Quadratic roots, full range

Time bar (total: 10.1s)

analyze155.0ms (1.5%)

Memory
-23.1MiB live, 211.5MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
25%25%74.9%0.1%0%0%0%4
37.5%37.4%62.4%0.1%0%0%0%5
37.5%37.4%62.4%0.1%0%0%0%6
40%37.4%56.2%0.1%0%6.2%0%7
48.3%45.2%48.4%0.1%0%6.2%0%8
53%48.4%42.9%0.1%0%8.6%0%9
58.1%50.3%36.3%0.1%0%13.3%0%10
66.1%56.8%29.1%0.1%0%14%0%11
70.4%58.8%24.7%0.1%0%16.4%0%12
Compiler

Compiled 19 to 16 computations (15.8% saved)

sample1.6s (15.6%)

Memory
43.2MiB live, 3 162.5MiB allocated
Samples
507.0ms5 497×0valid
296.0ms1 202×2valid
238.0ms1 384×1valid
80.0ms908×0invalid
42.0ms173×3valid
Precisions
Click to see histograms. Total time spent on operations: 827.0ms
ival-mult: 313.0ms (37.9% of total)
ival-sqrt: 121.0ms (14.6% of total)
ival-div: 104.0ms (12.6% of total)
adjust: 75.0ms (9.1% of total)
ival-add: 75.0ms (9.1% of total)
ival-sub: 71.0ms (8.6% of total)
ival-neg: 49.0ms (5.9% of total)
exact: 9.0ms (1.1% of total)
ival-true: 7.0ms (0.8% of total)
ival-assert: 3.0ms (0.4% of total)
Bogosity

preprocess156.0ms (1.5%)

Memory
-16.8MiB live, 156.2MiB allocated
Algorithm
1×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
1×iter limit
1×saturated
1×iter limit
1×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)))

explain200.0ms (2%)

Memory
9.9MiB live, 324.2MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1000-2(4.951707633097934e-22 1.2266821174642791e-216 -4.995033476264878e-293)(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))
590-0-(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))
160-1(8.04898025608949e-112 2.9471580593007676e-31 2.8526131747062174e-235)(/.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))
30-0-(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))
00-0-a
00-0-#s(literal 4 binary64)
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 #s(literal 4 binary64) a)
00-0-b
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
sqrt.f64(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))oflow-rescue930
↳(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))overflow93
↳(*.f64 (*.f64 #s(literal 4 binary64) a) c)overflow35
↳(*.f64 b b)overflow73
+.f64(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))cancellation590
/.f64(/.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))u/n150
↳(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))underflow5
↳(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))underflow26
↳(*.f64 (*.f64 #s(literal 4 binary64) a) c)underflow26
↳(*.f64 b b)underflow47
sqrt.f64(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))uflow-rescue50
↳(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))underflow5
↳(*.f64 (*.f64 #s(literal 4 binary64) a) c)underflow26
↳(*.f64 b b)underflow47
-.f64(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))nan-rescue30
↳(*.f64 b b)overflow73
↳(*.f64 (*.f64 #s(literal 4 binary64) a) c)overflow35
Confusion
Predicted +Predicted -
+1292
-12113
Precision
0.9148936170212766
Recall
0.9847328244274809
Confusion?
Predicted +Predicted MaybePredicted -
+12902
-120113
Precision?
0.9148936170212766
Recall?
0.9847328244274809
Freqs
test
numberfreq
0115
1109
230
32
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
35.0ms342×0valid
17.0ms70×2valid
14.0ms90×1valid
3.0ms10×3valid
Compiler

Compiled 184 to 60 computations (67.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 41.0ms
ival-mult: 13.0ms (31.4% of total)
ival-sqrt: 6.0ms (14.5% of total)
ival-add: 6.0ms (14.5% of total)
adjust: 5.0ms (12.1% of total)
ival-div: 5.0ms (12.1% of total)
ival-sub: 4.0ms (9.6% of total)
ival-neg: 2.0ms (4.8% of total)
exact: 1.0ms (2.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.5MiB live, 0.4MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory
2.1MiB live, 2.1MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶51.0%
(/.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))
Compiler

