Quadratic roots, medium range

Time bar (total: 11.8s)

analyze220.0ms (1.9%)

Memory
16.1MiB live, 576.5MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%0%100%0%0%0%0
0%0%0%100%0%0%0%1
0%0%0%100%0%0%0%2
0%0%0%100%0%0%0%3
0%0%0%100%0%0%0%4
0%0%0%100%0%0%0%5
0%0%0%100%0%0%0%6
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 28 computations (31.7% saved)

sample2.3s (19.3%)

Memory
53.1MiB live, 5 652.9MiB allocated
Samples
1.1s5 257×1valid
378.0ms2 999×0valid
164.0ms1 188×0invalid
Precisions
Click to see histograms. Total time spent on operations: 1.3s
ival-mult: 260.0ms (20.6% of total)
const: 197.0ms (15.6% of total)
ival-sqrt: 160.0ms (12.6% of total)
ival-<: 156.0ms (12.3% of total)
adjust: 132.0ms (10.4% of total)
ival-div: 101.0ms (8% of total)
ival-sub: 80.0ms (6.3% of total)
ival-add: 74.0ms (5.9% of total)
ival-neg: 53.0ms (4.2% of total)
ival-and: 35.0ms (2.8% of total)
exact: 13.0ms (1% of total)
ival-assert: 4.0ms (0.3% of total)
Bogosity

preprocess144.0ms (1.2%)

Memory
0.9MiB live, 199.3MiB allocated
Algorithm
egg-herbie
Rules
1 548×div-sub
1 120×lower-fma.f64
1 120×lower-fma.f32
1 004×sub-neg
744×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054158
1162144
2463144
31233144
43210144
56057144
01417
02317
14016
27716
316016
424016
538116
666216
7112916
8224316
9251916
10262916
11268416
12268516
13268516
14269116
0269115
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 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))
Outputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b) (*.f64 a #s(literal 2 binary64)))

explain183.0ms (1.6%)

Memory
10.5MiB live, 569.2MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2442(9220316770.421051 36.59667641663284 6.29108731087149e-10)4(266.3549908456363 3.4783089203068154 0.00032970085205292755)(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))
00-0-a
00-0-#s(literal 4 binary64)
00-0-(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))
00-0-(*.f64 (*.f64 #s(literal 4 binary64) a) c)
00-0-(*.f64 b b)
00-0-(*.f64 #s(literal 2 binary64) a)
00-0-c
00-0-#s(literal 2 binary64)
00-0-(neg.f64 b)
00-0-(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))
00-0-(*.f64 #s(literal 4 binary64) a)
00-0-b
00-0-(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 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 4 binary64) a) c))))cancellation2426
Confusion
Predicted +Predicted -
+2414
-110
Precision
0.9958677685950413
Recall
0.9836734693877551
Confusion?
Predicted +Predicted MaybePredicted -
+24131
-137
Precision?
0.9838709677419355
Recall?
0.9959183673469387
Freqs
test
numberfreq
014
1242
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
60.0ms324×1valid
19.0ms188×0valid
Compiler

Compiled 184 to 60 computations (67.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 52.0ms
ival-mult: 14.0ms (27% of total)
ival-div: 12.0ms (23.1% of total)
adjust: 6.0ms (11.6% of total)
ival-sqrt: 6.0ms (11.6% of total)
ival-add: 5.0ms (9.6% of total)
ival-sub: 5.0ms (9.6% of total)
ival-neg: 3.0ms (5.8% of total)
exact: 1.0ms (1.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune2.0ms (0%)

Memory
-36.5MiB live, 2.5MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
32.6%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))
Compiler

Compiled 20 to 14 computations (30% saved)

simplify111.0ms (0.9%)

Memory
12.2MiB live, 137.0MiB 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 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))
cost-diff128
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))
cost-diff128
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))
Rules
1 120×lower-fma.f64
1 120×lower-fma.f32
744×lower-*.f32
736×lower-*.f64
440×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01470
02370
14068
27768
316068
424068
538168
666268
7112968
8224368
9251968
10262968
11268468
12268568
13268568
14269168
0269164
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 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))
(neg.f64 b)
b
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))
(*.f64 b b)
(*.f64 (*.f64 #s(literal 4 binary64) a) c)
(*.f64 #s(literal 4 binary64) a)
#s(literal 4 binary64)
a
c
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
Outputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b) (*.f64 a #s(literal 2 binary64)))
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))
(-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b)
(neg.f64 b)
b
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))
(sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))
(*.f64 b b)
(*.f64 (*.f64 #s(literal 4 binary64) a) c)
(*.f64 #s(literal 4 binary64) (*.f64 a c))
(*.f64 #s(literal 4 binary64) a)
#s(literal 4 binary64)
a
c
(*.f64 #s(literal 2 binary64) a)
(*.f64 a #s(literal 2 binary64))
#s(literal 2 binary64)

localize54.0ms (0.5%)

Memory
7.7MiB live, 166.2MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy99.9%
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))
accuracy99.8%
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))
accuracy99.6%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))
accuracy32.8%
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))
Samples
28.0ms162×1valid
10.0ms94×0valid
Compiler

Compiled 72 to 16 computations (77.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-mult: 9.0ms (36.8% of total)
ival-div: 4.0ms (16.4% of total)
adjust: 3.0ms (12.3% of total)
ival-sqrt: 3.0ms (12.3% of total)
ival-add: 2.0ms (8.2% of total)
ival-sub: 2.0ms (8.2% of total)
ival-neg: 1.0ms (4.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series26.0ms (0.2%)

Memory
2.4MiB live, 81.2MiB allocated
Counts
5 → 156
Calls
Call 1
Inputs
#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())
#s(alt (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) (patch (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())
#s(alt (neg.f64 b) (patch (neg.f64 b) #<representation binary64>) () ())
#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())
Outputs
#s(alt (* (sqrt (* a c)) (sqrt -4)) (taylor 0 b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 b) (* (sqrt (* a c)) (sqrt -4))) (taylor 0 b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))) (taylor 0 b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4))) (taylor 0 b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ (* a c) b)) (taylor inf b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) (taylor inf b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) (taylor inf b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) (taylor inf b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* -2 b) (taylor -inf b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))) (taylor -inf b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) (taylor -inf b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) (taylor -inf b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ (* a c) b)) (taylor 0 a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) (taylor 0 a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))) (taylor 0 a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))) (taylor 0 a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (* a c)) (sqrt -4)) (taylor inf a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) (taylor inf a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a))) (taylor inf a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a))) (taylor inf a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* -2 (* (sqrt (* a c)) (sqrt -1))) (taylor -inf a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)))) (taylor -inf a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) (taylor -inf a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) (taylor -inf b) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt b (taylor 0 a) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (+ b (* -2 (/ (* a c) b))) (taylor 0 a) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) (taylor 0 a) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) (taylor 0 a) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (* a c)) (sqrt -4)) (taylor inf a) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (taylor inf a) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) (taylor inf a) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))) (taylor inf a) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (* -2 (* (sqrt (* a c)) (sqrt -1))) (taylor -inf a) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) (taylor -inf a) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) (taylor -inf a) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) (taylor -inf a) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt b (taylor 0 c) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (+ b (* -2 (/ (* a c) b))) (taylor 0 c) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) (taylor 0 c) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) (taylor 0 c) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (* a c)) (sqrt -4)) (taylor inf c) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (taylor inf c) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) (taylor inf c) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) (taylor inf c) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (* -2 (* (sqrt (* a c)) (sqrt -1))) (taylor -inf c) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) (taylor -inf c) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))) (taylor -inf c) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) (taylor -inf c) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
Calls

39 calls:

TimeVariablePointExpression
2.0ms
c
@0
(+ (neg b) (sqrt (- (* b b) (* (* 4 a) c))))
1.0ms
b
@inf
(/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))
1.0ms
a
@inf
(sqrt (- (* b b) (* (* 4 a) c)))
1.0ms
c
@inf
(sqrt (- (* b b) (* (* 4 a) c)))
1.0ms
b
@inf
(+ (neg b) (sqrt (- (* b b) (* (* 4 a) c))))

simplify429.0ms (3.6%)

Memory
5.5MiB live, 957.1MiB allocated
Algorithm
egg-herbie
Rules
11 458×lower-fma.f64
11 458×lower-fma.f32
7 766×lower-*.f64
7 766×lower-*.f32
2 546×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05453273
117383232
260833204
082433047
Stop Event
iter limit
node limit
Counts
156 → 153
Calls
Call 1
Inputs
(* (sqrt (* a c)) (sqrt -4))
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(* -2 (/ (* a c) b))
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
(* -2 b)
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -2 (/ (* a c) b))
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -2 (/ (* a c) b))
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c)))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -4 (* a c))
(- (pow b 2) (* 4 (* a c)))
(- (pow b 2) (* 4 (* a c)))
(- (pow b 2) (* 4 (* a c)))
(pow b 2)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(pow b 2)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* -4 (* a c))
(* a (- (/ (pow b 2) a) (* 4 c)))
(* a (- (/ (pow b 2) a) (* 4 c)))
(* a (- (/ (pow b 2) a) (* 4 c)))
(* -4 (* a c))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* -4 (* a c))
(* c (- (/ (pow b 2) c) (* 4 a)))
(* c (- (/ (pow b 2) c) (* 4 a)))
(* c (- (/ (pow b 2) c) (* 4 a)))
(* -4 (* a c))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))
(* -1 (/ c b))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* (sqrt (* a c)) (sqrt -4))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))
b
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 b)
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
Outputs
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) (neg.f64 b))
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(fma.f64 b (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 (/.f64 b (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))))
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(fma.f64 b (fma.f64 b (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c))))))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1/32 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -4 binary64))))) #s(literal -1 binary64)) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))))
(* -2 (/ (* a c) b))
(*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b))
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 a c))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c))))) (*.f64 (*.f64 b b) (*.f64 b b))) (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 a c)))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
(/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c))))) (*.f64 (*.f64 b b) (*.f64 b b))) (fma.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 a c)) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (/.f64 #s(literal 20 binary64) (pow.f64 b #s(literal 6 binary64))))))) b)
(* -2 b)
(*.f64 b #s(literal -2 binary64))
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(*.f64 b (neg.f64 (fma.f64 (*.f64 a c) (/.f64 #s(literal -2 binary64) (*.f64 b b)) #s(literal 2 binary64))))
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(*.f64 (fma.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 c (*.f64 b b)) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 (*.f64 b b) (*.f64 b b)))) #s(literal 2 binary64)) (neg.f64 b))
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(*.f64 b (neg.f64 (fma.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 c (*.f64 b b)) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 (*.f64 b b) (*.f64 b b)))) (fma.f64 #s(literal -4 binary64) (*.f64 (*.f64 a (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 6 binary64)))) #s(literal 2 binary64)))))
(* -2 (/ (* a c) b))
(*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b))
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))
(*.f64 (*.f64 a #s(literal -2 binary64)) (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))) (/.f64 c b)))
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))
(*.f64 a (fma.f64 a (fma.f64 (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) (*.f64 a #s(literal -4 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b)))) (*.f64 #s(literal -2 binary64) (/.f64 c b))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))
(*.f64 a (fma.f64 a (fma.f64 a (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 a b)) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b)))) (*.f64 #s(literal -2 binary64) (/.f64 c b))))
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(*.f64 a (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b (neg.f64 a))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a)))
(*.f64 a (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 b b) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a)))))) (sqrt.f64 #s(literal -4 binary64))) (/.f64 b (neg.f64 a)))))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a)))
(*.f64 a (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (pow.f64 a #s(literal 5 binary64)))))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/32 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 b b) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a)))))) (sqrt.f64 #s(literal -4 binary64))) (/.f64 b (neg.f64 a))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (sqrt.f64 (*.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -2 binary64)))
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (/.f64 b a)) (neg.f64 a))
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(*.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/4 binary64)) (neg.f64 b)) a)) (neg.f64 a))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (+.f64 (/.f64 (fma.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 a c))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/64 binary64)))) a) b) a)) (neg.f64 a))
(* -2 (/ (* a c) b))
(*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b))
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))
(*.f64 (*.f64 c #s(literal -2 binary64)) (fma.f64 a (/.f64 (*.f64 a c) (*.f64 b (*.f64 b b))) (/.f64 a b)))
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))
(*.f64 c (fma.f64 c (fma.f64 (/.f64 (*.f64 a (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))) (*.f64 c #s(literal -4 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -2 binary64)) b)))
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b))))))))
(*.f64 c (fma.f64 c (fma.f64 c (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 c b)) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 a (*.f64 a a))) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -2 binary64)) b)))
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(*.f64 c (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c)) (/.f64 b (neg.f64 c))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c)))
(*.f64 c (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/2 binary64)) (/.f64 b (neg.f64 c)))))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c)))
(*.f64 c (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64)))))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/32 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/2 binary64)) (/.f64 b (neg.f64 c))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (sqrt.f64 (*.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -2 binary64)))
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (/.f64 b c)) (neg.f64 c))
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(neg.f64 (*.f64 c (-.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/4 binary64)) (neg.f64 b)) c))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (/.f64 (+.f64 (/.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) #s(literal -1/64 binary64)))) c) b) c)) (neg.f64 c))
(* -4 (* a c))
(*.f64 a (*.f64 c #s(literal -4 binary64)))
(- (pow b 2) (* 4 (* a c)))
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))
(- (pow b 2) (* 4 (* a c)))
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))
(- (pow b 2) (* 4 (* a c)))
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(*.f64 (*.f64 b b) (fma.f64 (*.f64 a c) (/.f64 #s(literal -4 binary64) (*.f64 b b)) #s(literal 1 binary64)))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(*.f64 (*.f64 b b) (fma.f64 (*.f64 a c) (/.f64 #s(literal -4 binary64) (*.f64 b b)) #s(literal 1 binary64)))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(*.f64 (*.f64 b b) (fma.f64 (*.f64 a c) (/.f64 #s(literal -4 binary64) (*.f64 b b)) #s(literal 1 binary64)))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(*.f64 (*.f64 b b) (fma.f64 (*.f64 a c) (/.f64 #s(literal -4 binary64) (*.f64 b b)) #s(literal 1 binary64)))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(*.f64 (*.f64 b b) (fma.f64 (*.f64 a c) (/.f64 #s(literal -4 binary64) (*.f64 b b)) #s(literal 1 binary64)))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(*.f64 (*.f64 b b) (fma.f64 (*.f64 a c) (/.f64 #s(literal -4 binary64) (*.f64 b b)) #s(literal 1 binary64)))
(pow b 2)
(*.f64 b b)
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))
(* -4 (* a c))
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(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(*.f64 (fma.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 c (*.f64 b b)) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 (*.f64 b b) (*.f64 b b)))) #s(literal 1 binary64)) (neg.f64 b))
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(*.f64 b (neg.f64 (fma.f64 #s(literal -4 binary64) (*.f64 (*.f64 a (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 c (*.f64 b b)) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 (*.f64 b b) (*.f64 b b)))) #s(literal 1 binary64)))))
b
(+ b (* -2 (/ (* a c) b)))
(fma.f64 a (*.f64 #s(literal -2 binary64) (/.f64 c b)) b)
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(fma.f64 (*.f64 a #s(literal -2 binary64)) (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))) (/.f64 c b)) b)
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(fma.f64 a (fma.f64 a (fma.f64 (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) (*.f64 a #s(literal -4 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b)))) (*.f64 #s(literal -2 binary64) (/.f64 c b))) b)
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(*.f64 a (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b b) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))))) (sqrt.f64 #s(literal -4 binary64)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(*.f64 a (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (pow.f64 a #s(literal 5 binary64)))))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/32 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b b) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))))) (sqrt.f64 #s(literal -4 binary64))))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(*.f64 a (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 b #s(literal 6 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 7 binary64)))))) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (pow.f64 a #s(literal 5 binary64)))))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/32 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b b) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))))) (sqrt.f64 #s(literal -4 binary64)))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (sqrt.f64 (*.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -2 binary64)))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (neg.f64 a))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (pow.f64 a #s(literal 5 binary64))))) (*.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/64 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/4 binary64))))) (neg.f64 a))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (pow.f64 a #s(literal 5 binary64))))) (*.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/64 binary64)) (fma.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 7 binary64))))) (*.f64 (*.f64 (pow.f64 b #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/512 binary64)))))) (neg.f64 a))
b
(+ b (* -2 (/ (* a c) b)))
(fma.f64 a (*.f64 #s(literal -2 binary64) (/.f64 c b)) b)
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(fma.f64 (*.f64 c #s(literal -2 binary64)) (fma.f64 a (/.f64 (*.f64 a c) (*.f64 b (*.f64 b b))) (/.f64 a b)) b)
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(fma.f64 c (fma.f64 c (fma.f64 (/.f64 (*.f64 a (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))) (*.f64 c #s(literal -4 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -2 binary64)) b)) b)
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(*.f64 c (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(*.f64 c (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c)) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64)))))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/32 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/2 binary64))))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(*.f64 c (fma.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 7 binary64)))))) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c)) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64)))))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/32 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/2 binary64)))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (sqrt.f64 (*.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -2 binary64)))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(*.f64 (neg.f64 c) (fma.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/4 binary64)))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(neg.f64 (*.f64 c (fma.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (fma.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64))))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/4 binary64)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
(neg.f64 (*.f64 c (fma.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64))))))) (fma.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 7 binary64))))) (*.f64 (*.f64 (pow.f64 b #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/512 binary64))))))))

rewrite290.0ms (2.5%)

Memory
-6.5MiB live, 726.2MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 850×lower-fma.f64
4 850×lower-fma.f32
3 904×lower-*.f32
3 896×lower-*.f64
2 332×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01451
02351
17649
253648
3686448
0815844
Stop Event
iter limit
node limit
iter limit
Counts
5 → 440
Calls
Call 1
Inputs
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))
(neg.f64 b)
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))
Outputs
(+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))
(+.f64 b (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))))
(+.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b)
(+.f64 #s(literal 0 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))
(+.f64 (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (neg.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))))
(+.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) #s(literal 0 binary64)) b)
(+.f64 (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) b)
(-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b)
(-.f64 #s(literal 0 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))
(-.f64 (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (/.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))))
(-.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))))
(-.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) #s(literal 0 binary64)) b)
(fma.f64 b #s(literal 1 binary64) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))
(fma.f64 b #s(literal 1 binary64) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))))
(fma.f64 b #s(literal -1 binary64) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))
(fma.f64 b #s(literal -1 binary64) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))))
(fma.f64 b (/.f64 b (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (neg.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))))
(fma.f64 (*.f64 b b) (/.f64 #s(literal -1 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (neg.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))))
(fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) b) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))
(fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) b) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))))
(fma.f64 (*.f64 b (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))
(fma.f64 (*.f64 b (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 b b)) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))))
(fma.f64 #s(literal 1 binary64) b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))
(fma.f64 #s(literal 1 binary64) b (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (neg.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))))
(fma.f64 #s(literal -1 binary64) b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))
(fma.f64 #s(literal -1 binary64) b (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))))
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (neg.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -64 binary64) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) (*.f64 (*.f64 #s(literal 16 binary64) (*.f64 a c)) (*.f64 a c)))) #s(literal 1/2 binary64)) b)
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -64 binary64) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) (*.f64 (*.f64 #s(literal 16 binary64) (*.f64 a c)) (*.f64 a c))))) b)
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(*.f64 (sqrt.f64 (fma.f64 #s(literal -64 binary64) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) (*.f64 (*.f64 #s(literal 16 binary64) (*.f64 a c)) (*.f64 a c)))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (fma.f64 #s(literal -64 binary64) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) (*.f64 (*.f64 #s(literal 16 binary64) (*.f64 a c)) (*.f64 a c))))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal -64 binary64) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (*.f64 b b) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) (*.f64 (*.f64 #s(literal 16 binary64) (*.f64 a c)) (*.f64 a c))))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c))))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c))))))
(*.f64 (pow.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))

eval92.0ms (0.8%)

Memory
6.9MiB live, 278.2MiB allocated
Compiler

Compiled 22 484 to 2 082 computations (90.7% saved)

prune122.0ms (1%)

Memory
1.8MiB live, 368.4MiB allocated
Pruning

26 alts after pruning (26 fresh and 0 done)

PrunedKeptTotal
New56726593
Fresh000
Picked101
Done000
Total56826594
Accuracy
99.3%
Counts
594 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
32.6%
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))) (*.f64 b (*.f64 b b)))) (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))) (*.f64 b b))) (*.f64 #s(literal 2 binary64) a))
32.1%
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) b) (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))) (*.f64 b b))) (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))) b)) (*.f64 #s(literal 2 binary64) a))
33.1%
(/.f64 (-.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) (*.f64 #s(literal 2 binary64) a))
32.6%
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a))
32.5%
(/.f64 (+.f64 (neg.f64 b) (/.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a))
32.7%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (*.f64 #s(literal 2 binary64) a))
32.5%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 c (fma.f64 a #s(literal -4 binary64) (/.f64 (*.f64 b b) c)))))) (*.f64 #s(literal 2 binary64) a))
32.6%
(/.f64 (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (/.f64 #s(literal -1 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))))) (*.f64 #s(literal 2 binary64) a))
95.3%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c))))) (*.f64 (*.f64 b b) (*.f64 b b))) (fma.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 a c)) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (/.f64 #s(literal 20 binary64) (pow.f64 b #s(literal 6 binary64))))))) b)) (*.f64 #s(literal 2 binary64) a))
93.5%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c))))) (*.f64 (*.f64 b b) (*.f64 b b))) (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 a c)))) b)) (*.f64 #s(literal 2 binary64) a))
90.1%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 c #s(literal -2 binary64)) (fma.f64 a (/.f64 (*.f64 a c) (*.f64 b (*.f64 b b))) (/.f64 a b)))) (*.f64 #s(literal 2 binary64) a))
90.4%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 a #s(literal -2 binary64)) (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))) (/.f64 c b)))) (*.f64 #s(literal 2 binary64) a))
93.5%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 c (fma.f64 c (fma.f64 (/.f64 (*.f64 a (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))) (*.f64 c #s(literal -4 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -2 binary64)) b)))) (*.f64 #s(literal 2 binary64) a))
95.3%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 c (fma.f64 c (fma.f64 c (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 c b)) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 a (*.f64 a a))) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -2 binary64)) b)))) (*.f64 #s(literal 2 binary64) a))
80.3%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b))) (*.f64 #s(literal 2 binary64) a))
93.7%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 a (fma.f64 a (fma.f64 (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) (*.f64 a #s(literal -4 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b)))) (*.f64 #s(literal -2 binary64) (/.f64 c b))))) (*.f64 #s(literal 2 binary64) a))
32.1%
(-.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (*.f64 a #s(literal 2 binary64))) (/.f64 b (*.f64 a #s(literal 2 binary64))))
32.6%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))
93.8%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 a (/.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 5 binary64))) (neg.f64 (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) b))))
93.8%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))) (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)) b))
80.6%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b)))
95.6%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) b)) (*.f64 (*.f64 a a) (fma.f64 (*.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 a b)) #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))))))
93.5%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 c (fma.f64 c (fma.f64 (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 c #s(literal -2 binary64)) (/.f64 (neg.f64 a) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1 binary64) b))))
95.3%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 c (fma.f64 c (fma.f64 c (fma.f64 #s(literal -2 binary64) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) c) (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64)))) (*.f64 a b))) (/.f64 (neg.f64 a) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1 binary64) b))))
90.1%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 c (-.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (*.f64 a c) (*.f64 b (*.f64 b b))))))
90.5%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) b)))
Compiler

Compiled 1 750 to 940 computations (46.3% saved)

simplify342.0ms (2.9%)

Memory
-19.5MiB live, 813.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 c (fma.f64 c (fma.f64 (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 c #s(literal -2 binary64)) (/.f64 (neg.f64 a) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1 binary64) b))))
cost-diff128
(fma.f64 (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 c #s(literal -2 binary64)) (/.f64 (neg.f64 a) (*.f64 b (*.f64 b b))))
cost-diff1024
(*.f64 c (fma.f64 c (fma.f64 (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 c #s(literal -2 binary64)) (/.f64 (neg.f64 a) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1 binary64) b)))
cost-diff5184
(pow.f64 b #s(literal 5 binary64))
cost-diff0
(*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b))))
cost-diff0
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))) (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)) b)
cost-diff0
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))) (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)) b))
cost-diff1152
(-.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))) (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c))
cost-diff0
(sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -4 binary64) c))))
cost-diff0
(neg.f64 b)
cost-diff0
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (*.f64 #s(literal 2 binary64) a))
cost-diff128
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -4 binary64) c)))))
cost-diff0
(neg.f64 b)
cost-diff0
(/.f64 c (neg.f64 b))
cost-diff0
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b)))
cost-diff0
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) b)) (*.f64 (*.f64 a a) (fma.f64 (*.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 a b)) #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))))))
cost-diff704
(*.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 a b))
cost-diff960
(+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) b)) (*.f64 (*.f64 a a) (fma.f64 (*.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 a b)) #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64))))))
cost-diff5184
(pow.f64 b #s(literal 5 binary64))
Rules
8 848×lower-fma.f32
8 838×lower-fma.f64
7 580×lower-*.f32
7 544×lower-*.f64
3 148×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
070722
0119681
1242652
2651648
32215633
44644633
08022624
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) b)) (*.f64 (*.f64 a a) (fma.f64 (*.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 a b)) #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))))))
(+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) b)) (*.f64 (*.f64 a a) (fma.f64 (*.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 a b)) #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64))))))
(neg.f64 (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) b))
(/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) b)
(fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)
(*.f64 c c)
c
(/.f64 a (*.f64 b b))
a
(*.f64 b b)
b
(*.f64 (*.f64 a a) (fma.f64 (*.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 a b)) #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))))
(*.f64 a a)
(fma.f64 (*.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 a b)) #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64))))
(*.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 a b))
(/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64)))
(*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64))
(pow.f64 c #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal 20 binary64)
(pow.f64 b #s(literal 6 binary64))
#s(literal 6 binary64)
(/.f64 a b)
#s(literal -1/4 binary64)
(/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))
(*.f64 (*.f64 c (*.f64 c c)) #s(literal -2 binary64))
(*.f64 c (*.f64 c c))
#s(literal -2 binary64)
(pow.f64 b #s(literal 5 binary64))
#s(literal 5 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b)))
(/.f64 c (neg.f64 b))
c
(neg.f64 b)
b
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (*.f64 #s(literal 2 binary64) a))
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -4 binary64) c)))))
(neg.f64 b)
b
(sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -4 binary64) c))))
(fma.f64 b b (*.f64 a (*.f64 #s(literal -4 binary64) c)))
(*.f64 a (*.f64 #s(literal -4 binary64) c))
a
(*.f64 #s(literal -4 binary64) c)
#s(literal -4 binary64)
c
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))) (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)) b))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))) (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)) b)
(-.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))) (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c))
(*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b))))
(*.f64 #s(literal -2 binary64) (*.f64 a a))
#s(literal -2 binary64)
(*.f64 a a)
a
(/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))
(*.f64 c (*.f64 c c))
c
(*.f64 c c)
(*.f64 (*.f64 b b) (*.f64 b b))
(*.f64 b b)
b
(fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)
(/.f64 a (*.f64 b b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 c (fma.f64 c (fma.f64 (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 c #s(literal -2 binary64)) (/.f64 (neg.f64 a) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1 binary64) b))))
(*.f64 c (fma.f64 c (fma.f64 (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 c #s(literal -2 binary64)) (/.f64 (neg.f64 a) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1 binary64) b)))
c
(fma.f64 c (fma.f64 (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 c #s(literal -2 binary64)) (/.f64 (neg.f64 a) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1 binary64) b))
(fma.f64 (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 c #s(literal -2 binary64)) (/.f64 (neg.f64 a) (*.f64 b (*.f64 b b))))
(*.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 c #s(literal -2 binary64))
#s(literal -2 binary64)
(/.f64 (neg.f64 a) (*.f64 b (*.f64 b b)))
(neg.f64 a)
(*.f64 b (*.f64 b b))
(*.f64 b b)
(/.f64 #s(literal -1 binary64) b)
#s(literal -1 binary64)
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) b)) (*.f64 (*.f64 a a) (fma.f64 (*.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 a b)) #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 a (*.f64 a (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64)) (*.f64 a #s(literal -1/4 binary64))) (pow.f64 b #s(literal 7 binary64)))) (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 c c) (*.f64 b b)) (fma.f64 a (*.f64 (*.f64 a #s(literal -2 binary64)) (/.f64 c (*.f64 b b))) (neg.f64 a))) c) b)))
(+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) b)) (*.f64 (*.f64 a a) (fma.f64 (*.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 a b)) #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64))))))
(fma.f64 a (*.f64 a (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64)) (*.f64 a #s(literal -1/4 binary64))) (pow.f64 b #s(literal 7 binary64)))) (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 c c) (*.f64 b b)) (fma.f64 a (*.f64 (*.f64 a #s(literal -2 binary64)) (/.f64 c (*.f64 b b))) (neg.f64 a))) c) b))
(neg.f64 (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) b))
(neg.f64 (/.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c) b))
(/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) b)
(/.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c) b)
(fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)
(fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c)
(*.f64 c c)
c
(/.f64 a (*.f64 b b))
a
(*.f64 b b)
b
(*.f64 (*.f64 a a) (fma.f64 (*.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 a b)) #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))))
(*.f64 (*.f64 a a) (fma.f64 c (/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64)) (*.f64 a #s(literal -1/4 binary64))) (pow.f64 b #s(literal 7 binary64)))))
(*.f64 a a)
(fma.f64 (*.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 a b)) #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64))))
(fma.f64 c (/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64)) (*.f64 a #s(literal -1/4 binary64))) (pow.f64 b #s(literal 7 binary64))))
(*.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 a b))
(*.f64 (pow.f64 c #s(literal 4 binary64)) (*.f64 #s(literal 20 binary64) (/.f64 a (pow.f64 b #s(literal 7 binary64)))))
(/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64)))
(*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64))
(pow.f64 c #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal 20 binary64)
(pow.f64 b #s(literal 6 binary64))
#s(literal 6 binary64)
(/.f64 a b)
#s(literal -1/4 binary64)
(/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))
(/.f64 (*.f64 c (*.f64 c (*.f64 c #s(literal -2 binary64)))) (*.f64 b (*.f64 b (*.f64 b (*.f64 b b)))))
(*.f64 (*.f64 c (*.f64 c c)) #s(literal -2 binary64))
(*.f64 c (*.f64 c (*.f64 c #s(literal -2 binary64))))
(*.f64 c (*.f64 c c))
#s(literal -2 binary64)
(pow.f64 b #s(literal 5 binary64))
(*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))
#s(literal 5 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b)))
(/.f64 c (neg.f64 b))
c
(neg.f64 b)
b
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) b) (*.f64 a #s(literal 2 binary64)))
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -4 binary64) c)))))
(-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) b)
(neg.f64 b)
b
(sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -4 binary64) c))))
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))
(fma.f64 b b (*.f64 a (*.f64 #s(literal -4 binary64) c)))
(fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))
(*.f64 a (*.f64 #s(literal -4 binary64) c))
(*.f64 c (*.f64 a #s(literal -4 binary64)))
a
(*.f64 #s(literal -4 binary64) c)
(*.f64 c #s(literal -4 binary64))
#s(literal -4 binary64)
c
(*.f64 #s(literal 2 binary64) a)
(*.f64 a #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))) (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 c c) (*.f64 b b)) (fma.f64 a (*.f64 (*.f64 a #s(literal -2 binary64)) (/.f64 c (*.f64 b b))) (neg.f64 a))) c) b))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))) (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)) b)
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 c c) (*.f64 b b)) (fma.f64 a (*.f64 (*.f64 a #s(literal -2 binary64)) (/.f64 c (*.f64 b b))) (neg.f64 a))) c) b)
(-.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))) (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c))
(-.f64 (*.f64 (/.f64 (*.f64 c c) (*.f64 b b)) (fma.f64 a (*.f64 (*.f64 a #s(literal -2 binary64)) (/.f64 c (*.f64 b b))) (neg.f64 a))) c)
(*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b))))
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 b (*.f64 b (*.f64 b b))))
(*.f64 #s(literal -2 binary64) (*.f64 a a))
(*.f64 a (*.f64 a #s(literal -2 binary64)))
#s(literal -2 binary64)
(*.f64 a a)
a
(/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))
(/.f64 (*.f64 c (*.f64 c c)) (*.f64 b (*.f64 b (*.f64 b b))))
(*.f64 c (*.f64 c c))
c
(*.f64 c c)
(*.f64 (*.f64 b b) (*.f64 b b))
(*.f64 b (*.f64 b (*.f64 b b)))
(*.f64 b b)
b
(fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)
(fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c)
(/.f64 a (*.f64 b b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 c (fma.f64 c (fma.f64 (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 c #s(literal -2 binary64)) (/.f64 (neg.f64 a) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1 binary64) b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 c c) (*.f64 b b)) (fma.f64 a (*.f64 (*.f64 a #s(literal -2 binary64)) (/.f64 c (*.f64 b b))) (neg.f64 a))) c) b))
(*.f64 c (fma.f64 c (fma.f64 (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 c #s(literal -2 binary64)) (/.f64 (neg.f64 a) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1 binary64) b)))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 c c) (*.f64 b b)) (fma.f64 a (*.f64 (*.f64 a #s(literal -2 binary64)) (/.f64 c (*.f64 b b))) (neg.f64 a))) c) b)
c
(fma.f64 c (fma.f64 (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 c #s(literal -2 binary64)) (/.f64 (neg.f64 a) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1 binary64) b))
(fma.f64 c (*.f64 a (fma.f64 a (/.f64 (*.f64 c #s(literal -2 binary64)) (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b b))))) (/.f64 #s(literal -1 binary64) b))
(fma.f64 (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 c #s(literal -2 binary64)) (/.f64 (neg.f64 a) (*.f64 b (*.f64 b b))))
(*.f64 a (fma.f64 a (/.f64 (*.f64 c #s(literal -2 binary64)) (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b b)))))
(*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64))))
(/.f64 (*.f64 a a) (*.f64 b (*.f64 b (*.f64 b (*.f64 b b)))))
a
(/.f64 a (pow.f64 b #s(literal 5 binary64)))
(/.f64 a (*.f64 b (*.f64 b (*.f64 b (*.f64 b b)))))
(pow.f64 b #s(literal 5 binary64))
(*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))
b
#s(literal 5 binary64)
(*.f64 c #s(literal -2 binary64))
#s(literal -2 binary64)
(/.f64 (neg.f64 a) (*.f64 b (*.f64 b b)))
(neg.f64 (/.f64 a (*.f64 b (*.f64 b b))))
(neg.f64 a)
(*.f64 b (*.f64 b b))
(*.f64 b b)
(/.f64 #s(literal -1 binary64) b)
#s(literal -1 binary64)

localize326.0ms (2.8%)

Memory
32.1MiB live, 870.2MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy99.6%
(/.f64 a (pow.f64 b #s(literal 5 binary64)))
accuracy99.6%
(*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64))))
accuracy99.5%
(*.f64 c (fma.f64 c (fma.f64 (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 c #s(literal -2 binary64)) (/.f64 (neg.f64 a) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1 binary64) b)))
accuracy94.0%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 c (fma.f64 c (fma.f64 (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 c #s(literal -2 binary64)) (/.f64 (neg.f64 a) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1 binary64) b))))
accuracy99.5%
(*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b))))
accuracy99.4%
(/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))
accuracy99.3%
(*.f64 (*.f64 b b) (*.f64 b b))
accuracy94.0%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))) (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)) b))
accuracy100.0%
(fma.f64 b b (*.f64 a (*.f64 #s(literal -4 binary64) c)))
accuracy99.9%
(sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -4 binary64) c))))
accuracy99.6%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (*.f64 #s(literal 2 binary64) a))
accuracy32.8%
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -4 binary64) c)))))
accuracy100.0%
(/.f64 c (neg.f64 b))
accuracy100.0%
(neg.f64 b)
accuracy80.6%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b)))
accuracy99.4%
(/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64)))
accuracy99.4%
(/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))
accuracy99.4%
(*.f64 (*.f64 a a) (fma.f64 (*.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 a b)) #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))))
accuracy95.8%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) b)) (*.f64 (*.f64 a a) (fma.f64 (*.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 a b)) #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))))))
Samples
177.0ms162×1valid
43.0ms94×0valid
Compiler

