b 2)
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(/ (* (pow a 2) (pow c 3)) (pow b 4))
(/ (* (pow a 2) (pow c 3)) (pow b 4))
(/ (* (pow a 2) (pow c 3)) (pow b 4))
(/ (* (pow a 2) (pow c 3)) (pow b 4))
(* -1/2 c)
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))
(+ (* -1/2 c) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 4))) (* -3/8 (/ (pow c 2) (pow b 2))))))
(+ (* -1/2 c) (* a (+ (* -3/8 (/ (pow c 2) (pow b 2))) (* a (+ (* -135/128 (/ (* a (pow c 4)) (pow b 6))) (* -9/16 (/ (pow c 3) (pow b 4))))))))
(* -1/2 c)
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))
(+ (* -1/2 c) (* a (+ (* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 6))) (* -3/8 (/ (pow c 2) (pow b 2))))))
(+ (* -1/2 c) (* a (+ (* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 6))) (* -3/8 (/ (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 b))
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))
(* -1/2 (/ c b))
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))
(* -1/2 (/ c b))
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))
(* -3/2 (/ c b))
(+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))
(+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))
(* -3/2 (/ (* a c) b))
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))))
b
(+ b (* -3/2 (/ (* a c) b)))
(+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))))
(* -2/3 (/ b c))
(+ (* -2/3 (/ b c)) (* 1/2 (/ a b)))
(+ (* -2/3 (/ b c)) (* a (+ (* -1 (* a (+ (* -3/4 (/ c (pow b 3))) (* 3/8 (/ c (pow b 3)))))) (* 1/2 (/ 1 b)))))
(+ (* -2/3 (/ b c)) (* a (+ (* a (- (* -1 (* a (+ (* -3/4 (/ (* c (+ (* -3/4 (/ c (pow b 3))) (* 3/8 (/ c (pow b 3))))) (pow b 2))) (+ (* -2/9 (/ (* b (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) (pow c 2))) (* 9/16 (/ (pow c 2) (pow b 5))))))) (+ (* -3/4 (/ c (pow b 3))) (* 3/8 (/ c (pow b 3)))))) (* 1/2 (/ 1 b)))))
(* -1/2 (/ c b))
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))
(* -2/3 (/ b (* a c)))
(/ (+ (* -2/3 (/ b c)) (* 1/2 (/ a b))) a)
(/ (+ (* -2/3 (/ b c)) (* a (+ (* -1 (* a (+ (* -3/4 (/ c (pow b 3))) (* 3/8 (/ c (pow b 3)))))) (* 1/2 (/ 1 b))))) a)
(/ (+ (* -2/3 (/ b c)) (* a (+ (* a (- (* -1 (* a (+ (* -3/4 (/ (* c (+ (* -3/4 (/ c (pow b 3))) (* 3/8 (/ c (pow b 3))))) (pow b 2))) (+ (* -2/9 (/ (* b (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) (pow c 2))) (* 9/16 (/ (pow c 2) (pow b 5))))))) (+ (* -3/4 (/ c (pow b 3))) (* 3/8 (/ c (pow b 3)))))) (* 1/2 (/ 1 b))))) a)
(* -1/2 c)
(+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (* -1/2 c))
(+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (* -1/2 c))
(+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (* -1/2 c))
(* -1/2 c)
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))
(+ (* -1/2 c) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 4))) (* -3/8 (/ (pow c 2) (pow b 2))))))
(+ (* -1/2 c) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 4))) (* -3/8 (/ (pow c 2) (pow b 2))))))
(* -1/2 (/ c b))
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))
(* -1/2 (/ c b))
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))
(* 405/64 (/ (* (pow a 4) (pow c 4)) (pow b 6)))
(* 405/64 (/ (* (pow a 4) (pow c 4)) (pow b 6)))
(* 405/64 (/ (* (pow a 4) (pow c 4)) (pow b 6)))
(* 405/64 (/ (* (pow a 4) (pow c 4)) (pow b 6)))
(* (pow a 4) (pow c 4))
(* (pow a 4) (pow c 4))
(* (pow a 4) (pow c 4))
(* (pow a 4) (pow c 4))
(pow b 2)
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(/ (* (pow a 2) (pow c 3)) (pow b 4))
(/ (* (pow a 2) (pow c 3)) (pow b 4))
(/ (* (pow a 2) (pow c 3)) (pow b 4))
(/ (* (pow a 2) (pow c 3)) (pow b 4))
(* a (pow c 3))
(* a (pow c 3))
(* a (pow c 3))
(* a (pow c 3))
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6)))
(* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 6))) (* -9/16 (/ (pow c 3) (* a (pow b 4))))))
(* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 6))) (+ (* -9/16 (/ (pow c 3) (* a (pow b 4)))) (* -3/8 (/ (pow c 2) (* (pow a 2) (pow b 2)))))))
(* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 6))) (+ (* -9/16 (/ (pow c 3) (* a (pow b 4)))) (+ (* -1/2 (/ c (pow a 3))) (* -3/8 (/ (pow c 2) (* (pow a 2) (pow b 2))))))))
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6)))
(* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 6))) (* -3/8 (/ (pow c 2) (* (pow a 2) (pow b 2))))))
(* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 6))) (+ (* -1/2 (/ c (pow a 3))) (* -3/8 (/ (pow c 2) (* (pow a 2) (pow b 2)))))))
(* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 6))) (+ (* -1/2 (/ c (pow a 3))) (* -3/8 (/ (pow c 2) (* (pow a 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)))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))
(* (sqrt (/ c a)) (sqrt -3))
(+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1 (/ b a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))
(+ (* -1 (/ b a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))
(* (sqrt (* a c)) (sqrt -3))
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a)))
(* (sqrt (* a c)) (sqrt -3))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))))
(* (sqrt (/ a c)) (/ 1 (sqrt -3)))
(+ (* (sqrt (/ a c)) (/ 1 (sqrt -3))) (/ b (* c (pow (sqrt -3) 2))))
(- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3))))) (pow a 2))) (* (sqrt (/ a c)) (/ 1 (sqrt -3)))) (* -1 (/ b (* c (pow (sqrt -3) 2)))))
(- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow a 2) (pow b 3)) (* (pow c 2) (pow (sqrt -3) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3)))) (pow a 3))) (* (sqrt (/ a c)) (/ 1 (sqrt -3)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* -1 (/ b (* c (pow (sqrt -3) 2)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))
(* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))
(/ (+ (* (sqrt (/ a c)) (/ 1 (sqrt -3))) (/ b (* c (pow (sqrt -3) 2)))) a)
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3))))) (pow a 2))) (* (sqrt (/ a c)) (/ 1 (sqrt -3)))) (* -1 (/ b (* c (pow (sqrt -3) 2))))) a)
(/ (- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow a 2) (pow b 3)) (* (pow c 2) (pow (sqrt -3) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3)))) (pow a 3))) (* (sqrt (/ a c)) (/ 1 (sqrt -3)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* -1 (/ b (* c (pow (sqrt -3) 2)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3))))))) a)
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 4))) (* -1/2 (/ c (pow a 2)))))
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 4))) (* -1/2 (/ c (pow a 2)))))
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 4))) (* -1/2 (/ c (pow a 2)))))
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 4))) (* -3/8 (/ (pow c 2) (* a (pow b 2))))))
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 4))) (+ (* -1/2 (/ c (pow a 2))) (* -3/8 (/ (pow c 2) (* a (pow b 2)))))))
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 4))) (+ (* -1/2 (/ c (pow a 2))) (* -3/8 (/ (pow c 2) (* a (pow b 2)))))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 5)))
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -3/8 (/ (pow c 2) (* a (pow b 3))))))
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 5))) (+ (* -1/2 (/ c (* (pow a 2) b))) (* -3/8 (/ (pow c 2) (* a (pow b 3)))))))
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 5))) (+ (* -1/2 (/ c (* (pow a 2) b))) (* -3/8 (/ (pow c 2) (* a (pow b 3)))))))
(* 405/64 (/ (* (pow a 4) (pow c 4)) (pow b 6)))
(* 405/64 (/ (* (pow a 4) (pow c 4)) (pow b 6)))
(* 405/64 (/ (* (pow a 4) (pow c 4)) (pow b 6)))
(* 405/64 (/ (* (pow a 4) (pow c 4)) (pow b 6)))
(* (pow a 4) (pow c 4))
(* (pow a 4) (pow c 4))
(* (pow a 4) (pow c 4))
(* (pow a 4) (pow c 4))
(* -3 (* a c))
(* a (+ (* -3 c) (/ (pow b 2) a)))
(* a (+ (* -3 c) (/ (pow b 2) a)))
(* a (+ (* -3 c) (/ (pow b 2) a)))
(/ (* (pow a 2) (pow c 3)) (pow b 4))
(/ (* (pow a 2) (pow c 3)) (pow b 4))
(/ (* (pow a 2) (pow c 3)) (pow b 4))
(/ (* (pow a 2) (pow c 3)) (pow b 4))
(* a (pow c 3))
(* a (pow c 3))
(* a (pow c 3))
(* a (pow c 3))
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6)))
(* -1 (* (pow a 3) (+ (* 9/16 (/ (pow c 3) (* a (pow b 4)))) (* 135/128 (/ (pow c 4) (pow b 6))))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -9/16 (/ (pow c 3) (pow b 4))) (* -3/8 (/ (pow c 2) (* a (pow b 2))))) a)) (* 135/128 (/ (pow c 4) (pow b 6))))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* 3/8 (/ (pow c 2) (pow b 2))) (* 1/2 (/ c a))) a)) (* -9/16 (/ (pow c 3) (pow b 4)))) a)) (* 135/128 (/ (pow c 4) (pow b 6))))))
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6)))
(* -1 (* (pow a 3) (+ (* 3/8 (/ (pow c 2) (* (pow a 2) (pow b 2)))) (* 135/128 (/ (pow c 4) (pow b 6))))))
(* -1 (* (pow a 3) (+ (* 3/8 (/ (pow c 2) (* (pow a 2) (pow b 2)))) (+ (* 1/2 (/ c (pow a 3))) (* 135/128 (/ (pow c 4) (pow b 6)))))))
(* -1 (* (pow a 3) (+ (* 3/8 (/ (pow c 2) (* (pow a 2) (pow b 2)))) (+ (* 1/2 (/ c (pow a 3))) (* 135/128 (/ (pow c 4) (pow b 6)))))))
(* -3/8 (/ (* a (pow c 2)) (pow b 2)))
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 2))) (* 1/2 (/ c a)))))
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 2))) (* 1/2 (/ c a)))))
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 2))) (* 1/2 (/ c a)))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (+ b (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)))
(+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (+ b (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a))) a)))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))
(* -1 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3))))
(+ (* -1 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ b (* c (pow (sqrt 3) 2)))))
(+ (* -1 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* -1 (/ (* a b) (* c (pow (sqrt 3) 2))))) a)))
(+ (* -1 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* a (pow b 3)) (* (pow c 2) (pow (sqrt 3) 4)))) (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) (sqrt 3)))) (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* -1 (/ (* a b) (* c (pow (sqrt 3) 2))))) a)))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(* -1 (* (sqrt (/ 1 (* a c))) (/ (sqrt -1) (sqrt 3))))
(* -1 (/ (+ (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3))) (/ b (* c (pow (sqrt 3) 2)))) a))
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) (/ (* a b) (* c (pow (sqrt 3) 2)))) a)) (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3)))) a))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/2 (/ (* a (pow b 3)) (* (pow c 2) (pow (sqrt 3) 4)))) (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) a)) (/ (* a b) (* c (pow (sqrt 3) 2)))) a)) (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3)))) a))
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 4))) (* -1/2 (/ c (pow a 2)))))
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 4))) (* -1/2 (/ c (pow a 2)))))
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 4))) (* -1/2 (/ c (pow a 2)))))
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 4))) (* -3/8 (/ (pow c 2) (* a (pow b 2))))))
(* (pow a 2) (+ (* -1 (/ (+ (* 3/8 (/ (pow c 2) (pow b 2))) (* 1/2 (/ c a))) a)) (* -9/16 (/ (pow c 3) (pow b 4)))))
(* (pow a 2) (+ (* -1 (/ (+ (* 3/8 (/ (pow c 2) (pow b 2))) (* 1/2 (/ c a))) a)) (* -9/16 (/ (pow c 3) (pow b 4)))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 5)))
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -3/8 (/ (pow c 2) (* a (pow b 3))))))
(* (pow a 2) (+ (* -1 (/ (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))) a)) (* -9/16 (/ (pow c 3) (pow b 5)))))
(* (pow a 2) (+ (* -1 (/ (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))) a)) (* -9/16 (/ (pow c 3) (pow b 5)))))
(* 405/64 (/ (* (pow a 4) (pow c 4)) (pow b 6)))
(* 405/64 (/ (* (pow a 4) (pow c 4)) (pow b 6)))
(* 405/64 (/ (* (pow a 4) (pow c 4)) (pow b 6)))
(* 405/64 (/ (* (pow a 4) (pow c 4)) (pow b 6)))
(* (pow a 4) (pow c 4))
(* (pow a 4) (pow c 4))
(* (pow a 4) (pow c 4))
(* (pow a 4) (pow c 4))
(* -3 (* a c))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))
(/ (* (pow a 2) (pow c 3)) (pow b 4))
(/ (* (pow a 2) (pow c 3)) (pow b 4))
(/ (* (pow a 2) (pow c 3)) (pow b 4))
(/ (* (pow a 2) (pow c 3)) (pow b 4))
(* a (pow c 3))
(* a (pow c 3))
(* a (pow c 3))
(* a (pow c 3))
Outputs
(* -1/2 c)
(*.f64 c #s(literal -1/2 binary64))
(* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2))
(*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64)) c)
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 4))) (* -3/8 (/ a (pow b 2))))) 1/2))
(*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (/.f64 a b) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 4 binary64)))) c #s(literal -1/2 binary64)) c)
(* c (- (* c (+ (* -3/8 (/ a (pow b 2))) (* c (+ (* -135/128 (/ (* (pow a 3) c) (pow b 6))) (* -9/16 (/ (pow a 2) (pow b 4))))))) 1/2))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)
(* -1/2 c)
(*.f64 c #s(literal -1/2 binary64))
(* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2))
(*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64)) c)
(* c (- (* c (+ (* -135/128 (/ (* (pow a 3) (pow c 2)) (pow b 6))) (* -3/8 (/ a (pow b 2))))) 1/2))
(*.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) (pow.f64 a #s(literal 3 binary64))) (pow.f64 b #s(literal 6 binary64))) #s(literal -135/128 binary64) (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)
(* c (- (* c (+ (* -135/128 (/ (* (pow a 3) (pow c 2)) (pow b 6))) (* -3/8 (/ a (pow b 2))))) 1/2))
(*.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) (pow.f64 a #s(literal 3 binary64))) (pow.f64 b #s(literal 6 binary64))) #s(literal -135/128 binary64) (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)
(* -1/2 c)
(*.f64 c #s(literal -1/2 binary64))
(* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2))
(*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64)) c)
(* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2))
(*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64)) c)
(* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2))
(*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64)) c)
(* -1/2 (/ c b))
(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(*.f64 (fma.f64 (*.f64 a (/.f64 c (pow.f64 b #s(literal 3 binary64)))) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) b)) c)
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(*.f64 (fma.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 #s(literal -1/2 binary64) b)) c)
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/6 binary64) b) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) c) a) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)
(* -1/2 (/ c b))
(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(*.f64 (fma.f64 (*.f64 a (/.f64 c (pow.f64 b #s(literal 3 binary64)))) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) b)) c)
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(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(-.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (*.f64 #s(literal 1/3 binary64) b)) a))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 #s(literal 1/3 binary64) b (/.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 a c))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal 1/24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64)))))) (neg.f64 a))) (neg.f64 a)))
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 5)))
(*.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64))
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -3/8 (/ (pow c 2) (* a (pow b 3))))))
(*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) a) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -9/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) (*.f64 a a))
(* (pow a 2) (+ (* -1 (/ (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))) a)) (* -9/16 (/ (pow c 3) (pow b 5)))))
(*.f64 (fma.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 c b) (/.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) (neg.f64 a))) (*.f64 a a))
(* (pow a 2) (+ (* -1 (/ (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))) a)) (* -9/16 (/ (pow c 3) (pow b 5)))))
(*.f64 (fma.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 c b) (/.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) (neg.f64 a))) (*.f64 a a))
(* 405/64 (/ (* (pow a 4) (pow c 4)) (pow b 6)))
(*.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64))
(* 405/64 (/ (* (pow a 4) (pow c 4)) (pow b 6)))
(*.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64))
(* 405/64 (/ (* (pow a 4) (pow c 4)) (pow b 6)))
(*.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64))
(* 405/64 (/ (* (pow a 4) (pow c 4)) (pow b 6)))
(*.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64))
(* (pow a 4) (pow c 4))
(*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (pow c 4))
(*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (pow c 4))
(*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (pow c 4))
(*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))
(* -3 (* a c))
(*.f64 (*.f64 #s(literal -3 binary64) c) a)
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))
(*.f64 (neg.f64 a) (fma.f64 #s(literal 3 binary64) c (/.f64 (*.f64 b b) (neg.f64 a))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))
(*.f64 (neg.f64 a) (fma.f64 #s(literal 3 binary64) c (/.f64 (*.f64 b b) (neg.f64 a))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))
(*.f64 (neg.f64 a) (fma.f64 #s(literal 3 binary64) c (/.f64 (*.f64 b b) (neg.f64 a))))
(/ (* (pow a 2) (pow c 3)) (pow b 4))
(*.f64 (*.f64 a a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))))
(/ (* (pow a 2) (pow c 3)) (pow b 4))
(*.f64 (*.f64 a a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))))
(/ (* (pow a 2) (pow c 3)) (pow b 4))
(*.f64 (*.f64 a a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))))
(/ (* (pow a 2) (pow c 3)) (pow b 4))
(*.f64 (*.f64 a a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))))
(* a (pow c 3))
(*.f64 (pow.f64 c #s(literal 3 binary64)) a)
(* a (pow c 3))
(*.f64 (pow.f64 c #s(literal 3 binary64)) a)
(* a (pow c 3))
(*.f64 (pow.f64 c #s(literal 3 binary64)) a)
(* a (pow c 3))
(*.f64 (pow.f64 c #s(literal 3 binary64)) a)

rewrite175.0ms (2%)

Memory
69.3MiB live, 69.3MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
064452
0108440
1413432
23407432
08413432
Stop Event
iter limit
node limit
iter limit
Counts
25 → 911
Calls
Call 1
Inputs
(fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal -1/6 binary64) a) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c))))
(fma.f64 (/.f64 #s(literal -1/6 binary64) a) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)))
(fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal -1/6 binary64) a) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)))) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
(/.f64 c b)
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a)
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))
(*.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) a)
(/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) a))
(pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64))
(fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (*.f64 #s(literal -1/2 binary64) c))
(fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (*.f64 #s(literal -1/2 binary64) c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (*.f64 #s(literal -1/2 binary64) c))) b))
(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (*.f64 #s(literal -1/2 binary64) c))) b)
(/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64)))
(*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64))))
(*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))
(/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64)))
(*.f64 (pow.f64 c #s(literal 3 binary64)) a)
(*.f64 (*.f64 c c) #s(literal -3/8 binary64))
Outputs
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eval318.0ms (3.6%)

Memory
201.1MiB live, 201.1MiB allocated
Compiler

Compiled 72 626 to 6 375 computations (91.2% saved)

prune167.0ms (1.9%)

Memory
136.7MiB live, 136.7MiB allocated
Pruning

51 alts after pruning (50 fresh and 1 done)

PrunedKeptTotal
New1 963402 003
Fresh181028
Picked415
Done000
Total1 985512 036
Accuracy
99.8%
Counts
2 036 → 51
Alt Table
Click to see full alt table
StatusAccuracyProgram
20.2%
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (pow.f64 a #s(literal -1 binary64)) (neg.f64 (/.f64 b a))) #s(literal 3 binary64))
20.2%
(/.f64 (/.f64 (fma.f64 (sqrt.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -3 binary64) c) a) #s(literal 2 binary64)))) (sqrt.f64 (pow.f64 (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b)) #s(literal -1 binary64))) (neg.f64 b)) a) #s(literal 3 binary64))
19.5%
(/.f64 (/.f64 (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a) #s(literal 3 binary64))
19.5%
(/.f64 (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b)) (*.f64 a (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) #s(literal 3 binary64))
18.9%
(/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 3 binary64)) (pow.f64 (/.f64 b a) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 b a))))) #s(literal 3 binary64))
19.3%
(/.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (/.f64 (*.f64 b b) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) a) #s(literal 3 binary64))
20.0%
(/.f64 (/.f64 (-.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) a) #s(literal 3 binary64))
18.6%
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (*.f64 a b)) (*.f64 a a)) #s(literal 3 binary64))
18.5%
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) b) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 b b))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b)) (*.f64 #s(literal 3 binary64) a))
89.5%
(/.f64 (/.f64 #s(approx (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) a) #s(literal 3 binary64))
19.5%
(/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b)) (*.f64 (*.f64 #s(literal 3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
20.1%
(/.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal 3 binary64) a) (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))
18.8%
(/.f64 (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 b a)) #s(literal 3 binary64))
19.1%
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64)))
19.0%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
19.1%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (*.f64 b (/.f64 b a))) a)))) (*.f64 #s(literal 3 binary64) a))
19.5%
(/.f64 (*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1/3 binary64) a)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))
19.1%
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal 1/3 binary64)) a)
95.5%
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (/.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 (*.f64 c c) a) b) (*.f64 #s(literal -3/2 binary64) c)) b)) #s(literal 3 binary64))
89.8%
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64))
95.4%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 c c) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b)) (*.f64 #s(literal 3 binary64) a))
97.7%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) c) (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -27/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c)) (*.f64 #s(literal 3 binary64) a))
89.6%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 c b) #s(literal -3/2 binary64)) a)) (*.f64 #s(literal 3 binary64) a))
19.1%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) #s(literal 3 binary64)))
19.1%
(/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a)))
19.5%
(/.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 a (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
19.1%
(/.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a))
97.1%
(/.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 3/8 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal 1/2 binary64) b)) c (*.f64 (/.f64 b a) #s(literal -2/3 binary64))) c)) a))
95.5%
(/.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (/.f64 (fma.f64 (/.f64 b a) #s(literal -2/3 binary64) (*.f64 (/.f64 c b) #s(literal 1/2 binary64))) c)) a))
89.4%
(/.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (*.f64 (/.f64 b (*.f64 a c)) #s(literal -2/3 binary64))) a))
95.6%
(/.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) (*.f64 a c))) b)) a))
97.9%
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (fma.f64 (fma.f64 (fma.f64 (neg.f64 a) (fma.f64 (/.f64 #s(literal -3/4 binary64) b) (/.f64 (*.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) c) b) (fma.f64 (/.f64 #s(literal -2/9 binary64) c) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) b) c) (/.f64 (*.f64 #s(literal 9/16 binary64) (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))))) (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) #s(literal 3/8 binary64))) a (/.f64 #s(literal 1/2 binary64) b)) a (*.f64 (/.f64 b c) #s(literal -2/3 binary64)))))
97.3%
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (fma.f64 (fma.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) #s(literal 3/8 binary64)) a (/.f64 #s(literal 1/2 binary64) b)) a (*.f64 (/.f64 b c) #s(literal -2/3 binary64)))))
95.7%
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (fma.f64 (/.f64 b c) #s(literal -2/3 binary64) (*.f64 (/.f64 a b) #s(literal 1/2 binary64)))))
95.8%
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/.f64 (fma.f64 #s(literal -2/3 binary64) b (*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64))) c)))
89.5%
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (*.f64 (/.f64 b c) #s(literal -2/3 binary64))))
97.9%
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (*.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3/4 binary64) a) (*.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -3/8 binary64)) c) (fma.f64 (*.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (*.f64 c c)) (/.f64 #s(literal 405/64 binary64) a)) #s(literal -2/9 binary64) (*.f64 (*.f64 #s(literal 9/16 binary64) (pow.f64 a #s(literal 3 binary64))) (*.f64 c c)))) (neg.f64 (pow.f64 b #s(literal 6 binary64)))) (fma.f64 #s(literal -3/4 binary64) (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 4 binary64)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 a b) (fma.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 4 binary64)))) (/.f64 #s(literal 2/3 binary64) c))))) b)))
97.2%
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (*.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 a (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) c)))) b)))
18.6%
(-.f64 (/.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 3 binary64)) (/.f64 (/.f64 b a) #s(literal 3 binary64)))
18.7%
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (/.f64 b (*.f64 a #s(literal 3 binary64))))
19.1%
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))
19.1%
(*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 1/3 binary64)))
96.0%
#s(approx (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) b) (/.f64 (*.f64 c c) b) (*.f64 c #s(literal -1/2 binary64))) b))
97.6%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) #s(approx (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c)) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) #s(literal -1/2 binary64)) c))) b))
97.6%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(approx (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c))) (*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64)) c))) b))
97.5%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (/.f64 a b) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 4 binary64)))) c #s(literal -1/2 binary64)) c)) b))
96.0%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64)) c)) b))
98.2%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b))
89.6%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c)))
89.9%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
89.6%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b)))
Compiler

Compiled 2 522 to 1 683 computations (33.3% saved)

simplify206.0ms (2.3%)