Compiled 20 to 14 computations (30% saved)

simplify93.0ms (0.9%)

Memory
10.1MiB live, 85.8MiB allocated
Algorithm
1×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
1×iter limit
1×saturated
1×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)

localize51.0ms (0.5%)

Memory
7.9MiB live, 88.8MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy99.1%
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))
✓accuracy94.5%
(/.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))
✓accuracy78.4%
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))
✓accuracy64.1%
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))
Samples
16.0ms171×0valid
10.0ms35×2valid
10.0ms45×1valid
1.0ms5×3valid
Compiler

Compiled 72 to 16 computations (77.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-mult: 6.0ms (28.3% of total)
ival-neg: 4.0ms (18.9% of total)
ival-sqrt: 3.0ms (14.1% of total)
ival-sub: 2.0ms (9.4% of total)
adjust: 2.0ms (9.4% of total)
ival-div: 2.0ms (9.4% of total)
ival-add: 2.0ms (9.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series25.0ms (0.2%)

Memory
10.5MiB live, 48.7MiB allocated
Counts
5 → 156
Calls
Call 1
Inputs
#<alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))>
#<alt (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))>
#<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))>
#<alt (neg.f64 b)>
#<alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))>
Outputs
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))>
#<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)))>
#<alt (* -2 (/ (* a c) b))>
#<alt (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)>
#<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)>
#<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)>
#<alt (* -2 b)>
#<alt (* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))>
#<alt (* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))>
#<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))))))))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))>
#<alt (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))>
#<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))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a)))>
#<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)))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))>
#<alt (* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<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))))))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))>
#<alt (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))>
#<alt (* 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))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))>
#<alt (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c)))>
#<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)))) (/ b c)))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))>
#<alt (* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -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))))))>
#<alt (* -4 (* a c))>
#<alt (- (pow b 2) (* 4 (* a c)))>
#<alt (- (pow b 2) (* 4 (* a c)))>
#<alt (- (pow b 2) (* 4 (* a c)))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (pow b 2)>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (* -4 (* a c))>
#<alt (* a (- (/ (pow b 2) a) (* 4 c)))>
#<alt (* a (- (/ (pow b 2) a) (* 4 c)))>
#<alt (* a (- (/ (pow b 2) a) (* 4 c)))>
#<alt (* -4 (* a c))>
#<alt (* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))>
#<alt (* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))>
#<alt (* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))>
#<alt (pow b 2)>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (* -4 (* a c))>
#<alt (* c (- (/ (pow b 2) c) (* 4 a)))>
#<alt (* c (- (/ (pow b 2) c) (* 4 a)))>
#<alt (* c (- (/ (pow b 2) c) (* 4 a)))>
#<alt (* -4 (* a c))>
#<alt (* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))>
#<alt (* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))>
#<alt (* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))>
#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))>
#<alt (+ (* 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)))))>
#<alt (* -1 (/ c b))>
#<alt (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)>
#<alt (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)>
#<alt (/ (+ (* -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)>
#<alt (* -1 (/ b a))>
#<alt (* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))>
#<alt (* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))>
#<alt (* -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))))))>
#<alt (* -1 (/ c b))>
#<alt (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))>
#<alt (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))>
#<alt (+ (* -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)))))))>
#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))>
#<alt (+ (* -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))))))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))>
#<alt (+ (* -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)))>
#<alt (* -1 (/ c b))>
#<alt (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))>
#<alt (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))>
#<alt (* 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)))>
#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))>
#<alt (* 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))))))>
#<alt (* 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)))))))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* -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)))))>
#<alt (* -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)))))>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ (* (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)))))))>
#<alt (+ (* (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)))))))))>
#<alt b>
#<alt (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))>
#<alt (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))>
#<alt (* 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)))))))>
#<alt (* -1 b)>
#<alt (* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))>
#<alt (* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))>
#<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))))))))>
#<alt b>
#<alt (+ b (* -2 (/ (* a c) b)))>
#<alt (+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))>
#<alt (+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))>
#<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)))))>
#<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))))))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<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)))))))>
#<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))))))))>
#<alt b>
#<alt (+ b (* -2 (/ (* a c) b)))>
#<alt (+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))>
#<alt (+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))>
#<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)))))>
#<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))))))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<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)))))))>
#<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))))))))>
Calls