Compiled 633 to 69 computations (89.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 151.0ms
ival-mult: 52.0ms (34.4% of total)
ival-div: 31.0ms (20.5% of total)
ival-add: 17.0ms (11.3% of total)
adjust: 16.0ms (10.6% of total)
ival-neg: 13.0ms (8.6% of total)
ival-pow: 11.0ms (7.3% of total)
ival-sqrt: 6.0ms (4% of total)
ival-sub: 4.0ms (2.6% of total)
exact: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series114.0ms (1%)

Memory
-18.7MiB live, 335.5MiB allocated
Counts
25 → 756
Calls
Call 1
Inputs
#s(alt (pow.f64 b #s(literal 5 binary64)) (patch (pow.f64 b #s(literal 5 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) b)) (*.f64 (*.f64 a a) (fma.f64 (*.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 a b)) #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))))) (patch (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) b)) (*.f64 (*.f64 a a) (fma.f64 (*.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 a b)) #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 a b)) (patch (*.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 a b)) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) b)) (*.f64 (*.f64 a a) (fma.f64 (*.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 a b)) #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64))))))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) b)) (*.f64 (*.f64 a a) (fma.f64 (*.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 a b)) #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64))))))) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b))) #<representation binary64>) () ())
#s(alt (/.f64 c (neg.f64 b)) (patch (/.f64 c (neg.f64 b)) #<representation binary64>) () ())
#s(alt (neg.f64 b) (patch (neg.f64 b) #<representation binary64>) () ())
#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -4 binary64) c))))) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (patch (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -4 binary64) c)))) #<representation binary64>) () ())
#s(alt (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))) (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)) (patch (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))) (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))) (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)) b)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))) (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)) b)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))) (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)) b) (patch (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))) (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)) b) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))) (patch (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))) #<representation binary64>) () ())
#s(alt (*.f64 c (fma.f64 c (fma.f64 (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 c #s(literal -2 binary64)) (/.f64 (neg.f64 a) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1 binary64) b))) (patch (*.f64 c (fma.f64 c (fma.f64 (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 c #s(literal -2 binary64)) (/.f64 (neg.f64 a) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1 binary64) b))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 c #s(literal -2 binary64)) (/.f64 (neg.f64 a) (*.f64 b (*.f64 b b)))) (patch (fma.f64 (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 c #s(literal -2 binary64)) (/.f64 (neg.f64 a) (*.f64 b (*.f64 b b)))) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 c (fma.f64 c (fma.f64 (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 c #s(literal -2 binary64)) (/.f64 (neg.f64 a) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1 binary64) b)))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 c (fma.f64 c (fma.f64 (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 c #s(literal -2 binary64)) (/.f64 (neg.f64 a) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1 binary64) b)))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 a a) (fma.f64 (*.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 a b)) #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64))))) (patch (*.f64 (*.f64 a a) (fma.f64 (*.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 a b)) #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64))))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64))) (patch (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (patch (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 b b (*.f64 a (*.f64 #s(literal -4 binary64) c))) (patch (fma.f64 b b (*.f64 a (*.f64 #s(literal -4 binary64) c))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 b b) (*.f64 b b)) (patch (*.f64 (*.f64 b b) (*.f64 b b)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b))) (patch (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b))) #<representation binary64>) () ())
#s(alt (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (patch (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 a (pow.f64 b #s(literal 5 binary64))) (patch (/.f64 a (pow.f64 b #s(literal 5 binary64))) #<representation binary64>) () ())
Outputs
#s(alt (pow b 5) (taylor 0 b) (#s(alt (pow.f64 b #s(literal 5 binary64)) (patch (pow.f64 b #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow b 5) (taylor 0 b) (#s(alt (pow.f64 b #s(literal 5 binary64)) (patch (pow.f64 b #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow b 5) (taylor 0 b) (#s(alt (pow.f64 b #s(literal 5 binary64)) (patch (pow.f64 b #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow b 5) (taylor 0 b) (#s(alt (pow.f64 b #s(literal 5 binary64)) (patch (pow.f64 b #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow b 5) (taylor inf b) (#s(alt (pow.f64 b #s(literal 5 binary64)) (patch (pow.f64 b #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow b 5) (taylor inf b) (#s(alt (pow.f64 b #s(literal 5 binary64)) (patch (pow.f64 b #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow b 5) (taylor inf b) (#s(alt (pow.f64 b #s(literal 5 binary64)) (patch (pow.f64 b #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow b 5) (taylor inf b) (#s(alt (pow.f64 b #s(literal 5 binary64)) (patch (pow.f64 b #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow b 5) (taylor -inf b) (#s(alt (pow.f64 b #s(literal 5 binary64)) (patch (pow.f64 b #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow b 5) (taylor -inf b) (#s(alt (pow.f64 b #s(literal 5 binary64)) (patch (pow.f64 b #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow b 5) (taylor -inf b) (#s(alt (pow.f64 b #s(literal 5 binary64)) (patch (pow.f64 b #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow b 5) (taylor -inf b) (#s(alt (pow.f64 b #s(literal 5 binary64)) (patch (pow.f64 b #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ c b)) (taylor 0 c) (#s(alt (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) b)) (*.f64 (*.f64 a a) (fma.f64 (*.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 a b)) #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))))) (patch (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) b)) (*.f64 (*.f64 a a) (fma.f64 (*.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 a b)) #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) (taylor 0 c) (#s(alt (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) b)) (*.f64 (*.f64 a a) (fma.f64 (*.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 a b)) #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))))) (patch (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) b)) (*.f64 (*.f64 a a) (fma.f64 (*.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 a b)) #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (- (* -2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))) (taylor 0 c) (#s(alt (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) b)) (*.f64 (*.f64 a a) (fma.f64 (*.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 a b)) #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))))) (patch (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) b)) (*.f64 (*.f64 a a) (fma.f64 (*.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 a b)) #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (- (* c (+ (* -5 (/ (* (pow a 3) c) (pow b 7))) (* -2 (/ (pow a 2) (pow b 5))))) (/ a (pow b 3)))) (/ 1 b))) (taylor 0 c) (#s(alt (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) b)) (*.f64 (*.f64 a a) (fma.f64 (*.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 a b)) #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))))) (patch (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) b)) (*.f64 (*.f64 a a) (fma.f64 (*.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 a b)) #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (* -5 (/ (* (pow a 3) (pow c 4)) (pow b 7))) (taylor inf c) (#s(alt (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) b)) (*.f64 (*.f64 a a) (fma.f64 (*.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 a b)) #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))))) (patch (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) b)) (*.f64 (*.f64 a a) (fma.f64 (*.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 a b)) #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 4) (+ (* -5 (/ (pow a 3) (pow b 7))) (* -2 (/ (pow a 2) (* (pow b 5) c))))) (taylor inf c) (#s(alt (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) b)) (*.f64 (*.f64 a a) (fma.f64 (*.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 a b)) #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))))) (patch (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) b)) (*.f64 (*.f64 a a) (fma.f64 (*.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 a b)) #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 4) (+ (* -5 (/ (pow a 3) (pow b 7))) (+ (* -2 (/ (pow a 2) (* (pow b 5) c))) (* -1 (/ a (* (pow b 3) (pow c 2))))))) (taylor inf c) (#s(alt (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) b)) (*.f64 (*.f64 a a) (fma.f64 (*.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 a b)) #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))))) (patch (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) b)) (*.f64 (*.f64 a a) (fma.f64 (*.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 a b)) #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 4) (+ (* -5 (/ (pow a 3) (pow b 7))) (+ (* -2 (/ (pow a 2) (* (pow b 5) c))) (* -1 (/ (+ (/ 1 (* b c)) (/ a (pow b 3))) (pow c 2)))))) (taylor inf c) (#s(alt (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) b)) (*.f64 (*.f64 a a) (fma.f64 (*.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 a b)) #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))))) (patch (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) b)) (*.f64 (*.f64 a a) (fma.f64 (*.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 a b)) #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))))) #<representation binary64>) () ())) ())
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#s(alt (* (pow a 2) (+ (* -2 (/ (pow c 3) (pow b 5))) (+ (* -1 (/ c (* (pow a 2) b))) (* -1 (/ (pow c 2) (* a (pow b 3))))))) (taylor inf a) (#s(alt (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))) (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)) b) (patch (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))) (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)) b) #<representation binary64>) () ())) ())
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#s(alt (* (pow a 2) (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1 (/ (pow c 2) (* a (pow b 3)))))) (taylor -inf a) (#s(alt (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))) (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)) b) (patch (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))) (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)) b) #<representation binary64>) () ())) ())
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#s(alt (/ a (pow b 5)) (taylor -inf b) (#s(alt (/.f64 a (pow.f64 b #s(literal 5 binary64))) (patch (/.f64 a (pow.f64 b #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ a (pow b 5)) (taylor -inf b) (#s(alt (/.f64 a (pow.f64 b #s(literal 5 binary64))) (patch (/.f64 a (pow.f64 b #s(literal 5 binary64))) #<representation binary64>) () ())) ())
Calls

189 calls:

TimeVariablePointExpression
6.0ms
c
@0
(* c (+ (* c (+ (* (* a (/ a (pow b 5))) (* c -2)) (/ (neg a) (* b (* b b))))) (/ -1 b)))
5.0ms
a
@-inf
(/ a (pow b 5))
4.0ms
b
@0
(* (/ (* (pow c 4) 20) (pow b 6)) (/ a b))
2.0ms
a
@inf
(+ (neg (/ (+ (* (* c c) (/ a (* b b))) c) b)) (* (* a a) (+ (* (* (/ (* (pow c 4) 20) (pow b 6)) (/ a b)) -1/4) (/ (* (* c (* c c)) -2) (pow b 5)))))
2.0ms
b
@inf
(pow b 5)

simplify464.0ms (3.9%)

Memory
38.7MiB live, 1 231.3MiB allocated
Algorithm
egg-herbie
Rules
12 504×lower-fma.f64
12 504×lower-fma.f32
8 962×lower-*.f64
8 962×lower-*.f32
4 072×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
083413475
1265313271
0862412876
Stop Event
iter limit
node limit
Counts
756 → 753
Calls
Call 1
Inputs
(pow b 5)
(pow b 5)
(pow b 5)
(pow b 5)
(pow b 5)
(pow b 5)
(pow b 5)
(pow b 5)
(pow b 5)
(pow b 5)
(pow b 5)
(pow b 5)
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (- (* -2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))
(* c (- (* c (- (* c (+ (* -5 (/ (* (pow a 3) c) (pow b 7))) (* -2 (/ (pow a 2) (pow b 5))))) (/ a (pow b 3)))) (/ 1 b)))
(* -5 (/ (* (pow a 3) (pow c 4)) (pow b 7)))
(* (pow c 4) (+ (* -5 (/ (pow a 3) (pow b 7))) (* -2 (/ (pow a 2) (* (pow b 5) c)))))
(* (pow c 4) (+ (* -5 (/ (pow a 3) (pow b 7))) (+ (* -2 (/ (pow a 2) (* (pow b 5) c))) (* -1 (/ a (* (pow b 3) (pow c 2)))))))
(* (pow c 4) (+ (* -5 (/ (pow a 3) (pow b 7))) (+ (* -2 (/ (pow a 2) (* (pow b 5) c))) (* -1 (/ (+ (/ 1 (* b c)) (/ a (pow b 3))) (pow c 2))))))
(* -5 (/ (* (pow a 3) (pow c 4)) (pow b 7)))
(* (pow c 4) (+ (* -5 (/ (pow a 3) (pow b 7))) (* -2 (/ (pow a 2) (* (pow b 5) c)))))
(* (pow c 4) (+ (* -5 (/ (pow a 3) (pow b 7))) (* -1 (/ (+ (* 2 (/ (pow a 2) (pow b 5))) (/ a (* (pow b 3) c))) c))))
(* (pow c 4) (+ (* -5 (/ (pow a 3) (pow b 7))) (* -1 (/ (+ (* 2 (/ (pow a 2) (pow b 5))) (+ (/ 1 (* b (pow c 2))) (/ a (* (pow b 3) c)))) c))))
(* -1 (/ c b))
(- (* -1 (/ (* a (pow c 2)) (pow b 3))) (/ c b))
(- (* a (- (* -2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b))
(- (* a (- (* a (+ (* -5 (/ (* a (pow c 4)) (pow b 7))) (* -2 (/ (pow c 3) (pow b 5))))) (/ (pow c 2) (pow b 3)))) (/ c b))
(* -5 (/ (* (pow a 3) (pow c 4)) (pow b 7)))
(* (pow a 3) (+ (* -5 (/ (pow c 4) (pow b 7))) (* -2 (/ (pow c 3) (* a (pow b 5))))))
(* (pow a 3) (+ (* -5 (/ (pow c 4) (pow b 7))) (+ (* -2 (/ (pow c 3) (* a (pow b 5)))) (* -1 (/ (pow c 2) (* (pow a 2) (pow b 3)))))))
(* (pow a 3) (- (+ (* -5 (/ (pow c 4) (pow b 7))) (+ (* -2 (/ (pow c 3) (* a (pow b 5)))) (* -1 (/ c (* (pow a 3) b))))) (/ (pow c 2) (* (pow a 2) (pow b 3)))))
(* -5 (/ (* (pow a 3) (pow c 4)) (pow b 7)))
(* -1 (* (pow a 3) (+ (* 2 (/ (pow c 3) (* a (pow b 5)))) (* 5 (/ (pow c 4) (pow b 7))))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1 (/ (pow c 2) (* a (pow b 3))))) a)) (* 5 (/ (pow c 4) (pow b 7))))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1 (/ (- (/ c (* a b)) (* -1 (/ (pow c 2) (pow b 3)))) a))) a)) (* 5 (/ (pow c 4) (pow b 7))))))
(* -5 (/ (* (pow a 3) (pow c 4)) (pow b 7)))
(/ (+ (* -5 (* (pow a 3) (pow c 4))) (* -2 (* (pow a 2) (* (pow b 2) (pow c 3))))) (pow b 7))
(/ (+ (* -5 (* (pow a 3) (pow c 4))) (* (pow b 2) (+ (* -2 (* (pow a 2) (pow c 3))) (* -1 (* a (* (pow b 2) (pow c 2))))))) (pow b 7))
(/ (+ (* -5 (* (pow a 3) (pow c 4))) (* (pow b 2) (+ (* -2 (* (pow a 2) (pow c 3))) (* (pow b 2) (- (* -1 (* (pow b 2) c)) (* a (pow c 2))))))) (pow b 7))
(* -1 (/ c b))
(/ (- (* -1 (/ (* a (pow c 2)) (pow b 2))) c) b)
(/ (- (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ c (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (- (+ (* -5 (/ (* (pow a 3) (pow c 4)) (pow b 6))) (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4)))) (+ c (/ (* a (pow c 2)) (pow b 2)))) b)
(* -1 (/ c b))
(* -1 (/ (- (/ (* a (pow c 2)) (pow b 2)) (* -1 c)) b))
(* -1 (/ (- (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b))
(* -1 (/ (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (* 5 (/ (* (pow a 3) (pow c 4)) (pow b 6)))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b))
(* 20 (/ (* a (pow c 4)) (pow b 7)))
(* 20 (/ (* a (pow c 4)) (pow b 7)))
(* 20 (/ (* a (pow c 4)) (pow b 7)))
(* 20 (/ (* a (pow c 4)) (pow b 7)))
(* 20 (/ (* a (pow c 4)) (pow b 7)))
(* 20 (/ (* a (pow c 4)) (pow b 7)))
(* 20 (/ (* a (pow c 4)) (pow b 7)))
(* 20 (/ (* a (pow c 4)) (pow b 7)))
(* 20 (/ (* a (pow c 4)) (pow b 7)))
(* 20 (/ (* a (pow c 4)) (pow b 7)))
(* 20 (/ (* a (pow c 4)) (pow b 7)))
(* 20 (/ (* a (pow c 4)) (pow b 7)))
(* 20 (/ (* a (pow c 4)) (pow b 7)))
(* 20 (/ (* a (pow c 4)) (pow b 7)))
(* 20 (/ (* a (pow c 4)) (pow b 7)))
(* 20 (/ (* a (pow c 4)) (pow b 7)))
(* 20 (/ (* a (pow c 4)) (pow b 7)))
(* 20 (/ (* a (pow c 4)) (pow b 7)))
(* 20 (/ (* a (pow c 4)) (pow b 7)))
(* 20 (/ (* a (pow c 4)) (pow b 7)))
(* 20 (/ (* a (pow c 4)) (pow b 7)))
(* 20 (/ (* a (pow c 4)) (pow b 7)))
(* 20 (/ (* a (pow c 4)) (pow b 7)))
(* 20 (/ (* a (pow c 4)) (pow b 7)))
(* 20 (/ (* a (pow c 4)) (pow b 7)))
(* 20 (/ (* a (pow c 4)) (pow b 7)))
(* 20 (/ (* a (pow c 4)) (pow b 7)))
(* 20 (/ (* a (pow c 4)) (pow b 7)))
(* 20 (/ (* a (pow c 4)) (pow b 7)))
(* 20 (/ (* a (pow c 4)) (pow b 7)))
(* 20 (/ (* a (pow c 4)) (pow b 7)))
(* 20 (/ (* a (pow c 4)) (pow b 7)))
(* 20 (/ (* a (pow c 4)) (pow b 7)))
(* 20 (/ (* a (pow c 4)) (pow b 7)))
(* 20 (/ (* a (pow c 4)) (pow b 7)))
(* 20 (/ (* a (pow c 4)) (pow b 7)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))
(* -1 (/ c b))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
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(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))
(* -1 (/ c b))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* (sqrt (* a c)) (sqrt -4))
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(* -2 (/ (* a c) b))
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
(* -2 b)
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -2 (/ (* a c) b))
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -2 (/ (* a c) b))
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c)))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))
(* -1 (/ c b))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* (sqrt (* a c)) (sqrt -4))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))
b
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 b)
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
(* -1 c)
(- (* -1 (/ (* a (pow c 2)) (pow b 2))) c)
(- (* a (- (* -2 (/ (* a (pow c 3)) (pow b 4))) (/ (pow c 2) (pow b 2)))) c)
(- (* a (- (* -2 (/ (* a (pow c 3)) (pow b 4))) (/ (pow c 2) (pow b 2)))) c)
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(* (pow a 2) (+ (* -2 (/ (pow c 3) (pow b 4))) (* -1 (/ (pow c 2) (* a (pow b 2))))))
(* (pow a 2) (- (+ (* -2 (/ (pow c 3) (pow b 4))) (* -1 (/ c (pow a 2)))) (/ (pow c 2) (* a (pow b 2)))))
(* (pow a 2) (- (+ (* -2 (/ (pow c 3) (pow b 4))) (* -1 (/ c (pow a 2)))) (/ (pow c 2) (* a (pow b 2)))))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(* (pow a 2) (+ (* -2 (/ (pow c 3) (pow b 4))) (* -1 (/ (pow c 2) (* a (pow b 2))))))
(* (pow a 2) (+ (* -2 (/ (pow c 3) (pow b 4))) (* -1 (/ (- (/ c a) (* -1 (/ (pow c 2) (pow b 2)))) a))))
(* (pow a 2) (+ (* -2 (/ (pow c 3) (pow b 4))) (* -1 (/ (- (/ c a) (* -1 (/ (pow c 2) (pow b 2)))) a))))
(* -1 c)
(* c (- (* -1 (/ (* a c) (pow b 2))) 1))
(* c (- (* c (- (* -2 (/ (* (pow a 2) c) (pow b 4))) (/ a (pow b 2)))) 1))
(* c (- (* c (- (* -2 (/ (* (pow a 2) c) (pow b 4))) (/ a (pow b 2)))) 1))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(* (pow c 3) (+ (* -2 (/ (pow a 2) (pow b 4))) (* -1 (/ a (* (pow b 2) c)))))
(* (pow c 3) (+ (* -2 (/ (pow a 2) (pow b 4))) (* -1 (/ (+ (/ 1 c) (/ a (pow b 2))) c))))
(* (pow c 3) (+ (* -2 (/ (pow a 2) (pow b 4))) (* -1 (/ (+ (/ 1 c) (/ a (pow b 2))) c))))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(* -1 (* (pow c 3) (+ (* 2 (/ (pow a 2) (pow b 4))) (/ a (* (pow b 2) c)))))
(* -1 (* (pow c 3) (+ (* 2 (/ (pow a 2) (pow b 4))) (+ (/ 1 (pow c 2)) (/ a (* (pow b 2) c))))))
(* -1 (* (pow c 3) (+ (* 2 (/ (pow a 2) (pow b 4))) (+ (/ 1 (pow c 2)) (/ a (* (pow b 2) c))))))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(/ (+ (* -2 (* (pow a 2) (pow c 3))) (* -1 (* a (* (pow b 2) (pow c 2))))) (pow b 4))
(/ (+ (* -2 (* (pow a 2) (pow c 3))) (* (pow b 2) (- (* -1 (* (pow b 2) c)) (* a (pow c 2))))) (pow b 4))
(/ (+ (* -2 (* (pow a 2) (pow c 3))) (* (pow b 2) (- (* -1 (* (pow b 2) c)) (* a (pow c 2))))) (pow b 4))
(* -1 c)
(- (* -1 (/ (* a (pow c 2)) (pow b 2))) c)
(- (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ c (/ (* a (pow c 2)) (pow b 2))))
(- (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ c (/ (* a (pow c 2)) (pow b 2))))
(* -1 c)
(- (* -1 (/ (* a (pow c 2)) (pow b 2))) c)
(- (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ c (/ (* a (pow c 2)) (pow b 2))))
(- (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ c (/ (* a (pow c 2)) (pow b 2))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))
(* -1 (/ c b))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 5)))
(* (pow a 2) (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1 (/ (pow c 2) (* a (pow b 3))))))
(* (pow a 2) (+ (* -2 (/ (pow c 3) (pow b 5))) (+ (* -1 (/ c (* (pow a 2) b))) (* -1 (/ (pow c 2) (* a (pow b 3)))))))
(* (pow a 2) (+ (* -2 (/ (pow c 3) (pow b 5))) (+ (* -1 (/ c (* (pow a 2) b))) (* -1 (/ (pow c 2) (* a (pow b 3)))))))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 5)))
(* (pow a 2) (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1 (/ (pow c 2) (* a (pow b 3))))))
(* (pow a 2) (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1 (/ (+ (/ c (* a b)) (/ (pow c 2) (pow b 3))) a))))
(* (pow a 2) (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1 (/ (+ (/ c (* a b)) (/ (pow c 2) (pow b 3))) a))))
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 5)))
(* (pow c 3) (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1 (/ a (* (pow b 3) c)))))
(* (pow c 3) (- (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1 (/ a (* (pow b 3) c)))) (/ 1 (* b (pow c 2)))))
(* (pow c 3) (- (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1 (/ a (* (pow b 3) c)))) (/ 1 (* b (pow c 2)))))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 5)))
(* -1 (* (pow c 3) (+ (* 2 (/ (pow a 2) (pow b 5))) (/ a (* (pow b 3) c)))))
(* -1 (* (pow c 3) (+ (* -1 (/ (- (* -1 (/ a (pow b 3))) (/ 1 (* b c))) c)) (* 2 (/ (pow a 2) (pow b 5))))))
(* -1 (* (pow c 3) (+ (* -1 (/ (- (* -1 (/ a (pow b 3))) (/ 1 (* b c))) c)) (* 2 (/ (pow a 2) (pow b 5))))))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 5)))
(/ (+ (* -2 (* (pow a 2) (pow c 3))) (* -1 (* a (* (pow b 2) (pow c 2))))) (pow b 5))
(/ (+ (* -2 (* (pow a 2) (pow c 3))) (* (pow b 2) (+ (* -1 (* a (pow c 2))) (* -1 (* (pow b 2) c))))) (pow b 5))
(/ (+ (* -2 (* (pow a 2) (pow c 3))) (* (pow b 2) (+ (* -1 (* a (pow c 2))) (* -1 (* (pow b 2) c))))) (pow b 5))
(* -1 (/ c b))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(* -1 (/ c b))
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 5)))
(* (pow c 3) (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1 (/ a (* (pow b 3) c)))))
(* (pow c 3) (- (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1 (/ a (* (pow b 3) c)))) (/ 1 (* b (pow c 2)))))
(* (pow c 3) (- (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1 (/ a (* (pow b 3) c)))) (/ 1 (* b (pow c 2)))))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 5)))
(* -1 (* (pow c 3) (+ (* 2 (/ (pow a 2) (pow b 5))) (/ a (* (pow b 3) c)))))
(* -1 (* (pow c 3) (+ (* -1 (/ (- (* -1 (/ a (pow b 3))) (/ 1 (* b c))) c)) (* 2 (/ (pow a 2) (pow b 5))))))
(* -1 (* (pow c 3) (+ (* -1 (/ (- (* -1 (/ a (pow b 3))) (/ 1 (* b c))) c)) (* 2 (/ (pow a 2) (pow b 5))))))
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 5)))
(* (pow a 2) (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1 (/ (pow c 2) (* a (pow b 3))))))
(* (pow a 2) (+ (* -2 (/ (pow c 3) (pow b 5))) (+ (* -1 (/ c (* (pow a 2) b))) (* -1 (/ (pow c 2) (* a (pow b 3)))))))
(* (pow a 2) (+ (* -2 (/ (pow c 3) (pow b 5))) (+ (* -1 (/ c (* (pow a 2) b))) (* -1 (/ (pow c 2) (* a (pow b 3)))))))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 5)))
(* (pow a 2) (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1 (/ (pow c 2) (* a (pow b 3))))))
(* (pow a 2) (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1 (/ (+ (/ c (* a b)) (/ (pow c 2) (pow b 3))) a))))
(* (pow a 2) (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1 (/ (+ (/ c (* a b)) (/ (pow c 2) (pow b 3))) a))))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 5)))
(/ (+ (* -2 (* (pow a 2) (pow c 3))) (* -1 (* a (* (pow b 2) (pow c 2))))) (pow b 5))
(/ (+ (* -2 (* (pow a 2) (pow c 3))) (* (pow b 2) (+ (* -1 (* a (pow c 2))) (* -1 (* (pow b 2) c))))) (pow b 5))
(/ (+ (* -2 (* (pow a 2) (pow c 3))) (* (pow b 2) (+ (* -1 (* a (pow c 2))) (* -1 (* (pow b 2) c))))) (pow b 5))
(* -1 (/ c b))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(* -1 (/ c b))
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))
(* -1 (/ a (pow b 3)))
(* a (- (* -2 (/ (* a c) (pow b 5))) (/ 1 (pow b 3))))
(* a (- (* -2 (/ (* a c) (pow b 5))) (/ 1 (pow b 3))))
(* a (- (* -2 (/ (* a c) (pow b 5))) (/ 1 (pow b 3))))
(* -2 (/ (* (pow a 2) c) (pow b 5)))
(* (pow a 2) (- (* -2 (/ c (pow b 5))) (/ 1 (* a (pow b 3)))))
(* (pow a 2) (- (* -2 (/ c (pow b 5))) (/ 1 (* a (pow b 3)))))
(* (pow a 2) (- (* -2 (/ c (pow b 5))) (/ 1 (* a (pow b 3)))))
(* -2 (/ (* (pow a 2) c) (pow b 5)))
(* (pow a 2) (- (* -2 (/ c (pow b 5))) (/ 1 (* a (pow b 3)))))
(* (pow a 2) (- (* -2 (/ c (pow b 5))) (/ 1 (* a (pow b 3)))))
(* (pow a 2) (- (* -2 (/ c (pow b 5))) (/ 1 (* a (pow b 3)))))
(* -2 (/ (* (pow a 2) c) (pow b 5)))
(/ (+ (* -2 (* (pow a 2) c)) (* -1 (* a (pow b 2)))) (pow b 5))
(/ (+ (* -2 (* (pow a 2) c)) (* -1 (* a (pow b 2)))) (pow b 5))
(/ (+ (* -2 (* (pow a 2) c)) (* -1 (* a (pow b 2)))) (pow b 5))
(* -1 (/ a (pow b 3)))
(/ (+ (* -2 (/ (* (pow a 2) c) (pow b 2))) (* -1 a)) (pow b 3))
(/ (+ (* -2 (/ (* (pow a 2) c) (pow b 2))) (* -1 a)) (pow b 3))
(/ (+ (* -2 (/ (* (pow a 2) c) (pow b 2))) (* -1 a)) (pow b 3))
(* -1 (/ a (pow b 3)))
(* -1 (/ (+ a (* 2 (/ (* (pow a 2) c) (pow b 2)))) (pow b 3)))
(* -1 (/ (+ a (* 2 (/ (* (pow a 2) c) (pow b 2)))) (pow b 3)))
(* -1 (/ (+ a (* 2 (/ (* (pow a 2) c) (pow b 2)))) (pow b 3)))
(* -1 (/ a (pow b 3)))
(+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))
(+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))
(+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))
(* -2 (/ (* (pow a 2) c) (pow b 5)))
(* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1 (/ a (* (pow b 3) c)))))
(* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1 (/ a (* (pow b 3) c)))))
(* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1 (/ a (* (pow b 3) c)))))
(* -2 (/ (* (pow a 2) c) (pow b 5)))
(* -1 (* c (+ (* 2 (/ (pow a 2) (pow b 5))) (/ a (* (pow b 3) c)))))
(* -1 (* c (+ (* 2 (/ (pow a 2) (pow b 5))) (/ a (* (pow b 3) c)))))
(* -1 (* c (+ (* 2 (/ (pow a 2) (pow b 5))) (/ a (* (pow b 3) c)))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))
(* -1 (/ c b))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 5)))
(* (pow a 2) (+ (* -5 (/ (* a (pow c 4)) (pow b 7))) (* -2 (/ (pow c 3) (pow b 5)))))
(* (pow a 2) (+ (* -5 (/ (* a (pow c 4)) (pow b 7))) (* -2 (/ (pow c 3) (pow b 5)))))
(* (pow a 2) (+ (* -5 (/ (* a (pow c 4)) (pow b 7))) (* -2 (/ (pow c 3) (pow b 5)))))
(* -5 (/ (* (pow a 3) (pow c 4)) (pow b 7)))
(* (pow a 3) (+ (* -5 (/ (pow c 4) (pow b 7))) (* -2 (/ (pow c 3) (* a (pow b 5))))))
(* (pow a 3) (+ (* -5 (/ (pow c 4) (pow b 7))) (* -2 (/ (pow c 3) (* a (pow b 5))))))
(* (pow a 3) (+ (* -5 (/ (pow c 4) (pow b 7))) (* -2 (/ (pow c 3) (* a (pow b 5))))))
(* -5 (/ (* (pow a 3) (pow c 4)) (pow b 7)))
(* -1 (* (pow a 3) (+ (* 2 (/ (pow c 3) (* a (pow b 5)))) (* 5 (/ (pow c 4) (pow b 7))))))
(* -1 (* (pow a 3) (+ (* 2 (/ (pow c 3) (* a (pow b 5)))) (* 5 (/ (pow c 4) (pow b 7))))))
(* -1 (* (pow a 3) (+ (* 2 (/ (pow c 3) (* a (pow b 5)))) (* 5 (/ (pow c 4) (pow b 7))))))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 5)))
(* (pow c 3) (+ (* -5 (/ (* (pow a 3) c) (pow b 7))) (* -2 (/ (pow a 2) (pow b 5)))))
(* (pow c 3) (+ (* -5 (/ (* (pow a 3) c) (pow b 7))) (* -2 (/ (pow a 2) (pow b 5)))))
(* (pow c 3) (+ (* -5 (/ (* (pow a 3) c) (pow b 7))) (* -2 (/ (pow a 2) (pow b 5)))))
(* -5 (/ (* (pow a 3) (pow c 4)) (pow b 7)))
(* (pow c 4) (+ (* -5 (/ (pow a 3) (pow b 7))) (* -2 (/ (pow a 2) (* (pow b 5) c)))))
(* (pow c 4) (+ (* -5 (/ (pow a 3) (pow b 7))) (* -2 (/ (pow a 2) (* (pow b 5) c)))))
(* (pow c 4) (+ (* -5 (/ (pow a 3) (pow b 7))) (* -2 (/ (pow a 2) (* (pow b 5) c)))))
(* -5 (/ (* (pow a 3) (pow c 4)) (pow b 7)))
(* (pow c 4) (+ (* -5 (/ (pow a 3) (pow b 7))) (* -2 (/ (pow a 2) (* (pow b 5) c)))))
(* (pow c 4) (+ (* -5 (/ (pow a 3) (pow b 7))) (* -2 (/ (pow a 2) (* (pow b 5) c)))))
(* (pow c 4) (+ (* -5 (/ (pow a 3) (pow b 7))) (* -2 (/ (pow a 2) (* (pow b 5) c)))))
(* -5 (/ (* (pow a 3) (pow c 4)) (pow b 7)))
(/ (+ (* -5 (* (pow a 3) (pow c 4))) (* -2 (* (pow a 2) (* (pow b 2) (pow c 3))))) (pow b 7))
(/ (+ (* -5 (* (pow a 3) (pow c 4))) (* -2 (* (pow a 2) (* (pow b 2) (pow c 3))))) (pow b 7))
(/ (+ (* -5 (* (pow a 3) (pow c 4))) (* -2 (* (pow a 2) (* (pow b 2) (pow c 3))))) (pow b 7))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 5)))
(/ (+ (* -5 (/ (* (pow a 3) (pow c 4)) (pow b 2))) (* -2 (* (pow a 2) (pow c 3)))) (pow b 5))
(/ (+ (* -5 (/ (* (pow a 3) (pow c 4)) (pow b 2))) (* -2 (* (pow a 2) (pow c 3)))) (pow b 5))
(/ (+ (* -5 (/ (* (pow a 3) (pow c 4)) (pow b 2))) (* -2 (* (pow a 2) (pow c 3)))) (pow b 5))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 5)))
(* -1 (/ (+ (* 2 (* (pow a 2) (pow c 3))) (* 5 (/ (* (pow a 3) (pow c 4)) (pow b 2)))) (pow b 5)))
(* -1 (/ (+ (* 2 (* (pow a 2) (pow c 3))) (* 5 (/ (* (pow a 3) (pow c 4)) (pow b 2)))) (pow b 5)))
(* -1 (/ (+ (* 2 (* (pow a 2) (pow c 3))) (* 5 (/ (* (pow a 3) (pow c 4)) (pow b 2)))) (pow b 5)))
(* -2 (/ (pow c 3) (pow b 5)))
(* -2 (/ (pow c 3) (pow b 5)))
(* -2 (/ (pow c 3) (pow b 5)))
(* -2 (/ (pow c 3) (pow b 5)))
(* -2 (/ (pow c 3) (pow b 5)))
(* -2 (/ (pow c 3) (pow b 5)))
(* -2 (/ (pow c 3) (pow b 5)))
(* -2 (/ (pow c 3) (pow b 5)))
(* -2 (/ (pow c 3) (pow b 5)))
(* -2 (/ (pow c 3) (pow b 5)))
(* -2 (/ (pow c 3) (pow b 5)))
(* -2 (/ (pow c 3) (pow b 5)))
(* -2 (/ (pow c 3) (pow b 5)))
(* -2 (/ (pow c 3) (pow b 5)))
(* -2 (/ (pow c 3) (pow b 5)))
(* -2 (/ (pow c 3) (pow b 5)))
(* -2 (/ (pow c 3) (pow b 5)))
(* -2 (/ (pow c 3) (pow b 5)))
(* -2 (/ (pow c 3) (pow b 5)))
(* -2 (/ (pow c 3) (pow b 5)))
(* -2 (/ (pow c 3) (pow b 5)))
(* -2 (/ (pow c 3) (pow b 5)))
(* -2 (/ (pow c 3) (pow b 5)))
(* -2 (/ (pow c 3) (pow b 5)))
(* 20 (/ (pow c 4) (pow b 6)))
(* 20 (/ (pow c 4) (pow b 6)))
(* 20 (/ (pow c 4) (pow b 6)))
(* 20 (/ (pow c 4) (pow b 6)))
(* 20 (/ (pow c 4) (pow b 6)))
(* 20 (/ (pow c 4) (pow b 6)))
(* 20 (/ (pow c 4) (pow b 6)))
(* 20 (/ (pow c 4) (pow b 6)))
(* 20 (/ (pow c 4) (pow b 6)))
(* 20 (/ (pow c 4) (pow b 6)))
(* 20 (/ (pow c 4) (pow b 6)))
(* 20 (/ (pow c 4) (pow b 6)))
(* 20 (/ (pow c 4) (pow b 6)))
(* 20 (/ (pow c 4) (pow b 6)))
(* 20 (/ (pow c 4) (pow b 6)))
(* 20 (/ (pow c 4) (pow b 6)))
(* 20 (/ (pow c 4) (pow b 6)))
(* 20 (/ (pow c 4) (pow b 6)))
(* 20 (/ (pow c 4) (pow b 6)))
(* 20 (/ (pow c 4) (pow b 6)))
(* 20 (/ (pow c 4) (pow b 6)))
(* 20 (/ (pow c 4) (pow b 6)))
(* 20 (/ (pow c 4) (pow b 6)))
(* 20 (/ (pow c 4) (pow b 6)))
(* -4 (* a c))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(pow b 2)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(pow b 2)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* -4 (* a c))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* -4 (* a c))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* -4 (* a c))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* -4 (* a c))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(/ (pow c 3) (pow b 4))
(/ (pow c 3) (pow b 4))
(/ (pow c 3) (pow b 4))
(/ (pow c 3) (pow b 4))
(/ (pow c 3) (pow b 4))
(/ (pow c 3) (pow b 4))
(/ (pow c 3) (pow b 4))
(/ (pow c 3) (pow b 4))
(/ (pow c 3) (pow b 4))
(/ (pow c 3) (pow b 4))
(/ (pow c 3) (pow b 4))
(/ (pow c 3) (pow b 4))
(/ (pow c 3) (pow b 4))
(/ (pow c 3) (pow b 4))
(/ (pow c 3) (pow b 4))
(/ (pow c 3) (pow b 4))
(/ (pow c 3) (pow b 4))
(/ (pow c 3) (pow b 4))
(/ (pow c 3) (pow b 4))
(/ (pow c 3) (pow b 4))
(/ (pow c 3) (pow b 4))
(/ (pow c 3) (pow b 4))
(/ (pow c 3) (pow b 4))
(/ (pow c 3) (pow b 4))
(/ (pow a 2) (pow b 5))
(/ (pow a 2) (pow b 5))
(/ (pow a 2) (pow b 5))
(/ (pow a 2) (pow b 5))
(/ (pow a 2) (pow b 5))
(/ (pow a 2) (pow b 5))
(/ (pow a 2) (pow b 5))
(/ (pow a 2) (pow b 5))
(/ (pow a 2) (pow b 5))
(/ (pow a 2) (pow b 5))
(/ (pow a 2) (pow b 5))
(/ (pow a 2) (pow b 5))
(/ (pow a 2) (pow b 5))
(/ (pow a 2) (pow b 5))
(/ (pow a 2) (pow b 5))
(/ (pow a 2) (pow b 5))
(/ (pow a 2) (pow b 5))
(/ (pow a 2) (pow b 5))
(/ (pow a 2) (pow b 5))
(/ (pow a 2) (pow b 5))
(/ (pow a 2) (pow b 5))
(/ (pow a 2) (pow b 5))
(/ (pow a 2) (pow b 5))
(/ (pow a 2) (pow b 5))
(/ a (pow b 5))
(/ a (pow b 5))
(/ a (pow b 5))
(/ a (pow b 5))
(/ a (pow b 5))
(/ a (pow b 5))
(/ a (pow b 5))
(/ a (pow b 5))
(/ a (pow b 5))
(/ a (pow b 5))
(/ a (pow b 5))
(/ a (pow b 5))
(/ a (pow b 5))
(/ a (pow b 5))
(/ a (pow b 5))
(/ a (pow b 5))
(/ a (pow b 5))
(/ a (pow b 5))
(/ a (pow b 5))
(/ a (pow b 5))
(/ a (pow b 5))
(/ a (pow b 5))
(/ a (pow b 5))
(/ a (pow b 5))
Outputs
(pow b 5)
(pow.f64 b #s(literal 5 binary64))
(pow b 5)
(pow.f64 b #s(literal 5 binary64))
(pow b 5)
(pow.f64 b #s(literal 5 binary64))
(pow b 5)
(pow.f64 b #s(literal 5 binary64))
(pow b 5)
(pow.f64 b #s(literal 5 binary64))
(pow b 5)
(pow.f64 b #s(literal 5 binary64))
(pow b 5)
(pow.f64 b #s(literal 5 binary64))
(pow b 5)
(pow.f64 b #s(literal 5 binary64))
(pow b 5)
(pow.f64 b #s(literal 5 binary64))
(pow b 5)
(pow.f64 b #s(literal 5 binary64))
(pow b 5)
(pow.f64 b #s(literal 5 binary64))
(pow b 5)
(pow.f64 b #s(literal 5 binary64))
(* -1 (/ c b))
(/.f64 c (neg.f64 b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(*.f64 c (fma.f64 a (neg.f64 (/.f64 c (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1 binary64) b)))
(* c (- (* c (- (* -2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))
(*.f64 c (fma.f64 c (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) (*.f64 #s(literal -2 binary64) c) (/.f64 (neg.f64 a) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1 binary64) b)))
(* c (- (* c (- (* c (+ (* -5 (/ (* (pow a 3) c) (pow b 7))) (* -2 (/ (pow a 2) (pow b 5))))) (/ a (pow b 3)))) (/ 1 b)))
(*.f64 c (fma.f64 c (-.f64 (*.f64 c (fma.f64 (*.f64 #s(literal -5 binary64) (*.f64 a (*.f64 a a))) (/.f64 c (pow.f64 b #s(literal 7 binary64))) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))))) (/.f64 a (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1 binary64) b)))
(* -5 (/ (* (pow a 3) (pow c 4)) (pow b 7)))
(/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -5 binary64))) (pow.f64 b #s(literal 7 binary64)))
(* (pow c 4) (+ (* -5 (/ (pow a 3) (pow b 7))) (* -2 (/ (pow a 2) (* (pow b 5) c)))))
(*.f64 (pow.f64 c #s(literal 4 binary64)) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 a a) (*.f64 (pow.f64 b #s(literal 5 binary64)) c)) (/.f64 (*.f64 #s(literal -5 binary64) (*.f64 a (*.f64 a a))) (pow.f64 b #s(literal 7 binary64)))))
(* (pow c 4) (+ (* -5 (/ (pow a 3) (pow b 7))) (+ (* -2 (/ (pow a 2) (* (pow b 5) c))) (* -1 (/ a (* (pow b 3) (pow c 2)))))))
(*.f64 (pow.f64 c #s(literal 4 binary64)) (fma.f64 #s(literal -5 binary64) (/.f64 (*.f64 a (*.f64 a a)) (pow.f64 b #s(literal 7 binary64))) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 a a) (*.f64 (pow.f64 b #s(literal 5 binary64)) c)) (/.f64 (neg.f64 a) (*.f64 b (*.f64 b (*.f64 b (*.f64 c c))))))))
(* (pow c 4) (+ (* -5 (/ (pow a 3) (pow b 7))) (+ (* -2 (/ (pow a 2) (* (pow b 5) c))) (* -1 (/ (+ (/ 1 (* b c)) (/ a (pow b 3))) (pow c 2))))))
(*.f64 (pow.f64 c #s(literal 4 binary64)) (-.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 a a) (*.f64 (pow.f64 b #s(literal 5 binary64)) c)) (/.f64 (*.f64 #s(literal -5 binary64) (*.f64 a (*.f64 a a))) (pow.f64 b #s(literal 7 binary64)))) (/.f64 (+.f64 (/.f64 a (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) (*.f64 b c))) (*.f64 c c))))
(* -5 (/ (* (pow a 3) (pow c 4)) (pow b 7)))
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(/.f64 (*.f64 #s(literal 20 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 6 binary64)))
(* 20 (/ (pow c 4) (pow b 6)))
(/.f64 (*.f64 #s(literal 20 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 6 binary64)))
(* 20 (/ (pow c 4) (pow b 6)))
(/.f64 (*.f64 #s(literal 20 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 6 binary64)))
(* 20 (/ (pow c 4) (pow b 6)))
(/.f64 (*.f64 #s(literal 20 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 6 binary64)))
(* 20 (/ (pow c 4) (pow b 6)))
(/.f64 (*.f64 #s(literal 20 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 6 binary64)))
(* 20 (/ (pow c 4) (pow b 6)))
(/.f64 (*.f64 #s(literal 20 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 6 binary64)))
(* 20 (/ (pow c 4) (pow b 6)))
(/.f64 (*.f64 #s(literal 20 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 6 binary64)))
(* 20 (/ (pow c 4) (pow b 6)))
(/.f64 (*.f64 #s(literal 20 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 6 binary64)))
(* 20 (/ (pow c 4) (pow b 6)))
(/.f64 (*.f64 #s(literal 20 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 6 binary64)))
(* 20 (/ (pow c 4) (pow b 6)))
(/.f64 (*.f64 #s(literal 20 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 6 binary64)))
(* 20 (/ (pow c 4) (pow b 6)))
(/.f64 (*.f64 #s(literal 20 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 6 binary64)))
(* 20 (/ (pow c 4) (pow b 6)))
(/.f64 (*.f64 #s(literal 20 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 6 binary64)))
(* 20 (/ (pow c 4) (pow b 6)))
(/.f64 (*.f64 #s(literal 20 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 6 binary64)))
(* 20 (/ (pow c 4) (pow b 6)))
(/.f64 (*.f64 #s(literal 20 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 6 binary64)))
(* 20 (/ (pow c 4) (pow b 6)))
(/.f64 (*.f64 #s(literal 20 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 6 binary64)))
(* 20 (/ (pow c 4) (pow b 6)))
(/.f64 (*.f64 #s(literal 20 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 6 binary64)))
(* 20 (/ (pow c 4) (pow b 6)))
(/.f64 (*.f64 #s(literal 20 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 6 binary64)))
(* 20 (/ (pow c 4) (pow b 6)))
(/.f64 (*.f64 #s(literal 20 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 6 binary64)))
(* -4 (* a c))
(*.f64 c (*.f64 a #s(literal -4 binary64)))
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(*.f64 (*.f64 b b) (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64)))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(*.f64 (*.f64 b b) (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64)))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(*.f64 (*.f64 b b) (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64)))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(*.f64 (*.f64 b b) (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64)))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(*.f64 (*.f64 b b) (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64)))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(*.f64 (*.f64 b b) (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64)))
(pow b 2)
(*.f64 b b)
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))
(* -4 (* a c))
(*.f64 c (*.f64 a #s(literal -4 binary64)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(*.f64 a (fma.f64 c #s(literal -4 binary64) (/.f64 (*.f64 b b) a)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(*.f64 a (fma.f64 c #s(literal -4 binary64) (/.f64 (*.f64 b b) a)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(*.f64 a (fma.f64 c #s(literal -4 binary64) (/.f64 (*.f64 b b) a)))
(* -4 (* a c))
(*.f64 c (*.f64 a #s(literal -4 binary64)))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(*.f64 (neg.f64 a) (-.f64 (*.f64 c #s(literal 4 binary64)) (/.f64 (*.f64 b b) a)))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(*.f64 (neg.f64 a) (-.f64 (*.f64 c #s(literal 4 binary64)) (/.f64 (*.f64 b b) a)))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(*.f64 (neg.f64 a) (-.f64 (*.f64 c #s(literal 4 binary64)) (/.f64 (*.f64 b b) a)))
(pow b 2)
(*.f64 b b)
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))
(* -4 (* a c))
(*.f64 c (*.f64 a #s(literal -4 binary64)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(*.f64 c (fma.f64 a #s(literal -4 binary64) (/.f64 (*.f64 b b) c)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(*.f64 c (fma.f64 a #s(literal -4 binary64) (/.f64 (*.f64 b b) c)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(*.f64 c (fma.f64 a #s(literal -4 binary64) (/.f64 (*.f64 b b) c)))
(* -4 (* a c))
(*.f64 c (*.f64 a #s(literal -4 binary64)))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(*.f64 (neg.f64 c) (fma.f64 a #s(literal 4 binary64) (/.f64 (*.f64 (neg.f64 b) b) c)))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(*.f64 (neg.f64 c) (fma.f64 a #s(literal 4 binary64) (/.f64 (*.f64 (neg.f64 b) b) c)))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(*.f64 (neg.f64 c) (fma.f64 a #s(literal 4 binary64) (/.f64 (*.f64 (neg.f64 b) b) c)))
(pow b 4)
(pow.f64 b #s(literal 4 binary64))
(pow b 4)
(pow.f64 b #s(literal 4 binary64))
(pow b 4)
(pow.f64 b #s(literal 4 binary64))
(pow b 4)
(pow.f64 b #s(literal 4 binary64))
(pow b 4)
(pow.f64 b #s(literal 4 binary64))
(pow b 4)
(pow.f64 b #s(literal 4 binary64))
(pow b 4)
(pow.f64 b #s(literal 4 binary64))
(pow b 4)
(pow.f64 b #s(literal 4 binary64))
(pow b 4)
(pow.f64 b #s(literal 4 binary64))
(pow b 4)
(pow.f64 b #s(literal 4 binary64))
(pow b 4)
(pow.f64 b #s(literal 4 binary64))
(pow b 4)
(pow.f64 b #s(literal 4 binary64))
(/ (pow c 3) (pow b 4))
(/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64)))
(/ (pow c 3) (pow b 4))
(/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64)))
(/ (pow c 3) (pow b 4))
(/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64)))
(/ (pow c 3) (pow b 4))
(/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64)))
(/ (pow c 3) (pow b 4))
(/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64)))
(/ (pow c 3) (pow b 4))
(/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64)))
(/ (pow c 3) (pow b 4))
(/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64)))
(/ (pow c 3) (pow b 4))
(/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64)))
(/ (pow c 3) (pow b 4))
(/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64)))
(/ (pow c 3) (pow b 4))
(/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64)))
(/ (pow c 3) (pow b 4))
(/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64)))
(/ (pow c 3) (pow b 4))
(/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64)))
(/ (pow c 3) (pow b 4))
(/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64)))
(/ (pow c 3) (pow b 4))
(/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64)))
(/ (pow c 3) (pow b 4))
(/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64)))
(/ (pow c 3) (pow b 4))
(/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64)))
(/ (pow c 3) (pow b 4))
(/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64)))
(/ (pow c 3) (pow b 4))
(/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64)))
(/ (pow c 3) (pow b 4))
(/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64)))
(/ (pow c 3) (pow b 4))
(/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64)))
(/ (pow c 3) (pow b 4))
(/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64)))
(/ (pow c 3) (pow b 4))
(/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64)))
(/ (pow c 3) (pow b 4))
(/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64)))
(/ (pow c 3) (pow b 4))
(/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64)))
(/ (pow a 2) (pow b 5))
(/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64)))
(/ (pow a 2) (pow b 5))
(/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64)))
(/ (pow a 2) (pow b 5))
(/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64)))
(/ (pow a 2) (pow b 5))
(/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64)))
(/ (pow a 2) (pow b 5))
(/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64)))
(/ (pow a 2) (pow b 5))
(/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64)))
(/ (pow a 2) (pow b 5))
(/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64)))
(/ (pow a 2) (pow b 5))
(/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64)))
(/ (pow a 2) (pow b 5))
(/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64)))
(/ (pow a 2) (pow b 5))
(/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64)))
(/ (pow a 2) (pow b 5))
(/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64)))
(/ (pow a 2) (pow b 5))
(/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64)))
(/ (pow a 2) (pow b 5))
(/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64)))
(/ (pow a 2) (pow b 5))
(/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64)))
(/ (pow a 2) (pow b 5))
(/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64)))
(/ (pow a 2) (pow b 5))
(/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64)))
(/ (pow a 2) (pow b 5))
(/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64)))
(/ (pow a 2) (pow b 5))
(/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64)))
(/ (pow a 2) (pow b 5))
(/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64)))
(/ (pow a 2) (pow b 5))
(/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64)))
(/ (pow a 2) (pow b 5))
(/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64)))
(/ (pow a 2) (pow b 5))
(/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64)))
(/ (pow a 2) (pow b 5))
(/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64)))
(/ (pow a 2) (pow b 5))
(/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64)))
(/ a (pow b 5))
(/.f64 a (pow.f64 b #s(literal 5 binary64)))
(/ a (pow b 5))
(/.f64 a (pow.f64 b #s(literal 5 binary64)))
(/ a (pow b 5))
(/.f64 a (pow.f64 b #s(literal 5 binary64)))
(/ a (pow b 5))
(/.f64 a (pow.f64 b #s(literal 5 binary64)))
(/ a (pow b 5))
(/.f64 a (pow.f64 b #s(literal 5 binary64)))
(/ a (pow b 5))
(/.f64 a (pow.f64 b #s(literal 5 binary64)))
(/ a (pow b 5))
(/.f64 a (pow.f64 b #s(literal 5 binary64)))
(/ a (pow b 5))
(/.f64 a (pow.f64 b #s(literal 5 binary64)))
(/ a (pow b 5))
(/.f64 a (pow.f64 b #s(literal 5 binary64)))
(/ a (pow b 5))
(/.f64 a (pow.f64 b #s(literal 5 binary64)))
(/ a (pow b 5))
(/.f64 a (pow.f64 b #s(literal 5 binary64)))
(/ a (pow b 5))
(/.f64 a (pow.f64 b #s(literal 5 binary64)))
(/ a (pow b 5))
(/.f64 a (pow.f64 b #s(literal 5 binary64)))
(/ a (pow b 5))
(/.f64 a (pow.f64 b #s(literal 5 binary64)))
(/ a (pow b 5))
(/.f64 a (pow.f64 b #s(literal 5 binary64)))
(/ a (pow b 5))
(/.f64 a (pow.f64 b #s(literal 5 binary64)))
(/ a (pow b 5))
(/.f64 a (pow.f64 b #s(literal 5 binary64)))
(/ a (pow b 5))
(/.f64 a (pow.f64 b #s(literal 5 binary64)))
(/ a (pow b 5))
(/.f64 a (pow.f64 b #s(literal 5 binary64)))
(/ a (pow b 5))
(/.f64 a (pow.f64 b #s(literal 5 binary64)))
(/ a (pow b 5))
(/.f64 a (pow.f64 b #s(literal 5 binary64)))
(/ a (pow b 5))
(/.f64 a (pow.f64 b #s(literal 5 binary64)))
(/ a (pow b 5))
(/.f64 a (pow.f64 b #s(literal 5 binary64)))
(/ a (pow b 5))
(/.f64 a (pow.f64 b #s(literal 5 binary64)))