Memory
50.0MiB live, 50.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (/.f64 a b) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 4 binary64)))) c #s(literal -1/2 binary64)) c))
cost-diff0
(/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (/.f64 a b) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 4 binary64)))) c #s(literal -1/2 binary64)) c)) b)
cost-diff0
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (/.f64 a b) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 4 binary64)))) c #s(literal -1/2 binary64)) c)) b))
cost-diff320
(fma.f64 (/.f64 #s(literal -3/8 binary64) b) (/.f64 a b) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 4 binary64))))
cost-diff0
(/.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 (*.f64 c c) a) b) (*.f64 #s(literal -3/2 binary64) c)) b)
cost-diff0
#s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (/.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 (*.f64 c c) a) b) (*.f64 #s(literal -3/2 binary64) c)) b))
cost-diff0
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (/.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 (*.f64 c c) a) b) (*.f64 #s(literal -3/2 binary64) c)) b)) #s(literal 3 binary64))
cost-diff320
(fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 (*.f64 c c) a) b) (*.f64 #s(literal -3/2 binary64) c))
cost-diff0
(*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64)) c)
cost-diff0
#s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64)) c))
cost-diff0
(/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64)) c)) b)
cost-diff0
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64)) c)) b))
cost-diff0
(/.f64 #s(literal -1/2 binary64) b)
cost-diff0
(*.f64 c (/.f64 #s(literal -1/2 binary64) b))
cost-diff0
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b)))
cost-diff0
#s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c))
cost-diff0
(/.f64 #s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b)
cost-diff0
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b))
cost-diff6464
(fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 6 binary64))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01061076
01541076
12871072
26371012
31608986
42474986
53185986
64074986
75393986
87624986
08193951
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 #s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b))
(/.f64 #s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b)
#s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64))
(fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64)))
(fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 6 binary64))))
(/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64)))
(*.f64 a a)
a
(pow.f64 b #s(literal 4 binary64))
b
#s(literal 4 binary64)
#s(literal -9/16 binary64)
(/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 6 binary64)))
(*.f64 #s(literal -135/128 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))
#s(literal -135/128 binary64)
(*.f64 (pow.f64 a #s(literal 3 binary64)) c)
(pow.f64 a #s(literal 3 binary64))
#s(literal 3 binary64)
c
(pow.f64 b #s(literal 6 binary64))
#s(literal 6 binary64)
(*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))
(/.f64 a (*.f64 b b))
(*.f64 b b)
#s(literal -3/8 binary64)
#s(literal -1/2 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b)))
(*.f64 c (/.f64 #s(literal -1/2 binary64) b))
c
(/.f64 #s(literal -1/2 binary64) b)
#s(literal -1/2 binary64)
b
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64)) c)) b))
(/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64)) c)) b)
#s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64)) c))
(*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64)) c)
(fma.f64 (/.f64 #s(literal -3/8 binary64) b) (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64))
(/.f64 #s(literal -3/8 binary64) b)
#s(literal -3/8 binary64)
b
(*.f64 a (/.f64 c b))
a
(/.f64 c b)
c
#s(literal -1/2 binary64)
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (/.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 (*.f64 c c) a) b) (*.f64 #s(literal -3/2 binary64) c)) b)) #s(literal 3 binary64))
#s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (/.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 (*.f64 c c) a) b) (*.f64 #s(literal -3/2 binary64) c)) b))
(/.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 (*.f64 c c) a) b) (*.f64 #s(literal -3/2 binary64) c)) b)
(fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 (*.f64 c c) a) b) (*.f64 #s(literal -3/2 binary64) c))
(/.f64 #s(literal -9/8 binary64) b)
#s(literal -9/8 binary64)
b
(/.f64 (*.f64 (*.f64 c c) a) b)
(*.f64 (*.f64 c c) a)
(*.f64 c c)
c
a
(*.f64 #s(literal -3/2 binary64) c)
#s(literal -3/2 binary64)
#s(literal 3 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (/.f64 a b) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 4 binary64)))) c #s(literal -1/2 binary64)) c)) b))
(/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (/.f64 a b) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 4 binary64)))) c #s(literal -1/2 binary64)) c)) b)
#s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (/.f64 a b) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 4 binary64)))) c #s(literal -1/2 binary64)) c))
(*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (/.f64 a b) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 4 binary64)))) c #s(literal -1/2 binary64)) c)
(fma.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (/.f64 a b) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 4 binary64)))) c #s(literal -1/2 binary64))
(fma.f64 (/.f64 #s(literal -3/8 binary64) b) (/.f64 a b) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 4 binary64))))
(/.f64 #s(literal -3/8 binary64) b)
#s(literal -3/8 binary64)
b
(/.f64 a b)
a
(/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 4 binary64)))
(*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c))
#s(literal -9/16 binary64)
(*.f64 (*.f64 a a) c)
(*.f64 a a)
c
(pow.f64 b #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal -1/2 binary64)
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 a a) (fma.f64 c (*.f64 (/.f64 #s(literal -135/128 binary64) (pow.f64 b #s(literal 6 binary64))) a) (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 4 binary64))))) c (*.f64 (/.f64 (/.f64 #s(literal -3/8 binary64) b) b) a)) c #s(literal -1/2 binary64)) c)) b))
(/.f64 #s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b)
(/.f64 #s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 a a) (fma.f64 c (*.f64 (/.f64 #s(literal -135/128 binary64) (pow.f64 b #s(literal 6 binary64))) a) (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 4 binary64))))) c (*.f64 (/.f64 (/.f64 #s(literal -3/8 binary64) b) b) a)) c #s(literal -1/2 binary64)) c)) b)
#s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c))
#s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 a a) (fma.f64 c (*.f64 (/.f64 #s(literal -135/128 binary64) (pow.f64 b #s(literal 6 binary64))) a) (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 4 binary64))))) c (*.f64 (/.f64 (/.f64 #s(literal -3/8 binary64) b) b) a)) c #s(literal -1/2 binary64)) c))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)
(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 a a) (fma.f64 c (*.f64 (/.f64 #s(literal -135/128 binary64) (pow.f64 b #s(literal 6 binary64))) a) (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 4 binary64))))) c (*.f64 (/.f64 (/.f64 #s(literal -3/8 binary64) b) b) a)) c #s(literal -1/2 binary64)) c)
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64))
(fma.f64 (fma.f64 (*.f64 (*.f64 a a) (fma.f64 c (*.f64 (/.f64 #s(literal -135/128 binary64) (pow.f64 b #s(literal 6 binary64))) a) (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 4 binary64))))) c (*.f64 (/.f64 (/.f64 #s(literal -3/8 binary64) b) b) a)) c #s(literal -1/2 binary64))
(fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64)))
(fma.f64 (*.f64 (*.f64 a a) (fma.f64 c (*.f64 (/.f64 #s(literal -135/128 binary64) (pow.f64 b #s(literal 6 binary64))) a) (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 4 binary64))))) c (*.f64 (/.f64 (/.f64 #s(literal -3/8 binary64) b) b) a))
(fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 6 binary64))))
(*.f64 (*.f64 a a) (fma.f64 c (*.f64 (/.f64 #s(literal -135/128 binary64) (pow.f64 b #s(literal 6 binary64))) a) (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 4 binary64)))))
(/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64)))
(*.f64 (/.f64 a (pow.f64 b #s(literal 4 binary64))) a)
(*.f64 a a)
a
(pow.f64 b #s(literal 4 binary64))
b
#s(literal 4 binary64)
#s(literal -9/16 binary64)
(/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 6 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal -135/128 binary64) (pow.f64 b #s(literal 6 binary64))) c) (pow.f64 a #s(literal 3 binary64)))
(*.f64 #s(literal -135/128 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))
(*.f64 (*.f64 c (pow.f64 a #s(literal 3 binary64))) #s(literal -135/128 binary64))
#s(literal -135/128 binary64)
(*.f64 (pow.f64 a #s(literal 3 binary64)) c)
(*.f64 c (pow.f64 a #s(literal 3 binary64)))
(pow.f64 a #s(literal 3 binary64))
#s(literal 3 binary64)
c
(pow.f64 b #s(literal 6 binary64))
#s(literal 6 binary64)
(*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))
(*.f64 (/.f64 (/.f64 #s(literal -3/8 binary64) b) b) a)
(/.f64 a (*.f64 b b))
(/.f64 (/.f64 a b) b)
(*.f64 b b)
#s(literal -3/8 binary64)
#s(literal -1/2 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal -1/2 binary64) b) c))
(*.f64 c (/.f64 #s(literal -1/2 binary64) b))
(*.f64 (/.f64 #s(literal -1/2 binary64) b) c)
c
(/.f64 #s(literal -1/2 binary64) b)
#s(literal -1/2 binary64)
b
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64)) c)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (/.f64 (/.f64 #s(literal -3/8 binary64) b) b) (*.f64 c a) #s(literal -1/2 binary64)) c)) b))
(/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64)) c)) b)
(/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (/.f64 (/.f64 #s(literal -3/8 binary64) b) b) (*.f64 c a) #s(literal -1/2 binary64)) c)) b)
#s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64)) c))
#s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (/.f64 (/.f64 #s(literal -3/8 binary64) b) b) (*.f64 c a) #s(literal -1/2 binary64)) c))
(*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64)) c)
(*.f64 (fma.f64 (/.f64 (/.f64 #s(literal -3/8 binary64) b) b) (*.f64 c a) #s(literal -1/2 binary64)) c)
(fma.f64 (/.f64 #s(literal -3/8 binary64) b) (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64))
(fma.f64 (/.f64 (/.f64 #s(literal -3/8 binary64) b) b) (*.f64 c a) #s(literal -1/2 binary64))
(/.f64 #s(literal -3/8 binary64) b)
#s(literal -3/8 binary64)
b
(*.f64 a (/.f64 c b))
(*.f64 (/.f64 c b) a)
a
(/.f64 c b)
c
#s(literal -1/2 binary64)
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (/.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 (*.f64 c c) a) b) (*.f64 #s(literal -3/2 binary64) c)) b)) #s(literal 3 binary64))
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (*.f64 c (/.f64 (fma.f64 (*.f64 (/.f64 #s(literal -9/8 binary64) b) c) (/.f64 a b) #s(literal -3/2 binary64)) b))) #s(literal 3 binary64))
#s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (/.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 (*.f64 c c) a) b) (*.f64 #s(literal -3/2 binary64) c)) b))
#s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (*.f64 c (/.f64 (fma.f64 (*.f64 (/.f64 #s(literal -9/8 binary64) b) c) (/.f64 a b) #s(literal -3/2 binary64)) b)))
(/.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 (*.f64 c c) a) b) (*.f64 #s(literal -3/2 binary64) c)) b)
(*.f64 c (/.f64 (fma.f64 (*.f64 (/.f64 #s(literal -9/8 binary64) b) c) (/.f64 a b) #s(literal -3/2 binary64)) b))
(fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 (*.f64 c c) a) b) (*.f64 #s(literal -3/2 binary64) c))
(*.f64 c (fma.f64 (*.f64 (/.f64 #s(literal -9/8 binary64) b) c) (/.f64 a b) #s(literal -3/2 binary64)))
(/.f64 #s(literal -9/8 binary64) b)
#s(literal -9/8 binary64)
b
(/.f64 (*.f64 (*.f64 c c) a) b)
(*.f64 (*.f64 (/.f64 c b) a) c)
(*.f64 (*.f64 c c) a)
(*.f64 c c)
c
a
(*.f64 #s(literal -3/2 binary64) c)
#s(literal -3/2 binary64)
#s(literal 3 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (/.f64 a b) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 4 binary64)))) c #s(literal -1/2 binary64)) c)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (*.f64 a (fma.f64 (*.f64 (/.f64 a (pow.f64 b #s(literal 4 binary64))) c) #s(literal -9/16 binary64) (/.f64 (/.f64 #s(literal -3/8 binary64) b) b))) c #s(literal -1/2 binary64)) c)) b))
(/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (/.f64 a b) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 4 binary64)))) c #s(literal -1/2 binary64)) c)) b)
(/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (*.f64 a (fma.f64 (*.f64 (/.f64 a (pow.f64 b #s(literal 4 binary64))) c) #s(literal -9/16 binary64) (/.f64 (/.f64 #s(literal -3/8 binary64) b) b))) c #s(literal -1/2 binary64)) c)) b)
#s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (/.f64 a b) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 4 binary64)))) c #s(literal -1/2 binary64)) c))
#s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (*.f64 a (fma.f64 (*.f64 (/.f64 a (pow.f64 b #s(literal 4 binary64))) c) #s(literal -9/16 binary64) (/.f64 (/.f64 #s(literal -3/8 binary64) b) b))) c #s(literal -1/2 binary64)) c))
(*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (/.f64 a b) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 4 binary64)))) c #s(literal -1/2 binary64)) c)
(*.f64 (fma.f64 (*.f64 a (fma.f64 (*.f64 (/.f64 a (pow.f64 b #s(literal 4 binary64))) c) #s(literal -9/16 binary64) (/.f64 (/.f64 #s(literal -3/8 binary64) b) b))) c #s(literal -1/2 binary64)) c)
(fma.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (/.f64 a b) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 4 binary64)))) c #s(literal -1/2 binary64))
(fma.f64 (*.f64 a (fma.f64 (*.f64 (/.f64 a (pow.f64 b #s(literal 4 binary64))) c) #s(literal -9/16 binary64) (/.f64 (/.f64 #s(literal -3/8 binary64) b) b))) c #s(literal -1/2 binary64))
(fma.f64 (/.f64 #s(literal -3/8 binary64) b) (/.f64 a b) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 4 binary64))))
(*.f64 a (fma.f64 (*.f64 (/.f64 a (pow.f64 b #s(literal 4 binary64))) c) #s(literal -9/16 binary64) (/.f64 (/.f64 #s(literal -3/8 binary64) b) b)))
(/.f64 #s(literal -3/8 binary64) b)
#s(literal -3/8 binary64)
b
(/.f64 a b)
a
(/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 4 binary64)))
(*.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64)) (*.f64 a a))
(*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c))
(*.f64 (*.f64 c (*.f64 a a)) #s(literal -9/16 binary64))
#s(literal -9/16 binary64)
(*.f64 (*.f64 a a) c)
(*.f64 c (*.f64 a a))
(*.f64 a a)
c
(pow.f64 b #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal -1/2 binary64)

localize354.0ms (4%)

Memory
116.7MiB live, 116.7MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.29296875
(*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c))
accuracy0.328125
(/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 4 binary64)))
accuracy0.3515625
(fma.f64 (/.f64 #s(literal -3/8 binary64) b) (/.f64 a b) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 4 binary64))))
accuracy1.4710089919903628
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (/.f64 a b) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 4 binary64)))) c #s(literal -1/2 binary64)) c)) b))
accuracy0.26171875
(*.f64 (*.f64 c c) a)
accuracy0.29296875
(/.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 (*.f64 c c) a) b) (*.f64 #s(literal -3/2 binary64) c)) b)
accuracy0.328125
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (/.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 (*.f64 c c) a) b) (*.f64 #s(literal -3/2 binary64) c)) b)) #s(literal 3 binary64))
accuracy2.5200442309928532
#s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (/.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 (*.f64 c c) a) b) (*.f64 #s(literal -3/2 binary64) c)) b))
accuracy0.08984375
(*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64)) c)
accuracy0.3359375
(*.f64 a (/.f64 c b))
accuracy1.4710089919903628
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64)) c)) b))
accuracy2.5005303143594095
#s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64)) c))
accuracy0
(/.f64 #s(literal -1/2 binary64) b)
accuracy0.28125
(*.f64 c (/.f64 #s(literal -1/2 binary64) b))
accuracy6.4383547614343515
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b)))
accuracy0.3203125
(*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))
accuracy0.328788769536884
(/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 6 binary64)))
accuracy0.3359375
(/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64)))
accuracy1.039191875626255
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b))
Samples
239.0ms202×1valid
37.0ms54×0valid
Compiler

Compiled 1 391 to 160 computations (88.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 217.0ms
ival-mult: 74.0ms (34.1% of total)
ival-div: 49.0ms (22.6% of total)
ival-add: 29.0ms (13.4% of total)
adjust: 27.0ms (12.5% of total)
ival-pow: 17.0ms (7.8% of total)
ival-sqrt: 7.0ms (3.2% of total)
ival-sub: 5.0ms (2.3% of total)
const: 4.0ms (1.8% of total)
exact: 2.0ms (0.9% of total)
ival-neg: 2.0ms (0.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series127.0ms (1.5%)

Memory
53.4MiB live, 53.4MiB allocated
Counts
26 → 852
Calls
Call 1
Inputs
#s(alt (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 6 binary64)))) (patch (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 6 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b) (patch (/.f64 #s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) (patch #s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) #<representation binary64>) () ())
#s(alt (*.f64 c (/.f64 #s(literal -1/2 binary64) b)) (patch (*.f64 c (/.f64 #s(literal -1/2 binary64) b)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1/2 binary64) b) (patch (/.f64 #s(literal -1/2 binary64) b) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64)) c)) b)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64)) c)) b)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64)) c)) b) (patch (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64)) c)) b) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64)) c)) (patch #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64)) c)) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64)) c) (patch (*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64)) c) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 (*.f64 c c) a) b) (*.f64 #s(literal -3/2 binary64) c)) (patch (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 (*.f64 c c) a) b) (*.f64 #s(literal -3/2 binary64) c)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (/.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 (*.f64 c c) a) b) (*.f64 #s(literal -3/2 binary64) c)) b)) #s(literal 3 binary64)) (patch (/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (/.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 (*.f64 c c) a) b) (*.f64 #s(literal -3/2 binary64) c)) b)) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (/.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 (*.f64 c c) a) b) (*.f64 #s(literal -3/2 binary64) c)) b)) (patch #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (/.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 (*.f64 c c) a) b) (*.f64 #s(literal -3/2 binary64) c)) b)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 (*.f64 c c) a) b) (*.f64 #s(literal -3/2 binary64) c)) b) (patch (/.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 (*.f64 c c) a) b) (*.f64 #s(literal -3/2 binary64) c)) b) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (/.f64 a b) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 4 binary64)))) (patch (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (/.f64 a b) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 4 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (/.f64 a b) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 4 binary64)))) c #s(literal -1/2 binary64)) c)) b)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (/.f64 a b) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 4 binary64)))) c #s(literal -1/2 binary64)) c)) b)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (/.f64 a b) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 4 binary64)))) c #s(literal -1/2 binary64)) c)) b) (patch (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (/.f64 a b) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 4 binary64)))) c #s(literal -1/2 binary64)) c)) b) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (/.f64 a b) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 4 binary64)))) c #s(literal -1/2 binary64)) c)) (patch #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (/.f64 a b) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 4 binary64)))) c #s(literal -1/2 binary64)) c)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) (patch (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 6 binary64))) (patch (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 6 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64)) (patch (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 a (/.f64 c b)) (patch (*.f64 a (/.f64 c b)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 c c) a) (patch (*.f64 (*.f64 c c) a) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 4 binary64))) (patch (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 4 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (patch (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) #<representation binary64>) () ())
Outputs
#s(alt (* -9/16 (/ (pow a 2) (pow b 4))) (taylor 0 c) (#s(alt (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 6 binary64)))) (patch (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -135/128 (/ (* (pow a 3) c) (pow b 6))) (* -9/16 (/ (pow a 2) (pow b 4)))) (taylor 0 c) (#s(alt (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 6 binary64)))) (patch (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -135/128 (/ (* (pow a 3) c) (pow b 6))) (* -9/16 (/ (pow a 2) (pow b 4)))) (taylor 0 c) (#s(alt (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 6 binary64)))) (patch (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -135/128 (/ (* (pow a 3) c) (pow b 6))) (* -9/16 (/ (pow a 2) (pow b 4)))) (taylor 0 c) (#s(alt (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 6 binary64)))) (patch (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 6 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (* -9/16 (/ (* (pow a 2) c) (pow b 4))) (taylor -inf a) (#s(alt (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 4 binary64))) (patch (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -9/16 (/ (* (pow a 2) c) (pow b 4))) (taylor -inf a) (#s(alt (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 4 binary64))) (patch (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -9/16 (* (pow a 2) c)) (taylor -inf a) (#s(alt (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (patch (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) #<representation binary64>) () ())) ())
#s(alt (* -9/16 (* (pow a 2) c)) (taylor -inf a) (#s(alt (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (patch (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) #<representation binary64>) () ())) ())
#s(alt (* -9/16 (* (pow a 2) c)) (taylor -inf a) (#s(alt (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (patch (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) #<representation binary64>) () ())) ())
#s(alt (* -9/16 (* (pow a 2) c)) (taylor -inf a) (#s(alt (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (patch (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
18.0ms
a
@-inf
((+ (* (/ (* a a) (pow b 4)) -9/16) (/ (* -135/128 (* (pow a 3) c)) (pow b 6))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) b) (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* c (/ -1/2 b)) (/ -1/2 b) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) b) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (* (+ (* (/ -3/8 b) (* a (/ c b))) -1/2) c) (+ (* (/ -9/8 b) (/ (* (* c c) a) b)) (* -3/2 c)) (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (/ (+ (* (/ -9/8 b) (/ (* (* c c) a) b)) (* -3/2 c)) b) (+ (* (/ -3/8 b) (/ a b)) (/ (* -9/16 (* (* a a) c)) (pow b 4))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) b) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (/ (* a a) (pow b 4)) (/ (* -135/128 (* (pow a 3) c)) (pow b 6)) (* (/ a (* b b)) -3/8) (* a (/ c b)) (* (* c c) a) (/ (* -9/16 (* (* a a) c)) (pow b 4)) (* -9/16 (* (* a a) c)))
7.0ms
b
@0
((+ (* (/ (* a a) (pow b 4)) -9/16) (/ (* -135/128 (* (pow a 3) c)) (pow b 6))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) b) (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* c (/ -1/2 b)) (/ -1/2 b) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) b) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (* (+ (* (/ -3/8 b) (* a (/ c b))) -1/2) c) (+ (* (/ -9/8 b) (/ (* (* c c) a) b)) (* -3/2 c)) (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (/ (+ (* (/ -9/8 b) (/ (* (* c c) a) b)) (* -3/2 c)) b) (+ (* (/ -3/8 b) (/ a b)) (/ (* -9/16 (* (* a a) c)) (pow b 4))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) b) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (/ (* a a) (pow b 4)) (/ (* -135/128 (* (pow a 3) c)) (pow b 6)) (* (/ a (* b b)) -3/8) (* a (/ c b)) (* (* c c) a) (/ (* -9/16 (* (* a a) c)) (pow b 4)) (* -9/16 (* (* a a) c)))
7.0ms
a
@inf
((+ (* (/ (* a a) (pow b 4)) -9/16) (/ (* -135/128 (* (pow a 3) c)) (pow b 6))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) b) (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* c (/ -1/2 b)) (/ -1/2 b) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) b) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (* (+ (* (/ -3/8 b) (* a (/ c b))) -1/2) c) (+ (* (/ -9/8 b) (/ (* (* c c) a) b)) (* -3/2 c)) (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (/ (+ (* (/ -9/8 b) (/ (* (* c c) a) b)) (* -3/2 c)) b) (+ (* (/ -3/8 b) (/ a b)) (/ (* -9/16 (* (* a a) c)) (pow b 4))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) b) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (/ (* a a) (pow b 4)) (/ (* -135/128 (* (pow a 3) c)) (pow b 6)) (* (/ a (* b b)) -3/8) (* a (/ c b)) (* (* c c) a) (/ (* -9/16 (* (* a a) c)) (pow b 4)) (* -9/16 (* (* a a) c)))
7.0ms
a
@0
((+ (* (/ (* a a) (pow b 4)) -9/16) (/ (* -135/128 (* (pow a 3) c)) (pow b 6))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) b) (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* c (/ -1/2 b)) (/ -1/2 b) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) b) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (* (+ (* (/ -3/8 b) (* a (/ c b))) -1/2) c) (+ (* (/ -9/8 b) (/ (* (* c c) a) b)) (* -3/2 c)) (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (/ (+ (* (/ -9/8 b) (/ (* (* c c) a) b)) (* -3/2 c)) b) (+ (* (/ -3/8 b) (/ a b)) (/ (* -9/16 (* (* a a) c)) (pow b 4))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) b) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (/ (* a a) (pow b 4)) (/ (* -135/128 (* (pow a 3) c)) (pow b 6)) (* (/ a (* b b)) -3/8) (* a (/ c b)) (* (* c c) a) (/ (* -9/16 (* (* a a) c)) (pow b 4)) (* -9/16 (* (* a a) c)))
7.0ms
c
@-inf
((+ (* (/ (* a a) (pow b 4)) -9/16) (/ (* -135/128 (* (pow a 3) c)) (pow b 6))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) b) (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* c (/ -1/2 b)) (/ -1/2 b) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) b) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (* (+ (* (/ -3/8 b) (* a (/ c b))) -1/2) c) (+ (* (/ -9/8 b) (/ (* (* c c) a) b)) (* -3/2 c)) (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (/ (+ (* (/ -9/8 b) (/ (* (* c c) a) b)) (* -3/2 c)) b) (+ (* (/ -3/8 b) (/ a b)) (/ (* -9/16 (* (* a a) c)) (pow b 4))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) b) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (/ (* a a) (pow b 4)) (/ (* -135/128 (* (pow a 3) c)) (pow b 6)) (* (/ a (* b b)) -3/8) (* a (/ c b)) (* (* c c) a) (/ (* -9/16 (* (* a a) c)) (pow b 4)) (* -9/16 (* (* a a) c)))

simplify202.0ms (2.3%)

