Cubic critical, medium range

Time bar (total: 11.6s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze246.0ms (2.1%)

Memory
14.1MiB live, 332.8MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%0%100%0%0%0%0
0%0%0%100%0%0%0%1
0%0%0%100%0%0%0%2
0%0%0%100%0%0%0%3
0%0%0%100%0%0%0%4
0%0%0%100%0%0%0%5
0%0%0%100%0%0%0%6
6.8%0%0%100%0%0%0%7
15.9%0%0%100%0%0%0%8
23.1%0%0%100%0%0%0%9
36.5%0%0%100%0%0%0%10
45.4%0%0%100%0%0%0%11
52.3%0%0%100%0%0%0%12
Compiler

Compiled 41 to 26 computations (36.6% saved)

sample2.6s (22.6%)

Memory
-244.1MiB live, 3 217.5MiB allocated
Samples
1.5s5 346×1valid
437.0ms2 910×0valid
158.0ms1 230×0invalid
Precisions
Click to see histograms. Total time spent on operations: 1.7s
adjust: 376.0ms (22.4% of total)
ival-mult: 344.0ms (20.5% of total)
const: 249.0ms (14.8% of total)
ival-<: 165.0ms (9.8% of total)
ival-div: 124.0ms (7.4% of total)
ival-sqrt: 113.0ms (6.7% of total)
ival-add: 112.0ms (6.7% of total)
ival-neg: 79.0ms (4.7% of total)
ival-sub: 71.0ms (4.2% of total)
ival-and: 32.0ms (1.9% of total)
exact: 10.0ms (0.6% of total)
ival-assert: 4.0ms (0.2% of total)
Bogosity

explain170.0ms (1.5%)

Memory
24.2MiB live, 405.4MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2425(2.8503924275286525e-10 13102.876270753712 1862926942269220.3)1(3.612452090428058e-8 9.439569332477157e-8 3.0052717862212903e-9)(+.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))))cancellation2461
Confusion
Predicted +Predicted -
+2421
-49
Precision
0.983739837398374
Recall
0.9958847736625515
Confusion?
Predicted +Predicted MaybePredicted -
+24210
-409
Precision?
0.9838056680161943
Recall?
1.0
Freqs
test
numberfreq
010
1246
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
65.0ms330×1valid
16.0ms182×0valid
Compiler

Compiled 156 to 40 computations (74.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 50.0ms
ival-mult: 15.0ms (29.7% of total)
ival-div: 13.0ms (25.8% of total)
adjust: 6.0ms (11.9% of total)
ival-sqrt: 6.0ms (11.9% of total)
ival-add: 4.0ms (7.9% of total)
ival-sub: 4.0ms (7.9% of total)
ival-neg: 2.0ms (4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess125.0ms (1.1%)

Memory
-3.5MiB live, 117.5MiB allocated
Algorithm
egg-herbie
Rules
1 562×div-sub
1 088×lower-fma.f64
1 088×lower-fma.f32
996×sub-neg
712×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

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

Compiled 20 to 12 computations (40% saved)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory
1.8MiB live, 1.8MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
31.4%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
Compiler

Compiled 20 to 12 computations (40% saved)

simplify66.0ms (0.6%)

Memory
24.6MiB live, 63.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

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

localize62.0ms (0.5%)

Memory
-14.0MiB live, 118.0MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.109375
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))
accuracy0.203125
(*.f64 (*.f64 #s(literal 3 binary64) a) c)
accuracy0.31869125976844204
(/.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))
accuracy43.82997376661937
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))))
Samples
37.0ms165×1valid
17.0ms91×0valid
Compiler

Compiled 68 to 14 computations (79.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 42.0ms
ival-mult: 15.0ms (36% of total)
adjust: 12.0ms (28.8% of total)
ival-div: 6.0ms (14.4% of total)
ival-sqrt: 3.0ms (7.2% of total)
ival-add: 2.0ms (4.8% of total)
ival-sub: 2.0ms (4.8% of total)
ival-neg: 1.0ms (2.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series23.0ms (0.2%)

Memory
8.2MiB live, 47.3MiB allocated
Counts
5 → 144
Calls
Call 1
Inputs
#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())
#s(alt (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) (patch (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())
#s(alt (neg.f64 b) (patch (neg.f64 b) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 #s(literal 3 binary64) a) c) (patch (*.f64 (*.f64 #s(literal 3 binary64) a) c) #<representation binary64>) () ())
Outputs
#s(alt (* -3/2 (/ (* a c) b)) (taylor 0 c) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))) (taylor 0 c) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))) (taylor 0 c) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)))))))) (taylor 0 c) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor 0 c) (#s(alt (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) (patch (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) #<representation binary64>) () ())) ())
#s(alt (+ (* -3 (* a c)) (pow b 2)) (taylor 0 c) (#s(alt (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) (patch (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) #<representation binary64>) () ())) ())
#s(alt (+ (* -3 (* a c)) (pow b 2)) (taylor 0 c) (#s(alt (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) (patch (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) #<representation binary64>) () ())) ())
#s(alt (+ (* -3 (* a c)) (pow b 2)) (taylor 0 c) (#s(alt (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) (patch (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ c b)) (taylor 0 c) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* a c)) (taylor 0 c) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) a) c) (patch (*.f64 (*.f64 #s(literal 3 binary64) a) c) #<representation binary64>) () ())) ())
#s(alt (* 3 (* a c)) (taylor 0 c) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) a) c) (patch (*.f64 (*.f64 #s(literal 3 binary64) a) c) #<representation binary64>) () ())) ())
#s(alt (* 3 (* a c)) (taylor 0 c) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) a) c) (patch (*.f64 (*.f64 #s(literal 3 binary64) a) c) #<representation binary64>) () ())) ())
#s(alt (* 3 (* a c)) (taylor 0 c) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) a) c) (patch (*.f64 (*.f64 #s(literal 3 binary64) a) c) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (* a c)) (sqrt -3)) (taylor inf c) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3)))) (taylor inf c) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c))) (taylor inf c) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c))) (taylor inf c) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* -3 (* a c)) (taylor inf c) (#s(alt (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) (patch (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) #<representation binary64>) () ())) ())
#s(alt (* c (- (/ (pow b 2) c) (* 3 a))) (taylor inf c) (#s(alt (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) (patch (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) #<representation binary64>) () ())) ())
#s(alt (* c (- (/ (pow b 2) c) (* 3 a))) (taylor inf c) (#s(alt (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) (patch (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) #<representation binary64>) () ())) ())
#s(alt (* c (- (/ (pow b 2) c) (* 3 a))) (taylor inf c) (#s(alt (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) (patch (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (taylor inf c) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) (taylor inf c) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
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#s(alt (+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) (taylor -inf a) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) (taylor -inf a) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) (taylor -inf a) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* a c)) (taylor -inf a) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) a) c) (patch (*.f64 (*.f64 #s(literal 3 binary64) a) c) #<representation binary64>) () ())) ())
#s(alt (* 3 (* a c)) (taylor -inf a) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) a) c) (patch (*.f64 (*.f64 #s(literal 3 binary64) a) c) #<representation binary64>) () ())) ())
#s(alt (* 3 (* a c)) (taylor -inf a) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) a) c) (patch (*.f64 (*.f64 #s(literal 3 binary64) a) c) #<representation binary64>) () ())) ())
#s(alt (* 3 (* a c)) (taylor -inf a) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) a) c) (patch (*.f64 (*.f64 #s(literal 3 binary64) a) c) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
4.0ms
c
@inf
((+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (- (* b b) (* (* 3 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (neg b) (* (* 3 a) c))
3.0ms
b
@inf
((+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (- (* b b) (* (* 3 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (neg b) (* (* 3 a) c))
2.0ms
c
@0
((+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (- (* b b) (* (* 3 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (neg b) (* (* 3 a) c))
2.0ms
c
@-inf
((+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (- (* b b) (* (* 3 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (neg b) (* (* 3 a) c))
2.0ms
a
@inf
((+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (- (* b b) (* (* 3 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (neg b) (* (* 3 a) c))

simplify163.0ms (1.4%)

Memory
-2.6MiB live, 267.6MiB allocated
Algorithm
egg-herbie
Rules
11 360×lower-fma.f64
11 360×lower-fma.f32
6 828×lower-*.f64
6 828×lower-*.f32
3 678×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

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

rewrite242.0ms (2.1%)

Memory
-52.9MiB live, 276.2MiB allocated
Rules
4 876×lower-fma.f64
4 876×lower-fma.f32
3 870×lower-*.f32
3 864×lower-*.f64
2 328×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01246
02046
17144
252543
3683643
0812540
Stop Event
iter limit
node limit
iter limit
Counts
5 → 410
Calls
Call 1
Inputs
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))))
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
(neg.f64 b)
(*.f64 (*.f64 #s(literal 3 binary64) a) c)
Outputs
(*.f64 (/.f64 (fma.f64 b b (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (fma.f64 (*.f64 b b) b (*.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 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 (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))))
(*.f64 (/.f64 (fma.f64 (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 (*.f64 b b) b)) (-.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (fma.f64 b b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) (neg.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 (fma.f64 (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 (*.f64 b b) b)) (fma.f64 (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) b)) b (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (fma.f64 b b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))))) (fma.f64 (*.f64 (*.f64 b b) b) b (fma.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (fma.f64 b b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) (*.f64 b b)))))
(*.f64 (/.f64 (fma.f64 b b (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (fma.f64 b b (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (fma.f64 b b (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))))
(*.f64 (/.f64 #s(literal 1 binary64) (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)))))))) (fma.f64 (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 (*.f64 b b) b)))
(*.f64 (fma.f64 b b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))
(*.f64 (fma.f64 (*.f64 b b) b (*.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) (/.f64 #s(literal 1 binary64) (neg.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 (fma.f64 b b (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) #s(literal 1 binary64)))
(*.f64 (fma.f64 b b (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (/.f64 #s(literal -1 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
(*.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))
(*.f64 #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 (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (/.f64 #s(literal 1 binary64) (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 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))))))
(*.f64 (fma.f64 (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 (*.f64 b b) b)) (*.f64 (/.f64 #s(literal 1 binary64) (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 (fma.f64 (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 (*.f64 b b) b)) (/.f64 #s(literal 1 binary64) (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)))))))))
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(/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 c a) #s(literal 9 binary64)) c) a (*.f64 (*.f64 (*.f64 b b) b) b)) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b) b) (*.f64 (*.f64 b b) b))) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) #s(literal 3 binary64)) a) (fma.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 (*.f64 b b) b)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b) b))))
(/.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 1/3 binary64)) (neg.f64 a))
(/.f64 (fma.f64 b b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (neg.f64 (*.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 3 binary64)) a)))
(/.f64 (fma.f64 b b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 (*.f64 #s(literal -3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))
(/.f64 (fma.f64 b b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 (*.f64 a #s(literal 3 binary64)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
(/.f64 (fma.f64 (*.f64 b b) b (*.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) (neg.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) #s(literal 3 binary64)) a)))
(/.f64 (fma.f64 (*.f64 b b) b (*.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) (*.f64 (*.f64 #s(literal -3 binary64) a) (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 (fma.f64 (*.f64 b b) b (*.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) (*.f64 (*.f64 a #s(literal 3 binary64)) (neg.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 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (neg.f64 (neg.f64 a)))
(/.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 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (*.f64 #s(literal -3 binary64) a))
(/.f64 (fma.f64 b b (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.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 (fma.f64 b b (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 #s(literal -3 binary64) a)))
(/.f64 (fma.f64 b b (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 3 binary64)) a))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) (*.f64 #s(literal -3 binary64) a)))
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal -3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (*.f64 (fma.f64 b b (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (/.f64 #s(literal 1/3 binary64) a))))
(/.f64 #s(literal 1 binary64) (/.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 #s(literal 1/3 binary64) a) (fma.f64 (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 (*.f64 b b) b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 3 binary64)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
(/.f64 (fma.f64 (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 (*.f64 b b) b)) (*.f64 (*.f64 #s(literal -3 binary64) a) (neg.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 (fma.f64 (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 (*.f64 b b) b)) (*.f64 (neg.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 #s(literal -3 binary64) a)))
(/.f64 (fma.f64 (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 (*.f64 b b) b)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) #s(literal 3 binary64)) a))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 a #s(literal 3 binary64)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))))
(neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 b (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 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (/.f64 #s(literal 1/3 binary64) a)))
(fma.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 (/.f64 #s(literal 1/3 binary64) a) b))
(fma.f64 (/.f64 #s(literal 1/3 binary64) a) b (*.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))
(fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1/3 binary64) a) (*.f64 b (/.f64 #s(literal 1/3 binary64) a)))
(fma.f64 b (/.f64 #s(literal 1/3 binary64) a) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1/3 binary64) a)))
(-.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 3 binary64)) a)) (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 3 binary64)) a)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal -3 binary64) a)) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (/.f64 #s(literal 1/3 binary64) a)))
(-.f64 (/.f64 (/.f64 (*.f64 b b) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) (*.f64 a #s(literal 3 binary64))) (/.f64 (/.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (*.f64 a #s(literal 3 binary64))))
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (/.f64 b (*.f64 a #s(literal 3 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 a #s(literal 3 binary64))) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (/.f64 #s(literal 1/3 binary64) a)))
(-.f64 #s(literal 0 binary64) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (/.f64 #s(literal 1/3 binary64) a)))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 a #s(literal 3 binary64)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) #s(literal -1 binary64)))
(+.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1/3 binary64) a)) (*.f64 b (/.f64 #s(literal 1/3 binary64) a)))
(+.f64 (*.f64 b (/.f64 #s(literal 1/3 binary64) a)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1/3 binary64) a)))
(+.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (*.f64 (/.f64 #s(literal 1/3 binary64) a) b))
(+.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) b) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))
(*.f64 (pow.f64 b #s(literal 1/2 binary64)) (pow.f64 b #s(literal 1/2 binary64)))
(*.f64 #s(literal -1 binary64) b)
(*.f64 #s(literal 1 binary64) b)
(*.f64 (*.f64 (*.f64 b b) b) (/.f64 #s(literal 1 binary64) (*.f64 b b)))
(*.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) b))
(*.f64 b #s(literal -1 binary64))
(*.f64 b #s(literal 1 binary64))
(pow.f64 b #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 b b)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 (*.f64 b b) b)))
(/.f64 (*.f64 (*.f64 b b) b) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 b b) #s(literal 0 binary64))))
(/.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))
(/.f64 (*.f64 b b) b)
(neg.f64 b)
(fma.f64 (pow.f64 b #s(literal 1/2 binary64)) (pow.f64 b #s(literal 1/2 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) b #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) b #s(literal 0 binary64))
(fma.f64 (*.f64 (*.f64 b b) b) (/.f64 #s(literal 1 binary64) (*.f64 b b)) #s(literal 0 binary64))
(fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) b) #s(literal 0 binary64))
(fma.f64 b #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 b #s(literal 1 binary64) #s(literal 0 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) b) b)
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 b b)) b)
(-.f64 #s(literal 0 binary64) b)
(exp.f64 (*.f64 (log.f64 b) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) b)
(+.f64 b #s(literal 0 binary64))
b
(*.f64 (*.f64 c #s(literal 3 binary64)) a)
(*.f64 (*.f64 c a) #s(literal 3 binary64))
(*.f64 c (*.f64 a #s(literal 3 binary64)))
(*.f64 (*.f64 a #s(literal 3 binary64)) c)
(*.f64 a (*.f64 c #s(literal 3 binary64)))
(*.f64 #s(literal 3 binary64) (*.f64 c a))

eval82.0ms (0.7%)

Memory
-0.6MiB live, 151.5MiB allocated
Compiler

Compiled 20 413 to 1 847 computations (91% saved)

prune131.0ms (1.1%)

Memory
5.1MiB live, 243.7MiB allocated
Pruning

39 alts after pruning (39 fresh and 0 done)

PrunedKeptTotal
New51539554
Fresh000
Picked101
Done000
Total51639555
Accuracy
99.5%
Counts
555 → 39
Alt Table
Click to see full alt table
StatusAccuracyProgram
31.2%
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 (*.f64 (*.f64 c a) c) a) (*.f64 (*.f64 (*.f64 b b) b) b))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 (*.f64 b b) b))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a))
30.6%
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 (*.f64 (*.f64 c a) c) a) (*.f64 (*.f64 (*.f64 b b) b) b))) 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))
31.0%
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 (*.f64 (*.f64 c a) c) a) (*.f64 c a)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b) b))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 (*.f64 (*.f64 b b) b) b))) (*.f64 (*.f64 b b) b))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 (*.f64 (*.f64 b b) b) b))) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a))
31.3%
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 (*.f64 (*.f64 c a) c) a) (*.f64 c a)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b) b))) b) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 (*.f64 (*.f64 b b) b) b))) (*.f64 b b))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 (*.f64 (*.f64 b b) b) b))) b)) (*.f64 #s(literal 3 binary64) a))
31.5%
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64))
31.4%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) (*.f64 #s(literal 3 binary64) a))
31.5%
(/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) #s(literal 3 binary64)))
31.4%
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64)))
31.5%
(/.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))
31.5%
(/.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))
31.5%
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) #s(literal 3 binary64))
31.4%
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a)
95.6%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) a) #s(literal -27/16 binary64)) (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 4 binary64)))) (fma.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) (*.f64 c (/.f64 c (*.f64 b b))) (fma.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64)))) #s(literal -1/2 binary64) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))))) b)) (*.f64 #s(literal 3 binary64) a))
93.9%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) (*.f64 c (/.f64 c (*.f64 b b))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) c) c) c) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -27/16 binary64) (*.f64 (*.f64 c a) #s(literal -3/2 binary64)))) b)) (*.f64 #s(literal 3 binary64) a))
93.8%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) a) #s(literal -27/16 binary64)) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) (*.f64 (*.f64 b b) b))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c)) (*.f64 #s(literal 3 binary64) a))
94.0%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -27/16 binary64) a) (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 (*.f64 c c) #s(literal -9/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a)) (*.f64 #s(literal 3 binary64) a))
89.9%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 c #s(literal -9/8 binary64)) (/.f64 (*.f64 a a) (*.f64 (*.f64 b b) b)) (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c)) (*.f64 #s(literal 3 binary64) a))
90.1%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 a #s(literal -9/8 binary64)) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)) (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a)) (*.f64 #s(literal 3 binary64) a))
80.7%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 c b) #s(literal -3/2 binary64)) a)) (*.f64 #s(literal 3 binary64) a))
31.4%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 3 binary64)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
31.4%
(/.f64 #s(literal 1/3 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
31.4%
(/.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) a))
31.5%
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) (*.f64 #s(literal -3 binary64) a)))
30.8%
(-.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))))
31.5%
(*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) #s(literal 3 binary64)) a)))
31.4%
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 1/3 binary64))
31.4%
(*.f64 (/.f64 (*.f64 (fma.f64 b b (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (/.f64 #s(literal 1/3 binary64) a)) (fma.f64 b b (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))
31.5%
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))
31.4%
(*.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)))
96.1%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
94.4%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (*.f64 a #s(literal -9/16 binary64)) (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
90.4%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
90.4%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (*.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 #s(literal -9/16 binary64) (*.f64 a a)) (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 4 binary64)))) (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (fma.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (*.f64 (pow.f64 b #s(literal 6 binary64)) a))) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) c)))) b))
94.3%
#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 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 4 binary64)))) (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 #s(literal -1/2 binary64) c))) b))
95.7%
#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) c) (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) (*.f64 b a))) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c))
94.0%
#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 (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c))
90.0%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (*.f64 c #s(literal -3/8 binary64)) (/.f64 a (*.f64 (*.f64 b b) b)) (/.f64 #s(literal -1/2 binary64) b)) c))
81.0%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
Compiler

Compiled 2 578 to 1 410 computations (45.3% saved)

simplify174.0ms (1.5%)

Memory
-11.0MiB live, 228.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b))
cost-diff0
(*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)
cost-diff0
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c))
cost-diff320
(fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)))
cost-diff0
(/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))
cost-diff0
(/.f64 #s(literal 1 binary64) a)
cost-diff320
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) #s(literal 3 binary64))
cost-diff1088
(/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) #s(literal 3 binary64)))
cost-diff0
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))
cost-diff0
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)
cost-diff0
(/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))
cost-diff384
(/.f64 #s(literal 1/3 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
cost-diff0
(/.f64 c b)
cost-diff0
(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
cost-diff0
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
cost-diff0
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
cost-diff320
(fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64)))
cost-diff320
(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 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b)))
cost-diff704
(*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b))
Rules
6 126×lower-fma.f32
6 114×lower-fma.f64
5 404×lower-*.f32
5 374×lower-*.f64
2 896×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067640
0113634
1202604
2460588
31229574
42850572
54461572
66468572
09059562
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b)))
(fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64)))
(*.f64 #s(literal -1/6 binary64) a)
#s(literal -1/6 binary64)
a
(*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b))
(/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64)))
(pow.f64 c #s(literal 4 binary64))
c
#s(literal 4 binary64)
(pow.f64 b #s(literal 6 binary64))
b
#s(literal 6 binary64)
(/.f64 #s(literal 405/64 binary64) b)
#s(literal 405/64 binary64)
(*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))
(*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64))))
(*.f64 c c)
(/.f64 c (pow.f64 b #s(literal 5 binary64)))
(pow.f64 b #s(literal 5 binary64))
#s(literal 5 binary64)
#s(literal -9/16 binary64)
(/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))
(*.f64 (*.f64 c c) #s(literal -3/8 binary64))
#s(literal -3/8 binary64)
(*.f64 (*.f64 b b) b)
(*.f64 b b)
(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
(/.f64 c b)
#s(literal -1/2 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
(/.f64 c b)
c
b
#s(literal -1/2 binary64)
(/.f64 #s(literal 1/3 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
#s(literal 1/3 binary64)
(/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))
a
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))
(*.f64 #s(literal -3 binary64) c)
#s(literal -3 binary64)
c
(*.f64 b b)
b
(/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) a)
#s(literal 1 binary64)
a
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) #s(literal 3 binary64))
(/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))
#s(literal -1 binary64)
(-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))
b
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))
(*.f64 #s(literal -3 binary64) c)
#s(literal -3 binary64)
c
(*.f64 b b)
#s(literal 3 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c))
(*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)
(fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b))
(fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)))
(*.f64 c #s(literal -9/16 binary64))
c
#s(literal -9/16 binary64)
(*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64))))
a
(/.f64 a (pow.f64 b #s(literal 5 binary64)))
(pow.f64 b #s(literal 5 binary64))
b
#s(literal 5 binary64)
(*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))
(/.f64 a (*.f64 (*.f64 b b) b))
(*.f64 (*.f64 b b) b)
(*.f64 b b)
#s(literal -3/8 binary64)
(/.f64 #s(literal -1/2 binary64) b)
#s(literal -1/2 binary64)
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (*.f64 a a) (fma.f64 #s(literal -135/128 binary64) (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) a) (pow.f64 b #s(literal 7 binary64))) (*.f64 (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 5 binary64))) (*.f64 (*.f64 c c) c))) (*.f64 (/.f64 c b) (fma.f64 (*.f64 (/.f64 c (*.f64 b b)) a) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
(fma.f64 (*.f64 a a) (fma.f64 #s(literal -135/128 binary64) (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) a) (pow.f64 b #s(literal 7 binary64))) (*.f64 (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 5 binary64))) (*.f64 (*.f64 c c) c))) (*.f64 (/.f64 c b) (fma.f64 (*.f64 (/.f64 c (*.f64 b b)) a) #s(literal -3/8 binary64) #s(literal -1/2 binary64))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b)))
(fma.f64 (*.f64 (/.f64 #s(literal -135/128 binary64) (pow.f64 b #s(literal 7 binary64))) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 c c) (fma.f64 (*.f64 (/.f64 a (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64)) c (/.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 b b) b)))))
(fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64)))
(fma.f64 #s(literal -135/128 binary64) (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) a) (pow.f64 b #s(literal 7 binary64))) (*.f64 (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 5 binary64))) (*.f64 (*.f64 c c) c)))
(*.f64 #s(literal -1/6 binary64) a)
#s(literal -1/6 binary64)
a
(*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b))
(/.f64 (*.f64 #s(literal 405/64 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 7 binary64)))
(/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64)))
(pow.f64 c #s(literal 4 binary64))
c
#s(literal 4 binary64)
(pow.f64 b #s(literal 6 binary64))
b
#s(literal 6 binary64)
(/.f64 #s(literal 405/64 binary64) b)
#s(literal 405/64 binary64)
(*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))
(*.f64 (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 5 binary64))) (*.f64 (*.f64 c c) c))
(*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64))))
(*.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 5 binary64))) c) c)
(*.f64 c c)
(/.f64 c (pow.f64 b #s(literal 5 binary64)))
(pow.f64 b #s(literal 5 binary64))
#s(literal 5 binary64)
#s(literal -9/16 binary64)
(/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))
(*.f64 (/.f64 c (*.f64 (*.f64 b b) b)) (*.f64 #s(literal -3/8 binary64) c))
(*.f64 (*.f64 c c) #s(literal -3/8 binary64))
(*.f64 #s(literal -3/8 binary64) (*.f64 c c))
#s(literal -3/8 binary64)
(*.f64 (*.f64 b b) b)
(*.f64 b b)
(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (/.f64 c b))
(/.f64 c b)
#s(literal -1/2 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))
(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (/.f64 c b))
(/.f64 c b)
c
b
#s(literal -1/2 binary64)
(/.f64 #s(literal 1/3 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
(*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))
#s(literal 1/3 binary64)
(/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))
a
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))
(*.f64 #s(literal -3 binary64) c)
#s(literal -3 binary64)
c
(*.f64 b b)
b
(/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) #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 #s(literal 1 binary64) a)
#s(literal 1 binary64)
a
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) #s(literal 3 binary64))
(/.f64 #s(literal 3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))
(/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))
#s(literal -1 binary64)
(-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))
b
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))
(*.f64 #s(literal -3 binary64) c)
#s(literal -3 binary64)
c
(*.f64 b b)
#s(literal 3 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (*.f64 c a) (fma.f64 (*.f64 (/.f64 a (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64)) c (/.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 b b) b))) (/.f64 #s(literal -1/2 binary64) b)) c))
(*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)
(*.f64 (fma.f64 (*.f64 c a) (fma.f64 (*.f64 (/.f64 a (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64)) c (/.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 b b) b))) (/.f64 #s(literal -1/2 binary64) b)) c)
(fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b))
(fma.f64 (*.f64 c a) (fma.f64 (*.f64 (/.f64 a (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64)) c (/.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 b b) b))) (/.f64 #s(literal -1/2 binary64) b))
(fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)))
(*.f64 (fma.f64 (*.f64 (/.f64 a (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64)) c (/.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 b b) b))) a)
(*.f64 c #s(literal -9/16 binary64))
(*.f64 #s(literal -9/16 binary64) c)
c
#s(literal -9/16 binary64)
(*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64))))
(*.f64 (/.f64 a (pow.f64 b #s(literal 5 binary64))) a)
a
(/.f64 a (pow.f64 b #s(literal 5 binary64)))
(pow.f64 b #s(literal 5 binary64))
b
#s(literal 5 binary64)
(*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))
(/.f64 a (*.f64 (*.f64 b b) b))
(*.f64 (*.f64 b b) b)
(*.f64 b b)
#s(literal -3/8 binary64)
(/.f64 #s(literal -1/2 binary64) b)
#s(literal -1/2 binary64)

localize280.0ms (2.4%)

Memory
43.4MiB live, 471.0MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.28125
(*.f64 (*.f64 b b) b)
accuracy0.30078125
(/.f64 a (*.f64 (*.f64 b b) b))
accuracy0.34765625
(*.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 (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)
accuracy3.5314510743978693
#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 (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c))
accuracy0.28125
(/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))
accuracy0.3046875
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) #s(literal 3 binary64))
accuracy0.375
(/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) #s(literal 3 binary64)))
accuracy43.82997376661937
(-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))
accuracy0.09994125976844201
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))
accuracy0.2578125
(/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))
accuracy0.43359375
(/.f64 #s(literal 1/3 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
accuracy43.82997376661937
(-.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))
accuracy12.187108836952302
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
accuracy0.375
(*.f64 #s(literal -1/6 binary64) a)
accuracy0.39291000976844204
(*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b))
accuracy0.39681625976844204
(*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64))))
accuracy2.4407015092548834
#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 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
Samples
152.0ms163×1valid
55.0ms93×0valid
Compiler

Compiled 583 to 71 computations (87.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 144.0ms
ival-mult: 47.0ms (32.7% of total)
ival-div: 31.0ms (21.6% of total)
adjust: 19.0ms (13.2% of total)
ival-add: 15.0ms (10.4% of total)
ival-pow: 9.0ms (6.3% of total)
const: 7.0ms (4.9% of total)
ival-sub: 6.0ms (4.2% of total)
ival-sqrt: 6.0ms (4.2% of total)
exact: 1.0ms (0.7% of total)
ival-neg: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series207.0ms (1.8%)

Memory
16.5MiB live, 283.3MiB allocated
Counts
25 → 768
Calls
Call 1
Inputs
#s(alt (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (patch (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) #<representation binary64>) () ())
#s(alt (fma.f64 (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 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) (patch (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) (patch (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 c b) #s(literal -1/2 binary64)) (patch (*.f64 (/.f64 c b) #s(literal -1/2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 c b) (patch (/.f64 c b) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/3 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) (patch (/.f64 #s(literal 1/3 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) #<representation binary64>) () ())
#s(alt (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (patch (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) #<representation binary64>) () ())
#s(alt (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (patch (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) #s(literal 3 binary64))) (patch (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) #s(literal 3 binary64)) (patch (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) a) (patch (/.f64 #s(literal 1 binary64) a) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) (patch (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) (patch (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c) (patch (*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) (patch (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) (patch (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal -1/6 binary64) a) (patch (*.f64 #s(literal -1/6 binary64) a) #<representation binary64>) () ())
#s(alt (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 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (patch (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #<representation binary64>) () ())
#s(alt (/.f64 a (*.f64 (*.f64 b b) b)) (patch (/.f64 a (*.f64 (*.f64 b b) b)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 b b) b) (patch (*.f64 (*.f64 b b) b) #<representation binary64>) () ())
Outputs
#s(alt (* 405/64 (/ (pow c 4) (pow b 7))) (taylor 0 c) (#s(alt (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (patch (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) #<representation binary64>) () ())) ())
#s(alt (* 405/64 (/ (pow c 4) (pow b 7))) (taylor 0 c) (#s(alt (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (patch (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) #<representation binary64>) () ())) ())
#s(alt (* 405/64 (/ (pow c 4) (pow b 7))) (taylor 0 c) (#s(alt (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (patch (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) #<representation binary64>) () ())) ())
#s(alt (* 405/64 (/ (pow c 4) (pow b 7))) (taylor 0 c) (#s(alt (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (patch (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) #<representation binary64>) () ())) ())
#s(alt (* -3/8 (/ (pow c 2) (pow b 3))) (taylor 0 c) (#s(alt (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) (patch (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (- (* -9/16 (/ (* a c) (pow b 5))) (* 3/8 (/ 1 (pow b 3))))) (taylor 0 c) (#s(alt (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) (patch (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (- (* c (+ (* -135/128 (/ (* (pow a 2) c) (pow b 7))) (* -9/16 (/ a (pow b 5))))) (* 3/8 (/ 1 (pow b 3))))) (taylor 0 c) (#s(alt (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) (patch (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (- (* c (+ (* -135/128 (/ (* (pow a 2) c) (pow b 7))) (* -9/16 (/ a (pow b 5))))) (* 3/8 (/ 1 (pow b 3))))) (taylor 0 c) (#s(alt (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) (patch (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) #<representation binary64>) () ())) ())
#s(alt (* -9/16 (/ (pow c 3) (pow b 5))) (taylor 0 c) (#s(alt (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) (patch (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 3) (- (* -135/128 (/ (* a c) (pow b 7))) (* 9/16 (/ 1 (pow b 5))))) (taylor 0 c) (#s(alt (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) (patch (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 3) (- (* -135/128 (/ (* a c) (pow b 7))) (* 9/16 (/ 1 (pow b 5))))) (taylor 0 c) (#s(alt (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) (patch (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 3) (- (* -135/128 (/ (* a c) (pow b 7))) (* 9/16 (/ 1 (pow b 5))))) (taylor 0 c) (#s(alt (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) (patch (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ c b)) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (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 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (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 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (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 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (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 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 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 (/.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 (* 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 (/.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 (* 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 (/.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 (* 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 (/.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 (* -1/2 (/ c b)) (taylor 0 c) (#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 (* -1/2 (/ c b)) (taylor 0 c) (#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 (* -1/2 (/ c b)) (taylor 0 c) (#s(alt (*.f64 (/.f64 c b) #s(literal -1/2 binary64)) (patch (*.f64 (/.f64 c b) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
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Calls

9 calls:

TimeVariablePointExpression
45.0ms
c
@0
((* (/ (pow c 4) (pow b 6)) (/ 405/64 b)) (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (* (* (* c c) (/ c (pow b 5))) -9/16)) a) (/ (* (* c c) -3/8) (* (* b b) b))) (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (* (* (* c c) (/ c (pow b 5))) -9/16)) (/ (+ (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) (/ 1/3 (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b))) (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (sqrt (+ (* (* -3 c) a) (* b b))) (/ (/ 1 a) (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3)) (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (/ 1 a) (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) c) (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (* (* c c) (/ c (pow b 5))) (* -1/6 a) (+ (* (* -3 c) a) (* b b)) (- b (sqrt (+ (* (* -3 c) a) (* b b)))) (/ a (* (* b b) b)) (* (* b b) b))
36.0ms
c
@-inf
((* (/ (pow c 4) (pow b 6)) (/ 405/64 b)) (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (* (* (* c c) (/ c (pow b 5))) -9/16)) a) (/ (* (* c c) -3/8) (* (* b b) b))) (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (* (* (* c c) (/ c (pow b 5))) -9/16)) (/ (+ (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) (/ 1/3 (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b))) (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (sqrt (+ (* (* -3 c) a) (* b b))) (/ (/ 1 a) (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3)) (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (/ 1 a) (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) c) (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (* (* c c) (/ c (pow b 5))) (* -1/6 a) (+ (* (* -3 c) a) (* b b)) (- b (sqrt (+ (* (* -3 c) a) (* b b)))) (/ a (* (* b b) b)) (* (* b b) b))
19.0ms
b
@0
((* (/ (pow c 4) (pow b 6)) (/ 405/64 b)) (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (* (* (* c c) (/ c (pow b 5))) -9/16)) a) (/ (* (* c c) -3/8) (* (* b b) b))) (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (* (* (* c c) (/ c (pow b 5))) -9/16)) (/ (+ (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) (/ 1/3 (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b))) (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (sqrt (+ (* (* -3 c) a) (* b b))) (/ (/ 1 a) (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3)) (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (/ 1 a) (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) c) (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (* (* c c) (/ c (pow b 5))) (* -1/6 a) (+ (* (* -3 c) a) (* b b)) (- b (sqrt (+ (* (* -3 c) a) (* b b)))) (/ a (* (* b b) b)) (* (* b b) b))
18.0ms
b
@-inf
((* (/ (pow c 4) (pow b 6)) (/ 405/64 b)) (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (* (* (* c c) (/ c (pow b 5))) -9/16)) a) (/ (* (* c c) -3/8) (* (* b b) b))) (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (* (* (* c c) (/ c (pow b 5))) -9/16)) (/ (+ (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) (/ 1/3 (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b))) (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (sqrt (+ (* (* -3 c) a) (* b b))) (/ (/ 1 a) (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3)) (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (/ 1 a) (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) c) (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (* (* c c) (/ c (pow b 5))) (* -1/6 a) (+ (* (* -3 c) a) (* b b)) (- b (sqrt (+ (* (* -3 c) a) (* b b)))) (/ a (* (* b b) b)) (* (* b b) b))
11.0ms
a
@-inf
((* (/ (pow c 4) (pow b 6)) (/ 405/64 b)) (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (* (* (* c c) (/ c (pow b 5))) -9/16)) a) (/ (* (* c c) -3/8) (* (* b b) b))) (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (* (* (* c c) (/ c (pow b 5))) -9/16)) (/ (+ (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) (/ 1/3 (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b))) (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (sqrt (+ (* (* -3 c) a) (* b b))) (/ (/ 1 a) (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3)) (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (/ 1 a) (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) c) (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (* (* c c) (/ c (pow b 5))) (* -1/6 a) (+ (* (* -3 c) a) (* b b)) (- b (sqrt (+ (* (* -3 c) a) (* b b)))) (/ a (* (* b b) b)) (* (* b b) b))

simplify238.0ms (2%)