rewrite345.0ms (2.9%)

Memory
-27.2MiB live, 823.6MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 746×lower-*.f32
4 710×lower-*.f64
4 018×lower-fma.f32
4 008×lower-fma.f64
2 936×lower-pow.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
070497
0119462
1456429
23833421
08349416
Stop Event
iter limit
node limit
iter limit
Counts
25 → 637
Calls
Call 1
Inputs
(pow.f64 b #s(literal 5 binary64))
(+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) b)) (*.f64 (*.f64 a a) (fma.f64 (*.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 a b)) #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64))))))
(*.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 a b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) b)) (*.f64 (*.f64 a a) (fma.f64 (*.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 a b)) #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b)))
(/.f64 c (neg.f64 b))
(neg.f64 b)
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -4 binary64) c)))))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (*.f64 #s(literal 2 binary64) a))
(sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -4 binary64) c))))
(-.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))) (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))) (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)) b))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))) (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)) b)
(*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b))))
(*.f64 c (fma.f64 c (fma.f64 (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 c #s(literal -2 binary64)) (/.f64 (neg.f64 a) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1 binary64) b)))
(fma.f64 (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 c #s(literal -2 binary64)) (/.f64 (neg.f64 a) (*.f64 b (*.f64 b b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 c (fma.f64 c (fma.f64 (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 c #s(literal -2 binary64)) (/.f64 (neg.f64 a) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1 binary64) b))))
(*.f64 (*.f64 a a) (fma.f64 (*.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 a b)) #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))))
(/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))
(/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64)))
(fma.f64 b b (*.f64 a (*.f64 #s(literal -4 binary64) c)))
(*.f64 (*.f64 b b) (*.f64 b b))
(/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))
(*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64))))
(/.f64 a (pow.f64 b #s(literal 5 binary64)))
Outputs
(exp.f64 (*.f64 #s(literal 5 binary64) (log.f64 b)))
(exp.f64 (*.f64 (log.f64 (pow.f64 b #s(literal 5/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 b)) #s(literal 5/2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 b) #s(literal 5/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 b) (*.f64 (log.f64 (neg.f64 b)) #s(literal 3 binary64))))
(exp.f64 (fma.f64 (log.f64 b) #s(literal 5/2 binary64) (*.f64 (log.f64 b) #s(literal 5/2 binary64))))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 b) (*.f64 (log.f64 b) #s(literal 3 binary64))))
(exp.f64 (fma.f64 (log.f64 b) #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) (log.f64 b))))
(exp.f64 (fma.f64 (log.f64 (neg.f64 b)) #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) (log.f64 b))))
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(fma.f64 (pow.f64 (*.f64 (neg.f64 b) #s(literal -1 binary64)) #s(literal 1 binary64)) b (*.f64 c (*.f64 a #s(literal -4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 c (*.f64 a #s(literal 4 binary64))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 4 binary64)))))) (fma.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -64 binary64)) (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (-.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 b b)))) (fma.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -64 binary64)) (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal 4 binary64)))) (*.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 4 binary64)))))))
(/.f64 (fma.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -64 binary64)) (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b)))) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (-.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 b b)))))
(/.f64 (fma.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -64 binary64)) (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b)))) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 c (*.f64 a #s(literal 4 binary64))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 4 binary64)))))))
(/.f64 (fma.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -64 binary64)) (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b)))) (fma.f64 #s(literal 16 binary64) (*.f64 (*.f64 c a) (*.f64 c a)) (-.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 b (*.f64 b (*.f64 c (*.f64 a #s(literal -4 binary64))))))))
(/.f64 (*.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 4 binary64))))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 4 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -64 binary64)) (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b))))) (neg.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 c (*.f64 a #s(literal 4 binary64))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 4 binary64))))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -64 binary64)) (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b))))) (neg.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (-.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 b b))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 4 binary64)))))) (neg.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal 4 binary64))))))
(/.f64 (-.f64 (*.f64 #s(literal 16 binary64) (*.f64 (*.f64 c a) (*.f64 c a))) (*.f64 (*.f64 b b) (*.f64 b b))) (-.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 b b)))
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(pow.f64 (/.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 c (*.f64 a #s(literal 4 binary64))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 4 binary64)))))) (fma.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -64 binary64)) (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (-.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 b b)))) (fma.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -64 binary64)) (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal 4 binary64)))) (*.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 4 binary64)))))) #s(literal -1 binary64))
(*.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))
(*.f64 (fma.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -64 binary64)) (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 c (*.f64 a #s(literal 4 binary64))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 4 binary64))))))))
(*.f64 (fma.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -64 binary64)) (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (-.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 b b))))))
(*.f64 (*.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 4 binary64))))))
(*.f64 (pow.f64 (fma.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -64 binary64)) (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b)))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (-.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 b b))))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fma.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -64 binary64)) (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b)))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 c (*.f64 a #s(literal 4 binary64))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 4 binary64))))))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 4 binary64))))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 4 binary64))))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 b)) #s(literal 2 binary64)))
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(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 b) (*.f64 #s(literal 2 binary64) (log.f64 b))))
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 b b) (*.f64 b b)))
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(pow.f64 (neg.f64 b) #s(literal 4 binary64))
(pow.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1 binary64))
(pow.f64 (*.f64 b (neg.f64 b)) #s(literal 2 binary64))
(*.f64 b (*.f64 b (*.f64 b b)))
(*.f64 (*.f64 b b) (*.f64 b b))
(*.f64 (*.f64 b b) (*.f64 b (neg.f64 b)))
(*.f64 (neg.f64 b) (*.f64 b (*.f64 b b)))
(*.f64 (*.f64 b (*.f64 b b)) b)
(*.f64 (*.f64 b (*.f64 b b)) (neg.f64 b))
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(*.f64 (*.f64 b (neg.f64 b)) (*.f64 b b))
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(*.f64 (pow.f64 (*.f64 (neg.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 b b))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 c (*.f64 c c)))) #s(literal -1 binary64)))
(exp.f64 (-.f64 (*.f64 (log.f64 c) #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 b)) #s(literal 2 binary64))))
(neg.f64 (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b))))
(/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 c (*.f64 c c)))))
(/.f64 (neg.f64 (*.f64 c (*.f64 c c))) (*.f64 (*.f64 b b) (*.f64 b b)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 c (*.f64 c c))))
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(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 b b))))
(/.f64 (/.f64 (*.f64 c (*.f64 c c)) (*.f64 b b)) (*.f64 b b))
(/.f64 (neg.f64 (neg.f64 (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 b b) (*.f64 b b)))
(/.f64 (neg.f64 (/.f64 (*.f64 c (*.f64 c c)) (*.f64 b b))) (*.f64 b (neg.f64 b)))
(/.f64 (/.f64 (*.f64 c (*.f64 c c)) (*.f64 b (*.f64 b b))) b)
(/.f64 (/.f64 (*.f64 c (*.f64 c c)) b) (*.f64 b (*.f64 b b)))
(/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal 1 binary64)) (*.f64 (*.f64 b b) (*.f64 b b)))
(/.f64 (*.f64 (/.f64 c (*.f64 b b)) (*.f64 c c)) (*.f64 b b))
(/.f64 (/.f64 (/.f64 (*.f64 c (*.f64 c c)) (*.f64 b b)) b) b)
(pow.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 c (*.f64 c c))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 c (*.f64 c c))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 b b) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 b b))) #s(literal -1 binary64))
(*.f64 c (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b b))))
(*.f64 (*.f64 c c) (*.f64 c (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 b b) (*.f64 b b)))))
(*.f64 (*.f64 c c) (/.f64 c (*.f64 (*.f64 b b) (*.f64 b b))))
(*.f64 (*.f64 c (*.f64 c c)) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 b b) (*.f64 b b))))
(*.f64 (neg.f64 (*.f64 c (*.f64 c c))) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 b b) (*.f64 b b))))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b))))
(*.f64 (/.f64 c (*.f64 b b)) (/.f64 (*.f64 c c) (*.f64 b b)))
(*.f64 (/.f64 (*.f64 c c) (*.f64 b b)) (/.f64 c (*.f64 b b)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 b b)))
(*.f64 (/.f64 #s(literal 1 binary64) b) (pow.f64 (/.f64 (*.f64 b (*.f64 b b)) (*.f64 c (*.f64 c c))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 b b) (*.f64 b b))) (*.f64 c (*.f64 c c)))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 b b) (*.f64 b b))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 c c))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b b))) (pow.f64 (/.f64 b (*.f64 c (*.f64 c c))) #s(literal -1 binary64)))
(*.f64 (/.f64 c b) (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))))
(*.f64 (/.f64 c b) (pow.f64 (/.f64 (*.f64 b (*.f64 b b)) (*.f64 c c)) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 c (*.f64 c c)) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 b b)))
(*.f64 (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b b))) c)
(*.f64 (/.f64 (*.f64 c c) b) (/.f64 c (*.f64 b (*.f64 b b))))
(*.f64 (/.f64 c (*.f64 b (*.f64 b b))) (/.f64 (*.f64 c c) b))
(*.f64 (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))) (/.f64 c b))
(*.f64 (pow.f64 (/.f64 (*.f64 b (*.f64 b b)) (*.f64 c c)) #s(literal -1 binary64)) (/.f64 c b))
(*.f64 (pow.f64 (/.f64 b (*.f64 c c)) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 b (*.f64 b b)) c) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 b (*.f64 b b)) c) #s(literal -1 binary64)) (pow.f64 (/.f64 b (*.f64 c c)) #s(literal -1 binary64)))
(exp.f64 (fma.f64 (log.f64 a) #s(literal 2 binary64) (neg.f64 (*.f64 #s(literal 5 binary64) (log.f64 b)))))
(exp.f64 (-.f64 (*.f64 (log.f64 a) #s(literal 2 binary64)) (*.f64 #s(literal 5 binary64) (log.f64 b))))
(/.f64 a (/.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))) a))
(/.f64 (*.f64 a a) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))) (*.f64 a a)))
(/.f64 (*.f64 a #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))) a))
(/.f64 (neg.f64 (*.f64 a a)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))
(/.f64 (*.f64 a (neg.f64 a)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))
(/.f64 (*.f64 (neg.f64 a) a) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))
(/.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5/2 binary64))) (pow.f64 b #s(literal 5/2 binary64)))
(pow.f64 (/.f64 a (pow.f64 b #s(literal 5/2 binary64))) #s(literal 2 binary64))
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(*.f64 a (/.f64 a (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))))
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(*.f64 (/.f64 a (pow.f64 b #s(literal 5/2 binary64))) (/.f64 a (pow.f64 b #s(literal 5/2 binary64))))
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(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (/.f64 a (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))))
(neg.f64 (/.f64 a (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))))
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(/.f64 (*.f64 a #s(literal 1 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))
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(pow.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))) a) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))) a) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 a (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))))
(*.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))))
(*.f64 #s(literal -1 binary64) (/.f64 a (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))))
(*.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) a)
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (pow.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -1 binary64)))
(*.f64 (pow.f64 b #s(literal -5/2 binary64)) (pow.f64 (/.f64 (pow.f64 b #s(literal 5/2 binary64)) a) #s(literal -1 binary64)))

eval268.0ms (2.3%)

Memory
15.1MiB live, 643.1MiB allocated
Compiler

Compiled 55 878 to 3 473 computations (93.8% saved)

prune357.0ms (3%)

Memory
-17.6MiB live, 984.1MiB allocated
Pruning

44 alts after pruning (42 fresh and 2 done)

PrunedKeptTotal
New1 420331 453
Fresh12921
Picked325
Done000
Total1 435441 479
Accuracy
99.5%
Counts
1 479 → 44
Alt Table
Click to see full alt table
StatusAccuracyProgram
33.3%
(/.f64 (fma.f64 (pow.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal 1/4 binary64)) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a))
33.8%
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -64 binary64)) (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 c (*.f64 a #s(literal 4 binary64))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 4 binary64))))))) #s(literal 1/2 binary64)) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a))
34.3%
(/.f64 (fma.f64 (sqrt.f64 (*.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 4 binary64)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 4 binary64))))) #s(literal 1/2 binary64)) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a))
32.6%
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))) (*.f64 b (*.f64 b b)))) (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))) (*.f64 b b))) (*.f64 #s(literal 2 binary64) a))
33.1%
(/.f64 (-.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) (*.f64 #s(literal 2 binary64) a))
33.5%
(/.f64 (-.f64 (*.f64 b b) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))))
32.7%
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) b) (*.f64 a #s(literal 2 binary64)))
32.5%
(/.f64 (+.f64 (neg.f64 b) (/.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a))
32.5%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 c (fma.f64 a #s(literal -4 binary64) (/.f64 (*.f64 b b) c)))))) (*.f64 #s(literal 2 binary64) a))
33.5%
(/.f64 (*.f64 (-.f64 (*.f64 b b) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (/.f64 #s(literal 1/2 binary64) a)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
95.3%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c))))) (*.f64 (*.f64 b b) (*.f64 b b))) (fma.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 a c)) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (/.f64 #s(literal 20 binary64) (pow.f64 b #s(literal 6 binary64))))))) b)) (*.f64 #s(literal 2 binary64) a))
93.5%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c))))) (*.f64 (*.f64 b b) (*.f64 b b))) (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 a c)))) b)) (*.f64 #s(literal 2 binary64) a))
90.1%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 c #s(literal -2 binary64)) (fma.f64 a (/.f64 (*.f64 a c) (*.f64 b (*.f64 b b))) (/.f64 a b)))) (*.f64 #s(literal 2 binary64) a))
80.3%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b))) (*.f64 #s(literal 2 binary64) a))
80.3%
(/.f64 #s(approx (+ (neg b) (sqrt (+ (* b b) (* a (* -4 c))))) (/.f64 (*.f64 a (*.f64 #s(literal -2 binary64) c)) b)) (*.f64 #s(literal 2 binary64) a))
90.2%
(/.f64 #s(approx (+ (neg b) (sqrt (+ (* b b) (* a (* -4 c))))) (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)))) b)) (*.f64 #s(literal 2 binary64) a))
32.7%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) b)))
32.1%
(-.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (*.f64 a #s(literal 2 binary64))) (/.f64 b (*.f64 a #s(literal 2 binary64))))
32.7%
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) b))
95.6%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (fma.f64 c (/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 a (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 20 binary64))))) (*.f64 b (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b)))))) (*.f64 a a) (/.f64 (fma.f64 c (/.f64 (*.f64 c a) (*.f64 b b)) c) (neg.f64 b))))
95.4%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (fma.f64 c (/.f64 (*.f64 c a) (*.f64 b b)) c) (/.f64 #s(literal -1 binary64) b) (*.f64 a (*.f64 a (fma.f64 c (/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 a (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 20 binary64))))) (*.f64 b (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b))))))))))
95.6%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (/.f64 (*.f64 a (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 20 binary64)))) (*.f64 b (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b))))) (*.f64 #s(literal -1/4 binary64) (*.f64 a a)) (fma.f64 a (*.f64 a (/.f64 (*.f64 (*.f64 c c) (*.f64 c #s(literal -2 binary64))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (/.f64 (fma.f64 c (/.f64 (*.f64 c a) (*.f64 b b)) c) (neg.f64 b)))))
90.5%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c) (neg.f64 b)))
93.9%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 (-.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 a #s(literal -2 binary64)))) (*.f64 (*.f64 b b) (*.f64 b b))) (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b))) c) b))
93.5%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 a #s(literal -2 binary64)))) (*.f64 (*.f64 b b) (*.f64 b b))) b) (*.f64 b (fma.f64 c (/.f64 (*.f64 c a) (*.f64 b b)) c))) (*.f64 b b)))
93.8%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))) (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)) b))
93.7%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(approx (- (* (* -2 (* a a)) (/ (* c (* c c)) (* (* b b) (* b b)))) (+ (* (* c c) (/ a (* b b))) c)) (*.f64 c (fma.f64 c (fma.f64 #s(literal -2 binary64) (*.f64 a (*.f64 a (/.f64 c (pow.f64 b #s(literal 4 binary64))))) (/.f64 a (*.f64 (neg.f64 b) b))) #s(literal -1 binary64)))) b))
90.4%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(approx (- (* (* -2 (* a a)) (/ (* c (* c c)) (* (* b b) (* b b)))) (+ (* (* c c) (/ a (* b b))) c)) (*.f64 c (fma.f64 a (/.f64 c (*.f64 (neg.f64 b) b)) #s(literal -1 binary64)))) b))
80.5%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (/.f64 (*.f64 b (neg.f64 b)) (+.f64 #s(literal 0 binary64) b))))
80.5%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) b))))
80.6%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b)))
93.6%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 b (-.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 a #s(literal -2 binary64)))) (*.f64 (*.f64 b b) (*.f64 b b))) (fma.f64 c (/.f64 (*.f64 c a) (*.f64 b b)) c)))))
80.3%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 b (neg.f64 c))))
93.8%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 a #s(literal -2 binary64)))) (*.f64 (*.f64 b b) (*.f64 b b))) (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b))) b) (/.f64 c b)))
93.8%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 a #s(literal -2 binary64)))) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b b)))) (/.f64 (fma.f64 c (/.f64 (*.f64 c a) (*.f64 b b)) c) b)))
80.3%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) b) c))
93.5%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 c (fma.f64 c #s(approx (+ (* (* a (/ a (pow b 5))) (* c -2)) (/ (neg a) (* b (* b b)))) (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 c (*.f64 b b)) a) (neg.f64 (*.f64 b (*.f64 b b))))) (/.f64 #s(literal -1 binary64) b))))
90.1%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 c (fma.f64 c #s(approx (+ (* (* a (/ a (pow b 5))) (* c -2)) (/ (neg a) (* b (* b b)))) (/.f64 (neg.f64 a) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1 binary64) b))))
90.4%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))) (/.f64 c b))))
94.9%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (neg (/ (+ (* (* c c) (/ a (* b b))) c) b)) (* (* a a) (+ (* (* (/ (* (pow c 4) 20) (pow b 6)) (/ a b)) -1/4) (/ (* (* c (* c c)) -2) (pow b 5))))) (/.f64 (fma.f64 b (*.f64 b (fma.f64 #s(literal -2 binary64) (*.f64 c (*.f64 c (*.f64 c (*.f64 a a)))) (*.f64 (*.f64 b b) (neg.f64 (fma.f64 c (*.f64 c a) (*.f64 b (*.f64 b c))))))) (*.f64 (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -5 binary64)))) (pow.f64 b #s(literal 7 binary64)))))
95.1%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (neg (/ (+ (* (* c c) (/ a (* b b))) c) b)) (* (* a a) (+ (* (* (/ (* (pow c 4) 20) (pow b 6)) (/ a b)) -1/4) (/ (* (* c (* c c)) -2) (pow b 5))))) (*.f64 (pow.f64 c #s(literal 4 binary64)) (-.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 a a) (*.f64 (pow.f64 b #s(literal 5 binary64)) c)) (/.f64 (*.f64 #s(literal -5 binary64) (*.f64 a (*.f64 a a))) (pow.f64 b #s(literal 7 binary64)))) (/.f64 (+.f64 (/.f64 a (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) (*.f64 b c))) (*.f64 c c))))))
95.2%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (neg (/ (+ (* (* c c) (/ a (* b b))) c) b)) (* (* a a) (+ (* (* (/ (* (pow c 4) 20) (pow b 6)) (/ a b)) -1/4) (/ (* (* c (* c c)) -2) (pow b 5))))) (*.f64 (*.f64 a (*.f64 a a)) (-.f64 (fma.f64 #s(literal -5 binary64) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 7 binary64))) (-.f64 (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) c) (*.f64 (pow.f64 b #s(literal 5 binary64)) a)) (/.f64 c (*.f64 b (*.f64 a (*.f64 a a)))))) (/.f64 (*.f64 c c) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 a a)))))))
95.3%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (neg (/ (+ (* (* c c) (/ a (* b b))) c) b)) (* (* a a) (+ (* (* (/ (* (pow c 4) 20) (pow b 6)) (/ a b)) -1/4) (/ (* (* c (* c c)) -2) (pow b 5))))) (*.f64 c (fma.f64 c (-.f64 (*.f64 c (fma.f64 (*.f64 #s(literal -5 binary64) (*.f64 a (*.f64 a a))) (/.f64 c (pow.f64 b #s(literal 7 binary64))) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))))) (/.f64 a (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1 binary64) b)))))
95.0%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (neg (/ (+ (* (* c c) (/ a (* b b))) c) b)) (* (* a a) (+ (* (* (/ (* (pow c 4) 20) (pow b 6)) (/ a b)) -1/4) (/ (* (* c (* c c)) -2) (pow b 5))))) (neg.f64 (*.f64 (*.f64 a (*.f64 a a)) (-.f64 (/.f64 (*.f64 #s(literal 5 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 7 binary64))) (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) c) (pow.f64 b #s(literal 5 binary64))) (/.f64 (+.f64 (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))) (/.f64 c (*.f64 b a))) a)) a))))))
Compiler