Memory
72.5MiB live, 72.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
081715787
1253815620
0858914950
Stop Event
iter limit
node limit
Counts
852 → 852
Calls
Call 1
Inputs
(* -9/16 (/ (pow a 2) (pow b 4)))
(+ (* -135/128 (/ (* (pow a 3) c) (pow b 6))) (* -9/16 (/ (pow a 2) (pow b 4))))
(+ (* -135/128 (/ (* (pow a 3) c) (pow b 6))) (* -9/16 (/ (pow a 2) (pow b 4))))
(+ (* -135/128 (/ (* (pow a 3) c) (pow b 6))) (* -9/16 (/ (pow a 2) (pow b 4))))
(* -1/2 (/ c b))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))
(* -1/2 (/ c b))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -135/128 (/ (* (pow a 3) c) (pow b 7))) (* -9/16 (/ (pow a 2) (pow b 5))))))) (* 1/2 (/ 1 b))))
(* -1/2 c)
(* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 4))) (* -3/8 (/ a (pow b 2))))) 1/2))
(* c (- (* c (+ (* -3/8 (/ a (pow b 2))) (* c (+ (* -135/128 (/ (* (pow a 3) c) (pow b 6))) (* -9/16 (/ (pow a 2) (pow b 4))))))) 1/2))
(* -1/2 (/ c b))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))
(* -1/2 (/ c b))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(* -1/2 c)
(* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 4))) (* -3/8 (/ a (pow b 2))))) 1/2))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 4))) (* -3/8 (/ a (pow b 2))))) 1/2))
(* -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))
(* -3/2 c)
(* c (- (* -9/8 (/ (* a c) (pow b 2))) 3/2))
(* c (- (* -9/8 (/ (* a c) (pow b 2))) 3/2))
(* c (- (* -9/8 (/ (* a c) (pow b 2))) 3/2))
(* -1/2 (/ c b))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))
(* -3/2 (/ c b))
(* c (- (* -9/8 (/ (* a c) (pow b 3))) (* 3/2 (/ 1 b))))
(* c (- (* c (+ (* -27/16 (/ (* (pow a 2) c) (pow b 5))) (* -9/8 (/ a (pow b 3))))) (* 3/2 (/ 1 b))))
(* c (- (* c (+ (* -9/8 (/ a (pow b 3))) (* c (+ (* -27/16 (/ (pow a 2) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 3/2 (/ 1 b))))
(* -3/2 (/ c b))
(* c (- (* -9/8 (/ (* a c) (pow b 3))) (* 3/2 (/ 1 b))))
(* c (- (* -9/8 (/ (* a c) (pow b 3))) (* 3/2 (/ 1 b))))
(* c (- (* -9/8 (/ (* a c) (pow b 3))) (* 3/2 (/ 1 b))))
(* -3/8 (/ a (pow b 2)))
(+ (* -9/16 (/ (* (pow a 2) c) (pow b 4))) (* -3/8 (/ a (pow b 2))))
(+ (* -9/16 (/ (* (pow a 2) c) (pow b 4))) (* -3/8 (/ a (pow b 2))))
(+ (* -9/16 (/ (* (pow a 2) c) (pow b 4))) (* -3/8 (/ a (pow b 2))))
(* -1/2 (/ c b))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))
(* -1/2 (/ c b))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(* -1/2 c)
(* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 4))) (* -3/8 (/ a (pow b 2))))) 1/2))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 4))) (* -3/8 (/ a (pow b 2))))) 1/2))
(* -135/128 (/ (* (pow a 3) c) (pow b 6)))
(* -135/128 (/ (* (pow a 3) c) (pow b 6)))
(* -135/128 (/ (* (pow a 3) c) (pow b 6)))
(* -135/128 (/ (* (pow a 3) c) (pow b 6)))
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* -9/16 (/ (* (pow a 2) c) (pow b 4)))
(* -9/16 (/ (* (pow a 2) c) (pow b 4)))
(* -9/16 (/ (* (pow a 2) c) (pow b 4)))
(* -9/16 (/ (* (pow a 2) c) (pow b 4)))
(* -9/16 (* (pow a 2) c))
(* -9/16 (* (pow a 2) c))
(* -9/16 (* (pow a 2) c))
(* -9/16 (* (pow a 2) c))
(* -135/128 (/ (* (pow a 3) c) (pow b 6)))
(* c (+ (* -135/128 (/ (pow a 3) (pow b 6))) (* -9/16 (/ (pow a 2) (* (pow b 4) c)))))
(* c (+ (* -135/128 (/ (pow a 3) (pow b 6))) (* -9/16 (/ (pow a 2) (* (pow b 4) c)))))
(* c (+ (* -135/128 (/ (pow a 3) (pow b 6))) (* -9/16 (/ (pow a 2) (* (pow b 4) c)))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 7)))
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 7))) (* -9/16 (/ (pow a 2) (* (pow b 5) c)))))
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 7))) (+ (* -9/16 (/ (pow a 2) (* (pow b 5) c))) (* -3/8 (/ a (* (pow b 3) (pow c 2)))))))
(* (pow c 4) (- (+ (* -135/128 (/ (pow a 3) (pow b 7))) (+ (* -9/16 (/ (pow a 2) (* (pow b 5) c))) (* -3/8 (/ a (* (pow b 3) (pow c 2)))))) (* 1/2 (/ 1 (* b (pow c 3))))))
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6)))
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 6))) (* -9/16 (/ (pow a 2) (* (pow b 4) c)))))
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 6))) (+ (* -9/16 (/ (pow a 2) (* (pow b 4) c))) (* -3/8 (/ a (* (pow b 2) (pow c 2)))))))
(* (pow c 4) (- (+ (* -135/128 (/ (pow a 3) (pow b 6))) (+ (* -9/16 (/ (pow a 2) (* (pow b 4) c))) (* -3/8 (/ a (* (pow b 2) (pow c 2)))))) (* 1/2 (/ 1 (pow c 3)))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 5)))
(* (pow c 3) (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c)))))
(* (pow c 3) (- (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c)))) (/ 1/2 (* b (pow c 2)))))
(* (pow c 3) (- (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c)))) (/ 1/2 (* b (pow c 2)))))
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(* (pow c 3) (+ (* -9/16 (/ (pow a 2) (pow b 4))) (* -3/8 (/ a (* (pow b 2) c)))))
(* (pow c 3) (- (+ (* -9/16 (/ (pow a 2) (pow b 4))) (* -3/8 (/ a (* (pow b 2) c)))) (/ 1/2 (pow c 2))))
(* (pow c 3) (- (+ (* -9/16 (/ (pow a 2) (pow b 4))) (* -3/8 (/ a (* (pow b 2) c)))) (/ 1/2 (pow c 2))))
(* -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))))
(* -9/8 (/ (* a (pow c 2)) (pow b 2)))
(* (pow c 2) (- (* -9/8 (/ a (pow b 2))) (* 3/2 (/ 1 c))))
(* (pow c 2) (- (* -9/8 (/ a (pow b 2))) (* 3/2 (/ 1 c))))
(* (pow c 2) (- (* -9/8 (/ a (pow b 2))) (* 3/2 (/ 1 c))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))
(* (sqrt (/ c a)) (sqrt -3))
(* c (+ (* -1 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -3))))
(* c (+ (* -1 (/ b (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ 1 (* a c))) (sqrt -3)))))
(* c (+ (* -1 (/ b (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ 1 (* a c))) (sqrt -3))))))
(* -9/8 (/ (* a (pow c 2)) (pow b 3)))
(* (pow c 2) (- (* -9/8 (/ a (pow b 3))) (* 3/2 (/ 1 (* b c)))))
(* (pow c 2) (- (* -9/8 (/ a (pow b 3))) (* 3/2 (/ 1 (* b c)))))
(* (pow c 2) (- (* -9/8 (/ a (pow b 3))) (* 3/2 (/ 1 (* b c)))))
(* -9/16 (/ (* (pow a 2) c) (pow b 4)))
(* c (+ (* -9/16 (/ (pow a 2) (pow b 4))) (* -3/8 (/ a (* (pow b 2) c)))))
(* c (+ (* -9/16 (/ (pow a 2) (pow b 4))) (* -3/8 (/ a (* (pow b 2) c)))))
(* c (+ (* -9/16 (/ (pow a 2) (pow b 4))) (* -3/8 (/ a (* (pow b 2) c)))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 5)))
(* (pow c 3) (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c)))))
(* (pow c 3) (- (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c)))) (/ 1/2 (* b (pow c 2)))))
(* (pow c 3) (- (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c)))) (/ 1/2 (* b (pow c 2)))))
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(* (pow c 3) (+ (* -9/16 (/ (pow a 2) (pow b 4))) (* -3/8 (/ a (* (pow b 2) c)))))
(* (pow c 3) (- (+ (* -9/16 (/ (pow a 2) (pow b 4))) (* -3/8 (/ a (* (pow b 2) c)))) (/ 1/2 (pow c 2))))
(* (pow c 3) (- (+ (* -9/16 (/ (pow a 2) (pow b 4))) (* -3/8 (/ a (* (pow b 2) c)))) (/ 1/2 (pow c 2))))
(* -135/128 (/ (* (pow a 3) c) (pow b 6)))
(* -135/128 (/ (* (pow a 3) c) (pow b 6)))
(* -135/128 (/ (* (pow a 3) c) (pow b 6)))
(* -135/128 (/ (* (pow a 3) c) (pow b 6)))
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* -9/16 (/ (* (pow a 2) c) (pow b 4)))
(* -9/16 (/ (* (pow a 2) c) (pow b 4)))
(* -9/16 (/ (* (pow a 2) c) (pow b 4)))
(* -9/16 (/ (* (pow a 2) c) (pow b 4)))
(* -9/16 (* (pow a 2) c))
(* -9/16 (* (pow a 2) c))
(* -9/16 (* (pow a 2) c))
(* -9/16 (* (pow a 2) c))
(* -135/128 (/ (* (pow a 3) c) (pow b 6)))
(* -1 (* c (+ (* 9/16 (/ (pow a 2) (* (pow b 4) c))) (* 135/128 (/ (pow a 3) (pow b 6))))))
(* -1 (* c (+ (* 9/16 (/ (pow a 2) (* (pow b 4) c))) (* 135/128 (/ (pow a 3) (pow b 6))))))
(* -1 (* c (+ (* 9/16 (/ (pow a 2) (* (pow b 4) c))) (* 135/128 (/ (pow a 3) (pow b 6))))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 7)))
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 7))) (* -9/16 (/ (pow a 2) (* (pow b 5) c)))))
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 7))) (* -1 (/ (+ (* 3/8 (/ a (* (pow b 3) c))) (* 9/16 (/ (pow a 2) (pow b 5)))) c))))
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 7))) (* -1 (/ (+ (* -1 (/ (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))) c)) (* 9/16 (/ (pow a 2) (pow b 5)))) c))))
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6)))
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 6))) (* -9/16 (/ (pow a 2) (* (pow b 4) c)))))
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 6))) (* -1 (/ (+ (* 3/8 (/ a (* (pow b 2) c))) (* 9/16 (/ (pow a 2) (pow b 4)))) c))))
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 6))) (* -1 (/ (+ (* -1 (/ (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c))) c)) (* 9/16 (/ (pow a 2) (pow b 4)))) c))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 5)))
(* -1 (* (pow c 3) (+ (* 3/8 (/ a (* (pow b 3) c))) (* 9/16 (/ (pow a 2) (pow b 5))))))
(* -1 (* (pow c 3) (+ (* -1 (/ (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))) c)) (* 9/16 (/ (pow a 2) (pow b 5))))))
(* -1 (* (pow c 3) (+ (* -1 (/ (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))) c)) (* 9/16 (/ (pow a 2) (pow b 5))))))
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(* -1 (* (pow c 3) (+ (* 3/8 (/ a (* (pow b 2) c))) (* 9/16 (/ (pow a 2) (pow b 4))))))
(* -1 (* (pow c 3) (+ (* -1 (/ (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c))) c)) (* 9/16 (/ (pow a 2) (pow b 4))))))
(* -1 (* (pow c 3) (+ (* -1 (/ (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c))) c)) (* 9/16 (/ (pow a 2) (pow b 4))))))
(* -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))))
(* -9/8 (/ (* a (pow c 2)) (pow b 2)))
(* (pow c 2) (- (* -9/8 (/ a (pow b 2))) (* 3/2 (/ 1 c))))
(* (pow c 2) (- (* -9/8 (/ a (pow b 2))) (* 3/2 (/ 1 c))))
(* (pow c 2) (- (* -9/8 (/ a (pow b 2))) (* 3/2 (/ 1 c))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))) (/ b (* a c)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c))) c)) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))
(* -9/8 (/ (* a (pow c 2)) (pow b 3)))
(* (pow c 2) (- (* -9/8 (/ a (pow b 3))) (* 3/2 (/ 1 (* b c)))))
(* (pow c 2) (- (* -9/8 (/ a (pow b 3))) (* 3/2 (/ 1 (* b c)))))
(* (pow c 2) (- (* -9/8 (/ a (pow b 3))) (* 3/2 (/ 1 (* b c)))))
(* -9/16 (/ (* (pow a 2) c) (pow b 4)))
(* -1 (* c (+ (* 3/8 (/ a (* (pow b 2) c))) (* 9/16 (/ (pow a 2) (pow b 4))))))
(* -1 (* c (+ (* 3/8 (/ a (* (pow b 2) c))) (* 9/16 (/ (pow a 2) (pow b 4))))))
(* -1 (* c (+ (* 3/8 (/ a (* (pow b 2) c))) (* 9/16 (/ (pow a 2) (pow b 4))))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 5)))
(* -1 (* (pow c 3) (+ (* 3/8 (/ a (* (pow b 3) c))) (* 9/16 (/ (pow a 2) (pow b 5))))))
(* -1 (* (pow c 3) (+ (* -1 (/ (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))) c)) (* 9/16 (/ (pow a 2) (pow b 5))))))
(* -1 (* (pow c 3) (+ (* -1 (/ (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))) c)) (* 9/16 (/ (pow a 2) (pow b 5))))))
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(* -1 (* (pow c 3) (+ (* 3/8 (/ a (* (pow b 2) c))) (* 9/16 (/ (pow a 2) (pow b 4))))))
(* -1 (* (pow c 3) (+ (* -1 (/ (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c))) c)) (* 9/16 (/ (pow a 2) (pow b 4))))))
(* -1 (* (pow c 3) (+ (* -1 (/ (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c))) c)) (* 9/16 (/ (pow a 2) (pow b 4))))))
(* -135/128 (/ (* (pow a 3) c) (pow b 6)))
(* -135/128 (/ (* (pow a 3) c) (pow b 6)))
(* -135/128 (/ (* (pow a 3) c) (pow b 6)))
(* -135/128 (/ (* (pow a 3) c) (pow b 6)))
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* -9/16 (/ (* (pow a 2) c) (pow b 4)))
(* -9/16 (/ (* (pow a 2) c) (pow b 4)))
(* -9/16 (/ (* (pow a 2) c) (pow b 4)))
(* -9/16 (/ (* (pow a 2) c) (pow b 4)))
(* -9/16 (* (pow a 2) c))
(* -9/16 (* (pow a 2) c))
(* -9/16 (* (pow a 2) c))
(* -9/16 (* (pow a 2) c))
(* -135/128 (/ (* (pow a 3) c) (pow b 6)))
(/ (+ (* -135/128 (* (pow a 3) c)) (* -9/16 (* (pow a 2) (pow b 2)))) (pow b 6))
(/ (+ (* -135/128 (* (pow a 3) c)) (* -9/16 (* (pow a 2) (pow b 2)))) (pow b 6))
(/ (+ (* -135/128 (* (pow a 3) c)) (* -9/16 (* (pow a 2) (pow b 2)))) (pow b 6))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a)))))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a)))))
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 7)))
(/ (+ (* -135/128 (* (pow a 3) (pow c 4))) (* -9/16 (* (pow a 2) (* (pow b 2) (pow c 3))))) (pow b 7))
(/ (+ (* -135/128 (* (pow a 3) (pow c 4))) (* (pow b 2) (+ (* -9/16 (* (pow a 2) (pow c 3))) (* -3/8 (* a (* (pow b 2) (pow c 2))))))) (pow b 7))
(/ (+ (* -135/128 (* (pow a 3) (pow c 4))) (* (pow b 2) (+ (* -9/16 (* (pow a 2) (pow c 3))) (* (pow b 2) (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))))))) (pow b 7))
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6)))
(/ (+ (* -135/128 (* (pow a 3) (pow c 4))) (* -9/16 (* (pow a 2) (* (pow b 2) (pow c 3))))) (pow b 6))
(/ (+ (* -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 6))
(/ (+ (* -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 6))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a)))))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a)))))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(/ -1/2 b)
(/ -1/2 b)
(/ -1/2 b)
(/ -1/2 b)
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a)))))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a)))))
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 5)))
(/ (+ (* -9/16 (* (pow a 2) (pow c 3))) (* -3/8 (* a (* (pow b 2) (pow c 2))))) (pow b 5))
(/ (+ (* -9/16 (* (pow a 2) (pow c 3))) (* (pow b 2) (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))))) (pow b 5))
(/ (+ (* -9/16 (* (pow a 2) (pow c 3))) (* (pow b 2) (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))))) (pow b 5))
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
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(+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (+ b (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)))
(+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (+ b (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a))) a)))
(* -9/8 (/ (* a (pow c 2)) (pow b 3)))
(* -1 (* a (+ (* 9/8 (/ (pow c 2) (pow b 3))) (* 3/2 (/ c (* a b))))))
(* -1 (* a (+ (* 9/8 (/ (pow c 2) (pow b 3))) (* 3/2 (/ c (* a b))))))
(* -1 (* a (+ (* 9/8 (/ (pow c 2) (pow b 3))) (* 3/2 (/ c (* a b))))))
(* -9/16 (/ (* (pow a 2) c) (pow b 4)))
(* (pow a 2) (- (* -9/16 (/ c (pow b 4))) (* 3/8 (/ 1 (* a (pow b 2))))))
(* (pow a 2) (- (* -9/16 (/ c (pow b 4))) (* 3/8 (/ 1 (* a (pow b 2))))))
(* (pow a 2) (- (* -9/16 (/ c (pow b 4))) (* 3/8 (/ 1 (* a (pow b 2))))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 5)))
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -3/8 (/ (pow c 2) (* a (pow b 3))))))
(* (pow a 2) (+ (* -1 (/ (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))) a)) (* -9/16 (/ (pow c 3) (pow b 5)))))
(* (pow a 2) (+ (* -1 (/ (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))) a)) (* -9/16 (/ (pow c 3) (pow b 5)))))
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 4))) (* -3/8 (/ (pow c 2) (* a (pow b 2))))))
(* (pow a 2) (+ (* -1 (/ (+ (* 3/8 (/ (pow c 2) (pow b 2))) (* 1/2 (/ c a))) a)) (* -9/16 (/ (pow c 3) (pow b 4)))))
(* (pow a 2) (+ (* -1 (/ (+ (* 3/8 (/ (pow c 2) (pow b 2))) (* 1/2 (/ c a))) a)) (* -9/16 (/ (pow c 3) (pow b 4)))))
(/ (pow a 2) (pow b 4))
(/ (pow a 2) (pow b 4))
(/ (pow a 2) (pow b 4))
(/ (pow a 2) (pow b 4))
(* -135/128 (/ (* (pow a 3) c) (pow b 6)))
(* -135/128 (/ (* (pow a 3) c) (pow b 6)))
(* -135/128 (/ (* (pow a 3) c) (pow b 6)))
(* -135/128 (/ (* (pow a 3) c) (pow b 6)))
(* -3/8 (/ a (pow b 2)))
(* -3/8 (/ a (pow b 2)))
(* -3/8 (/ a (pow b 2)))
(* -3/8 (/ a (pow b 2)))
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* -9/16 (/ (* (pow a 2) c) (pow b 4)))
(* -9/16 (/ (* (pow a 2) c) (pow b 4)))
(* -9/16 (/ (* (pow a 2) c) (pow b 4)))
(* -9/16 (/ (* (pow a 2) c) (pow b 4)))
(* -9/16 (* (pow a 2) c))
(* -9/16 (* (pow a 2) c))
(* -9/16 (* (pow a 2) c))
(* -9/16 (* (pow a 2) c))
Outputs
(* -9/16 (/ (pow a 2) (pow b 4)))
(/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 4 binary64)))
(+ (* -135/128 (/ (* (pow a 3) c) (pow b 6))) (* -9/16 (/ (pow a 2) (pow b 4))))
(fma.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 a #s(literal 3 binary64))) (/.f64 c (pow.f64 b #s(literal 6 binary64))) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 4 binary64))))
(+ (* -135/128 (/ (* (pow a 3) c) (pow b 6))) (* -9/16 (/ (pow a 2) (pow b 4))))
(fma.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 a #s(literal 3 binary64))) (/.f64 c (pow.f64 b #s(literal 6 binary64))) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 4 binary64))))
(+ (* -135/128 (/ (* (pow a 3) c) (pow b 6))) (* -9/16 (/ (pow a 2) (pow b 4))))
(fma.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 a #s(literal 3 binary64))) (/.f64 c (pow.f64 b #s(literal 6 binary64))) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 4 binary64))))
(* -1/2 (/ c b))
(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(*.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) b)) c)
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) c) (/.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 405/64 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 b a)) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)
(* -1/2 (/ c b))
(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(*.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) b)) c)
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -135/128 (/ (* (pow a 3) c) (pow b 7))) (* -9/16 (/ (pow a 2) (pow b 5))))))) (* 1/2 (/ 1 b))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 a #s(literal 3 binary64))) (/.f64 c (pow.f64 b #s(literal 7 binary64))) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)
(* -1/2 c)
(*.f64 #s(literal -1/2 binary64) c)
(* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2))
(*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64)) c)
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 4))) (* -3/8 (/ a (pow b 2))))) 1/2))
(*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)
(* c (- (* c (+ (* -3/8 (/ a (pow b 2))) (* c (+ (* -135/128 (/ (* (pow a 3) c) (pow b 6))) (* -9/16 (/ (pow a 2) (pow b 4))))))) 1/2))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 a #s(literal 3 binary64))) (/.f64 c (pow.f64 b #s(literal 6 binary64))) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 4 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)
(* -1/2 (/ c b))
(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(*.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) b)) c)
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) c) (/.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 405/64 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 b a)) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)
(* -1/2 (/ c b))
(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
(* -1/2 (/ c b))
(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
(* -1/2 (/ c b))
(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
(* -1/2 (/ c b))
(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
(* -1/2 (/ c b))
(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(*.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) b)) c)
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) c) (/.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 405/64 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 b a)) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)
(* -1/2 (/ c b))
(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(*.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) b)) c)
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)
(* -1/2 c)
(*.f64 #s(literal -1/2 binary64) c)
(* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2))
(*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64)) c)
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 4))) (* -3/8 (/ a (pow b 2))))) 1/2))
(*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 4))) (* -3/8 (/ a (pow b 2))))) 1/2))
(*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)
(* -1/2 c)
(*.f64 #s(literal -1/2 binary64) c)
(* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2))
(*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64)) c)
(* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2))
(*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64)) c)
(* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2))
(*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64)) c)
(* -3/2 c)
(*.f64 #s(literal -3/2 binary64) c)
(* c (- (* -9/8 (/ (* a c) (pow b 2))) 3/2))
(*.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64)) c)
(* c (- (* -9/8 (/ (* a c) (pow b 2))) 3/2))
(*.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64)) c)
(* c (- (* -9/8 (/ (* a c) (pow b 2))) 3/2))
(*.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64)) c)
(* -1/2 (/ c b))
(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(*.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) b)) c)
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) c) (/.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 405/64 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 b a)) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)
(* -3/2 (/ c b))
(*.f64 #s(literal -3/2 binary64) (/.f64 c b))
(* c (- (* -9/8 (/ (* a c) (pow b 3))) (* 3/2 (/ 1 b))))
(*.f64 (fma.f64 (*.f64 #s(literal -9/8 binary64) a) (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal -3/2 binary64) b)) c)
(* c (- (* c (+ (* -27/16 (/ (* (pow a 2) c) (pow b 5))) (* -9/8 (/ a (pow b 3))))) (* 3/2 (/ 1 b))))
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 a a)) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (*.f64 #s(literal -9/8 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64))))) c (/.f64 #s(literal -3/2 binary64) b)) c)
(* c (- (* c (+ (* -9/8 (/ a (pow b 3))) (* c (+ (* -27/16 (/ (pow a 2) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 3/2 (/ 1 b))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) (*.f64 (*.f64 #s(literal -1/2 binary64) c) (/.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 405/64 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 b a)))) c (*.f64 #s(literal -9/8 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64))))) c (/.f64 #s(literal -3/2 binary64) b)) c)
(* -3/2 (/ c b))
(*.f64 #s(literal -3/2 binary64) (/.f64 c b))
(* c (- (* -9/8 (/ (* a c) (pow b 3))) (* 3/2 (/ 1 b))))
(*.f64 (fma.f64 (*.f64 #s(literal -9/8 binary64) a) (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal -3/2 binary64) b)) c)
(* c (- (* -9/8 (/ (* a c) (pow b 3))) (* 3/2 (/ 1 b))))
(*.f64 (fma.f64 (*.f64 #s(literal -9/8 binary64) a) (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal -3/2 binary64) b)) c)
(* c (- (* -9/8 (/ (* a c) (pow b 3))) (* 3/2 (/ 1 b))))
(*.f64 (fma.f64 (*.f64 #s(literal -9/8 binary64) a) (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal -3/2 binary64) b)) c)
(* -3/8 (/ a (pow b 2)))
(*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))
(+ (* -9/16 (/ (* (pow a 2) c) (pow b 4))) (* -3/8 (/ a (pow b 2))))
(fma.f64 (*.f64 c #s(literal -9/16 binary64)) (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64)))
(+ (* -9/16 (/ (* (pow a 2) c) (pow b 4))) (* -3/8 (/ a (pow b 2))))
(fma.f64 (*.f64 c #s(literal -9/16 binary64)) (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64)))
(+ (* -9/16 (/ (* (pow a 2) c) (pow b 4))) (* -3/8 (/ a (pow b 2))))
(fma.f64 (*.f64 c #s(literal -9/16 binary64)) (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64)))
(* -1/2 (/ c b))
(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
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(fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 #s(literal 1/3 binary64) b (/.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) a)) (*.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 a c)))) (neg.f64 a))) (neg.f64 a)))
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(* (pow a 2) (+ (* -1 (/ (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))) a)) (* -9/16 (/ (pow c 3) (pow b 5)))))
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(* (pow a 2) (+ (* -1 (/ (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))) a)) (* -9/16 (/ (pow c 3) (pow b 5)))))
(*.f64 (fma.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 c b) (/.f64 (*.f64 (*.f64 c c) #s(literal 3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) (neg.f64 a))) (*.f64 a a))
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
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(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 4))) (* -3/8 (/ (pow c 2) (* a (pow b 2))))))
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(* (pow a 2) (+ (* -1 (/ (+ (* 3/8 (/ (pow c 2) (pow b 2))) (* 1/2 (/ c a))) a)) (* -9/16 (/ (pow c 3) (pow b 4)))))
(*.f64 (fma.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 3/8 binary64) b) (/.f64 (*.f64 c c) b) (*.f64 (/.f64 c a) #s(literal 1/2 binary64))) (neg.f64 a))) (*.f64 a a))
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(/ (pow a 2) (pow b 4))
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(/ (pow a 2) (pow b 4))
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(* -135/128 (/ (* (pow a 3) c) (pow b 6)))
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(* -135/128 (/ (* (pow a 3) c) (pow b 6)))
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(* -135/128 (/ (* (pow a 3) c) (pow b 6)))
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(/ (* a c) b)
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(/ (* a c) b)
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(/ (* a c) b)
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(/ (* a c) b)
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(* a (pow c 2))
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(* a (pow c 2))
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(* a (pow c 2))
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(* a (pow c 2))
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(* -9/16 (/ (* (pow a 2) c) (pow b 4)))
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(* -9/16 (* (pow a 2) c))
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(* -9/16 (* (pow a 2) c))
(*.f64 (*.f64 (*.f64 c a) a) #s(literal -9/16 binary64))
(* -9/16 (* (pow a 2) c))
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rewrite163.0ms (1.9%)

Memory
54.8MiB live, 54.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0106825
0154819
1639815
25556815
08148788
Stop Event
iter limit
node limit
iter limit
Counts
26 → 419
Calls
Call 1
Inputs
(fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 6 binary64))))
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#s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c))
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#s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (/.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 (*.f64 c c) a) b) (*.f64 #s(literal -3/2 binary64) c)) b))
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#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (/.f64 a b) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 4 binary64)))) c #s(literal -1/2 binary64)) c)) b))
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#s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (/.f64 a b) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 4 binary64)))) c #s(literal -1/2 binary64)) c))
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Outputs
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eval196.0ms (2.2%)

Memory
121.6MiB live, 121.6MiB allocated
Compiler

Compiled 35 951 to 3 784 computations (89.5% saved)

prune145.0ms (1.7%)

Memory
108.2MiB live, 108.2MiB allocated
Pruning

50 alts after pruning (48 fresh and 2 done)

PrunedKeptTotal
New1 26471 271
Fresh44145
Picked415
Done011
Total1 272501 322
Accuracy
99.8%
Counts
1 322 → 50
Alt Table
Click to see full alt table
StatusAccuracyProgram
20.2%
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (pow.f64 a #s(literal -1 binary64)) (neg.f64 (/.f64 b a))) #s(literal 3 binary64))
20.2%
(/.f64 (/.f64 (fma.f64 (sqrt.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -3 binary64) c) a) #s(literal 2 binary64)))) (sqrt.f64 (pow.f64 (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b)) #s(literal -1 binary64))) (neg.f64 b)) a) #s(literal 3 binary64))
19.5%
(/.f64 (/.f64 (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a) #s(literal 3 binary64))
19.5%
(/.f64 (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b)) (*.f64 a (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) #s(literal 3 binary64))
18.9%
(/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 3 binary64)) (pow.f64 (/.f64 b a) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 b a))))) #s(literal 3 binary64))
19.3%
(/.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (/.f64 (*.f64 b b) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) a) #s(literal 3 binary64))
20.0%
(/.f64 (/.f64 (-.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) a) #s(literal 3 binary64))
18.6%
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (*.f64 a b)) (*.f64 a a)) #s(literal 3 binary64))
19.5%
(/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b)) (*.f64 (*.f64 #s(literal 3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
20.1%
(/.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal 3 binary64) a) (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))
18.8%
(/.f64 (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 b a)) #s(literal 3 binary64))
19.1%
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64)))
19.0%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
19.1%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (*.f64 b (/.f64 b a))) a)))) (*.f64 #s(literal 3 binary64) a))
19.5%
(/.f64 (*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1/3 binary64) a)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))
19.1%
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal 1/3 binary64)) a)
95.5%
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (/.f64 (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) (*.f64 #s(literal -3/2 binary64) c)) b)) #s(literal 3 binary64))
89.4%
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (/.f64 #s(approx (+ (* (/ -9/8 b) (/ (* (* c c) a) b)) (* -3/2 c)) (*.f64 #s(literal -3/2 binary64) c)) b)) #s(literal 3 binary64))
89.8%
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64))
89.6%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 c b) #s(literal -3/2 binary64)) a)) (*.f64 #s(literal 3 binary64) a))
19.1%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) #s(literal 3 binary64)))
19.1%
(/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a)))
19.5%
(/.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 a (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
19.1%
(/.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a))
97.1%
(/.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 3/8 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal 1/2 binary64) b)) c (*.f64 (/.f64 b a) #s(literal -2/3 binary64))) c)) a))
95.5%
(/.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (/.f64 (fma.f64 (/.f64 b a) #s(literal -2/3 binary64) (*.f64 (/.f64 c b) #s(literal 1/2 binary64))) c)) a))
89.4%
(/.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (*.f64 (/.f64 b (*.f64 a c)) #s(literal -2/3 binary64))) a))
95.6%
(/.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) (*.f64 a c))) b)) a))
97.9%
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (fma.f64 (fma.f64 (fma.f64 (neg.f64 a) (fma.f64 (/.f64 #s(literal -3/4 binary64) b) (/.f64 (*.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) c) b) (fma.f64 (/.f64 #s(literal -2/9 binary64) c) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) b) c) (/.f64 (*.f64 #s(literal 9/16 binary64) (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))))) (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) #s(literal 3/8 binary64))) a (/.f64 #s(literal 1/2 binary64) b)) a (*.f64 (/.f64 b c) #s(literal -2/3 binary64)))))
97.3%
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (fma.f64 (fma.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) #s(literal 3/8 binary64)) a (/.f64 #s(literal 1/2 binary64) b)) a (*.f64 (/.f64 b c) #s(literal -2/3 binary64)))))
95.7%
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (fma.f64 (/.f64 b c) #s(literal -2/3 binary64) (*.f64 (/.f64 a b) #s(literal 1/2 binary64)))))
95.8%
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/.f64 (fma.f64 #s(literal -2/3 binary64) b (*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64))) c)))
89.5%
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (*.f64 (/.f64 b c) #s(literal -2/3 binary64))))
97.9%
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (*.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3/4 binary64) a) (*.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -3/8 binary64)) c) (fma.f64 (*.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (*.f64 c c)) (/.f64 #s(literal 405/64 binary64) a)) #s(literal -2/9 binary64) (*.f64 (*.f64 #s(literal 9/16 binary64) (pow.f64 a #s(literal 3 binary64))) (*.f64 c c)))) (neg.f64 (pow.f64 b #s(literal 6 binary64)))) (fma.f64 #s(literal -3/4 binary64) (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 4 binary64)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 a b) (fma.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 4 binary64)))) (/.f64 #s(literal 2/3 binary64) c))))) b)))
97.2%
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (*.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 a (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) c)))) b)))
18.6%
(-.f64 (/.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 3 binary64)) (/.f64 (/.f64 b a) #s(literal 3 binary64)))
18.7%
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (/.f64 b (*.f64 a #s(literal 3 binary64))))
19.1%
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))
19.1%
(*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 1/3 binary64)))
96.0%
#s(approx (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) b) (/.f64 (*.f64 c c) b) (*.f64 c #s(literal -1/2 binary64))) b))
97.6%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) #s(approx (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c)) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) #s(literal -1/2 binary64)) c))) b))
97.6%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(approx (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c))) (*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64)) c))) b))
97.5%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 #s(approx (+ (* (/ -3/8 b) (/ a b)) (/ (* -9/16 (* (* a a) c)) (pow b 4))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) (/.f64 c b) (*.f64 #s(literal -3/8 binary64) a)) (*.f64 b b))) c #s(literal -1/2 binary64)) c)) b))
96.0%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 #s(approx (+ (* (/ -3/8 b) (/ a b)) (/ (* -9/16 (* (* a a) c)) (pow b 4))) (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b))
95.7%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) #s(approx (* (+ (* (/ -3/8 b) (* a (/ c b))) -1/2) c) (*.f64 (fma.f64 (/.f64 a b) (/.f64 #s(literal -3/8 binary64) b) (/.f64 #s(literal -1/2 binary64) c)) (*.f64 c c)))) b))
98.2%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (/ (* a a) (pow b 4)) -9/16) (/ (* -135/128 (* (pow a 3) c)) (pow b 6))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 c (pow.f64 a #s(literal 3 binary64))) #s(literal -135/128 binary64))) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b))
89.6%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c)))
89.9%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
89.6%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b)))
97.6%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) b) (*.f64 (fma.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 7 binary64))) #s(literal -135/128 binary64) (/.f64 (fma.f64 #s(literal 9/16 binary64) (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) (/.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (/.f64 (/.f64 #s(literal -1/2 binary64) b) c)) (neg.f64 c))) (neg.f64 c))) (pow.f64 c #s(literal 4 binary64)))))
Compiler

Compiled 2 404 to 1 616 computations (32.8% saved)

simplify121.0ms (1.4%)