Memory
-7.6MiB live, 333.4MiB allocated
Algorithm
egg-herbie
Rules
7 662×lower-*.f64
7 662×lower-*.f32
5 786×lower-fma.f64
5 786×lower-fma.f32
2 954×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0171717189
1573116810
0823916194
Stop Event
iter limit
node limit
Counts
768 → 765
Calls
Call 1
Inputs
(* 405/64 (/ (pow c 4) (pow b 7)))
(* 405/64 (/ (pow c 4) (pow b 7)))
(* 405/64 (/ (pow c 4) (pow b 7)))
(* 405/64 (/ (pow c 4) (pow b 7)))
(* -3/8 (/ (pow c 2) (pow b 3)))
(* (pow c 2) (- (* -9/16 (/ (* a c) (pow b 5))) (* 3/8 (/ 1 (pow b 3)))))
(* (pow c 2) (- (* c (+ (* -135/128 (/ (* (pow a 2) c) (pow b 7))) (* -9/16 (/ a (pow b 5))))) (* 3/8 (/ 1 (pow b 3)))))
(* (pow c 2) (- (* c (+ (* -135/128 (/ (* (pow a 2) c) (pow b 7))) (* -9/16 (/ a (pow b 5))))) (* 3/8 (/ 1 (pow b 3)))))
(* -9/16 (/ (pow c 3) (pow b 5)))
(* (pow c 3) (- (* -135/128 (/ (* a c) (pow b 7))) (* 9/16 (/ 1 (pow b 5)))))
(* (pow c 3) (- (* -135/128 (/ (* a c) (pow b 7))) (* 9/16 (/ 1 (pow b 5)))))
(* (pow c 3) (- (* -135/128 (/ (* a c) (pow b 7))) (* 9/16 (/ 1 (pow b 5)))))
(* -1/2 (/ c b))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))
(* -1/2 (/ c b))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(* -1/2 (/ c b))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))
(* -2/3 (/ b c))
(/ (+ (* -2/3 b) (* 1/2 (/ (* a c) b))) c)
(/ (+ (* -2/3 b) (* c (- (* -1 (* c (+ (* -3/4 (/ (pow a 2) (pow b 3))) (* 3/8 (/ (pow a 2) (pow b 3)))))) (* -1/2 (/ a b))))) c)
(/ (+ (* -2/3 b) (* c (- (* c (- (* -1 (* c (+ (* -3/4 (/ (* a (+ (* -3/4 (/ (pow a 2) (pow b 3))) (* 3/8 (/ (pow a 2) (pow b 3))))) (pow b 2))) (+ (* -2/9 (/ (* b (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) a)) (* 9/16 (/ (pow a 3) (pow b 5))))))) (+ (* -3/4 (/ (pow a 2) (pow b 3))) (* 3/8 (/ (pow a 2) (pow b 3)))))) (* -1/2 (/ a b))))) c)
(* -3/2 (/ (* a c) b))
(* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b))))))))
b
(+ b (* -3/2 (/ (* a c) b)))
(+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))))
(* -1/2 (/ c b))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))
(* -2 (/ b (* a c)))
(/ (+ (* -2 (/ b a)) (* 3/2 (/ c b))) c)
(/ (+ (* -2 (/ b a)) (* c (+ (* -1 (* c (+ (* -9/4 (/ a (pow b 3))) (* 9/8 (/ a (pow b 3)))))) (* 3/2 (/ 1 b))))) c)
(/ (+ (* -2 (/ b a)) (* c (+ (* c (- (* -1 (* c (+ (* -3/4 (/ (* a (+ (* -9/4 (/ a (pow b 3))) (* 9/8 (/ a (pow b 3))))) (pow b 2))) (+ (* -2/3 (/ (* b (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (pow a 2))) (* 27/16 (/ (pow a 2) (pow b 5))))))) (+ (* -9/4 (/ a (pow b 3))) (* 9/8 (/ a (pow b 3)))))) (* 3/2 (/ 1 b))))) c)
(* -2/3 (/ b (* a c)))
(/ (+ (* -2/3 (/ b a)) (* 1/2 (/ c b))) c)
(/ (+ (* -2/3 (/ b a)) (* c (+ (* -1 (* c (+ (* -3/4 (/ a (pow b 3))) (* 3/8 (/ a (pow b 3)))))) (* 1/2 (/ 1 b))))) c)
(/ (+ (* -2/3 (/ b a)) (* c (+ (* c (- (* -1 (* c (+ (* -3/4 (/ (* a (+ (* -3/4 (/ a (pow b 3))) (* 3/8 (/ a (pow b 3))))) (pow b 2))) (+ (* -2/9 (/ (* b (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (pow a 2))) (* 9/16 (/ (pow a 2) (pow b 5))))))) (+ (* -3/4 (/ a (pow b 3))) (* 3/8 (/ a (pow b 3)))))) (* 1/2 (/ 1 b))))) c)
(* -3/8 (/ a (pow b 3)))
(+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))
(+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))
(+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))
(* -1/2 (/ c b))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))
(* -1/2 (/ c b))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(/ -1/2 b)
(- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))
(- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))
(- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))
(/ (pow c 3) (pow b 5))
(/ (pow c 3) (pow b 5))
(/ (pow c 3) (pow b 5))
(/ (pow c 3) (pow b 5))
(pow b 2)
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(* 3/2 (/ (* a c) b))
(* c (- (* 9/8 (/ (* (pow a 2) c) (pow b 3))) (* -3/2 (/ a b))))
(* c (- (* c (- (* 27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))) (* -3/2 (/ a b))))
(* c (- (* c (- (* c (- (* 1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)) (* -27/16 (/ (pow a 3) (pow b 5))))) (* -9/8 (/ (pow a 2) (pow b 3))))) (* -3/2 (/ a b))))
(* 405/64 (/ (pow c 4) (pow b 7)))
(* 405/64 (/ (pow c 4) (pow b 7)))
(* 405/64 (/ (pow c 4) (pow b 7)))
(* 405/64 (/ (pow c 4) (pow b 7)))
(* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 7)))
(* (pow c 4) (+ (* -135/128 (/ (pow a 2) (pow b 7))) (* -9/16 (/ a (* (pow b 5) c)))))
(* (pow c 4) (- (+ (* -135/128 (/ (pow a 2) (pow b 7))) (* -9/16 (/ a (* (pow b 5) c)))) (/ 3/8 (* (pow b 3) (pow c 2)))))
(* (pow c 4) (- (+ (* -135/128 (/ (pow a 2) (pow b 7))) (* -9/16 (/ a (* (pow b 5) c)))) (/ 3/8 (* (pow b 3) (pow c 2)))))
(* -135/128 (/ (* a (pow c 4)) (pow b 7)))
(* (pow c 4) (- (* -135/128 (/ a (pow b 7))) (* 9/16 (/ 1 (* (pow b 5) c)))))
(* (pow c 4) (- (* -135/128 (/ a (pow b 7))) (* 9/16 (/ 1 (* (pow b 5) c)))))
(* (pow c 4) (- (* -135/128 (/ a (pow b 7))) (* 9/16 (/ 1 (* (pow b 5) c)))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))
(* (sqrt (/ a c)) (/ 1 (sqrt -3)))
(/ (+ (* (sqrt (* a c)) (/ 1 (sqrt -3))) (/ b (pow (sqrt -3) 2))) c)
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3))))) (pow c 2))) (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (* -1 (/ b (pow (sqrt -3) 2)))) c)
(/ (- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow b 3) (pow c 2)) (* a (pow (sqrt -3) 4)))) (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3)))) (pow c 3))) (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* -1 (/ b (pow (sqrt -3) 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3))))))) c)
(* (sqrt (* a c)) (sqrt -3))
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c)))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c)))
(* (sqrt (* a c)) (sqrt -3))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))))
(* 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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(* 3 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3))))
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(* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))
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(* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c)))))
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(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
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(* -9/16 (/ (* (pow a 2) (pow c 2)) (pow b 5)))
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(/ c b)
(/ c b)
(/ c b)
(/ 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))))))
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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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(* -3 (* (sqrt (/ 1 (* a c))) (/ (sqrt -1) (sqrt 3))))
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(* -9/16 (/ (* (pow a 2) c) (pow b 5)))
(* -1 (* c (+ (* 3/8 (/ a (* (pow b 3) c))) (* 9/16 (/ (pow a 2) (pow b 5))))))
(* -1 (* c (+ (* 3/8 (/ a (* (pow b 3) c))) (* 9/16 (/ (pow a 2) (pow b 5))))))
(* -1 (* c (+ (* 3/8 (/ a (* (pow b 3) c))) (* 9/16 (/ (pow a 2) (pow b 5))))))
(* -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)))))))
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 5)))
(* -1 (* (pow c 3) (+ (* 3/8 (/ a (* (pow b 3) c))) (* 9/16 (/ (pow a 2) (pow b 5))))))
(* -1 (* (pow c 3) (+ (* -1 (/ (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))) c)) (* 9/16 (/ (pow a 2) (pow b 5))))))
(* -1 (* (pow c 3) (+ (* -1 (/ (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))) c)) (* 9/16 (/ (pow a 2) (pow b 5))))))
(* -9/16 (/ (* (pow a 2) (pow c 2)) (pow b 5)))
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(* (pow c 2) (+ (* -1 (/ (+ (* 3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))) c)) (* -9/16 (/ (pow a 2) (pow b 5)))))
(/ (pow c 3) (pow b 5))
(/ (pow c 3) (pow b 5))
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(/ (pow c 3) (pow b 5))
(* -3 (* a c))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a))))
(* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))
(* -1 (* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* c (- (* -1 (/ (+ b (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))
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(/ (+ (* -135/128 (* (pow a 2) (pow c 4))) (* (pow b 2) (+ (* -9/16 (* a (pow c 3))) (* -3/8 (* (pow b 2) (pow c 2)))))) (pow b 7))
(/ (+ (* -135/128 (* (pow a 2) (pow c 4))) (* (pow b 2) (+ (* -9/16 (* a (pow c 3))) (* -3/8 (* (pow b 2) (pow c 2)))))) (pow b 7))
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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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(/ c b)
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(* (sqrt (/ a c)) (/ 1 (sqrt -3)))
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(* (sqrt (* a c)) (sqrt -3))
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(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3)))
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(* (sqrt (* a c)) (sqrt -3))
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b
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b
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(* -1 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3))))
(+ (* -1 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ b (* c (pow (sqrt 3) 2)))))
(+ (* -1 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* -1 (/ (* a b) (* c (pow (sqrt 3) 2))))) a)))
(+ (* -1 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* a (pow b 3)) (* (pow c 2) (pow (sqrt 3) 4)))) (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) (sqrt 3)))) (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* -1 (/ (* a b) (* c (pow (sqrt 3) 2))))) a)))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(* -3 (* (sqrt (/ 1 (* a c))) (/ (sqrt -1) (sqrt 3))))
(* -1 (/ (+ (* 3 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3)))) (* 3 (/ b (* c (pow (sqrt 3) 2))))) a))
(* -1 (/ (+ (* -1 (/ (- (+ (* -3 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3/2 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) (* 3 (/ (* a b) (* c (pow (sqrt 3) 2))))) a)) (* 3 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3))))) a))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 3/2 (/ (* a (pow b 3)) (* (pow c 2) (pow (sqrt 3) 4)))) (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (+ (* -3 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (+ (* -3 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) a)) (* 3 (/ (* a b) (* c (pow (sqrt 3) 2))))) a)) (* 3 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3))))) a))
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(* -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) c) (pow b 5)))
(* (pow a 2) (- (* -9/16 (/ c (pow b 5))) (* 3/8 (/ 1 (* a (pow b 3))))))
(* (pow a 2) (- (* -9/16 (/ c (pow b 5))) (* 3/8 (/ 1 (* a (pow b 3))))))
(* (pow a 2) (- (* -9/16 (/ c (pow b 5))) (* 3/8 (/ 1 (* a (pow b 3))))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 5)))
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -3/8 (/ (pow c 2) (* a (pow b 3))))))
(* (pow a 2) (+ (* -1 (/ (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))) a)) (* -9/16 (/ (pow c 3) (pow b 5)))))
(* (pow a 2) (+ (* -1 (/ (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))) a)) (* -9/16 (/ (pow c 3) (pow b 5)))))
(* -9/16 (/ (* (pow a 2) (pow c 2)) (pow b 5)))
(* (pow a 2) (+ (* -9/16 (/ (pow c 2) (pow b 5))) (* -3/8 (/ c (* a (pow b 3))))))
(* (pow a 2) (+ (* -1 (/ (+ (* 3/8 (/ c (pow b 3))) (* 1/2 (/ 1 (* a b)))) a)) (* -9/16 (/ (pow c 2) (pow b 5)))))
(* (pow a 2) (+ (* -1 (/ (+ (* 3/8 (/ c (pow b 3))) (* 1/2 (/ 1 (* a b)))) a)) (* -9/16 (/ (pow c 2) (pow b 5)))))
(* -1/6 a)
(* -1/6 a)
(* -1/6 a)
(* -1/6 a)
(* -3 (* a c))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))
(* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))
(* -1 (* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* a (- (* -1 (/ (+ b (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* a (- (* -1 (/ (+ b (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(/ a (pow b 3))
(/ a (pow b 3))
(/ a (pow b 3))
(/ a (pow b 3))
Outputs
(* 405/64 (/ (pow c 4) (pow b 7)))
(/.f64 (*.f64 #s(literal 405/64 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 7 binary64)))
(* 405/64 (/ (pow c 4) (pow b 7)))
(/.f64 (*.f64 #s(literal 405/64 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 7 binary64)))
(* 405/64 (/ (pow c 4) (pow b 7)))
(/.f64 (*.f64 #s(literal 405/64 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 7 binary64)))
(* 405/64 (/ (pow c 4) (pow b 7)))
(/.f64 (*.f64 #s(literal 405/64 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 7 binary64)))
(* -3/8 (/ (pow c 2) (pow b 3)))
(/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))
(* (pow c 2) (- (* -9/16 (/ (* a c) (pow b 5))) (* 3/8 (/ 1 (pow b 3)))))
(*.f64 (-.f64 (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a c)) (pow.f64 b #s(literal 5 binary64))) (/.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 b b) b))) (*.f64 c c))
(* (pow c 2) (- (* c (+ (* -135/128 (/ (* (pow a 2) c) (pow b 7))) (* -9/16 (/ a (pow b 5))))) (* 3/8 (/ 1 (pow b 3)))))
(*.f64 (fma.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 7 binary64)))) c (neg.f64 (/.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 b b) b)))) (*.f64 c c))
(* (pow c 2) (- (* c (+ (* -135/128 (/ (* (pow a 2) c) (pow b 7))) (* -9/16 (/ a (pow b 5))))) (* 3/8 (/ 1 (pow b 3)))))
(*.f64 (fma.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 7 binary64)))) c (neg.f64 (/.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 b b) b)))) (*.f64 c c))
(* -9/16 (/ (pow c 3) (pow b 5)))
(/.f64 (*.f64 (*.f64 (*.f64 c c) c) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))
(* (pow c 3) (- (* -135/128 (/ (* a c) (pow b 7))) (* 9/16 (/ 1 (pow b 5)))))
(*.f64 (-.f64 (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a c)) (pow.f64 b #s(literal 7 binary64))) (/.f64 #s(literal 9/16 binary64) (pow.f64 b #s(literal 5 binary64)))) (*.f64 (*.f64 c c) c))
(* (pow c 3) (- (* -135/128 (/ (* a c) (pow b 7))) (* 9/16 (/ 1 (pow b 5)))))
(*.f64 (-.f64 (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a c)) (pow.f64 b #s(literal 7 binary64))) (/.f64 #s(literal 9/16 binary64) (pow.f64 b #s(literal 5 binary64)))) (*.f64 (*.f64 c c) c))
(* (pow c 3) (- (* -135/128 (/ (* a c) (pow b 7))) (* 9/16 (/ 1 (pow b 5)))))
(*.f64 (-.f64 (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a c)) (pow.f64 b #s(literal 7 binary64))) (/.f64 #s(literal 9/16 binary64) (pow.f64 b #s(literal 5 binary64)))) (*.f64 (*.f64 c c) 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 (-.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b)) (/.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 (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (neg.f64 (/.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 c (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) c (neg.f64 (/.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 (-.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b)) (/.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 (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (neg.f64 (/.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 c (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) c (neg.f64 (/.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))
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c 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 (-.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b)) (/.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 (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (neg.f64 (/.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 c (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) c (neg.f64 (/.f64 #s(literal 1/2 binary64) b))) c)
(* -2/3 (/ b c))
(*.f64 (/.f64 b c) #s(literal -2/3 binary64))
(/ (+ (* -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)) (*.f64 (*.f64 b b) b)) 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 a (/.f64 (*.f64 (/.f64 (*.f64 a a) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) (*.f64 b b))) #s(literal -3/4 binary64) (fma.f64 (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) a)) #s(literal -2/9 binary64) (/.f64 (*.f64 #s(literal 9/16 binary64) (*.f64 (*.f64 a a) a)) (pow.f64 b #s(literal 5 binary64))))) (/.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 a a)) (*.f64 (*.f64 b b) b))) c (*.f64 (/.f64 a b) #s(literal 1/2 binary64))) c (*.f64 #s(literal -2/3 binary64) b)) c)
(* -3/2 (/ (* a c) b))
(*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)))
(* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))
(*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) c) (*.f64 (*.f64 b b) b)) #s(literal -9/8 binary64) (*.f64 #s(literal -3/2 binary64) (/.f64 a b))) 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 (*.f64 (*.f64 a a) a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -27/16 binary64) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (*.f64 (*.f64 b b) b))) c (*.f64 #s(literal -3/2 binary64) (/.f64 a b))) 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 c (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) b)) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 (*.f64 a a) a)) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (*.f64 (*.f64 b b) b))) c (*.f64 #s(literal -3/2 binary64) (/.f64 a b))) c)
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 (*.f64 a a) c) (*.f64 (*.f64 b b) b)) #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))))))))
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(* -1/2 (/ c b))
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(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 3/2 (/ (* a (pow b 3)) (* (pow c 2) (pow (sqrt 3) 4)))) (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (+ (* -3 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (+ (* -3 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) a)) (* 3 (/ (* a b) (* c (pow (sqrt 3) 2))))) a)) (* 3 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3))))) a))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 (/.f64 a c))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))) (/.f64 (-.f64 (/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 a (*.f64 (*.f64 b b) b)) (*.f64 (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 4 binary64)) (*.f64 c c))) #s(literal 3/2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64)))) #s(literal -3/2 binary64))) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64)))) #s(literal 3/2 binary64))))) a) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 a b) c))) a))) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(* -1 (* (sqrt (/ 1 (* a c))) (/ (sqrt -1) (sqrt 3))))
(*.f64 (neg.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))))
(* -1 (/ (+ (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3))) (/ b (* c (pow (sqrt 3) 2)))) a))
(/.f64 (neg.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (/.f64 a c)) (/.f64 b (*.f64 #s(literal 3 binary64) c)))) 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))
(/.f64 (neg.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (/.f64 a c))) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 a (*.f64 (*.f64 c c) c)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64))) (*.f64 a (*.f64 #s(literal -1/3 binary64) (/.f64 b c)))) a))) 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))
(/.f64 (neg.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (/.f64 a c))) (/.f64 (-.f64 (/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 a (*.f64 (*.f64 b b) b)) (*.f64 (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 4 binary64)) (*.f64 c c))) #s(literal 1/2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64)))) #s(literal -1/2 binary64))) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64)))) #s(literal 1/2 binary64))))) a) (*.f64 a (/.f64 b (*.f64 #s(literal 3 binary64) c)))) a))) a)
(* -9/16 (/ (* (pow a 2) c) (pow b 5)))
(/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))
(* (pow a 2) (- (* -9/16 (/ c (pow b 5))) (* 3/8 (/ 1 (* a (pow b 3))))))
(*.f64 (-.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64)) (/.f64 #s(literal 3/8 binary64) (*.f64 a (*.f64 (*.f64 b b) b)))) (*.f64 a a))
(* (pow a 2) (- (* -9/16 (/ c (pow b 5))) (* 3/8 (/ 1 (* a (pow b 3))))))
(*.f64 (-.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64)) (/.f64 #s(literal 3/8 binary64) (*.f64 a (*.f64 (*.f64 b b) b)))) (*.f64 a a))
(* (pow a 2) (- (* -9/16 (/ c (pow b 5))) (* 3/8 (/ 1 (* a (pow b 3))))))
(*.f64 (-.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64)) (/.f64 #s(literal 3/8 binary64) (*.f64 a (*.f64 (*.f64 b b) b)))) (*.f64 a a))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))))
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))
(*.f64 #s(literal -1/3 binary64) (fma.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (/.f64 b a)))
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(-.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (*.f64 #s(literal 1/3 binary64) b)) a))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(-.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 (-.f64 (*.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 (*.f64 (*.f64 c c) c) 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))))) a)) a))
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 5)))
(*.f64 (*.f64 (*.f64 a a) (/.f64 (*.f64 (*.f64 c c) c) (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 (*.f64 c c) (*.f64 a (*.f64 (*.f64 b b) b))) #s(literal -3/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 c c) c) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) (*.f64 a a))
(* (pow a 2) (+ (* -1 (/ (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))) a)) (* -9/16 (/ (pow c 3) (pow b 5)))))
(*.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) c) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (fma.f64 (/.f64 c (*.f64 a b)) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 c c)) (*.f64 (*.f64 b b) b))) 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 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) c) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (fma.f64 (/.f64 c (*.f64 a b)) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 c c)) (*.f64 (*.f64 b b) b))) a)) (*.f64 a a))
(* -9/16 (/ (* (pow a 2) (pow c 2)) (pow b 5)))
(*.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64))
(* (pow a 2) (+ (* -9/16 (/ (pow c 2) (pow b 5))) (* -3/8 (/ c (* a (pow b 3))))))
(*.f64 (fma.f64 (/.f64 c (*.f64 a (*.f64 (*.f64 b b) b))) #s(literal -3/8 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 c c)) (pow.f64 b #s(literal 5 binary64)))) (*.f64 a a))
(* (pow a 2) (+ (* -1 (/ (+ (* 3/8 (/ c (pow b 3))) (* 1/2 (/ 1 (* a b)))) a)) (* -9/16 (/ (pow c 2) (pow b 5)))))
(*.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 b b) b)) #s(literal 3/8 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 a b))) a))) (*.f64 a a))
(* (pow a 2) (+ (* -1 (/ (+ (* 3/8 (/ c (pow b 3))) (* 1/2 (/ 1 (* a b)))) a)) (* -9/16 (/ (pow c 2) (pow b 5)))))
(*.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 b b) b)) #s(literal 3/8 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 a b))) a))) (*.f64 a a))
(* -1/6 a)
(*.f64 #s(literal -1/6 binary64) a)
(* -1/6 a)
(*.f64 #s(literal -1/6 binary64) a)
(* -1/6 a)
(*.f64 #s(literal -1/6 binary64) a)
(* -1/6 a)
(*.f64 #s(literal -1/6 binary64) a)
(* -3 (* a 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 (neg.f64 (/.f64 (*.f64 b b) a))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))
(*.f64 (neg.f64 a) (fma.f64 #s(literal 3 binary64) c (neg.f64 (/.f64 (*.f64 b b) a))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))
(*.f64 (neg.f64 a) (fma.f64 #s(literal 3 binary64) c (neg.f64 (/.f64 (*.f64 b b) a))))
(* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64)))
(* -1 (* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(*.f64 (neg.f64 a) (-.f64 (/.f64 (neg.f64 b) a) (*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64)))))
(* -1 (* a (- (* -1 (/ (+ b (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(*.f64 (neg.f64 a) (-.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) b)) a) (*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64)))))
(* -1 (* a (- (* -1 (/ (+ b (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(*.f64 (neg.f64 a) (-.f64 (/.f64 (neg.f64 (-.f64 b (/.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) c) a)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64))) (*.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (/.f64 a c))) #s(literal -1/2 binary64))) a))) a) (*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64)))))
(/ a (pow b 3))
(/.f64 a (*.f64 (*.f64 b b) b))
(/ a (pow b 3))
(/.f64 a (*.f64 (*.f64 b b) b))
(/ a (pow b 3))
(/.f64 a (*.f64 (*.f64 b b) b))
(/ a (pow b 3))
(/.f64 a (*.f64 (*.f64 b b) b))

rewrite294.0ms (2.5%)

Memory
15.6MiB live, 492.3MiB allocated
Rules
5 988×lower-*.f32
5 958×lower-*.f64
4 864×lower-fma.f32
4 852×lower-fma.f64
3 538×lower-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
067429
0113407
1426385
23367385
09500385
Stop Event
iter limit
node limit
iter limit
Counts
25 → 1 021
Calls
Call 1
Inputs
(*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b))
(fma.f64 (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 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b)))
(fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 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 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
(/.f64 c b)
(/.f64 #s(literal 1/3 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
(/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))
(/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) #s(literal 3 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) #s(literal 3 binary64))
(/.f64 #s(literal 1 binary64) a)
(/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))
(fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c))
(*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)
(fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b))
(*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64))))
(*.f64 #s(literal -1/6 binary64) a)
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))
(-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))
(/.f64 a (*.f64 (*.f64 b b) b))
(*.f64 (*.f64 b b) b)
Outputs
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (*.f64 (*.f64 b b) b)) (/.f64 (/.f64 #s(literal 405/64 binary64) b) (*.f64 (*.f64 b b) b)))
(*.f64 (*.f64 (/.f64 #s(literal 405/64 binary64) b) (*.f64 (*.f64 (*.f64 c c) c) c)) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))))
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(fma.f64 (*.f64 (neg.f64 b) #s(literal -1 binary64)) b (*.f64 (*.f64 #s(literal -3 binary64) c) a))
(fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))
(fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))
(fma.f64 (neg.f64 c) (*.f64 #s(literal 3 binary64) a) (*.f64 b b))
(fma.f64 #s(literal -1 binary64) (*.f64 b (neg.f64 b)) (*.f64 (*.f64 #s(literal -3 binary64) c) a))
(fma.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(literal 3 binary64) a) c) (*.f64 b b))
(fma.f64 #s(literal 1 binary64) (*.f64 b b) (*.f64 (*.f64 #s(literal -3 binary64) c) a))
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))
(fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))
(fma.f64 (*.f64 #s(literal 3 binary64) a) (neg.f64 c) (*.f64 b b))
(fma.f64 #s(literal 3 binary64) (neg.f64 (*.f64 a c)) (*.f64 b b))
(fma.f64 (neg.f64 b) (neg.f64 b) (*.f64 (*.f64 #s(literal -3 binary64) c) a))
(fma.f64 (*.f64 b b) #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -3 binary64) c) a))
(fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))
(fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))
(fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b))
(sqrt.f64 (*.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 (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 9 binary64)) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 (neg.f64 b) b))) (/.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 (neg.f64 b) b))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 9 binary64)) (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)) (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) c) (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (*.f64 (*.f64 (*.f64 b b) b) b))) (/.f64 (*.f64 (*.f64 #s(literal 27 binary64) (*.f64 (*.f64 a a) a)) (*.f64 (*.f64 c c) c)) (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) c) (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (*.f64 (*.f64 (*.f64 b b) b) b))))
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))
(fabs.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))
(exp.f64 (*.f64 (log.f64 (*.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)))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))
(+.f64 (*.f64 (*.f64 #s(literal -3 binary64) c) a) (*.f64 b b))
(+.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal -3 binary64) c) a))
(*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
(*.f64 (-.f64 (*.f64 (*.f64 b b) b) (*.f64 (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 1 binary64) (fma.f64 b b (fma.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))))))
(pow.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (-.f64 (*.f64 (*.f64 b b) b) (*.f64 (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))))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 b b) b) (*.f64 (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))))) (neg.f64 (fma.f64 b b (fma.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 (neg.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
(/.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (-.f64 b (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))
(/.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))
(/.f64 (-.f64 (*.f64 (*.f64 b b) b) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (fma.f64 b b (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))))
(/.f64 (-.f64 (*.f64 (*.f64 b b) b) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (-.f64 (*.f64 (*.f64 b b) b) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))
(fma.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)
(-.f64 (/.f64 (*.f64 b b) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
(-.f64 (/.f64 (*.f64 (*.f64 b b) b) (fma.f64 b b (fma.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 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (fma.f64 b b (fma.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 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))
(+.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) b)
(+.f64 b (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (pow.f64 (/.f64 b a) #s(literal -1 binary64)))
(*.f64 (/.f64 a (*.f64 b b)) (/.f64 #s(literal 1 binary64) b))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 b b) b)) a)
(*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 a (*.f64 b b)))
(*.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 b b) b)))
(*.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (*.f64 b b) b)))
(*.f64 a (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 b b) b)))
(pow.f64 (/.f64 b (/.f64 a (*.f64 b b))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (*.f64 (*.f64 b b) b) a) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (*.f64 b b) b) a) #s(literal -1 binary64))
(/.f64 (/.f64 a b) (*.f64 b b))
(/.f64 (neg.f64 (/.f64 a (*.f64 b b))) (neg.f64 b))
(/.f64 (neg.f64 (neg.f64 a)) (*.f64 (*.f64 b b) b))
(/.f64 (/.f64 a (*.f64 b b)) b)
(/.f64 (neg.f64 a) (*.f64 (*.f64 b b) b))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 b b) b) a)))
(/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 a (*.f64 b b))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 b b) b) a) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 b b) b) a))
(/.f64 a (*.f64 (*.f64 b b) b))
(neg.f64 (/.f64 a (*.f64 (*.f64 b b) b)))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (*.f64 b b) b) a)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 (neg.f64 b) #s(literal -1 binary64)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3/2 binary64)))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64)) (pow.f64 (*.f64 b (neg.f64 b)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (*.f64 (*.f64 b b) b))
(*.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (neg.f64 b) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 b) #s(literal 3/2 binary64)))
(*.f64 (neg.f64 (*.f64 b b)) b)
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 b b) b))
(*.f64 (neg.f64 b) (*.f64 b b))
(*.f64 (*.f64 (*.f64 b b) b) #s(literal -1 binary64))
(*.f64 (*.f64 b b) (neg.f64 b))
(*.f64 (*.f64 b b) b)
(*.f64 b (neg.f64 (*.f64 b b)))
(*.f64 b (*.f64 b b))
(pow.f64 (exp.f64 (log.f64 (neg.f64 b))) #s(literal 3 binary64))
(pow.f64 (pow.f64 b #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (neg.f64 b) #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (neg.f64 b) #s(literal 3 binary64))
(pow.f64 (*.f64 b b) #s(literal 3/2 binary64))
(pow.f64 b #s(literal 3 binary64))
(/.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 0 binary64) b) #s(literal 3 binary64)))
(/.f64 (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))) (pow.f64 (+.f64 #s(literal 0 binary64) (fma.f64 b b (*.f64 #s(literal 0 binary64) b))) #s(literal 3 binary64)))
(neg.f64 (*.f64 (*.f64 b b) b))
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 b b) b))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 b)) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 b) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 b)) #s(literal 3 binary64)))

eval443.0ms (3.8%)

Memory
35.4MiB live, 730.7MiB allocated
Compiler

Compiled 113 972 to 6 365 computations (94.4% saved)

prune343.0ms (2.9%)

Memory
-47.1MiB live, 609.6MiB allocated
Pruning

64 alts after pruning (62 fresh and 2 done)

PrunedKeptTotal
New2 015462 061
Fresh181634
Picked325
Done000
Total2 036642 100
Accuracy
99.7%
Counts
2 100 → 64
Alt Table
Click to see full alt table
StatusAccuracyProgram
32.8%
(fma.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (neg.f64 b)))
31.4%
(/.f64 (pow.f64 (pow.f64 a #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) #s(literal 3 binary64)))
30.6%
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 (*.f64 (*.f64 c a) c) a) (*.f64 (*.f64 (*.f64 b b) b) b))) 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))
31.5%
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64))
31.4%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) (*.f64 #s(literal 3 binary64) a))
31.5%
(/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))))) #s(literal 3 binary64)))
32.2%
(/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))) #s(literal 3 binary64)))
32.1%
(/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 #s(literal -3 binary64) (-.f64 (*.f64 (*.f64 b b) b) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) (fma.f64 b b (fma.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))))))
32.2%
(/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) #s(literal 3 binary64)))
95.5%
(/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 a) (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 c (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) c) (*.f64 b b)) #s(literal -3/4 binary64) (fma.f64 (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 c c))) #s(literal -2/9 binary64) (/.f64 (*.f64 #s(literal 9/16 binary64) (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))))) (*.f64 (/.f64 c (*.f64 (*.f64 b b) b)) #s(literal 3/8 binary64))) a (/.f64 #s(literal 1/2 binary64) b)) a (*.f64 (/.f64 b c) #s(literal -2/3 binary64))) a)) #s(literal 3 binary64)))
93.9%
(/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (/.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 c (*.f64 (*.f64 b b) b)) #s(literal 3/8 binary64)) a (/.f64 #s(literal 1/2 binary64) b)) a (*.f64 (/.f64 b c) #s(literal -2/3 binary64))) a)) #s(literal 3 binary64)))
94.0%
(/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (/.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal 3/8 binary64)) c (/.f64 #s(literal 1/2 binary64) b)) c (*.f64 (/.f64 b a) #s(literal -2/3 binary64))) c)) #s(literal 3 binary64)))
90.1%
(/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (/.f64 (fma.f64 (/.f64 a b) #s(literal 1/2 binary64) (*.f64 (/.f64 b c) #s(literal -2/3 binary64))) a)) #s(literal 3 binary64)))
90.2%
(/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) (*.f64 a c))) b)) #s(literal 3 binary64)))
95.6%
(/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 (fma.f64 (*.f64 #s(literal -3/4 binary64) a) (*.f64 (*.f64 (*.f64 a c) #s(literal -3/8 binary64)) c) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) #s(literal 405/64 binary64)) (*.f64 (*.f64 a a) (*.f64 c c))) #s(literal -2/9 binary64) (*.f64 (*.f64 #s(literal 9/16 binary64) (*.f64 a a)) (*.f64 c c)))) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (*.f64 a (/.f64 c (pow.f64 b #s(literal 4 binary64)))) #s(literal -3/4 binary64) (fma.f64 (*.f64 a (/.f64 c (pow.f64 b #s(literal 4 binary64)))) #s(literal 3/8 binary64) (/.f64 #s(literal 2/3 binary64) (*.f64 a c))))) b)) #s(literal 3 binary64)))
95.7%
(/.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (/.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 a) (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 c (*.f64 (*.f64 b b) b)) #s(literal -9/8 binary64)) c) (*.f64 b b)) #s(literal -3/4 binary64) (fma.f64 (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 c c))) #s(literal -2/3 binary64) (/.f64 (*.f64 #s(literal 27/16 binary64) (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))))) (*.f64 (/.f64 c (*.f64 (*.f64 b b) b)) #s(literal 9/8 binary64))) a (/.f64 #s(literal 3/2 binary64) b)) a (*.f64 #s(literal -2 binary64) (/.f64 b c))) a)))
94.2%
(/.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (/.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 c (*.f64 (*.f64 b b) b)) #s(literal 9/8 binary64)) a (/.f64 #s(literal 3/2 binary64) b)) a (*.f64 #s(literal -2 binary64) (/.f64 b c))) a)))
90.3%
(/.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (/.f64 (fma.f64 #s(literal 3/2 binary64) (/.f64 a b) (*.f64 #s(literal -2 binary64) (/.f64 b c))) a)))
90.3%
(/.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (*.f64 (-.f64 (/.f64 #s(literal 3/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2 binary64) (*.f64 a c))) b)))
32.1%
(/.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))
31.4%
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64)))
31.5%
(/.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))
31.5%
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) #s(literal 3 binary64))
32.2%
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.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)))
31.4%
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a)
31.4%
(/.f64 (exp.f64 (*.f64 (log.f64 a) #s(literal -1 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) #s(literal 3 binary64)))
89.9%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 c #s(literal -9/8 binary64)) (/.f64 (*.f64 a a) (*.f64 (*.f64 b b) b)) (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c)) (*.f64 #s(literal 3 binary64) a))
80.7%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 c b) #s(literal -3/2 binary64)) a)) (*.f64 #s(literal 3 binary64) a))
31.4%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 3 binary64)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
32.8%
(/.f64 #s(literal 1/3 binary64) (/.f64 a (fma.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)))) (neg.f64 b))))
32.2%
(/.f64 #s(literal 1/3 binary64) (/.f64 a (fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (neg.f64 b))))
33.0%
(/.f64 #s(literal 1/3 binary64) (/.f64 a (/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (*.f64 (+.f64 #s(literal 0 binary64) b) (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) (*.f64 (+.f64 #s(literal 0 binary64) b) (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)))))))
32.8%
(/.f64 #s(literal 1/3 binary64) (/.f64 a (/.f64 (fma.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (+.f64 #s(literal 0 binary64) b) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (-.f64 #s(literal 0 binary64) (*.f64 b b)))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (+.f64 #s(literal 0 binary64) b)))))
32.1%
(/.f64 #s(literal 1/3 binary64) (/.f64 a (/.f64 (-.f64 (*.f64 (*.f64 b b) b) (*.f64 (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)))) (neg.f64 (fma.f64 b b (fma.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))))))))
31.8%
(/.f64 #s(literal 1/3 binary64) (/.f64 a (-.f64 (/.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (/.f64 (*.f64 (*.f64 b b) b) (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))))
31.4%
(/.f64 #s(literal 1/3 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
31.5%
(/.f64 #s(literal 1/3 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))) b)))
32.1%
(/.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)))
31.4%
(/.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) a))
95.8%
(/.f64 #s(literal 1/3 binary64) #s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (fma.f64 (fma.f64 (fma.f64 (neg.f64 a) (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 c (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) c) (*.f64 b b)) #s(literal -3/4 binary64) (fma.f64 (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 c c))) #s(literal -2/9 binary64) (/.f64 (*.f64 #s(literal 9/16 binary64) (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))))) (*.f64 (/.f64 c (*.f64 (*.f64 b b) b)) #s(literal 3/8 binary64))) a (/.f64 #s(literal 1/2 binary64) b)) a (*.f64 (/.f64 b c) #s(literal -2/3 binary64)))))
94.2%
(/.f64 #s(literal 1/3 binary64) #s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (fma.f64 (fma.f64 (*.f64 (/.f64 c (*.f64 (*.f64 b b) b)) #s(literal 3/8 binary64)) a (/.f64 #s(literal 1/2 binary64) b)) a (*.f64 (/.f64 b c) #s(literal -2/3 binary64)))))
90.4%
(/.f64 #s(literal 1/3 binary64) #s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (fma.f64 (/.f64 a b) #s(literal 1/2 binary64) (*.f64 (/.f64 b c) #s(literal -2/3 binary64)))))
95.8%
(/.f64 #s(literal 1/3 binary64) #s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 c) (fma.f64 (*.f64 a (/.f64 (*.f64 (/.f64 (*.f64 a a) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) (*.f64 b b))) #s(literal -3/4 binary64) (fma.f64 (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) a)) #s(literal -2/9 binary64) (/.f64 (*.f64 #s(literal 9/16 binary64) (*.f64 (*.f64 a a) a)) (pow.f64 b #s(literal 5 binary64))))) (/.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 a a)) (*.f64 (*.f64 b b) b))) c (*.f64 (/.f64 a b) #s(literal 1/2 binary64))) c (*.f64 #s(literal -2/3 binary64) b)) c)))
94.3%
(/.f64 #s(literal 1/3 binary64) #s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (/.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 a a)) (*.f64 (*.f64 b b) b)) c (*.f64 (/.f64 a b) #s(literal 1/2 binary64))) c (*.f64 #s(literal -2/3 binary64) b)) c)))
90.4%
(/.f64 #s(literal 1/3 binary64) #s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (/.f64 (fma.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64) (*.f64 #s(literal -2/3 binary64) b)) c)))
80.7%
(/.f64 #s(literal 1/3 binary64) #s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (*.f64 (/.f64 b c) #s(literal -2/3 binary64))))
90.4%
(/.f64 #s(literal 1/3 binary64) #s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (*.f64 (-.f64 (*.f64 (/.f64 a (*.f64 b b)) #s(literal 1/2 binary64)) (/.f64 #s(literal 2/3 binary64) c)) b)))
30.8%
(-.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))))
31.1%
(+.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (neg.f64 b)))
31.5%
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -3 binary64)) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))
31.4%
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 1/3 binary64))
31.5%
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))
31.4%
(*.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) a)))
31.4%
(*.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))))
90.4%
#s(approx (/ (/ 1 a) (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3)) (/.f64 (fma.f64 (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) #s(literal -3/8 binary64) (*.f64 #s(literal -1/2 binary64) c)) b))
96.1%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 c c) #s(literal -9/16 binary64)) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
94.4%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (* (* (* c c) (/ c (pow b 5))) -9/16)) a) (/ (* (* c c) -3/8) (* (* b b) b))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) c) a) (*.f64 b b)) #s(literal -9/16 binary64) (*.f64 (*.f64 c c) #s(literal -3/8 binary64))) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
80.8%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c)))
95.7%
#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) c) (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) (*.f64 b a))) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c))
90.0%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (*.f64 c #s(literal -3/8 binary64)) (/.f64 a (*.f64 (*.f64 b b) b)) (/.f64 #s(literal -1/2 binary64) b)) c))
94.0%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 #s(approx (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) (/.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (*.f64 b b))) #s(literal -9/16 binary64) (*.f64 a #s(literal -3/8 binary64))) (*.f64 (*.f64 b b) b))) c (/.f64 #s(literal -1/2 binary64) b)) c))
81.0%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
90.0%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)) b)) c))
80.7%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c))
Compiler