Compiled 2 922 to 1 511 computations (48.3% saved)

simplify285.0ms (2.4%)

Memory
2.2MiB live, 730.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 (fma.f64 c (/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 a (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 20 binary64))))) (*.f64 b (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b)))))) (*.f64 a a) (/.f64 (fma.f64 c (/.f64 (*.f64 c a) (*.f64 b b)) c) (neg.f64 b)))
cost-diff0
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (fma.f64 c (/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 a (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 20 binary64))))) (*.f64 b (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b)))))) (*.f64 a a) (/.f64 (fma.f64 c (/.f64 (*.f64 c a) (*.f64 b b)) c) (neg.f64 b))))
cost-diff320
(*.f64 #s(literal -1/4 binary64) (*.f64 a (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 20 binary64)))))
cost-diff1536
(fma.f64 c (/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 a (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 20 binary64))))) (*.f64 b (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b))))))
cost-diff0
(*.f64 b b)
cost-diff0
(*.f64 (-.f64 (*.f64 b b) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (/.f64 #s(literal 1/2 binary64) a))
cost-diff384
(/.f64 (*.f64 (-.f64 (*.f64 b b) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (/.f64 #s(literal 1/2 binary64) a)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
cost-diff896
(-.f64 (*.f64 b b) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))
cost-diff0
(sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))
cost-diff0
(-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) b)
cost-diff0
(/.f64 #s(literal 1/2 binary64) a)
cost-diff0
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) b))
cost-diff0
(/.f64 #s(literal -1 binary64) b)
cost-diff0
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) b) c))
cost-diff192
(*.f64 (/.f64 #s(literal -1 binary64) b) c)
cost-diff0
(/.f64 (*.f64 a (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 20 binary64)))) (*.f64 b (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b)))))
cost-diff0
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (/.f64 (*.f64 a (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 20 binary64)))) (*.f64 b (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b))))) (*.f64 #s(literal -1/4 binary64) (*.f64 a a)) (fma.f64 a (*.f64 a (/.f64 (*.f64 (*.f64 c c) (*.f64 c #s(literal -2 binary64))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (/.f64 (fma.f64 c (/.f64 (*.f64 c a) (*.f64 b b)) c) (neg.f64 b)))))
cost-diff256
(fma.f64 a (*.f64 a (/.f64 (*.f64 (*.f64 c c) (*.f64 c #s(literal -2 binary64))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (/.f64 (fma.f64 c (/.f64 (*.f64 c a) (*.f64 b b)) c) (neg.f64 b)))
cost-diff2240
(fma.f64 (/.f64 (*.f64 a (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 20 binary64)))) (*.f64 b (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b))))) (*.f64 #s(literal -1/4 binary64) (*.f64 a a)) (fma.f64 a (*.f64 a (/.f64 (*.f64 (*.f64 c c) (*.f64 c #s(literal -2 binary64))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (/.f64 (fma.f64 c (/.f64 (*.f64 c a) (*.f64 b b)) c) (neg.f64 b))))
Rules
7 946×lower-*.f32
7 900×lower-*.f64
5 836×lower-fma.f32
5 824×lower-fma.f64
2 018×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066945
0114857
1251770
2878673
34819648
46482648
08520643
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (/.f64 (*.f64 a (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 20 binary64)))) (*.f64 b (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b))))) (*.f64 #s(literal -1/4 binary64) (*.f64 a a)) (fma.f64 a (*.f64 a (/.f64 (*.f64 (*.f64 c c) (*.f64 c #s(literal -2 binary64))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (/.f64 (fma.f64 c (/.f64 (*.f64 c a) (*.f64 b b)) c) (neg.f64 b)))))
(fma.f64 (/.f64 (*.f64 a (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 20 binary64)))) (*.f64 b (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b))))) (*.f64 #s(literal -1/4 binary64) (*.f64 a a)) (fma.f64 a (*.f64 a (/.f64 (*.f64 (*.f64 c c) (*.f64 c #s(literal -2 binary64))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (/.f64 (fma.f64 c (/.f64 (*.f64 c a) (*.f64 b b)) c) (neg.f64 b))))
(/.f64 (*.f64 a (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 20 binary64)))) (*.f64 b (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b)))))
(*.f64 a (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 20 binary64))))
a
(*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 20 binary64)))
(*.f64 c c)
c
(*.f64 (*.f64 c c) #s(literal 20 binary64))
#s(literal 20 binary64)
(*.f64 b (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b))))
b
(*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b)))
(*.f64 b b)
(*.f64 (*.f64 b b) (*.f64 b b))
(*.f64 #s(literal -1/4 binary64) (*.f64 a a))
#s(literal -1/4 binary64)
(*.f64 a a)
(fma.f64 a (*.f64 a (/.f64 (*.f64 (*.f64 c c) (*.f64 c #s(literal -2 binary64))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (/.f64 (fma.f64 c (/.f64 (*.f64 c a) (*.f64 b b)) c) (neg.f64 b)))
(*.f64 a (/.f64 (*.f64 (*.f64 c c) (*.f64 c #s(literal -2 binary64))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))))
(/.f64 (*.f64 (*.f64 c c) (*.f64 c #s(literal -2 binary64))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))
(*.f64 (*.f64 c c) (*.f64 c #s(literal -2 binary64)))
(*.f64 c #s(literal -2 binary64))
#s(literal -2 binary64)
(*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))
(*.f64 b (*.f64 b b))
(/.f64 (fma.f64 c (/.f64 (*.f64 c a) (*.f64 b b)) c) (neg.f64 b))
(fma.f64 c (/.f64 (*.f64 c a) (*.f64 b b)) c)
(/.f64 (*.f64 c a) (*.f64 b b))
(*.f64 c a)
(neg.f64 b)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) b) c))
(*.f64 (/.f64 #s(literal -1 binary64) b) c)
(/.f64 #s(literal -1 binary64) b)
#s(literal -1 binary64)
b
c
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) b))
(/.f64 #s(literal 1/2 binary64) a)
#s(literal 1/2 binary64)
a
(-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) b)
(sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))
(fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))
b
(*.f64 c (*.f64 a #s(literal -4 binary64)))
c
(*.f64 a #s(literal -4 binary64))
#s(literal -4 binary64)
(/.f64 (*.f64 (-.f64 (*.f64 b b) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (/.f64 #s(literal 1/2 binary64) a)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
(*.f64 (-.f64 (*.f64 b b) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (/.f64 #s(literal 1/2 binary64) a))
(-.f64 (*.f64 b b) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))
(*.f64 b b)
b
(fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))
(*.f64 c (*.f64 a #s(literal -4 binary64)))
c
(*.f64 a #s(literal -4 binary64))
a
#s(literal -4 binary64)
(/.f64 #s(literal 1/2 binary64) a)
#s(literal 1/2 binary64)
(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))
(neg.f64 b)
(sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (fma.f64 c (/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 a (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 20 binary64))))) (*.f64 b (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b)))))) (*.f64 a a) (/.f64 (fma.f64 c (/.f64 (*.f64 c a) (*.f64 b b)) c) (neg.f64 b))))
(fma.f64 (fma.f64 c (/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 a (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 20 binary64))))) (*.f64 b (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b)))))) (*.f64 a a) (/.f64 (fma.f64 c (/.f64 (*.f64 c a) (*.f64 b b)) c) (neg.f64 b)))
(fma.f64 c (/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 a (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 20 binary64))))) (*.f64 b (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b))))))
c
(/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))
(*.f64 c (*.f64 c #s(literal -2 binary64)))
(*.f64 c #s(literal -2 binary64))
#s(literal -2 binary64)
(*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))
(*.f64 b b)
b
(*.f64 b (*.f64 b b))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 a (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 20 binary64))))) (*.f64 b (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b)))))
(*.f64 #s(literal -1/4 binary64) (*.f64 a (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 20 binary64)))))
#s(literal -1/4 binary64)
(*.f64 a (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 20 binary64))))
a
(*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 20 binary64)))
(*.f64 c c)
(*.f64 (*.f64 c c) #s(literal 20 binary64))
#s(literal 20 binary64)
(*.f64 b (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b))))
(*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b)))
(*.f64 (*.f64 b b) (*.f64 b b))
(*.f64 a a)
(/.f64 (fma.f64 c (/.f64 (*.f64 c a) (*.f64 b b)) c) (neg.f64 b))
(fma.f64 c (/.f64 (*.f64 c a) (*.f64 b b)) c)
(/.f64 (*.f64 c a) (*.f64 b b))
(*.f64 c a)
(neg.f64 b)
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (/.f64 (*.f64 a (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 20 binary64)))) (*.f64 b (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b))))) (*.f64 #s(literal -1/4 binary64) (*.f64 a a)) (fma.f64 a (*.f64 a (/.f64 (*.f64 (*.f64 c c) (*.f64 c #s(literal -2 binary64))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (/.f64 (fma.f64 c (/.f64 (*.f64 c a) (*.f64 b b)) c) (neg.f64 b)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (*.f64 (*.f64 a a) (*.f64 (/.f64 (*.f64 c c) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b b)))) (fma.f64 (/.f64 (*.f64 a #s(literal -1/4 binary64)) b) (/.f64 (*.f64 (*.f64 c c) #s(literal 20 binary64)) b) (*.f64 c #s(literal -2 binary64))))) (/.f64 (fma.f64 c (*.f64 c (/.f64 a (*.f64 b b))) c) b)))
(fma.f64 (/.f64 (*.f64 a (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 20 binary64)))) (*.f64 b (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b))))) (*.f64 #s(literal -1/4 binary64) (*.f64 a a)) (fma.f64 a (*.f64 a (/.f64 (*.f64 (*.f64 c c) (*.f64 c #s(literal -2 binary64))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (/.f64 (fma.f64 c (/.f64 (*.f64 c a) (*.f64 b b)) c) (neg.f64 b))))
(-.f64 (*.f64 (*.f64 a a) (*.f64 (/.f64 (*.f64 c c) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b b)))) (fma.f64 (/.f64 (*.f64 a #s(literal -1/4 binary64)) b) (/.f64 (*.f64 (*.f64 c c) #s(literal 20 binary64)) b) (*.f64 c #s(literal -2 binary64))))) (/.f64 (fma.f64 c (*.f64 c (/.f64 a (*.f64 b b))) c) b))
(/.f64 (*.f64 a (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 20 binary64)))) (*.f64 b (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b)))))
(/.f64 (*.f64 c (*.f64 a (*.f64 c (*.f64 (*.f64 c c) #s(literal 20 binary64))))) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 b (*.f64 b b))))
(*.f64 a (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 20 binary64))))
(*.f64 c (*.f64 a (*.f64 c (*.f64 (*.f64 c c) #s(literal 20 binary64)))))
a
(*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 20 binary64)))
(*.f64 c (*.f64 c (*.f64 (*.f64 c c) #s(literal 20 binary64))))
(*.f64 c c)
c
(*.f64 (*.f64 c c) #s(literal 20 binary64))
#s(literal 20 binary64)
(*.f64 b (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b))))
(*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 b (*.f64 b b)))
b
(*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b)))
(*.f64 b b)
(*.f64 (*.f64 b b) (*.f64 b b))
(*.f64 #s(literal -1/4 binary64) (*.f64 a a))
(*.f64 a (*.f64 a #s(literal -1/4 binary64)))
#s(literal -1/4 binary64)
(*.f64 a a)
(fma.f64 a (*.f64 a (/.f64 (*.f64 (*.f64 c c) (*.f64 c #s(literal -2 binary64))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (/.f64 (fma.f64 c (/.f64 (*.f64 c a) (*.f64 b b)) c) (neg.f64 b)))
(*.f64 (/.f64 c b) (-.f64 (*.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 b b)) (/.f64 #s(literal -2 binary64) (*.f64 b b))) (fma.f64 a (/.f64 c (*.f64 b b)) #s(literal 1 binary64))))
(*.f64 a (/.f64 (*.f64 (*.f64 c c) (*.f64 c #s(literal -2 binary64))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))))
(/.f64 (*.f64 a (*.f64 c (*.f64 c (*.f64 c #s(literal -2 binary64))))) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b b))))
(/.f64 (*.f64 (*.f64 c c) (*.f64 c #s(literal -2 binary64))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))
(/.f64 (*.f64 c (*.f64 c (*.f64 c #s(literal -2 binary64)))) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b b))))
(*.f64 (*.f64 c c) (*.f64 c #s(literal -2 binary64)))
(*.f64 c (*.f64 c (*.f64 c #s(literal -2 binary64))))
(*.f64 c #s(literal -2 binary64))
#s(literal -2 binary64)
(*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))
(*.f64 b (*.f64 (*.f64 b b) (*.f64 b b)))
(*.f64 b (*.f64 b b))
(/.f64 (fma.f64 c (/.f64 (*.f64 c a) (*.f64 b b)) c) (neg.f64 b))
(/.f64 (fma.f64 c (*.f64 c (/.f64 a (*.f64 b b))) c) (neg.f64 b))
(fma.f64 c (/.f64 (*.f64 c a) (*.f64 b b)) c)
(fma.f64 c (*.f64 c (/.f64 a (*.f64 b b))) c)
(/.f64 (*.f64 c a) (*.f64 b b))
(*.f64 c (/.f64 a (*.f64 b b)))
(*.f64 c a)
(*.f64 a c)
(neg.f64 b)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) b) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b)))
(*.f64 (/.f64 #s(literal -1 binary64) b) c)
(/.f64 c (neg.f64 b))
(/.f64 #s(literal -1 binary64) b)
#s(literal -1 binary64)
b
c
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) b))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b) a))
(/.f64 #s(literal 1/2 binary64) a)
#s(literal 1/2 binary64)
a
(-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) b)
(-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b)
(sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))
(sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))
(fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))
(fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))
b
(*.f64 c (*.f64 a #s(literal -4 binary64)))
(*.f64 (*.f64 a c) #s(literal -4 binary64))
c
(*.f64 a #s(literal -4 binary64))
#s(literal -4 binary64)
(/.f64 (*.f64 (-.f64 (*.f64 b b) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (/.f64 #s(literal 1/2 binary64) a)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 4 binary64) (*.f64 a c))) (*.f64 a (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))))))
(*.f64 (-.f64 (*.f64 b b) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (/.f64 #s(literal 1/2 binary64) a))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 4 binary64) (*.f64 a c))) a)
(-.f64 (*.f64 b b) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))
(*.f64 #s(literal 4 binary64) (*.f64 a c))
(*.f64 b b)
b
(fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))
(fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))
(*.f64 c (*.f64 a #s(literal -4 binary64)))
(*.f64 (*.f64 a c) #s(literal -4 binary64))
c
(*.f64 a #s(literal -4 binary64))
a
#s(literal -4 binary64)
(/.f64 #s(literal 1/2 binary64) a)
#s(literal 1/2 binary64)
(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))
(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))))
(neg.f64 b)
(sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))
(sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (fma.f64 c (/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 a (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 20 binary64))))) (*.f64 b (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b)))))) (*.f64 a a) (/.f64 (fma.f64 c (/.f64 (*.f64 c a) (*.f64 b b)) c) (neg.f64 b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (*.f64 (*.f64 a a) (*.f64 (/.f64 (*.f64 c c) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b b)))) (fma.f64 (/.f64 (*.f64 a #s(literal -1/4 binary64)) b) (/.f64 (*.f64 (*.f64 c c) #s(literal 20 binary64)) b) (*.f64 c #s(literal -2 binary64))))) (/.f64 (fma.f64 c (*.f64 c (/.f64 a (*.f64 b b))) c) b)))
(fma.f64 (fma.f64 c (/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 a (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 20 binary64))))) (*.f64 b (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b)))))) (*.f64 a a) (/.f64 (fma.f64 c (/.f64 (*.f64 c a) (*.f64 b b)) c) (neg.f64 b)))
(-.f64 (*.f64 (*.f64 a a) (*.f64 (/.f64 (*.f64 c c) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b b)))) (fma.f64 (/.f64 (*.f64 a #s(literal -1/4 binary64)) b) (/.f64 (*.f64 (*.f64 c c) #s(literal 20 binary64)) b) (*.f64 c #s(literal -2 binary64))))) (/.f64 (fma.f64 c (*.f64 c (/.f64 a (*.f64 b b))) c) b))
(fma.f64 c (/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 a (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 20 binary64))))) (*.f64 b (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b))))))
(*.f64 (/.f64 (*.f64 c c) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b b)))) (fma.f64 (/.f64 (*.f64 a #s(literal -1/4 binary64)) b) (/.f64 (*.f64 (*.f64 c c) #s(literal 20 binary64)) b) (*.f64 c #s(literal -2 binary64))))
c
(/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))
(/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b b))))
(*.f64 c (*.f64 c #s(literal -2 binary64)))
(*.f64 c #s(literal -2 binary64))
#s(literal -2 binary64)
(*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))
(*.f64 b (*.f64 (*.f64 b b) (*.f64 b b)))
(*.f64 b b)
b
(*.f64 b (*.f64 b b))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 a (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 20 binary64))))) (*.f64 b (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b)))))
(/.f64 (*.f64 a (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal -5 binary64)))) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 b (*.f64 b b))))
(*.f64 #s(literal -1/4 binary64) (*.f64 a (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 20 binary64)))))
(*.f64 a (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal -5 binary64))))
#s(literal -1/4 binary64)
(*.f64 a (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 20 binary64))))
(*.f64 c (*.f64 a (*.f64 c (*.f64 (*.f64 c c) #s(literal 20 binary64)))))
a
(*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 20 binary64)))
(*.f64 c (*.f64 c (*.f64 (*.f64 c c) #s(literal 20 binary64))))
(*.f64 c c)
(*.f64 (*.f64 c c) #s(literal 20 binary64))
#s(literal 20 binary64)
(*.f64 b (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b))))
(*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 b (*.f64 b b)))
(*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b)))
(*.f64 (*.f64 b b) (*.f64 b b))
(*.f64 a a)
(/.f64 (fma.f64 c (/.f64 (*.f64 c a) (*.f64 b b)) c) (neg.f64 b))
(/.f64 (fma.f64 c (*.f64 c (/.f64 a (*.f64 b b))) c) (neg.f64 b))
(fma.f64 c (/.f64 (*.f64 c a) (*.f64 b b)) c)
(fma.f64 c (*.f64 c (/.f64 a (*.f64 b b))) c)
(/.f64 (*.f64 c a) (*.f64 b b))
(*.f64 c (/.f64 a (*.f64 b b)))
(*.f64 c a)
(*.f64 a c)
(neg.f64 b)

localize328.0ms (2.8%)

Memory
22.8MiB live, 965.9MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy99.4%
(*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b)))
accuracy99.4%
(*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 20 binary64)))
accuracy99.3%
(*.f64 (*.f64 b b) (*.f64 b b))
accuracy95.8%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (fma.f64 c (/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 a (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 20 binary64))))) (*.f64 b (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b)))))) (*.f64 a a) (/.f64 (fma.f64 c (/.f64 (*.f64 c a) (*.f64 b b)) c) (neg.f64 b))))
accuracy99.9%
(/.f64 (*.f64 (-.f64 (*.f64 b b) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (/.f64 #s(literal 1/2 binary64) a)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
accuracy99.9%
(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))
accuracy99.5%
(*.f64 (-.f64 (*.f64 b b) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (/.f64 #s(literal 1/2 binary64) a))
accuracy33.5%
(-.f64 (*.f64 b b) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))
accuracy100.0%
(fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))
accuracy99.9%
(sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))
accuracy99.4%
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) b))
accuracy32.8%
(-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) b)
accuracy100.0%
(/.f64 #s(literal -1 binary64) b)
accuracy99.5%
(*.f64 (/.f64 #s(literal -1 binary64) b) c)
accuracy80.6%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) b) c))
accuracy99.4%
(*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b)))
accuracy99.4%
(*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 20 binary64)))
accuracy99.3%
(*.f64 (*.f64 b b) (*.f64 b b))
accuracy95.8%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (/.f64 (*.f64 a (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 20 binary64)))) (*.f64 b (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b))))) (*.f64 #s(literal -1/4 binary64) (*.f64 a a)) (fma.f64 a (*.f64 a (/.f64 (*.f64 (*.f64 c c) (*.f64 c #s(literal -2 binary64))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (/.f64 (fma.f64 c (/.f64 (*.f64 c a) (*.f64 b b)) c) (neg.f64 b)))))
Samples
133.0ms162×1valid
60.0ms94×0valid
Compiler

Compiled 837 to 68 computations (91.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 139.0ms
ival-mult: 55.0ms (39.6% of total)
ival-div: 38.0ms (27.3% of total)
adjust: 14.0ms (10.1% of total)
ival-add: 12.0ms (8.6% of total)
ival-sub: 10.0ms (7.2% of total)
ival-sqrt: 6.0ms (4.3% 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)

series72.0ms (0.6%)

Memory
-4.8MiB live, 233.3MiB allocated
Counts
24 → 696
Calls
Call 1
Inputs
#s(alt (fma.f64 (/.f64 (*.f64 a (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 20 binary64)))) (*.f64 b (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b))))) (*.f64 #s(literal -1/4 binary64) (*.f64 a a)) (fma.f64 a (*.f64 a (/.f64 (*.f64 (*.f64 c c) (*.f64 c #s(literal -2 binary64))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (/.f64 (fma.f64 c (/.f64 (*.f64 c a) (*.f64 b b)) c) (neg.f64 b)))) (patch (fma.f64 (/.f64 (*.f64 a (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 20 binary64)))) (*.f64 b (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b))))) (*.f64 #s(literal -1/4 binary64) (*.f64 a a)) (fma.f64 a (*.f64 a (/.f64 (*.f64 (*.f64 c c) (*.f64 c #s(literal -2 binary64))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (/.f64 (fma.f64 c (/.f64 (*.f64 c a) (*.f64 b b)) c) (neg.f64 b)))) #<representation binary64>) () ())
#s(alt (fma.f64 a (*.f64 a (/.f64 (*.f64 (*.f64 c c) (*.f64 c #s(literal -2 binary64))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (/.f64 (fma.f64 c (/.f64 (*.f64 c a) (*.f64 b b)) c) (neg.f64 b))) (patch (fma.f64 a (*.f64 a (/.f64 (*.f64 (*.f64 c c) (*.f64 c #s(literal -2 binary64))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (/.f64 (fma.f64 c (/.f64 (*.f64 c a) (*.f64 b b)) c) (neg.f64 b))) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (/.f64 (*.f64 a (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 20 binary64)))) (*.f64 b (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b))))) (*.f64 #s(literal -1/4 binary64) (*.f64 a a)) (fma.f64 a (*.f64 a (/.f64 (*.f64 (*.f64 c c) (*.f64 c #s(literal -2 binary64))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (/.f64 (fma.f64 c (/.f64 (*.f64 c a) (*.f64 b b)) c) (neg.f64 b))))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (/.f64 (*.f64 a (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 20 binary64)))) (*.f64 b (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b))))) (*.f64 #s(literal -1/4 binary64) (*.f64 a a)) (fma.f64 a (*.f64 a (/.f64 (*.f64 (*.f64 c c) (*.f64 c #s(literal -2 binary64))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (/.f64 (fma.f64 c (/.f64 (*.f64 c a) (*.f64 b b)) c) (neg.f64 b))))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 a (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 20 binary64)))) (*.f64 b (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b))))) (patch (/.f64 (*.f64 a (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 20 binary64)))) (*.f64 b (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b))))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal -1 binary64) b) c) (patch (*.f64 (/.f64 #s(literal -1 binary64) b) c) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) b) c)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) b) c)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) b) (patch (/.f64 #s(literal -1 binary64) b) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) b)) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) b)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/2 binary64) a) (patch (/.f64 #s(literal 1/2 binary64) a) #<representation binary64>) () ())
#s(alt (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) b) (patch (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) b) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (patch (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) #<representation binary64>) () ())
#s(alt (-.f64 (*.f64 b b) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (patch (-.f64 (*.f64 b b) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (-.f64 (*.f64 b b) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (/.f64 #s(literal 1/2 binary64) a)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (patch (/.f64 (*.f64 (-.f64 (*.f64 b b) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (/.f64 #s(literal 1/2 binary64) a)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 (*.f64 b b) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (/.f64 #s(literal 1/2 binary64) a)) (patch (*.f64 (-.f64 (*.f64 b b) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (/.f64 #s(literal 1/2 binary64) a)) #<representation binary64>) () ())
#s(alt (*.f64 b b) (patch (*.f64 b b) #<representation binary64>) () ())
#s(alt (fma.f64 c (/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 a (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 20 binary64))))) (*.f64 b (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b)))))) (patch (fma.f64 c (/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 a (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 20 binary64))))) (*.f64 b (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b)))))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal -1/4 binary64) (*.f64 a (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 20 binary64))))) (patch (*.f64 #s(literal -1/4 binary64) (*.f64 a (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 20 binary64))))) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (fma.f64 c (/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 a (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 20 binary64))))) (*.f64 b (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b)))))) (*.f64 a a) (/.f64 (fma.f64 c (/.f64 (*.f64 c a) (*.f64 b b)) c) (neg.f64 b)))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (fma.f64 c (/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 a (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 20 binary64))))) (*.f64 b (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b)))))) (*.f64 a a) (/.f64 (fma.f64 c (/.f64 (*.f64 c a) (*.f64 b b)) c) (neg.f64 b)))) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 c (/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 a (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 20 binary64))))) (*.f64 b (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b)))))) (*.f64 a a) (/.f64 (fma.f64 c (/.f64 (*.f64 c a) (*.f64 b b)) c) (neg.f64 b))) (patch (fma.f64 (fma.f64 c (/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 a (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 20 binary64))))) (*.f64 b (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b)))))) (*.f64 a a) (/.f64 (fma.f64 c (/.f64 (*.f64 c a) (*.f64 b b)) c) (neg.f64 b))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 b b) (*.f64 b b)) (patch (*.f64 (*.f64 b b) (*.f64 b b)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 20 binary64))) (patch (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 20 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b))) (patch (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b))) #<representation binary64>) () ())
#s(alt (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (patch (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) #<representation binary64>) () ())
#s(alt (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (patch (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) #<representation binary64>) () ())
Outputs
#s(alt (* -1 (/ c b)) (taylor 0 a) (#s(alt (fma.f64 (/.f64 (*.f64 a (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 20 binary64)))) (*.f64 b (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b))))) (*.f64 #s(literal -1/4 binary64) (*.f64 a a)) (fma.f64 a (*.f64 a (/.f64 (*.f64 (*.f64 c c) (*.f64 c #s(literal -2 binary64))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (/.f64 (fma.f64 c (/.f64 (*.f64 c a) (*.f64 b b)) c) (neg.f64 b)))) (patch (fma.f64 (/.f64 (*.f64 a (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 20 binary64)))) (*.f64 b (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b))))) (*.f64 #s(literal -1/4 binary64) (*.f64 a a)) (fma.f64 a (*.f64 a (/.f64 (*.f64 (*.f64 c c) (*.f64 c #s(literal -2 binary64))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (/.f64 (fma.f64 c (/.f64 (*.f64 c a) (*.f64 b b)) c) (neg.f64 b)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) (taylor 0 a) (#s(alt (fma.f64 (/.f64 (*.f64 a (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 20 binary64)))) (*.f64 b (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b))))) (*.f64 #s(literal -1/4 binary64) (*.f64 a a)) (fma.f64 a (*.f64 a (/.f64 (*.f64 (*.f64 c c) (*.f64 c #s(literal -2 binary64))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (/.f64 (fma.f64 c (/.f64 (*.f64 c a) (*.f64 b b)) c) (neg.f64 b)))) (patch (fma.f64 (/.f64 (*.f64 a (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 20 binary64)))) (*.f64 b (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b))))) (*.f64 #s(literal -1/4 binary64) (*.f64 a a)) (fma.f64 a (*.f64 a (/.f64 (*.f64 (*.f64 c c) (*.f64 c #s(literal -2 binary64))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (/.f64 (fma.f64 c (/.f64 (*.f64 c a) (*.f64 b b)) c) (neg.f64 b)))) #<representation binary64>) () ())) ())
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#s(alt (+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -5 (/ (* a (pow c 4)) (pow b 7))) (* -2 (/ (pow c 3) (pow b 5)))))))) (taylor 0 a) (#s(alt (fma.f64 (/.f64 (*.f64 a (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 20 binary64)))) (*.f64 b (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b))))) (*.f64 #s(literal -1/4 binary64) (*.f64 a a)) (fma.f64 a (*.f64 a (/.f64 (*.f64 (*.f64 c c) (*.f64 c #s(literal -2 binary64))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (/.f64 (fma.f64 c (/.f64 (*.f64 c a) (*.f64 b b)) c) (neg.f64 b)))) (patch (fma.f64 (/.f64 (*.f64 a (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 20 binary64)))) (*.f64 b (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b))))) (*.f64 #s(literal -1/4 binary64) (*.f64 a a)) (fma.f64 a (*.f64 a (/.f64 (*.f64 (*.f64 c c) (*.f64 c #s(literal -2 binary64))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (/.f64 (fma.f64 c (/.f64 (*.f64 c a) (*.f64 b b)) c) (neg.f64 b)))) #<representation binary64>) () ())) ())
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#s(alt (- (* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) (* 2 b)) (taylor 0 a) (#s(alt (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (patch (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (- (* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) (* 2 b)) (taylor 0 a) (#s(alt (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (patch (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (* a c)) (sqrt -4))) (taylor inf a) (#s(alt (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (patch (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) (taylor inf a) (#s(alt (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (patch (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (* a (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))) (taylor inf a) (#s(alt (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (patch (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (* a (- (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))) (taylor inf a) (#s(alt (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (patch (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (sqrt (* a c)) (sqrt -1))) (taylor -inf a) (#s(alt (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (patch (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (/ b a) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) (taylor -inf a) (#s(alt (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (patch (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) (taylor -inf a) (#s(alt (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (patch (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) (taylor -inf a) (#s(alt (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (patch (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) #<representation binary64>) () ())) ())
Calls

174 calls:

TimeVariablePointExpression
2.0ms
c
@-inf
(/ (* (- (* b b) (+ (* b b) (* c (* a -4)))) (/ 1/2 a)) (- (neg b) (sqrt (+ (* b b) (* c (* a -4))))))
2.0ms
b
@-inf
(- (neg b) (sqrt (+ (* b b) (* c (* a -4)))))
2.0ms
b
@-inf
(+ (* (/ (* a (* (* c c) (* (* c c) 20))) (* b (* (* b b) (* (* b b) (* b b))))) (* -1/4 (* a a))) (+ (* a (* a (/ (* (* c c) (* c -2)) (* (* b b) (* b (* b b)))))) (/ (+ (* c (/ (* c a) (* b b))) c) (neg b))))
2.0ms
a
@inf
(+ (* (/ (* a (* (* c c) (* (* c c) 20))) (* b (* (* b b) (* (* b b) (* b b))))) (* -1/4 (* a a))) (+ (* a (* a (/ (* (* c c) (* c -2)) (* (* b b) (* b (* b b)))))) (/ (+ (* c (/ (* c a) (* b b))) c) (neg b))))
1.0ms
a
@inf
(/ (* (- (* b b) (+ (* b b) (* c (* a -4)))) (/ 1/2 a)) (- (neg b) (sqrt (+ (* b b) (* c (* a -4))))))

simplify428.0ms (3.6%)