Memory
30.1MiB live, 30.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (*.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 a (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) c)))) b))
cost-diff0
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (*.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 a (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) c)))) b)))
cost-diff64
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 a (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) c)))
cost-diff512
(neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 a (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) c))))
cost-diff0
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))
cost-diff0
(/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a)
cost-diff384
(/.f64 (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 b a)) #s(literal 3 binary64))
cost-diff704
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 b a))
cost-diff0
(fma.f64 #s(literal -2/3 binary64) b (*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64)))
cost-diff0
(/.f64 (fma.f64 #s(literal -2/3 binary64) b (*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64))) c)
cost-diff0
#s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/.f64 (fma.f64 #s(literal -2/3 binary64) b (*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64))) c))
cost-diff0
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/.f64 (fma.f64 #s(literal -2/3 binary64) b (*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64))) c)))
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
#s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (/ (* a a) (pow b 4)) -9/16) (/ (* -135/128 (* (pow a 3) c)) (pow b 6))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 c (pow.f64 a #s(literal 3 binary64))) #s(literal -135/128 binary64))) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c))
cost-diff0
(/.f64 #s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (/ (* a a) (pow b 4)) -9/16) (/ (* -135/128 (* (pow a 3) c)) (pow b 6))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 c (pow.f64 a #s(literal 3 binary64))) #s(literal -135/128 binary64))) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b)
cost-diff0
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (/ (* a a) (pow b 4)) -9/16) (/ (* -135/128 (* (pow a 3) c)) (pow b 6))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 c (pow.f64 a #s(literal 3 binary64))) #s(literal -135/128 binary64))) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b))
cost-diff6464
(fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 c (pow.f64 a #s(literal 3 binary64))) #s(literal -135/128 binary64)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01101051
01591051
12921047
26881020
31780991
43531985
55412985
08136950
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 #s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (/ (* a a) (pow b 4)) -9/16) (/ (* -135/128 (* (pow a 3) c)) (pow b 6))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 c (pow.f64 a #s(literal 3 binary64))) #s(literal -135/128 binary64))) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b))
(/.f64 #s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (/ (* a a) (pow b 4)) -9/16) (/ (* -135/128 (* (pow a 3) c)) (pow b 6))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 c (pow.f64 a #s(literal 3 binary64))) #s(literal -135/128 binary64))) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b)
#s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (/ (* a a) (pow b 4)) -9/16) (/ (* -135/128 (* (pow a 3) c)) (pow b 6))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 c (pow.f64 a #s(literal 3 binary64))) #s(literal -135/128 binary64))) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c))
(*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (/ (* a a) (pow b 4)) -9/16) (/ (* -135/128 (* (pow a 3) c)) (pow b 6))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 c (pow.f64 a #s(literal 3 binary64))) #s(literal -135/128 binary64))) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)
(fma.f64 (fma.f64 #s(approx (+ (* (/ (* a a) (pow b 4)) -9/16) (/ (* -135/128 (* (pow a 3) c)) (pow b 6))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 c (pow.f64 a #s(literal 3 binary64))) #s(literal -135/128 binary64))) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64))
(fma.f64 #s(approx (+ (* (/ (* a a) (pow b 4)) -9/16) (/ (* -135/128 (* (pow a 3) c)) (pow b 6))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 c (pow.f64 a #s(literal 3 binary64))) #s(literal -135/128 binary64))) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64)))
#s(approx (+ (* (/ (* a a) (pow b 4)) -9/16) (/ (* -135/128 (* (pow a 3) c)) (pow b 6))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 c (pow.f64 a #s(literal 3 binary64))) #s(literal -135/128 binary64))) (pow.f64 b #s(literal 6 binary64))))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 c (pow.f64 a #s(literal 3 binary64))) #s(literal -135/128 binary64))) (pow.f64 b #s(literal 6 binary64)))
(fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 c (pow.f64 a #s(literal 3 binary64))) #s(literal -135/128 binary64)))
(*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b)
(*.f64 (*.f64 a a) #s(literal -9/16 binary64))
(*.f64 a a)
a
#s(literal -9/16 binary64)
b
(*.f64 (*.f64 c (pow.f64 a #s(literal 3 binary64))) #s(literal -135/128 binary64))
(*.f64 c (pow.f64 a #s(literal 3 binary64)))
c
(pow.f64 a #s(literal 3 binary64))
#s(literal 3 binary64)
#s(literal -135/128 binary64)
(pow.f64 b #s(literal 6 binary64))
#s(literal 6 binary64)
(*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))
(/.f64 a (*.f64 b b))
(*.f64 b b)
#s(literal -3/8 binary64)
#s(literal -1/2 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c)))
(/.f64 #s(literal -1/2 binary64) (/.f64 b c))
#s(literal -1/2 binary64)
(/.f64 b c)
b
c
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/.f64 (fma.f64 #s(literal -2/3 binary64) b (*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64))) c)))
#s(literal 1/3 binary64)
#s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/.f64 (fma.f64 #s(literal -2/3 binary64) b (*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64))) c))
(/.f64 (fma.f64 #s(literal -2/3 binary64) b (*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64))) c)
(fma.f64 #s(literal -2/3 binary64) b (*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64)))
#s(literal -2/3 binary64)
b
(*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64))
(*.f64 a (/.f64 c b))
a
(/.f64 c b)
c
#s(literal 1/2 binary64)
(/.f64 (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 b a)) #s(literal 3 binary64))
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 b a))
(/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a)
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))
(*.f64 #s(literal -3 binary64) c)
#s(literal -3 binary64)
c
a
(*.f64 b b)
b
(/.f64 b a)
#s(literal 3 binary64)
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (*.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 a (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) c)))) b)))
#s(literal 1/3 binary64)
#s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (*.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 a (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) c)))) b))
(*.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 a (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) c)))) b)
(neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 a (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) c))))
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 a (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) c)))
(/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 4 binary64)))
(*.f64 (*.f64 (*.f64 a a) c) #s(literal -3/8 binary64))
(*.f64 (*.f64 a a) c)
(*.f64 a a)
a
c
#s(literal -3/8 binary64)
(pow.f64 b #s(literal 4 binary64))
b
#s(literal 4 binary64)
(fma.f64 (/.f64 a (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) c))
(/.f64 a (*.f64 b b))
(*.f64 b b)
#s(literal -1/2 binary64)
(/.f64 #s(literal 2/3 binary64) c)
#s(literal 2/3 binary64)
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (/ (* a a) (pow b 4)) -9/16) (/ (* -135/128 (* (pow a 3) c)) (pow b 6))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 c (pow.f64 a #s(literal 3 binary64))) #s(literal -135/128 binary64))) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (/ (* a a) (pow b 4)) -9/16) (/ (* -135/128 (* (pow a 3) c)) (pow b 6))) (/.f64 (*.f64 (*.f64 a a) (fma.f64 (*.f64 #s(literal -135/128 binary64) c) a (*.f64 (*.f64 b #s(literal -9/16 binary64)) b))) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 #s(literal -3/8 binary64) (/.f64 a (*.f64 b b)))) c #s(literal -1/2 binary64)) c)) b))
(/.f64 #s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (/ (* a a) (pow b 4)) -9/16) (/ (* -135/128 (* (pow a 3) c)) (pow b 6))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 c (pow.f64 a #s(literal 3 binary64))) #s(literal -135/128 binary64))) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b)
(/.f64 #s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (/ (* a a) (pow b 4)) -9/16) (/ (* -135/128 (* (pow a 3) c)) (pow b 6))) (/.f64 (*.f64 (*.f64 a a) (fma.f64 (*.f64 #s(literal -135/128 binary64) c) a (*.f64 (*.f64 b #s(literal -9/16 binary64)) b))) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 #s(literal -3/8 binary64) (/.f64 a (*.f64 b b)))) c #s(literal -1/2 binary64)) c)) b)
#s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (/ (* a a) (pow b 4)) -9/16) (/ (* -135/128 (* (pow a 3) c)) (pow b 6))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 c (pow.f64 a #s(literal 3 binary64))) #s(literal -135/128 binary64))) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c))
#s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (/ (* a a) (pow b 4)) -9/16) (/ (* -135/128 (* (pow a 3) c)) (pow b 6))) (/.f64 (*.f64 (*.f64 a a) (fma.f64 (*.f64 #s(literal -135/128 binary64) c) a (*.f64 (*.f64 b #s(literal -9/16 binary64)) b))) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 #s(literal -3/8 binary64) (/.f64 a (*.f64 b b)))) c #s(literal -1/2 binary64)) c))
(*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (/ (* a a) (pow b 4)) -9/16) (/ (* -135/128 (* (pow a 3) c)) (pow b 6))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 c (pow.f64 a #s(literal 3 binary64))) #s(literal -135/128 binary64))) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)
(*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (/ (* a a) (pow b 4)) -9/16) (/ (* -135/128 (* (pow a 3) c)) (pow b 6))) (/.f64 (*.f64 (*.f64 a a) (fma.f64 (*.f64 #s(literal -135/128 binary64) c) a (*.f64 (*.f64 b #s(literal -9/16 binary64)) b))) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 #s(literal -3/8 binary64) (/.f64 a (*.f64 b b)))) c #s(literal -1/2 binary64)) c)
(fma.f64 (fma.f64 #s(approx (+ (* (/ (* a a) (pow b 4)) -9/16) (/ (* -135/128 (* (pow a 3) c)) (pow b 6))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 c (pow.f64 a #s(literal 3 binary64))) #s(literal -135/128 binary64))) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64))
(fma.f64 (fma.f64 #s(approx (+ (* (/ (* a a) (pow b 4)) -9/16) (/ (* -135/128 (* (pow a 3) c)) (pow b 6))) (/.f64 (*.f64 (*.f64 a a) (fma.f64 (*.f64 #s(literal -135/128 binary64) c) a (*.f64 (*.f64 b #s(literal -9/16 binary64)) b))) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 #s(literal -3/8 binary64) (/.f64 a (*.f64 b b)))) c #s(literal -1/2 binary64))
(fma.f64 #s(approx (+ (* (/ (* a a) (pow b 4)) -9/16) (/ (* -135/128 (* (pow a 3) c)) (pow b 6))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 c (pow.f64 a #s(literal 3 binary64))) #s(literal -135/128 binary64))) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64)))
(fma.f64 #s(approx (+ (* (/ (* a a) (pow b 4)) -9/16) (/ (* -135/128 (* (pow a 3) c)) (pow b 6))) (/.f64 (*.f64 (*.f64 a a) (fma.f64 (*.f64 #s(literal -135/128 binary64) c) a (*.f64 (*.f64 b #s(literal -9/16 binary64)) b))) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 #s(literal -3/8 binary64) (/.f64 a (*.f64 b b))))
#s(approx (+ (* (/ (* a a) (pow b 4)) -9/16) (/ (* -135/128 (* (pow a 3) c)) (pow b 6))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 c (pow.f64 a #s(literal 3 binary64))) #s(literal -135/128 binary64))) (pow.f64 b #s(literal 6 binary64))))
#s(approx (+ (* (/ (* a a) (pow b 4)) -9/16) (/ (* -135/128 (* (pow a 3) c)) (pow b 6))) (/.f64 (*.f64 (*.f64 a a) (fma.f64 (*.f64 #s(literal -135/128 binary64) c) a (*.f64 (*.f64 b #s(literal -9/16 binary64)) b))) (pow.f64 b #s(literal 6 binary64))))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 c (pow.f64 a #s(literal 3 binary64))) #s(literal -135/128 binary64))) (pow.f64 b #s(literal 6 binary64)))
(/.f64 (*.f64 (*.f64 a a) (fma.f64 (*.f64 #s(literal -135/128 binary64) c) a (*.f64 (*.f64 b #s(literal -9/16 binary64)) b))) (pow.f64 b #s(literal 6 binary64)))
(fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 c (pow.f64 a #s(literal 3 binary64))) #s(literal -135/128 binary64)))
(*.f64 (*.f64 a a) (fma.f64 (*.f64 #s(literal -135/128 binary64) c) a (*.f64 (*.f64 b #s(literal -9/16 binary64)) b)))
(*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b)
(*.f64 b (*.f64 #s(literal -9/16 binary64) (*.f64 a a)))
(*.f64 (*.f64 a a) #s(literal -9/16 binary64))
(*.f64 #s(literal -9/16 binary64) (*.f64 a a))
(*.f64 a a)
a
#s(literal -9/16 binary64)
b
(*.f64 (*.f64 c (pow.f64 a #s(literal 3 binary64))) #s(literal -135/128 binary64))
(*.f64 (*.f64 #s(literal -135/128 binary64) c) (pow.f64 a #s(literal 3 binary64)))
(*.f64 c (pow.f64 a #s(literal 3 binary64)))
(*.f64 (pow.f64 a #s(literal 3 binary64)) c)
c
(pow.f64 a #s(literal 3 binary64))
#s(literal 3 binary64)
#s(literal -135/128 binary64)
(pow.f64 b #s(literal 6 binary64))
#s(literal 6 binary64)
(*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))
(*.f64 #s(literal -3/8 binary64) (/.f64 a (*.f64 b b)))
(/.f64 a (*.f64 b b))
(*.f64 b b)
#s(literal -3/8 binary64)
#s(literal -1/2 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b))
(/.f64 #s(literal -1/2 binary64) (/.f64 b c))
(/.f64 (*.f64 #s(literal -1/2 binary64) c) b)
#s(literal -1/2 binary64)
(/.f64 b c)
b
c
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/.f64 (fma.f64 #s(literal -2/3 binary64) b (*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64))) c)))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/.f64 (fma.f64 (*.f64 (/.f64 c b) a) #s(literal 1/2 binary64) (*.f64 #s(literal -2/3 binary64) b)) c)))
#s(literal 1/3 binary64)
#s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/.f64 (fma.f64 #s(literal -2/3 binary64) b (*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64))) c))
#s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/.f64 (fma.f64 (*.f64 (/.f64 c b) a) #s(literal 1/2 binary64) (*.f64 #s(literal -2/3 binary64) b)) c))
(/.f64 (fma.f64 #s(literal -2/3 binary64) b (*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64))) c)
(/.f64 (fma.f64 (*.f64 (/.f64 c b) a) #s(literal 1/2 binary64) (*.f64 #s(literal -2/3 binary64) b)) c)
(fma.f64 #s(literal -2/3 binary64) b (*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 (/.f64 c b) a) #s(literal 1/2 binary64) (*.f64 #s(literal -2/3 binary64) b))
#s(literal -2/3 binary64)
b
(*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64))
(*.f64 (*.f64 (/.f64 c b) a) #s(literal 1/2 binary64))
(*.f64 a (/.f64 c b))
(*.f64 (/.f64 c b) a)
a
(/.f64 c b)
c
#s(literal 1/2 binary64)
(/.f64 (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 b a)) #s(literal 3 binary64))
(*.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) a))
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 b a))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a)
(/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a)
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))
(*.f64 #s(literal -3 binary64) c)
#s(literal -3 binary64)
c
a
(*.f64 b b)
b
(/.f64 b a)
#s(literal 3 binary64)
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (*.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 a (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) c)))) b)))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 3/8 binary64) (/.f64 a (pow.f64 b #s(literal 4 binary64)))) c (/.f64 #s(literal 1/2 binary64) (*.f64 b b))) a (/.f64 #s(literal -2/3 binary64) c)) b)))
#s(literal 1/3 binary64)
#s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (*.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 a (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) c)))) b))
#s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 3/8 binary64) (/.f64 a (pow.f64 b #s(literal 4 binary64)))) c (/.f64 #s(literal 1/2 binary64) (*.f64 b b))) a (/.f64 #s(literal -2/3 binary64) c)) b))
(*.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 a (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) c)))) b)
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 3/8 binary64) (/.f64 a (pow.f64 b #s(literal 4 binary64)))) c (/.f64 #s(literal 1/2 binary64) (*.f64 b b))) a (/.f64 #s(literal -2/3 binary64) c)) b)
(neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 a (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) c))))
(fma.f64 (fma.f64 (*.f64 #s(literal 3/8 binary64) (/.f64 a (pow.f64 b #s(literal 4 binary64)))) c (/.f64 #s(literal 1/2 binary64) (*.f64 b b))) a (/.f64 #s(literal -2/3 binary64) c))
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 a (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) c)))
(fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal 4 binary64))) c) a (/.f64 (/.f64 #s(literal -1/2 binary64) b) b)) a (/.f64 #s(literal 2/3 binary64) c))
(/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 4 binary64)))
(*.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 4 binary64))) a) (*.f64 #s(literal -3/8 binary64) a))
(*.f64 (*.f64 (*.f64 a a) c) #s(literal -3/8 binary64))
(*.f64 (*.f64 c (*.f64 a a)) #s(literal -3/8 binary64))
(*.f64 (*.f64 a a) c)
(*.f64 c (*.f64 a a))
(*.f64 a a)
a
c
#s(literal -3/8 binary64)
(pow.f64 b #s(literal 4 binary64))
b
#s(literal 4 binary64)
(fma.f64 (/.f64 a (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) c))
(fma.f64 #s(literal -1/2 binary64) (/.f64 a (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) c))
(/.f64 a (*.f64 b b))
(*.f64 b b)
#s(literal -1/2 binary64)
(/.f64 #s(literal 2/3 binary64) c)
#s(literal 2/3 binary64)

localize385.0ms (4.4%)

Memory
123.9MiB live, 123.9MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.37890625
(/.f64 #s(literal 2/3 binary64) c)
accuracy0.403007519536884
(/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 4 binary64)))
accuracy0.41634750976844204
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (*.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 a (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) c)))) b)))
accuracy1.389053323658499
#s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (*.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 a (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) c)))) b))
accuracy0.078125
(/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a)
accuracy0.11556625976844201
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))
accuracy0.328125
(/.f64 (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 b a)) #s(literal 3 binary64))
accuracy51.953705879011174
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 b a))
accuracy0.32421875
(fma.f64 #s(literal -2/3 binary64) b (*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64)))
accuracy0.3359375
(*.f64 a (/.f64 c b))
accuracy0.41634750976844204
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/.f64 (fma.f64 #s(literal -2/3 binary64) b (*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64))) c)))
accuracy2.385238945829084
#s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/.f64 (fma.f64 #s(literal -2/3 binary64) b (*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64))) c))
accuracy0
(/.f64 b c)
accuracy0.28125
(/.f64 #s(literal -1/2 binary64) (/.f64 b c))
accuracy6.4383547614343515
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c)))
accuracy0.265625
(*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b)
accuracy0.3203125
(*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))
accuracy0.34603500976844204
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 c (pow.f64 a #s(literal 3 binary64))) #s(literal -135/128 binary64))) (pow.f64 b #s(literal 6 binary64)))
accuracy1.039191875626255
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (/ (* a a) (pow b 4)) -9/16) (/ (* -135/128 (* (pow a 3) c)) (pow b 6))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 c (pow.f64 a #s(literal 3 binary64))) #s(literal -135/128 binary64))) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b))
Samples
267.0ms204×1valid
38.0ms52×0valid
Compiler

Compiled 1 355 to 164 computations (87.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 246.0ms
ival-mult: 72.0ms (29.3% of total)
ival-div: 51.0ms (20.7% of total)
ival-pow: 30.0ms (12.2% of total)
adjust: 27.0ms (11% of total)
ival-add: 25.0ms (10.2% of total)
const: 20.0ms (8.1% of total)
ival-sqrt: 7.0ms (2.8% of total)
ival-sub: 7.0ms (2.8% of total)
ival-neg: 4.0ms (1.6% of total)
exact: 2.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series104.0ms (1.2%)

Memory
46.5MiB live, 46.5MiB allocated
Counts
26 → 864
Calls
Call 1
Inputs
#s(alt (fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 c (pow.f64 a #s(literal 3 binary64))) #s(literal -135/128 binary64))) (patch (fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 c (pow.f64 a #s(literal 3 binary64))) #s(literal -135/128 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (/ (* a a) (pow b 4)) -9/16) (/ (* -135/128 (* (pow a 3) c)) (pow b 6))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 c (pow.f64 a #s(literal 3 binary64))) #s(literal -135/128 binary64))) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (/ (* a a) (pow b 4)) -9/16) (/ (* -135/128 (* (pow a 3) c)) (pow b 6))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 c (pow.f64 a #s(literal 3 binary64))) #s(literal -135/128 binary64))) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (/ (* a a) (pow b 4)) -9/16) (/ (* -135/128 (* (pow a 3) c)) (pow b 6))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 c (pow.f64 a #s(literal 3 binary64))) #s(literal -135/128 binary64))) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b) (patch (/.f64 #s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (/ (* a a) (pow b 4)) -9/16) (/ (* -135/128 (* (pow a 3) c)) (pow b 6))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 c (pow.f64 a #s(literal 3 binary64))) #s(literal -135/128 binary64))) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (/ (* a a) (pow b 4)) -9/16) (/ (* -135/128 (* (pow a 3) c)) (pow b 6))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 c (pow.f64 a #s(literal 3 binary64))) #s(literal -135/128 binary64))) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) (patch #s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (/ (* a a) (pow b 4)) -9/16) (/ (* -135/128 (* (pow a 3) c)) (pow b 6))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 c (pow.f64 a #s(literal 3 binary64))) #s(literal -135/128 binary64))) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1/2 binary64) (/.f64 b c)) (patch (/.f64 #s(literal -1/2 binary64) (/.f64 b c)) #<representation binary64>) () ())
#s(alt #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 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/.f64 (fma.f64 #s(literal -2/3 binary64) b (*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64))) c))) (patch (/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/.f64 (fma.f64 #s(literal -2/3 binary64) b (*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64))) c))) #<representation binary64>) () ())
#s(alt #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/.f64 (fma.f64 #s(literal -2/3 binary64) b (*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64))) c)) (patch #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/.f64 (fma.f64 #s(literal -2/3 binary64) b (*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64))) c)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 #s(literal -2/3 binary64) b (*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64))) c) (patch (/.f64 (fma.f64 #s(literal -2/3 binary64) b (*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64))) c) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -2/3 binary64) b (*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64))) (patch (fma.f64 #s(literal -2/3 binary64) b (*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 b a)) (patch (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 b a)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 b a)) #s(literal 3 binary64)) (patch (/.f64 (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 b a)) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (patch (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (patch (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #<representation binary64>) () ())
#s(alt (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 a (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) c)))) (patch (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 a (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) c)))) #<representation binary64>) () ())
#s(alt (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 a (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) c))) (patch (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 a (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) c))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (*.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 a (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) c)))) b))) (patch (/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (*.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 a (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) c)))) b))) #<representation binary64>) () ())
#s(alt #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (*.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 a (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) c)))) b)) (patch #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (*.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 a (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) c)))) b)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 c (pow.f64 a #s(literal 3 binary64))) #s(literal -135/128 binary64))) (pow.f64 b #s(literal 6 binary64))) (patch (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 c (pow.f64 a #s(literal 3 binary64))) #s(literal -135/128 binary64))) (pow.f64 b #s(literal 6 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64)) (patch (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) (patch (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) #<representation binary64>) () ())
#s(alt (*.f64 a (/.f64 c b)) (patch (*.f64 a (/.f64 c b)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (patch (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 4 binary64))) (patch (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 4 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 2/3 binary64) c) (patch (/.f64 #s(literal 2/3 binary64) c) #<representation binary64>) () ())
Outputs
#s(alt (* -9/16 (* (pow a 2) (pow b 2))) (taylor 0 c) (#s(alt (fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 c (pow.f64 a #s(literal 3 binary64))) #s(literal -135/128 binary64))) (patch (fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 c (pow.f64 a #s(literal 3 binary64))) #s(literal -135/128 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -135/128 (* (pow a 3) c)) (* -9/16 (* (pow a 2) (pow b 2)))) (taylor 0 c) (#s(alt (fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 c (pow.f64 a #s(literal 3 binary64))) #s(literal -135/128 binary64))) (patch (fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 c (pow.f64 a #s(literal 3 binary64))) #s(literal -135/128 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -135/128 (* (pow a 3) c)) (* -9/16 (* (pow a 2) (pow b 2)))) (taylor 0 c) (#s(alt (fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 c (pow.f64 a #s(literal 3 binary64))) #s(literal -135/128 binary64))) (patch (fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 c (pow.f64 a #s(literal 3 binary64))) #s(literal -135/128 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -135/128 (* (pow a 3) c)) (* -9/16 (* (pow a 2) (pow b 2)))) (taylor 0 c) (#s(alt (fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 c (pow.f64 a #s(literal 3 binary64))) #s(literal -135/128 binary64))) (patch (fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 c (pow.f64 a #s(literal 3 binary64))) #s(literal -135/128 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ c b)) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (/ (* a a) (pow b 4)) -9/16) (/ (* -135/128 (* (pow a 3) c)) (pow b 6))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 c (pow.f64 a #s(literal 3 binary64))) #s(literal -135/128 binary64))) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (/ (* a a) (pow b 4)) -9/16) (/ (* -135/128 (* (pow a 3) c)) (pow b 6))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 c (pow.f64 a #s(literal 3 binary64))) #s(literal -135/128 binary64))) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (/ (* a a) (pow b 4)) -9/16) (/ (* -135/128 (* (pow a 3) c)) (pow b 6))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 c (pow.f64 a #s(literal 3 binary64))) #s(literal -135/128 binary64))) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (/ (* a a) (pow b 4)) -9/16) (/ (* -135/128 (* (pow a 3) c)) (pow b 6))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 c (pow.f64 a #s(literal 3 binary64))) #s(literal -135/128 binary64))) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (/ (* a a) (pow b 4)) -9/16) (/ (* -135/128 (* (pow a 3) c)) (pow b 6))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 c (pow.f64 a #s(literal 3 binary64))) #s(literal -135/128 binary64))) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (/ (* a a) (pow b 4)) -9/16) (/ (* -135/128 (* (pow a 3) c)) (pow b 6))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 c (pow.f64 a #s(literal 3 binary64))) #s(literal -135/128 binary64))) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (/ (* a a) (pow b 4)) -9/16) (/ (* -135/128 (* (pow a 3) c)) (pow b 6))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 c (pow.f64 a #s(literal 3 binary64))) #s(literal -135/128 binary64))) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (/ (* a a) (pow b 4)) -9/16) (/ (* -135/128 (* (pow a 3) c)) (pow b 6))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 c (pow.f64 a #s(literal 3 binary64))) #s(literal -135/128 binary64))) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ c b)) (taylor 0 c) (#s(alt (/.f64 #s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (/ (* a a) (pow b 4)) -9/16) (/ (* -135/128 (* (pow a 3) c)) (pow b 6))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 c (pow.f64 a #s(literal 3 binary64))) #s(literal -135/128 binary64))) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b) (patch (/.f64 #s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (/ (* a a) (pow b 4)) -9/16) (/ (* -135/128 (* (pow a 3) c)) (pow b 6))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 c (pow.f64 a #s(literal 3 binary64))) #s(literal -135/128 binary64))) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt (/.f64 #s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (/ (* a a) (pow b 4)) -9/16) (/ (* -135/128 (* (pow a 3) c)) (pow b 6))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 c (pow.f64 a #s(literal 3 binary64))) #s(literal -135/128 binary64))) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b) (patch (/.f64 #s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (/ (* a a) (pow b 4)) -9/16) (/ (* -135/128 (* (pow a 3) c)) (pow b 6))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 c (pow.f64 a #s(literal 3 binary64))) #s(literal -135/128 binary64))) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b) #<representation binary64>) () ())) ())
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#s(alt (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) (taylor inf c) (#s(alt (/.f64 (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 b a)) #s(literal 3 binary64)) (patch (/.f64 (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 b a)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* (sqrt (/ c a)) (sqrt -3)) (taylor inf c) (#s(alt (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (patch (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #<representation binary64>) () ())) ())
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#s(alt (* (sqrt (* a c)) (sqrt -3)) (taylor inf c) (#s(alt (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (patch (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (taylor inf c) (#s(alt (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (patch (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))) (taylor inf c) (#s(alt (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (patch (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #<representation binary64>) () ())) ())
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#s(alt (* 3/8 (/ (* (pow a 2) c) (pow b 4))) (taylor inf c) (#s(alt (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 a (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) c)))) (patch (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 a (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) c)))) #<representation binary64>) () ())) ())
#s(alt (* c (- (* 1/2 (/ a (* (pow b 2) c))) (* -3/8 (/ (pow a 2) (pow b 4))))) (taylor inf c) (#s(alt (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 a (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) c)))) (patch (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 a (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) c)))) #<representation binary64>) () ())) ())
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#s(alt (* -3/8 (/ (* (pow a 2) c) (pow b 4))) (taylor inf c) (#s(alt (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 a (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) c))) (patch (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 a (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) c))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1/2 (/ a (* (pow b 2) c))) (* -3/8 (/ (pow a 2) (pow b 4))))) (taylor inf c) (#s(alt (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 a (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) c))) (patch (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 a (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) c))) #<representation binary64>) () ())) ())
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#s(alt (* c (+ (* -1/2 (/ a (* (pow b 2) c))) (+ (* -3/8 (/ (pow a 2) (pow b 4))) (/ 2/3 (pow c 2))))) (taylor inf c) (#s(alt (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 a (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) c))) (patch (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 a (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) c))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (taylor inf c) (#s(alt (/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (*.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 a (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) c)))) b))) (patch (/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (*.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 a (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) c)))) b))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) (taylor inf c) (#s(alt (/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (*.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 a (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) c)))) b))) (patch (/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (*.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 a (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) c)))) b))) #<representation binary64>) () ())) ())
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#s(alt (+ (* -1 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* -1 (/ (* a b) (* c (pow (sqrt 3) 2))))) a))) (taylor -inf a) (#s(alt #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (*.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 a (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) c)))) b)) (patch #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (*.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 a (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) c)))) b)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* a (pow b 3)) (* (pow c 2) (pow (sqrt 3) 4)))) (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) (sqrt 3)))) (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* -1 (/ (* a b) (* c (pow (sqrt 3) 2))))) a))) (taylor -inf a) (#s(alt #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (*.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 a (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) c)))) b)) (patch #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (*.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 a (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) c)))) b)) #<representation binary64>) () ())) ())
#s(alt (* -135/128 (/ (* (pow a 3) c) (pow b 6))) (taylor -inf a) (#s(alt (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 c (pow.f64 a #s(literal 3 binary64))) #s(literal -135/128 binary64))) (pow.f64 b #s(literal 6 binary64))) (patch (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 c (pow.f64 a #s(literal 3 binary64))) #s(literal -135/128 binary64))) (pow.f64 b #s(literal 6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow a 3) (+ (* 135/128 (/ c (pow b 6))) (* 9/16 (/ 1 (* a (pow b 4))))))) (taylor -inf a) (#s(alt (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 c (pow.f64 a #s(literal 3 binary64))) #s(literal -135/128 binary64))) (pow.f64 b #s(literal 6 binary64))) (patch (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 c (pow.f64 a #s(literal 3 binary64))) #s(literal -135/128 binary64))) (pow.f64 b #s(literal 6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow a 3) (+ (* 135/128 (/ c (pow b 6))) (* 9/16 (/ 1 (* a (pow b 4))))))) (taylor -inf a) (#s(alt (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 c (pow.f64 a #s(literal 3 binary64))) #s(literal -135/128 binary64))) (pow.f64 b #s(literal 6 binary64))) (patch (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 c (pow.f64 a #s(literal 3 binary64))) #s(literal -135/128 binary64))) (pow.f64 b #s(literal 6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow a 3) (+ (* 135/128 (/ c (pow b 6))) (* 9/16 (/ 1 (* a (pow b 4))))))) (taylor -inf a) (#s(alt (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 c (pow.f64 a #s(literal 3 binary64))) #s(literal -135/128 binary64))) (pow.f64 b #s(literal 6 binary64))) (patch (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 c (pow.f64 a #s(literal 3 binary64))) #s(literal -135/128 binary64))) (pow.f64 b #s(literal 6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -3/8 (/ a (pow b 2))) (taylor -inf a) (#s(alt (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64)) (patch (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -3/8 (/ a (pow b 2))) (taylor -inf a) (#s(alt (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64)) (patch (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -3/8 (/ a (pow b 2))) (taylor -inf a) (#s(alt (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64)) (patch (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -3/8 (/ a (pow b 2))) (taylor -inf a) (#s(alt (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64)) (patch (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -9/16 (* (pow a 2) b)) (taylor -inf a) (#s(alt (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) (patch (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) #<representation binary64>) () ())) ())
#s(alt (* -9/16 (* (pow a 2) b)) (taylor -inf a) (#s(alt (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) (patch (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) #<representation binary64>) () ())) ())
#s(alt (* -9/16 (* (pow a 2) b)) (taylor -inf a) (#s(alt (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) (patch (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) #<representation binary64>) () ())) ())
#s(alt (* -9/16 (* (pow a 2) b)) (taylor -inf a) (#s(alt (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) (patch (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) b) (taylor -inf a) (#s(alt (*.f64 a (/.f64 c b)) (patch (*.f64 a (/.f64 c b)) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) b) (taylor -inf a) (#s(alt (*.f64 a (/.f64 c b)) (patch (*.f64 a (/.f64 c b)) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) b) (taylor -inf a) (#s(alt (*.f64 a (/.f64 c b)) (patch (*.f64 a (/.f64 c b)) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) b) (taylor -inf a) (#s(alt (*.f64 a (/.f64 c b)) (patch (*.f64 a (/.f64 c b)) #<representation binary64>) () ())) ())
#s(alt (* -3 (* a c)) (taylor -inf a) (#s(alt (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (patch (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))) (taylor -inf a) (#s(alt (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (patch (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))) (taylor -inf a) (#s(alt (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (patch (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))) (taylor -inf a) (#s(alt (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (patch (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* -3/8 (/ (* (pow a 2) c) (pow b 4))) (taylor -inf a) (#s(alt (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 4 binary64))) (patch (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -3/8 (/ (* (pow a 2) c) (pow b 4))) (taylor -inf a) (#s(alt (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 4 binary64))) (patch (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -3/8 (/ (* (pow a 2) c) (pow b 4))) (taylor -inf a) (#s(alt (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 4 binary64))) (patch (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -3/8 (/ (* (pow a 2) c) (pow b 4))) (taylor -inf a) (#s(alt (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 4 binary64))) (patch (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 4 binary64))) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
7.0ms
c
@-inf
((+ (* (* (* (* a a) -9/16) b) b) (* (* c (pow a 3)) -135/128)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) b) (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (/ -1/2 (/ b c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ b c) (/ 1/3 (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a)) (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/ (+ (* -2/3 b) (* (* a (/ c b)) 1/2)) c) (+ (* -2/3 b) (* (* a (/ c b)) 1/2)) (- (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) (/ b a)) (/ (- (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) (/ b a)) 3) (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) (sqrt (+ (* (* -3 c) a) (* b b))) (neg (+ (/ (* (* (* a a) c) -3/8) (pow b 4)) (+ (* (/ a (* b b)) -1/2) (/ 2/3 c)))) (+ (/ (* (* (* a a) c) -3/8) (pow b 4)) (+ (* (/ a (* b b)) -1/2) (/ 2/3 c))) (/ 1/3 (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a)) (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/ (+ (* (* (* (* a a) -9/16) b) b) (* (* c (pow a 3)) -135/128)) (pow b 6)) (* (/ a (* b b)) -3/8) (* (* (* a a) -9/16) b) (* a (/ c b)) (+ (* (* -3 c) a) (* b b)) (/ (* (* (* a a) c) -3/8) (pow b 4)) (/ 2/3 c))
6.0ms
a
@-inf
((+ (* (* (* (* a a) -9/16) b) b) (* (* c (pow a 3)) -135/128)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) b) (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (/ -1/2 (/ b c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ b c) (/ 1/3 (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a)) (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/ (+ (* -2/3 b) (* (* a (/ c b)) 1/2)) c) (+ (* -2/3 b) (* (* a (/ c b)) 1/2)) (- (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) (/ b a)) (/ (- (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) (/ b a)) 3) (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) (sqrt (+ (* (* -3 c) a) (* b b))) (neg (+ (/ (* (* (* a a) c) -3/8) (pow b 4)) (+ (* (/ a (* b b)) -1/2) (/ 2/3 c)))) (+ (/ (* (* (* a a) c) -3/8) (pow b 4)) (+ (* (/ a (* b b)) -1/2) (/ 2/3 c))) (/ 1/3 (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a)) (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/ (+ (* (* (* (* a a) -9/16) b) b) (* (* c (pow a 3)) -135/128)) (pow b 6)) (* (/ a (* b b)) -3/8) (* (* (* a a) -9/16) b) (* a (/ c b)) (+ (* (* -3 c) a) (* b b)) (/ (* (* (* a a) c) -3/8) (pow b 4)) (/ 2/3 c))
6.0ms
b
@0
((+ (* (* (* (* a a) -9/16) b) b) (* (* c (pow a 3)) -135/128)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) b) (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (/ -1/2 (/ b c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ b c) (/ 1/3 (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a)) (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/ (+ (* -2/3 b) (* (* a (/ c b)) 1/2)) c) (+ (* -2/3 b) (* (* a (/ c b)) 1/2)) (- (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) (/ b a)) (/ (- (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) (/ b a)) 3) (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) (sqrt (+ (* (* -3 c) a) (* b b))) (neg (+ (/ (* (* (* a a) c) -3/8) (pow b 4)) (+ (* (/ a (* b b)) -1/2) (/ 2/3 c)))) (+ (/ (* (* (* a a) c) -3/8) (pow b 4)) (+ (* (/ a (* b b)) -1/2) (/ 2/3 c))) (/ 1/3 (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a)) (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/ (+ (* (* (* (* a a) -9/16) b) b) (* (* c (pow a 3)) -135/128)) (pow b 6)) (* (/ a (* b b)) -3/8) (* (* (* a a) -9/16) b) (* a (/ c b)) (+ (* (* -3 c) a) (* b b)) (/ (* (* (* a a) c) -3/8) (pow b 4)) (/ 2/3 c))
6.0ms
b
@inf
((+ (* (* (* (* a a) -9/16) b) b) (* (* c (pow a 3)) -135/128)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) b) (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (/ -1/2 (/ b c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ b c) (/ 1/3 (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a)) (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/ (+ (* -2/3 b) (* (* a (/ c b)) 1/2)) c) (+ (* -2/3 b) (* (* a (/ c b)) 1/2)) (- (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) (/ b a)) (/ (- (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) (/ b a)) 3) (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) (sqrt (+ (* (* -3 c) a) (* b b))) (neg (+ (/ (* (* (* a a) c) -3/8) (pow b 4)) (+ (* (/ a (* b b)) -1/2) (/ 2/3 c)))) (+ (/ (* (* (* a a) c) -3/8) (pow b 4)) (+ (* (/ a (* b b)) -1/2) (/ 2/3 c))) (/ 1/3 (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a)) (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/ (+ (* (* (* (* a a) -9/16) b) b) (* (* c (pow a 3)) -135/128)) (pow b 6)) (* (/ a (* b b)) -3/8) (* (* (* a a) -9/16) b) (* a (/ c b)) (+ (* (* -3 c) a) (* b b)) (/ (* (* (* a a) c) -3/8) (pow b 4)) (/ 2/3 c))
6.0ms
c
@0
((+ (* (* (* (* a a) -9/16) b) b) (* (* c (pow a 3)) -135/128)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) b) (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (/ -1/2 (/ b c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ b c) (/ 1/3 (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a)) (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/ (+ (* -2/3 b) (* (* a (/ c b)) 1/2)) c) (+ (* -2/3 b) (* (* a (/ c b)) 1/2)) (- (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) (/ b a)) (/ (- (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) (/ b a)) 3) (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) (sqrt (+ (* (* -3 c) a) (* b b))) (neg (+ (/ (* (* (* a a) c) -3/8) (pow b 4)) (+ (* (/ a (* b b)) -1/2) (/ 2/3 c)))) (+ (/ (* (* (* a a) c) -3/8) (pow b 4)) (+ (* (/ a (* b b)) -1/2) (/ 2/3 c))) (/ 1/3 (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a)) (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/ (+ (* (* (* (* a a) -9/16) b) b) (* (* c (pow a 3)) -135/128)) (pow b 6)) (* (/ a (* b b)) -3/8) (* (* (* a a) -9/16) b) (* a (/ c b)) (+ (* (* -3 c) a) (* b b)) (/ (* (* (* a a) c) -3/8) (pow b 4)) (/ 2/3 c))