39 calls:

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

rewrite313.0ms (3.1%)

Memory
-50.8MiB live, 415.7MiB allocated
Algorithm
1×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
1×iter limit
1×node limit
1×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)
(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))))))) (/.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))))) b)
(fma.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)) b)
(fma.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))))) b)
(fma.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))))) b)
(fma.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)) b)
(fma.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)))) b)
(fma.f64 (pow.f64 b #s(literal 1/2 binary64)) (pow.f64 b #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))
(fma.f64 (pow.f64 b #s(literal 1/2 binary64)) (pow.f64 b #s(literal 1/2 binary64)) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))))
(fma.f64 (/.f64 (*.f64 b b) (fma.f64 b b (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c))))) (+.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 (*.f64 b b) (fma.f64 b (*.f64 b b) (*.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c))) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (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)))))))
(neg.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))
(/.f64 (fma.f64 b (*.f64 b 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))))) (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))
(/.f64 (fma.f64 b (*.f64 b 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))))) (neg.f64 (neg.f64 (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) #s(literal 1 binary64)))
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(*.f64 (/.f64 (fma.f64 b (*.f64 b 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 a #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))
(*.f64 (/.f64 (fma.f64 b b (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))) (*.f64 a #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))))
(*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) a) #s(literal 1/2 binary64))
(*.f64 (pow.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) (fma.f64 b (*.f64 b 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)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))
(*.f64 (pow.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) (fma.f64 b b (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c))))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))))
(*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (neg.f64 a)))
(*.f64 (/.f64 (fma.f64 b (*.f64 b 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))))) a) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) #s(literal 2 binary64)))
(*.f64 (/.f64 (fma.f64 b (*.f64 b 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))))) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) a))
(*.f64 (/.f64 (fma.f64 b b (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))) a) (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) #s(literal 2 binary64)))
(*.f64 (/.f64 (fma.f64 b b (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) a))
(*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (*.f64 a #s(literal 2 binary64))) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))
(*.f64 (pow.f64 (/.f64 a (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 a (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) #s(literal 1/2 binary64))) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (/.f64 #s(literal -1/2 binary64) a))
(*.f64 (/.f64 (/.f64 (fma.f64 b (*.f64 b 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 a #s(literal 2 binary64))) (fma.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 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)) (fma.f64 b b (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))))) (fma.f64 b (*.f64 b (*.f64 b b)) (fma.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) (fma.f64 b b (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (*.f64 (*.f64 b b) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))))))))
(*.f64 (/.f64 (/.f64 (fma.f64 b (*.f64 b 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 a #s(literal 2 binary64))) (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) (fma.f64 b b (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) (neg.f64 (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))
(*.f64 (/.f64 (/.f64 (fma.f64 b b (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))) (*.f64 a #s(literal 2 binary64))) (fma.f64 b b (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c))))) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))
(*.f64 (/.f64 (/.f64 (fma.f64 b b (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))) (*.f64 a #s(literal 2 binary64))) (fma.f64 b (*.f64 b b) (*.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c))) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))
b
(+.f64 b #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) b)
(exp.f64 (*.f64 (log.f64 b) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) b)
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 b b)) b)
(-.f64 (/.f64 #s(literal 0 binary64) b) b)
(fma.f64 b #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 b #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) b) #s(literal 0 binary64))
(fma.f64 (*.f64 b (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 b b)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) b #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) b #s(literal 0 binary64))
(fma.f64 (pow.f64 b #s(literal 1/2 binary64)) (pow.f64 b #s(literal 1/2 binary64)) #s(literal 0 binary64))
(neg.f64 b)
(/.f64 (*.f64 b b) b)
(/.f64 (*.f64 b (*.f64 b b)) (*.f64 b b))
(/.f64 (*.f64 b (*.f64 b b)) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 b b) #s(literal 0 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))
(/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 b b)))
(pow.f64 b #s(literal 1 binary64))
(*.f64 b #s(literal 1 binary64))
(*.f64 b #s(literal -1 binary64))
(*.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) b))
(*.f64 (*.f64 b (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 b b)))
(*.f64 #s(literal 1 binary64) b)
(*.f64 #s(literal -1 binary64) b)
(*.f64 (pow.f64 b #s(literal 1/2 binary64)) (pow.f64 b #s(literal 1/2 binary64)))
(+.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))
(fabs.f64 (sqrt.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)))
(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)) #s(literal 0 binary64))
(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))))) #s(literal 0 binary64))
(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))))))) (/.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))))) #s(literal 0 binary64))
(fma.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)) #s(literal 0 binary64))
(fma.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))))) #s(literal 0 binary64))
(fma.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))))) #s(literal 0 binary64))
(fma.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)) #s(literal 0 binary64))
(fma.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)))) #s(literal 0 binary64))
(/.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 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (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)))) (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) (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))) (sqrt.f64 (fma.f64 #s(literal -16 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b)))))))
(/.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 (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))))) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))))
(/.f64 (sqrt.f64 (fma.f64 b (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b b)) (*.f64 #s(literal 64 binary64) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c))))))) (sqrt.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))))))
(/.f64 (neg.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)))))))) (neg.f64 (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 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b)))))) (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c))))))
(/.f64 (fma.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))) #s(literal 0 binary64)) (+.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) (-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) #s(literal 0 binary64)))))
(/.f64 (-.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) #s(literal 0 binary64)) (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) #s(literal 0 binary64)))
(pow.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) #s(literal 1 binary64))
(pow.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 #s(literal 16 binary64) (*.f64 a c)) (*.f64 a c))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) #s(literal 1/4 binary64)) #s(literal 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))))))) (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)))))