Memory
-3.5MiB live, 1 038.3MiB allocated
Algorithm
egg-herbie
Rules
8 470×lower-fma.f64
8 470×lower-fma.f32
6 648×lower-*.f64
6 648×lower-*.f32
5 640×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0106512616
1352212308
0808211879
Stop Event
iter limit
node limit
Counts
696 → 693
Calls
Call 1
Inputs
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -5 (/ (* a (pow c 4)) (pow b 7))) (* -2 (/ (pow c 3) (pow b 5))))))))
(* -5 (/ (* (pow a 3) (pow c 4)) (pow b 7)))
(* (pow a 3) (+ (* -5 (/ (pow c 4) (pow b 7))) (* -2 (/ (pow c 3) (* a (pow b 5))))))
(* (pow a 3) (+ (* -5 (/ (pow c 4) (pow b 7))) (+ (* -2 (/ (pow c 3) (* a (pow b 5)))) (* -1 (/ (pow c 2) (* (pow a 2) (pow b 3)))))))
(* (pow a 3) (+ (* -5 (/ (pow c 4) (pow b 7))) (+ (* -2 (/ (pow c 3) (* a (pow b 5)))) (+ (* -1 (/ c (* (pow a 3) b))) (* -1 (/ (pow c 2) (* (pow a 2) (pow b 3))))))))
(* -5 (/ (* (pow a 3) (pow c 4)) (pow b 7)))
(* -1 (* (pow a 3) (+ (* 2 (/ (pow c 3) (* a (pow b 5)))) (* 5 (/ (pow c 4) (pow b 7))))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1 (/ (pow c 2) (* a (pow b 3))))) a)) (* 5 (/ (pow c 4) (pow b 7))))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1 (/ (+ (/ c (* a b)) (/ (pow c 2) (pow b 3))) a))) a)) (* 5 (/ (pow c 4) (pow b 7))))))
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -5 (/ (* (pow a 3) c) (pow b 7))) (* -2 (/ (pow a 2) (pow b 5))))))) (/ 1 b)))
(* -5 (/ (* (pow a 3) (pow c 4)) (pow b 7)))
(* (pow c 4) (+ (* -5 (/ (pow a 3) (pow b 7))) (* -2 (/ (pow a 2) (* (pow b 5) c)))))
(* (pow c 4) (+ (* -5 (/ (pow a 3) (pow b 7))) (+ (* -2 (/ (pow a 2) (* (pow b 5) c))) (* -1 (/ a (* (pow b 3) (pow c 2)))))))
(* (pow c 4) (- (+ (* -5 (/ (pow a 3) (pow b 7))) (+ (* -2 (/ (pow a 2) (* (pow b 5) c))) (* -1 (/ a (* (pow b 3) (pow c 2)))))) (/ 1 (* b (pow c 3)))))
(* -5 (/ (* (pow a 3) (pow c 4)) (pow b 7)))
(* (pow c 4) (+ (* -5 (/ (pow a 3) (pow b 7))) (* -2 (/ (pow a 2) (* (pow b 5) c)))))
(* (pow c 4) (+ (* -5 (/ (pow a 3) (pow b 7))) (* -1 (/ (+ (* 2 (/ (pow a 2) (pow b 5))) (/ a (* (pow b 3) c))) c))))
(* (pow c 4) (+ (* -5 (/ (pow a 3) (pow b 7))) (* -1 (/ (+ (* -1 (/ (- (* -1 (/ a (pow b 3))) (/ 1 (* b c))) c)) (* 2 (/ (pow a 2) (pow b 5)))) c))))
(* -5 (/ (* (pow a 3) (pow c 4)) (pow b 7)))
(/ (+ (* -5 (* (pow a 3) (pow c 4))) (* -2 (* (pow a 2) (* (pow b 2) (pow c 3))))) (pow b 7))
(/ (+ (* -5 (* (pow a 3) (pow c 4))) (* (pow b 2) (+ (* -2 (* (pow a 2) (pow c 3))) (* -1 (* a (* (pow b 2) (pow c 2))))))) (pow b 7))
(/ (+ (* -5 (* (pow a 3) (pow c 4))) (* (pow b 2) (+ (* -2 (* (pow a 2) (pow c 3))) (* (pow b 2) (+ (* -1 (* a (pow c 2))) (* -1 (* (pow b 2) c))))))) (pow b 7))
(* -1 (/ c b))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -5 (/ (* (pow a 3) (pow c 4)) (pow b 6))) (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))))) b)
(* -1 (/ c b))
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* 5 (/ (* (pow a 3) (pow c 4)) (pow b 6))) (/ (* a (pow c 2)) (pow b 2))))) b))
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 5)))
(* (pow a 2) (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1 (/ (pow c 2) (* a (pow b 3))))))
(* (pow a 2) (+ (* -2 (/ (pow c 3) (pow b 5))) (+ (* -1 (/ c (* (pow a 2) b))) (* -1 (/ (pow c 2) (* a (pow b 3)))))))
(* (pow a 2) (+ (* -2 (/ (pow c 3) (pow b 5))) (+ (* -1 (/ c (* (pow a 2) b))) (* -1 (/ (pow c 2) (* a (pow b 3)))))))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 5)))
(* (pow a 2) (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1 (/ (pow c 2) (* a (pow b 3))))))
(* (pow a 2) (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1 (/ (+ (/ c (* a b)) (/ (pow c 2) (pow b 3))) a))))
(* (pow a 2) (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1 (/ (+ (/ c (* a b)) (/ (pow c 2) (pow b 3))) a))))
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 5)))
(* (pow c 3) (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1 (/ a (* (pow b 3) c)))))
(* (pow c 3) (- (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1 (/ a (* (pow b 3) c)))) (/ 1 (* b (pow c 2)))))
(* (pow c 3) (- (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1 (/ a (* (pow b 3) c)))) (/ 1 (* b (pow c 2)))))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 5)))
(* -1 (* (pow c 3) (+ (* 2 (/ (pow a 2) (pow b 5))) (/ a (* (pow b 3) c)))))
(* -1 (* (pow c 3) (+ (* -1 (/ (- (* -1 (/ a (pow b 3))) (/ 1 (* b c))) c)) (* 2 (/ (pow a 2) (pow b 5))))))
(* -1 (* (pow c 3) (+ (* -1 (/ (- (* -1 (/ a (pow b 3))) (/ 1 (* b c))) c)) (* 2 (/ (pow a 2) (pow b 5))))))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 5)))
(/ (+ (* -2 (* (pow a 2) (pow c 3))) (* -1 (* a (* (pow b 2) (pow c 2))))) (pow b 5))
(/ (+ (* -2 (* (pow a 2) (pow c 3))) (* (pow b 2) (+ (* -1 (* a (pow c 2))) (* -1 (* (pow b 2) c))))) (pow b 5))
(/ (+ (* -2 (* (pow a 2) (pow c 3))) (* (pow b 2) (+ (* -1 (* a (pow c 2))) (* -1 (* (pow b 2) c))))) (pow b 5))
(* -1 (/ c b))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(* -1 (/ c b))
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))
(* -1 (/ c b))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* 20 (/ (* a (pow c 4)) (pow b 7)))
(* 20 (/ (* a (pow c 4)) (pow b 7)))
(* 20 (/ (* a (pow c 4)) (pow b 7)))
(* 20 (/ (* a (pow c 4)) (pow b 7)))
(* 20 (/ (* a (pow c 4)) (pow b 7)))
(* 20 (/ (* a (pow c 4)) (pow b 7)))
(* 20 (/ (* a (pow c 4)) (pow b 7)))
(* 20 (/ (* a (pow c 4)) (pow b 7)))
(* 20 (/ (* a (pow c 4)) (pow b 7)))
(* 20 (/ (* a (pow c 4)) (pow b 7)))
(* 20 (/ (* a (pow c 4)) (pow b 7)))
(* 20 (/ (* a (pow c 4)) (pow b 7)))
(* 20 (/ (* a (pow c 4)) (pow b 7)))
(* 20 (/ (* a (pow c 4)) (pow b 7)))
(* 20 (/ (* a (pow c 4)) (pow b 7)))
(* 20 (/ (* a (pow c 4)) (pow b 7)))
(* 20 (/ (* a (pow c 4)) (pow b 7)))
(* 20 (/ (* a (pow c 4)) (pow b 7)))
(* 20 (/ (* a (pow c 4)) (pow b 7)))
(* 20 (/ (* a (pow c 4)) (pow b 7)))
(* 20 (/ (* a (pow c 4)) (pow b 7)))
(* 20 (/ (* a (pow c 4)) (pow b 7)))
(* 20 (/ (* a (pow c 4)) (pow b 7)))
(* 20 (/ (* a (pow c 4)) (pow b 7)))
(* 20 (/ (* a (pow c 4)) (pow b 7)))
(* 20 (/ (* a (pow c 4)) (pow b 7)))
(* 20 (/ (* a (pow c 4)) (pow b 7)))
(* 20 (/ (* a (pow c 4)) (pow b 7)))
(* 20 (/ (* a (pow c 4)) (pow b 7)))
(* 20 (/ (* a (pow c 4)) (pow b 7)))
(* 20 (/ (* a (pow c 4)) (pow b 7)))
(* 20 (/ (* a (pow c 4)) (pow b 7)))
(* 20 (/ (* a (pow c 4)) (pow b 7)))
(* 20 (/ (* a (pow c 4)) (pow b 7)))
(* 20 (/ (* a (pow c 4)) (pow b 7)))
(* 20 (/ (* a (pow c 4)) (pow b 7)))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))
(* -1 (/ c b))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(/ -1 b)
(/ -1 b)
(/ -1 b)
(/ -1 b)
(/ -1 b)
(/ -1 b)
(/ -1 b)
(/ -1 b)
(/ -1 b)
(/ -1 b)
(/ -1 b)
(/ -1 b)
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))
(* -1 (/ c b))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(* (sqrt (* a c)) (sqrt -4))
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(* -2 (/ (* a c) b))
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
(* -2 b)
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -2 (/ (* a c) b))
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c)))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -2 (/ (* a c) b))
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* (sqrt (* a c)) (sqrt -4))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))
b
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 b)
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
(* 4 (* a c))
(* 4 (* a c))
(* 4 (* a c))
(* 4 (* a c))
(* 4 (* a c))
(* 4 (* a c))
(* 4 (* a c))
(* 4 (* a c))
(* 4 (* a c))
(* 4 (* a c))
(* 4 (* a c))
(* 4 (* a c))
(* 4 (* a c))
(* 4 (* a c))
(* 4 (* a c))
(* 4 (* a c))
(* 4 (* a c))
(* 4 (* a c))
(* 4 (* a c))
(* 4 (* a c))
(* 4 (* a c))
(* 4 (* a c))
(* 4 (* a c))
(* 4 (* a c))
(* 4 (* a c))
(* 4 (* a c))
(* 4 (* a c))
(* 4 (* a c))
(* 4 (* a c))
(* 4 (* a c))
(* 4 (* a c))
(* 4 (* a c))
(* 4 (* a c))
(* 4 (* a c))
(* 4 (* a c))
(* 4 (* a c))
(* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2)))))
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* 2 (* b (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2)))))))
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* b (+ (* -2 (* b (- (* 1/2 (/ 1 (* (pow a 2) (* c (pow (sqrt -4) 4))))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4))))))) (* 2 (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2)))))))
(* -1 (/ c b))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* 2 (/ (+ (* -2 (* (pow a 3) (pow c 4))) (* -1/2 (* (pow a 3) (pow c 4)))) (pow b 6)))))) b)
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -2 (/ (+ (* -1/2 (* a (pow c 2))) (* a (pow c 2))) (pow b 4))) (+ (* -1 (/ c (pow b 2))) (/ 1 a)))))
(* -1 (* b (+ (* -2 (/ (+ (* -1 (* a (* c (+ (* -1/2 (* a (pow c 2))) (* a (pow c 2)))))) (+ (* -1 (* (pow a 2) (pow c 3))) (* 1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) c))))) (pow b 6))) (+ (* -2 (/ (+ (* -1/2 (* a (pow c 2))) (* a (pow c 2))) (pow b 4))) (+ (* -1 (/ c (pow b 2))) (/ 1 a))))))
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* 2 (* c (+ (* -2 (/ (pow a 3) (pow b 7))) (* -1/2 (/ (pow a 3) (pow b 7)))))))))) (/ 1 b)))
(* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2)))))
(- (+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2)))) (* -2 (/ b (* a (pow (sqrt -4) 2)))))
(- (+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -4) 4)))) (pow c 3)))) (+ (* -2 (/ b (* a (pow (sqrt -4) 2)))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (- (+ (* -1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (* -1/2 (/ (* b c) a))) c)) (* (sqrt (/ c a)) (sqrt -1)))
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(* (sqrt (/ c a)) (sqrt -1))
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(* 2 c)
(* 2 c)
(* 2 c)
(* 2 c)
(* 2 c)
(* 2 c)
(* 2 c)
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(* 2 c)
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(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
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(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
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(* -5 (/ (* (pow a 3) (pow c 4)) (pow b 7)))
(* (pow c 4) (+ (* -5 (/ (pow a 3) (pow b 7))) (* -2 (/ (pow a 2) (* (pow b 5) c)))))
(* (pow c 4) (+ (* -5 (/ (pow a 3) (pow b 7))) (+ (* -2 (/ (pow a 2) (* (pow b 5) c))) (* -1 (/ a (* (pow b 3) (pow c 2)))))))
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(* -5 (/ (* (pow a 3) (pow c 4)) (pow b 7)))
(* (pow c 4) (+ (* -5 (/ (pow a 3) (pow b 7))) (* -2 (/ (pow a 2) (* (pow b 5) c)))))
(* (pow c 4) (+ (* -5 (/ (pow a 3) (pow b 7))) (* -1 (/ (+ (* 2 (/ (pow a 2) (pow b 5))) (/ a (* (pow b 3) c))) c))))
(* (pow c 4) (+ (* -5 (/ (pow a 3) (pow b 7))) (* -1 (/ (+ (* -1 (/ (- (* -1 (/ a (pow b 3))) (/ 1 (* b c))) c)) (* 2 (/ (pow a 2) (pow b 5)))) c))))
(* -5 (/ (* (pow a 3) (pow c 4)) (pow b 7)))
(/ (+ (* -5 (* (pow a 3) (pow c 4))) (* -2 (* (pow a 2) (* (pow b 2) (pow c 3))))) (pow b 7))
(/ (+ (* -5 (* (pow a 3) (pow c 4))) (* (pow b 2) (+ (* -2 (* (pow a 2) (pow c 3))) (* -1 (* a (* (pow b 2) (pow c 2))))))) (pow b 7))
(/ (+ (* -5 (* (pow a 3) (pow c 4))) (* (pow b 2) (+ (* -2 (* (pow a 2) (pow c 3))) (* (pow b 2) (+ (* -1 (* a (pow c 2))) (* -1 (* (pow b 2) c))))))) (pow b 7))
(* -1 (/ c b))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -5 (/ (* (pow a 3) (pow c 4)) (pow b 6))) (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))))) b)
(* -1 (/ c b))
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(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))
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(* -5 (/ (* (pow a 3) (pow c 4)) (pow b 7)))
(* (pow a 3) (+ (* -5 (/ (pow c 4) (pow b 7))) (* -2 (/ (pow c 3) (* a (pow b 5))))))
(* (pow a 3) (+ (* -5 (/ (pow c 4) (pow b 7))) (+ (* -2 (/ (pow c 3) (* a (pow b 5)))) (* -1 (/ (pow c 2) (* (pow a 2) (pow b 3)))))))
(* (pow a 3) (+ (* -5 (/ (pow c 4) (pow b 7))) (+ (* -2 (/ (pow c 3) (* a (pow b 5)))) (+ (* -1 (/ c (* (pow a 3) b))) (* -1 (/ (pow c 2) (* (pow a 2) (pow b 3))))))))
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(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1 (/ (+ (/ c (* a b)) (/ (pow c 2) (pow b 3))) a))) a)) (* 5 (/ (pow c 4) (pow b 7))))))
(pow b 4)
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(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(* 20 (pow c 4))
(* 20 (pow c 4))
(* 20 (pow c 4))
(* 20 (pow c 4))
(* 20 (pow c 4))
(* 20 (pow c 4))
(* 20 (pow c 4))
(* 20 (pow c 4))
(* 20 (pow c 4))
(* 20 (pow c 4))
(* 20 (pow c 4))
(* 20 (pow c 4))
(pow b 6)
(pow b 6)
(pow b 6)
(pow b 6)
(pow b 6)
(pow b 6)
(pow b 6)
(pow b 6)
(pow b 6)
(pow b 6)
(pow b 6)
(pow b 6)
(* -4 (* a c))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(pow b 2)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(pow b 2)
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(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* -4 (* a c))
(* c (+ (* -4 a) (/ (pow b 2) c)))
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(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
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(pow b 2)
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(* -4 (* a c))
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(* -2 b)
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(* -2 (/ (* a c) b))
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(* -1 (/ (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))
(* -1 (/ (- (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b))
(* -2 b)
(- (* 2 (/ (* a c) b)) (* 2 b))
(- (* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) (* 2 b))
(- (* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) (* 2 b))
(* -1 (* (sqrt (* a c)) (sqrt -4)))
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(* 2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (- (/ b c) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -2 b)
(- (* 2 (/ (* a c) b)) (* 2 b))
(- (* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) (* 2 b))
(- (* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) (* 2 b))
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))
(* a (- (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))))
(* 2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (- (/ b a) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
Outputs
(* -1 (/ c b))
(/.f64 c (neg.f64 b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(neg.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))) (/.f64 c b)))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(fma.f64 a (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a (*.f64 c (*.f64 c c)))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b)))) (/.f64 c (neg.f64 b)))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -5 (/ (* a (pow c 4)) (pow b 7))) (* -2 (/ (pow c 3) (pow b 5))))))))
(fma.f64 a (fma.f64 a (fma.f64 #s(literal -5 binary64) (/.f64 (*.f64 a (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 7 binary64))) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 5 binary64)))) (neg.f64 (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))))) (/.f64 c (neg.f64 b)))
(* -5 (/ (* (pow a 3) (pow c 4)) (pow b 7)))
(/.f64 (*.f64 (*.f64 #s(literal -5 binary64) (*.f64 a (*.f64 a a))) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 7 binary64)))
(* (pow a 3) (+ (* -5 (/ (pow c 4) (pow b 7))) (* -2 (/ (pow c 3) (* a (pow b 5))))))
(*.f64 (*.f64 a (*.f64 a a)) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 a (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 #s(literal -5 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 7 binary64)))))
(* (pow a 3) (+ (* -5 (/ (pow c 4) (pow b 7))) (+ (* -2 (/ (pow c 3) (* a (pow b 5)))) (* -1 (/ (pow c 2) (* (pow a 2) (pow b 3)))))))
(*.f64 (*.f64 a (*.f64 a a)) (-.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 a (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 #s(literal -5 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 7 binary64)))) (/.f64 (*.f64 c c) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 a a)))))
(* (pow a 3) (+ (* -5 (/ (pow c 4) (pow b 7))) (+ (* -2 (/ (pow c 3) (* a (pow b 5)))) (+ (* -1 (/ c (* (pow a 3) b))) (* -1 (/ (pow c 2) (* (pow a 2) (pow b 3))))))))
(*.f64 (*.f64 a (*.f64 a a)) (fma.f64 #s(literal -5 binary64) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 7 binary64))) (-.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 a (pow.f64 b #s(literal 5 binary64)))) (/.f64 (neg.f64 c) (*.f64 b (*.f64 a (*.f64 a a))))) (/.f64 (*.f64 c c) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 a a))))))
(* -5 (/ (* (pow a 3) (pow c 4)) (pow b 7)))
(/.f64 (*.f64 (*.f64 #s(literal -5 binary64) (*.f64 a (*.f64 a a))) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 7 binary64)))
(* -1 (* (pow a 3) (+ (* 2 (/ (pow c 3) (* a (pow b 5)))) (* 5 (/ (pow c 4) (pow b 7))))))
(*.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 a (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 #s(literal 5 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 7 binary64)))) (neg.f64 (*.f64 a (*.f64 a a))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1 (/ (pow c 2) (* a (pow b 3))))) a)) (* 5 (/ (pow c 4) (pow b 7))))))
(*.f64 (-.f64 (/.f64 (*.f64 #s(literal 5 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 7 binary64))) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 c c) (*.f64 a (*.f64 b (*.f64 b b))))) a)) (neg.f64 (*.f64 a (*.f64 a a))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1 (/ (+ (/ c (* a b)) (/ (pow c 2) (pow b 3))) a))) a)) (* 5 (/ (pow c 4) (pow b 7))))))
(neg.f64 (*.f64 (*.f64 a (*.f64 a a)) (-.f64 (/.f64 (*.f64 #s(literal 5 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 7 binary64))) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (+.f64 (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))) (/.f64 c (*.f64 b a))) a)) a))))
(* -1 (/ c b))
(/.f64 c (neg.f64 b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(*.f64 c (fma.f64 (neg.f64 a) (/.f64 c (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1 binary64) b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(*.f64 c (fma.f64 c (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c (*.f64 a a))) (pow.f64 b #s(literal 5 binary64))) (/.f64 a (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1 binary64) b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -5 (/ (* (pow a 3) c) (pow b 7))) (* -2 (/ (pow a 2) (pow b 5))))))) (/ 1 b)))
(*.f64 c (fma.f64 c (fma.f64 c (fma.f64 #s(literal -5 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (pow.f64 b #s(literal 7 binary64))) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) (neg.f64 (/.f64 a (*.f64 b (*.f64 b b))))) (/.f64 #s(literal -1 binary64) b)))
(* -5 (/ (* (pow a 3) (pow c 4)) (pow b 7)))
(/.f64 (*.f64 (*.f64 #s(literal -5 binary64) (*.f64 a (*.f64 a a))) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 7 binary64)))
(* (pow c 4) (+ (* -5 (/ (pow a 3) (pow b 7))) (* -2 (/ (pow a 2) (* (pow b 5) c)))))
(*.f64 (pow.f64 c #s(literal 4 binary64)) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 a a) (*.f64 c (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 #s(literal -5 binary64) (*.f64 a (*.f64 a a))) (pow.f64 b #s(literal 7 binary64)))))
(* (pow c 4) (+ (* -5 (/ (pow a 3) (pow b 7))) (+ (* -2 (/ (pow a 2) (* (pow b 5) c))) (* -1 (/ a (* (pow b 3) (pow c 2)))))))
(*.f64 (pow.f64 c #s(literal 4 binary64)) (-.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 a a) (*.f64 c (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 #s(literal -5 binary64) (*.f64 a (*.f64 a a))) (pow.f64 b #s(literal 7 binary64)))) (/.f64 a (*.f64 (*.f64 c c) (*.f64 b (*.f64 b b))))))
(* (pow c 4) (- (+ (* -5 (/ (pow a 3) (pow b 7))) (+ (* -2 (/ (pow a 2) (* (pow b 5) c))) (* -1 (/ a (* (pow b 3) (pow c 2)))))) (/ 1 (* b (pow c 3)))))
(*.f64 (pow.f64 c #s(literal 4 binary64)) (+.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 a a) (*.f64 c (pow.f64 b #s(literal 5 binary64)))) (/.f64 (neg.f64 a) (*.f64 (*.f64 c c) (*.f64 b (*.f64 b b))))) (fma.f64 #s(literal -5 binary64) (/.f64 (*.f64 a (*.f64 a a)) (pow.f64 b #s(literal 7 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 c (*.f64 c c)))))))
(* -5 (/ (* (pow a 3) (pow c 4)) (pow b 7)))
(/.f64 (*.f64 (*.f64 #s(literal -5 binary64) (*.f64 a (*.f64 a a))) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 7 binary64)))
(* (pow c 4) (+ (* -5 (/ (pow a 3) (pow b 7))) (* -2 (/ (pow a 2) (* (pow b 5) c)))))
(*.f64 (pow.f64 c #s(literal 4 binary64)) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 a a) (*.f64 c (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 #s(literal -5 binary64) (*.f64 a (*.f64 a a))) (pow.f64 b #s(literal 7 binary64)))))
(* (pow c 4) (+ (* -5 (/ (pow a 3) (pow b 7))) (* -1 (/ (+ (* 2 (/ (pow a 2) (pow b 5))) (/ a (* (pow b 3) c))) c))))
(*.f64 (pow.f64 c #s(literal 4 binary64)) (-.f64 (/.f64 (*.f64 #s(literal -5 binary64) (*.f64 a (*.f64 a a))) (pow.f64 b #s(literal 7 binary64))) (/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) (/.f64 a (*.f64 c (*.f64 b (*.f64 b b))))) c)))
(* (pow c 4) (+ (* -5 (/ (pow a 3) (pow b 7))) (* -1 (/ (+ (* -1 (/ (- (* -1 (/ a (pow b 3))) (/ 1 (* b c))) c)) (* 2 (/ (pow a 2) (pow b 5)))) c))))
(*.f64 (pow.f64 c #s(literal 4 binary64)) (-.f64 (/.f64 (*.f64 #s(literal -5 binary64) (*.f64 a (*.f64 a a))) (pow.f64 b #s(literal 7 binary64))) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (+.f64 (neg.f64 (/.f64 a (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1 binary64) (*.f64 c b))) c)) c)))
(* -5 (/ (* (pow a 3) (pow c 4)) (pow b 7)))
(/.f64 (*.f64 (*.f64 #s(literal -5 binary64) (*.f64 a (*.f64 a a))) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 7 binary64)))
(/ (+ (* -5 (* (pow a 3) (pow c 4))) (* -2 (* (pow a 2) (* (pow b 2) (pow c 3))))) (pow b 7))
(/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 b b)) (*.f64 (*.f64 #s(literal -5 binary64) (*.f64 a (*.f64 a a))) (pow.f64 c #s(literal 4 binary64)))) (pow.f64 b #s(literal 7 binary64)))
(/ (+ (* -5 (* (pow a 3) (pow c 4))) (* (pow b 2) (+ (* -2 (* (pow a 2) (pow c 3))) (* -1 (* a (* (pow b 2) (pow c 2))))))) (pow b 7))
(/.f64 (fma.f64 (*.f64 b b) (fma.f64 (*.f64 a (*.f64 b b)) (neg.f64 (*.f64 c c)) (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 #s(literal -5 binary64) (*.f64 a (*.f64 a a))) (pow.f64 c #s(literal 4 binary64)))) (pow.f64 b #s(literal 7 binary64)))
(/ (+ (* -5 (* (pow a 3) (pow c 4))) (* (pow b 2) (+ (* -2 (* (pow a 2) (pow c 3))) (* (pow b 2) (+ (* -1 (* a (pow c 2))) (* -1 (* (pow b 2) c))))))) (pow b 7))
(/.f64 (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (neg.f64 (fma.f64 c (*.f64 b b) (*.f64 a (*.f64 c c)))) (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 #s(literal -5 binary64) (*.f64 a (*.f64 a a))) (pow.f64 c #s(literal 4 binary64)))) (pow.f64 b #s(literal 7 binary64)))
(* -1 (/ c b))
(/.f64 c (neg.f64 b))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c) (neg.f64 b))
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a a)) (pow.f64 b #s(literal 4 binary64))) (neg.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c))) b)
(/ (+ (* -5 (/ (* (pow a 3) (pow c 4)) (pow b 6))) (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))))) b)
(/.f64 (fma.f64 #s(literal -5 binary64) (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (*.f64 a (*.f64 a a))) (pow.f64 b #s(literal 6 binary64))) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a a)) (pow.f64 b #s(literal 4 binary64))) (neg.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c)))) b)
(* -1 (/ c b))
(/.f64 c (neg.f64 b))
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))
(/.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c) (neg.f64 b))
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))
(/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a a)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c)) (neg.f64 b))
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* 5 (/ (* (pow a 3) (pow c 4)) (pow b 6))) (/ (* a (pow c 2)) (pow b 2))))) b))
(/.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a a)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c)) (*.f64 #s(literal 5 binary64) (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (*.f64 a (*.f64 a a))) (pow.f64 b #s(literal 6 binary64))))) (neg.f64 b))
(* -1 (/ c b))
(/.f64 c (neg.f64 b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(neg.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))) (/.f64 c b)))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(fma.f64 a (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a (*.f64 c (*.f64 c c)))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b)))) (/.f64 c (neg.f64 b)))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(fma.f64 a (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a (*.f64 c (*.f64 c c)))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b)))) (/.f64 c (neg.f64 b)))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 5)))
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 5 binary64)))
(* (pow a 2) (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1 (/ (pow c 2) (* a (pow b 3))))))
(*.f64 (*.f64 a a) (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 c c) (*.f64 a (*.f64 b (*.f64 b b))))))
(* (pow a 2) (+ (* -2 (/ (pow c 3) (pow b 5))) (+ (* -1 (/ c (* (pow a 2) b))) (* -1 (/ (pow c 2) (* a (pow b 3)))))))
(*.f64 (*.f64 a a) (-.f64 (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 5 binary64))) (/.f64 c (*.f64 b (*.f64 a a)))) (/.f64 (*.f64 c c) (*.f64 a (*.f64 b (*.f64 b b))))))
(* (pow a 2) (+ (* -2 (/ (pow c 3) (pow b 5))) (+ (* -1 (/ c (* (pow a 2) b))) (* -1 (/ (pow c 2) (* a (pow b 3)))))))
(*.f64 (*.f64 a a) (-.f64 (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 5 binary64))) (/.f64 c (*.f64 b (*.f64 a a)))) (/.f64 (*.f64 c c) (*.f64 a (*.f64 b (*.f64 b b))))))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 5)))
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 5 binary64)))
(* (pow a 2) (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1 (/ (pow c 2) (* a (pow b 3))))))
(*.f64 (*.f64 a a) (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 c c) (*.f64 a (*.f64 b (*.f64 b b))))))
(* (pow a 2) (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1 (/ (+ (/ c (* a b)) (/ (pow c 2) (pow b 3))) a))))
(*.f64 (*.f64 a a) (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (+.f64 (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))) (/.f64 c (*.f64 b a))) a)))
(* (pow a 2) (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1 (/ (+ (/ c (* a b)) (/ (pow c 2) (pow b 3))) a))))
(*.f64 (*.f64 a a) (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (+.f64 (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))) (/.f64 c (*.f64 b a))) a)))
(* -1 (/ c b))
(/.f64 c (neg.f64 b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(*.f64 c (fma.f64 (neg.f64 a) (/.f64 c (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1 binary64) b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(*.f64 c (fma.f64 c (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c (*.f64 a a))) (pow.f64 b #s(literal 5 binary64))) (/.f64 a (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1 binary64) b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(*.f64 c (fma.f64 c (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c (*.f64 a a))) (pow.f64 b #s(literal 5 binary64))) (/.f64 a (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1 binary64) b)))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 5)))
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 5 binary64)))
(* (pow c 3) (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1 (/ a (* (pow b 3) c)))))
(*.f64 (*.f64 c (*.f64 c c)) (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))) (/.f64 a (*.f64 c (*.f64 b (*.f64 b b))))))
(* (pow c 3) (- (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1 (/ a (* (pow b 3) c)))) (/ 1 (* b (pow c 2)))))
(*.f64 (*.f64 c (*.f64 c c)) (+.f64 (neg.f64 (/.f64 a (*.f64 c (*.f64 b (*.f64 b b))))) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 c c))))))
(* (pow c 3) (- (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1 (/ a (* (pow b 3) c)))) (/ 1 (* b (pow c 2)))))
(*.f64 (*.f64 c (*.f64 c c)) (+.f64 (neg.f64 (/.f64 a (*.f64 c (*.f64 b (*.f64 b b))))) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 c c))))))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 5)))
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 5 binary64)))
(* -1 (* (pow c 3) (+ (* 2 (/ (pow a 2) (pow b 5))) (/ a (* (pow b 3) c)))))
(*.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) (/.f64 a (*.f64 c (*.f64 b (*.f64 b b))))) (neg.f64 (*.f64 c (*.f64 c c))))
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(* 2 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a))))
(* -1 (* c (- (/ b c) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(*.f64 (neg.f64 c) (+.f64 (/.f64 b c) (*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))))))
(* -1 (* c (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(*.f64 (neg.f64 c) (+.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) (neg.f64 b)) (neg.f64 c)) (*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))))))
(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(*.f64 (neg.f64 c) (+.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/64 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64)))))) (neg.f64 c)) b) (neg.f64 c)) (*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))))))
(* -2 b)
(*.f64 b #s(literal -2 binary64))
(- (* 2 (/ (* a c) b)) (* 2 b))
(*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (*.f64 c a) b) b))
(- (* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) (* 2 b))
(fma.f64 a (*.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))) (/.f64 c b))) (*.f64 b #s(literal -2 binary64)))
(- (* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) (* 2 b))
(fma.f64 a (fma.f64 a (fma.f64 (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 5 binary64))) #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))))) (*.f64 (/.f64 c b) #s(literal 2 binary64))) (*.f64 b #s(literal -2 binary64)))
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(*.f64 (sqrt.f64 (*.f64 c a)) (neg.f64 (sqrt.f64 #s(literal -4 binary64))))
(* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(*.f64 a (neg.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 b a))))
(* a (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))
(*.f64 a (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 b b)) (sqrt.f64 #s(literal -4 binary64))) (neg.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 b a)))))
(* a (- (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))))
(*.f64 a (-.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (pow.f64 a #s(literal 5 binary64))))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64))))) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 b b)) (sqrt.f64 #s(literal -4 binary64))) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 b a)))))
(* 2 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a))))
(* -1 (* a (- (/ b a) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(*.f64 (+.f64 (/.f64 b a) (*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))) (neg.f64 a))
(* -1 (* a (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) (neg.f64 b)) (neg.f64 a)) (*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))) (neg.f64 a))
(* -1 (* a (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(neg.f64 (*.f64 a (+.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/64 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c))))) (neg.f64 a)) b) (neg.f64 a)) (*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))))))

rewrite392.0ms (3.3%)