simplify213.0ms (2.4%)

Memory
76.7MiB live, 76.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0137217690
1452017403
0922216619
Stop Event
iter limit
node limit
Counts
864 → 861
Calls
Call 1
Inputs
(* -9/16 (* (pow a 2) (pow b 2)))
(+ (* -135/128 (* (pow a 3) c)) (* -9/16 (* (pow a 2) (pow b 2))))
(+ (* -135/128 (* (pow a 3) c)) (* -9/16 (* (pow a 2) (pow b 2))))
(+ (* -135/128 (* (pow a 3) c)) (* -9/16 (* (pow a 2) (pow b 2))))
(* -1/2 (/ c b))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))
(* -1/2 (/ c b))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -135/128 (/ (* (pow a 3) c) (pow b 7))) (* -9/16 (/ (pow a 2) (pow b 5))))))) (* 1/2 (/ 1 b))))
(* -1/2 c)
(* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 4))) (* -3/8 (/ a (pow b 2))))) 1/2))
(* c (- (* c (+ (* -3/8 (/ a (pow b 2))) (* c (+ (* -135/128 (/ (* (pow a 3) c) (pow b 6))) (* -9/16 (/ (pow a 2) (pow b 4))))))) 1/2))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(* -1/2 (/ c b))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))
(* -2/3 (/ b c))
(/ (+ (* -2/3 b) (* 1/2 (/ (* a c) b))) c)
(/ (+ (* -2/3 b) (* c (- (* -1 (* c (+ (* -3/4 (/ (pow a 2) (pow b 3))) (* 3/8 (/ (pow a 2) (pow b 3)))))) (* -1/2 (/ a b))))) c)
(/ (+ (* -2/3 b) (* c (- (* c (- (* -1 (* c (+ (* -3/4 (/ (* a (+ (* -3/4 (/ (pow a 2) (pow b 3))) (* 3/8 (/ (pow a 2) (pow b 3))))) (pow b 2))) (+ (* -2/9 (/ (* b (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) a)) (* 9/16 (/ (pow a 3) (pow b 5))))))) (+ (* -3/4 (/ (pow a 2) (pow b 3))) (* 3/8 (/ (pow a 2) (pow b 3)))))) (* -1/2 (/ a b))))) c)
(* -2/3 (/ b c))
(/ (+ (* -2/3 b) (* 1/2 (/ (* a c) b))) c)
(/ (+ (* -2/3 b) (* 1/2 (/ (* a c) b))) c)
(/ (+ (* -2/3 b) (* 1/2 (/ (* a c) b))) c)
(* -2/3 b)
(+ (* -2/3 b) (* 1/2 (/ (* a c) b)))
(+ (* -2/3 b) (* 1/2 (/ (* a c) b)))
(+ (* -2/3 b) (* 1/2 (/ (* a c) b)))
(* -3/2 (/ c b))
(* c (- (* -9/8 (/ (* a c) (pow b 3))) (* 3/2 (/ 1 b))))
(* c (- (* c (+ (* -27/16 (/ (* (pow a 2) c) (pow b 5))) (* -9/8 (/ a (pow b 3))))) (* 3/2 (/ 1 b))))
(* c (- (* c (+ (* -9/8 (/ a (pow b 3))) (* c (+ (* -27/16 (/ (pow a 2) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 3/2 (/ 1 b))))
(* -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))))
(/ b a)
(+ (* -3/2 (/ c b)) (/ b a))
(+ (* c (- (* -9/8 (/ (* a c) (pow b 3))) (* 3/2 (/ 1 b)))) (/ b a))
(+ (* c (- (* c (+ (* -27/16 (/ (* (pow a 2) c) (pow b 5))) (* -9/8 (/ a (pow b 3))))) (* 3/2 (/ 1 b)))) (/ b a))
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))))))))
(/ -2/3 c)
(/ (- (* 1/2 (/ (* a c) (pow b 2))) 2/3) c)
(/ (- (* c (- (* 3/8 (/ (* (pow a 2) c) (pow b 4))) (* -1/2 (/ a (pow b 2))))) 2/3) c)
(/ (- (* c (- (* 3/8 (/ (* (pow a 2) c) (pow b 4))) (* -1/2 (/ a (pow b 2))))) 2/3) c)
(/ 2/3 c)
(/ (+ 2/3 (* -1/2 (/ (* a c) (pow b 2)))) c)
(/ (+ 2/3 (* c (+ (* -1/2 (/ a (pow b 2))) (* -3/8 (/ (* (pow a 2) c) (pow b 4)))))) c)
(/ (+ 2/3 (* c (+ (* -1/2 (/ a (pow b 2))) (* -3/8 (/ (* (pow a 2) c) (pow b 4)))))) c)
(* -1/2 (/ c b))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))
(* -2/3 (/ b c))
(/ (+ (* -2/3 b) (* 1/2 (/ (* a c) b))) c)
(/ (+ (* -2/3 b) (* c (- (* -1 (* c (+ (* -3/4 (/ (pow a 2) (pow b 3))) (* 3/8 (/ (pow a 2) (pow b 3)))))) (* -1/2 (/ a b))))) c)
(/ (+ (* -2/3 b) (* c (- (* c (- (* -1 (* c (+ (* -3/4 (/ (* a (+ (* -3/4 (/ (pow a 2) (pow b 3))) (* 3/8 (/ (pow a 2) (pow b 3))))) (pow b 2))) (+ (* -2/9 (/ (* b (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) a)) (* 9/16 (/ (pow a 3) (pow b 5))))))) (+ (* -3/4 (/ (pow a 2) (pow b 3))) (* 3/8 (/ (pow a 2) (pow b 3)))))) (* -1/2 (/ a b))))) c)
(* -9/16 (/ (pow a 2) (pow b 4)))
(+ (* -135/128 (/ (* (pow a 3) c) (pow b 6))) (* -9/16 (/ (pow a 2) (pow b 4))))
(+ (* -135/128 (/ (* (pow a 3) c) (pow b 6))) (* -9/16 (/ (pow a 2) (pow b 4))))
(+ (* -135/128 (/ (* (pow a 3) c) (pow b 6))) (* -9/16 (/ (pow a 2) (pow b 4))))
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(pow b 2)
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(* -3/8 (/ (* (pow a 2) c) (pow b 4)))
(* -3/8 (/ (* (pow a 2) c) (pow b 4)))
(* -3/8 (/ (* (pow a 2) c) (pow b 4)))
(* -3/8 (/ (* (pow a 2) c) (pow b 4)))
(/ 2/3 c)
(/ 2/3 c)
(/ 2/3 c)
(/ 2/3 c)
(* -135/128 (* (pow a 3) c))
(* c (+ (* -135/128 (pow a 3)) (* -9/16 (/ (* (pow a 2) (pow b 2)) c))))
(* c (+ (* -135/128 (pow a 3)) (* -9/16 (/ (* (pow a 2) (pow b 2)) c))))
(* c (+ (* -135/128 (pow a 3)) (* -9/16 (/ (* (pow a 2) (pow b 2)) c))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 7)))
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 7))) (* -9/16 (/ (pow a 2) (* (pow b 5) c)))))
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 7))) (+ (* -9/16 (/ (pow a 2) (* (pow b 5) c))) (* -3/8 (/ a (* (pow b 3) (pow c 2)))))))
(* (pow c 4) (- (+ (* -135/128 (/ (pow a 3) (pow b 7))) (+ (* -9/16 (/ (pow a 2) (* (pow b 5) c))) (* -3/8 (/ a (* (pow b 3) (pow c 2)))))) (* 1/2 (/ 1 (* b (pow c 3))))))
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6)))
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 6))) (* -9/16 (/ (pow a 2) (* (pow b 4) c)))))
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 6))) (+ (* -9/16 (/ (pow a 2) (* (pow b 4) c))) (* -3/8 (/ a (* (pow b 2) (pow c 2)))))))
(* (pow c 4) (- (+ (* -135/128 (/ (pow a 3) (pow b 6))) (+ (* -9/16 (/ (pow a 2) (* (pow b 4) c))) (* -3/8 (/ a (* (pow b 2) (pow c 2)))))) (* 1/2 (/ 1 (pow c 3)))))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))
(* (sqrt (/ a c)) (/ 1 (sqrt -3)))
(/ (+ (* (sqrt (* a c)) (/ 1 (sqrt -3))) (/ b (pow (sqrt -3) 2))) c)
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3))))) (pow c 2))) (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (* -1 (/ b (pow (sqrt -3) 2)))) c)
(/ (- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow b 3) (pow c 2)) (* a (pow (sqrt -3) 4)))) (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3)))) (pow c 3))) (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* -1 (/ b (pow (sqrt -3) 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3))))))) c)
(* 1/2 (/ a b))
(+ (* -2/3 (/ b c)) (* 1/2 (/ a b)))
(+ (* -2/3 (/ b c)) (* 1/2 (/ a b)))
(+ (* -2/3 (/ b c)) (* 1/2 (/ a b)))
(* 1/2 (/ (* a c) b))
(* c (+ (* -2/3 (/ b c)) (* 1/2 (/ a b))))
(* c (+ (* -2/3 (/ b c)) (* 1/2 (/ a b))))
(* c (+ (* -2/3 (/ b c)) (* 1/2 (/ a b))))
(* (sqrt (/ c a)) (sqrt -3))
(* c (+ (* -1 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -3))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ 1 (* a c))) (sqrt -3))) (/ b (* a c))))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ 1 (* a c))) (sqrt -3)))) (/ b (* a c))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))
(* (sqrt (/ c a)) (sqrt -3))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ 1 (* a c))) (sqrt -3))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ 1 (* a c))) (sqrt -3)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ 1 (* a c))) (sqrt -3))))))
(* (sqrt (* a c)) (sqrt -3))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))))
(* 3/8 (/ (* (pow a 2) c) (pow b 4)))
(* c (- (* 1/2 (/ a (* (pow b 2) c))) (* -3/8 (/ (pow a 2) (pow b 4)))))
(* c (- (* -1 (/ (+ (* -1/2 (/ a (pow b 2))) (* 2/3 (/ 1 c))) c)) (* -3/8 (/ (pow a 2) (pow b 4)))))
(* c (- (* -1 (/ (+ (* -1/2 (/ a (pow b 2))) (* 2/3 (/ 1 c))) c)) (* -3/8 (/ (pow a 2) (pow b 4)))))
(* -3/8 (/ (* (pow a 2) c) (pow b 4)))
(* c (+ (* -1/2 (/ a (* (pow b 2) c))) (* -3/8 (/ (pow a 2) (pow b 4)))))
(* c (+ (* -1/2 (/ a (* (pow b 2) c))) (+ (* -3/8 (/ (pow a 2) (pow b 4))) (/ 2/3 (pow c 2)))))
(* c (+ (* -1/2 (/ a (* (pow b 2) c))) (+ (* -3/8 (/ (pow a 2) (pow b 4))) (/ 2/3 (pow c 2)))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))
(* (sqrt (/ a c)) (/ 1 (sqrt -3)))
(/ (+ (* (sqrt (* a c)) (/ 1 (sqrt -3))) (/ b (pow (sqrt -3) 2))) c)
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3))))) (pow c 2))) (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (* -1 (/ b (pow (sqrt -3) 2)))) c)
(/ (- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow b 3) (pow c 2)) (* a (pow (sqrt -3) 4)))) (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3)))) (pow c 3))) (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* -1 (/ b (pow (sqrt -3) 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3))))))) c)
(* -135/128 (/ (* (pow a 3) c) (pow b 6)))
(* c (+ (* -135/128 (/ (pow a 3) (pow b 6))) (* -9/16 (/ (pow a 2) (* (pow b 4) c)))))
(* c (+ (* -135/128 (/ (pow a 3) (pow b 6))) (* -9/16 (/ (pow a 2) (* (pow b 4) c)))))
(* c (+ (* -135/128 (/ (pow a 3) (pow b 6))) (* -9/16 (/ (pow a 2) (* (pow b 4) c)))))
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(* -3 (* a c))
(* c (+ (* -3 a) (/ (pow b 2) c)))
(* c (+ (* -3 a) (/ (pow b 2) c)))
(* c (+ (* -3 a) (/ (pow b 2) c)))
(* -3/8 (/ (* (pow a 2) c) (pow b 4)))
(* -3/8 (/ (* (pow a 2) c) (pow b 4)))
(* -3/8 (/ (* (pow a 2) c) (pow b 4)))
(* -3/8 (/ (* (pow a 2) c) (pow b 4)))
(/ 2/3 c)
(/ 2/3 c)
(/ 2/3 c)
(/ 2/3 c)
(* -135/128 (* (pow a 3) c))
(* -1 (* c (+ (* 9/16 (/ (* (pow a 2) (pow b 2)) c)) (* 135/128 (pow a 3)))))
(* -1 (* c (+ (* 9/16 (/ (* (pow a 2) (pow b 2)) c)) (* 135/128 (pow a 3)))))
(* -1 (* c (+ (* 9/16 (/ (* (pow a 2) (pow b 2)) c)) (* 135/128 (pow a 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)))))))
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 7)))
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 7))) (* -9/16 (/ (pow a 2) (* (pow b 5) c)))))
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 7))) (* -1 (/ (+ (* 3/8 (/ a (* (pow b 3) c))) (* 9/16 (/ (pow a 2) (pow b 5)))) c))))
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 7))) (* -1 (/ (+ (* -1 (/ (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))) c)) (* 9/16 (/ (pow a 2) (pow b 5)))) c))))
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6)))
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 6))) (* -9/16 (/ (pow a 2) (* (pow b 4) c)))))
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 6))) (* -1 (/ (+ (* 3/8 (/ a (* (pow b 2) c))) (* 9/16 (/ (pow a 2) (pow b 4)))) c))))
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 6))) (* -1 (/ (+ (* -1 (/ (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c))) c)) (* 9/16 (/ (pow a 2) (pow b 4)))) c))))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(/ b c)
(/ b c)
(/ b c)
(/ b c)
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(/ (* a c) b)
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(/ (* a c) b)
(/ (* a c) b)
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(/ (+ (* -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))
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(/ (+ (* -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 6))
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(* (sqrt (/ a c)) (/ 1 (sqrt -3)))
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(* (sqrt (/ a c)) (/ 1 (sqrt -3)))
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(/ (+ (* -135/128 (* (pow a 3) c)) (* -9/16 (* (pow a 2) (pow b 2)))) (pow b 6))
(/ (+ (* -135/128 (* (pow a 3) c)) (* -9/16 (* (pow a 2) (pow b 2)))) (pow b 6))
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(* -3/8 (/ a (pow b 2)))
(* -3/8 (/ a (pow b 2)))
(* -3/8 (/ a (pow b 2)))
(* -9/16 (* (pow a 2) b))
(* -9/16 (* (pow a 2) b))
(* -9/16 (* (pow a 2) b))
(* -9/16 (* (pow a 2) b))
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(* -3 (* a c))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(* -3/8 (/ (* (pow a 2) c) (pow b 4)))
(* -3/8 (/ (* (pow a 2) c) (pow b 4)))
(* -3/8 (/ (* (pow a 2) c) (pow b 4)))
(* -3/8 (/ (* (pow a 2) c) (pow b 4)))
(* -9/16 (* (pow a 2) (pow b 2)))
(* (pow b 2) (+ (* -135/128 (/ (* (pow a 3) c) (pow b 2))) (* -9/16 (pow a 2))))
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(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -1/2 (/ c b))
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))))) b)
(* -1/2 c)
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))
(+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))))
(+ (* -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))))))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(* -1/2 (/ c b))
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -2/3 (/ b c))
(* b (- (* 1/2 (/ a (pow b 2))) (* 2/3 (/ 1 c))))
(* b (- (* -1 (/ (+ (* -3/4 (* (pow a 2) c)) (* 3/8 (* (pow a 2) c))) (pow b 4))) (+ (* -1/2 (/ a (pow b 2))) (* 2/3 (/ 1 c)))))
(* b (- (* -1 (/ (+ (* -3/4 (* a (* c (+ (* -3/4 (* (pow a 2) c)) (* 3/8 (* (pow a 2) c)))))) (+ (* -2/9 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow c 2)))) (* 9/16 (* (pow a 3) (pow c 2))))) (pow b 6))) (+ (* -3/4 (/ (* (pow a 2) c) (pow b 4))) (+ (* -1/2 (/ a (pow b 2))) (+ (* 3/8 (/ (* (pow a 2) c) (pow b 4))) (* 2/3 (/ 1 c)))))))
(* -2/3 (/ b c))
(* b (- (* 1/2 (/ a (pow b 2))) (* 2/3 (/ 1 c))))
(* b (- (* 1/2 (/ a (pow b 2))) (* 2/3 (/ 1 c))))
(* b (- (* 1/2 (/ a (pow b 2))) (* 2/3 (/ 1 c))))
(* -2/3 b)
(* b (- (* 1/2 (/ (* a c) (pow b 2))) 2/3))
(* b (- (* 1/2 (/ (* a c) (pow b 2))) 2/3))
(* b (- (* 1/2 (/ (* a c) (pow b 2))) 2/3))
(* -3/2 (/ c b))
(/ (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -3/2 c) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -1/2 (/ c b))
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(/ b a)
(* b (+ (* -3/2 (/ c (pow b 2))) (/ 1 a)))
(* b (+ (* -3/2 (/ c (pow b 2))) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))
(* b (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ c (pow b 2))) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
b
(* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
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(- (* 1/2 (/ a (pow b 2))) (* 2/3 (/ 1 c)))
(- (* 3/8 (/ (* (pow a 2) c) (pow b 4))) (+ (* -1/2 (/ a (pow b 2))) (* 2/3 (/ 1 c))))
(- (* 3/8 (/ (* (pow a 2) c) (pow b 4))) (+ (* -1/2 (/ a (pow b 2))) (* 2/3 (/ 1 c))))
(/ 2/3 c)
(+ (* -1/2 (/ a (pow b 2))) (* 2/3 (/ 1 c)))
(+ (* -1/2 (/ a (pow b 2))) (+ (* -3/8 (/ (* (pow a 2) c) (pow b 4))) (* 2/3 (/ 1 c))))
(+ (* -1/2 (/ a (pow b 2))) (+ (* -3/8 (/ (* (pow a 2) c) (pow b 4))) (* 2/3 (/ 1 c))))
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(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -2/3 (/ b c))
(* b (- (* 1/2 (/ a (pow b 2))) (* 2/3 (/ 1 c))))
(* b (- (* -1 (/ (+ (* -3/4 (* (pow a 2) c)) (* 3/8 (* (pow a 2) c))) (pow b 4))) (+ (* -1/2 (/ a (pow b 2))) (* 2/3 (/ 1 c)))))
(* b (- (* -1 (/ (+ (* -3/4 (* a (* c (+ (* -3/4 (* (pow a 2) c)) (* 3/8 (* (pow a 2) c)))))) (+ (* -2/9 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow c 2)))) (* 9/16 (* (pow a 3) (pow c 2))))) (pow b 6))) (+ (* -3/4 (/ (* (pow a 2) c) (pow b 4))) (+ (* -1/2 (/ a (pow b 2))) (+ (* 3/8 (/ (* (pow a 2) c) (pow b 4))) (* 2/3 (/ 1 c)))))))
(* -9/16 (/ (pow a 2) (pow b 4)))
(/ (+ (* -135/128 (/ (* (pow a 3) c) (pow b 2))) (* -9/16 (pow a 2))) (pow b 4))
(/ (+ (* -135/128 (/ (* (pow a 3) c) (pow b 2))) (* -9/16 (pow a 2))) (pow b 4))
(/ (+ (* -135/128 (/ (* (pow a 3) c) (pow b 2))) (* -9/16 (pow a 2))) (pow b 4))
(* -3/8 (/ a (pow b 2)))
(* -3/8 (/ a (pow b 2)))
(* -3/8 (/ a (pow b 2)))
(* -3/8 (/ a (pow b 2)))
(* -9/16 (* (pow a 2) b))
(* -9/16 (* (pow a 2) b))
(* -9/16 (* (pow a 2) b))
(* -9/16 (* (pow a 2) b))
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(pow b 2)
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
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(* -3/8 (/ (* (pow a 2) c) (pow b 4)))
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(* -3/8 (/ (* (pow a 2) c) (pow b 4)))
(* -9/16 (* (pow a 2) (pow b 2)))
(* (pow b 2) (+ (* -135/128 (/ (* (pow a 3) c) (pow b 2))) (* -9/16 (pow a 2))))
(* (pow b 2) (+ (* -135/128 (/ (* (pow a 3) c) (pow b 2))) (* -9/16 (pow a 2))))
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(* -2/3 (/ b a))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))
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(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))))
(* -1/2 (/ c b))
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 c)) b))
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (+ (* 1/2 c) (* 9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))))) b))
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (+ (* 1/2 c) (+ (* 9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (* 135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6)))))) b))
(* -1/2 c)
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))
(+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))))
(+ (* -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))))))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -2/3 (/ b a))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))))
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(* -2/3 (/ b a))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))))
(* -1/2 (/ a b))
(* -1 (/ (+ (* 3/8 (/ (* (pow a 2) c) (pow b 2))) (* 1/2 a)) b))
(* -1 (/ (- (+ (* 1/2 a) (* 9/16 (/ (* (pow a 3) (pow c 2)) (pow b 4)))) (* -3/8 (/ (* (pow a 2) c) (pow b 2)))) b))
(* -1 (/ (- (+ (* -1 (/ (+ (* -27/32 (* (pow a 4) (pow c 3))) (* -27/128 (* (pow a 4) (pow c 3)))) (pow b 6))) (* 1/2 a)) (+ (* -9/16 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* -3/8 (/ (* (pow a 2) c) (pow b 2))))) b))
(* -2/3 (/ b c))
(* -1 (* b (+ (* -1/2 (/ a (pow b 2))) (* 2/3 (/ 1 c)))))
(* -1 (* b (+ (* -1/2 (/ a (pow b 2))) (* 2/3 (/ 1 c)))))
(* -1 (* b (+ (* -1/2 (/ a (pow b 2))) (* 2/3 (/ 1 c)))))
(* -2/3 b)
(* -1 (* b (+ 2/3 (* -1/2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 2/3 (* -1/2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 2/3 (* -1/2 (/ (* a c) (pow b 2))))))
(* -2 (/ b a))
(* -1 (* b (+ (* -3/2 (/ c (pow b 2))) (* 2 (/ 1 a)))))
(* -1 (* b (+ (* -3/2 (/ c (pow b 2))) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 4))) (* 2 (/ 1 a))))))
(* -1 (* b (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ c (pow b 2))) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 4))) (* 2 (/ 1 a)))))))
(* -2/3 (/ b a))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))))
(* -1 (/ b a))
(* -1 (* b (+ (* -3/2 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -3/2 (/ c (pow b 2))) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ c (pow b 2))) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(* -1 b)
(* -1 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(/ -2/3 c)
(- (* 1/2 (/ a (pow b 2))) (* 2/3 (/ 1 c)))
(- (* 3/8 (/ (* (pow a 2) c) (pow b 4))) (+ (* -1/2 (/ a (pow b 2))) (* 2/3 (/ 1 c))))
(- (* 3/8 (/ (* (pow a 2) c) (pow b 4))) (+ (* -1/2 (/ a (pow b 2))) (* 2/3 (/ 1 c))))
(/ 2/3 c)
(+ (* -1/2 (/ a (pow b 2))) (* 2/3 (/ 1 c)))
(+ (* -1/2 (/ a (pow b 2))) (+ (* -3/8 (/ (* (pow a 2) c) (pow b 4))) (* 2/3 (/ 1 c))))
(+ (* -1/2 (/ a (pow b 2))) (+ (* -3/8 (/ (* (pow a 2) c) (pow b 4))) (* 2/3 (/ 1 c))))
(* -2/3 (/ b a))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))))
(* -1/2 (/ a b))
(* -1 (/ (+ (* 3/8 (/ (* (pow a 2) c) (pow b 2))) (* 1/2 a)) b))
(* -1 (/ (- (+ (* 1/2 a) (* 9/16 (/ (* (pow a 3) (pow c 2)) (pow b 4)))) (* -3/8 (/ (* (pow a 2) c) (pow b 2)))) b))
(* -1 (/ (- (+ (* -1 (/ (+ (* -27/32 (* (pow a 4) (pow c 3))) (* -27/128 (* (pow a 4) (pow c 3)))) (pow b 6))) (* 1/2 a)) (+ (* -9/16 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* -3/8 (/ (* (pow a 2) c) (pow b 2))))) b))
(* -9/16 (/ (pow a 2) (pow b 4)))
(/ (+ (* -135/128 (/ (* (pow a 3) c) (pow b 2))) (* -9/16 (pow a 2))) (pow b 4))
(/ (+ (* -135/128 (/ (* (pow a 3) c) (pow b 2))) (* -9/16 (pow a 2))) (pow b 4))
(/ (+ (* -135/128 (/ (* (pow a 3) c) (pow b 2))) (* -9/16 (pow a 2))) (pow b 4))
(* -3/8 (/ a (pow b 2)))
(* -3/8 (/ a (pow b 2)))
(* -3/8 (/ a (pow b 2)))
(* -3/8 (/ a (pow b 2)))
(* -9/16 (* (pow a 2) b))
(* -9/16 (* (pow a 2) b))
(* -9/16 (* (pow a 2) b))
(* -9/16 (* (pow a 2) b))
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(pow b 2)
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* -3/8 (/ (* (pow a 2) c) (pow b 4)))
(* -3/8 (/ (* (pow a 2) c) (pow b 4)))
(* -3/8 (/ (* (pow a 2) c) (pow b 4)))
(* -3/8 (/ (* (pow a 2) c) (pow b 4)))
(* -9/16 (* (pow a 2) (pow b 2)))
(* (pow a 2) (+ (* -135/128 (* a c)) (* -9/16 (pow b 2))))
(* (pow a 2) (+ (* -135/128 (* a c)) (* -9/16 (pow b 2))))
(* (pow a 2) (+ (* -135/128 (* a c)) (* -9/16 (pow b 2))))
(* -1/2 (/ c b))
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))
(* -1/2 (/ c b))
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5))))))))
(* -1/2 c)
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))
(+ (* -1/2 c) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 4))) (* -3/8 (/ (pow c 2) (pow b 2))))))
(+ (* -1/2 c) (* a (+ (* -3/8 (/ (pow c 2) (pow b 2))) (* a (+ (* -135/128 (/ (* a (pow c 4)) (pow b 6))) (* -9/16 (/ (pow c 3) (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))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))
(* -1/2 (/ c b))
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))
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(* -2/3 (/ b c))
(+ (* -2/3 (/ b c)) (* 1/2 (/ a b)))
(+ (* -2/3 (/ b c)) (* a (+ (* -1 (* a (+ (* -3/4 (/ c (pow b 3))) (* 3/8 (/ c (pow b 3)))))) (* 1/2 (/ 1 b)))))
(+ (* -2/3 (/ b c)) (* a (+ (* a (- (* -1 (* a (+ (* -3/4 (/ (* c (+ (* -3/4 (/ c (pow b 3))) (* 3/8 (/ c (pow b 3))))) (pow b 2))) (+ (* -2/9 (/ (* b (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) (pow c 2))) (* 9/16 (/ (pow c 2) (pow b 5))))))) (+ (* -3/4 (/ c (pow b 3))) (* 3/8 (/ c (pow b 3)))))) (* 1/2 (/ 1 b)))))
(* -2/3 (/ b c))
(+ (* -2/3 (/ b c)) (* 1/2 (/ a b)))
(+ (* -2/3 (/ b c)) (* 1/2 (/ a b)))
(+ (* -2/3 (/ b c)) (* 1/2 (/ a b)))
(* -2/3 b)
(+ (* -2/3 b) (* 1/2 (/ (* a c) b)))
(+ (* -2/3 b) (* 1/2 (/ (* a c) b)))
(+ (* -2/3 b) (* 1/2 (/ (* a c) b)))
(* -3/2 (/ c b))
(+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))
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(* -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)))))))
(/ b a)
(/ (+ b (* -3/2 (/ (* a c) b))) a)
(/ (+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))) a)
(/ (+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))) a)
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))))))))
(/ -2/3 c)
(- (* 1/2 (/ a (pow b 2))) (* 2/3 (/ 1 c)))
(- (* a (+ (* 3/8 (/ (* a c) (pow b 4))) (* 1/2 (/ 1 (pow b 2))))) (* 2/3 (/ 1 c)))
(- (* a (+ (* 3/8 (/ (* a c) (pow b 4))) (* 1/2 (/ 1 (pow b 2))))) (* 2/3 (/ 1 c)))
(/ 2/3 c)
(+ (* -1/2 (/ a (pow b 2))) (* 2/3 (/ 1 c)))
(+ (* a (- (* -3/8 (/ (* a c) (pow b 4))) (* 1/2 (/ 1 (pow b 2))))) (* 2/3 (/ 1 c)))
(+ (* a (- (* -3/8 (/ (* a c) (pow b 4))) (* 1/2 (/ 1 (pow b 2))))) (* 2/3 (/ 1 c)))
(* -1/2 (/ c b))
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))
(* -2/3 (/ b c))
(+ (* -2/3 (/ b c)) (* 1/2 (/ a b)))
(+ (* -2/3 (/ b c)) (* a (+ (* -1 (* a (+ (* -3/4 (/ c (pow b 3))) (* 3/8 (/ c (pow b 3)))))) (* 1/2 (/ 1 b)))))
(+ (* -2/3 (/ b c)) (* a (+ (* a (- (* -1 (* a (+ (* -3/4 (/ (* c (+ (* -3/4 (/ c (pow b 3))) (* 3/8 (/ c (pow b 3))))) (pow b 2))) (+ (* -2/9 (/ (* b (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) (pow c 2))) (* 9/16 (/ (pow c 2) (pow b 5))))))) (+ (* -3/4 (/ c (pow b 3))) (* 3/8 (/ c (pow b 3)))))) (* 1/2 (/ 1 b)))))