Compiled 4 027 to 2 226 computations (44.7% saved)

simplify137.0ms (1.2%)

Memory
30.9MiB live, 150.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff320
(*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
cost-diff576
(/.f64 #s(literal -1 binary64) (*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))))
cost-diff896
(-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))
cost-diff1088
(/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))) #s(literal 3 binary64)))
cost-diff0
(-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))
cost-diff0
(/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))
cost-diff0
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) (*.f64 #s(literal 3 binary64) a))
cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))
cost-diff0
(sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a)))
cost-diff0
(-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))) b)
cost-diff0
(/.f64 a (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))) b))
cost-diff384
(/.f64 #s(literal 1/3 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))) b)))
cost-diff0
(/.f64 #s(literal -1/2 binary64) b)
cost-diff0
#s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b))
cost-diff0
(*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c)
cost-diff0
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c))
cost-diff0
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 c c) #s(literal -9/16 binary64)) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
cost-diff320
(*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))))
cost-diff320
(fma.f64 (fma.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 c c) #s(literal -9/16 binary64)) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
cost-diff960
(fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 c c) #s(literal -9/16 binary64)) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b))))))
Rules
5 912×lower-fma.f32
5 902×lower-fma.f64
4 388×lower-*.f32
4 348×lower-*.f64
2 034×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
082883
0131871
1253777
2670664
32908627
44398627
57416627
08074617
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 c c) #s(literal -9/16 binary64)) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 c c) #s(literal -9/16 binary64)) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
(fma.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 c c) #s(literal -9/16 binary64)) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b)))
(fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 c c) #s(literal -9/16 binary64)) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b))))))
(/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b)))
c
(*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))
(*.f64 (*.f64 b b) b)
(*.f64 b b)
b
(*.f64 (*.f64 c c) #s(literal -9/16 binary64))
(*.f64 c c)
#s(literal -9/16 binary64)
(*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))))
(*.f64 a #s(literal -1/6 binary64))
a
#s(literal -1/6 binary64)
(*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b))))
(*.f64 (*.f64 (*.f64 c c) c) c)
(*.f64 (*.f64 c c) c)
(/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))
#s(literal 405/64 binary64)
(*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b))
(*.f64 (*.f64 (*.f64 b b) b) b)
(/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))
(*.f64 (*.f64 c c) #s(literal -3/8 binary64))
#s(literal -3/8 binary64)
(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
(/.f64 c b)
#s(literal -1/2 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c))
(*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c)
#s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b))
(/.f64 #s(literal -1/2 binary64) b)
#s(literal -1/2 binary64)
b
c
(/.f64 #s(literal 1/3 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))) b)))
#s(literal 1/3 binary64)
(/.f64 a (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))) b))
a
(-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))) b)
(sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a)))
(fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))
b
(*.f64 (*.f64 #s(literal -3 binary64) c) a)
(*.f64 #s(literal -3 binary64) c)
#s(literal -3 binary64)
c
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))
#s(literal 1 binary64)
(/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))
#s(literal -1 binary64)
(-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))
b
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))
(*.f64 #s(literal -3 binary64) c)
#s(literal -3 binary64)
c
a
(*.f64 b b)
(*.f64 #s(literal 3 binary64) a)
#s(literal 3 binary64)
(/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) a)
#s(literal 1 binary64)
a
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))) #s(literal 3 binary64))
(/.f64 #s(literal -1 binary64) (*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))))
#s(literal -1 binary64)
(*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
(-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))
(*.f64 b b)
b
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))
(*.f64 #s(literal -3 binary64) c)
#s(literal -3 binary64)
c
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))
(+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))
#s(literal 3 binary64)
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 c c) #s(literal -9/16 binary64)) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (*.f64 a a) (*.f64 (*.f64 (*.f64 c c) c) (fma.f64 c (*.f64 (/.f64 #s(literal -135/128 binary64) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (*.f64 b b) b))) a) (/.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b)))) (*.f64 (/.f64 c b) (fma.f64 (*.f64 #s(literal -3/8 binary64) (/.f64 c (*.f64 b b))) a #s(literal -1/2 binary64)))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 c c) #s(literal -9/16 binary64)) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
(fma.f64 (*.f64 a a) (*.f64 (*.f64 (*.f64 c c) c) (fma.f64 c (*.f64 (/.f64 #s(literal -135/128 binary64) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (*.f64 b b) b))) a) (/.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b)))) (*.f64 (/.f64 c b) (fma.f64 (*.f64 #s(literal -3/8 binary64) (/.f64 c (*.f64 b b))) a #s(literal -1/2 binary64))))
(fma.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 c c) #s(literal -9/16 binary64)) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b)))
(fma.f64 (*.f64 (*.f64 (*.f64 c c) c) (fma.f64 c (*.f64 (/.f64 #s(literal -135/128 binary64) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (*.f64 b b) b))) a) (/.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b)))) a (*.f64 (*.f64 c (/.f64 c (*.f64 (*.f64 b b) b))) #s(literal -3/8 binary64)))
(fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 c c) #s(literal -9/16 binary64)) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b))))))
(*.f64 (*.f64 (*.f64 c c) c) (fma.f64 c (*.f64 (/.f64 #s(literal -135/128 binary64) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (*.f64 b b) b))) a) (/.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b))))
(/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b)))
(/.f64 c (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b))
c
(*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))
(*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b)
(*.f64 (*.f64 b b) b)
(*.f64 b b)
b
(*.f64 (*.f64 c c) #s(literal -9/16 binary64))
(*.f64 #s(literal -9/16 binary64) (*.f64 c c))
(*.f64 c c)
#s(literal -9/16 binary64)
(*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))))
(/.f64 (*.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 (*.f64 (*.f64 c c) c) c)) a) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (*.f64 b b) b)))
(*.f64 a #s(literal -1/6 binary64))
(*.f64 #s(literal -1/6 binary64) a)
a
#s(literal -1/6 binary64)
(*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b))))
(*.f64 (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (*.f64 b b) b))) (*.f64 (*.f64 (*.f64 c c) c) c))
(*.f64 (*.f64 (*.f64 c c) c) c)
(*.f64 (*.f64 c c) c)
(/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))
(/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (*.f64 b b) b)))
#s(literal 405/64 binary64)
(*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b))
(*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (*.f64 b b) b))
(*.f64 (*.f64 (*.f64 b b) b) b)
(/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))
(*.f64 (*.f64 c (/.f64 c (*.f64 (*.f64 b b) b))) #s(literal -3/8 binary64))
(*.f64 (*.f64 c c) #s(literal -3/8 binary64))
(*.f64 #s(literal -3/8 binary64) (*.f64 c c))
#s(literal -3/8 binary64)
(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (/.f64 c b))
(/.f64 c b)
#s(literal -1/2 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c))
(*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c)
#s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b))
(/.f64 #s(literal -1/2 binary64) b)
#s(literal -1/2 binary64)
b
c
(/.f64 #s(literal 1/3 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))) b)))
(*.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 a (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))) b))
(/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))
a
(-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))) b)
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)
(sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a)))
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))
(fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))
b
(*.f64 (*.f64 #s(literal -3 binary64) c) a)
(*.f64 #s(literal -3 binary64) c)
#s(literal -3 binary64)
c
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) (*.f64 #s(literal 3 binary64) a))
(*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)
#s(literal 1 binary64)
(/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))
#s(literal -1 binary64)
(-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))
b
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))
(*.f64 #s(literal -3 binary64) c)
#s(literal -3 binary64)
c
a
(*.f64 b b)
(*.f64 #s(literal 3 binary64) a)
(*.f64 a #s(literal 3 binary64))
#s(literal 3 binary64)
(/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))) #s(literal 3 binary64)))
(/.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 c a) #s(literal 3 binary64))) (*.f64 a (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
(/.f64 #s(literal 1 binary64) a)
#s(literal 1 binary64)
a
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))) #s(literal 3 binary64))
(*.f64 (/.f64 #s(literal -3 binary64) (*.f64 (*.f64 c a) #s(literal 3 binary64))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))
(/.f64 #s(literal -1 binary64) (*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (*.f64 (*.f64 c a) #s(literal 3 binary64)))
#s(literal -1 binary64)
(*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
(/.f64 (*.f64 (*.f64 c a) #s(literal 3 binary64)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))
(-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))
(*.f64 (*.f64 c a) #s(literal 3 binary64))
(*.f64 b b)
b
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))
(*.f64 #s(literal -3 binary64) c)
#s(literal -3 binary64)
c
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))
(+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))
#s(literal 3 binary64)

localize358.0ms (3.1%)

Memory
12.1MiB live, 554.5MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.3046875
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))) #s(literal 3 binary64))
accuracy0.36328125
(*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
accuracy0.375
(/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))) #s(literal 3 binary64)))
accuracy43.50827480353273
(-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))
accuracy0.28125
(/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))
accuracy0.31869125976844204
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) (*.f64 #s(literal 3 binary64) a))
accuracy0.3203125
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))
accuracy43.82997376661937
(-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))
accuracy0.24609375
(*.f64 (*.f64 #s(literal -3 binary64) c) a)
accuracy0.2578125
(/.f64 a (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))) b))
accuracy0.43359375
(/.f64 #s(literal 1/3 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))) b)))
accuracy43.82997376661937
(-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))) b)
accuracy0
(/.f64 #s(literal -1/2 binary64) b)
accuracy0.34765625
(*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c)
accuracy3.5314510743978693
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c))
accuracy12.157658370995678
#s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b))
accuracy0.375
(*.f64 a #s(literal -1/6 binary64))
accuracy0.40462875976844204
(fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 c c) #s(literal -9/16 binary64)) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b))))))
accuracy0.4091987793053261
(*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b))))
accuracy2.4407015092548834
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 c c) #s(literal -9/16 binary64)) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
Samples
220.0ms163×1valid
72.0ms93×0valid
Compiler

Compiled 808 to 80 computations (90.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 231.0ms
ival-mult: 83.0ms (35.9% of total)
ival-div: 78.0ms (33.7% of total)
adjust: 18.0ms (7.8% of total)
ival-add: 17.0ms (7.3% of total)
ival-sub: 12.0ms (5.2% of total)
ival-sqrt: 9.0ms (3.9% of total)
const: 8.0ms (3.5% of total)
ival-pow: 3.0ms (1.3% of total)
exact: 1.0ms (0.4% of total)
ival-neg: 1.0ms (0.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series322.0ms (2.8%)

Memory
-35.7MiB live, 213.6MiB allocated
Counts
24 → 792
Calls
Call 1
Inputs
#s(alt (fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 c c) #s(literal -9/16 binary64)) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))))) (patch (fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 c c) #s(literal -9/16 binary64)) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))))) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 c c) #s(literal -9/16 binary64)) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) (patch (fma.f64 (fma.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 c c) #s(literal -9/16 binary64)) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b))))) (patch (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b))))) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 c c) #s(literal -9/16 binary64)) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 c c) #s(literal -9/16 binary64)) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c)) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c) (patch (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) (patch #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1/2 binary64) b) (patch (/.f64 #s(literal -1/2 binary64) b) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/3 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))) b))) (patch (/.f64 #s(literal 1/3 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))) b))) #<representation binary64>) () ())
#s(alt (/.f64 a (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))) b)) (patch (/.f64 a (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))) b)) #<representation binary64>) () ())
#s(alt (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))) b) (patch (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))) b) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))) (patch (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) (patch (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) #<representation binary64>) () ())
#s(alt (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (patch (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))) #s(literal 3 binary64))) (patch (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))) #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (patch (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))) (patch (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) (patch (*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))) (patch (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))) #<representation binary64>) () ())
#s(alt (*.f64 a #s(literal -1/6 binary64)) (patch (*.f64 a #s(literal -1/6 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 #s(literal -3 binary64) c) a) (patch (*.f64 (*.f64 #s(literal -3 binary64) c) a) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))) #s(literal 3 binary64)) (patch (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))) #s(literal 3 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (* -9/16 (/ (pow c 3) (pow b 5))) (taylor 0 c) (#s(alt (fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 c c) #s(literal -9/16 binary64)) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))))) (patch (fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 c c) #s(literal -9/16 binary64)) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 3) (- (* -135/128 (/ (* a c) (pow b 7))) (* 9/16 (/ 1 (pow b 5))))) (taylor 0 c) (#s(alt (fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 c c) #s(literal -9/16 binary64)) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))))) (patch (fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 c c) #s(literal -9/16 binary64)) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 3) (- (* -135/128 (/ (* a c) (pow b 7))) (* 9/16 (/ 1 (pow b 5))))) (taylor 0 c) (#s(alt (fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 c c) #s(literal -9/16 binary64)) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))))) (patch (fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 c c) #s(literal -9/16 binary64)) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 3) (- (* -135/128 (/ (* a c) (pow b 7))) (* 9/16 (/ 1 (pow b 5))))) (taylor 0 c) (#s(alt (fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 c c) #s(literal -9/16 binary64)) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))))) (patch (fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 c c) #s(literal -9/16 binary64)) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ c b)) (taylor 0 c) (#s(alt (fma.f64 (fma.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 c c) #s(literal -9/16 binary64)) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) (patch (fma.f64 (fma.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 c c) #s(literal -9/16 binary64)) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt (fma.f64 (fma.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 c c) #s(literal -9/16 binary64)) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) (patch (fma.f64 (fma.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 c c) #s(literal -9/16 binary64)) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt (fma.f64 (fma.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 c c) #s(literal -9/16 binary64)) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) (patch (fma.f64 (fma.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 c c) #s(literal -9/16 binary64)) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -135/128 (/ (* (pow a 3) c) (pow b 7))) (* -9/16 (/ (pow a 2) (pow b 5))))))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt (fma.f64 (fma.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 c c) #s(literal -9/16 binary64)) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) (patch (fma.f64 (fma.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 c c) #s(literal -9/16 binary64)) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (taylor 0 c) (#s(alt (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b))))) (patch (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b))))) #<representation binary64>) () ())) ())
#s(alt (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (taylor 0 c) (#s(alt (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b))))) (patch (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b))))) #<representation binary64>) () ())) ())
#s(alt (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (taylor 0 c) (#s(alt (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b))))) (patch (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b))))) #<representation binary64>) () ())) ())
#s(alt (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (taylor 0 c) (#s(alt (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b))))) (patch (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b))))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ c b)) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 c c) #s(literal -9/16 binary64)) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 c c) #s(literal -9/16 binary64)) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 c c) #s(literal -9/16 binary64)) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 c c) #s(literal -9/16 binary64)) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 c c) #s(literal -9/16 binary64)) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 c c) #s(literal -9/16 binary64)) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 c c) #s(literal -9/16 binary64)) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 c c) #s(literal -9/16 binary64)) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 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 (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c)) #<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 (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c)) #<representation binary64>) () ())) ())
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Calls

9 calls:

TimeVariablePointExpression
28.0ms
b
@0
((+ (* (/ c (* (* (* b b) b) (* b b))) (* (* c c) -9/16)) (* (* a -1/6) (* (* (* (* c c) c) c) (/ 405/64 (* (* (* b b) b) (* (* (* b b) b) b)))))) (+ (* (+ (* (+ (* (/ c (* (* (* b b) b) (* b b))) (* (* c c) -9/16)) (* (* a -1/6) (* (* (* (* c c) c) c) (/ 405/64 (* (* (* b b) b) (* (* (* b b) b) b)))))) a) (/ (* (* c c) -3/8) (* (* b b) b))) a) (* (/ c b) -1/2)) (* (* a -1/6) (* (* (* (* c c) c) c) (/ 405/64 (* (* (* b b) b) (* (* (* b b) b) b))))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) c) (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/ -1/2 b) (/ 1/3 (/ a (- (sqrt (+ (* b b) (* (* -3 c) a))) b))) (/ a (- (sqrt (+ (* b b) (* (* -3 c) a))) b)) (- (sqrt (+ (* b b) (* (* -3 c) a))) b) (sqrt (+ (* b b) (* (* -3 c) a))) (/ 1 (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (/ (/ 1 (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (* 3 a)) (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (- b (sqrt (+ (* (* -3 c) a) (* b b)))) (/ (/ 1 a) (* (/ -1 (* (- (* b b) (+ (* (* -3 c) a) (* b b))) (/ 1 (+ (sqrt (+ (* (* -3 c) a) (* b b))) b)))) 3)) (- (* b b) (+ (* (* -3 c) a) (* b b))) (/ -1 (* (- (* b b) (+ (* (* -3 c) a) (* b b))) (/ 1 (+ (sqrt (+ (* (* -3 c) a) (* b b))) b)))) (* (- (* b b) (+ (* (* -3 c) a) (* b b))) (/ 1 (+ (sqrt (+ (* (* -3 c) a) (* b b))) b))) (* (* (* (* c c) c) c) (/ 405/64 (* (* (* b b) b) (* (* (* b b) b) b)))) (* a -1/6) (* (* -3 c) a) (* (/ -1 (* (- (* b b) (+ (* (* -3 c) a) (* b b))) (/ 1 (+ (sqrt (+ (* (* -3 c) a) (* b b))) b)))) 3))
27.0ms
c
@inf
((+ (* (/ c (* (* (* b b) b) (* b b))) (* (* c c) -9/16)) (* (* a -1/6) (* (* (* (* c c) c) c) (/ 405/64 (* (* (* b b) b) (* (* (* b b) b) b)))))) (+ (* (+ (* (+ (* (/ c (* (* (* b b) b) (* b b))) (* (* c c) -9/16)) (* (* a -1/6) (* (* (* (* c c) c) c) (/ 405/64 (* (* (* b b) b) (* (* (* b b) b) b)))))) a) (/ (* (* c c) -3/8) (* (* b b) b))) a) (* (/ c b) -1/2)) (* (* a -1/6) (* (* (* (* c c) c) c) (/ 405/64 (* (* (* b b) b) (* (* (* b b) b) b))))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) c) (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/ -1/2 b) (/ 1/3 (/ a (- (sqrt (+ (* b b) (* (* -3 c) a))) b))) (/ a (- (sqrt (+ (* b b) (* (* -3 c) a))) b)) (- (sqrt (+ (* b b) (* (* -3 c) a))) b) (sqrt (+ (* b b) (* (* -3 c) a))) (/ 1 (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (/ (/ 1 (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (* 3 a)) (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (- b (sqrt (+ (* (* -3 c) a) (* b b)))) (/ (/ 1 a) (* (/ -1 (* (- (* b b) (+ (* (* -3 c) a) (* b b))) (/ 1 (+ (sqrt (+ (* (* -3 c) a) (* b b))) b)))) 3)) (- (* b b) (+ (* (* -3 c) a) (* b b))) (/ -1 (* (- (* b b) (+ (* (* -3 c) a) (* b b))) (/ 1 (+ (sqrt (+ (* (* -3 c) a) (* b b))) b)))) (* (- (* b b) (+ (* (* -3 c) a) (* b b))) (/ 1 (+ (sqrt (+ (* (* -3 c) a) (* b b))) b))) (* (* (* (* c c) c) c) (/ 405/64 (* (* (* b b) b) (* (* (* b b) b) b)))) (* a -1/6) (* (* -3 c) a) (* (/ -1 (* (- (* b b) (+ (* (* -3 c) a) (* b b))) (/ 1 (+ (sqrt (+ (* (* -3 c) a) (* b b))) b)))) 3))
25.0ms
a
@inf
((+ (* (/ c (* (* (* b b) b) (* b b))) (* (* c c) -9/16)) (* (* a -1/6) (* (* (* (* c c) c) c) (/ 405/64 (* (* (* b b) b) (* (* (* b b) b) b)))))) (+ (* (+ (* (+ (* (/ c (* (* (* b b) b) (* b b))) (* (* c c) -9/16)) (* (* a -1/6) (* (* (* (* c c) c) c) (/ 405/64 (* (* (* b b) b) (* (* (* b b) b) b)))))) a) (/ (* (* c c) -3/8) (* (* b b) b))) a) (* (/ c b) -1/2)) (* (* a -1/6) (* (* (* (* c c) c) c) (/ 405/64 (* (* (* b b) b) (* (* (* b b) b) b))))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) c) (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/ -1/2 b) (/ 1/3 (/ a (- (sqrt (+ (* b b) (* (* -3 c) a))) b))) (/ a (- (sqrt (+ (* b b) (* (* -3 c) a))) b)) (- (sqrt (+ (* b b) (* (* -3 c) a))) b) (sqrt (+ (* b b) (* (* -3 c) a))) (/ 1 (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (/ (/ 1 (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (* 3 a)) (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (- b (sqrt (+ (* (* -3 c) a) (* b b)))) (/ (/ 1 a) (* (/ -1 (* (- (* b b) (+ (* (* -3 c) a) (* b b))) (/ 1 (+ (sqrt (+ (* (* -3 c) a) (* b b))) b)))) 3)) (- (* b b) (+ (* (* -3 c) a) (* b b))) (/ -1 (* (- (* b b) (+ (* (* -3 c) a) (* b b))) (/ 1 (+ (sqrt (+ (* (* -3 c) a) (* b b))) b)))) (* (- (* b b) (+ (* (* -3 c) a) (* b b))) (/ 1 (+ (sqrt (+ (* (* -3 c) a) (* b b))) b))) (* (* (* (* c c) c) c) (/ 405/64 (* (* (* b b) b) (* (* (* b b) b) b)))) (* a -1/6) (* (* -3 c) a) (* (/ -1 (* (- (* b b) (+ (* (* -3 c) a) (* b b))) (/ 1 (+ (sqrt (+ (* (* -3 c) a) (* b b))) b)))) 3))
11.0ms
c
@-inf
((+ (* (/ c (* (* (* b b) b) (* b b))) (* (* c c) -9/16)) (* (* a -1/6) (* (* (* (* c c) c) c) (/ 405/64 (* (* (* b b) b) (* (* (* b b) b) b)))))) (+ (* (+ (* (+ (* (/ c (* (* (* b b) b) (* b b))) (* (* c c) -9/16)) (* (* a -1/6) (* (* (* (* c c) c) c) (/ 405/64 (* (* (* b b) b) (* (* (* b b) b) b)))))) a) (/ (* (* c c) -3/8) (* (* b b) b))) a) (* (/ c b) -1/2)) (* (* a -1/6) (* (* (* (* c c) c) c) (/ 405/64 (* (* (* b b) b) (* (* (* b b) b) b))))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) c) (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/ -1/2 b) (/ 1/3 (/ a (- (sqrt (+ (* b b) (* (* -3 c) a))) b))) (/ a (- (sqrt (+ (* b b) (* (* -3 c) a))) b)) (- (sqrt (+ (* b b) (* (* -3 c) a))) b) (sqrt (+ (* b b) (* (* -3 c) a))) (/ 1 (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (/ (/ 1 (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (* 3 a)) (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (- b (sqrt (+ (* (* -3 c) a) (* b b)))) (/ (/ 1 a) (* (/ -1 (* (- (* b b) (+ (* (* -3 c) a) (* b b))) (/ 1 (+ (sqrt (+ (* (* -3 c) a) (* b b))) b)))) 3)) (- (* b b) (+ (* (* -3 c) a) (* b b))) (/ -1 (* (- (* b b) (+ (* (* -3 c) a) (* b b))) (/ 1 (+ (sqrt (+ (* (* -3 c) a) (* b b))) b)))) (* (- (* b b) (+ (* (* -3 c) a) (* b b))) (/ 1 (+ (sqrt (+ (* (* -3 c) a) (* b b))) b))) (* (* (* (* c c) c) c) (/ 405/64 (* (* (* b b) b) (* (* (* b b) b) b)))) (* a -1/6) (* (* -3 c) a) (* (/ -1 (* (- (* b b) (+ (* (* -3 c) a) (* b b))) (/ 1 (+ (sqrt (+ (* (* -3 c) a) (* b b))) b)))) 3))
7.0ms
a
@-inf
((+ (* (/ c (* (* (* b b) b) (* b b))) (* (* c c) -9/16)) (* (* a -1/6) (* (* (* (* c c) c) c) (/ 405/64 (* (* (* b b) b) (* (* (* b b) b) b)))))) (+ (* (+ (* (+ (* (/ c (* (* (* b b) b) (* b b))) (* (* c c) -9/16)) (* (* a -1/6) (* (* (* (* c c) c) c) (/ 405/64 (* (* (* b b) b) (* (* (* b b) b) b)))))) a) (/ (* (* c c) -3/8) (* (* b b) b))) a) (* (/ c b) -1/2)) (* (* a -1/6) (* (* (* (* c c) c) c) (/ 405/64 (* (* (* b b) b) (* (* (* b b) b) b))))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) c) (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/ -1/2 b) (/ 1/3 (/ a (- (sqrt (+ (* b b) (* (* -3 c) a))) b))) (/ a (- (sqrt (+ (* b b) (* (* -3 c) a))) b)) (- (sqrt (+ (* b b) (* (* -3 c) a))) b) (sqrt (+ (* b b) (* (* -3 c) a))) (/ 1 (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (/ (/ 1 (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (* 3 a)) (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (- b (sqrt (+ (* (* -3 c) a) (* b b)))) (/ (/ 1 a) (* (/ -1 (* (- (* b b) (+ (* (* -3 c) a) (* b b))) (/ 1 (+ (sqrt (+ (* (* -3 c) a) (* b b))) b)))) 3)) (- (* b b) (+ (* (* -3 c) a) (* b b))) (/ -1 (* (- (* b b) (+ (* (* -3 c) a) (* b b))) (/ 1 (+ (sqrt (+ (* (* -3 c) a) (* b b))) b)))) (* (- (* b b) (+ (* (* -3 c) a) (* b b))) (/ 1 (+ (sqrt (+ (* (* -3 c) a) (* b b))) b))) (* (* (* (* c c) c) c) (/ 405/64 (* (* (* b b) b) (* (* (* b b) b) b)))) (* a -1/6) (* (* -3 c) a) (* (/ -1 (* (- (* b b) (+ (* (* -3 c) a) (* b b))) (/ 1 (+ (sqrt (+ (* (* -3 c) a) (* b b))) b)))) 3))

simplify237.0ms (2%)