simplify543.0ms (5.4%)

Memory
29.1MiB live, 502.5MiB allocated
Algorithm
1×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
1×iter limit
1×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)))
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(*.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))))))))

eval121.0ms (1.2%)

Memory
8.5MiB live, 119.1MiB allocated
Compiler

Compiled 22 331 to 2 082 computations (90.7% saved)

prune207.0ms (2.1%)

Memory
-13.4MiB live, 179.3MiB allocated
Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New57815593
Fresh000
Picked101
Done000
Total57915594
Accuracy
89.9%
Counts
594 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
30.0%
(fma.f64 b (/.f64 c (*.f64 b b)) (/.f64 b (neg.f64 a)))
34.7%
(/.f64 (fma.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)))) b) (*.f64 #s(literal 2 binary64) a))
▶25.0%
(/.f64 (fma.f64 b b (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))) (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal -2 binary64))))
28.0%
(/.f64 (/.f64 (fma.f64 b b (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))) (*.f64 a #s(literal 2 binary64))) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))
33.7%
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 2 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))))
49.9%
(/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) (*.f64 #s(literal 2 binary64) a))
35.0%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))
46.4%
(/.f64 (+.f64 (neg.f64 b) (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) (*.f64 #s(literal 2 binary64) a))
▶28.3%
(/.f64 (*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b)) (*.f64 #s(literal 2 binary64) a))
35.2%
(/.f64 c (neg.f64 b))
▶30.5%
(/.f64 b (neg.f64 a))
33.8%
(/.f64 #s(literal 1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))))
▶50.9%
(-.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))))
24.8%
(*.f64 (fma.f64 b b (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))))
▶51.0%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))
Compiler

Compiled 600 to 380 computations (36.7% saved)

simplify292.0ms (2.9%)