(* -9/16 (/ (pow a 2) (pow b 4)))
(* (pow a 2) (- (* -135/128 (/ (* a c) (pow b 6))) (* 9/16 (/ 1 (pow b 4)))))
(* (pow a 2) (- (* -135/128 (/ (* a c) (pow b 6))) (* 9/16 (/ 1 (pow b 4)))))
(* (pow a 2) (- (* -135/128 (/ (* a c) (pow b 6))) (* 9/16 (/ 1 (pow b 4)))))
(* -3/8 (/ a (pow b 2)))
(* -3/8 (/ a (pow b 2)))
(* -3/8 (/ a (pow b 2)))
(* -3/8 (/ a (pow b 2)))
(* -9/16 (* (pow a 2) b))
(* -9/16 (* (pow a 2) b))
(* -9/16 (* (pow a 2) b))
(* -9/16 (* (pow a 2) b))
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(pow b 2)
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(* -3/8 (/ (* (pow a 2) c) (pow b 4)))
(* -3/8 (/ (* (pow a 2) c) (pow b 4)))
(* -3/8 (/ (* (pow a 2) c) (pow b 4)))
(* -3/8 (/ (* (pow a 2) c) (pow b 4)))
(* -135/128 (* (pow a 3) c))
(* (pow a 3) (+ (* -135/128 c) (* -9/16 (/ (pow b 2) a))))
(* (pow a 3) (+ (* -135/128 c) (* -9/16 (/ (pow b 2) a))))
(* (pow a 3) (+ (* -135/128 c) (* -9/16 (/ (pow b 2) a))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
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(+ (* -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))))))
(* -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 6)))
(* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 6))) (* -9/16 (/ (pow c 3) (* a (pow b 4))))))
(* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 6))) (+ (* -9/16 (/ (pow c 3) (* a (pow b 4)))) (* -3/8 (/ (pow c 2) (* (pow a 2) (pow b 2)))))))
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(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
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(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
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(* (sqrt (/ a c)) (/ 1 (sqrt -3)))
(+ (* (sqrt (/ a c)) (/ 1 (sqrt -3))) (/ b (* c (pow (sqrt -3) 2))))
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(* 1/2 (/ a b))
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(* a (+ (* -2/3 (/ b (* a c))) (* 1/2 (/ 1 b))))
(* a (+ (* -2/3 (/ b (* a c))) (* 1/2 (/ 1 b))))
(* 1/2 (/ (* a c) b))
(* a (+ (* -2/3 (/ b a)) (* 1/2 (/ c b))))
(* a (+ (* -2/3 (/ b a)) (* 1/2 (/ c b))))
(* a (+ (* -2/3 (/ b a)) (* 1/2 (/ c b))))
(* (sqrt (/ c a)) (sqrt -3))
(+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3)))
(- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a))
(- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
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(* (sqrt (/ c a)) (sqrt -3))
(+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -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))))
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(* (sqrt (* a c)) (sqrt -3))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))))
(* 3/8 (/ (* (pow a 2) c) (pow b 4)))
(* (pow a 2) (- (* 1/2 (/ 1 (* a (pow b 2)))) (* -3/8 (/ c (pow b 4)))))
(* (pow a 2) (- (/ 1/2 (* a (pow b 2))) (+ (* -3/8 (/ c (pow b 4))) (/ 2/3 (* (pow a 2) c)))))
(* (pow a 2) (- (/ 1/2 (* a (pow b 2))) (+ (* -3/8 (/ c (pow b 4))) (/ 2/3 (* (pow a 2) c)))))
(* -3/8 (/ (* (pow a 2) c) (pow b 4)))
(* (pow a 2) (- (* -3/8 (/ c (pow b 4))) (* 1/2 (/ 1 (* a (pow b 2))))))
(* (pow a 2) (- (+ (* -3/8 (/ c (pow b 4))) (/ 2/3 (* (pow a 2) c))) (/ 1/2 (* a (pow b 2)))))
(* (pow a 2) (- (+ (* -3/8 (/ c (pow b 4))) (/ 2/3 (* (pow a 2) c))) (/ 1/2 (* a (pow b 2)))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))
(* (sqrt (/ a c)) (/ 1 (sqrt -3)))
(+ (* (sqrt (/ a c)) (/ 1 (sqrt -3))) (/ b (* c (pow (sqrt -3) 2))))
(- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3))))) (pow a 2))) (* (sqrt (/ a c)) (/ 1 (sqrt -3)))) (* -1 (/ b (* c (pow (sqrt -3) 2)))))
(- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow a 2) (pow b 3)) (* (pow c 2) (pow (sqrt -3) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3)))) (pow a 3))) (* (sqrt (/ a c)) (/ 1 (sqrt -3)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* -1 (/ b (* c (pow (sqrt -3) 2)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))))))
(* -135/128 (/ (* (pow a 3) c) (pow b 6)))
(* (pow a 3) (- (* -135/128 (/ c (pow b 6))) (* 9/16 (/ 1 (* a (pow b 4))))))
(* (pow a 3) (- (* -135/128 (/ c (pow b 6))) (* 9/16 (/ 1 (* a (pow b 4))))))
(* (pow a 3) (- (* -135/128 (/ c (pow b 6))) (* 9/16 (/ 1 (* a (pow b 4))))))
(* -3/8 (/ a (pow b 2)))
(* -3/8 (/ a (pow b 2)))
(* -3/8 (/ a (pow b 2)))
(* -3/8 (/ a (pow b 2)))
(* -9/16 (* (pow a 2) b))
(* -9/16 (* (pow a 2) b))
(* -9/16 (* (pow a 2) b))
(* -9/16 (* (pow a 2) b))
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(* -3 (* a c))
(* a (+ (* -3 c) (/ (pow b 2) a)))
(* a (+ (* -3 c) (/ (pow b 2) a)))
(* a (+ (* -3 c) (/ (pow b 2) a)))
(* -3/8 (/ (* (pow a 2) c) (pow b 4)))
(* -3/8 (/ (* (pow a 2) c) (pow b 4)))
(* -3/8 (/ (* (pow a 2) c) (pow b 4)))
(* -3/8 (/ (* (pow a 2) c) (pow b 4)))
(* -135/128 (* (pow a 3) c))
(* -1 (* (pow a 3) (+ (* 9/16 (/ (pow b 2) a)) (* 135/128 c))))
(* -1 (* (pow a 3) (+ (* 9/16 (/ (pow b 2) a)) (* 135/128 c))))
(* -1 (* (pow a 3) (+ (* 9/16 (/ (pow b 2) a)) (* 135/128 c))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(* -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 6)))
(* -1 (* (pow a 3) (+ (* 9/16 (/ (pow c 3) (* a (pow b 4)))) (* 135/128 (/ (pow c 4) (pow b 6))))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -9/16 (/ (pow c 3) (pow b 4))) (* -3/8 (/ (pow c 2) (* a (pow b 2))))) a)) (* 135/128 (/ (pow c 4) (pow b 6))))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* 3/8 (/ (pow c 2) (pow b 2))) (* 1/2 (/ c a))) a)) (* -9/16 (/ (pow c 3) (pow b 4)))) a)) (* 135/128 (/ (pow c 4) (pow b 6))))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(* -1 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3))))
(+ (* -1 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ b (* c (pow (sqrt 3) 2)))))
(+ (* -1 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* -1 (/ (* a b) (* c (pow (sqrt 3) 2))))) a)))
(+ (* -1 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* a (pow b 3)) (* (pow c 2) (pow (sqrt 3) 4)))) (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) (sqrt 3)))) (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* -1 (/ (* a b) (* c (pow (sqrt 3) 2))))) a)))
(* 1/2 (/ a b))
(* -1 (* a (- (* 2/3 (/ b (* a c))) (* 1/2 (/ 1 b)))))
(* -1 (* a (- (* 2/3 (/ b (* a c))) (* 1/2 (/ 1 b)))))
(* -1 (* a (- (* 2/3 (/ b (* a c))) (* 1/2 (/ 1 b)))))
(* 1/2 (/ (* a c) b))
(* -1 (* a (+ (* -1/2 (/ c b)) (* 2/3 (/ b a)))))
(* -1 (* a (+ (* -1/2 (/ c b)) (* 2/3 (/ b a)))))
(* -1 (* a (+ (* -1/2 (/ c b)) (* 2/3 (/ b a)))))
(* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* -1 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (- (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* -1 b)) a)))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))))
(+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))))
(+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))))))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))
(* 3/8 (/ (* (pow a 2) c) (pow b 4)))
(* (pow a 2) (- (* 1/2 (/ 1 (* a (pow b 2)))) (* -3/8 (/ c (pow b 4)))))
(* (pow a 2) (- (* -1 (/ (- (* 2/3 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b 2)))) a)) (* -3/8 (/ c (pow b 4)))))
(* (pow a 2) (- (* -1 (/ (- (* 2/3 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b 2)))) a)) (* -3/8 (/ c (pow b 4)))))
(* -3/8 (/ (* (pow a 2) c) (pow b 4)))
(* (pow a 2) (- (* -3/8 (/ c (pow b 4))) (* 1/2 (/ 1 (* a (pow b 2))))))
(* (pow a 2) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow b 2))) (* 2/3 (/ 1 (* a c)))) a)) (* -3/8 (/ c (pow b 4)))))
(* (pow a 2) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow b 2))) (* 2/3 (/ 1 (* a c)))) a)) (* -3/8 (/ c (pow b 4)))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(* -1 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3))))
(+ (* -1 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ b (* c (pow (sqrt 3) 2)))))
(+ (* -1 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* -1 (/ (* a b) (* c (pow (sqrt 3) 2))))) a)))
(+ (* -1 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* a (pow b 3)) (* (pow c 2) (pow (sqrt 3) 4)))) (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) (sqrt 3)))) (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* -1 (/ (* a b) (* c (pow (sqrt 3) 2))))) a)))
(* -135/128 (/ (* (pow a 3) c) (pow b 6)))
(* -1 (* (pow a 3) (+ (* 135/128 (/ c (pow b 6))) (* 9/16 (/ 1 (* a (pow b 4)))))))
(* -1 (* (pow a 3) (+ (* 135/128 (/ c (pow b 6))) (* 9/16 (/ 1 (* a (pow b 4)))))))
(* -1 (* (pow a 3) (+ (* 135/128 (/ c (pow b 6))) (* 9/16 (/ 1 (* a (pow b 4)))))))
(* -3/8 (/ a (pow b 2)))
(* -3/8 (/ a (pow b 2)))
(* -3/8 (/ a (pow b 2)))
(* -3/8 (/ a (pow b 2)))
(* -9/16 (* (pow a 2) b))
(* -9/16 (* (pow a 2) b))
(* -9/16 (* (pow a 2) b))
(* -9/16 (* (pow a 2) b))
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(* -3 (* a c))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))
(* -3/8 (/ (* (pow a 2) c) (pow b 4)))
(* -3/8 (/ (* (pow a 2) c) (pow b 4)))
(* -3/8 (/ (* (pow a 2) c) (pow b 4)))
(* -3/8 (/ (* (pow a 2) c) (pow b 4)))
Outputs
(* -9/16 (* (pow a 2) (pow b 2)))
(*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 b b))
(+ (* -135/128 (* (pow a 3) c)) (* -9/16 (* (pow a 2) (pow b 2))))
(fma.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 b b) (*.f64 (*.f64 c (pow.f64 a #s(literal 3 binary64))) #s(literal -135/128 binary64)))
(+ (* -135/128 (* (pow a 3) c)) (* -9/16 (* (pow a 2) (pow b 2))))
(fma.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 b b) (*.f64 (*.f64 c (pow.f64 a #s(literal 3 binary64))) #s(literal -135/128 binary64)))
(+ (* -135/128 (* (pow a 3) c)) (* -9/16 (* (pow a 2) (pow b 2))))
(fma.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 b b) (*.f64 (*.f64 c (pow.f64 a #s(literal 3 binary64))) #s(literal -135/128 binary64)))
(* -1/2 (/ c b))
(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(*.f64 (fma.f64 (*.f64 a (/.f64 c (pow.f64 b #s(literal 3 binary64)))) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) b)) c)
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(*.f64 (fma.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 c (*.f64 a a))) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 #s(literal -1/2 binary64) b)) c)
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/6 binary64) b) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) c) a) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)
(* -1/2 (/ c b))
(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(*.f64 (fma.f64 (*.f64 a (/.f64 c (pow.f64 b #s(literal 3 binary64)))) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) b)) c)
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(*.f64 (fma.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 c (*.f64 a a))) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 #s(literal -1/2 binary64) b)) c)
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -135/128 (/ (* (pow a 3) c) (pow b 7))) (* -9/16 (/ (pow a 2) (pow b 5))))))) (* 1/2 (/ 1 b))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 c (pow.f64 b #s(literal 7 binary64)))) #s(literal -135/128 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)
(* -1/2 c)
(*.f64 #s(literal -1/2 binary64) c)
(* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2))
(*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64)) c)
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 4))) (* -3/8 (/ a (pow b 2))))) 1/2))
(*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (/.f64 a b) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 c (*.f64 a a))) (pow.f64 b #s(literal 4 binary64)))) c #s(literal -1/2 binary64)) c)
(* c (- (* c (+ (* -3/8 (/ a (pow b 2))) (* c (+ (* -135/128 (/ (* (pow a 3) c) (pow b 6))) (* -9/16 (/ (pow a 2) (pow b 4))))))) 1/2))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (/.f64 (*.f64 (*.f64 c (pow.f64 a #s(literal 3 binary64))) #s(literal -135/128 binary64)) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)
(* -1/2 (/ c b))
(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
(* -1/2 (/ c b))
(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
(* -1/2 (/ c b))
(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
(* -1/2 (/ c b))
(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
(* -1/2 (/ c b))
(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(*.f64 (fma.f64 (*.f64 a (/.f64 c (pow.f64 b #s(literal 3 binary64)))) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) b)) c)
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(*.f64 (fma.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 c (*.f64 a a))) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 #s(literal -1/2 binary64) b)) c)
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/6 binary64) b) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) c) a) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)
(/ b c)
(/.f64 b c)
(/ b c)
(/.f64 b c)
(/ b c)
(/.f64 b c)
(/ b c)
(/.f64 b c)
(* -1/2 (/ c b))
(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(*.f64 (fma.f64 (*.f64 a (/.f64 c (pow.f64 b #s(literal 3 binary64)))) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) b)) c)
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(*.f64 (fma.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 c (*.f64 a a))) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 #s(literal -1/2 binary64) b)) c)
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/6 binary64) b) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) c) a) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)
(* -2/3 (/ b c))
(*.f64 #s(literal -2/3 binary64) (/.f64 b c))
(/ (+ (* -2/3 b) (* 1/2 (/ (* a c) b))) c)
(/.f64 (fma.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64) (*.f64 #s(literal -2/3 binary64) b)) c)
(/ (+ (* -2/3 b) (* c (- (* -1 (* c (+ (* -3/4 (/ (pow a 2) (pow b 3))) (* 3/8 (/ (pow a 2) (pow b 3)))))) (* -1/2 (/ a b))))) c)
(/.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 a a)) (pow.f64 b #s(literal 3 binary64))) c (*.f64 (/.f64 a b) #s(literal 1/2 binary64))) c (*.f64 #s(literal -2/3 binary64) b)) c)
(/ (+ (* -2/3 b) (* c (- (* c (- (* -1 (* c (+ (* -3/4 (/ (* a (+ (* -3/4 (/ (pow a 2) (pow b 3))) (* 3/8 (/ (pow a 2) (pow b 3))))) (pow b 2))) (+ (* -2/9 (/ (* b (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) a)) (* 9/16 (/ (pow a 3) (pow b 5))))))) (+ (* -3/4 (/ (pow a 2) (pow b 3))) (* 3/8 (/ (pow a 2) (pow b 3)))))) (* -1/2 (/ a b))))) c)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 c) (fma.f64 (/.f64 #s(literal -3/4 binary64) b) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) a) b) (fma.f64 (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) a)) #s(literal -2/9 binary64) (/.f64 (*.f64 #s(literal 9/16 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64))))) (/.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 a a)) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 (/.f64 a b) #s(literal 1/2 binary64))) c (*.f64 #s(literal -2/3 binary64) b)) c)
(* -2/3 (/ b c))
(*.f64 #s(literal -2/3 binary64) (/.f64 b c))
(/ (+ (* -2/3 b) (* 1/2 (/ (* a c) b))) c)
(/.f64 (fma.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64) (*.f64 #s(literal -2/3 binary64) b)) c)
(/ (+ (* -2/3 b) (* 1/2 (/ (* a c) b))) c)
(/.f64 (fma.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64) (*.f64 #s(literal -2/3 binary64) b)) c)
(/ (+ (* -2/3 b) (* 1/2 (/ (* a c) b))) c)
(/.f64 (fma.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64) (*.f64 #s(literal -2/3 binary64) b)) c)
(* -2/3 b)
(*.f64 #s(literal -2/3 binary64) b)
(+ (* -2/3 b) (* 1/2 (/ (* a c) b)))
(fma.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64) (*.f64 #s(literal -2/3 binary64) b))
(+ (* -2/3 b) (* 1/2 (/ (* a c) b)))
(fma.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64) (*.f64 #s(literal -2/3 binary64) b))
(+ (* -2/3 b) (* 1/2 (/ (* a c) b)))
(fma.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64) (*.f64 #s(literal -2/3 binary64) b))
(* -3/2 (/ c b))
(*.f64 #s(literal -3/2 binary64) (/.f64 c b))
(* c (- (* -9/8 (/ (* a c) (pow b 3))) (* 3/2 (/ 1 b))))
(*.f64 (fma.f64 #s(literal -9/8 binary64) (*.f64 a (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (/.f64 #s(literal -3/2 binary64) b)) c)
(* c (- (* c (+ (* -27/16 (/ (* (pow a 2) c) (pow b 5))) (* -9/8 (/ a (pow b 3))))) (* 3/2 (/ 1 b))))
(*.f64 (fma.f64 (fma.f64 #s(literal -27/16 binary64) (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) (*.f64 #s(literal -9/8 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64))))) c (/.f64 #s(literal -3/2 binary64) b)) c)
(* c (- (* c (+ (* -9/8 (/ a (pow b 3))) (* c (+ (* -27/16 (/ (pow a 2) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 3/2 (/ 1 b))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) c) b) (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 #s(literal -9/8 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64))))) c (/.f64 #s(literal -3/2 binary64) b)) c)
(* -1/2 (/ c b))
(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(*.f64 (fma.f64 (*.f64 a (/.f64 c (pow.f64 b #s(literal 3 binary64)))) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) b)) c)
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(*.f64 (fma.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 c (*.f64 a a))) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 #s(literal -1/2 binary64) b)) c)
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/6 binary64) b) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) c) a) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)
(/ b a)
(/.f64 b a)
(+ (* -3/2 (/ c b)) (/ b a))
(fma.f64 #s(literal -3/2 binary64) (/.f64 c b) (/.f64 b a))
(+ (* c (- (* -9/8 (/ (* a c) (pow b 3))) (* 3/2 (/ 1 b)))) (/ b a))
(fma.f64 (fma.f64 #s(literal -9/8 binary64) (*.f64 a (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (/.f64 #s(literal -3/2 binary64) b)) c (/.f64 b a))
(+ (* c (- (* c (+ (* -27/16 (/ (* (pow a 2) c) (pow b 5))) (* -9/8 (/ a (pow b 3))))) (* 3/2 (/ 1 b)))) (/ b a))
(fma.f64 (fma.f64 (fma.f64 #s(literal -27/16 binary64) (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) (*.f64 #s(literal -9/8 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64))))) c (/.f64 #s(literal -3/2 binary64) b)) c (/.f64 b a))
b
(+ b (* -3/2 (/ (* a c) b)))
(fma.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)) b)
(+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))))
(fma.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 3 binary64)))) #s(literal -9/8 binary64) (*.f64 #s(literal -3/2 binary64) (/.f64 a b))) c b)
(+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -27/16 binary64) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 #s(literal -3/2 binary64) (/.f64 a b))) c b)
(/ -2/3 c)
(/.f64 #s(literal -2/3 binary64) c)
(/ (- (* 1/2 (/ (* a c) (pow b 2))) 2/3) c)
(/.f64 (fma.f64 (*.f64 a (/.f64 c b)) (/.f64 #s(literal 1/2 binary64) b) #s(literal -2/3 binary64)) c)
(/ (- (* c (- (* 3/8 (/ (* (pow a 2) c) (pow b 4))) (* -1/2 (/ a (pow b 2))))) 2/3) c)
(/.f64 (fma.f64 (fma.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 4 binary64)))) (*.f64 (/.f64 a (*.f64 b b)) #s(literal 1/2 binary64))) c #s(literal -2/3 binary64)) c)
(/ (- (* c (- (* 3/8 (/ (* (pow a 2) c) (pow b 4))) (* -1/2 (/ a (pow b 2))))) 2/3) c)
(/.f64 (fma.f64 (fma.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 4 binary64)))) (*.f64 (/.f64 a (*.f64 b b)) #s(literal 1/2 binary64))) c #s(literal -2/3 binary64)) c)
(/ 2/3 c)
(/.f64 #s(literal 2/3 binary64) c)
(/ (+ 2/3 (* -1/2 (/ (* a c) (pow b 2)))) c)
(/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) b) (*.f64 a (/.f64 c b)) #s(literal 2/3 binary64)) c)
(/ (+ 2/3 (* c (+ (* -1/2 (/ a (pow b 2))) (* -3/8 (/ (* (pow a 2) c) (pow b 4)))))) c)
(/.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 a b) (/.f64 (*.f64 (*.f64 c (*.f64 a a)) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 4 binary64)))) c #s(literal 2/3 binary64)) c)
(/ (+ 2/3 (* c (+ (* -1/2 (/ a (pow b 2))) (* -3/8 (/ (* (pow a 2) c) (pow b 4)))))) c)
(/.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 a b) (/.f64 (*.f64 (*.f64 c (*.f64 a a)) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 4 binary64)))) c #s(literal 2/3 binary64)) c)
(* -1/2 (/ c b))
(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(*.f64 (fma.f64 (*.f64 a (/.f64 c (pow.f64 b #s(literal 3 binary64)))) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) b)) c)
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(* (pow a 2) (- (* -3/8 (/ c (pow b 4))) (* 1/2 (/ 1 (* a (pow b 2))))))
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(* (pow a 2) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow b 2))) (* 2/3 (/ 1 (* a c)))) a)) (* -3/8 (/ c (pow b 4)))))
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(* (pow a 2) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow b 2))) (* 2/3 (/ 1 (* a c)))) a)) (* -3/8 (/ c (pow b 4)))))
(*.f64 (fma.f64 (/.f64 c (pow.f64 b #s(literal 4 binary64))) #s(literal -3/8 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) (*.f64 c a))) (neg.f64 a))) (*.f64 a a))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))))
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(*.f64 #s(literal -1/3 binary64) (fma.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (/.f64 b a)))
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(-.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (*.f64 #s(literal 1/3 binary64) b)) a))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 #s(literal 1/3 binary64) b (/.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 a c))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal 1/24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64))))) (neg.f64 a))) (neg.f64 a)))
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(/.f64 (*.f64 (*.f64 c (pow.f64 a #s(literal 3 binary64))) #s(literal -135/128 binary64)) (pow.f64 b #s(literal 6 binary64)))
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(*.f64 (*.f64 b (*.f64 a a)) #s(literal -9/16 binary64))
(/ (* a c) b)
(*.f64 a (/.f64 c b))
(/ (* a c) b)
(*.f64 a (/.f64 c b))
(/ (* a c) b)
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(/ (* a c) b)
(*.f64 a (/.f64 c b))
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(/.f64 (*.f64 (*.f64 c (*.f64 a a)) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 4 binary64)))
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(/.f64 (*.f64 (*.f64 c (*.f64 a a)) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 4 binary64)))
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(/.f64 (*.f64 (*.f64 c (*.f64 a a)) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 4 binary64)))
(* -3/8 (/ (* (pow a 2) c) (pow b 4)))
(/.f64 (*.f64 (*.f64 c (*.f64 a a)) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 4 binary64)))

rewrite169.0ms (1.9%)