Memory
1.6MiB live, 427.2MiB allocated
Algorithm
egg-herbie
Rules
7 370×lower-*.f64
7 370×lower-*.f32
6 528×lower-fma.f64
6 528×lower-fma.f32
3 584×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0199819617
1663419245
0811718573
Stop Event
iter limit
node limit
Counts
792 → 789
Calls
Call 1
Inputs
(* -9/16 (/ (pow c 3) (pow b 5)))
(* (pow c 3) (- (* -135/128 (/ (* a c) (pow b 7))) (* 9/16 (/ 1 (pow b 5)))))
(* (pow c 3) (- (* -135/128 (/ (* a c) (pow b 7))) (* 9/16 (/ 1 (pow b 5)))))
(* (pow c 3) (- (* -135/128 (/ (* a c) (pow b 7))) (* 9/16 (/ 1 (pow b 5)))))
(* -1/2 (/ c b))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -135/128 (/ (* (pow a 3) c) (pow b 7))) (* -9/16 (/ (pow a 2) (pow b 5))))))) (* 1/2 (/ 1 b))))
(* -135/128 (/ (* a (pow c 4)) (pow b 7)))
(* -135/128 (/ (* a (pow c 4)) (pow b 7)))
(* -135/128 (/ (* a (pow c 4)) (pow b 7)))
(* -135/128 (/ (* a (pow c 4)) (pow b 7)))
(* -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))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(/ -1/2 b)
(- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))
(- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))
(- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))
(* -1/2 (/ c b))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))
(* -2/3 (/ b c))
(/ (+ (* -2/3 b) (* 1/2 (/ (* a c) b))) c)
(/ (+ (* -2/3 b) (* c (- (* -1 (* c (+ (* -3/4 (/ (pow a 2) (pow b 3))) (* 3/8 (/ (pow a 2) (pow b 3)))))) (* -1/2 (/ a b))))) c)
(/ (+ (* -2/3 b) (* c (- (* c (- (* -1 (* c (+ (* -3/4 (/ (* a (+ (* -3/4 (/ (pow a 2) (pow b 3))) (* 3/8 (/ (pow a 2) (pow b 3))))) (pow b 2))) (+ (* -2/9 (/ (* b (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) a)) (* 9/16 (/ (pow a 3) (pow b 5))))))) (+ (* -3/4 (/ (pow a 2) (pow b 3))) (* 3/8 (/ (pow a 2) (pow b 3)))))) (* -1/2 (/ a b))))) c)
(* -3/2 (/ (* a c) b))
(* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b))))))))
b
(+ b (* -3/2 (/ (* a c) b)))
(+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))))
(* -3/2 (/ (* a c) b))
(* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b))))))))
(* -1/2 (/ c b))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))
(* -2/3 (/ b (* a c)))
(/ (+ (* -2/3 (/ b a)) (* 1/2 (/ c b))) c)
(/ (+ (* -2/3 (/ b a)) (* c (+ (* -1 (* c (+ (* -3/4 (/ a (pow b 3))) (* 3/8 (/ a (pow b 3)))))) (* 1/2 (/ 1 b))))) c)
(/ (+ (* -2/3 (/ b a)) (* c (+ (* c (- (* -1 (* c (+ (* -3/4 (/ (* a (+ (* -3/4 (/ a (pow b 3))) (* 3/8 (/ a (pow b 3))))) (pow b 2))) (+ (* -2/9 (/ (* b (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (pow a 2))) (* 9/16 (/ (pow a 2) (pow b 5))))))) (+ (* -3/4 (/ a (pow b 3))) (* 3/8 (/ a (pow b 3)))))) (* 1/2 (/ 1 b))))) c)
(* 3/2 (/ (* a c) b))
(* c (- (* 9/8 (/ (* (pow a 2) c) (pow b 3))) (* -3/2 (/ a b))))
(* c (- (* c (- (* 27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))) (* -3/2 (/ a b))))
(* c (- (* c (- (* c (- (* 1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)) (* -27/16 (/ (pow a 3) (pow b 5))))) (* -9/8 (/ (pow a 2) (pow b 3))))) (* -3/2 (/ a b))))
(* -1/2 (/ c b))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* c (+ (* -27/32 (/ (pow a 3) (pow b 7))) (* -27/128 (/ (pow a 3) (pow b 7))))))))) (* 1/2 (/ 1 b))))
(* 3 (* a c))
(* 3 (* a c))
(* 3 (* a c))
(* 3 (* a c))
(* -2/3 (/ b (* a c)))
(/ (+ (* -2/3 (/ b a)) (* 1/2 (/ c b))) c)
(/ (+ (* -2/3 (/ b a)) (* c (+ (* 3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))) c)
(/ (+ (* -2/3 (/ b a)) (* c (+ (* c (+ (* 3/8 (/ a (pow b 3))) (* 9/16 (/ (* (pow a 2) c) (pow b 5))))) (* 1/2 (/ 1 b))))) c)
(* 3/2 (/ (* a c) b))
(* c (+ (* 9/8 (/ (* (pow a 2) c) (pow b 3))) (* 3/2 (/ a b))))
(* c (+ (* 3/2 (/ a b)) (* c (+ (* 9/8 (/ (pow a 2) (pow b 3))) (* 27/16 (/ (* (pow a 3) c) (pow b 5)))))))
(* c (+ (* 3/2 (/ a b)) (* c (+ (* 9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -3 (* c (+ (* -27/32 (/ (pow a 4) (pow b 7))) (* -27/128 (/ (pow a 4) (pow b 7)))))) (* 27/16 (/ (pow a 3) (pow b 5)))))))))
(* 405/64 (/ (pow c 4) (pow b 7)))
(* 405/64 (/ (pow c 4) (pow b 7)))
(* 405/64 (/ (pow c 4) (pow b 7)))
(* 405/64 (/ (pow c 4) (pow b 7)))
(* -3 (* a c))
(* -3 (* a c))
(* -3 (* a c))
(* -3 (* a c))
(* -2 (/ b (* a c)))
(/ (+ (* -2 (/ b a)) (* 3/2 (/ c b))) c)
(/ (+ (* -2 (/ b a)) (* c (+ (* 9/8 (/ (* a c) (pow b 3))) (* 3/2 (/ 1 b))))) c)
(/ (+ (* -2 (/ b a)) (* c (+ (* c (+ (* 9/8 (/ a (pow b 3))) (* 27/16 (/ (* (pow a 2) c) (pow b 5))))) (* 3/2 (/ 1 b))))) c)
(* -135/128 (/ (* a (pow c 4)) (pow b 7)))
(* (pow c 4) (- (* -135/128 (/ a (pow b 7))) (* 9/16 (/ 1 (* (pow b 5) c)))))
(* (pow c 4) (- (* -135/128 (/ a (pow b 7))) (* 9/16 (/ 1 (* (pow b 5) c)))))
(* (pow c 4) (- (* -135/128 (/ a (pow b 7))) (* 9/16 (/ 1 (* (pow b 5) c)))))
(* -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 (/ (* a (pow c 4)) (pow b 7)))
(* -135/128 (/ (* a (pow c 4)) (pow b 7)))
(* -135/128 (/ (* a (pow c 4)) (pow b 7)))
(* -135/128 (/ (* a (pow c 4)) (pow b 7)))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 5)))
(* (pow c 3) (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c)))))
(* (pow c 3) (- (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c)))) (/ 1/2 (* b (pow c 2)))))
(* (pow c 3) (- (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c)))) (/ 1/2 (* b (pow c 2)))))
(* -9/16 (/ (* (pow a 2) (pow c 2)) (pow b 5)))
(* (pow c 2) (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c)))))
(* (pow c 2) (- (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c)))) (/ 1/2 (* b (pow c 2)))))
(* (pow c 2) (- (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c)))) (/ 1/2 (* b (pow c 2)))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))
(* (sqrt (/ a c)) (/ 1 (sqrt -3)))
(/ (+ (* (sqrt (* a c)) (/ 1 (sqrt -3))) (/ b (pow (sqrt -3) 2))) c)
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3))))) (pow c 2))) (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (* -1 (/ b (pow (sqrt -3) 2)))) c)
(/ (- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow b 3) (pow c 2)) (* a (pow (sqrt -3) 4)))) (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3)))) (pow c 3))) (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* -1 (/ b (pow (sqrt -3) 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3))))))) c)
(* (sqrt (* a c)) (sqrt -3))
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c)))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c)))
(* (sqrt (* a c)) (sqrt -3))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))))
(* (sqrt (* a c)) (sqrt -3))
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3))))
(* c (+ (* -1 (/ b c)) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))
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(* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))
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(* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))
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(* 3 (* a c))
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(/ -1/2 b)
(/ -1/2 b)
(/ -1/2 b)
(/ -1/2 b)
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(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -2/3 (/ b c))
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(* -3/2 (/ (* a c) b))
(/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
b
(* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))
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(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
(* -1/2 (/ c b))
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -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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(* 3/2 (/ (* a c) b))
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(/ (- (* 27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (- (* 1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b)
(* -1/2 (/ c b))
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -27/32 (/ (* (pow a 3) (pow c 4)) (pow b 6))) (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -27/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))))))) b)
(* 3 (* a c))
(* 3 (* a c))
(* 3 (* a c))
(* 3 (* a c))
(* -2/3 (/ b (* a c)))
(* b (- (* 1/2 (/ 1 (pow b 2))) (* 2/3 (/ 1 (* a c)))))
(* b (- (+ (* 3/8 (/ (* a c) (pow b 4))) (* 1/2 (/ 1 (pow b 2)))) (* 2/3 (/ 1 (* a c)))))
(* b (- (+ (* 3/8 (/ (* a c) (pow b 4))) (+ (* 9/16 (/ (* (pow a 2) (pow c 2)) (pow b 6))) (* 1/2 (/ 1 (pow b 2))))) (* 2/3 (/ 1 (* a c)))))
(* 3/2 (/ (* a c) b))
(/ (+ (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 3/2 (* a c))) b)
(/ (+ (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (+ (* 3/2 (* a c)) (* 27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))))) b)
(/ (+ (* -3 (/ (+ (* -27/32 (* (pow a 4) (pow c 4))) (* -27/128 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (+ (* 3/2 (* a c)) (* 27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4)))))) b)
(* 405/64 (/ (pow c 4) (pow b 7)))
(* 405/64 (/ (pow c 4) (pow b 7)))
(* 405/64 (/ (pow c 4) (pow b 7)))
(* 405/64 (/ (pow c 4) (pow b 7)))
(* -2 (/ b (* a c)))
(* b (- (* 3/2 (/ 1 (pow b 2))) (* 2 (/ 1 (* a c)))))
(* b (- (+ (* 9/8 (/ (* a c) (pow b 4))) (* 3/2 (/ 1 (pow b 2)))) (* 2 (/ 1 (* a c)))))
(* b (- (+ (* 9/8 (/ (* a c) (pow b 4))) (+ (* 27/16 (/ (* (pow a 2) (pow c 2)) (pow b 6))) (* 3/2 (/ 1 (pow b 2))))) (* 2 (/ 1 (* a c)))))
(* -9/16 (/ (pow c 3) (pow b 5)))
(* -1 (/ (+ (* 9/16 (pow c 3)) (* 135/128 (/ (* a (pow c 4)) (pow b 2)))) (pow b 5)))
(* -1 (/ (+ (* 9/16 (pow c 3)) (* 135/128 (/ (* a (pow c 4)) (pow b 2)))) (pow b 5)))
(* -1 (/ (+ (* 9/16 (pow c 3)) (* 135/128 (/ (* a (pow c 4)) (pow b 2)))) (pow b 5)))
(* -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))
(* -135/128 (/ (* a (pow c 4)) (pow b 7)))
(* -135/128 (/ (* a (pow c 4)) (pow b 7)))
(* -135/128 (/ (* a (pow c 4)) (pow b 7)))
(* -135/128 (/ (* a (pow c 4)) (pow b 7)))
(* -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 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 c)) b))
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (+ (* 1/2 c) (* 9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))))) b))
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (+ (* 1/2 c) (* 9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))))) b))
(/ -1/2 b)
(* -1 (/ (+ 1/2 (* 3/8 (/ (* a c) (pow b 2)))) b))
(* -1 (/ (+ 1/2 (+ (* 3/8 (/ (* a c) (pow b 2))) (* 9/16 (/ (* (pow a 2) (pow c 2)) (pow b 4))))) b))
(* -1 (/ (+ 1/2 (+ (* 3/8 (/ (* a c) (pow b 2))) (* 9/16 (/ (* (pow a 2) (pow c 2)) (pow b 4))))) b))
(/ -1/2 b)
(/ -1/2 b)
(/ -1/2 b)
(/ -1/2 b)
(* -2/3 (/ b a))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))
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(* -1/2 (/ a b))
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(* -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))
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(* -2 b)
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(* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
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(* -1 b)
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(/ -1/2 b)
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(* 2 b)
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(* -2/3 (/ b a))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))
(* -1 (* b (+ (* -3/4 (/ (* a (pow c 2)) (pow b 4))) (+ (* -1/2 (/ c (pow b 2))) (+ (* 3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))))
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(* 3 (* a c))
(* 3 (* a c))
(* 3 (* a c))
(* 3 (* a c))
(/ -1/2 b)
(* -1 (/ (+ 1/2 (* 3/8 (/ (* a c) (pow b 2)))) b))
(* -1 (/ (+ 1/2 (+ (* 3/8 (/ (* a c) (pow b 2))) (* 9/16 (/ (* (pow a 2) (pow c 2)) (pow b 4))))) b))
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(* 2 b)
(* -1 (* b (- (* 3/2 (/ (* a c) (pow b 2))) 2)))
(* -1 (* b (- (+ (* -3 (/ (+ (* -3/4 (* (pow a 2) (pow c 2))) (* 3/8 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 3/2 (/ (* a c) (pow b 2)))) 2)))
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(* 405/64 (/ (pow c 4) (pow b 7)))
(* 405/64 (/ (pow c 4) (pow b 7)))
(* 405/64 (/ (pow c 4) (pow b 7)))
(* 405/64 (/ (pow c 4) (pow b 7)))
(/ -3/2 b)
(* -1 (/ (+ 3/2 (* 9/8 (/ (* a c) (pow b 2)))) b))
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(* -9/16 (/ (pow c 3) (pow b 5)))
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(* -135/128 (/ (* a (pow c 4)) (pow b 7)))
(* -135/128 (/ (* a (pow c 4)) (pow b 7)))
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(* -135/128 (/ (* a (pow c 4)) (pow b 7)))
(* -1/2 (/ c b))
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(* -1/2 (/ c b))
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(* -1/2 (/ c b))
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(/ -1/2 b)
(- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))
(- (* a (+ (* -9/16 (/ (* a (pow c 2)) (pow b 5))) (* -3/8 (/ c (pow b 3))))) (* 1/2 (/ 1 b)))
(- (* a (+ (* -9/16 (/ (* a (pow c 2)) (pow b 5))) (* -3/8 (/ c (pow b 3))))) (* 1/2 (/ 1 b)))
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(+ (* -2/3 (/ b c)) (* a (+ (* -1 (* a (+ (* -3/4 (/ c (pow b 3))) (* 3/8 (/ c (pow b 3)))))) (* 1/2 (/ 1 b)))))
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(* -3/2 (/ (* a c) b))
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))))
b
(+ b (* -3/2 (/ (* a c) b)))
(+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))))
(* -3/2 (/ (* a c) b))
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))))
(* -1/2 (/ c b))
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(* -2/3 (/ b (* a c)))
(/ (+ (* -2/3 (/ b c)) (* 1/2 (/ a b))) a)
(/ (+ (* -2/3 (/ b c)) (* a (+ (* -1 (* a (+ (* -3/4 (/ c (pow b 3))) (* 3/8 (/ c (pow b 3)))))) (* 1/2 (/ 1 b))))) a)
(/ (+ (* -2/3 (/ b c)) (* a (+ (* a (- (* -1 (* a (+ (* -3/4 (/ (* c (+ (* -3/4 (/ c (pow b 3))) (* 3/8 (/ c (pow b 3))))) (pow b 2))) (+ (* -2/9 (/ (* b (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) (pow c 2))) (* 9/16 (/ (pow c 2) (pow b 5))))))) (+ (* -3/4 (/ c (pow b 3))) (* 3/8 (/ c (pow b 3)))))) (* 1/2 (/ 1 b))))) a)
(* 3/2 (/ (* a c) b))
(* a (- (* 9/8 (/ (* a (pow c 2)) (pow b 3))) (* -3/2 (/ c b))))
(* a (- (* a (- (* 27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))) (* -3/2 (/ c b))))
(* a (- (* a (- (* a (- (* 1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)) (* -27/16 (/ (pow c 3) (pow b 5))))) (* -9/8 (/ (pow c 2) (pow b 3))))) (* -3/2 (/ c b))))
(* -1/2 (/ c b))
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(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* a (+ (* -27/32 (/ (pow c 4) (pow b 7))) (* -27/128 (/ (pow c 4) (pow b 7))))))))))
(* 3 (* a c))
(* 3 (* a c))
(* 3 (* a c))
(* 3 (* a c))
(* -2/3 (/ b (* a c)))
(/ (+ (* -2/3 (/ b c)) (* 1/2 (/ a b))) a)
(/ (+ (* -2/3 (/ b c)) (* a (+ (* 3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))) a)
(/ (+ (* -2/3 (/ b c)) (* a (+ (* a (+ (* 3/8 (/ c (pow b 3))) (* 9/16 (/ (* a (pow c 2)) (pow b 5))))) (* 1/2 (/ 1 b))))) a)
(* 3/2 (/ (* a c) b))
(* a (+ (* 9/8 (/ (* a (pow c 2)) (pow b 3))) (* 3/2 (/ c b))))
(* a (+ (* 3/2 (/ c b)) (* a (+ (* 9/8 (/ (pow c 2) (pow b 3))) (* 27/16 (/ (* a (pow c 3)) (pow b 5)))))))
(* a (+ (* 3/2 (/ c b)) (* a (+ (* 9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -3 (* a (+ (* -27/32 (/ (pow c 4) (pow b 7))) (* -27/128 (/ (pow c 4) (pow b 7)))))) (* 27/16 (/ (pow c 3) (pow b 5)))))))))
(* -1/6 a)
(* -1/6 a)
(* -1/6 a)
(* -1/6 a)
(* -3 (* a c))
(* -3 (* a c))
(* -3 (* a c))
(* -3 (* a c))
(* -2 (/ b (* a c)))
(/ (+ (* -2 (/ b c)) (* 3/2 (/ a b))) a)
(/ (+ (* -2 (/ b c)) (* a (+ (* 9/8 (/ (* a c) (pow b 3))) (* 3/2 (/ 1 b))))) a)
(/ (+ (* -2 (/ b c)) (* a (+ (* a (+ (* 9/8 (/ c (pow b 3))) (* 27/16 (/ (* a (pow c 2)) (pow b 5))))) (* 3/2 (/ 1 b))))) a)
(* -135/128 (/ (* a (pow c 4)) (pow b 7)))
(* a (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5))))))
(* a (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5))))))
(* a (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5))))))
(* -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 (/ (* a (pow c 4)) (pow b 7)))
(* -135/128 (/ (* a (pow c 4)) (pow b 7)))
(* -135/128 (/ (* a (pow c 4)) (pow b 7)))
(* -135/128 (/ (* a (pow c 4)) (pow b 7)))
(* 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))))))
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 5)))
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -3/8 (/ (pow c 2) (* a (pow b 3))))))
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 5))) (+ (* -1/2 (/ c (* (pow a 2) b))) (* -3/8 (/ (pow c 2) (* a (pow b 3)))))))
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 5))) (+ (* -1/2 (/ c (* (pow a 2) b))) (* -3/8 (/ (pow c 2) (* a (pow b 3)))))))
(* -9/16 (/ (* (pow a 2) (pow c 2)) (pow b 5)))
(* (pow a 2) (+ (* -9/16 (/ (pow c 2) (pow b 5))) (* -3/8 (/ c (* a (pow b 3))))))
(* (pow a 2) (- (+ (* -9/16 (/ (pow c 2) (pow b 5))) (* -3/8 (/ c (* a (pow b 3))))) (/ 1/2 (* (pow a 2) b))))
(* (pow a 2) (- (+ (* -9/16 (/ (pow c 2) (pow b 5))) (* -3/8 (/ c (* a (pow b 3))))) (/ 1/2 (* (pow a 2) b))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))
(* (sqrt (/ a c)) (/ 1 (sqrt -3)))
(+ (* (sqrt (/ a c)) (/ 1 (sqrt -3))) (/ b (* c (pow (sqrt -3) 2))))
(- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3))))) (pow a 2))) (* (sqrt (/ a c)) (/ 1 (sqrt -3)))) (* -1 (/ b (* c (pow (sqrt -3) 2)))))
(- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow a 2) (pow b 3)) (* (pow c 2) (pow (sqrt -3) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3)))) (pow a 3))) (* (sqrt (/ a c)) (/ 1 (sqrt -3)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* -1 (/ b (* c (pow (sqrt -3) 2)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))))))
(* (sqrt (* a c)) (sqrt -3))
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a)))
(* (sqrt (* a c)) (sqrt -3))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))))
(* (sqrt (* a c)) (sqrt -3))
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3))))
(* a (+ (* -1 (/ b a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))
(* a (+ (* -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))))))
(* 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)
(* -1 (* (sqrt (* a c)) (sqrt -3)))
(* a (- (/ b a) (* (sqrt (/ c a)) (sqrt -3))))
(* a (- (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (/ b a)) (* (sqrt (/ c a)) (sqrt -3))))
(* a (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (/ b a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))
(* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3))))
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (/ b (pow (sqrt -3) 2))) a)
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (/ b (pow (sqrt -3) 2))))) a)
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3)))) (+ (* -1/2 (/ (pow b 3) (* a (* c (pow (sqrt -3) 4))))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (/ b (pow (sqrt -3) 2))))))) a)
(* 3 (* a c))
(* 3 (* a c))
(* 3 (* a c))
(* 3 (* a c))
(* -1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))
(+ (* -1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (* -1/3 (/ b (* a c))))
(+ (* -1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (+ (* -1/3 (/ b (* a c))) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3))))))
(+ (* -1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (+ (* -1/3 (/ b (* a c))) (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))))))
(* 3 (* (sqrt (* a c)) (/ 1 (sqrt -3))))
(+ (* -3 (/ b (pow (sqrt -3) 2))) (* 3 (* (sqrt (* a c)) (/ 1 (sqrt -3)))))
(+ (* -3 (/ b (pow (sqrt -3) 2))) (+ (* -3 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3))))) (pow a 2))) (* 3 (* (sqrt (* a c)) (/ 1 (sqrt -3))))))
(+ (* -3 (/ b (pow (sqrt -3) 2))) (+ (* -3 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3)))) (* -1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt -3) 4))))) (pow a 3))) (+ (* -3 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3))))) (pow a 2))) (* 3 (* (sqrt (* a c)) (/ 1 (sqrt -3)))))))
(* -1/6 a)
(* -1/6 a)
(* -1/6 a)
(* -1/6 a)
(* -3 (* a c))
(* -3 (* a c))
(* -3 (* a c))
(* -3 (* a c))
(* -1 (* (sqrt (/ 1 (* a c))) (sqrt -3)))
(+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (* -1 (/ b (* a c))))
(+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (+ (* -1 (/ b (* a c))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3))))))
(+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (+ (* -1 (/ b (* a c))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))))))
(* -135/128 (/ (* a (pow c 4)) (pow b 7)))
(* -1 (* a (+ (* 9/16 (/ (pow c 3) (* a (pow b 5)))) (* 135/128 (/ (pow c 4) (pow b 7))))))
(* -1 (* a (+ (* 9/16 (/ (pow c 3) (* a (pow b 5)))) (* 135/128 (/ (pow c 4) (pow b 7))))))
(* -1 (* a (+ (* 9/16 (/ (pow c 3) (* a (pow b 5)))) (* 135/128 (/ (pow c 4) (pow b 7))))))
(* -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 (/ (* a (pow c 4)) (pow b 7)))
(* -135/128 (/ (* a (pow c 4)) (pow b 7)))
(* -135/128 (/ (* a (pow c 4)) (pow b 7)))
(* -135/128 (/ (* a (pow c 4)) (pow b 7)))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 5)))
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -3/8 (/ (pow c 2) (* a (pow b 3))))))
(* (pow a 2) (+ (* -1 (/ (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))) a)) (* -9/16 (/ (pow c 3) (pow b 5)))))
(* (pow a 2) (+ (* -1 (/ (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))) a)) (* -9/16 (/ (pow c 3) (pow b 5)))))
(* -9/16 (/ (* (pow a 2) (pow c 2)) (pow b 5)))
(* (pow a 2) (+ (* -9/16 (/ (pow c 2) (pow b 5))) (* -3/8 (/ c (* a (pow b 3))))))
(* (pow a 2) (+ (* -1 (/ (+ (* 3/8 (/ c (pow b 3))) (* 1/2 (/ 1 (* a b)))) a)) (* -9/16 (/ (pow c 2) (pow b 5)))))
(* (pow a 2) (+ (* -1 (/ (+ (* 3/8 (/ c (pow b 3))) (* 1/2 (/ 1 (* a b)))) a)) (* -9/16 (/ (pow c 2) (pow b 5)))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(* -1 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3))))
(+ (* -1 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ b (* c (pow (sqrt 3) 2)))))
(+ (* -1 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* -1 (/ (* a b) (* c (pow (sqrt 3) 2))))) a)))
(+ (* -1 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* a (pow b 3)) (* (pow c 2) (pow (sqrt 3) 4)))) (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) (sqrt 3)))) (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* -1 (/ (* a b) (* c (pow (sqrt 3) 2))))) a)))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a))))
(* -1 (* a (+ (* -1 (/ (+ (* -1 b) (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* a (+ (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -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))
(* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))
(* -1 (* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* a (- (* -1 (/ (+ b (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* a (- (* -1 (/ (+ b (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (/ b (pow (sqrt 3) 2))) a))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -1 (/ (* a b) (pow (sqrt 3) 2))) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) a))) a))) a))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -1 (/ (* a b) (pow (sqrt 3) 2))) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (* -1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt 3) 4))))) a)) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) a))) a))) a))
(* 3 (* a c))
(* 3 (* a c))
(* 3 (* a c))
(* 3 (* a c))
(* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))
(+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))
(+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 (/ b c))) a)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* 1/3 (/ b c))) a)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))
(* -3 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3))))
(+ (* -3 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (* 3 (/ b (pow (sqrt 3) 2))))
(+ (* -3 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -3 (/ (* a b) (pow (sqrt 3) 2))) (* -3 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) a))) a)))
(+ (* -3 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -3 (/ (* a b) (pow (sqrt 3) 2))) (* -1 (/ (+ (* -3 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (* -1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt 3) 4))))) a)) (* 3 (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) a))) a)))
(* -1/6 a)
(* -1/6 a)
(* -1/6 a)
(* -1/6 a)
(* -3 (* a c))
(* -3 (* a c))
(* -3 (* a c))
(* -3 (* a c))
(* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))
(+ (* -1 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))
(+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (/ b c)) a)) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (/ b c)) a)) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))
Outputs
(* -9/16 (/ (pow c 3) (pow b 5)))
(*.f64 (/.f64 (*.f64 (*.f64 c c) c) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64))
(* (pow c 3) (- (* -135/128 (/ (* a c) (pow b 7))) (* 9/16 (/ 1 (pow b 5)))))
(*.f64 (-.f64 (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a c)) (pow.f64 b #s(literal 7 binary64))) (/.f64 #s(literal 9/16 binary64) (pow.f64 b #s(literal 5 binary64)))) (*.f64 (*.f64 c c) c))
(* (pow c 3) (- (* -135/128 (/ (* a c) (pow b 7))) (* 9/16 (/ 1 (pow b 5)))))
(*.f64 (-.f64 (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a c)) (pow.f64 b #s(literal 7 binary64))) (/.f64 #s(literal 9/16 binary64) (pow.f64 b #s(literal 5 binary64)))) (*.f64 (*.f64 c c) c))
(* (pow c 3) (- (* -135/128 (/ (* a c) (pow b 7))) (* 9/16 (/ 1 (pow b 5)))))
(*.f64 (-.f64 (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a c)) (pow.f64 b #s(literal 7 binary64))) (/.f64 #s(literal 9/16 binary64) (pow.f64 b #s(literal 5 binary64)))) (*.f64 (*.f64 c c) 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 (-.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a c)) (*.f64 (*.f64 b b) b)) (/.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 (*.f64 (*.f64 b b) b)) #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 (neg.f64 (/.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 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)) (pow.f64 b #s(literal 7 binary64)))) c (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) c (neg.f64 (/.f64 #s(literal 1/2 binary64) b))) c)
(* -135/128 (/ (* a (pow c 4)) (pow b 7)))
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(* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))
(*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))))
(+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))
(fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal -1/3 binary64) (/.f64 b (*.f64 a c))))
(+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 (/ b c))) a)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))
(-.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 (*.f64 c c) c))))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (*.f64 #s(literal 1/3 binary64) (/.f64 b c))) a))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* 1/3 (/ b c))) a)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))
(-.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 b c)) (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 a (*.f64 (*.f64 c c) 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 5 binary64)) a)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64))))) a)) a))
(* -3 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3))))
(*.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 (*.f64 a c))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))))
(+ (* -3 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (* 3 (/ b (pow (sqrt 3) 2))))
(fma.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 (*.f64 a c))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (/.f64 b #s(literal 3 binary64)) #s(literal 3 binary64)))
(+ (* -3 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -3 (/ (* a b) (pow (sqrt 3) 2))) (* -3 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) a))) a)))
(-.f64 (*.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 (*.f64 a c))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))) (/.f64 (*.f64 #s(literal -3 binary64) (fma.f64 a (/.f64 b #s(literal 3 binary64)) (/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 (*.f64 a a) a) c)) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64)))) #s(literal -1/2 binary64)) a))) a))
(+ (* -3 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -3 (/ (* a b) (pow (sqrt 3) 2))) (* -1 (/ (+ (* -3 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (* -1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt 3) 4))))) a)) (* 3 (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) a))) a)))
(-.f64 (*.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 (*.f64 a c))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))) (/.f64 (-.f64 (*.f64 (*.f64 a (/.f64 b #s(literal 3 binary64))) #s(literal -3 binary64)) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 b b) b)) (*.f64 (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 4 binary64)) c)) #s(literal -1/2 binary64) (neg.f64 (*.f64 (/.f64 (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 (*.f64 a a) a) c)) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64)))) #s(literal -1/2 binary64))) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (/.f64 a c))))) a) #s(literal -3 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 (*.f64 a a) a) c)) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64)))) #s(literal -1/2 binary64)) #s(literal 3 binary64))) a)) a))
(* -1/6 a)
(*.f64 #s(literal -1/6 binary64) a)
(* -1/6 a)
(*.f64 #s(literal -1/6 binary64) a)
(* -1/6 a)
(*.f64 #s(literal -1/6 binary64) a)
(* -1/6 a)
(*.f64 #s(literal -1/6 binary64) a)
(* -3 (* a c))
(*.f64 (*.f64 #s(literal -3 binary64) c) a)
(* -3 (* a c))
(*.f64 (*.f64 #s(literal -3 binary64) c) a)
(* -3 (* a c))
(*.f64 (*.f64 #s(literal -3 binary64) c) a)
(* -3 (* a c))
(*.f64 (*.f64 #s(literal -3 binary64) c) a)
(* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64)))
(+ (* -1 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (/.f64 (neg.f64 b) (*.f64 a c)))
(+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (/ b c)) a)) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))
(-.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 (*.f64 c c) c))))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (/.f64 b c)) a))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (/ b c)) a)) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))
(-.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) (/.f64 (-.f64 (/.f64 b c) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) a)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 a (*.f64 (*.f64 c c) c)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))))) a)) a))

rewrite291.0ms (2.5%)

Memory
16.4MiB live, 395.8MiB allocated
Rules
4 608×lower-*.f32
4 568×lower-*.f64
4 428×lower-fma.f32
4 418×lower-fma.f64
2 978×lower-pow.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
082602
0131495
1525433
24198423
08333414
Stop Event
iter limit
node limit
iter limit
Counts
24 → 803
Calls
Call 1
Inputs
(fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 c c) #s(literal -9/16 binary64)) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b))))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 c c) #s(literal -9/16 binary64)) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
(*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 c c) #s(literal -9/16 binary64)) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c))
(*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c)
#s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b))
(/.f64 #s(literal -1/2 binary64) b)
(/.f64 #s(literal 1/3 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))) b)))
(/.f64 a (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))) b))
(-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))) b)
(sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))
(-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))
(/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))) #s(literal 3 binary64)))
(-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))
(/.f64 #s(literal -1 binary64) (*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))))
(*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
(*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b))))
(*.f64 a #s(literal -1/6 binary64))
(*.f64 (*.f64 #s(literal -3 binary64) c) a)
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))) #s(literal 3 binary64))
Outputs
(*.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) c) #s(literal -9/16 binary64)) (*.f64 (*.f64 (*.f64 c c) c) #s(literal -9/16 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b))) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal -405/64 binary64) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (*.f64 b b) b))) (*.f64 (*.f64 (*.f64 c c) c) c)) (*.f64 #s(literal -1/6 binary64) a)) (*.f64 #s(literal -1/6 binary64) a)) (*.f64 (/.f64 #s(literal -405/64 binary64) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (*.f64 b b) b))) (*.f64 (*.f64 (*.f64 c c) c) c)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 c (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b)) #s(literal -9/16 binary64)) (*.f64 c c) (*.f64 (neg.f64 a) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (*.f64 c c) c) c)) (/.f64 #s(literal -405/64 binary64) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (*.f64 b b) b))))))))
(*.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal -405/64 binary64) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (*.f64 b b) b))) (*.f64 (*.f64 (*.f64 c c) c) c)) a) #s(literal 3 binary64)) #s(literal -1/216 binary64) (/.f64 (*.f64 (*.f64 #s(literal -729/4096 binary64) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (*.f64 c c))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)) (*.f64 (*.f64 b b) b)) (*.f64 (*.f64 b b) b)) (*.f64 (*.f64 b b) b)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal -405/64 binary64) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (*.f64 b b) b))) (*.f64 (*.f64 (*.f64 c c) c) c)) (*.f64 #s(literal -1/6 binary64) a)) (-.f64 (*.f64 (*.f64 (/.f64 #s(literal -405/64 binary64) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (*.f64 b b) b))) (*.f64 (*.f64 (*.f64 c c) c) c)) (*.f64 #s(literal -1/6 binary64) a)) (*.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 c c)) (/.f64 c (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b)))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) c) #s(literal -9/16 binary64)) (*.f64 (*.f64 (*.f64 c c) c) #s(literal -9/16 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b))))))
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(*.f64 #s(literal 405/64 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (*.f64 b b) b))) (*.f64 (*.f64 (*.f64 c c) c) c)))
(*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal -405/64 binary64) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (*.f64 b b) b))))
(*.f64 (*.f64 (*.f64 c c) c) (*.f64 (/.f64 #s(literal -405/64 binary64) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (*.f64 b b) b))) c))
(*.f64 (*.f64 c c) (*.f64 (*.f64 c c) (/.f64 #s(literal -405/64 binary64) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (*.f64 b b) b)))))
(*.f64 (*.f64 c c) (*.f64 c (*.f64 (/.f64 #s(literal -405/64 binary64) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (*.f64 b b) b))) c)))
(*.f64 c (*.f64 (*.f64 (*.f64 c c) c) (/.f64 #s(literal -405/64 binary64) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (*.f64 b b) b)))))
(*.f64 c (*.f64 (*.f64 c c) (*.f64 (/.f64 #s(literal -405/64 binary64) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (*.f64 b b) b))) c)))
(pow.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (*.f64 b b) b)) (*.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 c c) c) c))) #s(literal -1 binary64))
(/.f64 (/.f64 (*.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 c c) c) c)) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))) b)
(/.f64 (/.f64 (*.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 c c) c) c)) (*.f64 (*.f64 (*.f64 b b) b) b)) (*.f64 (*.f64 b b) b))
(/.f64 (/.f64 (*.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 c c) c) c)) (*.f64 (*.f64 b b) b)) (*.f64 (*.f64 (*.f64 b b) b) b))
(/.f64 (/.f64 (*.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 c c) c) c)) (*.f64 b b)) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b))
(/.f64 (*.f64 (/.f64 #s(literal -405/64 binary64) (*.f64 (*.f64 b b) b)) (*.f64 (*.f64 (*.f64 c c) c) c)) (*.f64 (*.f64 (*.f64 b b) b) b))
(/.f64 (*.f64 #s(literal -405/64 binary64) (*.f64 (*.f64 (*.f64 c c) c) c)) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (*.f64 b b) b)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) c) c)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (*.f64 b b) b)) #s(literal 64/405 binary64)))
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal -405/64 binary64) (*.f64 (*.f64 b b) b))) (*.f64 (*.f64 (*.f64 b b) b) b))
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) #s(literal -405/64 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (*.f64 b b) b)))
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (*.f64 b b) b)) #s(literal 64/405 binary64)))
(/.f64 (neg.f64 (*.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 c c) c) c))) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (*.f64 b b) b)))
(/.f64 (*.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 c c) c) c)) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (*.f64 b b) b)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (*.f64 b b) b)) (*.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 c c) c) c))))
(/.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (*.f64 b b) b)) #s(literal 64/405 binary64)))
(*.f64 #s(literal -1/6 binary64) a)
(*.f64 a #s(literal -1/6 binary64))
(*.f64 (*.f64 a c) #s(literal -3 binary64))
(*.f64 (neg.f64 c) (*.f64 #s(literal 3 binary64) a))
(*.f64 (*.f64 #s(literal -3 binary64) a) c)
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(literal 3 binary64) a) c))
(*.f64 (*.f64 #s(literal -3 binary64) c) a)
(*.f64 #s(literal -3 binary64) (*.f64 a c))
(*.f64 (*.f64 #s(literal 3 binary64) a) (neg.f64 c))
(*.f64 #s(literal 3 binary64) (neg.f64 (*.f64 a c)))
(*.f64 a (*.f64 #s(literal -3 binary64) c))
(*.f64 c (*.f64 #s(literal -3 binary64) a))
(neg.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) c))
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 3 binary64) a) c))
(*.f64 (/.f64 #s(literal -3 binary64) (-.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) #s(literal 3 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
(*.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
(*.f64 #s(literal 3 binary64) (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))
(pow.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal -3 binary64) (/.f64 #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) a) c (*.f64 b b)) (*.f64 b b)))
(/.f64 (/.f64 #s(literal -3 binary64) (-.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (*.f64 b b))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (*.f64 b b))) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -1 binary64) (-.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))
(/.f64 #s(literal -3 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))
(/.f64 #s(literal 3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))

eval286.0ms (2.5%)

Memory
25.9MiB live, 569.3MiB allocated
Compiler

Compiled 59 364 to 4 340 computations (92.7% saved)

prune254.0ms (2.2%)

Memory
-13.5MiB live, 664.9MiB allocated
Pruning

56 alts after pruning (50 fresh and 6 done)

PrunedKeptTotal
New1 577151 592
Fresh223557
Picked145
Done022
Total1 600561 656
Accuracy
100.0%
Counts
1 656 → 56
Alt Table
Click to see full alt table
StatusAccuracyProgram
32.8%
(fma.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (neg.f64 b)))
31.4%
(/.f64 (pow.f64 (pow.f64 a #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) #s(literal 3 binary64)))
31.5%
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64))
31.4%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) (*.f64 #s(literal 3 binary64) a))
90.2%
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (/.f64 (fma.f64 (/.f64 b a) #s(literal -2/3 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))) c))) (*.f64 #s(literal 3 binary64) a))
90.1%
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) (*.f64 a c))) b))) (*.f64 #s(literal 3 binary64) a))
34.7%
(/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (*.f64 b b) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (neg.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) #s(literal 3 binary64)))
31.5%
(/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))))) #s(literal 3 binary64)))
99.0%
(/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 (-.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 #s(literal -3 binary64) c) a)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))) #s(literal 3 binary64)))
99.0%
(/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 #s(approx (- (* b b) (+ (* (* -3 c) a) (* b b))) (*.f64 (*.f64 a c) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))) #s(literal 3 binary64)))
90.1%
(/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (/.f64 (fma.f64 (/.f64 a b) #s(literal 1/2 binary64) (*.f64 (/.f64 b c) #s(literal -2/3 binary64))) a)) #s(literal 3 binary64)))
90.2%
(/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) (*.f64 a c))) b)) #s(literal 3 binary64)))
90.3%
(/.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (/.f64 (fma.f64 #s(literal 3/2 binary64) (/.f64 a b) (*.f64 #s(literal -2 binary64) (/.f64 b c))) a)))
90.3%
(/.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (*.f64 (-.f64 (/.f64 #s(literal 3/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2 binary64) (*.f64 a c))) b)))
95.7%
(/.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* (/ -1 (* (- (* b b) (+ (* (* -3 c) a) (* b b))) (/ 1 (+ (sqrt (+ (* (* -3 c) a) (* b b))) b)))) 3) (/.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 b b) b)) #s(literal 9/8 binary64) (/.f64 (*.f64 #s(literal 27/16 binary64) (*.f64 (*.f64 c c) a)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 #s(literal 3/2 binary64) b)) a (*.f64 #s(literal -2 binary64) (/.f64 b c))) a)))
32.1%
(/.f64 (-.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (*.f64 b b)) (*.f64 (*.f64 #s(literal 3 binary64) a) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))))
31.8%
(/.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))) (*.f64 #s(literal 3 binary64) a))
31.4%
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64)))
31.5%
(/.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))
31.5%
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) #s(literal 3 binary64))
32.1%
(/.f64 (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) (*.f64 #s(literal 3 binary64) a))
32.2%
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.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)))
31.4%
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a)
31.4%
(/.f64 (exp.f64 (*.f64 (log.f64 a) #s(literal -1 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) #s(literal 3 binary64)))
90.1%
(/.f64 #s(approx (/ 1 (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 (*.f64 b b) b)) #s(literal -9/8 binary64) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)) (*.f64 #s(literal 3 binary64) a))
80.6%
(/.f64 #s(approx (/ 1 (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)))) (*.f64 #s(literal 3 binary64) a))
80.7%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 c b) #s(literal -3/2 binary64)) a)) (*.f64 #s(literal 3 binary64) a))
31.4%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 3 binary64)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
33.0%
(/.f64 #s(literal 1/3 binary64) (/.f64 a (/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (*.f64 (+.f64 #s(literal 0 binary64) b) (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) (*.f64 (+.f64 #s(literal 0 binary64) b) (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)))))))
31.4%
(/.f64 #s(literal 1/3 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
31.5%
(/.f64 #s(literal 1/3 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))) b)))
32.1%
(/.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)))
31.4%
(/.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) a))
94.2%
(/.f64 #s(literal 1/3 binary64) #s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (fma.f64 (fma.f64 (*.f64 (/.f64 c (*.f64 (*.f64 b b) b)) #s(literal 3/8 binary64)) a (/.f64 #s(literal 1/2 binary64) b)) a (*.f64 (/.f64 b c) #s(literal -2/3 binary64)))))
90.4%
(/.f64 #s(literal 1/3 binary64) #s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (fma.f64 (/.f64 a b) #s(literal 1/2 binary64) (*.f64 (/.f64 b c) #s(literal -2/3 binary64)))))
94.3%
(/.f64 #s(literal 1/3 binary64) #s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (/.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 a a)) (*.f64 (*.f64 b b) b)) c (*.f64 (/.f64 a b) #s(literal 1/2 binary64))) c (*.f64 #s(literal -2/3 binary64) b)) c)))
90.4%
(/.f64 #s(literal 1/3 binary64) #s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (/.f64 (fma.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64) (*.f64 #s(literal -2/3 binary64) b)) c)))
80.7%
(/.f64 #s(literal 1/3 binary64) #s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (*.f64 (/.f64 b c) #s(literal -2/3 binary64))))
90.4%
(/.f64 #s(literal 1/3 binary64) #s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (*.f64 (-.f64 (*.f64 (/.f64 a (*.f64 b b)) #s(literal 1/2 binary64)) (/.f64 #s(literal 2/3 binary64) c)) b)))
30.8%
(-.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))))
31.1%
(+.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (neg.f64 b)))
31.5%
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -3 binary64)) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))
31.4%
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 1/3 binary64))
31.5%
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))
31.4%
(*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) a)))
31.4%
(*.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))))
90.4%
#s(approx (/ (/ 1 (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) #s(literal -3/8 binary64) (*.f64 #s(literal -1/2 binary64) c)) b))
96.1%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 c c) #s(literal -9/16 binary64)) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
94.4%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (* (* (* c c) (/ c (pow b 5))) -9/16)) a) (/ (* (* c c) -3/8) (* (* b b) b))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) c) a) (*.f64 b b)) #s(literal -9/16 binary64) (*.f64 (*.f64 c c) #s(literal -3/8 binary64))) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
80.8%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c)))
90.0%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (*.f64 c #s(literal -3/8 binary64)) (/.f64 a (*.f64 (*.f64 b b) b)) (/.f64 #s(literal -1/2 binary64) b)) c))
94.0%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 #s(approx (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) (/.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (*.f64 b b))) #s(literal -9/16 binary64) (*.f64 a #s(literal -3/8 binary64))) (*.f64 (*.f64 b b) b))) c (/.f64 #s(literal -1/2 binary64) b)) c))
81.0%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
90.0%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)) b)) c))
80.7%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c))
95.1%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (+ (* (+ (* (+ (* (/ c (* (* (* b b) b) (* b b))) (* (* c c) -9/16)) (* (* a -1/6) (* (* (* (* c c) c) c) (/ 405/64 (* (* (* b b) b) (* (* (* b b) b) b)))))) a) (/ (* (* c c) -3/8) (* (* b b) b))) a) (* (/ c b) -1/2)) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 (*.f64 a a) a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (*.f64 (*.f64 c c) c) (*.f64 (fma.f64 (*.f64 (*.f64 c c) a) #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 b b) c) #s(literal -1/2 binary64))) (*.f64 b b))) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))))
Compiler

Compiled 2 657 to 1 561 computations (41.2% saved)

simplify162.0ms (1.4%)