Memory
-1.4MiB live, 925.3MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 870×lower-*.f32
4 824×lower-*.f64
3 368×lower-fma.f32
3 356×lower-fma.f64
3 230×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066580
0114522
1440405
24240393
08334388
Stop Event
iter limit
node limit
iter limit
Counts
24 → 868
Calls
Call 1
Inputs
(fma.f64 (/.f64 (*.f64 a (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 20 binary64)))) (*.f64 b (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b))))) (*.f64 #s(literal -1/4 binary64) (*.f64 a a)) (fma.f64 a (*.f64 a (/.f64 (*.f64 (*.f64 c c) (*.f64 c #s(literal -2 binary64))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (/.f64 (fma.f64 c (/.f64 (*.f64 c a) (*.f64 b b)) c) (neg.f64 b))))
(fma.f64 a (*.f64 a (/.f64 (*.f64 (*.f64 c c) (*.f64 c #s(literal -2 binary64))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (/.f64 (fma.f64 c (/.f64 (*.f64 c a) (*.f64 b b)) c) (neg.f64 b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (/.f64 (*.f64 a (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 20 binary64)))) (*.f64 b (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b))))) (*.f64 #s(literal -1/4 binary64) (*.f64 a a)) (fma.f64 a (*.f64 a (/.f64 (*.f64 (*.f64 c c) (*.f64 c #s(literal -2 binary64))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (/.f64 (fma.f64 c (/.f64 (*.f64 c a) (*.f64 b b)) c) (neg.f64 b)))))
(/.f64 (*.f64 a (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 20 binary64)))) (*.f64 b (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b)))))
(*.f64 (/.f64 #s(literal -1 binary64) b) c)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) b) c))
(/.f64 #s(literal -1 binary64) b)
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) b))
(/.f64 #s(literal 1/2 binary64) a)
(-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) b)
(sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))
(-.f64 (*.f64 b b) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))
(/.f64 (*.f64 (-.f64 (*.f64 b b) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (/.f64 #s(literal 1/2 binary64) a)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
(*.f64 (-.f64 (*.f64 b b) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (/.f64 #s(literal 1/2 binary64) a))
(*.f64 b b)
(fma.f64 c (/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 a (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 20 binary64))))) (*.f64 b (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b))))))
(*.f64 #s(literal -1/4 binary64) (*.f64 a (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 20 binary64)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (fma.f64 c (/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 a (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 20 binary64))))) (*.f64 b (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b)))))) (*.f64 a a) (/.f64 (fma.f64 c (/.f64 (*.f64 c a) (*.f64 b b)) c) (neg.f64 b))))
(fma.f64 (fma.f64 c (/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 a (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 20 binary64))))) (*.f64 b (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b)))))) (*.f64 a a) (/.f64 (fma.f64 c (/.f64 (*.f64 c a) (*.f64 b b)) c) (neg.f64 b)))
(*.f64 (*.f64 b b) (*.f64 b b))
(*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 20 binary64)))
(*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b)))
(fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))
(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))
Outputs
(+.f64 (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) (neg.f64 b)) (*.f64 (*.f64 a a) (fma.f64 c (/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a (*.f64 (*.f64 (*.f64 c c) (*.f64 c (*.f64 c #s(literal 20 binary64)))) #s(literal -1/4 binary64))) (*.f64 b (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))))))))
(+.f64 (fma.f64 a (/.f64 (*.f64 (*.f64 a c) (*.f64 c (*.f64 c #s(literal -2 binary64)))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) (neg.f64 b))) (/.f64 (*.f64 (*.f64 (*.f64 c c) (*.f64 c (*.f64 c #s(literal 20 binary64)))) (*.f64 a (*.f64 a (*.f64 a #s(literal -1/4 binary64))))) (*.f64 b (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))))))
(+.f64 (*.f64 (*.f64 a a) (fma.f64 c (/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a (*.f64 (*.f64 (*.f64 c c) (*.f64 c (*.f64 c #s(literal 20 binary64)))) #s(literal -1/4 binary64))) (*.f64 b (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))))))) (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) (neg.f64 b)))
(+.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 c (*.f64 c (*.f64 c #s(literal -2 binary64))))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (+.f64 (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) (neg.f64 b)) (/.f64 (*.f64 (*.f64 (*.f64 c c) (*.f64 c (*.f64 c #s(literal 20 binary64)))) (*.f64 a (*.f64 a (*.f64 a #s(literal -1/4 binary64))))) (*.f64 b (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))))))
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) (*.f64 c (*.f64 c #s(literal 20 binary64)))) (*.f64 a (*.f64 a (*.f64 a #s(literal -1/4 binary64))))) (*.f64 b (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))))) (fma.f64 a (/.f64 (*.f64 (*.f64 a c) (*.f64 c (*.f64 c #s(literal -2 binary64)))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) (neg.f64 b))))
(+.f64 (fma.f64 (/.f64 (*.f64 a (*.f64 (*.f64 c c) (*.f64 c (*.f64 c #s(literal 20 binary64))))) (*.f64 b (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))))) (*.f64 a (*.f64 a #s(literal -1/4 binary64))) (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) (neg.f64 b))) (/.f64 (*.f64 (*.f64 a a) (*.f64 c (*.f64 c (*.f64 c #s(literal -2 binary64))))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))))
(-.f64 (*.f64 (*.f64 a a) (fma.f64 c (/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a (*.f64 (*.f64 (*.f64 c c) (*.f64 c (*.f64 c #s(literal 20 binary64)))) #s(literal -1/4 binary64))) (*.f64 b (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))))))) (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) b))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 a a) (fma.f64 c (/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a (*.f64 (*.f64 (*.f64 c c) (*.f64 c (*.f64 c #s(literal 20 binary64)))) #s(literal -1/4 binary64))) (*.f64 b (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))))))) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 a a) (fma.f64 c (/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a (*.f64 (*.f64 (*.f64 c c) (*.f64 c (*.f64 c #s(literal 20 binary64)))) #s(literal -1/4 binary64))) (*.f64 b (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))))))) (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) (neg.f64 b)))) (/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)) (*.f64 b b)) (-.f64 (*.f64 (*.f64 a a) (fma.f64 c (/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a (*.f64 (*.f64 (*.f64 c c) (*.f64 c (*.f64 c #s(literal 20 binary64)))) #s(literal -1/4 binary64))) (*.f64 b (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))))))) (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) (neg.f64 b)))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) (*.f64 c (*.f64 c #s(literal 20 binary64)))) (*.f64 a (*.f64 a (*.f64 a #s(literal -1/4 binary64))))) (*.f64 (*.f64 (*.f64 c c) (*.f64 c (*.f64 c #s(literal 20 binary64)))) (*.f64 a (*.f64 a (*.f64 a #s(literal -1/4 binary64)))))) (*.f64 (*.f64 b (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (*.f64 b (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))))) (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) (*.f64 c (*.f64 c #s(literal 20 binary64)))) (*.f64 a (*.f64 a (*.f64 a #s(literal -1/4 binary64))))) (*.f64 b (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))))) (fma.f64 a (/.f64 (*.f64 (*.f64 a c) (*.f64 c (*.f64 c #s(literal -2 binary64)))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) (neg.f64 b))))) (/.f64 (pow.f64 (fma.f64 a (/.f64 (*.f64 (*.f64 a c) (*.f64 c (*.f64 c #s(literal -2 binary64)))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) (neg.f64 b))) #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) (*.f64 c (*.f64 c #s(literal 20 binary64)))) (*.f64 a (*.f64 a (*.f64 a #s(literal -1/4 binary64))))) (*.f64 b (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))))) (fma.f64 a (/.f64 (*.f64 (*.f64 a c) (*.f64 c (*.f64 c #s(literal -2 binary64)))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) (neg.f64 b))))))
(fma.f64 a (/.f64 (*.f64 (*.f64 a c) (*.f64 c (*.f64 c #s(literal -2 binary64)))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (+.f64 (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) (neg.f64 b)) (/.f64 (*.f64 (*.f64 (*.f64 c c) (*.f64 c (*.f64 c #s(literal 20 binary64)))) (*.f64 a (*.f64 a (*.f64 a #s(literal -1/4 binary64))))) (*.f64 b (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))))))
(fma.f64 a (*.f64 a (fma.f64 c (/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a (*.f64 (*.f64 (*.f64 c c) (*.f64 c (*.f64 c #s(literal 20 binary64)))) #s(literal -1/4 binary64))) (*.f64 b (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))))))) (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) (neg.f64 b)))
(fma.f64 a (*.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 c (*.f64 c #s(literal 20 binary64)))) (*.f64 b (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))))) (*.f64 a (*.f64 a #s(literal -1/4 binary64)))) (fma.f64 a (/.f64 (*.f64 (*.f64 a c) (*.f64 c (*.f64 c #s(literal -2 binary64)))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) (neg.f64 b))))
(fma.f64 (*.f64 a (*.f64 (*.f64 c c) (*.f64 c (*.f64 c #s(literal 20 binary64))))) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))))) (*.f64 a (*.f64 a #s(literal -1/4 binary64)))) (fma.f64 a (/.f64 (*.f64 (*.f64 a c) (*.f64 c (*.f64 c #s(literal -2 binary64)))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) (neg.f64 b))))
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(/.f64 (neg.f64 (fma.f64 (*.f64 c (*.f64 c c)) (*.f64 #s(literal -64 binary64) (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))))) (neg.f64 (fma.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)) (*.f64 b (*.f64 b (*.f64 b b))))))
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(/.f64 (neg.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 16 binary64)))) (neg.f64 (fma.f64 b b (*.f64 (*.f64 c (neg.f64 a)) #s(literal -4 binary64)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 a (*.f64 #s(literal 4 binary64) c) (*.f64 b b)) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (neg.f64 (fma.f64 a (*.f64 #s(literal 4 binary64) c) (*.f64 b b))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 16 binary64)) (*.f64 b (*.f64 b (*.f64 b b)))) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)))
(/.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 c (*.f64 c c)) (*.f64 #s(literal -64 binary64) (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (fma.f64 (*.f64 c (*.f64 c c)) (*.f64 #s(literal -64 binary64) (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))))) (sqrt.f64 (*.f64 (fma.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)) (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)) (*.f64 b (*.f64 b (*.f64 b b)))))))
(/.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 c (*.f64 c c)) (*.f64 #s(literal -64 binary64) (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 16 binary64))))) (sqrt.f64 (*.f64 (fma.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)) (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 b b (*.f64 (*.f64 c (neg.f64 a)) #s(literal -4 binary64))))))
(/.f64 (sqrt.f64 (*.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 16 binary64))) (fma.f64 (*.f64 c (*.f64 c c)) (*.f64 #s(literal -64 binary64) (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))))) (sqrt.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 c (neg.f64 a)) #s(literal -4 binary64))) (fma.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)) (*.f64 b (*.f64 b (*.f64 b b)))))))
(/.f64 (sqrt.f64 (*.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 16 binary64))) (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 16 binary64))))) (sqrt.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 c (neg.f64 a)) #s(literal -4 binary64))) (fma.f64 b b (*.f64 (*.f64 c (neg.f64 a)) #s(literal -4 binary64))))))
(/.f64 (sqrt.f64 (*.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (fma.f64 (*.f64 c (*.f64 c c)) (*.f64 #s(literal -64 binary64) (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))))) (sqrt.f64 (fma.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)) (*.f64 b (*.f64 b (*.f64 b b))))))
(/.f64 (sqrt.f64 (*.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 16 binary64))))) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 c (neg.f64 a)) #s(literal -4 binary64)))))
(/.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 c (*.f64 c c)) (*.f64 #s(literal -64 binary64) (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (sqrt.f64 (fma.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)) (*.f64 b (*.f64 b (*.f64 b b))))))
(/.f64 (sqrt.f64 (*.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 16 binary64))) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 c (neg.f64 a)) #s(literal -4 binary64)))))
(pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) #s(literal 2 binary64))
(pow.f64 (*.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) #s(literal 1/2 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)) (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 (*.f64 c (*.f64 c c)) (*.f64 #s(literal -64 binary64) (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 b b (*.f64 (*.f64 c (neg.f64 a)) #s(literal -4 binary64))) (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 16 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 a (*.f64 #s(literal 4 binary64) c)) (fma.f64 a (*.f64 #s(literal 4 binary64) c) (*.f64 b b)) (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 (*.f64 c (*.f64 c c)) (*.f64 #s(literal -64 binary64) (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 a (*.f64 #s(literal 4 binary64) c) (*.f64 b b)) (*.f64 (fma.f64 a (*.f64 #s(literal 4 binary64) c) (*.f64 b b)) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) #s(literal -1 binary64))
(*.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))
(*.f64 (fma.f64 (*.f64 c (*.f64 c c)) (*.f64 #s(literal -64 binary64) (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)) (*.f64 b (*.f64 b (*.f64 b b))))))
(*.f64 (fma.f64 (*.f64 c (*.f64 c c)) (*.f64 #s(literal -64 binary64) (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a (*.f64 #s(literal 4 binary64) c)) (fma.f64 a (*.f64 #s(literal 4 binary64) c) (*.f64 b b)) (*.f64 b (*.f64 b (*.f64 b b))))))
(*.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 16 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 (*.f64 c (neg.f64 a)) #s(literal -4 binary64)))))
(*.f64 (*.f64 (fma.f64 a (*.f64 #s(literal 4 binary64) c) (*.f64 b b)) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 #s(literal 4 binary64) c) (*.f64 b b))))
(+.f64 (neg.f64 b) (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))
(+.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (neg.f64 b))
(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))
(-.f64 #s(literal 0 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))
(-.f64 #s(literal 0 binary64) (-.f64 b (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))))
(-.f64 (/.f64 (*.f64 b (*.f64 b b)) (fma.f64 b b (fma.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) (/.f64 (*.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (fma.f64 b b (fma.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))))
(-.f64 (/.f64 (*.f64 b b) (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b)) (/.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b)))
(fma.f64 b #s(literal -1 binary64) (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))
(fma.f64 #s(literal -1 binary64) b (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))
(fma.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (neg.f64 b))
(neg.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b (fma.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (-.f64 (*.f64 b (*.f64 b b)) (*.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b) (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c #s(literal -4 binary64))))))
(/.f64 (-.f64 (*.f64 b (*.f64 b b)) (*.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) (fma.f64 b b (fma.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))
(/.f64 (-.f64 (*.f64 b (*.f64 b b)) (*.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) (fma.f64 b b (-.f64 (*.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) (*.f64 (neg.f64 b) (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (+.f64 b (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))))
(/.f64 (neg.f64 (-.f64 (*.f64 b (*.f64 b b)) (*.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))) (neg.f64 (fma.f64 b b (fma.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))))
(/.f64 (-.f64 (*.f64 b b) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))) (-.f64 (neg.f64 b) (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))))
(pow.f64 (/.f64 (fma.f64 b b (fma.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (-.f64 (*.f64 b (*.f64 b b)) (*.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b) (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c #s(literal -4 binary64))))) #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b)))
(*.f64 (-.f64 (*.f64 b (*.f64 b b)) (*.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) (/.f64 #s(literal 1 binary64) (fma.f64 b b (fma.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))))

eval453.0ms (3.8%)

Memory
14.1MiB live, 1 146.7MiB allocated
Compiler

Compiled 116 678 to 4 536 computations (96.1% saved)

prune427.0ms (3.6%)

Memory
7.8MiB live, 1 302.1MiB allocated
Pruning

23 alts after pruning (19 fresh and 4 done)

PrunedKeptTotal
New2 221102 231
Fresh28937
Picked235
Done112
Total2 252232 275
Accuracy
100.0%
Counts
2 275 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
34.0%
(fma.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (neg.f64 b)))
32.7%
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) b) (*.f64 a #s(literal 2 binary64)))
99.4%
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))))
99.0%
(/.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 16 binary64))) (+.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 #s(literal 1/2 binary64) a)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
99.2%
(/.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 #s(literal -64 binary64) (*.f64 a (*.f64 a a))))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 16 binary64) (*.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c #s(literal -4 binary64))))))) (/.f64 #s(literal 1/2 binary64) a)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
99.2%
(/.f64 (*.f64 (*.f64 (fma.f64 b b (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 #s(literal 1/2 binary64) a)) (*.f64 (fma.f64 b b (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))))
99.3%
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))) a)
80.3%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b))) (*.f64 #s(literal 2 binary64) a))
99.8%
(/.f64 #s(approx (* (- (* b b) (+ (* b b) (* c (* a -4)))) (/ 1/2 a)) (*.f64 c #s(literal 2 binary64))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
99.2%
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))
32.7%
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) b))
80.3%
(*.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (- (sqrt (+ (* b b) (* c (* a -4)))) b) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c a)) b)))
95.6%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (fma.f64 c (/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 a (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 20 binary64))))) (*.f64 b (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b)))))) (*.f64 a a) (/.f64 (fma.f64 c (/.f64 (*.f64 c a) (*.f64 b b)) c) (neg.f64 b))))
90.5%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c) (neg.f64 b)))
90.4%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(approx (- (* (* -2 (* a a)) (/ (* c (* c c)) (* (* b b) (* b b)))) (+ (* (* c c) (/ a (* b b))) c)) (*.f64 c (fma.f64 a (/.f64 c (*.f64 (neg.f64 b) b)) #s(literal -1 binary64)))) b))
80.5%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (/.f64 (*.f64 b (neg.f64 b)) (+.f64 #s(literal 0 binary64) b))))
80.5%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) b))))
80.6%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b)))
93.6%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 b (-.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 a #s(literal -2 binary64)))) (*.f64 (*.f64 b b) (*.f64 b b))) (fma.f64 c (/.f64 (*.f64 c a) (*.f64 b b)) c)))))
80.3%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 b (neg.f64 c))))
80.3%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) b) c))
90.1%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 c (fma.f64 (neg.f64 a) (/.f64 c (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1 binary64) b))))
90.4%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))) (/.f64 c b))))
Compiler

Compiled 1 030 to 596 computations (42.1% saved)

simplify200.0ms (1.7%)

Memory
-10.5MiB live, 517.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff192
(-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c #s(literal -4 binary64))))
cost-diff320
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c #s(literal -4 binary64)))))
cost-diff320
(*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))))
cost-diff704
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))) a)
cost-diff0
(neg.f64 a)
cost-diff0
(fma.f64 (neg.f64 a) (/.f64 c (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1 binary64) b))
cost-diff0
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 c (fma.f64 (neg.f64 a) (/.f64 c (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1 binary64) b))))
cost-diff320
(*.f64 c (fma.f64 (neg.f64 a) (/.f64 c (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1 binary64) b)))
cost-diff0
(/.f64 (*.f64 a #s(literal -2 binary64)) b)
cost-diff0
(*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b))
cost-diff0
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b)))
cost-diff0
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b))) (*.f64 #s(literal 2 binary64) a))
cost-diff0
(neg.f64 c)
cost-diff0
(/.f64 b (neg.f64 c))
cost-diff0
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 b (neg.f64 c))))
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 b (neg.f64 c)))
cost-diff0
(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))
cost-diff0
(*.f64 c #s(literal 2 binary64))
cost-diff0
#s(approx (* (- (* b b) (+ (* b b) (* c (* a -4)))) (/ 1/2 a)) (*.f64 c #s(literal 2 binary64)))
cost-diff0
(/.f64 #s(approx (* (- (* b b) (+ (* b b) (* c (* a -4)))) (/ 1/2 a)) (*.f64 c #s(literal 2 binary64))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
Rules
6 128×lower-fma.f32
6 122×lower-fma.f64
3 392×lower-*.f32
3 366×lower-*.f64
1 656×lower-+.f64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
063422
098408
1182378
2419364
31436361
45422355
08404355
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 #s(approx (* (- (* b b) (+ (* b b) (* c (* a -4)))) (/ 1/2 a)) (*.f64 c #s(literal 2 binary64))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
#s(approx (* (- (* b b) (+ (* b b) (* c (* a -4)))) (/ 1/2 a)) (*.f64 c #s(literal 2 binary64)))
(*.f64 c #s(literal 2 binary64))
c
#s(literal 2 binary64)
(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))
(neg.f64 b)
b
(sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))
(fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))
(*.f64 c (*.f64 a #s(literal -4 binary64)))
(*.f64 a #s(literal -4 binary64))
a
#s(literal -4 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 b (neg.f64 c))))
(/.f64 #s(literal 1 binary64) (/.f64 b (neg.f64 c)))
#s(literal 1 binary64)
(/.f64 b (neg.f64 c))
b
(neg.f64 c)
c
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b))) (*.f64 #s(literal 2 binary64) a))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b)))
(*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b))
c
(/.f64 (*.f64 a #s(literal -2 binary64)) b)
(*.f64 a #s(literal -2 binary64))
a
#s(literal -2 binary64)
b
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 c (fma.f64 (neg.f64 a) (/.f64 c (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1 binary64) b))))
(*.f64 c (fma.f64 (neg.f64 a) (/.f64 c (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1 binary64) b)))
c
(fma.f64 (neg.f64 a) (/.f64 c (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1 binary64) b))
(neg.f64 a)
a
(/.f64 c (*.f64 b (*.f64 b b)))
(*.f64 b (*.f64 b b))
b
(*.f64 b b)
(/.f64 #s(literal -1 binary64) b)
#s(literal -1 binary64)
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))) a)
(*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))))
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c #s(literal -4 binary64)))))
#s(literal 1/2 binary64)
(-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c #s(literal -4 binary64))))
#s(literal 0 binary64)
(*.f64 a (*.f64 c #s(literal -4 binary64)))
a
(*.f64 c #s(literal -4 binary64))
c
#s(literal -4 binary64)
(/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))
#s(literal 1 binary64)
(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))
(neg.f64 b)
b
(sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))
(*.f64 b b)
Outputs
(/.f64 #s(approx (* (- (* b b) (+ (* b b) (* c (* a -4)))) (/ 1/2 a)) (*.f64 c #s(literal 2 binary64))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
#s(approx (* (- (* b b) (+ (* b b) (* c (* a -4)))) (/ 1/2 a)) (*.f64 c #s(literal 2 binary64)))
(*.f64 c #s(literal 2 binary64))
c
#s(literal 2 binary64)
(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))
(neg.f64 b)
b
(sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))
(fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))
(*.f64 c (*.f64 a #s(literal -4 binary64)))
(*.f64 a #s(literal -4 binary64))
a
#s(literal -4 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 b (neg.f64 c))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b)))
(/.f64 #s(literal 1 binary64) (/.f64 b (neg.f64 c)))
(/.f64 c (neg.f64 b))
#s(literal 1 binary64)
(/.f64 b (neg.f64 c))
(/.f64 (neg.f64 b) c)
b
(neg.f64 c)
c
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b))) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b)) (*.f64 a #s(literal 2 binary64)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b))
(*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b))
(/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b)
c
(/.f64 (*.f64 a #s(literal -2 binary64)) b)
(*.f64 a #s(literal -2 binary64))
a
#s(literal -2 binary64)
b
(*.f64 #s(literal 2 binary64) a)
(*.f64 a #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 c (fma.f64 (neg.f64 a) (/.f64 c (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1 binary64) b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 c b) (fma.f64 (neg.f64 c) (/.f64 a (*.f64 b b)) #s(literal -1 binary64))))
(*.f64 c (fma.f64 (neg.f64 a) (/.f64 c (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1 binary64) b)))
(*.f64 (/.f64 c b) (fma.f64 (neg.f64 c) (/.f64 a (*.f64 b b)) #s(literal -1 binary64)))
c
(fma.f64 (neg.f64 a) (/.f64 c (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1 binary64) b))
(fma.f64 c (neg.f64 (/.f64 a (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1 binary64) b))
(neg.f64 a)
a
(/.f64 c (*.f64 b (*.f64 b b)))
(*.f64 b (*.f64 b b))
b
(*.f64 b b)
(/.f64 #s(literal -1 binary64) b)
#s(literal -1 binary64)
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))) a)
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 c #s(literal -4 binary64))) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))))
(/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c #s(literal -4 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 c a))
#s(literal 1/2 binary64)
(-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c #s(literal -4 binary64))))
(*.f64 c (*.f64 a #s(literal 4 binary64)))
#s(literal 0 binary64)
(*.f64 a (*.f64 c #s(literal -4 binary64)))
(*.f64 c (*.f64 a #s(literal -4 binary64)))
a
(*.f64 c #s(literal -4 binary64))
c
#s(literal -4 binary64)
(/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))
(/.f64 #s(literal -1 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
#s(literal 1 binary64)
(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))
(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))
(neg.f64 b)
b
(sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))
(sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))
(fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))
(*.f64 b b)

localize203.0ms (1.7%)

Memory
7.6MiB live, 607.3MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy99.8%
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))
accuracy99.8%
(/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))
accuracy99.6%
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))) a)
accuracy99.5%
(*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))))
accuracy99.6%
(*.f64 b (*.f64 b b))
accuracy99.6%
(/.f64 c (*.f64 b (*.f64 b b)))
accuracy99.6%
(*.f64 c (fma.f64 (neg.f64 a) (/.f64 c (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1 binary64) b)))
accuracy90.6%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 c (fma.f64 (neg.f64 a) (/.f64 c (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1 binary64) b))))
accuracy100.0%
(*.f64 #s(literal 2 binary64) a)
accuracy99.6%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b))) (*.f64 #s(literal 2 binary64) a))
accuracy99.5%
(*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b))
accuracy80.5%
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b)))
accuracy100.0%
(/.f64 b (neg.f64 c))
accuracy100.0%
(neg.f64 c)
accuracy99.6%
(/.f64 #s(literal 1 binary64) (/.f64 b (neg.f64 c)))
accuracy80.6%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 b (neg.f64 c))))
accuracy100.0%
(fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))
accuracy99.9%
(sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))
accuracy99.9%
(/.f64 #s(approx (* (- (* b b) (+ (* b b) (* c (* a -4)))) (/ 1/2 a)) (*.f64 c #s(literal 2 binary64))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
accuracy99.9%
(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))
Samples
101.0ms162×1valid
32.0ms94×0valid
Compiler

Compiled 391 to 55 computations (85.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 95.0ms
ival-mult: 28.0ms (29.5% of total)
ival-div: 21.0ms (22.1% of total)
adjust: 19.0ms (20% of total)
ival-sub: 9.0ms (9.5% of total)
ival-add: 7.0ms (7.4% of total)
ival-sqrt: 7.0ms (7.4% of total)
ival-neg: 3.0ms (3.2% of total)
exact: 1.0ms (1.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series87.0ms (0.7%)

Memory
-1.7MiB live, 235.8MiB allocated
Counts
27 → 780
Calls
Call 1
Inputs
#s(alt (/.f64 #s(approx (* (- (* b b) (+ (* b b) (* c (* a -4)))) (/ 1/2 a)) (*.f64 c #s(literal 2 binary64))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (patch (/.f64 #s(approx (* (- (* b b) (+ (* b b) (* c (* a -4)))) (/ 1/2 a)) (*.f64 c #s(literal 2 binary64))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) #<representation binary64>) () ())
#s(alt #s(approx (* (- (* b b) (+ (* b b) (* c (* a -4)))) (/ 1/2 a)) (*.f64 c #s(literal 2 binary64))) (patch #s(approx (* (- (* b b) (+ (* b b) (* c (* a -4)))) (/ 1/2 a)) (*.f64 c #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 c #s(literal 2 binary64)) (patch (*.f64 c #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (patch (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 b (neg.f64 c))) (patch (/.f64 #s(literal 1 binary64) (/.f64 b (neg.f64 c))) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 b (neg.f64 c)))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 b (neg.f64 c)))) #<representation binary64>) () ())
#s(alt (/.f64 b (neg.f64 c)) (patch (/.f64 b (neg.f64 c)) #<representation binary64>) () ())
#s(alt (neg.f64 c) (patch (neg.f64 c) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())
#s(alt #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b))) (patch #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b))) #<representation binary64>) () ())
#s(alt (*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b)) (patch (*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 a #s(literal -2 binary64)) b) (patch (/.f64 (*.f64 a #s(literal -2 binary64)) b) #<representation binary64>) () ())
#s(alt (*.f64 c (fma.f64 (neg.f64 a) (/.f64 c (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1 binary64) b))) (patch (*.f64 c (fma.f64 (neg.f64 a) (/.f64 c (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1 binary64) b))) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 c (fma.f64 (neg.f64 a) (/.f64 c (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1 binary64) b)))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 c (fma.f64 (neg.f64 a) (/.f64 c (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1 binary64) b)))) #<representation binary64>) () ())
#s(alt (fma.f64 (neg.f64 a) (/.f64 c (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1 binary64) b)) (patch (fma.f64 (neg.f64 a) (/.f64 c (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1 binary64) b)) #<representation binary64>) () ())
#s(alt (neg.f64 a) (patch (neg.f64 a) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))) a) (patch (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))) a) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))) (patch (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (patch (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c #s(literal -4 binary64))))) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (patch (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (patch (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) #<representation binary64>) () ())
#s(alt (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (patch (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 2 binary64) a) (patch (*.f64 #s(literal 2 binary64) a) #<representation binary64>) () ())
#s(alt (/.f64 c (*.f64 b (*.f64 b b))) (patch (/.f64 c (*.f64 b (*.f64 b b))) #<representation binary64>) () ())
#s(alt (*.f64 b (*.f64 b b)) (patch (*.f64 b (*.f64 b b)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) (patch (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) #<representation binary64>) () ())
#s(alt (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (patch (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) #<representation binary64>) () ())
Outputs
#s(alt (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (taylor 0 b) (#s(alt (/.f64 #s(approx (* (- (* b b) (+ (* b b) (* c (* a -4)))) (/ 1/2 a)) (*.f64 c #s(literal 2 binary64))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (patch (/.f64 #s(approx (* (- (* b b) (+ (* b b) (* c (* a -4)))) (/ 1/2 a)) (*.f64 c #s(literal 2 binary64))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2))))) (taylor 0 b) (#s(alt (/.f64 #s(approx (* (- (* b b) (+ (* b b) (* c (* a -4)))) (/ 1/2 a)) (*.f64 c #s(literal 2 binary64))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (patch (/.f64 #s(approx (* (- (* b b) (+ (* b b) (* c (* a -4)))) (/ 1/2 a)) (*.f64 c #s(literal 2 binary64))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* 2 (* b (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2))))))) (taylor 0 b) (#s(alt (/.f64 #s(approx (* (- (* b b) (+ (* b b) (* c (* a -4)))) (/ 1/2 a)) (*.f64 c #s(literal 2 binary64))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (patch (/.f64 #s(approx (* (- (* b b) (+ (* b b) (* c (* a -4)))) (/ 1/2 a)) (*.f64 c #s(literal 2 binary64))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* b (+ (* -2 (* b (- (* 1/2 (/ 1 (* (pow a 2) (* c (pow (sqrt -4) 4))))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4))))))) (* 2 (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2))))))) (taylor 0 b) (#s(alt (/.f64 #s(approx (* (- (* b b) (+ (* b b) (* c (* a -4)))) (/ 1/2 a)) (*.f64 c #s(literal 2 binary64))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (patch (/.f64 #s(approx (* (- (* b b) (+ (* b b) (* c (* a -4)))) (/ 1/2 a)) (*.f64 c #s(literal 2 binary64))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ c b)) (taylor inf b) (#s(alt (/.f64 #s(approx (* (- (* b b) (+ (* b b) (* c (* a -4)))) (/ 1/2 a)) (*.f64 c #s(literal 2 binary64))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (patch (/.f64 #s(approx (* (- (* b b) (+ (* b b) (* c (* a -4)))) (/ 1/2 a)) (*.f64 c #s(literal 2 binary64))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b) (taylor inf b) (#s(alt (/.f64 #s(approx (* (- (* b b) (+ (* b b) (* c (* a -4)))) (/ 1/2 a)) (*.f64 c #s(literal 2 binary64))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (patch (/.f64 #s(approx (* (- (* b b) (+ (* b b) (* c (* a -4)))) (/ 1/2 a)) (*.f64 c #s(literal 2 binary64))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b) (taylor inf b) (#s(alt (/.f64 #s(approx (* (- (* b b) (+ (* b b) (* c (* a -4)))) (/ 1/2 a)) (*.f64 c #s(literal 2 binary64))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (patch (/.f64 #s(approx (* (- (* b b) (+ (* b b) (* c (* a -4)))) (/ 1/2 a)) (*.f64 c #s(literal 2 binary64))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* 2 (/ (+ (* -2 (* (pow a 3) (pow c 4))) (* -1/2 (* (pow a 3) (pow c 4)))) (pow b 6)))))) b) (taylor inf b) (#s(alt (/.f64 #s(approx (* (- (* b b) (+ (* b b) (* c (* a -4)))) (/ 1/2 a)) (*.f64 c #s(literal 2 binary64))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (patch (/.f64 #s(approx (* (- (* b b) (+ (* b b) (* c (* a -4)))) (/ 1/2 a)) (*.f64 c #s(literal 2 binary64))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ b a)) (taylor -inf b) (#s(alt (/.f64 #s(approx (* (- (* b b) (+ (* b b) (* c (* a -4)))) (/ 1/2 a)) (*.f64 c #s(literal 2 binary64))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (patch (/.f64 #s(approx (* (- (* b b) (+ (* b b) (* c (* a -4)))) (/ 1/2 a)) (*.f64 c #s(literal 2 binary64))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) (taylor -inf b) (#s(alt (/.f64 #s(approx (* (- (* b b) (+ (* b b) (* c (* a -4)))) (/ 1/2 a)) (*.f64 c #s(literal 2 binary64))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (patch (/.f64 #s(approx (* (- (* b b) (+ (* b b) (* c (* a -4)))) (/ 1/2 a)) (*.f64 c #s(literal 2 binary64))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ (* -2 (/ (+ (* -1/2 (* a (pow c 2))) (* a (pow c 2))) (pow b 4))) (+ (* -1 (/ c (pow b 2))) (/ 1 a))))) (taylor -inf b) (#s(alt (/.f64 #s(approx (* (- (* b b) (+ (* b b) (* c (* a -4)))) (/ 1/2 a)) (*.f64 c #s(literal 2 binary64))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (patch (/.f64 #s(approx (* (- (* b b) (+ (* b b) (* c (* a -4)))) (/ 1/2 a)) (*.f64 c #s(literal 2 binary64))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ (* -2 (/ (+ (* -1 (* a (* c (+ (* -1/2 (* a (pow c 2))) (* a (pow c 2)))))) (+ (* -1 (* (pow a 2) (pow c 3))) (* 1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) c))))) (pow b 6))) (+ (* -2 (/ (+ (* -1/2 (* a (pow c 2))) (* a (pow c 2))) (pow b 4))) (+ (* -1 (/ c (pow b 2))) (/ 1 a)))))) (taylor -inf b) (#s(alt (/.f64 #s(approx (* (- (* b b) (+ (* b b) (* c (* a -4)))) (/ 1/2 a)) (*.f64 c #s(literal 2 binary64))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (patch (/.f64 #s(approx (* (- (* b b) (+ (* b b) (* c (* a -4)))) (/ 1/2 a)) (*.f64 c #s(literal 2 binary64))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ c b)) (taylor 0 c) (#s(alt (/.f64 #s(approx (* (- (* b b) (+ (* b b) (* c (* a -4)))) (/ 1/2 a)) (*.f64 c #s(literal 2 binary64))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (patch (/.f64 #s(approx (* (- (* b b) (+ (* b b) (* c (* a -4)))) (/ 1/2 a)) (*.f64 c #s(literal 2 binary64))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) (taylor 0 c) (#s(alt (/.f64 #s(approx (* (- (* b b) (+ (* b b) (* c (* a -4)))) (/ 1/2 a)) (*.f64 c #s(literal 2 binary64))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (patch (/.f64 #s(approx (* (- (* b b) (+ (* b b) (* c (* a -4)))) (/ 1/2 a)) (*.f64 c #s(literal 2 binary64))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) (taylor 0 c) (#s(alt (/.f64 #s(approx (* (- (* b b) (+ (* b b) (* c (* a -4)))) (/ 1/2 a)) (*.f64 c #s(literal 2 binary64))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (patch (/.f64 #s(approx (* (- (* b b) (+ (* b b) (* c (* a -4)))) (/ 1/2 a)) (*.f64 c #s(literal 2 binary64))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* 2 (* c (+ (* -2 (/ (pow a 3) (pow b 7))) (* -1/2 (/ (pow a 3) (pow b 7)))))))))) (/ 1 b))) (taylor 0 c) (#s(alt (/.f64 #s(approx (* (- (* b b) (+ (* b b) (* c (* a -4)))) (/ 1/2 a)) (*.f64 c #s(literal 2 binary64))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (patch (/.f64 #s(approx (* (- (* b b) (+ (* b b) (* c (* a -4)))) (/ 1/2 a)) (*.f64 c #s(literal 2 binary64))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) #<representation binary64>) () ())) ())
#s(alt (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (taylor inf c) (#s(alt (/.f64 #s(approx (* (- (* b b) (+ (* b b) (* c (* a -4)))) (/ 1/2 a)) (*.f64 c #s(literal 2 binary64))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (patch (/.f64 #s(approx (* (- (* b b) (+ (* b b) (* c (* a -4)))) (/ 1/2 a)) (*.f64 c #s(literal 2 binary64))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2))))) (taylor inf c) (#s(alt (/.f64 #s(approx (* (- (* b b) (+ (* b b) (* c (* a -4)))) (/ 1/2 a)) (*.f64 c #s(literal 2 binary64))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (patch (/.f64 #s(approx (* (- (* b b) (+ (* b b) (* c (* a -4)))) (/ 1/2 a)) (*.f64 c #s(literal 2 binary64))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2)))) (* -2 (/ b (* a (pow (sqrt -4) 2))))) (taylor inf c) (#s(alt (/.f64 #s(approx (* (- (* b b) (+ (* b b) (* c (* a -4)))) (/ 1/2 a)) (*.f64 c #s(literal 2 binary64))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (patch (/.f64 #s(approx (* (- (* b b) (+ (* b b) (* c (* a -4)))) (/ 1/2 a)) (*.f64 c #s(literal 2 binary64))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -4) 4)))) (pow c 3)))) (+ (* -2 (/ b (* a (pow (sqrt -4) 2)))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3))))))) (taylor inf c) (#s(alt (/.f64 #s(approx (* (- (* b b) (+ (* b b) (* c (* a -4)))) (/ 1/2 a)) (*.f64 c #s(literal 2 binary64))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (patch (/.f64 #s(approx (* (- (* b b) (+ (* b b) (* c (* a -4)))) (/ 1/2 a)) (*.f64 c #s(literal 2 binary64))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ c a)) (sqrt -1)) (taylor -inf c) (#s(alt (/.f64 #s(approx (* (- (* b b) (+ (* b b) (* c (* a -4)))) (/ 1/2 a)) (*.f64 c #s(literal 2 binary64))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (patch (/.f64 #s(approx (* (- (* b b) (+ (* b b) (* c (* a -4)))) (/ 1/2 a)) (*.f64 c #s(literal 2 binary64))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) #<representation binary64>) () ())) ())
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#s(alt (+ (* -1 (/ (- (+ (* -1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (* -1/2 (/ (* b c) a))) c)) (* (sqrt (/ c a)) (sqrt -1))) (taylor -inf c) (#s(alt (/.f64 #s(approx (* (- (* b b) (+ (* b b) (* c (* a -4)))) (/ 1/2 a)) (*.f64 c #s(literal 2 binary64))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (patch (/.f64 #s(approx (* (- (* b b) (+ (* b b) (* c (* a -4)))) (/ 1/2 a)) (*.f64 c #s(literal 2 binary64))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (taylor inf c) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) (patch (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (/ b (* a (pow (sqrt -4) 2)))) c) (taylor inf c) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) (patch (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (pow c 2)))) (* -1 (/ b (* a (pow (sqrt -4) 2))))) c) (taylor inf c) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) (patch (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (sqrt -4)))) (* 1/2 (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -4) 4))))) (pow c 3)))) (+ (* -1 (/ b (* a (pow (sqrt -4) 2)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))))) c) (taylor inf c) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) (patch (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (taylor -inf c) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) (patch (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -1))) (* 1/4 (/ b a))) c)) (taylor -inf c) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) (patch (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ (- (+ (* -1/16 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (* 1/4 (/ (* b c) a))) c)) (* -1/2 (* (sqrt (/ c a)) (sqrt -1)))) c)) (taylor -inf c) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) (patch (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/16 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1))))))))) (* 1/32 (/ (* (pow b 3) c) (pow a 2)))) (+ (* -1/16 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))) c)) (* 1/4 (/ (* b c) a))) c)) (* -1/2 (* (sqrt (/ c a)) (sqrt -1)))) c)) (taylor -inf c) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) (patch (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor 0 a) (#s(alt (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (patch (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (+ (* -4 (* a c)) (pow b 2)) (taylor 0 a) (#s(alt (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (patch (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (+ (* -4 (* a c)) (pow b 2)) (taylor 0 a) (#s(alt (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (patch (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (+ (* -4 (* a c)) (pow b 2)) (taylor 0 a) (#s(alt (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (patch (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* -4 (* a c)) (taylor inf a) (#s(alt (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (patch (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -4 c) (/ (pow b 2) a))) (taylor inf a) (#s(alt (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (patch (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -4 c) (/ (pow b 2) a))) (taylor inf a) (#s(alt (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (patch (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -4 c) (/ (pow b 2) a))) (taylor inf a) (#s(alt (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (patch (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* -4 (* a c)) (taylor -inf a) (#s(alt (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (patch (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) (taylor -inf a) (#s(alt (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (patch (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) (taylor -inf a) (#s(alt (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (patch (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) (taylor -inf a) (#s(alt (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (patch (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor 0 c) (#s(alt (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (patch (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (+ (* -4 (* a c)) (pow b 2)) (taylor 0 c) (#s(alt (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (patch (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (+ (* -4 (* a c)) (pow b 2)) (taylor 0 c) (#s(alt (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (patch (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (+ (* -4 (* a c)) (pow b 2)) (taylor 0 c) (#s(alt (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (patch (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* -4 (* a c)) (taylor inf c) (#s(alt (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (patch (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -4 a) (/ (pow b 2) c))) (taylor inf c) (#s(alt (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (patch (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -4 a) (/ (pow b 2) c))) (taylor inf c) (#s(alt (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (patch (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -4 a) (/ (pow b 2) c))) (taylor inf c) (#s(alt (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (patch (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* -4 (* a c)) (taylor -inf c) (#s(alt (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (patch (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) (taylor -inf c) (#s(alt (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (patch (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) (taylor -inf c) (#s(alt (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (patch (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) (taylor -inf c) (#s(alt (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (patch (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* -4 (* a c)) (taylor 0 b) (#s(alt (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (patch (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (+ (* -4 (* a c)) (pow b 2)) (taylor 0 b) (#s(alt (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (patch (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (+ (* -4 (* a c)) (pow b 2)) (taylor 0 b) (#s(alt (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (patch (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (+ (* -4 (* a c)) (pow b 2)) (taylor 0 b) (#s(alt (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (patch (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor inf b) (#s(alt (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (patch (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) (taylor inf b) (#s(alt (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (patch (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) (taylor inf b) (#s(alt (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (patch (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) (taylor inf b) (#s(alt (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (patch (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor -inf b) (#s(alt (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (patch (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) (taylor -inf b) (#s(alt (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (patch (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) (taylor -inf b) (#s(alt (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (patch (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) (taylor -inf b) (#s(alt (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (patch (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) #<representation binary64>) () ())) ())
Calls