Memory
58.2MiB live, 58.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0110703
0159693
1646678
25469673
08220655
Stop Event
iter limit
node limit
iter limit
Counts
26 → 541
Calls
Call 1
Inputs
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(/.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)))
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(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/.f64 (fma.f64 #s(literal -2/3 binary64) b (*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64))) c)))
#s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/.f64 (fma.f64 #s(literal -2/3 binary64) b (*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64))) c))
(/.f64 (fma.f64 #s(literal -2/3 binary64) b (*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64))) c)
(fma.f64 #s(literal -2/3 binary64) b (*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64)))
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 b a))
(/.f64 (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 b a)) #s(literal 3 binary64))
(/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a)
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))
(neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 a (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) c))))
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 a (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) c)))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (*.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 a (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) c)))) b)))
#s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (*.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 a (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) c)))) b))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 c (pow.f64 a #s(literal 3 binary64))) #s(literal -135/128 binary64))) (pow.f64 b #s(literal 6 binary64)))
(*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))
(*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b)
(*.f64 a (/.f64 c b))
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))
(/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 4 binary64)))
(/.f64 #s(literal 2/3 binary64) c)
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eval217.0ms (2.5%)

Memory
136.1MiB live, 136.1MiB allocated
Compiler

Compiled 40 800 to 4 881 computations (88% saved)

prune144.0ms (1.6%)

Memory
112.4MiB live, 112.4MiB allocated
Pruning

59 alts after pruning (55 fresh and 4 done)

PrunedKeptTotal
New1 378241 402
Fresh123143
Picked325
Done022
Total1 393591 452
Accuracy
99.8%
Counts
1 452 → 59
Alt Table
Click to see full alt table
StatusAccuracyProgram
20.7%
(fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 1/3 binary64) (neg.f64 (*.f64 (/.f64 b a) #s(literal 1/3 binary64))))
20.1%
(fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1/3 binary64) a) (neg.f64 (*.f64 (/.f64 b a) #s(literal 1/3 binary64))))
20.2%
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a (*.f64 (neg.f64 a) b)) (*.f64 #s(literal 3 binary64) (*.f64 a a)))
20.2%
(/.f64 (/.f64 (fma.f64 (sqrt.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -3 binary64) c) a) #s(literal 2 binary64)))) (sqrt.f64 (pow.f64 (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b)) #s(literal -1 binary64))) (neg.f64 b)) a) #s(literal 3 binary64))
19.5%
(/.f64 (/.f64 (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a) #s(literal 3 binary64))
18.9%
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 a b)) (*.f64 a #s(literal 1 binary64))) (*.f64 a (/.f64 a b))) #s(literal 3 binary64))
18.6%
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (*.f64 a b)) (*.f64 a a)) #s(literal 3 binary64))
18.9%
(/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 a (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) b)) (*.f64 (/.f64 a (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) a)) #s(literal 3 binary64))
19.5%
(/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b)) (*.f64 (*.f64 #s(literal 3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
20.1%
(/.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal 3 binary64) a) (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))
18.8%
(/.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 3 binary64)) (pow.f64 (/.f64 b a) #s(literal 3 binary64))) (*.f64 #s(literal 3 binary64) (fma.f64 (/.f64 b a) (*.f64 (pow.f64 a #s(literal -1 binary64)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (pow.f64 a #s(literal -2 binary64))))))
18.7%
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 b a) #s(literal 1/3 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (/.f64 b a) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 1/3 binary64)) (*.f64 (/.f64 b a) #s(literal 1/3 binary64))))))
18.9%
(/.f64 (-.f64 (/.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a))) a) (/.f64 b a)) #s(literal 3 binary64))
18.4%
(/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) (/.f64 b a))) #s(literal 9 binary64))
19.1%
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64)))
19.0%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
19.1%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (*.f64 b (/.f64 b a))) a)))) (*.f64 #s(literal 3 binary64) a))
20.2%
(/.f64 (*.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a (*.f64 (neg.f64 a) b)) #s(literal 1/3 binary64)) (*.f64 a a))
18.8%
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 3 binary64)) (pow.f64 (/.f64 b a) #s(literal 3 binary64))) (pow.f64 (fma.f64 (/.f64 b a) (*.f64 (pow.f64 a #s(literal -1 binary64)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (pow.f64 a #s(literal -2 binary64)))) #s(literal -1 binary64))) #s(literal 3 binary64))
19.5%
(/.f64 (*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1/3 binary64) a)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))
19.1%
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal 1/3 binary64)) a)
89.4%
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (/.f64 #s(approx (+ (* (/ -9/8 b) (/ (* (* c c) a) b)) (* -3/2 c)) (*.f64 #s(literal -3/2 binary64) c)) b)) #s(literal 3 binary64))
89.8%
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64))
89.6%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 c b) #s(literal -3/2 binary64)) a)) (*.f64 #s(literal 3 binary64) a))
19.1%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) #s(literal 3 binary64)))
95.6%
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/.f64 (fma.f64 #s(literal -2/3 binary64) b (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 c b) a))) c)) #s(literal 3 binary64)))
97.0%
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (*.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal -4 binary64))) (*.f64 c (*.f64 a a)) (fma.f64 #s(literal -1/2 binary64) (/.f64 a (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) c))) (neg.f64 b))) #s(literal 3 binary64)))
19.1%
(/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a)))
19.5%
(/.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 a (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
19.1%
(/.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a))
89.4%
(/.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (*.f64 (/.f64 b (*.f64 a c)) #s(literal -2/3 binary64))) a))
97.9%
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (fma.f64 (fma.f64 (fma.f64 (neg.f64 a) (fma.f64 (/.f64 #s(literal -3/4 binary64) b) (/.f64 (*.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) c) b) (fma.f64 (/.f64 #s(literal -2/9 binary64) c) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) b) c) (/.f64 (*.f64 #s(literal 9/16 binary64) (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))))) (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) #s(literal 3/8 binary64))) a (/.f64 #s(literal 1/2 binary64) b)) a (*.f64 (/.f64 b c) #s(literal -2/3 binary64)))))
97.3%
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (fma.f64 (fma.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) #s(literal 3/8 binary64)) a (/.f64 #s(literal 1/2 binary64) b)) a (*.f64 (/.f64 b c) #s(literal -2/3 binary64)))))
95.7%
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (fma.f64 (/.f64 b c) #s(literal -2/3 binary64) (*.f64 (/.f64 a b) #s(literal 1/2 binary64)))))
95.7%
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (fma.f64 (/.f64 a b) #s(literal 1/2 binary64) (*.f64 #s(literal -2/3 binary64) (/.f64 b c)))))
95.8%
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/.f64 (fma.f64 #s(literal -2/3 binary64) b (*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64))) c)))
95.6%
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/.f64 #s(approx (+ (* -2/3 b) (* (* a (/ c b)) 1/2)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) c (*.f64 #s(literal -2/3 binary64) (*.f64 b b))) b)) c)))
89.5%
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/.f64 #s(approx (+ (* -2/3 b) (* (* a (/ c b)) 1/2)) (*.f64 #s(literal -2/3 binary64) b)) c)))
89.5%
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (*.f64 (/.f64 b c) #s(literal -2/3 binary64))))
97.9%
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (*.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3/4 binary64) a) (*.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -3/8 binary64)) c) (fma.f64 (*.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (*.f64 c c)) (/.f64 #s(literal 405/64 binary64) a)) #s(literal -2/9 binary64) (*.f64 (*.f64 #s(literal 9/16 binary64) (pow.f64 a #s(literal 3 binary64))) (*.f64 c c)))) (neg.f64 (pow.f64 b #s(literal 6 binary64)))) (fma.f64 #s(literal -3/4 binary64) (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 4 binary64)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 a b) (fma.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 4 binary64)))) (/.f64 #s(literal 2/3 binary64) c))))) b)))
97.2%
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (*.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 c (*.f64 a a)) (*.f64 b b)) (/.f64 #s(literal -3/8 binary64) (*.f64 b b)) (fma.f64 #s(literal -1/2 binary64) (/.f64 a (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) c)))) b)))
97.0%
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (*.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 a (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 c #s(literal 3/2 binary64)))))) b)))
96.7%
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (*.f64 #s(approx (neg (+ (/ (* (* (* a a) c) -3/8) (pow b 4)) (+ (* (/ a (* b b)) -1/2) (/ 2/3 c)))) (/.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 b b) c) #s(literal -2/3 binary64) (*.f64 #s(literal 1/2 binary64) a)) (*.f64 b b) (*.f64 #s(literal 3/8 binary64) (*.f64 c (*.f64 a a)))) (pow.f64 b #s(literal 4 binary64)))) b)))
89.5%
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (*.f64 #s(approx (neg (+ (/ (* (* (* a a) c) -3/8) (pow b 4)) (+ (* (/ a (* b b)) -1/2) (/ 2/3 c)))) (/.f64 #s(literal -2/3 binary64) c)) b)))
95.6%
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) #s(approx (/ (+ (* -2/3 b) (* (* a (/ c b)) 1/2)) c) (/.f64 (fma.f64 (/.f64 (*.f64 b b) c) #s(literal -2/3 binary64) (*.f64 #s(literal 1/2 binary64) a)) b))))
18.7%
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (/.f64 b (*.f64 a #s(literal 3 binary64))))
18.8%
(-.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 1/3 binary64)) (*.f64 (/.f64 b a) #s(literal 1/3 binary64)))
19.1%
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))
19.1%
(*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 1/3 binary64)))
96.0%
#s(approx (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) b) (/.f64 (*.f64 c c) b) (*.f64 c #s(literal -1/2 binary64))) b))
97.6%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) #s(approx (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c)) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) #s(literal -1/2 binary64)) c))) b))
97.5%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 #s(approx (+ (* (/ -3/8 b) (/ a b)) (/ (* -9/16 (* (* a a) c)) (pow b 4))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) (/.f64 c b) (*.f64 #s(literal -3/8 binary64) a)) (*.f64 b b))) c #s(literal -1/2 binary64)) c)) b))
96.0%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 #s(approx (+ (* (/ -3/8 b) (/ a b)) (/ (* -9/16 (* (* a a) c)) (pow b 4))) (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b))
95.7%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) #s(approx (* (+ (* (/ -3/8 b) (* a (/ c b))) -1/2) c) (*.f64 (fma.f64 (/.f64 a b) (/.f64 #s(literal -3/8 binary64) b) (/.f64 #s(literal -1/2 binary64) c)) (*.f64 c c)))) b))
98.2%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (/ (* a a) (pow b 4)) -9/16) (/ (* -135/128 (* (pow a 3) c)) (pow b 6))) (/.f64 #s(approx (+ (* (* (* (* a a) -9/16) b) b) (* (* c (pow a 3)) -135/128)) (*.f64 (fma.f64 (*.f64 c a) #s(literal -135/128 binary64) (*.f64 (*.f64 b b) #s(literal -9/16 binary64))) (*.f64 a a))) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b))
89.6%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c)))
89.9%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
89.6%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b)))
97.6%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) b) (*.f64 (fma.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 7 binary64))) #s(literal -135/128 binary64) (/.f64 (fma.f64 #s(literal 9/16 binary64) (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) (/.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 c b))) (neg.f64 c))) (neg.f64 c))) (pow.f64 c #s(literal 4 binary64)))))
Compiler

Compiled 4 117 to 1 641 computations (60.1% saved)

regimes150.0ms (1.7%)

Memory
58.2MiB live, 58.2MiB allocated
Counts
105 → 1
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c)))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (*.f64 #s(approx (neg (+ (/ (* (* (* a a) c) -3/8) (pow b 4)) (+ (* (/ a (* b b)) -1/2) (/ 2/3 c)))) (/.f64 #s(literal -2/3 binary64) c)) b)))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (*.f64 (/.f64 b c) #s(literal -2/3 binary64))))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/.f64 #s(approx (+ (* -2/3 b) (* (* a (/ c b)) 1/2)) (*.f64 #s(literal -2/3 binary64) b)) c)))
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64))
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (/.f64 #s(approx (+ (* (/ -9/8 b) (/ (* (* c c) a) b)) (* -3/2 c)) (*.f64 #s(literal -3/2 binary64) c)) b)) #s(literal 3 binary64))
(/.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (*.f64 (/.f64 b (*.f64 a c)) #s(literal -2/3 binary64))) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 c b) #s(literal -3/2 binary64)) a)) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 #s(approx (+ (* (/ -3/8 b) (/ a b)) (/ (* -9/16 (* (* a a) c)) (pow b 4))) (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b))
(/.f64 (/.f64 #s(approx (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) a) #s(literal 3 binary64))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (fma.f64 (/.f64 a b) #s(literal 1/2 binary64) (*.f64 #s(literal -2/3 binary64) (/.f64 b c)))))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (fma.f64 (/.f64 b c) #s(literal -2/3 binary64) (*.f64 (/.f64 a b) #s(literal 1/2 binary64)))))
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a)
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal 1/3 binary64)) a)
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64)) c)) b))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) #s(approx (/ (+ (* -2/3 b) (* (* a (/ c b)) 1/2)) c) (/.f64 (fma.f64 (/.f64 (*.f64 b b) c) #s(literal -2/3 binary64) (*.f64 #s(literal 1/2 binary64) a)) b))))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/.f64 (fma.f64 #s(literal -2/3 binary64) b (*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64))) c)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
(*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 1/3 binary64)))
(/.f64 #s(literal 1/3 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)) b))
#s(approx (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) b) (/.f64 (*.f64 c c) b) (*.f64 c #s(literal -1/2 binary64))) b))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/.f64 #s(approx (+ (* -2/3 b) (* (* a (/ c b)) 1/2)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) c (*.f64 #s(literal -2/3 binary64) (*.f64 b b))) b)) c)))
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/.f64 (fma.f64 #s(literal -2/3 binary64) b (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 c b) a))) c)) #s(literal 3 binary64)))
(/.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) (*.f64 a c))) b)) a))
(/.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) #s(literal 3 binary64)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (*.f64 b (/.f64 b a))) a)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (/.f64 (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) (*.f64 #s(literal -3/2 binary64) c)) b)) #s(literal 3 binary64))
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(/.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 3 binary64)) (pow.f64 (/.f64 b a) #s(literal 3 binary64))) (*.f64 #s(literal 3 binary64) (fma.f64 (/.f64 b a) (*.f64 (pow.f64 a #s(literal -1 binary64)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (pow.f64 a #s(literal -2 binary64))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 3 binary64)) (pow.f64 (/.f64 b a) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 b a))))) #s(literal 3 binary64))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 b a) #s(literal 1/3 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (/.f64 b a) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 1/3 binary64)) (*.f64 (/.f64 b a) #s(literal 1/3 binary64))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) b) (*.f64 (fma.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 7 binary64))) #s(literal -135/128 binary64) (/.f64 (fma.f64 #s(literal 9/16 binary64) (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) (/.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 c b))) (neg.f64 c))) (neg.f64 c))) (pow.f64 c #s(literal 4 binary64)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) b) (*.f64 (fma.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 7 binary64))) #s(literal -135/128 binary64) (/.f64 (fma.f64 #s(literal 9/16 binary64) (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) (/.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (/.f64 (/.f64 #s(literal -1/2 binary64) b) c)) (neg.f64 c))) (neg.f64 c))) (pow.f64 c #s(literal 4 binary64)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal -1/6 binary64) a) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)))) b))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) c) (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -27/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 3 binary64)) (pow.f64 (/.f64 b a) #s(literal 3 binary64))) (pow.f64 (fma.f64 (/.f64 b a) (*.f64 (pow.f64 a #s(literal -1 binary64)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (pow.f64 a #s(literal -2 binary64)))) #s(literal -1 binary64))) #s(literal 3 binary64))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (fma.f64 (fma.f64 (fma.f64 (neg.f64 a) (fma.f64 (/.f64 #s(literal -3/4 binary64) b) (/.f64 (*.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) c) b) (fma.f64 (/.f64 #s(literal -2/9 binary64) c) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) b) c) (/.f64 (*.f64 #s(literal 9/16 binary64) (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))))) (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) #s(literal 3/8 binary64))) a (/.f64 #s(literal 1/2 binary64) b)) a (*.f64 (/.f64 b c) #s(literal -2/3 binary64)))))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (*.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3/4 binary64) a) (*.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -3/8 binary64)) c) (fma.f64 (*.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (*.f64 c c)) (/.f64 #s(literal 405/64 binary64) a)) #s(literal -2/9 binary64) (*.f64 (*.f64 #s(literal 9/16 binary64) (pow.f64 a #s(literal 3 binary64))) (*.f64 c c)))) (neg.f64 (pow.f64 b #s(literal 6 binary64)))) (fma.f64 #s(literal -3/4 binary64) (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 4 binary64)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 a b) (fma.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 4 binary64)))) (/.f64 #s(literal 2/3 binary64) c))))) b)))
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal -1/6 binary64) a) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)))) b))
Calls

5 calls:

29.0ms
(*.f64 #s(literal 3 binary64) a)
29.0ms
b
29.0ms
c
29.0ms
a
26.0ms
(/.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
98.3%1a
98.3%1b
98.3%1c
98.3%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))
98.3%1(*.f64 #s(literal 3 binary64) a)
Compiler

Compiled 23 to 26 computations (-13% saved)

regimes142.0ms (1.6%)

Memory
55.9MiB live, 55.9MiB allocated
Counts
100 → 1
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c)))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (*.f64 #s(approx (neg (+ (/ (* (* (* a a) c) -3/8) (pow b 4)) (+ (* (/ a (* b b)) -1/2) (/ 2/3 c)))) (/.f64 #s(literal -2/3 binary64) c)) b)))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (*.f64 (/.f64 b c) #s(literal -2/3 binary64))))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/.f64 #s(approx (+ (* -2/3 b) (* (* a (/ c b)) 1/2)) (*.f64 #s(literal -2/3 binary64) b)) c)))
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64))
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (/.f64 #s(approx (+ (* (/ -9/8 b) (/ (* (* c c) a) b)) (* -3/2 c)) (*.f64 #s(literal -3/2 binary64) c)) b)) #s(literal 3 binary64))
(/.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (*.f64 (/.f64 b (*.f64 a c)) #s(literal -2/3 binary64))) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 c b) #s(literal -3/2 binary64)) a)) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 #s(approx (+ (* (/ -3/8 b) (/ a b)) (/ (* -9/16 (* (* a a) c)) (pow b 4))) (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b))
(/.f64 (/.f64 #s(approx (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) a) #s(literal 3 binary64))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (fma.f64 (/.f64 a b) #s(literal 1/2 binary64) (*.f64 #s(literal -2/3 binary64) (/.f64 b c)))))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (fma.f64 (/.f64 b c) #s(literal -2/3 binary64) (*.f64 (/.f64 a b) #s(literal 1/2 binary64)))))
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a)
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal 1/3 binary64)) a)
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64)) c)) b))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) #s(approx (/ (+ (* -2/3 b) (* (* a (/ c b)) 1/2)) c) (/.f64 (fma.f64 (/.f64 (*.f64 b b) c) #s(literal -2/3 binary64) (*.f64 #s(literal 1/2 binary64) a)) b))))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/.f64 (fma.f64 #s(literal -2/3 binary64) b (*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64))) c)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
(*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 1/3 binary64)))
(/.f64 #s(literal 1/3 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)) b))
#s(approx (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) b) (/.f64 (*.f64 c c) b) (*.f64 c #s(literal -1/2 binary64))) b))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/.f64 #s(approx (+ (* -2/3 b) (* (* a (/ c b)) 1/2)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) c (*.f64 #s(literal -2/3 binary64) (*.f64 b b))) b)) c)))
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/.f64 (fma.f64 #s(literal -2/3 binary64) b (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 c b) a))) c)) #s(literal 3 binary64)))
(/.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) (*.f64 a c))) b)) a))
(/.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) #s(literal 3 binary64)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (*.f64 b (/.f64 b a))) a)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (/.f64 (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) (*.f64 #s(literal -3/2 binary64) c)) b)) #s(literal 3 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) #s(approx (* (+ (* (/ -3/8 b) (* a (/ c b))) -1/2) c) (*.f64 (fma.f64 (/.f64 a b) (/.f64 #s(literal -3/8 binary64) b) (/.f64 #s(literal -1/2 binary64) c)) (*.f64 c c)))) b))
(/.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (/.f64 (fma.f64 (/.f64 b a) #s(literal -2/3 binary64) (*.f64 (/.f64 c b) #s(literal 1/2 binary64))) c)) a))
(/.f64 (*.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a (*.f64 (neg.f64 a) b)) #s(literal 1/3 binary64)) (*.f64 a a))
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a (*.f64 (neg.f64 a) b)) (*.f64 #s(literal 3 binary64) (*.f64 a a)))
(-.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 1/3 binary64)) (*.f64 (/.f64 b a) #s(literal 1/3 binary64)))
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (/.f64 b (*.f64 a #s(literal 3 binary64))))
(fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1/3 binary64) a) (neg.f64 (*.f64 (/.f64 b a) #s(literal 1/3 binary64))))
(fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 1/3 binary64) (neg.f64 (*.f64 (/.f64 b a) #s(literal 1/3 binary64))))
(/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a)))
(/.f64 (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 b a)) #s(literal 3 binary64))
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (/.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 (*.f64 c c) a) b) (*.f64 #s(literal -3/2 binary64) c)) b)) #s(literal 3 binary64))
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#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) b) (*.f64 (fma.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 7 binary64))) #s(literal -135/128 binary64) (/.f64 (fma.f64 #s(literal 9/16 binary64) (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) (/.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (/.f64 (/.f64 #s(literal -1/2 binary64) b) c)) (neg.f64 c))) (neg.f64 c))) (pow.f64 c #s(literal 4 binary64)))))
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
Calls

5 calls:

28.0ms
(*.f64 #s(literal 3 binary64) a)
28.0ms
a
27.0ms
c
27.0ms
b
25.0ms
(/.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
98.3%1a
98.3%1b
98.3%1c
98.3%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))
98.3%1(*.f64 #s(literal 3 binary64) a)
Compiler

Compiled 23 to 26 computations (-13% saved)

regimes140.0ms (1.6%)

Memory
55.0MiB live, 55.0MiB allocated
Counts
98 → 1
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c)))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (*.f64 #s(approx (neg (+ (/ (* (* (* a a) c) -3/8) (pow b 4)) (+ (* (/ a (* b b)) -1/2) (/ 2/3 c)))) (/.f64 #s(literal -2/3 binary64) c)) b)))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (*.f64 (/.f64 b c) #s(literal -2/3 binary64))))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/.f64 #s(approx (+ (* -2/3 b) (* (* a (/ c b)) 1/2)) (*.f64 #s(literal -2/3 binary64) b)) c)))
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64))
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (/.f64 #s(approx (+ (* (/ -9/8 b) (/ (* (* c c) a) b)) (* -3/2 c)) (*.f64 #s(literal -3/2 binary64) c)) b)) #s(literal 3 binary64))
(/.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (*.f64 (/.f64 b (*.f64 a c)) #s(literal -2/3 binary64))) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 c b) #s(literal -3/2 binary64)) a)) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 #s(approx (+ (* (/ -3/8 b) (/ a b)) (/ (* -9/16 (* (* a a) c)) (pow b 4))) (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b))
(/.f64 (/.f64 #s(approx (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) a) #s(literal 3 binary64))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (fma.f64 (/.f64 a b) #s(literal 1/2 binary64) (*.f64 #s(literal -2/3 binary64) (/.f64 b c)))))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (fma.f64 (/.f64 b c) #s(literal -2/3 binary64) (*.f64 (/.f64 a b) #s(literal 1/2 binary64)))))
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a)
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal 1/3 binary64)) a)
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64)) c)) b))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) #s(approx (/ (+ (* -2/3 b) (* (* a (/ c b)) 1/2)) c) (/.f64 (fma.f64 (/.f64 (*.f64 b b) c) #s(literal -2/3 binary64) (*.f64 #s(literal 1/2 binary64) a)) b))))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/.f64 (fma.f64 #s(literal -2/3 binary64) b (*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64))) c)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
(*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 1/3 binary64)))
(/.f64 #s(literal 1/3 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)) b))
#s(approx (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) b) (/.f64 (*.f64 c c) b) (*.f64 c #s(literal -1/2 binary64))) b))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/.f64 #s(approx (+ (* -2/3 b) (* (* a (/ c b)) 1/2)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) c (*.f64 #s(literal -2/3 binary64) (*.f64 b b))) b)) c)))
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/.f64 (fma.f64 #s(literal -2/3 binary64) b (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 c b) a))) c)) #s(literal 3 binary64)))
(/.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) (*.f64 a c))) b)) a))
(/.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) #s(literal 3 binary64)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (*.f64 b (/.f64 b a))) a)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (/.f64 (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) (*.f64 #s(literal -3/2 binary64) c)) b)) #s(literal 3 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) #s(approx (* (+ (* (/ -3/8 b) (* a (/ c b))) -1/2) c) (*.f64 (fma.f64 (/.f64 a b) (/.f64 #s(literal -3/8 binary64) b) (/.f64 #s(literal -1/2 binary64) c)) (*.f64 c c)))) b))
(/.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (/.f64 (fma.f64 (/.f64 b a) #s(literal -2/3 binary64) (*.f64 (/.f64 c b) #s(literal 1/2 binary64))) c)) a))
(/.f64 (*.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a (*.f64 (neg.f64 a) b)) #s(literal 1/3 binary64)) (*.f64 a a))
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a (*.f64 (neg.f64 a) b)) (*.f64 #s(literal 3 binary64) (*.f64 a a)))
(-.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 1/3 binary64)) (*.f64 (/.f64 b a) #s(literal 1/3 binary64)))
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (/.f64 b (*.f64 a #s(literal 3 binary64))))
(fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1/3 binary64) a) (neg.f64 (*.f64 (/.f64 b a) #s(literal 1/3 binary64))))
(fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 1/3 binary64) (neg.f64 (*.f64 (/.f64 b a) #s(literal 1/3 binary64))))
(/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a)))
(/.f64 (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 b a)) #s(literal 3 binary64))
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (/.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 (*.f64 c c) a) b) (*.f64 #s(literal -3/2 binary64) c)) b)) #s(literal 3 binary64))
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (*.f64 a b)) (*.f64 a a)) #s(literal 3 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) (/.f64 b a))) #s(literal 9 binary64))
(-.f64 (/.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 3 binary64)) (/.f64 (/.f64 b a) #s(literal 3 binary64)))
(/.f64 (-.f64 (/.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a))) a) (/.f64 b a)) #s(literal 3 binary64))
(/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b)) (*.f64 (*.f64 #s(literal 3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
(/.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 a (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 c c) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b)) (*.f64 a (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) #s(literal 3 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 #s(approx (+ (* (/ -3/8 b) (/ a b)) (/ (* -9/16 (* (* a a) c)) (pow b 4))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) (/.f64 c b) (*.f64 #s(literal -3/8 binary64) a)) (*.f64 b b))) c #s(literal -1/2 binary64)) c)) b))
(/.f64 (*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1/3 binary64) a)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))
(/.f64 (/.f64 (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a) #s(literal 3 binary64))
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 a b)) (*.f64 a #s(literal 1 binary64))) (*.f64 a (/.f64 a b))) #s(literal 3 binary64))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (*.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 c (*.f64 a a)) (*.f64 b b)) (/.f64 #s(literal -3/8 binary64) (*.f64 b b)) (fma.f64 #s(literal -1/2 binary64) (/.f64 a (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) c)))) b)))
(/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 a (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) b)) (*.f64 (/.f64 a (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) a)) #s(literal 3 binary64))
(/.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (/.f64 (*.f64 b b) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) a) #s(literal 3 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) c (/.f64 #s(literal -1/2 binary64) b)) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
(*.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) #s(literal -1 binary64)))
(/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) a))
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)))
(/.f64 (pow.f64 a #s(literal -1 binary64)) (/.f64 #s(literal -3 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (pow.f64 a #s(literal -1 binary64)) (neg.f64 (/.f64 b a))) #s(literal 3 binary64))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 c #s(literal -9/8 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (fma.f64 (fma.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) #s(literal 3/8 binary64)) a (/.f64 #s(literal 1/2 binary64) b)) a (*.f64 (/.f64 b c) #s(literal -2/3 binary64)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (/.f64 a b) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 4 binary64)))) c #s(literal -1/2 binary64)) c)) b))
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (*.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal -4 binary64))) (*.f64 c (*.f64 a a)) (fma.f64 #s(literal -1/2 binary64) (/.f64 a (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) c))) (neg.f64 b))) #s(literal 3 binary64)))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (*.f64 #s(approx (neg (+ (/ (* (* (* a a) c) -3/8) (pow b 4)) (+ (* (/ a (* b b)) -1/2) (/ 2/3 c)))) (/.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 b b) c) #s(literal -2/3 binary64) (*.f64 #s(literal 1/2 binary64) a)) (*.f64 b b) (*.f64 #s(literal 3/8 binary64) (*.f64 c (*.f64 a a)))) (pow.f64 b #s(literal 4 binary64)))) b)))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (*.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 a (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) c)))) b)))
(/.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 3/8 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal 1/2 binary64) b)) c (*.f64 (/.f64 b a) #s(literal -2/3 binary64))) c)) a))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (*.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 a (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 c #s(literal 3/2 binary64)))))) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) #s(approx (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c)) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) #s(literal -1/2 binary64)) c))) b))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (pow.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) #s(literal -1 binary64)))))) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (/ (* a a) (pow b 4)) -9/16) (/ (* -135/128 (* (pow a 3) c)) (pow b 6))) (/.f64 #s(approx (+ (* (* (* (* a a) -9/16) b) b) (* (* c (pow a 3)) -135/128)) (*.f64 (fma.f64 (*.f64 c a) #s(literal -135/128 binary64) (*.f64 (*.f64 b b) #s(literal -9/16 binary64))) (*.f64 a a))) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (exp.f64 (log.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) #s(literal -1 binary64)))) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(approx (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c))) (*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64)) c))) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (*.f64 #s(literal -1/2 binary64) c))) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (/ (* a a) (pow b 4)) -9/16) (/ (* -135/128 (* (pow a 3) c)) (pow b 6))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 c (pow.f64 a #s(literal 3 binary64))) #s(literal -135/128 binary64))) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b))
(/.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal 3 binary64) a) (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) (/.f64 b (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (neg.f64 (/.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal 3 binary64))) #s(literal 2 binary64)) (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))))))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) b) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 b b))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 (-.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) a) #s(literal 3 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (*.f64 a #s(literal -9/16 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
(/.f64 (/.f64 (fma.f64 (sqrt.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -3 binary64) c) a) #s(literal 2 binary64)))) (sqrt.f64 (pow.f64 (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b)) #s(literal -1 binary64))) (neg.f64 b)) a) #s(literal 3 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b))
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 405/64 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 c b)) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c))
(/.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 3 binary64)) (pow.f64 (/.f64 b a) #s(literal 3 binary64))) (*.f64 #s(literal 3 binary64) (fma.f64 (/.f64 b a) (*.f64 (pow.f64 a #s(literal -1 binary64)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (pow.f64 a #s(literal -2 binary64))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 3 binary64)) (pow.f64 (/.f64 b a) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 b a))))) #s(literal 3 binary64))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 b a) #s(literal 1/3 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (/.f64 b a) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 1/3 binary64)) (*.f64 (/.f64 b a) #s(literal 1/3 binary64))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) b) (*.f64 (fma.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 7 binary64))) #s(literal -135/128 binary64) (/.f64 (fma.f64 #s(literal 9/16 binary64) (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) (/.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 c b))) (neg.f64 c))) (neg.f64 c))) (pow.f64 c #s(literal 4 binary64)))))
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (/ (* a a) (pow b 4)) -9/16) (/ (* -135/128 (* (pow a 3) c)) (pow b 6))) (/.f64 #s(approx (+ (* (* (* (* a a) -9/16) b) b) (* (* c (pow a 3)) -135/128)) (*.f64 (fma.f64 (*.f64 c a) #s(literal -135/128 binary64) (*.f64 (*.f64 b b) #s(literal -9/16 binary64))) (*.f64 a a))) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b))
Calls