Memory
17.2MiB live, 172.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 #s(approx (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) (/.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (*.f64 b b))) #s(literal -9/16 binary64) (*.f64 a #s(literal -3/8 binary64))) (*.f64 (*.f64 b b) b))) c (/.f64 #s(literal -1/2 binary64) b))
cost-diff0
(*.f64 (fma.f64 #s(approx (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) (/.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (*.f64 b b))) #s(literal -9/16 binary64) (*.f64 a #s(literal -3/8 binary64))) (*.f64 (*.f64 b b) b))) c (/.f64 #s(literal -1/2 binary64) b)) c)
cost-diff0
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 #s(approx (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) (/.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (*.f64 b b))) #s(literal -9/16 binary64) (*.f64 a #s(literal -3/8 binary64))) (*.f64 (*.f64 b b) b))) c (/.f64 #s(literal -1/2 binary64) b)) c))
cost-diff320
(fma.f64 (*.f64 (*.f64 a a) (/.f64 c (*.f64 b b))) #s(literal -9/16 binary64) (*.f64 a #s(literal -3/8 binary64)))
cost-diff0
#s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (*.f64 (-.f64 (/.f64 #s(literal 3/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2 binary64) (*.f64 a c))) b))
cost-diff0
(/.f64 #s(literal 1 binary64) a)
cost-diff128
(*.f64 (-.f64 (/.f64 #s(literal 3/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2 binary64) (*.f64 a c))) b)
cost-diff384
(/.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (*.f64 (-.f64 (/.f64 #s(literal 3/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2 binary64) (*.f64 a c))) b)))
cost-diff0
(/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b))
cost-diff0
(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) #s(literal -3/8 binary64) (*.f64 #s(literal -1/2 binary64) c)) b)
cost-diff0
#s(approx (/ (/ 1 (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) #s(literal -3/8 binary64) (*.f64 #s(literal -1/2 binary64) c)) b))
cost-diff320
(fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) #s(literal -3/8 binary64) (*.f64 #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-diff512
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 (-.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 #s(literal -3 binary64) c) a)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))) #s(literal 3 binary64))
cost-diff704
(/.f64 #s(literal -1 binary64) (*.f64 (-.f64 (-.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 #s(literal -3 binary64) c) a)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))))
cost-diff832
(-.f64 (*.f64 b b) (*.f64 b b))
cost-diff1216
(/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 (-.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 #s(literal -3 binary64) c) a)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))) #s(literal 3 binary64)))
Rules
4 388×lower-*.f32
4 358×lower-*.f64
3 326×lower-/.f32
3 298×lower-/.f64
2 396×lower-neg.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
082719
0124673
1240629
2528609
31451602
44666601
08608585
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 (-.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 #s(literal -3 binary64) c) a)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) a)
#s(literal 1 binary64)
a
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 (-.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 #s(literal -3 binary64) c) a)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))) #s(literal 3 binary64))
(/.f64 #s(literal -1 binary64) (*.f64 (-.f64 (-.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 #s(literal -3 binary64) c) a)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))))
#s(literal -1 binary64)
(*.f64 (-.f64 (-.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 #s(literal -3 binary64) c) a)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
(-.f64 (-.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 #s(literal -3 binary64) c) a))
(-.f64 (*.f64 b b) (*.f64 b b))
(*.f64 b b)
b
(*.f64 (*.f64 #s(literal -3 binary64) c) a)
(*.f64 #s(literal -3 binary64) c)
#s(literal -3 binary64)
c
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))
(+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))
#s(literal 3 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c)))
(/.f64 #s(literal -1/2 binary64) (/.f64 b c))
#s(literal -1/2 binary64)
(/.f64 b c)
b
c
#s(approx (/ (/ 1 (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) #s(literal -3/8 binary64) (*.f64 #s(literal -1/2 binary64) c)) b))
(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) #s(literal -3/8 binary64) (*.f64 #s(literal -1/2 binary64) c)) b)
(fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) #s(literal -3/8 binary64) (*.f64 #s(literal -1/2 binary64) c))
(/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b))
(*.f64 (*.f64 c c) a)
(*.f64 c c)
c
a
(*.f64 b b)
b
#s(literal -3/8 binary64)
(*.f64 #s(literal -1/2 binary64) c)
#s(literal -1/2 binary64)
(/.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (*.f64 (-.f64 (/.f64 #s(literal 3/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2 binary64) (*.f64 a c))) b)))
(/.f64 #s(literal 1 binary64) a)
#s(literal 1 binary64)
a
#s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (*.f64 (-.f64 (/.f64 #s(literal 3/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2 binary64) (*.f64 a c))) b))
(*.f64 (-.f64 (/.f64 #s(literal 3/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2 binary64) (*.f64 a c))) b)
(-.f64 (/.f64 #s(literal 3/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2 binary64) (*.f64 a c)))
(/.f64 #s(literal 3/2 binary64) (*.f64 b b))
#s(literal 3/2 binary64)
(*.f64 b b)
b
(/.f64 #s(literal 2 binary64) (*.f64 a c))
#s(literal 2 binary64)
(*.f64 a c)
c
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 #s(approx (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) (/.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (*.f64 b b))) #s(literal -9/16 binary64) (*.f64 a #s(literal -3/8 binary64))) (*.f64 (*.f64 b b) b))) c (/.f64 #s(literal -1/2 binary64) b)) c))
(*.f64 (fma.f64 #s(approx (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) (/.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (*.f64 b b))) #s(literal -9/16 binary64) (*.f64 a #s(literal -3/8 binary64))) (*.f64 (*.f64 b b) b))) c (/.f64 #s(literal -1/2 binary64) b)) c)
(fma.f64 #s(approx (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) (/.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (*.f64 b b))) #s(literal -9/16 binary64) (*.f64 a #s(literal -3/8 binary64))) (*.f64 (*.f64 b b) b))) c (/.f64 #s(literal -1/2 binary64) b))
#s(approx (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) (/.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (*.f64 b b))) #s(literal -9/16 binary64) (*.f64 a #s(literal -3/8 binary64))) (*.f64 (*.f64 b b) b)))
(/.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (*.f64 b b))) #s(literal -9/16 binary64) (*.f64 a #s(literal -3/8 binary64))) (*.f64 (*.f64 b b) b))
(fma.f64 (*.f64 (*.f64 a a) (/.f64 c (*.f64 b b))) #s(literal -9/16 binary64) (*.f64 a #s(literal -3/8 binary64)))
(*.f64 (*.f64 a a) (/.f64 c (*.f64 b b)))
(*.f64 a a)
a
(/.f64 c (*.f64 b b))
c
(*.f64 b b)
b
#s(literal -9/16 binary64)
(*.f64 a #s(literal -3/8 binary64))
#s(literal -3/8 binary64)
(*.f64 (*.f64 b b) b)
(/.f64 #s(literal -1/2 binary64) b)
#s(literal -1/2 binary64)
Outputs
(/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 (-.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 #s(literal -3 binary64) c) a)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))) #s(literal 3 binary64)))
(*.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 #s(literal 3 binary64) c) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)))
(/.f64 #s(literal 1 binary64) a)
#s(literal 1 binary64)
a
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 (-.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 #s(literal -3 binary64) c) a)) (/.f64 #s(literal 1 binary64) (+.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 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (*.f64 c a))
(/.f64 #s(literal -1 binary64) (*.f64 (-.f64 (-.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 #s(literal -3 binary64) c) a)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))))
(*.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 c a)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b))
#s(literal -1 binary64)
(*.f64 (-.f64 (-.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 #s(literal -3 binary64) c) a)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
(/.f64 (*.f64 (*.f64 #s(literal 3 binary64) c) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b))
(-.f64 (-.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 #s(literal -3 binary64) c) a))
(*.f64 (*.f64 #s(literal 3 binary64) c) a)
(-.f64 (*.f64 b b) (*.f64 b b))
#s(literal 0 binary64)
(*.f64 b b)
b
(*.f64 (*.f64 #s(literal -3 binary64) c) a)
(*.f64 (*.f64 c #s(literal -3 binary64)) a)
(*.f64 #s(literal -3 binary64) c)
(*.f64 c #s(literal -3 binary64))
#s(literal -3 binary64)
c
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b))
(+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)
(+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))
(sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))
(fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))
#s(literal 3 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
(/.f64 #s(literal -1/2 binary64) (/.f64 b c))
(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(/.f64 b c)
b
c
#s(approx (/ (/ 1 (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) #s(literal -3/8 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 (/.f64 #s(literal -3/8 binary64) (*.f64 b b)) a) c #s(literal -1/2 binary64))) b))
(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) #s(literal -3/8 binary64) (*.f64 #s(literal -1/2 binary64) c)) b)
(/.f64 (*.f64 c (fma.f64 (*.f64 (/.f64 #s(literal -3/8 binary64) (*.f64 b b)) a) c #s(literal -1/2 binary64))) b)
(fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) #s(literal -3/8 binary64) (*.f64 #s(literal -1/2 binary64) c))
(*.f64 c (fma.f64 (*.f64 (/.f64 #s(literal -3/8 binary64) (*.f64 b b)) a) c #s(literal -1/2 binary64)))
(/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b))
(*.f64 (*.f64 (/.f64 c (*.f64 b b)) c) a)
(*.f64 (*.f64 c c) a)
(*.f64 c c)
c
a
(*.f64 b b)
b
#s(literal -3/8 binary64)
(*.f64 #s(literal -1/2 binary64) c)
#s(literal -1/2 binary64)
(/.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (*.f64 (-.f64 (/.f64 #s(literal 3/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2 binary64) (*.f64 a c))) b)))
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (fma.f64 #s(literal -2 binary64) (/.f64 b (*.f64 c a)) (*.f64 (/.f64 #s(literal 3/2 binary64) b) #s(literal 1 binary64)))) a))
(/.f64 #s(literal 1 binary64) a)
#s(literal 1 binary64)
a
#s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (*.f64 (-.f64 (/.f64 #s(literal 3/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2 binary64) (*.f64 a c))) b))
#s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (fma.f64 #s(literal -2 binary64) (/.f64 b (*.f64 c a)) (*.f64 (/.f64 #s(literal 3/2 binary64) b) #s(literal 1 binary64))))
(*.f64 (-.f64 (/.f64 #s(literal 3/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2 binary64) (*.f64 a c))) b)
(fma.f64 #s(literal -2 binary64) (/.f64 b (*.f64 c a)) (*.f64 (/.f64 #s(literal 3/2 binary64) b) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 3/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2 binary64) (*.f64 a c)))
(-.f64 (/.f64 #s(literal 3/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2 binary64) (*.f64 c a)))
(/.f64 #s(literal 3/2 binary64) (*.f64 b b))
#s(literal 3/2 binary64)
(*.f64 b b)
b
(/.f64 #s(literal 2 binary64) (*.f64 a c))
(/.f64 #s(literal 2 binary64) (*.f64 c a))
#s(literal 2 binary64)
(*.f64 a c)
(*.f64 c a)
c
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 #s(approx (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) (/.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (*.f64 b b))) #s(literal -9/16 binary64) (*.f64 a #s(literal -3/8 binary64))) (*.f64 (*.f64 b b) b))) c (/.f64 #s(literal -1/2 binary64) b)) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 #s(approx (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) a) (/.f64 c (*.f64 b b)) #s(literal -3/8 binary64)) a) (*.f64 (*.f64 b b) b))) c (/.f64 #s(literal -1/2 binary64) b)) c))
(*.f64 (fma.f64 #s(approx (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) (/.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (*.f64 b b))) #s(literal -9/16 binary64) (*.f64 a #s(literal -3/8 binary64))) (*.f64 (*.f64 b b) b))) c (/.f64 #s(literal -1/2 binary64) b)) c)
(*.f64 (fma.f64 #s(approx (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) a) (/.f64 c (*.f64 b b)) #s(literal -3/8 binary64)) a) (*.f64 (*.f64 b b) b))) c (/.f64 #s(literal -1/2 binary64) b)) c)
(fma.f64 #s(approx (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) (/.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (*.f64 b b))) #s(literal -9/16 binary64) (*.f64 a #s(literal -3/8 binary64))) (*.f64 (*.f64 b b) b))) c (/.f64 #s(literal -1/2 binary64) b))
(fma.f64 #s(approx (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) a) (/.f64 c (*.f64 b b)) #s(literal -3/8 binary64)) a) (*.f64 (*.f64 b b) b))) c (/.f64 #s(literal -1/2 binary64) b))
#s(approx (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) (/.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (*.f64 b b))) #s(literal -9/16 binary64) (*.f64 a #s(literal -3/8 binary64))) (*.f64 (*.f64 b b) b)))
#s(approx (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) a) (/.f64 c (*.f64 b b)) #s(literal -3/8 binary64)) a) (*.f64 (*.f64 b b) b)))
(/.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (*.f64 b b))) #s(literal -9/16 binary64) (*.f64 a #s(literal -3/8 binary64))) (*.f64 (*.f64 b b) b))
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) a) (/.f64 c (*.f64 b b)) #s(literal -3/8 binary64)) a) (*.f64 (*.f64 b b) b))
(fma.f64 (*.f64 (*.f64 a a) (/.f64 c (*.f64 b b))) #s(literal -9/16 binary64) (*.f64 a #s(literal -3/8 binary64)))
(*.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) a) (/.f64 c (*.f64 b b)) #s(literal -3/8 binary64)) a)
(*.f64 (*.f64 a a) (/.f64 c (*.f64 b b)))
(*.f64 (*.f64 a (/.f64 a (*.f64 b b))) c)
(*.f64 a a)
a
(/.f64 c (*.f64 b b))
c
(*.f64 b b)
b
#s(literal -9/16 binary64)
(*.f64 a #s(literal -3/8 binary64))
(*.f64 #s(literal -3/8 binary64) a)
#s(literal -3/8 binary64)
(*.f64 (*.f64 b b) b)
(/.f64 #s(literal -1/2 binary64) b)
#s(literal -1/2 binary64)

localize187.0ms (1.6%)

Memory
-18.0MiB live, 342.7MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.12109375
(*.f64 (*.f64 a a) (/.f64 c (*.f64 b b)))
accuracy0.125
(*.f64 (fma.f64 #s(approx (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) (/.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (*.f64 b b))) #s(literal -9/16 binary64) (*.f64 a #s(literal -3/8 binary64))) (*.f64 (*.f64 b b) b))) c (/.f64 #s(literal -1/2 binary64) b)) c)
accuracy0.15625
(/.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (*.f64 b b))) #s(literal -9/16 binary64) (*.f64 a #s(literal -3/8 binary64))) (*.f64 (*.f64 b b) b))
accuracy3.5314510743978693
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 #s(approx (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) (/.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (*.f64 b b))) #s(literal -9/16 binary64) (*.f64 a #s(literal -3/8 binary64))) (*.f64 (*.f64 b b) b))) c (/.f64 #s(literal -1/2 binary64) b)) c))
accuracy0.1015625
(-.f64 (/.f64 #s(literal 3/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2 binary64) (*.f64 a c)))
accuracy0.10546875
(/.f64 #s(literal 2 binary64) (*.f64 a c))
accuracy0.13671875
(/.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (*.f64 (-.f64 (/.f64 #s(literal 3/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2 binary64) (*.f64 a c))) b)))
accuracy5.857705304581276
#s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (*.f64 (-.f64 (/.f64 #s(literal 3/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2 binary64) (*.f64 a c))) b))
accuracy0.08203125
(/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b))
accuracy0.09765625
(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) #s(literal -3/8 binary64) (*.f64 #s(literal -1/2 binary64) c)) b)
accuracy0.109375
(*.f64 (*.f64 c c) a)
accuracy6.1070102939599495
#s(approx (/ (/ 1 (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) #s(literal -3/8 binary64) (*.f64 #s(literal -1/2 binary64) c)) b))
accuracy0
(/.f64 b c)
accuracy0.0703125
(/.f64 #s(literal -1/2 binary64) (/.f64 b c))
accuracy11.632956718749005
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c)))
accuracy0.10546875
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 (-.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 #s(literal -3 binary64) c) a)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))) #s(literal 3 binary64))
accuracy0.12109375
(/.f64 #s(literal -1 binary64) (*.f64 (-.f64 (-.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 #s(literal -3 binary64) c) a)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))))
accuracy0.13671875
(/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 (-.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 #s(literal -3 binary64) c) a)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))) #s(literal 3 binary64)))
accuracy0.15234375
(*.f64 (-.f64 (-.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 #s(literal -3 binary64) c) a)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
Samples
91.0ms163×1exit
43.0ms93×0valid
Compiler

Compiled 574 to 76 computations (86.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 105.0ms
ival-mult: 36.0ms (34.3% of total)
ival-div: 30.0ms (28.6% of total)
adjust: 15.0ms (14.3% of total)
ival-add: 8.0ms (7.6% of total)
ival-sub: 5.0ms (4.8% of total)
ival-sqrt: 5.0ms (4.8% of total)
ival-pow: 3.0ms (2.9% of total)
exact: 1.0ms (1% of total)
ival-neg: 1.0ms (1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series94.0ms (0.8%)

Memory
24.4MiB live, 182.6MiB allocated
Counts
25 → 804
Calls
Call 1
Inputs
#s(alt (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 (-.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 #s(literal -3 binary64) c) a)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))) #s(literal 3 binary64))) (patch (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 (-.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 #s(literal -3 binary64) c) a)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))) #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt (-.f64 (*.f64 b b) (*.f64 b b)) (patch (-.f64 (*.f64 b b) (*.f64 b b)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 (-.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 #s(literal -3 binary64) c) a)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))) (patch (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 (-.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 #s(literal -3 binary64) c) a)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 (-.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 #s(literal -3 binary64) c) a)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))) #s(literal 3 binary64)) (patch (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 (-.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 #s(literal -3 binary64) c) a)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1/2 binary64) (/.f64 b c)) (patch (/.f64 #s(literal -1/2 binary64) (/.f64 b c)) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) #<representation binary64>) () ())
#s(alt (/.f64 b c) (patch (/.f64 b c) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) #s(literal -3/8 binary64) (*.f64 #s(literal -1/2 binary64) c)) (patch (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) #s(literal -3/8 binary64) (*.f64 #s(literal -1/2 binary64) c)) #<representation binary64>) () ())
#s(alt #s(approx (/ (/ 1 (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) #s(literal -3/8 binary64) (*.f64 #s(literal -1/2 binary64) c)) b)) (patch #s(approx (/ (/ 1 (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) #s(literal -3/8 binary64) (*.f64 #s(literal -1/2 binary64) c)) b)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) #s(literal -3/8 binary64) (*.f64 #s(literal -1/2 binary64) c)) b) (patch (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) #s(literal -3/8 binary64) (*.f64 #s(literal -1/2 binary64) c)) b) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) (patch (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (*.f64 (-.f64 (/.f64 #s(literal 3/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2 binary64) (*.f64 a c))) b))) (patch (/.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (*.f64 (-.f64 (/.f64 #s(literal 3/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2 binary64) (*.f64 a c))) b))) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 (/.f64 #s(literal 3/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2 binary64) (*.f64 a c))) b) (patch (*.f64 (-.f64 (/.f64 #s(literal 3/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2 binary64) (*.f64 a c))) b) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) a) (patch (/.f64 #s(literal 1 binary64) a) #<representation binary64>) () ())
#s(alt #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (*.f64 (-.f64 (/.f64 #s(literal 3/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2 binary64) (*.f64 a c))) b)) (patch #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (*.f64 (-.f64 (/.f64 #s(literal 3/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2 binary64) (*.f64 a c))) b)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (*.f64 b b))) #s(literal -9/16 binary64) (*.f64 a #s(literal -3/8 binary64))) (patch (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (*.f64 b b))) #s(literal -9/16 binary64) (*.f64 a #s(literal -3/8 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 #s(approx (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) (/.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (*.f64 b b))) #s(literal -9/16 binary64) (*.f64 a #s(literal -3/8 binary64))) (*.f64 (*.f64 b b) b))) c (/.f64 #s(literal -1/2 binary64) b)) c)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 #s(approx (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) (/.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (*.f64 b b))) #s(literal -9/16 binary64) (*.f64 a #s(literal -3/8 binary64))) (*.f64 (*.f64 b b) b))) c (/.f64 #s(literal -1/2 binary64) b)) c)) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 #s(approx (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) (/.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (*.f64 b b))) #s(literal -9/16 binary64) (*.f64 a #s(literal -3/8 binary64))) (*.f64 (*.f64 b b) b))) c (/.f64 #s(literal -1/2 binary64) b)) c) (patch (*.f64 (fma.f64 #s(approx (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) (/.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (*.f64 b b))) #s(literal -9/16 binary64) (*.f64 a #s(literal -3/8 binary64))) (*.f64 (*.f64 b b) b))) c (/.f64 #s(literal -1/2 binary64) b)) c) #<representation binary64>) () ())
#s(alt (fma.f64 #s(approx (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) (/.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (*.f64 b b))) #s(literal -9/16 binary64) (*.f64 a #s(literal -3/8 binary64))) (*.f64 (*.f64 b b) b))) c (/.f64 #s(literal -1/2 binary64) b)) (patch (fma.f64 #s(approx (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) (/.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (*.f64 b b))) #s(literal -9/16 binary64) (*.f64 a #s(literal -3/8 binary64))) (*.f64 (*.f64 b b) b))) c (/.f64 #s(literal -1/2 binary64) b)) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 (-.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 #s(literal -3 binary64) c) a)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) (patch (*.f64 (-.f64 (-.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 #s(literal -3 binary64) c) a)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 c c) a) (patch (*.f64 (*.f64 c c) a) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 2 binary64) (*.f64 a c)) (patch (/.f64 #s(literal 2 binary64) (*.f64 a c)) #<representation binary64>) () ())
#s(alt (-.f64 (/.f64 #s(literal 3/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2 binary64) (*.f64 a c))) (patch (-.f64 (/.f64 #s(literal 3/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2 binary64) (*.f64 a c))) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (*.f64 b b))) #s(literal -9/16 binary64) (*.f64 a #s(literal -3/8 binary64))) (*.f64 (*.f64 b b) b)) (patch (/.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (*.f64 b b))) #s(literal -9/16 binary64) (*.f64 a #s(literal -3/8 binary64))) (*.f64 (*.f64 b b) b)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 a a) (/.f64 c (*.f64 b b))) (patch (*.f64 (*.f64 a a) (/.f64 c (*.f64 b b))) #<representation binary64>) () ())
Outputs
#s(alt (* -1/2 (/ c b)) (taylor 0 c) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 (-.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 #s(literal -3 binary64) c) a)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))) #s(literal 3 binary64))) (patch (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 (-.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 #s(literal -3 binary64) c) a)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 (-.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 #s(literal -3 binary64) c) a)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))) #s(literal 3 binary64))) (patch (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 (-.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 #s(literal -3 binary64) c) a)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 (-.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 #s(literal -3 binary64) c) a)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))) #s(literal 3 binary64))) (patch (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 (-.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 #s(literal -3 binary64) c) a)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* c (+ (* -27/32 (/ (pow a 3) (pow b 7))) (* -27/128 (/ (pow a 3) (pow b 7))))))))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 (-.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 #s(literal -3 binary64) c) a)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))) #s(literal 3 binary64))) (patch (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 (-.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 #s(literal -3 binary64) c) a)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -2/3 (/ b (* a c))) (taylor 0 c) (#s(alt (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 (-.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 #s(literal -3 binary64) c) a)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))) (patch (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 (-.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 #s(literal -3 binary64) c) a)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2/3 (/ b a)) (* 1/2 (/ c b))) c) (taylor 0 c) (#s(alt (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 (-.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 #s(literal -3 binary64) c) a)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))) (patch (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 (-.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 #s(literal -3 binary64) c) a)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2/3 (/ b a)) (* c (+ (* 3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))) c) (taylor 0 c) (#s(alt (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 (-.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 #s(literal -3 binary64) c) a)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))) (patch (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 (-.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 #s(literal -3 binary64) c) a)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2/3 (/ b a)) (* c (+ (* c (+ (* 3/8 (/ a (pow b 3))) (* 9/16 (/ (* (pow a 2) c) (pow b 5))))) (* 1/2 (/ 1 b))))) c) (taylor 0 c) (#s(alt (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 (-.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 #s(literal -3 binary64) c) a)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))) (patch (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 (-.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 #s(literal -3 binary64) c) a)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ b (* a c))) (taylor 0 c) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 (-.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 #s(literal -3 binary64) c) a)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))) #s(literal 3 binary64)) (patch (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 (-.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 #s(literal -3 binary64) c) a)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 (/ b a)) (* 3/2 (/ c b))) c) (taylor 0 c) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 (-.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 #s(literal -3 binary64) c) a)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))) #s(literal 3 binary64)) (patch (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 (-.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 #s(literal -3 binary64) c) a)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 (/ b a)) (* c (+ (* 9/8 (/ (* a c) (pow b 3))) (* 3/2 (/ 1 b))))) c) (taylor 0 c) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 (-.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 #s(literal -3 binary64) c) a)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))) #s(literal 3 binary64)) (patch (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 (-.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 #s(literal -3 binary64) c) a)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 (/ b a)) (* c (+ (* c (+ (* 9/8 (/ a (pow b 3))) (* 27/16 (/ (* (pow a 2) c) (pow b 5))))) (* 3/2 (/ 1 b))))) c) (taylor 0 c) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 (-.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 #s(literal -3 binary64) c) a)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))) #s(literal 3 binary64)) (patch (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 (-.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 #s(literal -3 binary64) c) a)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ c b)) (taylor 0 c) (#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 (* -1/2 (/ c b)) (taylor 0 c) (#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 (* -1/2 (/ c b)) (taylor 0 c) (#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 (* -1/2 (/ c b)) (taylor 0 c) (#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 (* -1/2 (/ c b)) (taylor 0 c) (#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 (* 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(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 (* 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(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 (* 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(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 (/ b c) (taylor 0 c) (#s(alt (/.f64 b c) (patch (/.f64 b c) #<representation binary64>) () ())) ())
#s(alt (/ b c) (taylor 0 c) (#s(alt (/.f64 b c) (patch (/.f64 b c) #<representation binary64>) () ())) ())
#s(alt (/ b c) (taylor 0 c) (#s(alt (/.f64 b c) (patch (/.f64 b c) #<representation binary64>) () ())) ())
#s(alt (/ b c) (taylor 0 c) (#s(alt (/.f64 b c) (patch (/.f64 b c) #<representation binary64>) () ())) ())
#s(alt (* -1/2 c) (taylor 0 c) (#s(alt (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) #s(literal -3/8 binary64) (*.f64 #s(literal -1/2 binary64) c)) (patch (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) #s(literal -3/8 binary64) (*.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) a) (*.f64 b b)) #s(literal -3/8 binary64) (*.f64 #s(literal -1/2 binary64) c)) (patch (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) #s(literal -3/8 binary64) (*.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) a) (*.f64 b b)) #s(literal -3/8 binary64) (*.f64 #s(literal -1/2 binary64) c)) (patch (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) #s(literal -3/8 binary64) (*.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) a) (*.f64 b b)) #s(literal -3/8 binary64) (*.f64 #s(literal -1/2 binary64) c)) (patch (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) #s(literal -3/8 binary64) (*.f64 #s(literal -1/2 binary64) c)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ c b)) (taylor 0 c) (#s(alt #s(approx (/ (/ 1 (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) #s(literal -3/8 binary64) (*.f64 #s(literal -1/2 binary64) c)) b)) (patch #s(approx (/ (/ 1 (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) #s(literal -3/8 binary64) (*.f64 #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 (/ (/ 1 (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) #s(literal -3/8 binary64) (*.f64 #s(literal -1/2 binary64) c)) b)) (patch #s(approx (/ (/ 1 (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) #s(literal -3/8 binary64) (*.f64 #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 (/ (/ 1 (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) #s(literal -3/8 binary64) (*.f64 #s(literal -1/2 binary64) c)) b)) (patch #s(approx (/ (/ 1 (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) #s(literal -3/8 binary64) (*.f64 #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 (/ (/ 1 (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) #s(literal -3/8 binary64) (*.f64 #s(literal -1/2 binary64) c)) b)) (patch #s(approx (/ (/ 1 (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) #s(literal -3/8 binary64) (*.f64 #s(literal -1/2 binary64) c)) b)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ c b)) (taylor 0 c) (#s(alt (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) #s(literal -3/8 binary64) (*.f64 #s(literal -1/2 binary64) c)) b) (patch (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) #s(literal -3/8 binary64) (*.f64 #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 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) #s(literal -3/8 binary64) (*.f64 #s(literal -1/2 binary64) c)) b) (patch (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) #s(literal -3/8 binary64) (*.f64 #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 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) #s(literal -3/8 binary64) (*.f64 #s(literal -1/2 binary64) c)) b) (patch (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) #s(literal -3/8 binary64) (*.f64 #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 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) #s(literal -3/8 binary64) (*.f64 #s(literal -1/2 binary64) c)) b) (patch (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) #s(literal -3/8 binary64) (*.f64 #s(literal -1/2 binary64) c)) b) #<representation binary64>) () ())) ())
#s(alt (/ (* a (pow c 2)) (pow b 2)) (taylor 0 c) (#s(alt (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) (patch (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (/ (* a (pow c 2)) (pow b 2)) (taylor 0 c) (#s(alt (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) (patch (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (/ (* a (pow c 2)) (pow b 2)) (taylor 0 c) (#s(alt (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) (patch (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) #<representation binary64>) () ())) ())
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#s(alt (* (pow a 2) (+ (* -1 (/ (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))) a)) (* -9/16 (/ (pow c 3) (pow b 5))))) (taylor -inf a) (#s(alt (*.f64 (fma.f64 #s(approx (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) (/.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (*.f64 b b))) #s(literal -9/16 binary64) (*.f64 a #s(literal -3/8 binary64))) (*.f64 (*.f64 b b) b))) c (/.f64 #s(literal -1/2 binary64) b)) c) (patch (*.f64 (fma.f64 #s(approx (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) (/.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (*.f64 b b))) #s(literal -9/16 binary64) (*.f64 a #s(literal -3/8 binary64))) (*.f64 (*.f64 b b) b))) c (/.f64 #s(literal -1/2 binary64) b)) c) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ (* -1 (/ (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))) a)) (* -9/16 (/ (pow c 3) (pow b 5))))) (taylor -inf a) (#s(alt (*.f64 (fma.f64 #s(approx (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) (/.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (*.f64 b b))) #s(literal -9/16 binary64) (*.f64 a #s(literal -3/8 binary64))) (*.f64 (*.f64 b b) b))) c (/.f64 #s(literal -1/2 binary64) b)) c) (patch (*.f64 (fma.f64 #s(approx (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) (/.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (*.f64 b b))) #s(literal -9/16 binary64) (*.f64 a #s(literal -3/8 binary64))) (*.f64 (*.f64 b b) b))) c (/.f64 #s(literal -1/2 binary64) b)) c) #<representation binary64>) () ())) ())
#s(alt (* -9/16 (/ (* (pow a 2) (pow c 2)) (pow b 5))) (taylor -inf a) (#s(alt (fma.f64 #s(approx (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) (/.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (*.f64 b b))) #s(literal -9/16 binary64) (*.f64 a #s(literal -3/8 binary64))) (*.f64 (*.f64 b b) b))) c (/.f64 #s(literal -1/2 binary64) b)) (patch (fma.f64 #s(approx (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) (/.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (*.f64 b b))) #s(literal -9/16 binary64) (*.f64 a #s(literal -3/8 binary64))) (*.f64 (*.f64 b b) b))) c (/.f64 #s(literal -1/2 binary64) b)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ (* -9/16 (/ (pow c 2) (pow b 5))) (* -3/8 (/ c (* a (pow b 3)))))) (taylor -inf a) (#s(alt (fma.f64 #s(approx (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) (/.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (*.f64 b b))) #s(literal -9/16 binary64) (*.f64 a #s(literal -3/8 binary64))) (*.f64 (*.f64 b b) b))) c (/.f64 #s(literal -1/2 binary64) b)) (patch (fma.f64 #s(approx (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) (/.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (*.f64 b b))) #s(literal -9/16 binary64) (*.f64 a #s(literal -3/8 binary64))) (*.f64 (*.f64 b b) b))) c (/.f64 #s(literal -1/2 binary64) b)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ (* -1 (/ (+ (* 3/8 (/ c (pow b 3))) (* 1/2 (/ 1 (* a b)))) a)) (* -9/16 (/ (pow c 2) (pow b 5))))) (taylor -inf a) (#s(alt (fma.f64 #s(approx (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) (/.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (*.f64 b b))) #s(literal -9/16 binary64) (*.f64 a #s(literal -3/8 binary64))) (*.f64 (*.f64 b b) b))) c (/.f64 #s(literal -1/2 binary64) b)) (patch (fma.f64 #s(approx (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) (/.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (*.f64 b b))) #s(literal -9/16 binary64) (*.f64 a #s(literal -3/8 binary64))) (*.f64 (*.f64 b b) b))) c (/.f64 #s(literal -1/2 binary64) b)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ (* -1 (/ (+ (* 3/8 (/ c (pow b 3))) (* 1/2 (/ 1 (* a b)))) a)) (* -9/16 (/ (pow c 2) (pow b 5))))) (taylor -inf a) (#s(alt (fma.f64 #s(approx (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) (/.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (*.f64 b b))) #s(literal -9/16 binary64) (*.f64 a #s(literal -3/8 binary64))) (*.f64 (*.f64 b b) b))) c (/.f64 #s(literal -1/2 binary64) b)) (patch (fma.f64 #s(approx (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) (/.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (*.f64 b b))) #s(literal -9/16 binary64) (*.f64 a #s(literal -3/8 binary64))) (*.f64 (*.f64 b b) b))) c (/.f64 #s(literal -1/2 binary64) b)) #<representation binary64>) () ())) ())
#s(alt (* -3 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (taylor -inf a) (#s(alt (*.f64 (-.f64 (-.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 #s(literal -3 binary64) c) a)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) (patch (*.f64 (-.f64 (-.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 #s(literal -3 binary64) c) a)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) #<representation binary64>) () ())) ())
#s(alt (+ (* -3 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (* 3 (/ b (pow (sqrt 3) 2)))) (taylor -inf a) (#s(alt (*.f64 (-.f64 (-.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 #s(literal -3 binary64) c) a)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) (patch (*.f64 (-.f64 (-.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 #s(literal -3 binary64) c) a)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) #<representation binary64>) () ())) ())
#s(alt (+ (* -3 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -3 (/ (* a b) (pow (sqrt 3) 2))) (* -3 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) a))) a))) (taylor -inf a) (#s(alt (*.f64 (-.f64 (-.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 #s(literal -3 binary64) c) a)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) (patch (*.f64 (-.f64 (-.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 #s(literal -3 binary64) c) a)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) #<representation binary64>) () ())) ())
#s(alt (+ (* -3 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -3 (/ (* a b) (pow (sqrt 3) 2))) (* -1 (/ (+ (* -3 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (* -1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt 3) 4))))) a)) (* 3 (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) a))) a))) (taylor -inf a) (#s(alt (*.f64 (-.f64 (-.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 #s(literal -3 binary64) c) a)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) (patch (*.f64 (-.f64 (-.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 #s(literal -3 binary64) c) a)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) #<representation binary64>) () ())) ())
#s(alt (* a (pow c 2)) (taylor -inf a) (#s(alt (*.f64 (*.f64 c c) a) (patch (*.f64 (*.f64 c c) a) #<representation binary64>) () ())) ())
#s(alt (* a (pow c 2)) (taylor -inf a) (#s(alt (*.f64 (*.f64 c c) a) (patch (*.f64 (*.f64 c c) a) #<representation binary64>) () ())) ())
#s(alt (* a (pow c 2)) (taylor -inf a) (#s(alt (*.f64 (*.f64 c c) a) (patch (*.f64 (*.f64 c c) a) #<representation binary64>) () ())) ())
#s(alt (* a (pow c 2)) (taylor -inf a) (#s(alt (*.f64 (*.f64 c c) a) (patch (*.f64 (*.f64 c c) a) #<representation binary64>) () ())) ())
#s(alt (/ 2 (* a c)) (taylor -inf a) (#s(alt (/.f64 #s(literal 2 binary64) (*.f64 a c)) (patch (/.f64 #s(literal 2 binary64) (*.f64 a c)) #<representation binary64>) () ())) ())
#s(alt (/ 2 (* a c)) (taylor -inf a) (#s(alt (/.f64 #s(literal 2 binary64) (*.f64 a c)) (patch (/.f64 #s(literal 2 binary64) (*.f64 a c)) #<representation binary64>) () ())) ())
#s(alt (/ 2 (* a c)) (taylor -inf a) (#s(alt (/.f64 #s(literal 2 binary64) (*.f64 a c)) (patch (/.f64 #s(literal 2 binary64) (*.f64 a c)) #<representation binary64>) () ())) ())
#s(alt (/ 2 (* a c)) (taylor -inf a) (#s(alt (/.f64 #s(literal 2 binary64) (*.f64 a c)) (patch (/.f64 #s(literal 2 binary64) (*.f64 a c)) #<representation binary64>) () ())) ())
#s(alt (/ 3/2 (pow b 2)) (taylor -inf a) (#s(alt (-.f64 (/.f64 #s(literal 3/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2 binary64) (*.f64 a c))) (patch (-.f64 (/.f64 #s(literal 3/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2 binary64) (*.f64 a c))) #<representation binary64>) () ())) ())
#s(alt (- (* 3/2 (/ 1 (pow b 2))) (* 2 (/ 1 (* a c)))) (taylor -inf a) (#s(alt (-.f64 (/.f64 #s(literal 3/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2 binary64) (*.f64 a c))) (patch (-.f64 (/.f64 #s(literal 3/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2 binary64) (*.f64 a c))) #<representation binary64>) () ())) ())
#s(alt (- (* 3/2 (/ 1 (pow b 2))) (* 2 (/ 1 (* a c)))) (taylor -inf a) (#s(alt (-.f64 (/.f64 #s(literal 3/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2 binary64) (*.f64 a c))) (patch (-.f64 (/.f64 #s(literal 3/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2 binary64) (*.f64 a c))) #<representation binary64>) () ())) ())
#s(alt (- (* 3/2 (/ 1 (pow b 2))) (* 2 (/ 1 (* a c)))) (taylor -inf a) (#s(alt (-.f64 (/.f64 #s(literal 3/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2 binary64) (*.f64 a c))) (patch (-.f64 (/.f64 #s(literal 3/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2 binary64) (*.f64 a c))) #<representation binary64>) () ())) ())
#s(alt (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (taylor -inf a) (#s(alt (/.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (*.f64 b b))) #s(literal -9/16 binary64) (*.f64 a #s(literal -3/8 binary64))) (*.f64 (*.f64 b b) b)) (patch (/.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (*.f64 b b))) #s(literal -9/16 binary64) (*.f64 a #s(literal -3/8 binary64))) (*.f64 (*.f64 b b) b)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (- (* -9/16 (/ c (pow b 5))) (* 3/8 (/ 1 (* a (pow b 3)))))) (taylor -inf a) (#s(alt (/.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (*.f64 b b))) #s(literal -9/16 binary64) (*.f64 a #s(literal -3/8 binary64))) (*.f64 (*.f64 b b) b)) (patch (/.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (*.f64 b b))) #s(literal -9/16 binary64) (*.f64 a #s(literal -3/8 binary64))) (*.f64 (*.f64 b b) b)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (- (* -9/16 (/ c (pow b 5))) (* 3/8 (/ 1 (* a (pow b 3)))))) (taylor -inf a) (#s(alt (/.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (*.f64 b b))) #s(literal -9/16 binary64) (*.f64 a #s(literal -3/8 binary64))) (*.f64 (*.f64 b b) b)) (patch (/.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (*.f64 b b))) #s(literal -9/16 binary64) (*.f64 a #s(literal -3/8 binary64))) (*.f64 (*.f64 b b) b)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (- (* -9/16 (/ c (pow b 5))) (* 3/8 (/ 1 (* a (pow b 3)))))) (taylor -inf a) (#s(alt (/.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (*.f64 b b))) #s(literal -9/16 binary64) (*.f64 a #s(literal -3/8 binary64))) (*.f64 (*.f64 b b) b)) (patch (/.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (*.f64 b b))) #s(literal -9/16 binary64) (*.f64 a #s(literal -3/8 binary64))) (*.f64 (*.f64 b b) b)) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow a 2) c) (pow b 2)) (taylor -inf a) (#s(alt (*.f64 (*.f64 a a) (/.f64 c (*.f64 b b))) (patch (*.f64 (*.f64 a a) (/.f64 c (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow a 2) c) (pow b 2)) (taylor -inf a) (#s(alt (*.f64 (*.f64 a a) (/.f64 c (*.f64 b b))) (patch (*.f64 (*.f64 a a) (/.f64 c (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow a 2) c) (pow b 2)) (taylor -inf a) (#s(alt (*.f64 (*.f64 a a) (/.f64 c (*.f64 b b))) (patch (*.f64 (*.f64 a a) (/.f64 c (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow a 2) c) (pow b 2)) (taylor -inf a) (#s(alt (*.f64 (*.f64 a a) (/.f64 c (*.f64 b b))) (patch (*.f64 (*.f64 a a) (/.f64 c (*.f64 b b))) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
7.0ms
c
@-inf
((/ (/ 1 a) (* (/ -1 (* (- (- (* b b) (* b b)) (* (* -3 c) a)) (/ 1 (+ (sqrt (+ (* (* -3 c) a) (* b b))) b)))) 3)) (- (* b b) (* b b)) (/ -1 (* (- (- (* b b) (* b b)) (* (* -3 c) a)) (/ 1 (+ (sqrt (+ (* (* -3 c) a) (* b b))) b)))) (* (/ -1 (* (- (- (* b b) (* b b)) (* (* -3 c) a)) (/ 1 (+ (sqrt (+ (* (* -3 c) a) (* b b))) b)))) 3) (/ -1/2 (/ b c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ b c) (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (/ (/ 1 (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (* 3 a)) (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) (/ (* (* c c) a) (* b b)) (/ (/ 1 a) (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3)) (* (- (/ 3/2 (* b b)) (/ 2 (* a c))) b) (/ 1 a) (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (+ (* (* (* a a) (/ c (* b b))) -9/16) (* a -3/8)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) c) (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (* (- (- (* b b) (* b b)) (* (* -3 c) a)) (/ 1 (+ (sqrt (+ (* (* -3 c) a) (* b b))) b))) (* (* c c) a) (/ 2 (* a c)) (- (/ 3/2 (* b b)) (/ 2 (* a c))) (/ (+ (* (* (* a a) (/ c (* b b))) -9/16) (* a -3/8)) (* (* b b) b)) (* (* a a) (/ c (* b b))))
6.0ms
a
@0
((/ (/ 1 a) (* (/ -1 (* (- (- (* b b) (* b b)) (* (* -3 c) a)) (/ 1 (+ (sqrt (+ (* (* -3 c) a) (* b b))) b)))) 3)) (- (* b b) (* b b)) (/ -1 (* (- (- (* b b) (* b b)) (* (* -3 c) a)) (/ 1 (+ (sqrt (+ (* (* -3 c) a) (* b b))) b)))) (* (/ -1 (* (- (- (* b b) (* b b)) (* (* -3 c) a)) (/ 1 (+ (sqrt (+ (* (* -3 c) a) (* b b))) b)))) 3) (/ -1/2 (/ b c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ b c) (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (/ (/ 1 (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (* 3 a)) (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) (/ (* (* c c) a) (* b b)) (/ (/ 1 a) (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3)) (* (- (/ 3/2 (* b b)) (/ 2 (* a c))) b) (/ 1 a) (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (+ (* (* (* a a) (/ c (* b b))) -9/16) (* a -3/8)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) c) (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (* (- (- (* b b) (* b b)) (* (* -3 c) a)) (/ 1 (+ (sqrt (+ (* (* -3 c) a) (* b b))) b))) (* (* c c) a) (/ 2 (* a c)) (- (/ 3/2 (* b b)) (/ 2 (* a c))) (/ (+ (* (* (* a a) (/ c (* b b))) -9/16) (* a -3/8)) (* (* b b) b)) (* (* a a) (/ c (* b b))))
6.0ms
c
@0
((/ (/ 1 a) (* (/ -1 (* (- (- (* b b) (* b b)) (* (* -3 c) a)) (/ 1 (+ (sqrt (+ (* (* -3 c) a) (* b b))) b)))) 3)) (- (* b b) (* b b)) (/ -1 (* (- (- (* b b) (* b b)) (* (* -3 c) a)) (/ 1 (+ (sqrt (+ (* (* -3 c) a) (* b b))) b)))) (* (/ -1 (* (- (- (* b b) (* b b)) (* (* -3 c) a)) (/ 1 (+ (sqrt (+ (* (* -3 c) a) (* b b))) b)))) 3) (/ -1/2 (/ b c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ b c) (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (/ (/ 1 (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (* 3 a)) (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) (/ (* (* c c) a) (* b b)) (/ (/ 1 a) (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3)) (* (- (/ 3/2 (* b b)) (/ 2 (* a c))) b) (/ 1 a) (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (+ (* (* (* a a) (/ c (* b b))) -9/16) (* a -3/8)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) c) (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (* (- (- (* b b) (* b b)) (* (* -3 c) a)) (/ 1 (+ (sqrt (+ (* (* -3 c) a) (* b b))) b))) (* (* c c) a) (/ 2 (* a c)) (- (/ 3/2 (* b b)) (/ 2 (* a c))) (/ (+ (* (* (* a a) (/ c (* b b))) -9/16) (* a -3/8)) (* (* b b) b)) (* (* a a) (/ c (* b b))))
5.0ms
c
@inf
((/ (/ 1 a) (* (/ -1 (* (- (- (* b b) (* b b)) (* (* -3 c) a)) (/ 1 (+ (sqrt (+ (* (* -3 c) a) (* b b))) b)))) 3)) (- (* b b) (* b b)) (/ -1 (* (- (- (* b b) (* b b)) (* (* -3 c) a)) (/ 1 (+ (sqrt (+ (* (* -3 c) a) (* b b))) b)))) (* (/ -1 (* (- (- (* b b) (* b b)) (* (* -3 c) a)) (/ 1 (+ (sqrt (+ (* (* -3 c) a) (* b b))) b)))) 3) (/ -1/2 (/ b c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ b c) (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (/ (/ 1 (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (* 3 a)) (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) (/ (* (* c c) a) (* b b)) (/ (/ 1 a) (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3)) (* (- (/ 3/2 (* b b)) (/ 2 (* a c))) b) (/ 1 a) (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (+ (* (* (* a a) (/ c (* b b))) -9/16) (* a -3/8)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) c) (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (* (- (- (* b b) (* b b)) (* (* -3 c) a)) (/ 1 (+ (sqrt (+ (* (* -3 c) a) (* b b))) b))) (* (* c c) a) (/ 2 (* a c)) (- (/ 3/2 (* b b)) (/ 2 (* a c))) (/ (+ (* (* (* a a) (/ c (* b b))) -9/16) (* a -3/8)) (* (* b b) b)) (* (* a a) (/ c (* b b))))
5.0ms
b
@0
((/ (/ 1 a) (* (/ -1 (* (- (- (* b b) (* b b)) (* (* -3 c) a)) (/ 1 (+ (sqrt (+ (* (* -3 c) a) (* b b))) b)))) 3)) (- (* b b) (* b b)) (/ -1 (* (- (- (* b b) (* b b)) (* (* -3 c) a)) (/ 1 (+ (sqrt (+ (* (* -3 c) a) (* b b))) b)))) (* (/ -1 (* (- (- (* b b) (* b b)) (* (* -3 c) a)) (/ 1 (+ (sqrt (+ (* (* -3 c) a) (* b b))) b)))) 3) (/ -1/2 (/ b c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ b c) (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (/ (/ 1 (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (* 3 a)) (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) (/ (* (* c c) a) (* b b)) (/ (/ 1 a) (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3)) (* (- (/ 3/2 (* b b)) (/ 2 (* a c))) b) (/ 1 a) (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (+ (* (* (* a a) (/ c (* b b))) -9/16) (* a -3/8)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) c) (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (* (- (- (* b b) (* b b)) (* (* -3 c) a)) (/ 1 (+ (sqrt (+ (* (* -3 c) a) (* b b))) b))) (* (* c c) a) (/ 2 (* a c)) (- (/ 3/2 (* b b)) (/ 2 (* a c))) (/ (+ (* (* (* a a) (/ c (* b b))) -9/16) (* a -3/8)) (* (* b b) b)) (* (* a a) (/ c (* b b))))

simplify231.0ms (2%)