195 calls:

TimeVariablePointExpression
11.0ms
c
@0
(/ b (neg c))
3.0ms
c
@-inf
(* (* 1/2 (- 0 (* a (* c -4)))) (/ 1 (- (neg b) (sqrt (+ (* a (* c -4)) (* b b))))))
3.0ms
b
@inf
(/ b (neg c))
2.0ms
c
@inf
(/ 1 (- (neg b) (sqrt (+ (* a (* c -4)) (* b b)))))
1.0ms
a
@inf
(* c (/ (* a -2) b))

simplify745.0ms (6.3%)

Memory
-5.9MiB live, 873.1MiB allocated
Algorithm
egg-herbie
Rules
7 320×lower-*.f64
7 320×lower-*.f32
6 820×lower-fma.f64
6 820×lower-fma.f32
3 946×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0132413149
1446212662
0821112234
Stop Event
iter limit
node limit
Counts
780 → 777
Calls
Call 1
Inputs
(* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2)))))
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* 2 (* b (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2)))))))
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* b (+ (* -2 (* b (- (* 1/2 (/ 1 (* (pow a 2) (* c (pow (sqrt -4) 4))))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4))))))) (* 2 (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2)))))))
(* -1 (/ c b))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* 2 (/ (+ (* -2 (* (pow a 3) (pow c 4))) (* -1/2 (* (pow a 3) (pow c 4)))) (pow b 6)))))) b)
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -2 (/ (+ (* -1/2 (* a (pow c 2))) (* a (pow c 2))) (pow b 4))) (+ (* -1 (/ c (pow b 2))) (/ 1 a)))))
(* -1 (* b (+ (* -2 (/ (+ (* -1 (* a (* c (+ (* -1/2 (* a (pow c 2))) (* a (pow c 2)))))) (+ (* -1 (* (pow a 2) (pow c 3))) (* 1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) c))))) (pow b 6))) (+ (* -2 (/ (+ (* -1/2 (* a (pow c 2))) (* a (pow c 2))) (pow b 4))) (+ (* -1 (/ c (pow b 2))) (/ 1 a))))))
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* 2 (* c (+ (* -2 (/ (pow a 3) (pow b 7))) (* -1/2 (/ (pow a 3) (pow b 7)))))))))) (/ 1 b)))
(* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2)))))
(- (+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2)))) (* -2 (/ b (* a (pow (sqrt -4) 2)))))
(- (+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -4) 4)))) (pow c 3)))) (+ (* -2 (/ b (* a (pow (sqrt -4) 2)))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (- (+ (* -1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (* -1/2 (/ (* b c) a))) c)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1))))))))) (* -1/16 (/ (* (pow b 3) c) (pow a 2)))) (+ (* -1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))) c)) (* -1/2 (/ (* b c) a))) c)) (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* 2 (* a (+ (* -2 (/ (pow c 4) (pow b 7))) (* -1/2 (/ (pow c 4) (pow b 7)))))))))))
(* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))) a)
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 2 (/ b (pow (sqrt -4) 2))) (* 2 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))))) a)
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 2 (/ b (pow (sqrt -4) 2))) (+ (* 2 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (* -1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt -4) 4))))) (pow a 3))) (* 2 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2)))))) a)
(* (sqrt (/ c a)) (sqrt -1))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* 1/2 b)) a))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -2 (/ (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))) a)) (* -1/2 (* a b))) a))) a))
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(* 2 c)
(* 2 c)
(* 2 c)
(* 2 c)
(* 2 c)
(* 2 c)
(* 2 c)
(* 2 c)
(* 2 c)
(* 2 c)
(* 2 c)
(* 2 c)
(* 2 c)
(* 2 c)
(* 2 c)
(* 2 c)
(* 2 c)
(* 2 c)
(* 2 c)
(* 2 c)
(* 2 c)
(* 2 c)
(* 2 c)
(* 2 c)
(* 2 c)
(* 2 c)
(* 2 c)
(* 2 c)
(* 2 c)
(* 2 c)
(* 2 c)
(* 2 c)
(* 2 c)
(* 2 c)
(* 2 c)
(* 2 c)
(* 2 c)
(* 2 c)
(* 2 c)
(* 2 c)
(* 2 c)
(* 2 c)
(* 2 c)
(* 2 c)
(* 2 c)
(* 2 c)
(* 2 c)
(* 2 c)
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(- (* -1 b) (* (sqrt (* a c)) (sqrt -4)))
(- (* b (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(- (* b (- (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(* -2 b)
(* b (- (* 2 (/ (* a c) (pow b 2))) 2))
(* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -2 (/ (* a c) b))
(* -1 (/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) b))
(* -1 (/ (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))
(* -1 (/ (- (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b))
(* -2 b)
(- (* 2 (/ (* a c) b)) (* 2 b))
(- (* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) (* 2 b))
(- (* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) (* 2 b))
(* -1 (* (sqrt (* a c)) (sqrt -4)))
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(* c (- (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))
(* c (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))))
(* 2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (- (/ b c) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -2 b)
(- (* 2 (/ (* a c) b)) (* 2 b))
(- (* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) (* 2 b))
(- (* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) (* 2 b))
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))
(* a (- (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))))
(* 2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (- (/ b a) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
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(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
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(* -1 (/ c b))
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(* -1 (/ c b))
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(* -1 (/ c b))
(* -1 (/ c b))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))
(* -1 (/ c b))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
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(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
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(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
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(* -1 (/ c b))
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(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (/ b c))
(* -1 (/ b c))
(* -1 (/ b c))
(* -1 (/ b c))
(* -1 (/ b c))
(* -1 (/ b c))
(* -1 (/ b c))
(* -1 (/ b c))
(* -1 (/ b c))
(* -1 (/ b c))
(* -1 (/ b c))
(* -1 (/ b c))
(* -1 (/ b c))
(* -1 (/ b c))
(* -1 (/ b c))
(* -1 (/ b c))
(* -1 (/ b c))
(* -1 (/ b c))
(* -1 (/ b c))
(* -1 (/ b c))
(* -1 (/ b c))
(* -1 (/ b c))
(* -1 (/ b c))
(* -1 (/ b c))
(* -1 c)
(* -1 c)
(* -1 c)
(* -1 c)
(* -1 c)
(* -1 c)
(* -1 c)
(* -1 c)
(* -1 c)
(* -1 c)
(* -1 c)
(* -1 c)
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))
(* -1 (/ c b))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* (sqrt (* a c)) (sqrt -4))
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(* -2 (/ (* a c) b))
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
(* -2 b)
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -2 (/ (* a c) b))
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -2 (/ (* a c) b))
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c)))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
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(/ (- (* -1 (/ (* a c) (pow b 2))) 1) b)
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(* (sqrt (/ c a)) (sqrt -1))
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(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* 2 (/ (+ (* -2 (* (pow a 3) (pow c 4))) (* -1/2 (* (pow a 3) (pow c 4)))) (pow b 6)))))) b)
(* -1 (/ b a))
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(* a (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))))
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(* (sqrt (* a c)) (sqrt -1))
(+ (* -1/2 b) (* (sqrt (* a c)) (sqrt -1)))
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(* -1 (/ (* a c) b))
(* c (+ (* -1 (/ a b)) (* -1 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -1 (/ a b)) (* c (+ (* -2 (/ (* (pow a 3) c) (pow b 5))) (* -1 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -1 (/ a b)) (* c (+ (* -1 (/ (pow a 2) (pow b 3))) (* c (+ (* -2 (/ (pow a 3) (pow b 5))) (* 2 (* c (+ (* -2 (/ (pow a 4) (pow b 7))) (* -1/2 (/ (pow a 4) (pow b 7))))))))))))
(* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4))))
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(* (sqrt (* a c)) (sqrt -1))
(+ (* -1/2 b) (* (sqrt (* a c)) (sqrt -1)))
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(+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))))) (* 2 (/ (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1))))))))) (* -1/32 (/ (* (pow b 3) (pow c 2)) a))) c))) c)) (* 1/2 (* b c))) c)) (* (sqrt (* a c)) (sqrt -1)))
(* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4))))
(+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2))))
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(+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* b (+ (* b (+ (* -2 (* b (- (* 1/2 (/ 1 (* a (* c (pow (sqrt -4) 4))))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4))))))) (* 2 (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3)))))))) (* 2 (/ 1 (pow (sqrt -4) 2))))))
(* -1 (/ (* a c) b))
(/ (+ (* -1 (* a c)) (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -1 (* a c)) (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -1 (* a c)) (+ (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 2 (/ (+ (* -2 (* (pow a 4) (pow c 4))) (* -1/2 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
(* -1 b)
(* -1 (* b (+ 1 (* -1 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -2 (/ (+ (* -1/2 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2))) (pow b 4))) (* -1 (/ (* a c) (pow b 2)))))))
(* -1 (* b (+ 1 (+ (* -2 (/ (+ (* -1 (* a (* c (+ (* -1/2 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))))) (+ (* -1 (* (pow a 3) (pow c 3))) (* 1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a c))))) (pow b 6))) (+ (* -2 (/ (+ (* -1/2 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2))) (pow b 4))) (* -1 (/ (* a c) (pow b 2))))))))
(* 2 (* a c))
(* 2 (* a c))
(* 2 (* a c))
(* 2 (* a c))
(* 2 (* a c))
(* 2 (* a c))
(* 2 (* a c))
(* 2 (* a c))
(* 2 (* a c))
(* 2 (* a c))
(* 2 (* a c))
(* 2 (* a c))
(* 2 (* a c))
(* 2 (* a c))
(* 2 (* a c))
(* 2 (* a c))
(* 2 (* a c))
(* 2 (* a c))
(* 2 (* a c))
(* 2 (* a c))
(* 2 (* a c))
(* 2 (* a c))
(* 2 (* a c))
(* 2 (* a c))
(* 4 (* a c))
(* 4 (* a c))
(* 4 (* a c))
(* 4 (* a c))
(* 4 (* a c))
(* 4 (* a c))
(* 4 (* a c))
(* 4 (* a c))
(* 4 (* a c))
(* 4 (* a c))
(* 4 (* a c))
(* 4 (* a c))
(* 4 (* a c))
(* 4 (* a c))
(* 4 (* a c))
(* 4 (* a c))
(* 4 (* a c))
(* 4 (* a c))
(* 4 (* a c))
(* 4 (* a c))
(* 4 (* a c))
(* 4 (* a c))
(* 4 (* a c))
(* 4 (* a c))
(* (sqrt (* a c)) (sqrt -4))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))
b
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 b)
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
(* -4 (* a c))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(pow b 2)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(pow b 2)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* -4 (* a c))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* -4 (* a c))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* -4 (* a c))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* -4 (* a c))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(/ c (pow b 3))
(/ c (pow b 3))
(/ c (pow b 3))
(/ c (pow b 3))
(/ c (pow b 3))
(/ c (pow b 3))
(/ c (pow b 3))
(/ c (pow b 3))
(/ c (pow b 3))
(/ c (pow b 3))
(/ c (pow b 3))
(/ c (pow b 3))
(/ c (pow b 3))
(/ c (pow b 3))
(/ c (pow b 3))
(/ c (pow b 3))
(/ c (pow b 3))
(/ c (pow b 3))
(/ c (pow b 3))
(/ c (pow b 3))
(/ c (pow b 3))
(/ c (pow b 3))
(/ c (pow b 3))
(/ c (pow b 3))
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(* -1 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))
(+ (* -1 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (/ b (* a (* c (pow (sqrt -4) 2)))))
(+ (* -1 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* b (+ (* -1 (* b (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))))) (/ 1 (* a (* c (pow (sqrt -4) 2)))))))
(+ (* -1 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* b (+ (* b (- (* -1 (* b (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (sqrt -4)))) (* 1/2 (/ 1 (* (pow a 2) (* (pow c 2) (pow (sqrt -4) 4)))))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))))) (/ 1 (* a (* c (pow (sqrt -4) 2)))))))
(/ -1/2 b)
(/ (- (* -1/2 (/ (* a c) (pow b 2))) 1/2) b)
(/ (- (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 1/2 (* 1/2 (/ (* a c) (pow b 2))))) b)
(/ (- (* -1 (/ (+ (* 1/2 (* (pow a 3) (pow c 3))) (* 2 (* (pow a 3) (pow c 3)))) (pow b 6))) (+ 1/2 (+ (* 1/2 (/ (* a c) (pow b 2))) (/ (* (pow a 2) (pow c 2)) (pow b 4))))) b)
(* -1/2 (/ b (* a c)))
(* -1 (* b (- (* 1/2 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b 2))))))
(* -1 (* b (- (+ (* -1 (/ (+ (* -1/2 (* a c)) (* a c)) (pow b 4))) (* 1/2 (/ 1 (* a c)))) (* 1/2 (/ 1 (pow b 2))))))
(* -1 (* b (- (+ (* -1 (/ (+ (* -1 (* a (* c (+ (* -1/2 (* a c)) (* a c))))) (+ (* -1 (* (pow a 2) (pow c 2))) (* 1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) (pow c 2)))))) (pow b 6))) (* 1/2 (/ 1 (* a c)))) (+ (* -1/2 (/ (* a c) (pow b 4))) (+ (* 1/2 (/ 1 (pow b 2))) (/ (* a c) (pow b 4)))))))
(/ -1/2 b)
(- (* -1/2 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))
(- (* a (- (* -1 (/ (* a (pow c 2)) (pow b 5))) (* 1/2 (/ c (pow b 3))))) (* 1/2 (/ 1 b)))
(- (* a (- (* a (- (* -1 (* a (+ (* 1/2 (/ (pow c 3) (pow b 7))) (* 2 (/ (pow c 3) (pow b 7)))))) (/ (pow c 2) (pow b 5)))) (* 1/2 (/ c (pow b 3))))) (* 1/2 (/ 1 b)))
(* -1 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))
(/ (+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (/ b (* c (pow (sqrt -4) 2)))) a)
(/ (- (+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (pow a 2)))) (* -1 (/ b (* c (pow (sqrt -4) 2))))) a)
(/ (- (+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (sqrt -4)))) (* 1/2 (/ (* (pow a 2) (pow b 3)) (* (pow c 2) (pow (sqrt -4) 4))))) (pow a 3)))) (+ (* -1 (/ b (* c (pow (sqrt -4) 2)))) (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) a)
(* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))
(* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (sqrt -1))) (* 1/4 (/ b c))) a))
(* -1 (/ (+ (* -1 (/ (- (+ (* -1/16 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1))))) (* 1/4 (/ (* a b) c))) a)) (* -1/2 (* (sqrt (/ a c)) (sqrt -1)))) a))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/16 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1))))))))) (* 1/32 (/ (* a (pow b 3)) (pow c 2)))) (+ (* -1/16 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))))) a)) (* 1/4 (/ (* a b) c))) a)) (* -1/2 (* (sqrt (/ a c)) (sqrt -1)))) a))
(/ -1/2 b)
(- (* -1/2 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))
(- (* c (- (* -1 (/ (* (pow a 2) c) (pow b 5))) (* 1/2 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))
(- (* c (- (* c (- (* -1 (* c (+ (* 1/2 (/ (pow a 3) (pow b 7))) (* 2 (/ (pow a 3) (pow b 7)))))) (/ (pow a 2) (pow b 5)))) (* 1/2 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))
(* -1 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))
(/ (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (/ b (* a (pow (sqrt -4) 2)))) c)
(/ (- (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (pow c 2)))) (* -1 (/ b (* a (pow (sqrt -4) 2))))) c)
(/ (- (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (sqrt -4)))) (* 1/2 (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -4) 4))))) (pow c 3)))) (+ (* -1 (/ b (* a (pow (sqrt -4) 2)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))))) c)
(* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))
(* -1 (/ (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -1))) (* 1/4 (/ b a))) c))
(* -1 (/ (+ (* -1 (/ (- (+ (* -1/16 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (* 1/4 (/ (* b c) a))) c)) (* -1/2 (* (sqrt (/ c a)) (sqrt -1)))) c))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/16 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1))))))))) (* 1/32 (/ (* (pow b 3) c) (pow a 2)))) (+ (* -1/16 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))) c)) (* 1/4 (/ (* b c) a))) c)) (* -1/2 (* (sqrt (/ c a)) (sqrt -1)))) c))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* -4 (* a c))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* -4 (* a c))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* -4 (* a c))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* -4 (* a c))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* -4 (* a c))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(pow b 2)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(pow b 2)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
Outputs
(* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
(*.f64 #s(literal -2 binary64) (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2)))))
(fma.f64 #s(literal -2 binary64) (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 b a)))
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* 2 (* b (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2)))))))
(fma.f64 b (fma.f64 (*.f64 #s(literal 2 binary64) b) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) #s(literal -1/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 a #s(literal -4 binary64)))) (*.f64 #s(literal -2 binary64) (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))))
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* b (+ (* -2 (* b (- (* 1/2 (/ 1 (* (pow a 2) (* c (pow (sqrt -4) 4))))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4))))))) (* 2 (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2)))))))
(fma.f64 b (fma.f64 b (fma.f64 (*.f64 #s(literal -2 binary64) b) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) (*.f64 c (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 4 binary64))))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) #s(literal -1/2 binary64))) (sqrt.f64 #s(literal -4 binary64)))) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) #s(literal -1/2 binary64)))) (/.f64 #s(literal 2 binary64) (*.f64 a #s(literal -4 binary64)))) (*.f64 #s(literal -2 binary64) (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))))
(* -1 (/ c b))
(/.f64 c (neg.f64 b))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c) (neg.f64 b))
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 a a) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 4 binary64))) (neg.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* 2 (/ (+ (* -2 (* (pow a 3) (pow c 4))) (* -1/2 (* (pow a 3) (pow c 4)))) (pow b 6)))))) b)
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(* -1 (/ (+ (* -1 (/ (- (+ (* -1/16 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1))))) (* 1/4 (/ (* a b) c))) a)) (* -1/2 (* (sqrt (/ a c)) (sqrt -1)))) a))
(/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a (*.f64 c (*.f64 c c))))) #s(literal 1/16 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 a b) c))) a)) (neg.f64 a))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/16 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1))))))))) (* 1/32 (/ (* a (pow b 3)) (pow c 2)))) (+ (* -1/16 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))))) a)) (* 1/4 (/ (* a b) c))) a)) (* -1/2 (* (sqrt (/ a c)) (sqrt -1)))) a))
(/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))) (/.f64 (+.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))))) #s(literal 1/16 binary64))) (fma.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 a (*.f64 b (*.f64 b b))) (*.f64 c c)) (*.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c)))))))) (neg.f64 a)) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 a b) c))) a)) (neg.f64 a))
(/ -1/2 b)
(/.f64 #s(literal -1/2 binary64) b)
(- (* -1/2 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 c (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1/2 binary64) b))
(- (* c (- (* -1 (/ (* (pow a 2) c) (pow b 5))) (* 1/2 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))
(fma.f64 c (fma.f64 (neg.f64 (*.f64 a a)) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 a (*.f64 b (*.f64 b b))))) (/.f64 #s(literal -1/2 binary64) b))
(- (* c (- (* c (- (* -1 (* c (+ (* 1/2 (/ (pow a 3) (pow b 7))) (* 2 (/ (pow a 3) (pow b 7)))))) (/ (pow a 2) (pow b 5)))) (* 1/2 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))
(fma.f64 c (fma.f64 c (neg.f64 (fma.f64 c (*.f64 (/.f64 (*.f64 a (*.f64 a a)) (pow.f64 b #s(literal 7 binary64))) #s(literal 5/2 binary64)) (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))))) (*.f64 #s(literal -1/2 binary64) (/.f64 a (*.f64 b (*.f64 b b))))) (/.f64 #s(literal -1/2 binary64) b))
(* -1 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))
(neg.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -4 binary64))))
(/ (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (/ b (* a (pow (sqrt -4) 2)))) c)
(/.f64 (-.f64 (/.f64 b (*.f64 a #s(literal -4 binary64))) (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))) c)
(/ (- (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (pow c 2)))) (* -1 (/ b (* a (pow (sqrt -4) 2))))) c)
(/.f64 (+.f64 (-.f64 (/.f64 (sqrt.f64 (/.f64 c a)) (neg.f64 (sqrt.f64 #s(literal -4 binary64)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 a a)))) (/.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))))) (*.f64 c c))) (/.f64 b (*.f64 a #s(literal -4 binary64)))) c)
(/ (- (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (sqrt -4)))) (* 1/2 (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -4) 4))))) (pow c 3)))) (+ (* -1 (/ b (* a (pow (sqrt -4) 2)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))))) c)
(/.f64 (-.f64 (-.f64 (/.f64 (sqrt.f64 (/.f64 c a)) (neg.f64 (sqrt.f64 #s(literal -4 binary64)))) (/.f64 (fma.f64 (/.f64 (*.f64 b (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 a a)))) (/.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64))))))) (sqrt.f64 #s(literal -4 binary64))) (neg.f64 (sqrt.f64 (/.f64 c a))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b (*.f64 b b)) (/.f64 (*.f64 c c) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 4 binary64))))))) (*.f64 c (*.f64 c c)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 b b)) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) (*.f64 (/.f64 b a) #s(literal 1/4 binary64)))) c)
(* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64))))
(* -1 (/ (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -1))) (* 1/4 (/ b a))) c))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (/.f64 b a) #s(literal 1/4 binary64))) (neg.f64 c))
(* -1 (/ (+ (* -1 (/ (- (+ (* -1/16 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (* 1/4 (/ (* b c) a))) c)) (* -1/2 (* (sqrt (/ c a)) (sqrt -1)))) c))
(/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 c (*.f64 a (*.f64 a a)))) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/16 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 c b) a))) c)) (neg.f64 c))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/16 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1))))))))) (* 1/32 (/ (* (pow b 3) c) (pow a 2)))) (+ (* -1/16 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))) c)) (* 1/4 (/ (* b c) a))) c)) (* -1/2 (* (sqrt (/ c a)) (sqrt -1)))) c))
(/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (+.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 a a)))) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/16 binary64))) (fma.f64 (/.f64 (*.f64 c (*.f64 b (*.f64 b b))) (*.f64 a a)) #s(literal 1/32 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 a a)))) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/16 binary64)))) (neg.f64 c)) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 c b) a))) c)) (neg.f64 c))
(pow b 2)
(*.f64 b b)
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))
(* -4 (* a c))
(*.f64 #s(literal -4 binary64) (*.f64 c a))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(*.f64 a (fma.f64 c #s(literal -4 binary64) (/.f64 (*.f64 b b) a)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(*.f64 a (fma.f64 c #s(literal -4 binary64) (/.f64 (*.f64 b b) a)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(*.f64 a (fma.f64 c #s(literal -4 binary64) (/.f64 (*.f64 b b) a)))
(* -4 (* a c))
(*.f64 #s(literal -4 binary64) (*.f64 c a))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(*.f64 (neg.f64 a) (-.f64 (*.f64 c #s(literal 4 binary64)) (/.f64 (*.f64 b b) a)))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(*.f64 (neg.f64 a) (-.f64 (*.f64 c #s(literal 4 binary64)) (/.f64 (*.f64 b b) a)))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(*.f64 (neg.f64 a) (-.f64 (*.f64 c #s(literal 4 binary64)) (/.f64 (*.f64 b b) a)))
(pow b 2)
(*.f64 b b)
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))
(* -4 (* a c))
(*.f64 #s(literal -4 binary64) (*.f64 c a))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(*.f64 c (fma.f64 a #s(literal -4 binary64) (/.f64 (*.f64 b b) c)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(*.f64 c (fma.f64 a #s(literal -4 binary64) (/.f64 (*.f64 b b) c)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(*.f64 c (fma.f64 a #s(literal -4 binary64) (/.f64 (*.f64 b b) c)))
(* -4 (* a c))
(*.f64 #s(literal -4 binary64) (*.f64 c a))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(*.f64 (neg.f64 c) (-.f64 (*.f64 a #s(literal 4 binary64)) (/.f64 (*.f64 b b) c)))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(*.f64 (neg.f64 c) (-.f64 (*.f64 a #s(literal 4 binary64)) (/.f64 (*.f64 b b) c)))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(*.f64 (neg.f64 c) (-.f64 (*.f64 a #s(literal 4 binary64)) (/.f64 (*.f64 b b) c)))
(* -4 (* a c))
(*.f64 #s(literal -4 binary64) (*.f64 c a))
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(*.f64 (*.f64 b b) (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 c a) (*.f64 b b)) #s(literal 1 binary64)))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(*.f64 (*.f64 b b) (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 c a) (*.f64 b b)) #s(literal 1 binary64)))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(*.f64 (*.f64 b b) (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 c a) (*.f64 b b)) #s(literal 1 binary64)))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(*.f64 (*.f64 b b) (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 c a) (*.f64 b b)) #s(literal 1 binary64)))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(*.f64 (*.f64 b b) (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 c a) (*.f64 b b)) #s(literal 1 binary64)))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(*.f64 (*.f64 b b) (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 c a) (*.f64 b b)) #s(literal 1 binary64)))

rewrite381.0ms (3.2%)

Memory
4.6MiB live, 918.0MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 296×lower-/.f32
4 278×lower-/.f64
3 792×lower-fma.f32
3 786×lower-fma.f64
3 638×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
063345
098321
1349283
22917283
08836280
Stop Event
iter limit
node limit
iter limit
Counts
27 → 1 090
Calls
Call 1
Inputs
(/.f64 #s(approx (* (- (* b b) (+ (* b b) (* c (* a -4)))) (/ 1/2 a)) (*.f64 c #s(literal 2 binary64))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
#s(approx (* (- (* b b) (+ (* b b) (* c (* a -4)))) (/ 1/2 a)) (*.f64 c #s(literal 2 binary64)))
(*.f64 c #s(literal 2 binary64))
(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 b (neg.f64 c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 b (neg.f64 c))))
(/.f64 b (neg.f64 c))
(neg.f64 c)
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b))) (*.f64 #s(literal 2 binary64) a))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b)))
(*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b))
(/.f64 (*.f64 a #s(literal -2 binary64)) b)
(*.f64 c (fma.f64 (neg.f64 a) (/.f64 c (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1 binary64) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 c (fma.f64 (neg.f64 a) (/.f64 c (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1 binary64) b))))
(fma.f64 (neg.f64 a) (/.f64 c (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1 binary64) b))
(neg.f64 a)
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))) a)
(*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))))
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c #s(literal -4 binary64)))))
(-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c #s(literal -4 binary64))))
(sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))
(fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))
(*.f64 #s(literal 2 binary64) a)
(/.f64 c (*.f64 b (*.f64 b b)))
(*.f64 b (*.f64 b b))
(/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))) #s(approx (* (- (* b b) (+ (* b b) (* c (* a -4)))) (/ 1/2 a)) (*.f64 c #s(literal 2 binary64))))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))))) (/.f64 #s(approx (* (- (* b b) (+ (* b b) (* c (* a -4)))) (/ 1/2 a)) (*.f64 c #s(literal 2 binary64))) (neg.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))))))
(neg.f64 (/.f64 #s(approx (* (- (* b b) (+ (* b b) (* c (* a -4)))) (/ 1/2 a)) (*.f64 c #s(literal 2 binary64))) (neg.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))))))
(neg.f64 (/.f64 (neg.f64 #s(approx (* (- (* b b) (+ (* b b) (* c (* a -4)))) (/ 1/2 a)) (*.f64 c #s(literal 2 binary64)))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))))
(/.f64 #s(approx (* (- (* b b) (+ (* b b) (* c (* a -4)))) (/ 1/2 a)) (*.f64 c #s(literal 2 binary64))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))) #s(approx (* (- (* b b) (+ (* b b) (* c (* a -4)))) (/ 1/2 a)) (*.f64 c #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))) #s(approx (* (- (* b b) (+ (* b b) (* c (* a -4)))) (/ 1/2 a)) (*.f64 c #s(literal 2 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))) #s(approx (* (- (* b b) (+ (* b b) (* c (* a -4)))) (/ 1/2 a)) (*.f64 c #s(literal 2 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))) #s(approx (* (- (* b b) (+ (* b b) (* c (* a -4)))) (/ 1/2 a)) (*.f64 c #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))) #s(approx (* (- (* b b) (+ (* b b) (* c (* a -4)))) (/ 1/2 a)) (*.f64 c #s(literal 2 binary64)))) #s(literal 1 binary64))))
(/.f64 (neg.f64 #s(approx (* (- (* b b) (+ (* b b) (* c (* a -4)))) (/ 1/2 a)) (*.f64 c #s(literal 2 binary64)))) (neg.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))))
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(/.f64 (sqrt.f64 (*.f64 (*.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (*.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))))) (sqrt.f64 (*.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)))))
(/.f64 (sqrt.f64 (*.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 #s(literal -64 binary64) (*.f64 c (*.f64 c c))))))) (sqrt.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 (neg.f64 b) b))))))
(/.f64 (sqrt.f64 (*.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) (*.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))))) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))))
(/.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 #s(literal -64 binary64) (*.f64 c (*.f64 c c))))) (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))) (sqrt.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 (neg.f64 b) b))))))
(/.f64 (sqrt.f64 (*.f64 (*.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 16 binary64) (*.f64 (*.f64 c a) (*.f64 c a))) (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 (neg.f64 b) b))) (*.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 (neg.f64 b) b)) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 (neg.f64 b) b)) (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 (neg.f64 b) b))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 (*.f64 c (*.f64 a #s(literal 4 binary64))) (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 (fma.f64 (*.f64 c (*.f64 a #s(literal 4 binary64))) (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 #s(literal -64 binary64) (*.f64 c (*.f64 c c)))))) (*.f64 (fma.f64 (*.f64 c (*.f64 a #s(literal 4 binary64))) (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 (*.f64 c (*.f64 a #s(literal 4 binary64))) (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) (*.f64 b (*.f64 b (*.f64 b b))))))
(/.f64 (-.f64 (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (*.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) (*.f64 #s(literal 16 binary64) (*.f64 (*.f64 c a) (*.f64 c a))))) (*.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 #s(literal -64 binary64) (*.f64 c (*.f64 c c))))))) (neg.f64 (neg.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 (neg.f64 b) b)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 #s(literal -64 binary64) (*.f64 c (*.f64 c c))))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 c (*.f64 a #s(literal 4 binary64))) (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) (*.f64 b (*.f64 b (*.f64 b b)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 #s(literal -64 binary64) (*.f64 c (*.f64 c c))))))) (neg.f64 (neg.f64 (fma.f64 #s(literal 16 binary64) (*.f64 (*.f64 c a) (*.f64 c a)) (*.f64 (*.f64 b b) (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))))) (neg.f64 (neg.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 16 binary64) (*.f64 (*.f64 c a) (*.f64 c a)) (neg.f64 (*.f64 b (*.f64 b (*.f64 b b))))))) (neg.f64 (neg.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 (neg.f64 b) b)))))
(pow.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) #s(literal 2 binary64))
(pow.f64 (*.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) #s(literal 1/2 binary64))
(pow.f64 (neg.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 16 binary64) (*.f64 (*.f64 c a) (*.f64 c a)) (*.f64 (*.f64 b b) (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)))) (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 #s(literal -64 binary64) (*.f64 c (*.f64 c c)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 (neg.f64 b) b)) (fma.f64 #s(literal 16 binary64) (*.f64 (*.f64 c a) (*.f64 c a)) (neg.f64 (*.f64 b (*.f64 b (*.f64 b b)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 c (*.f64 a #s(literal 4 binary64))) (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 #s(literal -64 binary64) (*.f64 c (*.f64 c c)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 (neg.f64 b) b)))) (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 #s(literal -64 binary64) (*.f64 c (*.f64 c c)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) (*.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)))) #s(literal -1 binary64))
(*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))
(*.f64 (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 #s(literal -64 binary64) (*.f64 c (*.f64 c c))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 16 binary64) (*.f64 (*.f64 c a) (*.f64 c a)) (*.f64 (*.f64 b b) (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))))))
(*.f64 (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 #s(literal -64 binary64) (*.f64 c (*.f64 c c))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c (*.f64 a #s(literal 4 binary64))) (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) (*.f64 b (*.f64 b (*.f64 b b))))))
(*.f64 (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 #s(literal -64 binary64) (*.f64 c (*.f64 c c))))) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 (neg.f64 b) b))))))
(*.f64 (neg.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))) (neg.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))))
(*.f64 (*.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (/.f64 #s(literal 1 binary64) (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))))
(*.f64 (fma.f64 #s(literal 16 binary64) (*.f64 (*.f64 c a) (*.f64 c a)) (neg.f64 (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 #s(literal 1 binary64) (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 (neg.f64 b) b))))
(*.f64 (pow.f64 (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 #s(literal -64 binary64) (*.f64 c (*.f64 c c))))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 16 binary64) (*.f64 (*.f64 c a) (*.f64 c a)) (*.f64 (*.f64 b b) (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 #s(literal -64 binary64) (*.f64 c (*.f64 c c))))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 (neg.f64 b) b))))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 #s(literal -64 binary64) (*.f64 c (*.f64 c c))))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c (*.f64 a #s(literal 4 binary64))) (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) (*.f64 b (*.f64 b (*.f64 b b))))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fma.f64 #s(literal 16 binary64) (*.f64 (*.f64 c a) (*.f64 c a)) (neg.f64 (*.f64 b (*.f64 b (*.f64 b b))))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 (neg.f64 b) b))) #s(literal 1 binary64)))

eval269.0ms (2.3%)