5 calls:

27.0ms
(*.f64 #s(literal 3 binary64) a)
27.0ms
c
27.0ms
b
27.0ms
a
25.0ms
(/.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
98.2%1a
98.2%1b
98.2%1c
98.2%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))
98.2%1(*.f64 #s(literal 3 binary64) a)
Compiler

Compiled 23 to 26 computations (-13% saved)

regimes112.0ms (1.3%)

Memory
45.0MiB live, 45.0MiB allocated
Counts
78 → 1
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c)))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (*.f64 #s(approx (neg (+ (/ (* (* (* a a) c) -3/8) (pow b 4)) (+ (* (/ a (* b b)) -1/2) (/ 2/3 c)))) (/.f64 #s(literal -2/3 binary64) c)) b)))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (*.f64 (/.f64 b c) #s(literal -2/3 binary64))))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/.f64 #s(approx (+ (* -2/3 b) (* (* a (/ c b)) 1/2)) (*.f64 #s(literal -2/3 binary64) b)) c)))
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64))
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (/.f64 #s(approx (+ (* (/ -9/8 b) (/ (* (* c c) a) b)) (* -3/2 c)) (*.f64 #s(literal -3/2 binary64) c)) b)) #s(literal 3 binary64))
(/.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (*.f64 (/.f64 b (*.f64 a c)) #s(literal -2/3 binary64))) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 c b) #s(literal -3/2 binary64)) a)) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 #s(approx (+ (* (/ -3/8 b) (/ a b)) (/ (* -9/16 (* (* a a) c)) (pow b 4))) (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b))
(/.f64 (/.f64 #s(approx (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) a) #s(literal 3 binary64))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (fma.f64 (/.f64 a b) #s(literal 1/2 binary64) (*.f64 #s(literal -2/3 binary64) (/.f64 b c)))))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (fma.f64 (/.f64 b c) #s(literal -2/3 binary64) (*.f64 (/.f64 a b) #s(literal 1/2 binary64)))))
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a)
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal 1/3 binary64)) a)
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64)) c)) b))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) #s(approx (/ (+ (* -2/3 b) (* (* a (/ c b)) 1/2)) c) (/.f64 (fma.f64 (/.f64 (*.f64 b b) c) #s(literal -2/3 binary64) (*.f64 #s(literal 1/2 binary64) a)) b))))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/.f64 (fma.f64 #s(literal -2/3 binary64) b (*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64))) c)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
(*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 1/3 binary64)))
(/.f64 #s(literal 1/3 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)) b))
#s(approx (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) b) (/.f64 (*.f64 c c) b) (*.f64 c #s(literal -1/2 binary64))) b))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/.f64 #s(approx (+ (* -2/3 b) (* (* a (/ c b)) 1/2)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) c (*.f64 #s(literal -2/3 binary64) (*.f64 b b))) b)) c)))
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/.f64 (fma.f64 #s(literal -2/3 binary64) b (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 c b) a))) c)) #s(literal 3 binary64)))
(/.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) (*.f64 a c))) b)) a))
(/.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) #s(literal 3 binary64)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (*.f64 b (/.f64 b a))) a)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (/.f64 (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) (*.f64 #s(literal -3/2 binary64) c)) b)) #s(literal 3 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) #s(approx (* (+ (* (/ -3/8 b) (* a (/ c b))) -1/2) c) (*.f64 (fma.f64 (/.f64 a b) (/.f64 #s(literal -3/8 binary64) b) (/.f64 #s(literal -1/2 binary64) c)) (*.f64 c c)))) b))
(/.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (/.f64 (fma.f64 (/.f64 b a) #s(literal -2/3 binary64) (*.f64 (/.f64 c b) #s(literal 1/2 binary64))) c)) a))
(/.f64 (*.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a (*.f64 (neg.f64 a) b)) #s(literal 1/3 binary64)) (*.f64 a a))
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a (*.f64 (neg.f64 a) b)) (*.f64 #s(literal 3 binary64) (*.f64 a a)))
(-.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 1/3 binary64)) (*.f64 (/.f64 b a) #s(literal 1/3 binary64)))
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (/.f64 b (*.f64 a #s(literal 3 binary64))))
(fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1/3 binary64) a) (neg.f64 (*.f64 (/.f64 b a) #s(literal 1/3 binary64))))
(fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 1/3 binary64) (neg.f64 (*.f64 (/.f64 b a) #s(literal 1/3 binary64))))
(/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a)))
(/.f64 (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 b a)) #s(literal 3 binary64))
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (/.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 (*.f64 c c) a) b) (*.f64 #s(literal -3/2 binary64) c)) b)) #s(literal 3 binary64))
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (*.f64 a b)) (*.f64 a a)) #s(literal 3 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) (/.f64 b a))) #s(literal 9 binary64))
(-.f64 (/.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 3 binary64)) (/.f64 (/.f64 b a) #s(literal 3 binary64)))
(/.f64 (-.f64 (/.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a))) a) (/.f64 b a)) #s(literal 3 binary64))
(/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b)) (*.f64 (*.f64 #s(literal 3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
(/.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 a (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 c c) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b)) (*.f64 a (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) #s(literal 3 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 #s(approx (+ (* (/ -3/8 b) (/ a b)) (/ (* -9/16 (* (* a a) c)) (pow b 4))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) (/.f64 c b) (*.f64 #s(literal -3/8 binary64) a)) (*.f64 b b))) c #s(literal -1/2 binary64)) c)) b))
(/.f64 (*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1/3 binary64) a)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))
(/.f64 (/.f64 (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a) #s(literal 3 binary64))
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 a b)) (*.f64 a #s(literal 1 binary64))) (*.f64 a (/.f64 a b))) #s(literal 3 binary64))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (*.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 c (*.f64 a a)) (*.f64 b b)) (/.f64 #s(literal -3/8 binary64) (*.f64 b b)) (fma.f64 #s(literal -1/2 binary64) (/.f64 a (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) c)))) b)))
(/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 a (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) b)) (*.f64 (/.f64 a (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) a)) #s(literal 3 binary64))
(/.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (/.f64 (*.f64 b b) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) a) #s(literal 3 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) c (/.f64 #s(literal -1/2 binary64) b)) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
(*.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) #s(literal -1 binary64)))
(/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) a))
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)))
(/.f64 (pow.f64 a #s(literal -1 binary64)) (/.f64 #s(literal -3 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (pow.f64 a #s(literal -1 binary64)) (neg.f64 (/.f64 b a))) #s(literal 3 binary64))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 c #s(literal -9/8 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (fma.f64 (fma.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) #s(literal 3/8 binary64)) a (/.f64 #s(literal 1/2 binary64) b)) a (*.f64 (/.f64 b c) #s(literal -2/3 binary64)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (/.f64 a b) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 4 binary64)))) c #s(literal -1/2 binary64)) c)) b))
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (*.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal -4 binary64))) (*.f64 c (*.f64 a a)) (fma.f64 #s(literal -1/2 binary64) (/.f64 a (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) c))) (neg.f64 b))) #s(literal 3 binary64)))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (*.f64 #s(approx (neg (+ (/ (* (* (* a a) c) -3/8) (pow b 4)) (+ (* (/ a (* b b)) -1/2) (/ 2/3 c)))) (/.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 b b) c) #s(literal -2/3 binary64) (*.f64 #s(literal 1/2 binary64) a)) (*.f64 b b) (*.f64 #s(literal 3/8 binary64) (*.f64 c (*.f64 a a)))) (pow.f64 b #s(literal 4 binary64)))) b)))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (*.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 a (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) c)))) b)))
(/.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 3/8 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal 1/2 binary64) b)) c (*.f64 (/.f64 b a) #s(literal -2/3 binary64))) c)) a))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (*.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 a (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 c #s(literal 3/2 binary64)))))) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) #s(approx (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c)) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) #s(literal -1/2 binary64)) c))) b))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (pow.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) #s(literal -1 binary64)))))) (*.f64 #s(literal 3 binary64) a))
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) #s(approx (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c)) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) #s(literal -1/2 binary64)) c))) b))
Calls

5 calls:

22.0ms
(*.f64 #s(literal 3 binary64) a)
22.0ms
a
22.0ms
c
22.0ms
b
20.0ms
(/.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
97.6%1a
97.6%1b
97.6%1c
97.6%1(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
97.6%1(*.f64 #s(literal 3 binary64) a)
Compiler

Compiled 23 to 26 computations (-13% saved)

regimes109.0ms (1.2%)

Memory
44.1MiB live, 44.1MiB allocated
Counts
76 → 1
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c)))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (*.f64 #s(approx (neg (+ (/ (* (* (* a a) c) -3/8) (pow b 4)) (+ (* (/ a (* b b)) -1/2) (/ 2/3 c)))) (/.f64 #s(literal -2/3 binary64) c)) b)))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (*.f64 (/.f64 b c) #s(literal -2/3 binary64))))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/.f64 #s(approx (+ (* -2/3 b) (* (* a (/ c b)) 1/2)) (*.f64 #s(literal -2/3 binary64) b)) c)))
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64))
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (/.f64 #s(approx (+ (* (/ -9/8 b) (/ (* (* c c) a) b)) (* -3/2 c)) (*.f64 #s(literal -3/2 binary64) c)) b)) #s(literal 3 binary64))
(/.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (*.f64 (/.f64 b (*.f64 a c)) #s(literal -2/3 binary64))) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 c b) #s(literal -3/2 binary64)) a)) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 #s(approx (+ (* (/ -3/8 b) (/ a b)) (/ (* -9/16 (* (* a a) c)) (pow b 4))) (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b))
(/.f64 (/.f64 #s(approx (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) a) #s(literal 3 binary64))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (fma.f64 (/.f64 a b) #s(literal 1/2 binary64) (*.f64 #s(literal -2/3 binary64) (/.f64 b c)))))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (fma.f64 (/.f64 b c) #s(literal -2/3 binary64) (*.f64 (/.f64 a b) #s(literal 1/2 binary64)))))
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a)
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal 1/3 binary64)) a)
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64)) c)) b))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) #s(approx (/ (+ (* -2/3 b) (* (* a (/ c b)) 1/2)) c) (/.f64 (fma.f64 (/.f64 (*.f64 b b) c) #s(literal -2/3 binary64) (*.f64 #s(literal 1/2 binary64) a)) b))))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/.f64 (fma.f64 #s(literal -2/3 binary64) b (*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64))) c)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
(*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 1/3 binary64)))
(/.f64 #s(literal 1/3 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)) b))
#s(approx (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) b) (/.f64 (*.f64 c c) b) (*.f64 c #s(literal -1/2 binary64))) b))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/.f64 #s(approx (+ (* -2/3 b) (* (* a (/ c b)) 1/2)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) c (*.f64 #s(literal -2/3 binary64) (*.f64 b b))) b)) c)))
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/.f64 (fma.f64 #s(literal -2/3 binary64) b (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 c b) a))) c)) #s(literal 3 binary64)))
(/.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) (*.f64 a c))) b)) a))
(/.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) #s(literal 3 binary64)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (*.f64 b (/.f64 b a))) a)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (/.f64 (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) (*.f64 #s(literal -3/2 binary64) c)) b)) #s(literal 3 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) #s(approx (* (+ (* (/ -3/8 b) (* a (/ c b))) -1/2) c) (*.f64 (fma.f64 (/.f64 a b) (/.f64 #s(literal -3/8 binary64) b) (/.f64 #s(literal -1/2 binary64) c)) (*.f64 c c)))) b))
(/.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (/.f64 (fma.f64 (/.f64 b a) #s(literal -2/3 binary64) (*.f64 (/.f64 c b) #s(literal 1/2 binary64))) c)) a))
(/.f64 (*.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a (*.f64 (neg.f64 a) b)) #s(literal 1/3 binary64)) (*.f64 a a))
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a (*.f64 (neg.f64 a) b)) (*.f64 #s(literal 3 binary64) (*.f64 a a)))
(-.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 1/3 binary64)) (*.f64 (/.f64 b a) #s(literal 1/3 binary64)))
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (/.f64 b (*.f64 a #s(literal 3 binary64))))
(fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1/3 binary64) a) (neg.f64 (*.f64 (/.f64 b a) #s(literal 1/3 binary64))))
(fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 1/3 binary64) (neg.f64 (*.f64 (/.f64 b a) #s(literal 1/3 binary64))))
(/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a)))
(/.f64 (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 b a)) #s(literal 3 binary64))
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (/.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 (*.f64 c c) a) b) (*.f64 #s(literal -3/2 binary64) c)) b)) #s(literal 3 binary64))
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (*.f64 a b)) (*.f64 a a)) #s(literal 3 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) (/.f64 b a))) #s(literal 9 binary64))
(-.f64 (/.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 3 binary64)) (/.f64 (/.f64 b a) #s(literal 3 binary64)))
(/.f64 (-.f64 (/.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a))) a) (/.f64 b a)) #s(literal 3 binary64))
(/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b)) (*.f64 (*.f64 #s(literal 3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
(/.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 a (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 c c) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b)) (*.f64 a (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) #s(literal 3 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 #s(approx (+ (* (/ -3/8 b) (/ a b)) (/ (* -9/16 (* (* a a) c)) (pow b 4))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) (/.f64 c b) (*.f64 #s(literal -3/8 binary64) a)) (*.f64 b b))) c #s(literal -1/2 binary64)) c)) b))
(/.f64 (*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1/3 binary64) a)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))
(/.f64 (/.f64 (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a) #s(literal 3 binary64))
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 a b)) (*.f64 a #s(literal 1 binary64))) (*.f64 a (/.f64 a b))) #s(literal 3 binary64))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (*.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 c (*.f64 a a)) (*.f64 b b)) (/.f64 #s(literal -3/8 binary64) (*.f64 b b)) (fma.f64 #s(literal -1/2 binary64) (/.f64 a (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) c)))) b)))
(/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 a (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) b)) (*.f64 (/.f64 a (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) a)) #s(literal 3 binary64))
(/.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (/.f64 (*.f64 b b) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) a) #s(literal 3 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) c (/.f64 #s(literal -1/2 binary64) b)) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
(*.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) #s(literal -1 binary64)))
(/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) a))
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)))
(/.f64 (pow.f64 a #s(literal -1 binary64)) (/.f64 #s(literal -3 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (pow.f64 a #s(literal -1 binary64)) (neg.f64 (/.f64 b a))) #s(literal 3 binary64))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 c #s(literal -9/8 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (fma.f64 (fma.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) #s(literal 3/8 binary64)) a (/.f64 #s(literal 1/2 binary64) b)) a (*.f64 (/.f64 b c) #s(literal -2/3 binary64)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (/.f64 a b) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 4 binary64)))) c #s(literal -1/2 binary64)) c)) b))
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (*.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal -4 binary64))) (*.f64 c (*.f64 a a)) (fma.f64 #s(literal -1/2 binary64) (/.f64 a (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) c))) (neg.f64 b))) #s(literal 3 binary64)))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (*.f64 #s(approx (neg (+ (/ (* (* (* a a) c) -3/8) (pow b 4)) (+ (* (/ a (* b b)) -1/2) (/ 2/3 c)))) (/.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 b b) c) #s(literal -2/3 binary64) (*.f64 #s(literal 1/2 binary64) a)) (*.f64 b b) (*.f64 #s(literal 3/8 binary64) (*.f64 c (*.f64 a a)))) (pow.f64 b #s(literal 4 binary64)))) b)))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (*.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 a (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) c)))) b)))
(/.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 3/8 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal 1/2 binary64) b)) c (*.f64 (/.f64 b a) #s(literal -2/3 binary64))) c)) a))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (*.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 a (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 c #s(literal 3/2 binary64)))))) b)))
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 #s(approx (+ (* (/ -3/8 b) (/ a b)) (/ (* -9/16 (* (* a a) c)) (pow b 4))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) (/.f64 c b) (*.f64 #s(literal -3/8 binary64) a)) (*.f64 b b))) c #s(literal -1/2 binary64)) c)) b))
Calls

5 calls:

21.0ms
b
21.0ms
(*.f64 #s(literal 3 binary64) a)
21.0ms
a
21.0ms
c
19.0ms
(/.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
97.5%1a
97.5%1c
97.5%1(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
97.5%1(*.f64 #s(literal 3 binary64) a)
97.5%1b
Compiler

Compiled 23 to 26 computations (-13% saved)

regimes80.0ms (0.9%)

Memory
33.4MiB live, 33.4MiB allocated
Counts
54 → 1
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c)))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (*.f64 #s(approx (neg (+ (/ (* (* (* a a) c) -3/8) (pow b 4)) (+ (* (/ a (* b b)) -1/2) (/ 2/3 c)))) (/.f64 #s(literal -2/3 binary64) c)) b)))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (*.f64 (/.f64 b c) #s(literal -2/3 binary64))))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/.f64 #s(approx (+ (* -2/3 b) (* (* a (/ c b)) 1/2)) (*.f64 #s(literal -2/3 binary64) b)) c)))
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64))
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (/.f64 #s(approx (+ (* (/ -9/8 b) (/ (* (* c c) a) b)) (* -3/2 c)) (*.f64 #s(literal -3/2 binary64) c)) b)) #s(literal 3 binary64))
(/.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (*.f64 (/.f64 b (*.f64 a c)) #s(literal -2/3 binary64))) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 c b) #s(literal -3/2 binary64)) a)) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 #s(approx (+ (* (/ -3/8 b) (/ a b)) (/ (* -9/16 (* (* a a) c)) (pow b 4))) (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b))
(/.f64 (/.f64 #s(approx (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) a) #s(literal 3 binary64))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (fma.f64 (/.f64 a b) #s(literal 1/2 binary64) (*.f64 #s(literal -2/3 binary64) (/.f64 b c)))))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (fma.f64 (/.f64 b c) #s(literal -2/3 binary64) (*.f64 (/.f64 a b) #s(literal 1/2 binary64)))))
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a)
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal 1/3 binary64)) a)
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64)) c)) b))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) #s(approx (/ (+ (* -2/3 b) (* (* a (/ c b)) 1/2)) c) (/.f64 (fma.f64 (/.f64 (*.f64 b b) c) #s(literal -2/3 binary64) (*.f64 #s(literal 1/2 binary64) a)) b))))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/.f64 (fma.f64 #s(literal -2/3 binary64) b (*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64))) c)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
(*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 1/3 binary64)))
(/.f64 #s(literal 1/3 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)) b))
#s(approx (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) b) (/.f64 (*.f64 c c) b) (*.f64 c #s(literal -1/2 binary64))) b))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/.f64 #s(approx (+ (* -2/3 b) (* (* a (/ c b)) 1/2)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) c (*.f64 #s(literal -2/3 binary64) (*.f64 b b))) b)) c)))
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/.f64 (fma.f64 #s(literal -2/3 binary64) b (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 c b) a))) c)) #s(literal 3 binary64)))
(/.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) (*.f64 a c))) b)) a))
(/.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) #s(literal 3 binary64)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (*.f64 b (/.f64 b a))) a)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (/.f64 (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) (*.f64 #s(literal -3/2 binary64) c)) b)) #s(literal 3 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) #s(approx (* (+ (* (/ -3/8 b) (* a (/ c b))) -1/2) c) (*.f64 (fma.f64 (/.f64 a b) (/.f64 #s(literal -3/8 binary64) b) (/.f64 #s(literal -1/2 binary64) c)) (*.f64 c c)))) b))
(/.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (/.f64 (fma.f64 (/.f64 b a) #s(literal -2/3 binary64) (*.f64 (/.f64 c b) #s(literal 1/2 binary64))) c)) a))
(/.f64 (*.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a (*.f64 (neg.f64 a) b)) #s(literal 1/3 binary64)) (*.f64 a a))
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a (*.f64 (neg.f64 a) b)) (*.f64 #s(literal 3 binary64) (*.f64 a a)))
(-.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 1/3 binary64)) (*.f64 (/.f64 b a) #s(literal 1/3 binary64)))
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (/.f64 b (*.f64 a #s(literal 3 binary64))))
(fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1/3 binary64) a) (neg.f64 (*.f64 (/.f64 b a) #s(literal 1/3 binary64))))
(fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 1/3 binary64) (neg.f64 (*.f64 (/.f64 b a) #s(literal 1/3 binary64))))
(/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a)))
(/.f64 (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 b a)) #s(literal 3 binary64))
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (/.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 (*.f64 c c) a) b) (*.f64 #s(literal -3/2 binary64) c)) b)) #s(literal 3 binary64))
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (*.f64 a b)) (*.f64 a a)) #s(literal 3 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) (/.f64 b a))) #s(literal 9 binary64))
(-.f64 (/.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 3 binary64)) (/.f64 (/.f64 b a) #s(literal 3 binary64)))
(/.f64 (-.f64 (/.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a))) a) (/.f64 b a)) #s(literal 3 binary64))
(/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b)) (*.f64 (*.f64 #s(literal 3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
(/.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 a (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 c c) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b)) (*.f64 a (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) #s(literal 3 binary64))
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)) b))
Calls

5 calls:

16.0ms
(*.f64 #s(literal 3 binary64) a)
16.0ms
b
16.0ms
c
15.0ms
a
14.0ms
(/.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
96.0%1a
96.0%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))
96.0%1(*.f64 #s(literal 3 binary64) a)
96.0%1b
96.0%1c
Compiler

Compiled 23 to 26 computations (-13% saved)

regimes43.0ms (0.5%)

Memory
19.3MiB live, 19.3MiB allocated
Counts
26 → 1
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c)))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (*.f64 #s(approx (neg (+ (/ (* (* (* a a) c) -3/8) (pow b 4)) (+ (* (/ a (* b b)) -1/2) (/ 2/3 c)))) (/.f64 #s(literal -2/3 binary64) c)) b)))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (*.f64 (/.f64 b c) #s(literal -2/3 binary64))))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/.f64 #s(approx (+ (* -2/3 b) (* (* a (/ c b)) 1/2)) (*.f64 #s(literal -2/3 binary64) b)) c)))
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64))
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (/.f64 #s(approx (+ (* (/ -9/8 b) (/ (* (* c c) a) b)) (* -3/2 c)) (*.f64 #s(literal -3/2 binary64) c)) b)) #s(literal 3 binary64))
(/.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (*.f64 (/.f64 b (*.f64 a c)) #s(literal -2/3 binary64))) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 c b) #s(literal -3/2 binary64)) a)) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 #s(approx (+ (* (/ -3/8 b) (/ a b)) (/ (* -9/16 (* (* a a) c)) (pow b 4))) (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b))
(/.f64 (/.f64 #s(approx (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) a) #s(literal 3 binary64))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (fma.f64 (/.f64 a b) #s(literal 1/2 binary64) (*.f64 #s(literal -2/3 binary64) (/.f64 b c)))))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (fma.f64 (/.f64 b c) #s(literal -2/3 binary64) (*.f64 (/.f64 a b) #s(literal 1/2 binary64)))))
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a)
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal 1/3 binary64)) a)
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64)) c)) b))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) #s(approx (/ (+ (* -2/3 b) (* (* a (/ c b)) 1/2)) c) (/.f64 (fma.f64 (/.f64 (*.f64 b b) c) #s(literal -2/3 binary64) (*.f64 #s(literal 1/2 binary64) a)) b))))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/.f64 (fma.f64 #s(literal -2/3 binary64) b (*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64))) c)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
(*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 1/3 binary64)))
(/.f64 #s(literal 1/3 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64))
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 #s(approx (+ (* (/ -3/8 b) (/ a b)) (/ (* -9/16 (* (* a a) c)) (pow b 4))) (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b))
Calls

5 calls:

8.0ms
(*.f64 #s(literal 3 binary64) a)
8.0ms
b
8.0ms
c
8.0ms
a
8.0ms
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
Results
AccuracySegmentsBranch
96.0%1b
96.0%1a
96.0%1c
96.0%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))
96.0%1(*.f64 #s(literal 3 binary64) a)
Compiler

Compiled 23 to 26 computations (-13% saved)

regimes21.0ms (0.2%)

Memory
11.3MiB live, 11.3MiB allocated
Counts
10 → 1
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c)))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (*.f64 #s(approx (neg (+ (/ (* (* (* a a) c) -3/8) (pow b 4)) (+ (* (/ a (* b b)) -1/2) (/ 2/3 c)))) (/.f64 #s(literal -2/3 binary64) c)) b)))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (*.f64 (/.f64 b c) #s(literal -2/3 binary64))))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/.f64 #s(approx (+ (* -2/3 b) (* (* a (/ c b)) 1/2)) (*.f64 #s(literal -2/3 binary64) b)) c)))
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64))
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (/.f64 #s(approx (+ (* (/ -9/8 b) (/ (* (* c c) a) b)) (* -3/2 c)) (*.f64 #s(literal -3/2 binary64) c)) b)) #s(literal 3 binary64))
(/.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (*.f64 (/.f64 b (*.f64 a c)) #s(literal -2/3 binary64))) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 c b) #s(literal -3/2 binary64)) a)) (*.f64 #s(literal 3 binary64) a))
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
Calls

5 calls:

4.0ms
(*.f64 #s(literal 3 binary64) a)
4.0ms
c
4.0ms
a
4.0ms
b
4.0ms
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
Results
AccuracySegmentsBranch
89.9%1b
89.9%1c
89.9%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))
89.9%1a
89.9%1(*.f64 #s(literal 3 binary64) a)
Compiler

Compiled 23 to 26 computations (-13% saved)

regimes9.0ms (0.1%)

Memory
7.2MiB live, 7.2MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

5 calls:

2.0ms
(*.f64 #s(literal 3 binary64) a)
2.0ms
c
2.0ms
b
2.0ms
a
2.0ms
(/.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
89.6%1(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
89.6%1a
89.6%1b
89.6%1(*.f64 #s(literal 3 binary64) a)
89.6%1c
Compiler

Compiled 23 to 26 computations (-13% saved)

simplify31.0ms (0.4%)

Memory
19.7MiB live, 19.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0153584
1173584
Stop Event
saturated
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal -1/6 binary64) a) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)))) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (/ (* a a) (pow b 4)) -9/16) (/ (* -135/128 (* (pow a 3) c)) (pow b 6))) (/.f64 #s(approx (+ (* (* (* (* a a) -9/16) b) b) (* (* c (pow a 3)) -135/128)) (*.f64 (fma.f64 (*.f64 c a) #s(literal -135/128 binary64) (*.f64 (*.f64 b b) #s(literal -9/16 binary64))) (*.f64 a a))) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) #s(approx (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c)) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) #s(literal -1/2 binary64)) c))) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 #s(approx (+ (* (/ -3/8 b) (/ a b)) (/ (* -9/16 (* (* a a) c)) (pow b 4))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) (/.f64 c b) (*.f64 #s(literal -3/8 binary64) a)) (*.f64 b b))) c #s(literal -1/2 binary64)) c)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 #s(approx (+ (* (/ -3/8 b) (/ a b)) (/ (* -9/16 (* (* a a) c)) (pow b 4))) (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b)))
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal -1/6 binary64) a) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)))) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64))) (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64)))) (fma.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)))) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 #s(literal 405/64 binary64) b) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64)))) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (/ (* a a) (pow b 4)) -9/16) (/ (* -135/128 (* (pow a 3) c)) (pow b 6))) (/.f64 #s(approx (+ (* (* (* (* a a) -9/16) b) b) (* (* c (pow a 3)) -135/128)) (*.f64 (fma.f64 (*.f64 c a) #s(literal -135/128 binary64) (*.f64 (*.f64 b b) #s(literal -9/16 binary64))) (*.f64 a a))) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) #s(approx (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c)) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) #s(literal -1/2 binary64)) c))) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) b) (/.f64 a b) #s(approx (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c)) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) #s(literal -1/2 binary64)) c))) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 #s(approx (+ (* (/ -3/8 b) (/ a b)) (/ (* -9/16 (* (* a a) c)) (pow b 4))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) (/.f64 c b) (*.f64 #s(literal -3/8 binary64) a)) (*.f64 b b))) c #s(literal -1/2 binary64)) c)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 #s(approx (+ (* (/ -3/8 b) (/ a b)) (/ (* -9/16 (* (* a a) c)) (pow b 4))) (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal -1/2 binary64) b) c))

soundness698.0ms (8%)

Memory
16.0MiB live, 16.0MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
081715787
1253815620
0858914950
0145317219
1483216936
0869416225
0137217690
1452017403
0922216619
04702458
114452441
248902418
080562302
064452
0108440
1413432
23407432
08413432
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 265 to 163 computations (38.5% saved)

preprocess84.0ms (1%)

Memory
50.4MiB live, 50.4MiB allocated
Compiler

Compiled 500 to 216 computations (56.8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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