Memory
10.8MiB live, 286.6MiB allocated
Algorithm
egg-herbie
Rules
8 464×lower-*.f64
8 464×lower-*.f32
7 686×lower-fma.f64
7 686×lower-fma.f32
4 840×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0143015713
1461615339
0931014721
Stop Event
iter limit
node limit
Counts
804 → 804
Calls
Call 1
Inputs
(* -1/2 (/ c b))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* c (+ (* -27/32 (/ (pow a 3) (pow b 7))) (* -27/128 (/ (pow a 3) (pow b 7))))))))) (* 1/2 (/ 1 b))))
(* -2/3 (/ b (* a c)))
(/ (+ (* -2/3 (/ b a)) (* 1/2 (/ c b))) c)
(/ (+ (* -2/3 (/ b a)) (* c (+ (* 3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))) c)
(/ (+ (* -2/3 (/ b a)) (* c (+ (* c (+ (* 3/8 (/ a (pow b 3))) (* 9/16 (/ (* (pow a 2) c) (pow b 5))))) (* 1/2 (/ 1 b))))) c)
(* -2 (/ b (* a c)))
(/ (+ (* -2 (/ b a)) (* 3/2 (/ c b))) c)
(/ (+ (* -2 (/ b a)) (* c (+ (* 9/8 (/ (* a c) (pow b 3))) (* 3/2 (/ 1 b))))) c)
(/ (+ (* -2 (/ b a)) (* c (+ (* c (+ (* 9/8 (/ a (pow b 3))) (* 27/16 (/ (* (pow a 2) c) (pow b 5))))) (* 3/2 (/ 1 b))))) c)
(* -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)
(* 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 (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(/ (* a (pow c 2)) (pow b 2))
(/ (* a (pow c 2)) (pow b 2))
(/ (* a (pow c 2)) (pow b 2))
(/ (* a (pow c 2)) (pow b 2))
(* -1/2 (/ c b))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))
(* -2 (/ b (* a c)))
(/ (+ (* -2 (/ b a)) (* 3/2 (/ c b))) c)
(/ (+ (* -2 (/ b a)) (* 3/2 (/ c b))) c)
(/ (+ (* -2 (/ b a)) (* 3/2 (/ c b))) c)
(* -2 (/ b (* a c)))
(/ (+ (* -2 (/ b a)) (* 3/2 (/ c b))) c)
(/ (+ (* -2 (/ b a)) (* c (+ (* -1 (* c (+ (* -9/4 (/ a (pow b 3))) (* 9/8 (/ a (pow b 3)))))) (* 3/2 (/ 1 b))))) c)
(/ (+ (* -2 (/ b a)) (* c (+ (* c (- (* -1 (* c (+ (* -3/4 (/ (* a (+ (* -9/4 (/ a (pow b 3))) (* 9/8 (/ a (pow b 3))))) (pow b 2))) (+ (* -2/3 (/ (* b (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (pow a 2))) (* 27/16 (/ (pow a 2) (pow b 5))))))) (+ (* -9/4 (/ a (pow b 3))) (* 9/8 (/ a (pow b 3)))))) (* 3/2 (/ 1 b))))) c)
(* -3/8 a)
(+ (* -9/16 (/ (* (pow a 2) c) (pow b 2))) (* -3/8 a))
(+ (* -9/16 (/ (* (pow a 2) c) (pow b 2))) (* -3/8 a))
(+ (* -9/16 (/ (* (pow a 2) c) (pow b 2))) (* -3/8 a))
(* -1/2 (/ c b))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))
(* -1/2 (/ c b))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(/ -1/2 b)
(- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))
(- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))
(- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))
(* 3/2 (/ (* a c) b))
(* c (+ (* 9/8 (/ (* (pow a 2) c) (pow b 3))) (* 3/2 (/ a b))))
(* c (+ (* 3/2 (/ a b)) (* c (+ (* 9/8 (/ (pow a 2) (pow b 3))) (* 27/16 (/ (* (pow a 3) c) (pow b 5)))))))
(* c (+ (* 3/2 (/ a b)) (* c (+ (* 9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -3 (* c (+ (* -27/32 (/ (pow a 4) (pow b 7))) (* -27/128 (/ (pow a 4) (pow b 7)))))) (* 27/16 (/ (pow a 3) (pow b 5)))))))))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(/ 2 (* a c))
(/ 2 (* a c))
(/ 2 (* a c))
(/ 2 (* a c))
(/ -2 (* a c))
(/ (- (* 3/2 (/ c (pow b 2))) (* 2 (/ 1 a))) c)
(/ (- (* 3/2 (/ c (pow b 2))) (* 2 (/ 1 a))) c)
(/ (- (* 3/2 (/ c (pow b 2))) (* 2 (/ 1 a))) c)
(* -3/8 (/ a (pow b 3)))
(+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))
(+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))
(+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))
(/ (* (pow a 2) c) (pow b 2))
(/ (* (pow a 2) c) (pow b 2))
(/ (* (pow a 2) c) (pow b 2))
(/ (* (pow a 2) c) (pow b 2))
(* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3))))
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (/ b (* a (pow (sqrt -3) 2))))
(- (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* -1 (/ (+ (* -1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (pow c 2)))) (* -1 (/ b (* a (pow (sqrt -3) 2)))))
(- (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3))))) (sqrt -3)))) (* 1/2 (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -3) 4))))) (pow c 3)))) (+ (* -1 (/ b (* a (pow (sqrt -3) 2)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -3) 3))))))
(* -1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))
(+ (* -1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (* -1/3 (/ b (* a c))))
(+ (* -1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (+ (* -1/3 (/ b (* a c))) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3))))))
(+ (* -1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (+ (* -1/3 (/ b (* a c))) (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))))))
(* -1 (* (sqrt (/ 1 (* a c))) (sqrt -3)))
(+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (* -1 (/ b (* a c))))
(+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (+ (* -1 (/ b (* a c))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3))))))
(+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (+ (* -1 (/ b (* a c))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))))))
(* -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)
(* -3/8 (/ (* a (pow c 2)) (pow b 2)))
(* (pow c 2) (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c))))
(* (pow c 2) (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c))))
(* (pow c 2) (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c))))
(* 1/3 (* (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)))))))
(* -3/8 (/ (* a (pow c 2)) (pow b 3)))
(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))))
(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))))
(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))))
(/ (* a (pow c 2)) (pow b 2))
(/ (* a (pow c 2)) (pow b 2))
(/ (* a (pow c 2)) (pow b 2))
(/ (* a (pow c 2)) (pow b 2))
(* 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)))))))
(/ 3/2 b)
(+ (* -2 (/ b (* a c))) (* 3/2 (/ 1 b)))
(+ (* -2 (/ b (* a c))) (* 3/2 (/ 1 b)))
(+ (* -2 (/ b (* a c))) (* 3/2 (/ 1 b)))
(* 3 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3))))
(/ (+ (* 3 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* 3 (/ b (* a (pow (sqrt -3) 2))))) c)
(/ (- (+ (* -1 (/ (+ (* -3 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 3/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3))))) (pow c 2))) (* 3 (* (sqrt (/ c a)) (/ 1 (sqrt -3))))) (* -3 (/ b (* a (pow (sqrt -3) 2))))) c)
(/ (- (+ (* -1 (/ (+ (* 3/2 (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -3) 4)))) (* (sqrt (/ c a)) (/ (* b (+ (* -3 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 3/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3)))) (pow c 3))) (* 3 (* (sqrt (/ c a)) (/ 1 (sqrt -3))))) (+ (* -3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* -3 (/ b (* a (pow (sqrt -3) 2)))) (* 3/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -3) 3))))))) c)
(* -9/16 (/ (* (pow a 2) c) (pow b 2)))
(* c (+ (* -9/16 (/ (pow a 2) (pow b 2))) (* -3/8 (/ a c))))
(* c (+ (* -9/16 (/ (pow a 2) (pow b 2))) (* -3/8 (/ a c))))
(* c (+ (* -9/16 (/ (pow a 2) (pow b 2))) (* -3/8 (/ 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)))))))
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 5)))
(* (pow c 3) (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c)))))
(* (pow c 3) (- (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c)))) (/ 1/2 (* b (pow c 2)))))
(* (pow c 3) (- (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c)))) (/ 1/2 (* b (pow c 2)))))
(* -9/16 (/ (* (pow a 2) (pow c 2)) (pow b 5)))
(* (pow c 2) (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c)))))
(* (pow c 2) (- (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c)))) (/ 1/2 (* b (pow c 2)))))
(* (pow c 2) (- (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c)))) (/ 1/2 (* b (pow c 2)))))
(* 3 (* (sqrt (* a c)) (/ 1 (sqrt -3))))
(+ (* -3 (/ b (pow (sqrt -3) 2))) (* 3 (* (sqrt (* a c)) (/ 1 (sqrt -3)))))
(+ (* -3 (/ b (pow (sqrt -3) 2))) (+ (* -3 (/ (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3))))) (pow c 2))) (* 3 (* (sqrt (* a c)) (/ 1 (sqrt -3))))))
(+ (* -3 (/ b (pow (sqrt -3) 2))) (+ (* -3 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3)))) (* -1/2 (/ (* (pow b 3) (pow c 2)) (* a (pow (sqrt -3) 4))))) (pow c 3))) (+ (* -3 (/ (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3))))) (pow c 2))) (* 3 (* (sqrt (* a c)) (/ 1 (sqrt -3)))))))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(/ 2 (* a c))
(/ 2 (* a c))
(/ 2 (* a c))
(/ 2 (* a c))
(/ 3/2 (pow b 2))
(- (* 3/2 (/ 1 (pow b 2))) (* 2 (/ 1 (* a c))))
(- (* 3/2 (/ 1 (pow b 2))) (* 2 (/ 1 (* a c))))
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(* -9/16 (/ (* (pow a 2) c) (pow b 5)))
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(* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c)))))
(* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c)))))
(/ (* (pow a 2) c) (pow b 2))
(/ (* (pow a 2) c) (pow b 2))
(/ (* (pow a 2) c) (pow b 2))
(/ (* (pow a 2) c) (pow b 2))
(* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))
(+ (* -1 (/ b (* a (pow (sqrt 3) 2)))) (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3))))
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(* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))
(+ (* -1 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))
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(/ b c)
(/ b c)
(/ b c)
(/ b c)
(* -3/8 (/ (* a (pow c 2)) (pow b 2)))
(* (pow c 2) (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c))))
(* (pow c 2) (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c))))
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(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
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(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))))
(/ (* a (pow c 2)) (pow b 2))
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(/ (* a (pow c 2)) (pow b 2))
(/ (* a (pow c 2)) (pow b 2))
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(/ 3/2 b)
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(+ (* -2 (/ b (* a c))) (* 3/2 (/ 1 b)))
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(* -1 (/ (+ (* 3 (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))) (* 3 (/ b (* a (pow (sqrt 3) 2))))) c))
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(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 3/2 (/ (* (pow b 3) c) (* (pow a 2) (pow (sqrt 3) 4)))) (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (+ (* -3 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (+ (* -3 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) c)) (* 3 (/ (* b c) (* a (pow (sqrt 3) 2))))) c)) (* 3 (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3))))) c))
(* -9/16 (/ (* (pow a 2) c) (pow b 2)))
(* -1 (* c (+ (* 3/8 (/ a c)) (* 9/16 (/ (pow a 2) (pow b 2))))))
(* -1 (* c (+ (* 3/8 (/ a c)) (* 9/16 (/ (pow a 2) (pow b 2))))))
(* -1 (* c (+ (* 3/8 (/ a c)) (* 9/16 (/ (pow a 2) (pow b 2))))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c))))))
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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)))))))
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 5)))
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(* -1 (* (pow c 3) (+ (* -1 (/ (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))) c)) (* 9/16 (/ (pow a 2) (pow b 5))))))
(* -1 (* (pow c 3) (+ (* -1 (/ (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))) c)) (* 9/16 (/ (pow a 2) (pow b 5))))))
(* -9/16 (/ (* (pow a 2) (pow c 2)) (pow b 5)))
(* (pow c 2) (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c)))))
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(* -3 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3))))
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(* a (pow c 2))
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(/ 2 (* a c))
(/ 2 (* a c))
(/ 2 (* a c))
(/ 2 (* a c))
(/ 3/2 (pow b 2))
(- (* 3/2 (/ 1 (pow b 2))) (* 2 (/ 1 (* a c))))
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(- (* 3/2 (/ 1 (pow b 2))) (* 2 (/ 1 (* a c))))
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(* -1 (* c (+ (* 3/8 (/ a (* (pow b 3) c))) (* 9/16 (/ (pow a 2) (pow b 5))))))
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(/ (* (pow a 2) c) (pow b 2))
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(/ (* (pow a 2) c) (pow b 2))
(* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3))))
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0
0
0
0
(* -1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))
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(* -1 (* (sqrt (/ 1 (* a c))) (sqrt -3)))
(+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (* -1 (/ b (* a c))))
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(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
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(/ b c)
(/ b c)
(/ b c)
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(/ (+ 3/2 (* -2 (/ (pow b 2) (* a c)))) b)
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(* -9/16 (/ (* (pow a 2) c) (pow b 2)))
(/ (+ (* -9/16 (* (pow a 2) c)) (* -3/8 (* a (pow b 2)))) (pow b 2))
(/ (+ (* -9/16 (* (pow a 2) c)) (* -3/8 (* a (pow b 2)))) (pow b 2))
(/ (+ (* -9/16 (* (pow a 2) c)) (* -3/8 (* a (pow b 2)))) (pow b 2))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a)))))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a)))))
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 5)))
(/ (+ (* -9/16 (* (pow a 2) (pow c 3))) (* -3/8 (* a (* (pow b 2) (pow c 2))))) (pow b 5))
(/ (+ (* -9/16 (* (pow a 2) (pow c 3))) (* (pow b 2) (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))))) (pow b 5))
(/ (+ (* -9/16 (* (pow a 2) (pow c 3))) (* (pow b 2) (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))))) (pow b 5))
(* -9/16 (/ (* (pow a 2) (pow c 2)) (pow b 5)))
(/ (+ (* -9/16 (* (pow a 2) (pow c 2))) (* -3/8 (* a (* (pow b 2) c)))) (pow b 5))
(/ (+ (* -9/16 (* (pow a 2) (pow c 2))) (* (pow b 2) (+ (* -1/2 (pow b 2)) (* -3/8 (* a c))))) (pow b 5))
(/ (+ (* -9/16 (* (pow a 2) (pow c 2))) (* (pow b 2) (+ (* -1/2 (pow b 2)) (* -3/8 (* a c))))) (pow b 5))
(* 3 (* (sqrt (* a c)) (/ 1 (sqrt -3))))
(+ (* -3 (/ b (pow (sqrt -3) 2))) (* 3 (* (sqrt (* a c)) (/ 1 (sqrt -3)))))
(+ (* 3 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (* b (- (* -3 (* b (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -3) 3))))))) (* 3 (/ 1 (pow (sqrt -3) 2))))))
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(/ 3/2 (pow b 2))
(/ (+ 3/2 (* -2 (/ (pow b 2) (* a c)))) (pow b 2))
(/ (+ 3/2 (* -2 (/ (pow b 2) (* a c)))) (pow b 2))
(/ (+ 3/2 (* -2 (/ (pow b 2) (* a c)))) (pow b 2))
(* -9/16 (/ (* (pow a 2) c) (pow b 5)))
(/ (+ (* -9/16 (* (pow a 2) c)) (* -3/8 (* a (pow b 2)))) (pow b 5))
(/ (+ (* -9/16 (* (pow a 2) c)) (* -3/8 (* a (pow b 2)))) (pow b 5))
(/ (+ (* -9/16 (* (pow a 2) c)) (* -3/8 (* a (pow b 2)))) (pow b 5))
(/ (* (pow a 2) c) (pow b 2))
(/ (* (pow a 2) c) (pow b 2))
(/ (* (pow a 2) c) (pow b 2))
(/ (* (pow a 2) c) (pow b 2))
(* -1/2 (/ c b))
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -27/32 (/ (* (pow a 3) (pow c 4)) (pow b 6))) (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -27/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))))))) b)
0
0
0
0
(* -2/3 (/ b (* a c)))
(* b (- (* 1/2 (/ 1 (pow b 2))) (* 2/3 (/ 1 (* a c)))))
(* b (- (+ (* 3/8 (/ (* a c) (pow b 4))) (* 1/2 (/ 1 (pow b 2)))) (* 2/3 (/ 1 (* a c)))))
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(* b (- (+ (* 9/8 (/ (* a c) (pow b 4))) (* 3/2 (/ 1 (pow b 2)))) (* 2 (/ 1 (* a c)))))
(* b (- (+ (* 9/8 (/ (* a c) (pow b 4))) (+ (* 27/16 (/ (* (pow a 2) (pow c 2)) (pow b 6))) (* 3/2 (/ 1 (pow b 2))))) (* 2 (/ 1 (* a c)))))
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(* -1/2 (/ c b))
(* -1/2 (/ c b))
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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)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(* -1/2 c)
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))
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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)
(* -1/2 (/ c b))
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)
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(/ (* a (pow c 2)) (pow b 2))
(/ (* a (pow c 2)) (pow b 2))
(/ (* a (pow c 2)) (pow b 2))
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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)
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(* b (- (* 3/2 (/ 1 (pow b 2))) (* 2 (/ 1 (* a c)))))
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(* -3/8 a)
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(+ (* -9/16 (/ (* (pow a 2) c) (pow b 2))) (* -3/8 a))
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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)
(* -1/2 (/ c b))
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ -1/2 b)
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(/ (- (+ (* -9/16 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -3/8 (/ (* a c) (pow b 2)))) 1/2) b)
(/ (- (+ (* -9/16 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -3/8 (/ (* a c) (pow b 2)))) 1/2) b)
(* 3/2 (/ (* a c) b))
(/ (+ (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 3/2 (* a c))) b)
(/ (+ (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (+ (* 3/2 (* a c)) (* 27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))))) b)
(/ (+ (* -3 (/ (+ (* -27/32 (* (pow a 4) (pow c 4))) (* -27/128 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (+ (* 3/2 (* a c)) (* 27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4)))))) b)
(/ -2 (* a c))
(- (* 3/2 (/ 1 (pow b 2))) (* 2 (/ 1 (* a c))))
(- (* 3/2 (/ 1 (pow b 2))) (* 2 (/ 1 (* a c))))
(- (* 3/2 (/ 1 (pow b 2))) (* 2 (/ 1 (* a c))))
(* -3/8 (/ a (pow b 3)))
(/ (+ (* -9/16 (/ (* (pow a 2) c) (pow b 2))) (* -3/8 a)) (pow b 3))
(/ (+ (* -9/16 (/ (* (pow a 2) c) (pow b 2))) (* -3/8 a)) (pow b 3))
(/ (+ (* -9/16 (/ (* (pow a 2) c) (pow b 2))) (* -3/8 a)) (pow b 3))
(/ (* (pow a 2) c) (pow b 2))
(/ (* (pow a 2) c) (pow b 2))
(/ (* (pow a 2) c) (pow b 2))
(/ (* (pow a 2) c) (pow b 2))
(* -2/3 (/ b a))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))
(* -1 (* b (+ (* -3/4 (/ (* a (pow c 2)) (pow b 4))) (+ (* -1/2 (/ c (pow b 2))) (+ (* 3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))))
(* -1 (* b (+ (* -3/4 (/ (* a (* c (+ (* -3/4 (* a (pow c 2))) (* 3/8 (* a (pow c 2)))))) (pow b 6))) (+ (* -3/4 (/ (* a (pow c 2)) (pow b 4))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -2/9 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* (pow a 2) (* (pow b 6) c)))) (+ (* 3/8 (/ (* a (pow c 2)) (pow b 4))) (+ (* 9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (* 2/3 (/ 1 a))))))))))
0
0
0
0
(/ -1/2 b)
(* -1 (/ (+ 1/2 (* 3/8 (/ (* a c) (pow b 2)))) b))
(* -1 (/ (+ 1/2 (+ (* 3/8 (/ (* a c) (pow b 2))) (* 9/16 (/ (* (pow a 2) (pow c 2)) (pow b 4))))) b))
(* -1 (/ (+ 1/2 (+ (* 1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (* (pow b 6) c)))) (+ (* 3/8 (/ (* a c) (pow b 2))) (* 9/16 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) b))
(/ -3/2 b)
(* -1 (/ (+ 3/2 (* 9/8 (/ (* a c) (pow b 2)))) b))
(* -1 (/ (+ 3/2 (+ (* 9/8 (/ (* a c) (pow b 2))) (* 27/16 (/ (* (pow a 2) (pow c 2)) (pow b 4))))) b))
(* -1 (/ (+ 3/2 (+ (* 1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (* (pow b 6) c)))) (+ (* 9/8 (/ (* a c) (pow b 2))) (* 27/16 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
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(* -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)))))))
(/ b c)
(/ b c)
(/ b c)
(/ b c)
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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)))))))
(* -2 (/ b (* a c)))
(* -1 (* b (- (* 2 (/ 1 (* a c))) (* 3/2 (/ 1 (pow b 2))))))
(* -1 (* b (- (* 2 (/ 1 (* a c))) (* 3/2 (/ 1 (pow b 2))))))
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(* -3/8 a)
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(* -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)))))))
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(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (+ (* 1/2 c) (* 9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))))) b))
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (+ (* 1/2 c) (* 9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))))) b))
(/ -1/2 b)
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(* -1 (/ (+ 1/2 (+ (* 3/8 (/ (* a c) (pow b 2))) (* 9/16 (/ (* (pow a 2) (pow c 2)) (pow b 4))))) b))
(* -1 (/ (+ 1/2 (+ (* 3/8 (/ (* a c) (pow b 2))) (* 9/16 (/ (* (pow a 2) (pow c 2)) (pow b 4))))) b))
(* 2 b)
(* -1 (* b (- (* 3/2 (/ (* a c) (pow b 2))) 2)))
(* -1 (* b (- (+ (* -3 (/ (+ (* -3/4 (* (pow a 2) (pow c 2))) (* 3/8 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 3/2 (/ (* a c) (pow b 2)))) 2)))
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(/ -2 (* a c))
(- (* 3/2 (/ 1 (pow b 2))) (* 2 (/ 1 (* a c))))
(- (* 3/2 (/ 1 (pow b 2))) (* 2 (/ 1 (* a c))))
(- (* 3/2 (/ 1 (pow b 2))) (* 2 (/ 1 (* a c))))
(* -3/8 (/ a (pow b 3)))
(* -1 (/ (+ (* 3/8 a) (* 9/16 (/ (* (pow a 2) c) (pow b 2)))) (pow b 3)))
(* -1 (/ (+ (* 3/8 a) (* 9/16 (/ (* (pow a 2) c) (pow b 2)))) (pow b 3)))
(* -1 (/ (+ (* 3/8 a) (* 9/16 (/ (* (pow a 2) c) (pow b 2)))) (pow b 3)))
(/ (* (pow a 2) c) (pow b 2))
(/ (* (pow a 2) c) (pow b 2))
(/ (* (pow a 2) c) (pow b 2))
(/ (* (pow a 2) 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))))))
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(* -2/3 (/ b (* a c)))
(/ (+ (* -2/3 (/ b c)) (* 1/2 (/ a b))) a)
(/ (+ (* -2/3 (/ b c)) (* a (+ (* 3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))) a)
(/ (+ (* -2/3 (/ b c)) (* a (+ (* a (+ (* 3/8 (/ c (pow b 3))) (* 9/16 (/ (* a (pow c 2)) (pow b 5))))) (* 1/2 (/ 1 b))))) a)
(* -2 (/ b (* a c)))
(/ (+ (* -2 (/ b c)) (* 3/2 (/ a b))) a)
(/ (+ (* -2 (/ b c)) (* a (+ (* 9/8 (/ (* a c) (pow b 3))) (* 3/2 (/ 1 b))))) a)
(/ (+ (* -2 (/ b c)) (* a (+ (* a (+ (* 9/8 (/ c (pow b 3))) (* 27/16 (/ (* a (pow c 2)) (pow b 5))))) (* 3/2 (/ 1 b))))) a)
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(* -1/2 c)
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(+ (* -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))
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(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))
(/ (* a (pow c 2)) (pow b 2))
(/ (* a (pow c 2)) (pow b 2))
(/ (* a (pow c 2)) (pow b 2))
(/ (* a (pow c 2)) (pow b 2))
(* -1/2 (/ c b))
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))
(* -2 (/ b (* a c)))
(/ (+ (* -2 (/ b c)) (* 3/2 (/ a b))) a)
(/ (+ (* -2 (/ b c)) (* 3/2 (/ a b))) a)
(/ (+ (* -2 (/ b c)) (* 3/2 (/ a b))) a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(* -2 (/ b (* a c)))
(/ (+ (* -2 (/ b c)) (* 3/2 (/ a b))) a)
(/ (+ (* -2 (/ b c)) (* a (+ (* -1 (* a (+ (* -9/4 (/ c (pow b 3))) (* 9/8 (/ c (pow b 3)))))) (* 3/2 (/ 1 b))))) a)
(/ (+ (* -2 (/ b c)) (* a (+ (* a (- (* -1 (* a (+ (* -3/4 (/ (* c (+ (* -9/4 (/ c (pow b 3))) (* 9/8 (/ c (pow b 3))))) (pow b 2))) (+ (* -2/3 (/ (* b (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) (pow c 2))) (* 27/16 (/ (pow c 2) (pow b 5))))))) (+ (* -9/4 (/ c (pow b 3))) (* 9/8 (/ c (pow b 3)))))) (* 3/2 (/ 1 b))))) a)
(* -3/8 a)
(* a (- (* -9/16 (/ (* a c) (pow b 2))) 3/8))
(* a (- (* -9/16 (/ (* a c) (pow b 2))) 3/8))
(* a (- (* -9/16 (/ (* a c) (pow b 2))) 3/8))
(* -1/2 (/ c b))
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))
(* -1/2 (/ c b))
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))
(/ -1/2 b)
(- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))
(- (* a (+ (* -9/16 (/ (* a (pow c 2)) (pow b 5))) (* -3/8 (/ c (pow b 3))))) (* 1/2 (/ 1 b)))
(- (* a (+ (* -9/16 (/ (* a (pow c 2)) (pow b 5))) (* -3/8 (/ c (pow b 3))))) (* 1/2 (/ 1 b)))
(* 3/2 (/ (* a c) b))
(* a (+ (* 9/8 (/ (* a (pow c 2)) (pow b 3))) (* 3/2 (/ c b))))
(* a (+ (* 3/2 (/ c b)) (* a (+ (* 9/8 (/ (pow c 2) (pow b 3))) (* 27/16 (/ (* a (pow c 3)) (pow b 5)))))))
(* a (+ (* 3/2 (/ c b)) (* a (+ (* 9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -3 (* a (+ (* -27/32 (/ (pow c 4) (pow b 7))) (* -27/128 (/ (pow c 4) (pow b 7)))))) (* 27/16 (/ (pow c 3) (pow b 5)))))))))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(/ 2 (* a c))
(/ 2 (* a c))
(/ 2 (* a c))
(/ 2 (* a c))
(/ -2 (* a c))
(/ (- (* 3/2 (/ a (pow b 2))) (* 2 (/ 1 c))) a)
(/ (- (* 3/2 (/ a (pow b 2))) (* 2 (/ 1 c))) a)
(/ (- (* 3/2 (/ a (pow b 2))) (* 2 (/ 1 c))) a)
(* -3/8 (/ a (pow b 3)))
(* a (- (* -9/16 (/ (* a c) (pow b 5))) (* 3/8 (/ 1 (pow b 3)))))
(* a (- (* -9/16 (/ (* a c) (pow b 5))) (* 3/8 (/ 1 (pow b 3)))))
(* a (- (* -9/16 (/ (* a c) (pow b 5))) (* 3/8 (/ 1 (pow b 3)))))
(/ (* (pow a 2) c) (pow b 2))
(/ (* (pow a 2) c) (pow b 2))
(/ (* (pow a 2) c) (pow b 2))
(/ (* (pow a 2) c) (pow b 2))
(* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3))))
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (/ b (pow (sqrt -3) 2))) a)
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (/ b (pow (sqrt -3) 2))))) a)
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3)))) (+ (* -1/2 (/ (pow b 3) (* a (* c (pow (sqrt -3) 4))))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (/ b (pow (sqrt -3) 2))))))) a)
(* -1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))
(+ (* -1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (* -1/3 (/ b (* a c))))
(+ (* -1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (+ (* -1/3 (/ b (* a c))) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3))))))
(+ (* -1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (+ (* -1/3 (/ b (* a c))) (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))))))
(* -1 (* (sqrt (/ 1 (* a c))) (sqrt -3)))
(+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (* -1 (/ b (* a c))))
(+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (+ (* -1 (/ b (* a c))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3))))))
(+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (+ (* -1 (/ b (* a c))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))
(* -3/8 (/ (* a (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))))))
(* -3/8 (/ (* a (pow c 2)) (pow b 3)))
(* a (+ (* -1/2 (/ c (* a b))) (* -3/8 (/ (pow c 2) (pow b 3)))))
(* a (+ (* -1/2 (/ c (* a b))) (* -3/8 (/ (pow c 2) (pow b 3)))))
(* a (+ (* -1/2 (/ c (* a b))) (* -3/8 (/ (pow c 2) (pow b 3)))))
(/ (* a (pow c 2)) (pow b 2))
(/ (* a (pow c 2)) (pow b 2))
(/ (* a (pow c 2)) (pow b 2))
(/ (* a (pow c 2)) (pow b 2))
(* 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))))))
(/ 3/2 b)
(+ (* -2 (/ b (* a c))) (* 3/2 (/ 1 b)))
(+ (* -2 (/ b (* a c))) (* 3/2 (/ 1 b)))
(+ (* -2 (/ b (* a c))) (* 3/2 (/ 1 b)))
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(* 3 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3))))
(/ (+ (* 3 (* (sqrt (/ a c)) (/ 1 (sqrt -3)))) (* 3 (/ b (* c (pow (sqrt -3) 2))))) a)
(/ (- (+ (* -1 (/ (+ (* -3 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 3/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3))))) (pow a 2))) (* 3 (* (sqrt (/ a c)) (/ 1 (sqrt -3))))) (* -3 (/ b (* c (pow (sqrt -3) 2))))) a)
(/ (- (+ (* -1 (/ (+ (* 3/2 (/ (* (pow a 2) (pow b 3)) (* (pow c 2) (pow (sqrt -3) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -3 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 3/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3)))) (pow a 3))) (* 3 (* (sqrt (/ a c)) (/ 1 (sqrt -3))))) (+ (* -3 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* -3 (/ b (* c (pow (sqrt -3) 2)))) (* 3/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3))))))) a)
(* -9/16 (/ (* (pow a 2) c) (pow b 2)))
(* (pow a 2) (- (* -9/16 (/ c (pow b 2))) (* 3/8 (/ 1 a))))
(* (pow a 2) (- (* -9/16 (/ c (pow b 2))) (* 3/8 (/ 1 a))))
(* (pow a 2) (- (* -9/16 (/ c (pow b 2))) (* 3/8 (/ 1 a))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 5)))
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -3/8 (/ (pow c 2) (* a (pow b 3))))))
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 5))) (+ (* -1/2 (/ c (* (pow a 2) b))) (* -3/8 (/ (pow c 2) (* a (pow b 3)))))))
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 5))) (+ (* -1/2 (/ c (* (pow a 2) b))) (* -3/8 (/ (pow c 2) (* a (pow b 3)))))))
(* -9/16 (/ (* (pow a 2) (pow c 2)) (pow b 5)))
(* (pow a 2) (+ (* -9/16 (/ (pow c 2) (pow b 5))) (* -3/8 (/ c (* a (pow b 3))))))
(* (pow a 2) (- (+ (* -9/16 (/ (pow c 2) (pow b 5))) (* -3/8 (/ c (* a (pow b 3))))) (/ 1/2 (* (pow a 2) b))))
(* (pow a 2) (- (+ (* -9/16 (/ (pow c 2) (pow b 5))) (* -3/8 (/ c (* a (pow b 3))))) (/ 1/2 (* (pow a 2) b))))
(* 3 (* (sqrt (* a c)) (/ 1 (sqrt -3))))
(+ (* -3 (/ b (pow (sqrt -3) 2))) (* 3 (* (sqrt (* a c)) (/ 1 (sqrt -3)))))
(+ (* -3 (/ b (pow (sqrt -3) 2))) (+ (* -3 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3))))) (pow a 2))) (* 3 (* (sqrt (* a c)) (/ 1 (sqrt -3))))))
(+ (* -3 (/ b (pow (sqrt -3) 2))) (+ (* -3 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3)))) (* -1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt -3) 4))))) (pow a 3))) (+ (* -3 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3))))) (pow a 2))) (* 3 (* (sqrt (* a c)) (/ 1 (sqrt -3)))))))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(/ 2 (* a c))
(/ 2 (* a c))
(/ 2 (* a c))
(/ 2 (* a c))
(/ 3/2 (pow b 2))
(- (* 3/2 (/ 1 (pow b 2))) (* 2 (/ 1 (* a c))))
(- (* 3/2 (/ 1 (pow b 2))) (* 2 (/ 1 (* a c))))
(- (* 3/2 (/ 1 (pow b 2))) (* 2 (/ 1 (* a c))))
(* -9/16 (/ (* (pow a 2) c) (pow b 5)))
(* (pow a 2) (- (* -9/16 (/ c (pow b 5))) (* 3/8 (/ 1 (* a (pow b 3))))))
(* (pow a 2) (- (* -9/16 (/ c (pow b 5))) (* 3/8 (/ 1 (* a (pow b 3))))))
(* (pow a 2) (- (* -9/16 (/ c (pow b 5))) (* 3/8 (/ 1 (* a (pow b 3))))))
(/ (* (pow a 2) c) (pow b 2))
(/ (* (pow a 2) c) (pow b 2))
(/ (* (pow a 2) c) (pow b 2))
(/ (* (pow a 2) c) (pow b 2))
(* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (/ b (pow (sqrt 3) 2))) a))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -1 (/ (* a b) (pow (sqrt 3) 2))) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) a))) a))) a))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -1 (/ (* a b) (pow (sqrt 3) 2))) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (* -1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt 3) 4))))) a)) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) a))) a))) a))
(* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))
(+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))
(+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 (/ b c))) a)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* 1/3 (/ b c))) a)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))
(* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))
(+ (* -1 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))
(+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (/ b c)) a)) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (/ b c)) a)) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(* -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)))))
(* -3/8 (/ (* a (pow c 2)) (pow b 3)))
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b))))))
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b))))))
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b))))))
(/ (* a (pow c 2)) (pow b 2))
(/ (* a (pow c 2)) (pow b 2))
(/ (* a (pow c 2)) (pow b 2))
(/ (* a (pow c 2)) (pow b 2))
(* -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)))))
(/ 3/2 b)
(+ (* -2 (/ b (* a c))) (* 3/2 (/ 1 b)))
(+ (* -2 (/ b (* a c))) (* 3/2 (/ 1 b)))
(+ (* -2 (/ b (* a c))) (* 3/2 (/ 1 b)))
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(* -3 (* (sqrt (/ 1 (* a c))) (/ (sqrt -1) (sqrt 3))))
(* -1 (/ (+ (* 3 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3)))) (* 3 (/ b (* c (pow (sqrt 3) 2))))) a))
(* -1 (/ (+ (* -1 (/ (- (+ (* -3 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3/2 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) (* 3 (/ (* a b) (* c (pow (sqrt 3) 2))))) a)) (* 3 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3))))) a))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 3/2 (/ (* a (pow b 3)) (* (pow c 2) (pow (sqrt 3) 4)))) (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (+ (* -3 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (+ (* -3 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) a)) (* 3 (/ (* a b) (* c (pow (sqrt 3) 2))))) a)) (* 3 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3))))) a))
(* -9/16 (/ (* (pow a 2) c) (pow b 2)))
(* (pow a 2) (- (* -9/16 (/ c (pow b 2))) (* 3/8 (/ 1 a))))
(* (pow a 2) (- (* -9/16 (/ c (pow b 2))) (* 3/8 (/ 1 a))))
(* (pow a 2) (- (* -9/16 (/ c (pow b 2))) (* 3/8 (/ 1 a))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 5)))
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -3/8 (/ (pow c 2) (* a (pow b 3))))))
(* (pow a 2) (+ (* -1 (/ (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))) a)) (* -9/16 (/ (pow c 3) (pow b 5)))))
(* (pow a 2) (+ (* -1 (/ (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))) a)) (* -9/16 (/ (pow c 3) (pow b 5)))))
(* -9/16 (/ (* (pow a 2) (pow c 2)) (pow b 5)))
(* (pow a 2) (+ (* -9/16 (/ (pow c 2) (pow b 5))) (* -3/8 (/ c (* a (pow b 3))))))
(* (pow a 2) (+ (* -1 (/ (+ (* 3/8 (/ c (pow b 3))) (* 1/2 (/ 1 (* a b)))) a)) (* -9/16 (/ (pow c 2) (pow b 5)))))
(* (pow a 2) (+ (* -1 (/ (+ (* 3/8 (/ c (pow b 3))) (* 1/2 (/ 1 (* a b)))) a)) (* -9/16 (/ (pow c 2) (pow b 5)))))
(* -3 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3))))
(+ (* -3 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (* 3 (/ b (pow (sqrt 3) 2))))
(+ (* -3 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -3 (/ (* a b) (pow (sqrt 3) 2))) (* -3 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) a))) a)))
(+ (* -3 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -3 (/ (* a b) (pow (sqrt 3) 2))) (* -1 (/ (+ (* -3 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (* -1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt 3) 4))))) a)) (* 3 (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) a))) a)))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(/ 2 (* a c))
(/ 2 (* a c))
(/ 2 (* a c))
(/ 2 (* a c))
(/ 3/2 (pow b 2))
(- (* 3/2 (/ 1 (pow b 2))) (* 2 (/ 1 (* a c))))
(- (* 3/2 (/ 1 (pow b 2))) (* 2 (/ 1 (* a c))))
(- (* 3/2 (/ 1 (pow b 2))) (* 2 (/ 1 (* a c))))
(* -9/16 (/ (* (pow a 2) c) (pow b 5)))
(* (pow a 2) (- (* -9/16 (/ c (pow b 5))) (* 3/8 (/ 1 (* a (pow b 3))))))
(* (pow a 2) (- (* -9/16 (/ c (pow b 5))) (* 3/8 (/ 1 (* a (pow b 3))))))
(* (pow a 2) (- (* -9/16 (/ c (pow b 5))) (* 3/8 (/ 1 (* a (pow b 3))))))
(/ (* (pow a 2) c) (pow b 2))
(/ (* (pow a 2) c) (pow b 2))
(/ (* (pow a 2) c) (pow b 2))
(/ (* (pow a 2) c) (pow b 2))
Outputs
(* -1/2 (/ c b))
(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(*.f64 (fma.f64 (/.f64 (*.f64 a c) (*.f64 (*.f64 b b) b)) #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 (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 #s(literal -1/2 binary64) b)) c)
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* c (+ (* -27/32 (/ (pow a 3) (pow b 7))) (* -27/128 (/ (pow a 3) (pow b 7))))))))) (* 1/2 (/ 1 b))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 a a) a) (pow.f64 b #s(literal 7 binary64))) #s(literal -135/128 binary64)) c (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)
(* -2/3 (/ b (* a c)))
(*.f64 (/.f64 b (*.f64 a c)) #s(literal -2/3 binary64))
(/ (+ (* -2/3 (/ b a)) (* 1/2 (/ c b))) c)
(/.f64 (fma.f64 (/.f64 b a) #s(literal -2/3 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))) c)
(/ (+ (* -2/3 (/ b a)) (* c (+ (* 3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))) c)
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(/ (* a (pow c 2)) (pow b 2))
(/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b))
(/ (* a (pow c 2)) (pow b 2))
(/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b))
(/ (* a (pow c 2)) (pow b 2))
(/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b))
(/ (* a (pow c 2)) (pow b 2))
(/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))))
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))
(*.f64 #s(literal -1/3 binary64) (fma.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (/.f64 b a)))
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(-.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (*.f64 (*.f64 b b) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (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 b b) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))) (*.f64 (*.f64 #s(literal 1/24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) c) 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)))
(/ 3/2 b)
(/.f64 #s(literal 3/2 binary64) b)
(+ (* -2 (/ b (* a c))) (* 3/2 (/ 1 b)))
(fma.f64 #s(literal -2 binary64) (/.f64 b (*.f64 a c)) (/.f64 #s(literal 3/2 binary64) b))
(+ (* -2 (/ b (* a c))) (* 3/2 (/ 1 b)))
(fma.f64 #s(literal -2 binary64) (/.f64 b (*.f64 a c)) (/.f64 #s(literal 3/2 binary64) b))
(+ (* -2 (/ b (* a c))) (* 3/2 (/ 1 b)))
(fma.f64 #s(literal -2 binary64) (/.f64 b (*.f64 a c)) (/.f64 #s(literal 3/2 binary64) b))
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(* -3 (* (sqrt (/ 1 (* a c))) (/ (sqrt -1) (sqrt 3))))
(*.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))))
(* -1 (/ (+ (* 3 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3)))) (* 3 (/ b (* c (pow (sqrt 3) 2))))) a))
(/.f64 (*.f64 #s(literal 3 binary64) (fma.f64 (sqrt.f64 (/.f64 a c)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (/.f64 b (*.f64 #s(literal 3 binary64) c)))) (neg.f64 a))
(* -1 (/ (+ (* -1 (/ (- (+ (* -3 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3/2 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) (* 3 (/ (* a b) (* c (pow (sqrt 3) 2))))) a)) (* 3 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3))))) a))
(/.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 (/.f64 a c))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 a (*.f64 (*.f64 c c) c))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64)))) #s(literal -3/2 binary64) (neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 a b) c)))) (neg.f64 a))) (neg.f64 a))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 3/2 (/ (* a (pow b 3)) (* (pow c 2) (pow (sqrt 3) 4)))) (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (+ (* -3 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (+ (* -3 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) a)) (* 3 (/ (* a b) (* c (pow (sqrt 3) 2))))) a)) (* 3 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3))))) a))
(/.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 (/.f64 a c))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 b b) b) a) (*.f64 (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 4 binary64)) (*.f64 c c))) #s(literal 3/2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64)))) #s(literal -3/2 binary64))) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64)))) #s(literal 3/2 binary64)))) (neg.f64 a)) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 a b) c))) (neg.f64 a))) (neg.f64 a))
(* -9/16 (/ (* (pow a 2) c) (pow b 2)))
(/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -9/16 binary64)) (*.f64 b b))
(* (pow a 2) (- (* -9/16 (/ c (pow b 2))) (* 3/8 (/ 1 a))))
(*.f64 (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -9/16 binary64) (/.f64 #s(literal -3/8 binary64) a)) (*.f64 a a))
(* (pow a 2) (- (* -9/16 (/ c (pow b 2))) (* 3/8 (/ 1 a))))
(*.f64 (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -9/16 binary64) (/.f64 #s(literal -3/8 binary64) a)) (*.f64 a a))
(* (pow a 2) (- (* -9/16 (/ c (pow b 2))) (* 3/8 (/ 1 a))))
(*.f64 (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -9/16 binary64) (/.f64 #s(literal -3/8 binary64) a)) (*.f64 a a))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))))
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))
(*.f64 #s(literal -1/3 binary64) (fma.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (/.f64 b a)))
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(-.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (*.f64 (*.f64 b b) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (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 b b) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))) (*.f64 (*.f64 #s(literal 1/24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) c) a)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64))))) (neg.f64 a))) (neg.f64 a)))
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 5)))
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) c) (*.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 (*.f64 c c) (*.f64 (*.f64 (*.f64 b b) b) a)) #s(literal -3/8 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 c c) c)) (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 (*.f64 (*.f64 c c) c) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) (/.f64 (fma.f64 (/.f64 c (*.f64 a b)) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 c c)) (*.f64 (*.f64 b b) b))) (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 (*.f64 (*.f64 c c) c) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) (/.f64 (fma.f64 (/.f64 c (*.f64 a b)) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 c c)) (*.f64 (*.f64 b b) b))) (neg.f64 a))) (*.f64 a a))
(* -9/16 (/ (* (pow a 2) (pow c 2)) (pow b 5)))
(*.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64))
(* (pow a 2) (+ (* -9/16 (/ (pow c 2) (pow b 5))) (* -3/8 (/ c (* a (pow b 3))))))
(*.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) a)) #s(literal -3/8 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 c c)) (pow.f64 b #s(literal 5 binary64)))) (*.f64 a a))
(* (pow a 2) (+ (* -1 (/ (+ (* 3/8 (/ c (pow b 3))) (* 1/2 (/ 1 (* a b)))) a)) (* -9/16 (/ (pow c 2) (pow b 5)))))
(*.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) (/.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 b b) b)) #s(literal 3/8 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 a b))) (neg.f64 a))) (*.f64 a a))
(* (pow a 2) (+ (* -1 (/ (+ (* 3/8 (/ c (pow b 3))) (* 1/2 (/ 1 (* a b)))) a)) (* -9/16 (/ (pow c 2) (pow b 5)))))
(*.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) (/.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 b b) b)) #s(literal 3/8 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 a b))) (neg.f64 a))) (*.f64 a a))
(* -3 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3))))
(*.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 (*.f64 a c))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))))
(+ (* -3 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (* 3 (/ b (pow (sqrt 3) 2))))
(fma.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 (*.f64 a c))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (/.f64 b #s(literal 3 binary64)) #s(literal 3 binary64)))
(+ (* -3 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -3 (/ (* a b) (pow (sqrt 3) 2))) (* -3 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) a))) a)))
(fma.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 (*.f64 a c))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -3 binary64) (fma.f64 a (/.f64 b #s(literal 3 binary64)) (/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 (*.f64 a a) a) c)) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64)))) #s(literal -1/2 binary64)) a))) (neg.f64 a)))
(+ (* -3 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -3 (/ (* a b) (pow (sqrt 3) 2))) (* -1 (/ (+ (* -3 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (* -1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt 3) 4))))) a)) (* 3 (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) a))) a)))
(fma.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 (*.f64 a c))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (/.f64 (fma.f64 (*.f64 a (/.f64 b #s(literal 3 binary64))) #s(literal -3 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 a c))) (/.f64 (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 (*.f64 a a) a) c)) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64)))) #s(literal -1/2 binary64))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 b b) b)) (*.f64 (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 4 binary64)) c)) #s(literal -1/2 binary64))) a) #s(literal -3 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 (*.f64 a a) a) c)) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64)))) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (neg.f64 a))) (neg.f64 a)))
(* a (pow c 2))
(*.f64 (*.f64 c c) a)
(* a (pow c 2))
(*.f64 (*.f64 c c) a)
(* a (pow c 2))
(*.f64 (*.f64 c c) a)
(* a (pow c 2))
(*.f64 (*.f64 c c) a)
(/ 2 (* a c))
(/.f64 #s(literal 2 binary64) (*.f64 a c))
(/ 2 (* a c))
(/.f64 #s(literal 2 binary64) (*.f64 a c))
(/ 2 (* a c))
(/.f64 #s(literal 2 binary64) (*.f64 a c))
(/ 2 (* a c))
(/.f64 #s(literal 2 binary64) (*.f64 a c))
(/ 3/2 (pow b 2))
(/.f64 #s(literal 3/2 binary64) (*.f64 b b))
(- (* 3/2 (/ 1 (pow b 2))) (* 2 (/ 1 (* a c))))
(-.f64 (/.f64 #s(literal 3/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2 binary64) (*.f64 a c)))
(- (* 3/2 (/ 1 (pow b 2))) (* 2 (/ 1 (* a c))))
(-.f64 (/.f64 #s(literal 3/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2 binary64) (*.f64 a c)))
(- (* 3/2 (/ 1 (pow b 2))) (* 2 (/ 1 (* a c))))
(-.f64 (/.f64 #s(literal 3/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2 binary64) (*.f64 a c)))
(* -9/16 (/ (* (pow a 2) c) (pow b 5)))
(/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))
(* (pow a 2) (- (* -9/16 (/ c (pow b 5))) (* 3/8 (/ 1 (* a (pow b 3))))))
(*.f64 (fma.f64 (/.f64 c (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) (/.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 b b) b) a))) (*.f64 a a))
(* (pow a 2) (- (* -9/16 (/ c (pow b 5))) (* 3/8 (/ 1 (* a (pow b 3))))))
(*.f64 (fma.f64 (/.f64 c (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) (/.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 b b) b) a))) (*.f64 a a))
(* (pow a 2) (- (* -9/16 (/ c (pow b 5))) (* 3/8 (/ 1 (* a (pow b 3))))))
(*.f64 (fma.f64 (/.f64 c (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) (/.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 b b) b) a))) (*.f64 a a))
(/ (* (pow a 2) c) (pow b 2))
(*.f64 (*.f64 a a) (/.f64 c (*.f64 b b)))
(/ (* (pow a 2) c) (pow b 2))
(*.f64 (*.f64 a a) (/.f64 c (*.f64 b b)))
(/ (* (pow a 2) c) (pow b 2))
(*.f64 (*.f64 a a) (/.f64 c (*.f64 b b)))
(/ (* (pow a 2) c) (pow b 2))
(*.f64 (*.f64 a a) (/.f64 c (*.f64 b b)))