Memory
9.5MiB live, 883.2MiB allocated
Compiler

Compiled 53 617 to 4 953 computations (90.8% saved)

prune314.0ms (2.7%)

Memory
14.8MiB live, 982.1MiB allocated
Pruning

32 alts after pruning (27 fresh and 5 done)

PrunedKeptTotal
New1 844231 867
Fresh10414
Picked325
Done134
Total1 858321 890
Accuracy
100.0%
Counts
1 890 → 32
Alt Table
Click to see full alt table
StatusAccuracyProgram
34.0%
(fma.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (neg.f64 b)))
32.7%
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) b) (*.f64 a #s(literal 2 binary64)))
99.3%
(/.f64 (*.f64 (*.f64 c (*.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))))) a)
99.4%
(/.f64 (*.f64 c (*.f64 a #s(literal 4 binary64))) (*.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))))
80.2%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 c a) (/.f64 #s(literal -2 binary64) b))) (*.f64 #s(literal 2 binary64) a))
80.3%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b))) (*.f64 #s(literal 2 binary64) a))
80.2%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 c (*.f64 (/.f64 #s(literal -2 binary64) b) a))) (*.f64 #s(literal 2 binary64) a))
99.6%
(/.f64 #s(approx (* (- (* b b) (+ (* b b) (* c (* a -4)))) (/ 1/2 a)) (*.f64 c #s(literal 2 binary64))) (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 0 binary64) b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) (*.f64 (+.f64 #s(literal 0 binary64) b) #s(literal 1 binary64))))
99.7%
(/.f64 #s(approx (* (- (* b b) (+ (* b b) (* c (* a -4)))) (/ 1/2 a)) (*.f64 c #s(literal 2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) (*.f64 (/.f64 #s(literal -1 binary64) b) #s(literal 1 binary64))))
99.8%
(/.f64 #s(approx (* (- (* b b) (+ (* b b) (* c (* a -4)))) (/ 1/2 a)) (*.f64 c #s(literal 2 binary64))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))))
99.8%
(/.f64 #s(approx (* (- (* b b) (+ (* b b) (* c (* a -4)))) (/ 1/2 a)) (*.f64 c #s(literal 2 binary64))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
99.8%
(/.f64 #s(approx (* (- (* b b) (+ (* b b) (* c (* a -4)))) (/ 1/2 a)) (*.f64 c #s(literal 2 binary64))) (-.f64 (neg.f64 b) (sqrt.f64 (/.f64 (fma.f64 #s(literal 16 binary64) (*.f64 (*.f64 c a) (*.f64 c a)) (neg.f64 (*.f64 b (*.f64 b (*.f64 b b))))) (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 (neg.f64 b) b))))))
90.8%
(/.f64 #s(approx (* (- (* b b) (+ (* b b) (* c (* a -4)))) (/ 1/2 a)) (*.f64 c #s(literal 2 binary64))) (-.f64 (neg.f64 b) #s(approx (sqrt (+ (* b b) (* c (* a -4)))) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 c a) b) b))))
90.8%
(/.f64 #s(approx (* (- (* b b) (+ (* b b) (* c (* a -4)))) (/ 1/2 a)) (*.f64 c #s(literal 2 binary64))) #s(approx (- (neg b) (sqrt (+ (* b b) (* c (* a -4))))) (*.f64 b (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 c a) (*.f64 b b)) #s(literal -2 binary64)))))
90.8%
(/.f64 #s(approx (* (- (* b b) (+ (* b b) (* c (* a -4)))) (/ 1/2 a)) (*.f64 c #s(literal 2 binary64))) #s(approx (- (neg b) (sqrt (+ (* b b) (* c (* a -4))))) (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (*.f64 c a) b) b))))
80.3%
(/.f64 #s(approx (* (* 1/2 (- 0 (* a (* c -4)))) (/ 1 (- (neg b) (sqrt (+ (* a (* c -4)) (* b b)))))) (/.f64 (*.f64 c (neg.f64 a)) b)) a)
99.5%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))) #s(approx (* (- (* b b) (+ (* b b) (* c (* a -4)))) (/ 1/2 a)) (*.f64 c #s(literal 2 binary64)))))
99.4%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) #s(approx (* (- (* b b) (+ (* b b) (* c (* a -4)))) (/ 1/2 a)) (*.f64 c #s(literal 2 binary64))))
32.7%
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) b))
80.3%
(*.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (- (sqrt (+ (* b b) (* c (* a -4)))) b) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c a)) b)))
90.5%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c) (neg.f64 b)))
80.2%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal -1 binary64) c)))
80.3%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) b) (*.f64 b c)) (*.f64 b b)))
80.6%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b)))
80.4%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 c (neg.f64 b)))))
80.2%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) c) b)))
80.3%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 b c)))
80.2%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) c)) (/.f64 #s(literal 1 binary64) b)))
80.3%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) b) c))
90.1%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 c #s(approx (+ (* (neg a) (/ c (* b (* b b)))) (/ -1 b)) (/.f64 (fma.f64 a (/.f64 c (*.f64 b b)) #s(literal 1 binary64)) (neg.f64 b)))))
90.1%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 c #s(approx (+ (* (neg a) (/ c (* b (* b b)))) (/ -1 b)) (/.f64 (neg.f64 (fma.f64 c a (*.f64 b b))) (*.f64 b (*.f64 b b))))))
90.1%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (* c (+ (* (neg a) (/ c (* b (* b b)))) (/ -1 b))) (*.f64 (*.f64 c c) (+.f64 (neg.f64 (/.f64 a (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1 binary64) (*.f64 c b))))))
Compiler

Compiled 3 082 to 876 computations (71.6% saved)

regimes116.0ms (1%)

Memory
-19.3MiB live, 298.0MiB allocated
Counts
93 → 1
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) b) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 b c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 b (neg.f64 c))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) c) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) b) (*.f64 b c)) (*.f64 b b)))
(/.f64 #s(approx (* (* 1/2 (- 0 (* a (* c -4)))) (/ 1 (- (neg b) (sqrt (+ (* a (* c -4)) (* b b)))))) (/.f64 (*.f64 c (neg.f64 a)) b)) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (/.f64 (*.f64 b (neg.f64 b)) (+.f64 #s(literal 0 binary64) b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal -1 binary64) c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 c (neg.f64 b)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (- (sqrt (+ (* b b) (* c (* a -4)))) b) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c a)) b)))
(/.f64 #s(approx (+ (neg b) (sqrt (+ (* b b) (* a (* -4 c))))) (/.f64 (*.f64 a (*.f64 #s(literal -2 binary64) c)) b)) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 c (*.f64 (/.f64 #s(literal -2 binary64) b) a))) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b))) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 c a) (/.f64 #s(literal -2 binary64) b))) (*.f64 #s(literal 2 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) c)) (/.f64 #s(literal 1 binary64) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 c #s(approx (+ (* (neg a) (/ c (* b (* b b)))) (/ -1 b)) (/.f64 (neg.f64 (fma.f64 c a (*.f64 b b))) (*.f64 b (*.f64 b b))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 c #s(approx (+ (* (neg a) (/ c (* b (* b b)))) (/ -1 b)) (/.f64 (fma.f64 a (/.f64 c (*.f64 b b)) #s(literal 1 binary64)) (neg.f64 b)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(approx (- (* (* -2 (* a a)) (/ (* c (* c c)) (* (* b b) (* b b)))) (+ (* (* c c) (/ a (* b b))) c)) (*.f64 c (fma.f64 a (/.f64 c (*.f64 (neg.f64 b) b)) #s(literal -1 binary64)))) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c) (neg.f64 b)))
(/.f64 #s(approx (* (- (* b b) (+ (* b b) (* c (* a -4)))) (/ 1/2 a)) (*.f64 c #s(literal 2 binary64))) #s(approx (- (neg b) (sqrt (+ (* b b) (* c (* a -4))))) (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (*.f64 c a) b) b))))
(/.f64 #s(approx (* (- (* b b) (+ (* b b) (* c (* a -4)))) (/ 1/2 a)) (*.f64 c #s(literal 2 binary64))) (-.f64 (neg.f64 b) #s(approx (sqrt (+ (* b b) (* c (* a -4)))) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 c a) b) b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))) (/.f64 c b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 c (-.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (*.f64 a c) (*.f64 b (*.f64 b b))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 c (fma.f64 c #s(approx (+ (* (* a (/ a (pow b 5))) (* c -2)) (/ (neg a) (* b (* b b)))) (/.f64 (neg.f64 a) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1 binary64) b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 c (fma.f64 (neg.f64 a) (/.f64 c (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1 binary64) b))))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) b))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) b) (*.f64 a #s(literal 2 binary64)))
(/.f64 #s(approx (* (- (* b b) (+ (* b b) (* c (* a -4)))) (/ 1/2 a)) (*.f64 c #s(literal 2 binary64))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
(/.f64 #s(approx (* (- (* b b) (+ (* b b) (* c (* a -4)))) (/ 1/2 a)) (*.f64 c #s(literal 2 binary64))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (* (- (* b b) (+ (* b b) (* c (* a -4)))) (/ 1/2 a)) (*.f64 c #s(literal 2 binary64))) #s(approx (- (neg b) (sqrt (+ (* b b) (* c (* a -4))))) (*.f64 b (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 c a) (*.f64 b b)) #s(literal -2 binary64)))))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (* c (+ (* (neg a) (/ c (* b (* b b)))) (/ -1 b))) (*.f64 (*.f64 c c) (+.f64 (neg.f64 (/.f64 a (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1 binary64) (*.f64 c b))))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) #s(approx (* (- (* b b) (+ (* b b) (* c (* a -4)))) (/ 1/2 a)) (*.f64 c #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) b)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))) #s(approx (* (- (* b b) (+ (* b b) (* c (* a -4)))) (/ 1/2 a)) (*.f64 c #s(literal 2 binary64)))))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 c (fma.f64 a #s(literal -4 binary64) (/.f64 (*.f64 b b) c)))))) (*.f64 #s(literal 2 binary64) a))
(-.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (*.f64 a #s(literal 2 binary64))) (/.f64 b (*.f64 a #s(literal 2 binary64))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (neg.f64 b)))
(/.f64 (*.f64 c (*.f64 a #s(literal 4 binary64))) (*.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))))
(/.f64 (*.f64 (*.f64 c (*.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))))) a)
(/.f64 #s(approx (+ (neg b) (sqrt (+ (* b b) (* a (* -4 c))))) (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)))) b)) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 a #s(literal -2 binary64)) (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))) (/.f64 c b)))) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 c #s(literal -2 binary64)) (fma.f64 a (/.f64 (*.f64 a c) (*.f64 b (*.f64 b b))) (/.f64 a b)))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (+.f64 (neg.f64 b) (/.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))) a)
(/.f64 (-.f64 (*.f64 b b) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 c (fma.f64 c #s(approx (+ (* (* a (/ a (pow b 5))) (* c -2)) (/ (neg a) (* b (* b b)))) (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 c (*.f64 b b)) a) (neg.f64 (*.f64 b (*.f64 b b))))) (/.f64 #s(literal -1 binary64) b))))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))
(/.f64 (*.f64 (-.f64 (*.f64 b b) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (/.f64 #s(literal 1/2 binary64) a)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
(/.f64 #s(approx (* (- (* b b) (+ (* b b) (* c (* a -4)))) (/ 1/2 a)) (*.f64 c #s(literal 2 binary64))) (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 0 binary64) b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) (*.f64 (+.f64 #s(literal 0 binary64) b) #s(literal 1 binary64))))
(/.f64 #s(approx (* (- (* b b) (+ (* b b) (* c (* a -4)))) (/ 1/2 a)) (*.f64 c #s(literal 2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) (*.f64 (/.f64 #s(literal -1 binary64) b) #s(literal 1 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))) (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 (-.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 a #s(literal -2 binary64)))) (*.f64 (*.f64 b b) (*.f64 b b))) (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b))) c) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 a #s(literal -2 binary64)))) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b b)))) (/.f64 (fma.f64 c (/.f64 (*.f64 c a) (*.f64 b b)) c) b)))
(/.f64 #s(approx (* (- (* b b) (+ (* b b) (* c (* a -4)))) (/ 1/2 a)) (*.f64 c #s(literal 2 binary64))) (-.f64 (neg.f64 b) (sqrt.f64 (/.f64 (fma.f64 #s(literal 16 binary64) (*.f64 (*.f64 c a) (*.f64 c a)) (neg.f64 (*.f64 b (*.f64 b (*.f64 b b))))) (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 (neg.f64 b) b))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 b (-.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 a #s(literal -2 binary64)))) (*.f64 (*.f64 b b) (*.f64 b b))) (fma.f64 c (/.f64 (*.f64 c a) (*.f64 b b)) c)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 a #s(literal -2 binary64)))) (*.f64 (*.f64 b b) (*.f64 b b))) (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b))) b) (/.f64 c b)))
(/.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 16 binary64))) (+.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 #s(literal 1/2 binary64) a)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 a #s(literal -2 binary64)))) (*.f64 (*.f64 b b) (*.f64 b b))) b) (*.f64 b (fma.f64 c (/.f64 (*.f64 c a) (*.f64 b b)) c))) (*.f64 b b)))
(/.f64 (-.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (/.f64 #s(literal -1 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (*.f64 (*.f64 (fma.f64 b b (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 #s(literal 1/2 binary64) a)) (*.f64 (fma.f64 b b (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c))))) (*.f64 (*.f64 b b) (*.f64 b b))) (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 a c)))) b)) (*.f64 #s(literal 2 binary64) a))
(/.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 #s(literal -64 binary64) (*.f64 a (*.f64 a a))))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 16 binary64) (*.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c #s(literal -4 binary64))))))) (/.f64 #s(literal 1/2 binary64) a)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) b) (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))) (*.f64 b b))) (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))) b)) (*.f64 #s(literal 2 binary64) a))
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))) (*.f64 b (*.f64 b b)))) (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))) (*.f64 b b))) (*.f64 #s(literal 2 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(approx (- (* (* -2 (* a a)) (/ (* c (* c c)) (* (* b b) (* b b)))) (+ (* (* c c) (/ a (* b b))) c)) (*.f64 c (fma.f64 c (fma.f64 #s(literal -2 binary64) (*.f64 a (*.f64 a (/.f64 c (pow.f64 b #s(literal 4 binary64))))) (/.f64 a (*.f64 (neg.f64 b) b))) #s(literal -1 binary64)))) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (fma.f64 c (/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 a (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 20 binary64))))) (*.f64 b (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b)))))) (*.f64 a a) (/.f64 (fma.f64 c (/.f64 (*.f64 c a) (*.f64 b b)) c) (neg.f64 b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (fma.f64 c (/.f64 (*.f64 c a) (*.f64 b b)) c) (/.f64 #s(literal -1 binary64) b) (*.f64 a (*.f64 a (fma.f64 c (/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 a (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 20 binary64))))) (*.f64 b (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b))))))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 c (fma.f64 c (fma.f64 (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 c #s(literal -2 binary64)) (/.f64 (neg.f64 a) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1 binary64) b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 a (/.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 5 binary64))) (neg.f64 (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (/.f64 (*.f64 a (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 20 binary64)))) (*.f64 b (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b))))) (*.f64 #s(literal -1/4 binary64) (*.f64 a a)) (fma.f64 a (*.f64 a (/.f64 (*.f64 (*.f64 c c) (*.f64 c #s(literal -2 binary64))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (/.f64 (fma.f64 c (/.f64 (*.f64 c a) (*.f64 b b)) c) (neg.f64 b)))))
(/.f64 (fma.f64 (sqrt.f64 (*.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 4 binary64)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 4 binary64))))) #s(literal 1/2 binary64)) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 a (fma.f64 a (fma.f64 (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) (*.f64 a #s(literal -4 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b)))) (*.f64 #s(literal -2 binary64) (/.f64 c b))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 c (fma.f64 c (fma.f64 (/.f64 (*.f64 a (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))) (*.f64 c #s(literal -4 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -2 binary64)) b)))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -64 binary64)) (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 c (*.f64 a #s(literal 4 binary64))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 4 binary64))))))) #s(literal 1/2 binary64)) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a))
(/.f64 (fma.f64 (pow.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal 1/4 binary64)) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (neg (/ (+ (* (* c c) (/ a (* b b))) c) b)) (* (* a a) (+ (* (* (/ (* (pow c 4) 20) (pow b 6)) (/ a b)) -1/4) (/ (* (* c (* c c)) -2) (pow b 5))))) (/.f64 (fma.f64 b (*.f64 b (fma.f64 #s(literal -2 binary64) (*.f64 c (*.f64 c (*.f64 c (*.f64 a a)))) (*.f64 (*.f64 b b) (neg.f64 (fma.f64 c (*.f64 c a) (*.f64 b (*.f64 b c))))))) (*.f64 (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -5 binary64)))) (pow.f64 b #s(literal 7 binary64)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (neg (/ (+ (* (* c c) (/ a (* b b))) c) b)) (* (* a a) (+ (* (* (/ (* (pow c 4) 20) (pow b 6)) (/ a b)) -1/4) (/ (* (* c (* c c)) -2) (pow b 5))))) (*.f64 c (fma.f64 c (-.f64 (*.f64 c (fma.f64 (*.f64 #s(literal -5 binary64) (*.f64 a (*.f64 a a))) (/.f64 c (pow.f64 b #s(literal 7 binary64))) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))))) (/.f64 a (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1 binary64) b)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 c (fma.f64 c (fma.f64 c (fma.f64 #s(literal -2 binary64) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) c) (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64)))) (*.f64 a b))) (/.f64 (neg.f64 a) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1 binary64) b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (neg (/ (+ (* (* c c) (/ a (* b b))) c) b)) (* (* a a) (+ (* (* (/ (* (pow c 4) 20) (pow b 6)) (/ a b)) -1/4) (/ (* (* c (* c c)) -2) (pow b 5))))) (*.f64 (pow.f64 c #s(literal 4 binary64)) (-.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 a a) (*.f64 (pow.f64 b #s(literal 5 binary64)) c)) (/.f64 (*.f64 #s(literal -5 binary64) (*.f64 a (*.f64 a a))) (pow.f64 b #s(literal 7 binary64)))) (/.f64 (+.f64 (/.f64 a (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) (*.f64 b c))) (*.f64 c c))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) b)) (*.f64 (*.f64 a a) (fma.f64 (*.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 a b)) #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (neg (/ (+ (* (* c c) (/ a (* b b))) c) b)) (* (* a a) (+ (* (* (/ (* (pow c 4) 20) (pow b 6)) (/ a b)) -1/4) (/ (* (* c (* c c)) -2) (pow b 5))))) (*.f64 (*.f64 a (*.f64 a a)) (-.f64 (fma.f64 #s(literal -5 binary64) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 7 binary64))) (-.f64 (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) c) (*.f64 (pow.f64 b #s(literal 5 binary64)) a)) (/.f64 c (*.f64 b (*.f64 a (*.f64 a a)))))) (/.f64 (*.f64 c c) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 a a)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (neg (/ (+ (* (* c c) (/ a (* b b))) c) b)) (* (* a a) (+ (* (* (/ (* (pow c 4) 20) (pow b 6)) (/ a b)) -1/4) (/ (* (* c (* c c)) -2) (pow b 5))))) (neg.f64 (*.f64 (*.f64 a (*.f64 a a)) (-.f64 (/.f64 (*.f64 #s(literal 5 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 7 binary64))) (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) c) (pow.f64 b #s(literal 5 binary64))) (/.f64 (+.f64 (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))) (/.f64 c (*.f64 b a))) a)) a))))))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 c (fma.f64 c (fma.f64 c (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 c b)) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 a (*.f64 a a))) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -2 binary64)) b)))) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c))))) (*.f64 (*.f64 b b) (*.f64 b b))) (fma.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 a c)) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (/.f64 #s(literal 20 binary64) (pow.f64 b #s(literal 6 binary64))))))) b)) (*.f64 #s(literal 2 binary64) a))
Outputs
(/.f64 #s(approx (* (- (* b b) (+ (* b b) (* c (* a -4)))) (/ 1/2 a)) (*.f64 c #s(literal 2 binary64))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
Calls

4 calls:

29.0ms
b
28.0ms
a
27.0ms
c
25.0ms
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))
Results
AccuracySegmentsBranch
99.8%1a
99.8%1b
99.8%1c
99.8%1(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))
Compiler

Compiled 32 to 23 computations (28.1% saved)

regimes43.0ms (0.4%)

Memory
-6.3MiB live, 114.2MiB allocated
Counts
32 → 1
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) b) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 b c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 b (neg.f64 c))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) c) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) b) (*.f64 b c)) (*.f64 b b)))
(/.f64 #s(approx (* (* 1/2 (- 0 (* a (* c -4)))) (/ 1 (- (neg b) (sqrt (+ (* a (* c -4)) (* b b)))))) (/.f64 (*.f64 c (neg.f64 a)) b)) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (/.f64 (*.f64 b (neg.f64 b)) (+.f64 #s(literal 0 binary64) b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal -1 binary64) c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 c (neg.f64 b)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (- (sqrt (+ (* b b) (* c (* a -4)))) b) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c a)) b)))
(/.f64 #s(approx (+ (neg b) (sqrt (+ (* b b) (* a (* -4 c))))) (/.f64 (*.f64 a (*.f64 #s(literal -2 binary64) c)) b)) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 c (*.f64 (/.f64 #s(literal -2 binary64) b) a))) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b))) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 c a) (/.f64 #s(literal -2 binary64) b))) (*.f64 #s(literal 2 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) c)) (/.f64 #s(literal 1 binary64) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 c #s(approx (+ (* (neg a) (/ c (* b (* b b)))) (/ -1 b)) (/.f64 (neg.f64 (fma.f64 c a (*.f64 b b))) (*.f64 b (*.f64 b b))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 c #s(approx (+ (* (neg a) (/ c (* b (* b b)))) (/ -1 b)) (/.f64 (fma.f64 a (/.f64 c (*.f64 b b)) #s(literal 1 binary64)) (neg.f64 b)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(approx (- (* (* -2 (* a a)) (/ (* c (* c c)) (* (* b b) (* b b)))) (+ (* (* c c) (/ a (* b b))) c)) (*.f64 c (fma.f64 a (/.f64 c (*.f64 (neg.f64 b) b)) #s(literal -1 binary64)))) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c) (neg.f64 b)))
(/.f64 #s(approx (* (- (* b b) (+ (* b b) (* c (* a -4)))) (/ 1/2 a)) (*.f64 c #s(literal 2 binary64))) #s(approx (- (neg b) (sqrt (+ (* b b) (* c (* a -4))))) (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (*.f64 c a) b) b))))
(/.f64 #s(approx (* (- (* b b) (+ (* b b) (* c (* a -4)))) (/ 1/2 a)) (*.f64 c #s(literal 2 binary64))) (-.f64 (neg.f64 b) #s(approx (sqrt (+ (* b b) (* c (* a -4)))) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 c a) b) b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))) (/.f64 c b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 c (-.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (*.f64 a c) (*.f64 b (*.f64 b b))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 c (fma.f64 c #s(approx (+ (* (* a (/ a (pow b 5))) (* c -2)) (/ (neg a) (* b (* b b)))) (/.f64 (neg.f64 a) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1 binary64) b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 c (fma.f64 (neg.f64 a) (/.f64 c (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1 binary64) b))))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) b))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) b) (*.f64 a #s(literal 2 binary64)))
Outputs
(/.f64 #s(approx (* (- (* b b) (+ (* b b) (* c (* a -4)))) (/ 1/2 a)) (*.f64 c #s(literal 2 binary64))) #s(approx (- (neg b) (sqrt (+ (* b b) (* c (* a -4))))) (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (*.f64 c a) b) b))))
Calls

4 calls:

11.0ms
b
11.0ms
a
10.0ms
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))
9.0ms
c
Results
AccuracySegmentsBranch
90.8%1a
90.8%1b
90.8%1c
90.8%1(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))
Compiler

Compiled 32 to 23 computations (28.1% saved)

regimes30.0ms (0.3%)

Memory
12.8MiB live, 91.5MiB allocated
Counts
22 → 1
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) b) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 b c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 b (neg.f64 c))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) c) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) b) (*.f64 b c)) (*.f64 b b)))
(/.f64 #s(approx (* (* 1/2 (- 0 (* a (* c -4)))) (/ 1 (- (neg b) (sqrt (+ (* a (* c -4)) (* b b)))))) (/.f64 (*.f64 c (neg.f64 a)) b)) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (/.f64 (*.f64 b (neg.f64 b)) (+.f64 #s(literal 0 binary64) b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal -1 binary64) c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 c (neg.f64 b)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (- (sqrt (+ (* b b) (* c (* a -4)))) b) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c a)) b)))
(/.f64 #s(approx (+ (neg b) (sqrt (+ (* b b) (* a (* -4 c))))) (/.f64 (*.f64 a (*.f64 #s(literal -2 binary64) c)) b)) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 c (*.f64 (/.f64 #s(literal -2 binary64) b) a))) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b))) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 c a) (/.f64 #s(literal -2 binary64) b))) (*.f64 #s(literal 2 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) c)) (/.f64 #s(literal 1 binary64) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 c #s(approx (+ (* (neg a) (/ c (* b (* b b)))) (/ -1 b)) (/.f64 (neg.f64 (fma.f64 c a (*.f64 b b))) (*.f64 b (*.f64 b b))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 c #s(approx (+ (* (neg a) (/ c (* b (* b b)))) (/ -1 b)) (/.f64 (fma.f64 a (/.f64 c (*.f64 b b)) #s(literal 1 binary64)) (neg.f64 b)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(approx (- (* (* -2 (* a a)) (/ (* c (* c c)) (* (* b b) (* b b)))) (+ (* (* c c) (/ a (* b b))) c)) (*.f64 c (fma.f64 a (/.f64 c (*.f64 (neg.f64 b) b)) #s(literal -1 binary64)))) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c) (neg.f64 b)))
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) b)))
Calls

4 calls:

8.0ms
c
7.0ms
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))
7.0ms
b
7.0ms
a
Results
AccuracySegmentsBranch
90.5%1(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))
90.5%1a
90.5%1c
90.5%1b
Compiler

Compiled 32 to 23 computations (28.1% saved)

regimes25.0ms (0.2%)

Memory
14.0MiB live, 95.2MiB allocated
Counts
18 → 1
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) b) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 b c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 b (neg.f64 c))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) c) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) b) (*.f64 b c)) (*.f64 b b)))
(/.f64 #s(approx (* (* 1/2 (- 0 (* a (* c -4)))) (/ 1 (- (neg b) (sqrt (+ (* a (* c -4)) (* b b)))))) (/.f64 (*.f64 c (neg.f64 a)) b)) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (/.f64 (*.f64 b (neg.f64 b)) (+.f64 #s(literal 0 binary64) b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal -1 binary64) c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 c (neg.f64 b)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (- (sqrt (+ (* b b) (* c (* a -4)))) b) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c a)) b)))
(/.f64 #s(approx (+ (neg b) (sqrt (+ (* b b) (* a (* -4 c))))) (/.f64 (*.f64 a (*.f64 #s(literal -2 binary64) c)) b)) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 c (*.f64 (/.f64 #s(literal -2 binary64) b) a))) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b))) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 c a) (/.f64 #s(literal -2 binary64) b))) (*.f64 #s(literal 2 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) c)) (/.f64 #s(literal 1 binary64) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 c #s(approx (+ (* (neg a) (/ c (* b (* b b)))) (/ -1 b)) (/.f64 (neg.f64 (fma.f64 c a (*.f64 b b))) (*.f64 b (*.f64 b b))))))
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 c #s(approx (+ (* (neg a) (/ c (* b (* b b)))) (/ -1 b)) (/.f64 (neg.f64 (fma.f64 c a (*.f64 b b))) (*.f64 b (*.f64 b b))))))
Calls

4 calls:

7.0ms
b
6.0ms
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))
6.0ms
c
6.0ms
a
Results
AccuracySegmentsBranch
90.1%1a
90.1%1(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))
90.1%1c
90.1%1b
Compiler

Compiled 32 to 23 computations (28.1% saved)

regimes23.0ms (0.2%)

Memory
-3.3MiB live, 76.3MiB allocated
Accuracy

Total -0.5b remaining (-4%)

Threshold costs -0.5b (-4%)

Counts
17 → 1
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) b) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 b c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 b (neg.f64 c))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) c) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) b) (*.f64 b c)) (*.f64 b b)))
(/.f64 #s(approx (* (* 1/2 (- 0 (* a (* c -4)))) (/ 1 (- (neg b) (sqrt (+ (* a (* c -4)) (* b b)))))) (/.f64 (*.f64 c (neg.f64 a)) b)) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (/.f64 (*.f64 b (neg.f64 b)) (+.f64 #s(literal 0 binary64) b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal -1 binary64) c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 c (neg.f64 b)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (- (sqrt (+ (* b b) (* c (* a -4)))) b) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c a)) b)))
(/.f64 #s(approx (+ (neg b) (sqrt (+ (* b b) (* a (* -4 c))))) (/.f64 (*.f64 a (*.f64 #s(literal -2 binary64) c)) b)) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 c (*.f64 (/.f64 #s(literal -2 binary64) b) a))) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b))) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 c a) (/.f64 #s(literal -2 binary64) b))) (*.f64 #s(literal 2 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) c)) (/.f64 #s(literal 1 binary64) b)))
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b)))
Calls

4 calls:

6.0ms
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))
5.0ms
a
5.0ms
b
5.0ms
c
Results
AccuracySegmentsBranch
80.6%1b
80.6%1a
80.6%1c
80.6%1(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))
Compiler

Compiled 32 to 23 computations (28.1% saved)

simplify11.0ms (0.1%)

Memory
-3.3MiB live, 38.0MiB allocated
Algorithm
egg-herbie
Rules
40×*-commutative_binary64
32×+-commutative_binary64
30×sub-neg_binary64
26×neg-sub0_binary64
26×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
062180
186180
2108180
3135180
4153180
5162180
6166180
7167180
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 #s(approx (* (- (* b b) (+ (* b b) (* c (* a -4)))) (/ 1/2 a)) (*.f64 c #s(literal 2 binary64))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
(/.f64 #s(approx (* (- (* b b) (+ (* b b) (* c (* a -4)))) (/ 1/2 a)) (*.f64 c #s(literal 2 binary64))) #s(approx (- (neg b) (sqrt (+ (* b b) (* c (* a -4))))) (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (*.f64 c a) b) b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 c #s(approx (+ (* (neg a) (/ c (* b (* b b)))) (/ -1 b)) (/.f64 (neg.f64 (fma.f64 c a (*.f64 b b))) (*.f64 b (*.f64 b b))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b)))
Outputs
(/.f64 #s(approx (* (- (* b b) (+ (* b b) (* c (* a -4)))) (/ 1/2 a)) (*.f64 c #s(literal 2 binary64))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
(/.f64 (neg.f64 #s(approx (* (- (* b b) (+ (* b b) (* c (* a -4)))) (/ 1/2 a)) (*.f64 c #s(literal 2 binary64)))) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
(/.f64 #s(approx (* (- (* b b) (+ (* b b) (* c (* a -4)))) (/ 1/2 a)) (*.f64 c #s(literal 2 binary64))) #s(approx (- (neg b) (sqrt (+ (* b b) (* c (* a -4))))) (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (*.f64 c a) b) b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) (neg.f64 b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 c #s(approx (+ (* (neg a) (/ c (* b (* b b)))) (/ -1 b)) (/.f64 (neg.f64 (fma.f64 c a (*.f64 b b))) (*.f64 b (*.f64 b b))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 c #s(approx (+ (* (neg a) (/ c (* b (* b b)))) (/ -1 b)) (neg.f64 (/.f64 (fma.f64 c a (*.f64 b b)) (*.f64 b (*.f64 b b)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 c b)))

soundness748.0ms (6.3%)

Memory
-12.1MiB live, 988.9MiB allocated
Rules
11 458×lower-fma.f64
11 458×lower-fma.f32
8 470×lower-fma.f64
8 470×lower-fma.f32
7 766×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0132413149
1446212662
0821112234
05453273
117383232
260833204
082433047
0106512616
1352212308
0808211879
070497
0119462
1456429
23833421
08349416
01451
02351
17649
253648
3686448
0815844
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
Compiler

Compiled 280 to 163 computations (41.8% saved)

preprocess47.0ms (0.4%)

Memory
-4.5MiB live, 153.8MiB allocated
Compiler

Compiled 182 to 90 computations (50.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...