rewrite188.0ms (1.6%)

Memory
-66.8MiB live, 247.5MiB allocated
Rules
4 210×lower-*.f32
4 180×lower-*.f64
3 886×lower-fma.f32
3 878×lower-fma.f64
3 678×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
082540
0124478
1511438
24078438
08594431
Stop Event
iter limit
node limit
iter limit
Counts
25 → 615
Calls
Call 1
Inputs
(/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 (-.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 #s(literal -3 binary64) c) a)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))) #s(literal 3 binary64)))
(-.f64 (*.f64 b b) (*.f64 b b))
(/.f64 #s(literal -1 binary64) (*.f64 (-.f64 (-.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 #s(literal -3 binary64) c) a)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 (-.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 #s(literal -3 binary64) c) a)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))) #s(literal 3 binary64))
(/.f64 #s(literal -1/2 binary64) (/.f64 b c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c)))
(/.f64 b c)
(fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) #s(literal -3/8 binary64) (*.f64 #s(literal -1/2 binary64) c))
#s(approx (/ (/ 1 (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) #s(literal -3/8 binary64) (*.f64 #s(literal -1/2 binary64) c)) b))
(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) #s(literal -3/8 binary64) (*.f64 #s(literal -1/2 binary64) c)) b)
(/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b))
(/.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (*.f64 (-.f64 (/.f64 #s(literal 3/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2 binary64) (*.f64 a c))) b)))
(*.f64 (-.f64 (/.f64 #s(literal 3/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2 binary64) (*.f64 a c))) b)
(/.f64 #s(literal 1 binary64) a)
#s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (*.f64 (-.f64 (/.f64 #s(literal 3/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2 binary64) (*.f64 a c))) b))
(fma.f64 (*.f64 (*.f64 a a) (/.f64 c (*.f64 b b))) #s(literal -9/16 binary64) (*.f64 a #s(literal -3/8 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 #s(approx (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) (/.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (*.f64 b b))) #s(literal -9/16 binary64) (*.f64 a #s(literal -3/8 binary64))) (*.f64 (*.f64 b b) b))) c (/.f64 #s(literal -1/2 binary64) b)) c))
(*.f64 (fma.f64 #s(approx (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) (/.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (*.f64 b b))) #s(literal -9/16 binary64) (*.f64 a #s(literal -3/8 binary64))) (*.f64 (*.f64 b b) b))) c (/.f64 #s(literal -1/2 binary64) b)) c)
(fma.f64 #s(approx (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) (/.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (*.f64 b b))) #s(literal -9/16 binary64) (*.f64 a #s(literal -3/8 binary64))) (*.f64 (*.f64 b b) b))) c (/.f64 #s(literal -1/2 binary64) b))
(*.f64 (-.f64 (-.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 #s(literal -3 binary64) c) a)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
(*.f64 (*.f64 c c) a)
(/.f64 #s(literal 2 binary64) (*.f64 a c))
(-.f64 (/.f64 #s(literal 3/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2 binary64) (*.f64 a c)))
(/.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (*.f64 b b))) #s(literal -9/16 binary64) (*.f64 a #s(literal -3/8 binary64))) (*.f64 (*.f64 b b) b))
(*.f64 (*.f64 a a) (/.f64 c (*.f64 b b)))
Outputs
(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal 3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) a))
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 3 binary64) a) (*.f64 (*.f64 #s(literal 3 binary64) c) a)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))))))
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 3 binary64) a) (fma.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)) (*.f64 (*.f64 b b) b))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))))))
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 3 binary64) a) #s(literal -1 binary64)) #s(literal -1 binary64)) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))))
(*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) #s(literal -1 binary64)) #s(literal -1 binary64)) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))))
(*.f64 (pow.f64 (/.f64 a #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -3 binary64)) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))))
(*.f64 #s(literal -1/3 binary64) (pow.f64 (/.f64 a (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))))) #s(literal -1 binary64)))
(*.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) a))
(*.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)) #s(literal -1 binary64)))
(*.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) a))
(*.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)))
(*.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)) (/.f64 #s(literal 1 binary64) a))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)) #s(literal 1/3 binary64))
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b))
(*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b))))
(*.f64 (/.f64 #s(literal -1 binary64) a) (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b))))
(*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) (pow.f64 (/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) a)) #s(literal -1 binary64)))
(*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) (/.f64 #s(literal 1/3 binary64) a))
(*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) a)))
(*.f64 #s(literal -1 binary64) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (/.f64 #s(literal 1/3 binary64) a)))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)))
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) a)))
(pow.f64 (/.f64 a (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/3 binary64) a)) (/.f64 #s(literal -1 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b))) (neg.f64 a))
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) c) a) (/.f64 #s(literal 1/3 binary64) a)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))))
(/.f64 (*.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)) (*.f64 (*.f64 b b) b)) (/.f64 #s(literal 1/3 binary64) a)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))))
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) a) #s(literal 3 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b))) (neg.f64 a))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b))) #s(literal -3 binary64))
(/.f64 (*.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)) (*.f64 (*.f64 b b) b)) #s(literal 1 binary64)) (*.f64 (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)))
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)) a)
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)) #s(literal 3 binary64))
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))))))
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)) (*.f64 (*.f64 b b) b)) (*.f64 (*.f64 #s(literal 3 binary64) a) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))))))
(/.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 #s(literal -3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) (neg.f64 (*.f64 #s(literal -3 binary64) a)))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) (*.f64 #s(literal 3 binary64) a))
(/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (*.f64 #s(literal -3 binary64) a))
(/.f64 (*.f64 (*.f64 #s(literal 3 binary64) c) a) (*.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))))))
(/.f64 (*.f64 (*.f64 #s(literal 3 binary64) c) a) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)))
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(literal 3 binary64) a) (/.f64 #s(literal -1 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)) (neg.f64 a)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)) (*.f64 #s(literal 3 binary64) a)))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 a) (/.f64 #s(literal 3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b))))
(/.f64 (/.f64 #s(literal 1 binary64) a) (neg.f64 (/.f64 #s(literal -3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b))))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)))
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)))
(neg.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)))
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 #s(literal 3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b))))
(neg.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) (*.f64 #s(literal -3 binary64) a)))
(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b))) (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b))))
(-.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) #s(literal 0 binary64)) (neg.f64 (*.f64 #s(literal -3 binary64) a))) (/.f64 b (neg.f64 (*.f64 #s(literal -3 binary64) a))))
(-.f64 (/.f64 (/.f64 (*.f64 b b) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))))) (neg.f64 (*.f64 #s(literal -3 binary64) a))) (/.f64 (/.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))))) (neg.f64 (*.f64 #s(literal -3 binary64) a))))
(-.f64 (/.f64 (/.f64 b #s(literal -1 binary64)) (neg.f64 (*.f64 #s(literal -3 binary64) a))) (/.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) #s(literal -1 binary64)) (neg.f64 (*.f64 #s(literal -3 binary64) a))))
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (neg.f64 (*.f64 #s(literal -3 binary64) a))) (/.f64 b (neg.f64 (*.f64 #s(literal -3 binary64) a))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 #s(literal -3 binary64) a))) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (neg.f64 (*.f64 #s(literal -3 binary64) a))))
(-.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) #s(literal 0 binary64)) (*.f64 #s(literal 3 binary64) a)) (/.f64 b (*.f64 #s(literal 3 binary64) a)))
(-.f64 (/.f64 (/.f64 (*.f64 b b) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))))) (*.f64 #s(literal 3 binary64) a)) (/.f64 (/.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))))) (*.f64 #s(literal 3 binary64) a)))
(-.f64 (/.f64 (/.f64 b #s(literal -1 binary64)) (*.f64 #s(literal 3 binary64) a)) (/.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) #s(literal -1 binary64)) (*.f64 #s(literal 3 binary64) a)))
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) (/.f64 b (*.f64 #s(literal 3 binary64) a)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 3 binary64) a)) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)))
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(-.f64 (/.f64 (*.f64 #s(literal 3/2 binary64) (*.f64 (neg.f64 c) a)) (*.f64 (*.f64 b b) (*.f64 (neg.f64 c) a))) (/.f64 (*.f64 (*.f64 b b) #s(literal -2 binary64)) (*.f64 (*.f64 b b) (*.f64 (neg.f64 c) a))))
(-.f64 (/.f64 (*.f64 #s(literal 3/2 binary64) (*.f64 (*.f64 c a) #s(literal 1/2 binary64))) (*.f64 (*.f64 b b) (*.f64 (*.f64 c a) #s(literal 1/2 binary64)))) (/.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 (*.f64 c a) #s(literal 1/2 binary64)))))
(-.f64 (/.f64 (*.f64 #s(literal 1 binary64) c) (*.f64 (*.f64 (*.f64 b b) #s(literal 2/3 binary64)) c)) (/.f64 (*.f64 (*.f64 (*.f64 b b) #s(literal 2/3 binary64)) (/.f64 #s(literal 2 binary64) a)) (*.f64 (*.f64 (*.f64 b b) #s(literal 2/3 binary64)) c)))
(-.f64 (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) a)) (*.f64 (*.f64 (*.f64 b b) #s(literal 2/3 binary64)) (*.f64 (neg.f64 c) a))) (/.f64 (*.f64 (*.f64 (*.f64 b b) #s(literal 2/3 binary64)) #s(literal -2 binary64)) (*.f64 (*.f64 (*.f64 b b) #s(literal 2/3 binary64)) (*.f64 (neg.f64 c) a))))
(-.f64 (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 c a)) (*.f64 (*.f64 (*.f64 b b) #s(literal 2/3 binary64)) (*.f64 c a))) (/.f64 (*.f64 (*.f64 (*.f64 b b) #s(literal 2/3 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 b b) #s(literal 2/3 binary64)) (*.f64 c a))))
(-.f64 (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 c a) #s(literal 1/2 binary64))) (*.f64 (*.f64 (*.f64 b b) #s(literal 2/3 binary64)) (*.f64 (*.f64 c a) #s(literal 1/2 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 b b) #s(literal 2/3 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 b b) #s(literal 2/3 binary64)) (*.f64 (*.f64 c a) #s(literal 1/2 binary64)))))
(-.f64 (/.f64 (/.f64 #s(literal 9/4 binary64) (*.f64 (*.f64 (*.f64 b b) b) b)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 c a)) (/.f64 #s(literal 3/2 binary64) (*.f64 b b)))) (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 c a) (*.f64 c a))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 c a)) (/.f64 #s(literal 3/2 binary64) (*.f64 b b)))))
(-.f64 (/.f64 (/.f64 #s(literal -27/8 binary64) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))) (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 c a)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 c a)) (/.f64 #s(literal 3/2 binary64) (*.f64 b b))) (/.f64 #s(literal 9/4 binary64) (*.f64 (*.f64 (*.f64 b b) b) b)))) (/.f64 (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 a a) a))) (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 c a)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 c a)) (/.f64 #s(literal 3/2 binary64) (*.f64 b b))) (/.f64 #s(literal 9/4 binary64) (*.f64 (*.f64 (*.f64 b b) b) b)))))
(-.f64 (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) (*.f64 (*.f64 (*.f64 b b) a) c)) (/.f64 (+.f64 b b) (*.f64 (*.f64 (*.f64 b b) a) c)))
(-.f64 (/.f64 #s(literal 3/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2 binary64) (*.f64 c a)))
(+.f64 (/.f64 #s(literal -2 binary64) (*.f64 c a)) (/.f64 #s(literal 3/2 binary64) (*.f64 b b)))
(+.f64 (/.f64 #s(literal 3/2 binary64) (*.f64 b b)) (/.f64 #s(literal -2 binary64) (*.f64 c a)))
(*.f64 (pow.f64 (/.f64 (*.f64 (*.f64 b b) b) (fma.f64 #s(literal 81/256 binary64) (*.f64 (*.f64 (*.f64 (/.f64 c (*.f64 b b)) a) a) (*.f64 (*.f64 (/.f64 c (*.f64 b b)) a) a)) (neg.f64 (*.f64 #s(literal 9/64 binary64) (*.f64 a a))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (/.f64 c (*.f64 b b)) (*.f64 #s(literal 3/8 binary64) a))))
(*.f64 (pow.f64 (/.f64 (*.f64 (*.f64 b b) b) (fma.f64 (/.f64 (*.f64 #s(literal -729/4096 binary64) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 a a) a)) (*.f64 #s(literal -27/512 binary64) (*.f64 (*.f64 a a) a)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 81/256 binary64) (*.f64 (*.f64 (*.f64 (/.f64 c (*.f64 b b)) a) a) (*.f64 (*.f64 (/.f64 c (*.f64 b b)) a) a)) (*.f64 (*.f64 #s(literal -3/8 binary64) a) (-.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (/.f64 c (*.f64 b b))))))))
(*.f64 (/.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (/.f64 c (*.f64 b b)) (*.f64 #s(literal -3/8 binary64) a)) (*.f64 b b)) (/.f64 #s(literal 1 binary64) b))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (pow.f64 (/.f64 b (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (/.f64 c (*.f64 b b)) (*.f64 #s(literal -3/8 binary64) a))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 b b) b)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (/.f64 c (*.f64 b b)) (*.f64 #s(literal -3/8 binary64) a))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 b b) b)) (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (/.f64 c (*.f64 b b)) (*.f64 #s(literal -3/8 binary64) a)))
(*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (/.f64 c (*.f64 b b)) (*.f64 #s(literal -3/8 binary64) a)) (*.f64 b b)))
(*.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (/.f64 c (*.f64 b b)) (*.f64 #s(literal -3/8 binary64) a))) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 b b) b)))
(*.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (/.f64 c (*.f64 b b)) (*.f64 #s(literal -3/8 binary64) a)) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 b b) b)))
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (/.f64 c (*.f64 b b)) (*.f64 #s(literal -3/8 binary64) a)) (*.f64 (*.f64 b b) b)))
(pow.f64 (/.f64 b (/.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (/.f64 c (*.f64 b b)) (*.f64 #s(literal -3/8 binary64) a)) (*.f64 b b))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (*.f64 (*.f64 b b) b) (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (/.f64 c (*.f64 b b)) (*.f64 #s(literal -3/8 binary64) a))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (*.f64 b b) b) (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (/.f64 c (*.f64 b b)) (*.f64 #s(literal -3/8 binary64) a))) #s(literal -1 binary64))
(/.f64 (/.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (/.f64 c (*.f64 b b)) (*.f64 #s(literal -3/8 binary64) a)) b) (*.f64 b b))
(/.f64 (*.f64 (fma.f64 #s(literal 81/256 binary64) (*.f64 (*.f64 (*.f64 (/.f64 c (*.f64 b b)) a) a) (*.f64 (*.f64 (/.f64 c (*.f64 b b)) a) a)) (neg.f64 (*.f64 #s(literal 9/64 binary64) (*.f64 a a)))) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 b b) b))) (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (/.f64 c (*.f64 b b)) (*.f64 #s(literal 3/8 binary64) a)))
(/.f64 (*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -729/4096 binary64) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 a a) a)) (*.f64 #s(literal -27/512 binary64) (*.f64 (*.f64 a a) a))) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 b b) b))) (fma.f64 #s(literal 81/256 binary64) (*.f64 (*.f64 (*.f64 (/.f64 c (*.f64 b b)) a) a) (*.f64 (*.f64 (/.f64 c (*.f64 b b)) a) a)) (*.f64 (*.f64 #s(literal -3/8 binary64) a) (-.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (/.f64 c (*.f64 b b)))))))
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (/.f64 c (*.f64 b b)) (*.f64 #s(literal -3/8 binary64) a)) #s(literal 1 binary64)) (*.f64 (*.f64 b b) b))
(/.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (/.f64 c (*.f64 b b)) (*.f64 #s(literal -3/8 binary64) a)) (*.f64 b b))) (neg.f64 b))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (/.f64 c (*.f64 b b)) (*.f64 #s(literal -3/8 binary64) a)))) (*.f64 (*.f64 b b) b))
(/.f64 (*.f64 (fma.f64 #s(literal 81/256 binary64) (*.f64 (*.f64 (*.f64 (/.f64 c (*.f64 b b)) a) a) (*.f64 (*.f64 (/.f64 c (*.f64 b b)) a) a)) (neg.f64 (*.f64 #s(literal 9/64 binary64) (*.f64 a a)))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (/.f64 c (*.f64 b b)) (*.f64 #s(literal 3/8 binary64) a)) (*.f64 (*.f64 b b) b)))
(/.f64 (*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -729/4096 binary64) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 a a) a)) (*.f64 #s(literal -27/512 binary64) (*.f64 (*.f64 a a) a))) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 81/256 binary64) (*.f64 (*.f64 (*.f64 (/.f64 c (*.f64 b b)) a) a) (*.f64 (*.f64 (/.f64 c (*.f64 b b)) a) a)) (*.f64 (*.f64 #s(literal -3/8 binary64) a) (-.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (/.f64 c (*.f64 b b)))))) (*.f64 (*.f64 b b) b)))
(/.f64 (/.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (/.f64 c (*.f64 b b)) (*.f64 #s(literal -3/8 binary64) a)) (*.f64 b b)) b)
(/.f64 (fma.f64 #s(literal 81/256 binary64) (*.f64 (*.f64 (*.f64 (/.f64 c (*.f64 b b)) a) a) (*.f64 (*.f64 (/.f64 c (*.f64 b b)) a) a)) (neg.f64 (*.f64 #s(literal 9/64 binary64) (*.f64 a a)))) (*.f64 (*.f64 (*.f64 b b) b) (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (/.f64 c (*.f64 b b)) (*.f64 #s(literal 3/8 binary64) a))))
(/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -729/4096 binary64) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 a a) a)) (*.f64 #s(literal -27/512 binary64) (*.f64 (*.f64 a a) a))) (*.f64 (*.f64 (*.f64 b b) b) (fma.f64 #s(literal 81/256 binary64) (*.f64 (*.f64 (*.f64 (/.f64 c (*.f64 b b)) a) a) (*.f64 (*.f64 (/.f64 c (*.f64 b b)) a) a)) (*.f64 (*.f64 #s(literal -3/8 binary64) a) (-.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (/.f64 c (*.f64 b b))))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (/.f64 c (*.f64 b b)) (*.f64 #s(literal -3/8 binary64) a))) (*.f64 (*.f64 b b) b))
(/.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (/.f64 c (*.f64 b b)) (*.f64 #s(literal -3/8 binary64) a)) (*.f64 (*.f64 b b) b))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 b b) b) (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (/.f64 c (*.f64 b b)) (*.f64 #s(literal -3/8 binary64) a)))))
(/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (/.f64 c (*.f64 b b)) (*.f64 #s(literal -3/8 binary64) a)) (*.f64 b b))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 b b) b) (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (/.f64 c (*.f64 b b)) (*.f64 #s(literal -3/8 binary64) a))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 b b) b) (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (/.f64 c (*.f64 b b)) (*.f64 #s(literal -3/8 binary64) a))))
(neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (/.f64 c (*.f64 b b)) (*.f64 #s(literal -3/8 binary64) a)) (*.f64 (*.f64 b b) b)))
(-.f64 (/.f64 (*.f64 #s(literal 81/256 binary64) (*.f64 (*.f64 (*.f64 (/.f64 c (*.f64 b b)) a) a) (*.f64 (*.f64 (/.f64 c (*.f64 b b)) a) a))) (*.f64 (*.f64 (*.f64 b b) b) (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (/.f64 c (*.f64 b b)) (*.f64 #s(literal 3/8 binary64) a)))) (/.f64 (*.f64 #s(literal 9/64 binary64) (*.f64 a a)) (*.f64 (*.f64 (*.f64 b b) b) (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (/.f64 c (*.f64 b b)) (*.f64 #s(literal 3/8 binary64) a)))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 b b) b)) (/.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (/.f64 c (*.f64 b b)) (*.f64 #s(literal -3/8 binary64) a)) (*.f64 (*.f64 b b) b)))
(-.f64 (/.f64 (/.f64 (*.f64 #s(literal 81/256 binary64) (*.f64 (*.f64 (*.f64 (/.f64 c (*.f64 b b)) a) a) (*.f64 (*.f64 (/.f64 c (*.f64 b b)) a) a))) (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (/.f64 c (*.f64 b b)) (*.f64 #s(literal 3/8 binary64) a))) (*.f64 (*.f64 b b) b)) (/.f64 (/.f64 (*.f64 #s(literal 9/64 binary64) (*.f64 a a)) (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (/.f64 c (*.f64 b b)) (*.f64 #s(literal 3/8 binary64) a))) (*.f64 (*.f64 b b) b)))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (*.f64 b b) b) (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (/.f64 c (*.f64 b b)) (*.f64 #s(literal -3/8 binary64) a)))) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 a a) b) (/.f64 c b))
(*.f64 (*.f64 (*.f64 a a) c) (/.f64 #s(literal 1 binary64) (*.f64 b b)))
(*.f64 (*.f64 (/.f64 c (*.f64 b b)) a) a)
(*.f64 (/.f64 c (*.f64 b b)) (*.f64 a a))
(*.f64 (*.f64 a a) (/.f64 c (*.f64 b b)))
(*.f64 c (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (*.f64 a a)))
(*.f64 a (*.f64 (/.f64 c (*.f64 b b)) a))
(pow.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) c)) #s(literal -1 binary64))
(/.f64 (/.f64 (*.f64 (*.f64 a a) c) b) b)
(/.f64 (*.f64 (/.f64 c b) (*.f64 a a)) b)
(/.f64 (*.f64 (neg.f64 c) (*.f64 a a)) (*.f64 (neg.f64 b) b))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 a a)) (*.f64 b (/.f64 b c)))
(/.f64 (*.f64 (*.f64 a a) (/.f64 c b)) b)
(/.f64 (*.f64 (*.f64 a a) (neg.f64 c)) (*.f64 (neg.f64 b) b))
(/.f64 (neg.f64 (*.f64 (*.f64 a a) c)) (*.f64 (neg.f64 b) b))
(/.f64 (*.f64 (*.f64 a a) c) (*.f64 b b))
(/.f64 (*.f64 a a) (*.f64 b (/.f64 b c)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) c)))

eval198.0ms (1.7%)

Memory
45.5MiB live, 472.5MiB allocated
Compiler

Compiled 41 555 to 3 495 computations (91.6% saved)

prune289.0ms (2.5%)

Memory
-4.7MiB live, 561.3MiB allocated
Pruning

48 alts after pruning (42 fresh and 6 done)

PrunedKeptTotal
New1 418271 445
Fresh301545
Picked415
Done156
Total1 453481 501
Accuracy
100.0%
Counts
1 501 → 48
Alt Table
Click to see full alt table
StatusAccuracyProgram
32.8%
(fma.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (neg.f64 b)))
31.5%
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) a) #s(literal 3 binary64))
98.8%
(/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (*.f64 #s(literal 9 binary64) (*.f64 (*.f64 c a) (*.f64 c a)))) (*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) (*.f64 (*.f64 c #s(literal -3 binary64)) a)))) #s(literal 3 binary64)))
99.0%
(/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)) (*.f64 (*.f64 #s(literal 3 binary64) c) a))) #s(literal 3 binary64)))
99.2%
(/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 #s(literal -3 binary64) (*.f64 (*.f64 #s(literal 3 binary64) c) a)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)))
99.0%
(/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c #s(literal -3 binary64)) a)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)) #s(literal 3 binary64)))
90.4%
(/.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) #s(approx (* (- (/ 3/2 (* b b)) (/ 2 (* a c))) b) (fma.f64 #s(literal -2 binary64) (/.f64 b (*.f64 a c)) (/.f64 #s(literal 3/2 binary64) b)))))
90.3%
(/.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) #s(approx (* (- (/ 3/2 (* b b)) (/ 2 (* a c))) b) (/.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 a c)) #s(literal -2 binary64) #s(literal 3/2 binary64)) b))))
31.4%
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) (*.f64 #s(literal 3 binary64) a))
31.5%
(/.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))
99.3%
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) c) a) (/.f64 #s(literal 1/3 binary64) a)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))))
99.2%
(/.f64 (*.f64 (*.f64 #s(literal 3 binary64) c) a) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)))
32.2%
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.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)))
31.4%
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)) a)
80.6%
(/.f64 #s(approx (/ 1 (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)))) (*.f64 #s(literal 3 binary64) a))
80.7%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 c b) #s(literal -3/2 binary64)) a)) (*.f64 #s(literal 3 binary64) a))
31.4%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 3 binary64)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
31.4%
(/.f64 #s(literal 1/3 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
31.5%
(/.f64 #s(literal 1/3 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))) b)))
31.4%
(/.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) a))
94.2%
(/.f64 #s(literal 1/3 binary64) #s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (fma.f64 (fma.f64 (*.f64 (/.f64 c (*.f64 (*.f64 b b) b)) #s(literal 3/8 binary64)) a (/.f64 #s(literal 1/2 binary64) b)) a (*.f64 (/.f64 b c) #s(literal -2/3 binary64)))))
90.4%
(/.f64 #s(literal 1/3 binary64) #s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (fma.f64 (/.f64 a b) #s(literal 1/2 binary64) (*.f64 (/.f64 b c) #s(literal -2/3 binary64)))))
90.4%
(/.f64 #s(literal 1/3 binary64) #s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (/.f64 (fma.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64) (*.f64 #s(literal -2/3 binary64) b)) c)))
80.7%
(/.f64 #s(literal 1/3 binary64) #s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (*.f64 (/.f64 b c) #s(literal -2/3 binary64))))
90.4%
(/.f64 #s(literal 1/3 binary64) #s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (*.f64 (-.f64 (*.f64 (/.f64 a (*.f64 b b)) #s(literal 1/2 binary64)) (/.f64 #s(literal 2/3 binary64) c)) b)))
98.9%
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 c #s(literal -3 binary64)) a)) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))) (/.f64 (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 (*.f64 c a) (*.f64 c a))) (*.f64 (*.f64 c #s(literal -3 binary64)) a)) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))))
30.8%
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) (/.f64 b (*.f64 #s(literal 3 binary64) a)))
31.5%
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -3 binary64)) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))))
31.4%
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 1/3 binary64))
31.5%
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b))
31.4%
(*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) a)))
31.4%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)) #s(literal 1/3 binary64))
31.4%
(*.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))))
90.3%
#s(approx (/ (/ 1 (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)) c)) b))
90.0%
#s(approx (/ (/ 1 (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (* 3 a)) (*.f64 (fma.f64 (/.f64 (*.f64 a c) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) b)) c))
90.1%
#s(approx (/ (/ 1 (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (* 3 a)) (*.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (/.f64 a (*.f64 b b)) (*.f64 #s(literal -1/2 binary64) c)) (/.f64 #s(literal 1 binary64) b)))
90.0%
#s(approx (/ (/ 1 (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (* 3 a)) #s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) (/.f64 (fma.f64 (*.f64 (*.f64 b b) c) #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 c c) a) #s(literal -3/8 binary64))) (*.f64 (*.f64 b b) b))))
90.0%
#s(approx (/ (/ 1 (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (* 3 a)) #s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) (*.f64 (fma.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 b c))) (*.f64 c c))))
96.1%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 c c) #s(literal -9/16 binary64)) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
94.4%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 c b) #s(literal -1/2 binary64) (*.f64 (*.f64 #s(approx (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) (/.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (/.f64 c (*.f64 b b)) (*.f64 #s(literal -3/8 binary64) a)) (*.f64 (*.f64 b b) b))) c) c)))
80.7%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1 binary64) c)))
80.8%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c)))
80.8%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 c b))))
80.6%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) c) b)))
94.0%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 #s(approx (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) (/.f64 #s(approx (+ (* (* (* a a) (/ c (* b b))) -9/16) (* a -3/8)) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -9/16 binary64) #s(literal -3/8 binary64)) a)) (*.f64 (*.f64 b b) b))) c (/.f64 #s(literal -1/2 binary64) b)) c))
81.0%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
90.0%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)) b)) c))
80.7%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c))
Compiler

Compiled 4 713 to 1 312 computations (72.2% saved)

regimes257.0ms (2.2%)

Memory
-1.6MiB live, 320.5MiB allocated
Counts
128 → 1
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) c) b)))
(/.f64 #s(literal 1/3 binary64) #s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (*.f64 (/.f64 b c) #s(literal -2/3 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 c b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1 binary64) c)))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 c b) #s(literal -3/2 binary64)) a)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (/ 1 (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)))) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)) b)) c))
#s(approx (/ (/ 1 (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)) c)) b))
(/.f64 #s(literal 1/3 binary64) #s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (fma.f64 (/.f64 a b) #s(literal 1/2 binary64) (*.f64 (/.f64 b c) #s(literal -2/3 binary64)))))
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b))
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 1/3 binary64))
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a)
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)) a)
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64)))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) (*.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (*.f64 c #s(literal -3/8 binary64)) (/.f64 a (*.f64 (*.f64 b b) b)) (/.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 -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 #s(literal -1/2 binary64) c)) b))
#s(approx (/ (/ 1 a) (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3)) (/.f64 (fma.f64 (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) #s(literal -3/8 binary64) (*.f64 #s(literal -1/2 binary64) c)) b))
#s(approx (/ (/ 1 (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (* 3 a)) (*.f64 (fma.f64 (/.f64 (*.f64 a c) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) b)) c))
#s(approx (/ (/ 1 (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) #s(literal -3/8 binary64) (*.f64 #s(literal -1/2 binary64) c)) b))
(/.f64 #s(literal 1/3 binary64) #s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (/.f64 (fma.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64) (*.f64 #s(literal -2/3 binary64) b)) c)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)) #s(literal 1/3 binary64))
(*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) a)))
(*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) a)))
(/.f64 #s(literal 1/3 binary64) #s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (*.f64 (-.f64 (*.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 a (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))) b)))
(/.f64 #s(literal 1/3 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64))
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) a) #s(literal 3 binary64))
#s(approx (/ (/ 1 (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (* 3 a)) #s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) (/.f64 (fma.f64 (*.f64 (*.f64 b b) c) #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 c c) a) #s(literal -3/8 binary64))) (*.f64 (*.f64 b b) b))))
(*.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
#s(approx (/ (/ 1 (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (* 3 a)) #s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) (*.f64 (fma.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 b c))) (*.f64 c c))))
#s(approx (/ (/ 1 (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (* 3 a)) (*.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (/.f64 a (*.f64 b b)) (*.f64 #s(literal -1/2 binary64) c)) (/.f64 #s(literal 1 binary64) b)))
(/.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) #s(approx (* (- (/ 3/2 (* b b)) (/ 2 (* a c))) b) (fma.f64 #s(literal -2 binary64) (/.f64 b (*.f64 a c)) (/.f64 #s(literal 3/2 binary64) b)))))
(*.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -3 binary64)) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -3 binary64)) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))))
(/.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) a))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 3 binary64)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) #s(literal 3 binary64))
(*.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (*.f64 b (/.f64 b a))) a)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) #s(approx (* (- (/ 3/2 (* b b)) (/ 2 (* a c))) b) (/.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 a c)) #s(literal -2 binary64) #s(literal 3/2 binary64)) b))))
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#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (*.f64 a #s(literal -9/16 binary64)) (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1/3 binary64) (/.f64 a (-.f64 (/.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (/.f64 (*.f64 (*.f64 b b) b) (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -27/16 binary64) a) (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 (*.f64 c c) #s(literal -9/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) a) #s(literal -27/16 binary64)) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) (*.f64 (*.f64 b b) b))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) (*.f64 c (/.f64 c (*.f64 b b))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) c) c) c) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -27/16 binary64) (*.f64 (*.f64 c a) #s(literal -3/2 binary64)))) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* (/ -1 (* (- (* b b) (+ (* (* -3 c) a) (* b b))) (/ 1 (+ (sqrt (+ (* (* -3 c) a) (* b b))) b)))) 3) (/.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 b b) b)) #s(literal 9/8 binary64) (/.f64 (*.f64 #s(literal 27/16 binary64) (*.f64 (*.f64 c c) a)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 #s(literal 3/2 binary64) b)) a (*.f64 #s(literal -2 binary64) (/.f64 b c))) a)))
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 (*.f64 (*.f64 c a) c) a) (*.f64 c a)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b) b))) b) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 (*.f64 (*.f64 b b) b) b))) (*.f64 b b))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 (*.f64 (*.f64 b b) b) b))) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 (*.f64 (*.f64 c a) c) a) (*.f64 c a)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b) b))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 (*.f64 (*.f64 b b) b) b))) (*.f64 (*.f64 b b) b))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 (*.f64 (*.f64 b b) b) b))) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (pow.f64 (pow.f64 a #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) #s(literal 3 binary64)))
(/.f64 (exp.f64 (*.f64 (log.f64 a) #s(literal -1 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) #s(literal 3 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (+ (* (+ (* (+ (* (/ c (* (* (* b b) b) (* b b))) (* (* c c) -9/16)) (* (* a -1/6) (* (* (* (* c c) c) c) (/ 405/64 (* (* (* b b) b) (* (* (* b b) b) b)))))) a) (/ (* (* c c) -3/8) (* (* b b) b))) a) (* (/ c b) -1/2)) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 (*.f64 a a) a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (*.f64 (*.f64 c c) c) (*.f64 (fma.f64 (*.f64 (*.f64 c c) a) #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 b b) c) #s(literal -1/2 binary64))) (*.f64 b b))) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) c) (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) (*.f64 b a))) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #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 (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 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1/3 binary64) #s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (fma.f64 (fma.f64 (fma.f64 (neg.f64 a) (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 c (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) c) (*.f64 b b)) #s(literal -3/4 binary64) (fma.f64 (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 c c))) #s(literal -2/9 binary64) (/.f64 (*.f64 #s(literal 9/16 binary64) (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))))) (*.f64 (/.f64 c (*.f64 (*.f64 b b) b)) #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 (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 c) (fma.f64 (*.f64 a (/.f64 (*.f64 (/.f64 (*.f64 a a) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) (*.f64 b b))) #s(literal -3/4 binary64) (fma.f64 (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) a)) #s(literal -2/9 binary64) (/.f64 (*.f64 #s(literal 9/16 binary64) (*.f64 (*.f64 a a) a)) (pow.f64 b #s(literal 5 binary64))))) (/.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 a a)) (*.f64 (*.f64 b b) b))) c (*.f64 (/.f64 a b) #s(literal 1/2 binary64))) c (*.f64 #s(literal -2/3 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 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 4 binary64)))) (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (fma.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (*.f64 (pow.f64 b #s(literal 6 binary64)) a))) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) c)))) b))
(/.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (/.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 a) (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 c (*.f64 (*.f64 b b) b)) #s(literal -9/8 binary64)) c) (*.f64 b b)) #s(literal -3/4 binary64) (fma.f64 (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 c c))) #s(literal -2/3 binary64) (/.f64 (*.f64 #s(literal 27/16 binary64) (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))))) (*.f64 (/.f64 c (*.f64 (*.f64 b b) b)) #s(literal 9/8 binary64))) a (/.f64 #s(literal 3/2 binary64) b)) a (*.f64 #s(literal -2 binary64) (/.f64 b c))) a)))
(/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 a) (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 c (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) c) (*.f64 b b)) #s(literal -3/4 binary64) (fma.f64 (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 c c))) #s(literal -2/9 binary64) (/.f64 (*.f64 #s(literal 9/16 binary64) (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))))) (*.f64 (/.f64 c (*.f64 (*.f64 b b) b)) #s(literal 3/8 binary64))) a (/.f64 #s(literal 1/2 binary64) b)) a (*.f64 (/.f64 b c) #s(literal -2/3 binary64))) a)) #s(literal 3 binary64)))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) a) #s(literal -27/16 binary64)) (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 4 binary64)))) (fma.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) (*.f64 c (/.f64 c (*.f64 b b))) (fma.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64)))) #s(literal -1/2 binary64) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))))) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 (fma.f64 (*.f64 #s(literal -3/4 binary64) a) (*.f64 (*.f64 (*.f64 a c) #s(literal -3/8 binary64)) c) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) #s(literal 405/64 binary64)) (*.f64 (*.f64 a a) (*.f64 c c))) #s(literal -2/9 binary64) (*.f64 (*.f64 #s(literal 9/16 binary64) (*.f64 a a)) (*.f64 c c)))) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (*.f64 a (/.f64 c (pow.f64 b #s(literal 4 binary64)))) #s(literal -3/4 binary64) (fma.f64 (*.f64 a (/.f64 c (pow.f64 b #s(literal 4 binary64)))) #s(literal 3/8 binary64) (/.f64 #s(literal 2/3 binary64) (*.f64 a c))))) b)) #s(literal 3 binary64)))
Outputs
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) c) a) (/.f64 #s(literal 1/3 binary64) a)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))))
Calls

5 calls:

62.0ms
(/.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))
60.0ms
c
47.0ms
b
37.0ms
a
35.0ms
(*.f64 #s(literal 3 binary64) a)
Results
AccuracySegmentsBranch
99.3%1a
99.3%1b
99.3%1c
99.3%1(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
99.3%1(*.f64 #s(literal 3 binary64) a)
Compiler

Compiled 38 to 26 computations (31.6% saved)

regimes146.0ms (1.3%)

Memory
-25.7MiB live, 130.6MiB allocated
Counts
63 → 1
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) c) b)))
(/.f64 #s(literal 1/3 binary64) #s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (*.f64 (/.f64 b c) #s(literal -2/3 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 c b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1 binary64) c)))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 c b) #s(literal -3/2 binary64)) a)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (/ 1 (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)))) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)) b)) c))
#s(approx (/ (/ 1 (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)) c)) b))
(/.f64 #s(literal 1/3 binary64) #s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (fma.f64 (/.f64 a b) #s(literal 1/2 binary64) (*.f64 (/.f64 b c) #s(literal -2/3 binary64)))))
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b))
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 1/3 binary64))
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a)
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)) a)
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64)))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) (*.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (*.f64 c #s(literal -3/8 binary64)) (/.f64 a (*.f64 (*.f64 b b) b)) (/.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 -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 #s(literal -1/2 binary64) c)) b))
#s(approx (/ (/ 1 a) (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3)) (/.f64 (fma.f64 (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) #s(literal -3/8 binary64) (*.f64 #s(literal -1/2 binary64) c)) b))
#s(approx (/ (/ 1 (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (* 3 a)) (*.f64 (fma.f64 (/.f64 (*.f64 a c) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) b)) c))
#s(approx (/ (/ 1 (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) #s(literal -3/8 binary64) (*.f64 #s(literal -1/2 binary64) c)) b))
(/.f64 #s(literal 1/3 binary64) #s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (/.f64 (fma.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64) (*.f64 #s(literal -2/3 binary64) b)) c)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)) #s(literal 1/3 binary64))
(*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) a)))
(*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) a)))
(/.f64 #s(literal 1/3 binary64) #s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (*.f64 (-.f64 (*.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 a (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))) b)))
(/.f64 #s(literal 1/3 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64))
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) a) #s(literal 3 binary64))
#s(approx (/ (/ 1 (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (* 3 a)) #s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) (/.f64 (fma.f64 (*.f64 (*.f64 b b) c) #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 c c) a) #s(literal -3/8 binary64))) (*.f64 (*.f64 b b) b))))
(*.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
#s(approx (/ (/ 1 (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (* 3 a)) #s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) (*.f64 (fma.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 b c))) (*.f64 c c))))
#s(approx (/ (/ 1 (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (* 3 a)) (*.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (/.f64 a (*.f64 b b)) (*.f64 #s(literal -1/2 binary64) c)) (/.f64 #s(literal 1 binary64) b)))
(/.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) #s(approx (* (- (/ 3/2 (* b b)) (/ 2 (* a c))) b) (fma.f64 #s(literal -2 binary64) (/.f64 b (*.f64 a c)) (/.f64 #s(literal 3/2 binary64) b)))))
(*.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -3 binary64)) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -3 binary64)) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))))
(/.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) a))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 3 binary64)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) #s(literal 3 binary64))
(*.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (*.f64 b (/.f64 b a))) a)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) #s(approx (* (- (/ 3/2 (* b b)) (/ 2 (* a c))) b) (/.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 a c)) #s(literal -2 binary64) #s(literal 3/2 binary64)) b))))
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (/.f64 b (*.f64 a #s(literal 3 binary64))))
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) (/.f64 b (*.f64 #s(literal 3 binary64) a)))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) (*.f64 #s(literal -3 binary64) a)))
(fma.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (neg.f64 b)))
(/.f64 (*.f64 (*.f64 #s(literal 3 binary64) c) a) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)))
(/.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (*.f64 (-.f64 (/.f64 #s(literal 3/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2 binary64) (*.f64 a c))) b)))
(+.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (neg.f64 b)))
(/.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (/.f64 (fma.f64 #s(literal 3/2 binary64) (/.f64 a b) (*.f64 #s(literal -2 binary64) (/.f64 b c))) a)))
(/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) (*.f64 a c))) b)) #s(literal 3 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))))) #s(literal 3 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) #s(literal 3 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) (*.f64 a c))) b))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) (*.f64 #s(literal 3 binary64) a))
Outputs
(/.f64 (*.f64 (*.f64 #s(literal 3 binary64) c) a) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)))
Calls

5 calls:

36.0ms
(/.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))
36.0ms
a
23.0ms
c
17.0ms
(*.f64 #s(literal 3 binary64) a)
16.0ms
b
Results
AccuracySegmentsBranch
99.2%1a
99.2%1b
99.2%1c
99.2%1(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
99.2%1(*.f64 #s(literal 3 binary64) a)
Compiler

Compiled 38 to 26 computations (31.6% saved)

regimes82.0ms (0.7%)

Memory
30.6MiB live, 70.0MiB allocated
Counts
54 → 2
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) c) b)))
(/.f64 #s(literal 1/3 binary64) #s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (*.f64 (/.f64 b c) #s(literal -2/3 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 c b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1 binary64) c)))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 c b) #s(literal -3/2 binary64)) a)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (/ 1 (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)))) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)) b)) c))
#s(approx (/ (/ 1 (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)) c)) b))
(/.f64 #s(literal 1/3 binary64) #s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (fma.f64 (/.f64 a b) #s(literal 1/2 binary64) (*.f64 (/.f64 b c) #s(literal -2/3 binary64)))))
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b))
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 1/3 binary64))
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a)
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)) a)
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64)))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) (*.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (*.f64 c #s(literal -3/8 binary64)) (/.f64 a (*.f64 (*.f64 b b) b)) (/.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 -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 #s(literal -1/2 binary64) c)) b))
#s(approx (/ (/ 1 a) (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3)) (/.f64 (fma.f64 (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) #s(literal -3/8 binary64) (*.f64 #s(literal -1/2 binary64) c)) b))
#s(approx (/ (/ 1 (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (* 3 a)) (*.f64 (fma.f64 (/.f64 (*.f64 a c) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) b)) c))
#s(approx (/ (/ 1 (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) #s(literal -3/8 binary64) (*.f64 #s(literal -1/2 binary64) c)) b))
(/.f64 #s(literal 1/3 binary64) #s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (/.f64 (fma.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64) (*.f64 #s(literal -2/3 binary64) b)) c)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)) #s(literal 1/3 binary64))
(*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) a)))
(*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) a)))
(/.f64 #s(literal 1/3 binary64) #s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (*.f64 (-.f64 (*.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 a (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))) b)))
(/.f64 #s(literal 1/3 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64))
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) a) #s(literal 3 binary64))
#s(approx (/ (/ 1 (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (* 3 a)) #s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) (/.f64 (fma.f64 (*.f64 (*.f64 b b) c) #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 c c) a) #s(literal -3/8 binary64))) (*.f64 (*.f64 b b) b))))
(*.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
#s(approx (/ (/ 1 (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (* 3 a)) #s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) (*.f64 (fma.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 b c))) (*.f64 c c))))
#s(approx (/ (/ 1 (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (* 3 a)) (*.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (/.f64 a (*.f64 b b)) (*.f64 #s(literal -1/2 binary64) c)) (/.f64 #s(literal 1 binary64) b)))
(/.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) #s(approx (* (- (/ 3/2 (* b b)) (/ 2 (* a c))) b) (fma.f64 #s(literal -2 binary64) (/.f64 b (*.f64 a c)) (/.f64 #s(literal 3/2 binary64) b)))))
(*.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -3 binary64)) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -3 binary64)) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))))
(/.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) a))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 3 binary64)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) #s(literal 3 binary64))
(*.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (*.f64 b (/.f64 b a))) a)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) #s(approx (* (- (/ 3/2 (* b b)) (/ 2 (* a c))) b) (/.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 a c)) #s(literal -2 binary64) #s(literal 3/2 binary64)) b))))
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (/.f64 b (*.f64 a #s(literal 3 binary64))))
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) (/.f64 b (*.f64 #s(literal 3 binary64) a)))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) (*.f64 #s(literal -3 binary64) a)))
(fma.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (neg.f64 b)))
Outputs
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) (*.f64 #s(literal -3 binary64) a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
Calls

5 calls:

23.0ms
a
14.0ms
(*.f64 #s(literal 3 binary64) a)
14.0ms
c
14.0ms
b
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
90.4%1c
90.4%1a
92.1%2(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
90.4%1(*.f64 #s(literal 3 binary64) a)
90.4%1b
Compiler

Compiled 38 to 26 computations (31.6% saved)

regimes20.0ms (0.2%)

Memory
-15.8MiB live, 20.7MiB allocated
Counts
52 → 2
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) c) b)))
(/.f64 #s(literal 1/3 binary64) #s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (*.f64 (/.f64 b c) #s(literal -2/3 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 c b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1 binary64) c)))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 c b) #s(literal -3/2 binary64)) a)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (/ 1 (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)))) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)) b)) c))
#s(approx (/ (/ 1 (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)) c)) b))
(/.f64 #s(literal 1/3 binary64) #s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (fma.f64 (/.f64 a b) #s(literal 1/2 binary64) (*.f64 (/.f64 b c) #s(literal -2/3 binary64)))))
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b))
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 1/3 binary64))
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a)
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)) a)
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64)))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) (*.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (*.f64 c #s(literal -3/8 binary64)) (/.f64 a (*.f64 (*.f64 b b) b)) (/.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 -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 #s(literal -1/2 binary64) c)) b))
#s(approx (/ (/ 1 a) (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3)) (/.f64 (fma.f64 (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) #s(literal -3/8 binary64) (*.f64 #s(literal -1/2 binary64) c)) b))
#s(approx (/ (/ 1 (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (* 3 a)) (*.f64 (fma.f64 (/.f64 (*.f64 a c) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) b)) c))
#s(approx (/ (/ 1 (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) #s(literal -3/8 binary64) (*.f64 #s(literal -1/2 binary64) c)) b))
(/.f64 #s(literal 1/3 binary64) #s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (/.f64 (fma.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64) (*.f64 #s(literal -2/3 binary64) b)) c)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)) #s(literal 1/3 binary64))
(*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) a)))
(*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) a)))
(/.f64 #s(literal 1/3 binary64) #s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (*.f64 (-.f64 (*.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 a (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))) b)))
(/.f64 #s(literal 1/3 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64))
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) a) #s(literal 3 binary64))
#s(approx (/ (/ 1 (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (* 3 a)) #s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) (/.f64 (fma.f64 (*.f64 (*.f64 b b) c) #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 c c) a) #s(literal -3/8 binary64))) (*.f64 (*.f64 b b) b))))
(*.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
#s(approx (/ (/ 1 (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (* 3 a)) #s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) (*.f64 (fma.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 b c))) (*.f64 c c))))
#s(approx (/ (/ 1 (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (* 3 a)) (*.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (/.f64 a (*.f64 b b)) (*.f64 #s(literal -1/2 binary64) c)) (/.f64 #s(literal 1 binary64) b)))
(/.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) #s(approx (* (- (/ 3/2 (* b b)) (/ 2 (* a c))) b) (fma.f64 #s(literal -2 binary64) (/.f64 b (*.f64 a c)) (/.f64 #s(literal 3/2 binary64) b)))))
(*.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -3 binary64)) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -3 binary64)) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))))
(/.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) a))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 3 binary64)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) #s(literal 3 binary64))
(*.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (*.f64 b (/.f64 b a))) a)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) #s(approx (* (- (/ 3/2 (* b b)) (/ 2 (* a c))) b) (/.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 a c)) #s(literal -2 binary64) #s(literal 3/2 binary64)) b))))
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (/.f64 b (*.f64 a #s(literal 3 binary64))))
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) (/.f64 b (*.f64 #s(literal 3 binary64) a)))
Outputs
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
Calls

1 calls:

13.0ms
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
Results
AccuracySegmentsBranch
92.1%2(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
Compiler

Compiled 20 to 12 computations (40% saved)

regimes12.0ms (0.1%)

Memory
19.1MiB live, 19.1MiB allocated
Counts
37 → 2
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) c) b)))
(/.f64 #s(literal 1/3 binary64) #s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (*.f64 (/.f64 b c) #s(literal -2/3 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 c b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1 binary64) c)))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 c b) #s(literal -3/2 binary64)) a)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (/ 1 (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)))) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)) b)) c))
#s(approx (/ (/ 1 (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)) c)) b))
(/.f64 #s(literal 1/3 binary64) #s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (fma.f64 (/.f64 a b) #s(literal 1/2 binary64) (*.f64 (/.f64 b c) #s(literal -2/3 binary64)))))
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b))
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 1/3 binary64))
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a)
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)) a)
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64)))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) (*.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (*.f64 c #s(literal -3/8 binary64)) (/.f64 a (*.f64 (*.f64 b b) b)) (/.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 -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 #s(literal -1/2 binary64) c)) b))
#s(approx (/ (/ 1 a) (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3)) (/.f64 (fma.f64 (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) #s(literal -3/8 binary64) (*.f64 #s(literal -1/2 binary64) c)) b))
#s(approx (/ (/ 1 (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (* 3 a)) (*.f64 (fma.f64 (/.f64 (*.f64 a c) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) b)) c))
#s(approx (/ (/ 1 (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) #s(literal -3/8 binary64) (*.f64 #s(literal -1/2 binary64) c)) b))
(/.f64 #s(literal 1/3 binary64) #s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (/.f64 (fma.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64) (*.f64 #s(literal -2/3 binary64) b)) c)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)) #s(literal 1/3 binary64))
(*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) a)))
(*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) a)))
(/.f64 #s(literal 1/3 binary64) #s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (*.f64 (-.f64 (*.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 a (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))) b)))
(/.f64 #s(literal 1/3 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64))
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) a) #s(literal 3 binary64))
#s(approx (/ (/ 1 (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (* 3 a)) #s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) (/.f64 (fma.f64 (*.f64 (*.f64 b b) c) #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 c c) a) #s(literal -3/8 binary64))) (*.f64 (*.f64 b b) b))))
(*.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) a)))
Outputs
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 #s(literal -1/2 binary64) c)) b))
Calls

1 calls:

10.0ms
(/.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
92.1%2(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
Compiler

Compiled 20 to 12 computations (40% saved)

regimes15.0ms (0.1%)

Memory
-22.8MiB live, 13.6MiB allocated
Counts
21 → 2
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) c) b)))
(/.f64 #s(literal 1/3 binary64) #s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (*.f64 (/.f64 b c) #s(literal -2/3 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 c b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1 binary64) c)))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 c b) #s(literal -3/2 binary64)) a)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (/ 1 (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)))) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)) b)) c))
#s(approx (/ (/ 1 (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)) c)) b))
(/.f64 #s(literal 1/3 binary64) #s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (fma.f64 (/.f64 a b) #s(literal 1/2 binary64) (*.f64 (/.f64 b c) #s(literal -2/3 binary64)))))
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b))
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 1/3 binary64))
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a)
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)) a)
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64)))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) (*.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (*.f64 c #s(literal -3/8 binary64)) (/.f64 a (*.f64 (*.f64 b b) b)) (/.f64 #s(literal -1/2 binary64) b)) c))
Outputs
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))
#s(approx (/ (/ 1 (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)) c)) b))
Calls

1 calls:

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
92.0%2(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
Compiler

Compiled 20 to 12 computations (40% saved)

regimes37.0ms (0.3%)

Memory
-2.4MiB live, 41.8MiB allocated
Counts
12 → 1
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) c) b)))
(/.f64 #s(literal 1/3 binary64) #s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (*.f64 (/.f64 b c) #s(literal -2/3 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 c b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1 binary64) c)))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 c b) #s(literal -3/2 binary64)) a)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (/ 1 (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)))) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)) b)) c))
#s(approx (/ (/ 1 (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)) c)) b))
(/.f64 #s(literal 1/3 binary64) #s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (fma.f64 (/.f64 a b) #s(literal 1/2 binary64) (*.f64 (/.f64 b c) #s(literal -2/3 binary64)))))
Outputs
(/.f64 #s(literal 1/3 binary64) #s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (fma.f64 (/.f64 a b) #s(literal 1/2 binary64) (*.f64 (/.f64 b c) #s(literal -2/3 binary64)))))
Calls

5 calls:

20.0ms
c
4.0ms
(*.f64 #s(literal 3 binary64) a)
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
90.4%1b
90.4%1a
90.4%1c
90.4%1(*.f64 #s(literal 3 binary64) a)
90.4%1(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
Compiler

Compiled 38 to 26 computations (31.6% saved)

regimes40.0ms (0.3%)

Memory
22.4MiB live, 56.2MiB allocated
Counts
11 → 1
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) c) b)))
(/.f64 #s(literal 1/3 binary64) #s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (*.f64 (/.f64 b c) #s(literal -2/3 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 c b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1 binary64) c)))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 c b) #s(literal -3/2 binary64)) a)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (/ 1 (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)))) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)) b)) c))
#s(approx (/ (/ 1 (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)) c)) b))
Outputs
#s(approx (/ (/ 1 (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)) c)) b))
Calls

5 calls:

24.0ms
(*.f64 #s(literal 3 binary64) a)
4.0ms
c
4.0ms
b
4.0ms
a
4.0ms
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
Results
AccuracySegmentsBranch
90.3%1a
90.3%1(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
90.3%1(*.f64 #s(literal 3 binary64) a)
90.3%1c
90.3%1b
Compiler

Compiled 38 to 26 computations (31.6% saved)

regimes55.0ms (0.5%)

Memory
0.2MiB live, 36.5MiB allocated
Counts
10 → 1
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) c) b)))
(/.f64 #s(literal 1/3 binary64) #s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (*.f64 (/.f64 b c) #s(literal -2/3 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 c b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1 binary64) c)))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 c b) #s(literal -3/2 binary64)) a)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (/ 1 (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)))) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)) b)) c))
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)) b)) c))
Calls

5 calls:

40.0ms
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
4.0ms
b
3.0ms
(*.f64 #s(literal 3 binary64) a)
3.0ms
c
3.0ms
a
Results
AccuracySegmentsBranch
90.0%1a
90.0%1(*.f64 #s(literal 3 binary64) a)
90.0%1b
90.0%1c
90.0%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))
Compiler

Compiled 38 to 26 computations (31.6% saved)

regimes47.0ms (0.4%)

Memory
-13.9MiB live, 23.9MiB allocated
Counts
9 → 1
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) c) b)))
(/.f64 #s(literal 1/3 binary64) #s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (*.f64 (/.f64 b c) #s(literal -2/3 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 c b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1 binary64) c)))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 c b) #s(literal -3/2 binary64)) a)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (/ 1 (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)))) (*.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:

33.0ms
(*.f64 #s(literal 3 binary64) a)
3.0ms
c
3.0ms
b
3.0ms
a
3.0ms
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
Results
AccuracySegmentsBranch
81.0%1a
81.0%1b
81.0%1(*.f64 #s(literal 3 binary64) a)
81.0%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))
81.0%1c
Compiler

Compiled 38 to 26 computations (31.6% saved)

regimes7.0ms (0.1%)

Memory
12.0MiB live, 12.0MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c))
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c))
Calls

5 calls:

1.0ms
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
1.0ms
b
1.0ms
(*.f64 #s(literal 3 binary64) a)
1.0ms
c
1.0ms
a
Results
AccuracySegmentsBranch
80.7%1c
80.7%1a
80.7%1(*.f64 #s(literal 3 binary64) a)
80.7%1(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
80.7%1b
Compiler

Compiled 38 to 26 computations (31.6% saved)

bsearch1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-8559.827476290553
-4576.009182881463
Compiler

Compiled 23 to 18 computations (21.7% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-8559.827476290553
-4576.009182881463
Compiler

Compiled 23 to 18 computations (21.7% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-8559.827476290553
-4576.009182881463
Compiler

Compiled 23 to 18 computations (21.7% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-8559.827476290553
-4576.009182881463
Compiler

Compiled 23 to 18 computations (21.7% saved)

simplify15.0ms (0.1%)

Memory
8.6MiB live, 8.6MiB allocated
Algorithm
egg-herbie
Rules
74×*-commutative_binary64
44×+-commutative_binary64
40×sub-neg_binary64
34×neg-sub0_binary64
34×neg-mul-1_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0120557
1157553
2183553
3207553
4232553
5251553
6269553
7283553
8289553
9291553
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) c) a) (/.f64 #s(literal 1/3 binary64) a)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))))
(/.f64 (*.f64 (*.f64 #s(literal 3 binary64) c) a) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)))
(if (<=.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) #s(literal -5000 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) (*.f64 #s(literal -3 binary64) a))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))))
(if (<=.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) #s(literal -5000 binary64)) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))))
(if (<=.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) #s(literal -5000 binary64)) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 #s(literal -1/2 binary64) c)) b)))
(if (<=.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) #s(literal -5000 binary64)) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) #s(approx (/ (/ 1 (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)) c)) b)))
(/.f64 #s(literal 1/3 binary64) #s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (fma.f64 (/.f64 a b) #s(literal 1/2 binary64) (*.f64 (/.f64 b c) #s(literal -2/3 binary64)))))
#s(approx (/ (/ 1 (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)) c)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)) b)) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c))
Outputs
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) c) a) (/.f64 #s(literal 1/3 binary64) a)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))))
(/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (*.f64 a (*.f64 c #s(literal 3 binary64)))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))
(/.f64 (*.f64 (*.f64 #s(literal 3 binary64) c) a) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)))
(/.f64 (*.f64 (*.f64 (neg.f64 #s(literal 3 binary64)) c) a) (*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))))
(if (<=.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) #s(literal -5000 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) (*.f64 #s(literal -3 binary64) a))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))))
(if (<=.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) c))) b) (*.f64 a #s(literal 3 binary64))) #s(literal -5000 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(literal -3 binary64) a) (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))))
(if (<=.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) #s(literal -5000 binary64)) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))))
(if (<=.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) c))) b) (*.f64 a #s(literal 3 binary64))) #s(literal -5000 binary64)) (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (/.f64 #s(literal 1/3 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))))
(if (<=.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) #s(literal -5000 binary64)) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 #s(literal -1/2 binary64) c)) b)))
(if (<=.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) c))) b) (*.f64 a #s(literal 3 binary64))) #s(literal -5000 binary64)) (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (/.f64 #s(literal 1/3 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 (/.f64 c (*.f64 b b)) c) (*.f64 #s(literal -1/2 binary64) c)) b)))
(if (<=.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) #s(literal -5000 binary64)) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) #s(approx (/ (/ 1 (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)) c)) b)))
(if (<=.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) c))) b) (*.f64 a #s(literal 3 binary64))) #s(literal -5000 binary64)) (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (/.f64 #s(literal 1/3 binary64) a)) #s(approx (/ (/ 1 (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 (fma.f64 (*.f64 (/.f64 c (*.f64 b b)) a) #s(literal -3/8 binary64) #s(literal -1/2 binary64)) c)) b)))
(/.f64 #s(literal 1/3 binary64) #s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (fma.f64 (/.f64 a b) #s(literal 1/2 binary64) (*.f64 (/.f64 b c) #s(literal -2/3 binary64)))))
(/.f64 #s(literal 1/3 binary64) #s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (fma.f64 (/.f64 a b) #s(literal 1/2 binary64) (*.f64 #s(literal -2/3 binary64) (/.f64 b c)))))
#s(approx (/ (/ 1 (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)) c)) b))
#s(approx (/ (/ 1 (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 (fma.f64 (*.f64 (/.f64 c (*.f64 b b)) a) #s(literal -3/8 binary64) #s(literal -1/2 binary64)) c)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)) b)) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (*.f64 (/.f64 c (*.f64 b b)) a) #s(literal -3/8 binary64) #s(literal -1/2 binary64)) b)) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c))

soundness1.7s (14.4%)

Memory
-18.4MiB live, 1 147.2MiB allocated
Rules
11 360×lower-fma.f64
11 360×lower-fma.f32
8 464×lower-*.f64
8 464×lower-*.f32
7 686×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0171717189
1573116810
0823916194
082540
0124478
1511438
24078438
08594431
01246
02046
17144
252543
3683643
0812540
0143015713
1461615339
0931014721
0199819617
1663419245
0811718573
04702458
114452441
248902418
080562302
082602
0131495
1525433
24198423
08333414
067429
0113407
1426385
23367385
09500385
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 856 to 322 computations (62.4% saved)

preprocess85.0ms (0.7%)

Memory
7.0MiB live, 85.5MiB allocated
Compiler

Compiled 672 to 168 computations (75% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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