Memory
-13.9MiB live, 278.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 a (*.f64 #s(literal 4 binary64) c))
✓cost-diff0
(fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))
✓cost-diff0
(/.f64 (fma.f64 b b (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))) (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal -2 binary64))))
✓cost-diff192
(fma.f64 b b (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c))))
✓cost-diff0
(fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))
✓cost-diff0
(sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))
✓cost-diff0
(/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (*.f64 a #s(literal 2 binary64)))
✓cost-diff128
(-.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))))
✓cost-diff0
(*.f64 a #s(literal -2 binary64))
✓cost-diff0
(/.f64 (*.f64 a #s(literal -2 binary64)) b)
✓cost-diff0
(*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b))
✓cost-diff1536
(/.f64 (*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b)) (*.f64 #s(literal 2 binary64) a))
✓cost-diff0
(neg.f64 a)
✓cost-diff0
(/.f64 b (neg.f64 a))
✓cost-diff0
(sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))
✓cost-diff0
(-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))
✓cost-diff0
(/.f64 #s(literal -1/2 binary64) a)
✓cost-diff0
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))
Rules
5 632×lower-fma.f32
5 626×lower-fma.f64
3 732×lower-*.f32
3 712×lower-*.f64
2 282×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033279
059279
1110279
2234277
3492273
41198272
53732272
08166269
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.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 #s(literal -1/2 binary64) a)
#s(literal -1/2 binary64)
a
(-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))
b
(sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))
(fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))
(*.f64 #s(literal -4 binary64) c)
#s(literal -4 binary64)
c
(*.f64 b b)
(/.f64 b (neg.f64 a))
b
(neg.f64 a)
a
(/.f64 (*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b)) (*.f64 #s(literal 2 binary64) a))
(*.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)
(-.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))))
(/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (*.f64 a #s(literal 2 binary64)))
(sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))
(fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))
a
(*.f64 #s(literal -4 binary64) c)
#s(literal -4 binary64)
c
(*.f64 b b)
b
(*.f64 a #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 b (*.f64 a #s(literal 2 binary64)))
(/.f64 (fma.f64 b b (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))) (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal -2 binary64))))
(fma.f64 b b (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c))))
b
(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 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal -2 binary64)))
(+.f64 b (sqrt.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)))
(fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))
(*.f64 #s(literal -4 binary64) c)
#s(literal -4 binary64)
(*.f64 b b)
(*.f64 a #s(literal -2 binary64))
#s(literal -2 binary64)
Outputs
(*.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 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (/.f64 #s(literal 1/2 binary64) a))
(/.f64 #s(literal -1/2 binary64) a)
#s(literal -1/2 binary64)
a
(-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))
b
(sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))
(fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))
(*.f64 #s(literal -4 binary64) c)
#s(literal -4 binary64)
c
(*.f64 b b)
(/.f64 b (neg.f64 a))
b
(neg.f64 a)
a
(/.f64 (*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b)) (*.f64 #s(literal 2 binary64) a))
(/.f64 (neg.f64 c) b)
(*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b))
(*.f64 a (/.f64 (*.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)
(-.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 #s(literal -1/2 binary64) (/.f64 b a) (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (*.f64 a #s(literal 2 binary64))))
(/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (*.f64 a #s(literal 2 binary64)))
(sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))
(fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))
a
(*.f64 #s(literal -4 binary64) c)
#s(literal -4 binary64)
c
(*.f64 b b)
b
(*.f64 a #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 b (*.f64 a #s(literal 2 binary64)))
(/.f64 (fma.f64 b b (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))) (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal -2 binary64))))
(/.f64 (fma.f64 a (*.f64 c #s(literal 4 binary64)) (*.f64 b (+.f64 b b))) (*.f64 #s(literal -2 binary64) (*.f64 a (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))))
(fma.f64 b b (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c))))
(fma.f64 a (*.f64 c #s(literal 4 binary64)) (*.f64 b (+.f64 b 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 #s(literal 4 binary64) (*.f64 a c))
a
(*.f64 #s(literal 4 binary64) c)
(*.f64 c #s(literal 4 binary64))
#s(literal 4 binary64)
c
(*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal -2 binary64)))
(*.f64 #s(literal -2 binary64) (*.f64 a (+.f64 b (sqrt.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))))
(sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))
(fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))
(*.f64 #s(literal -4 binary64) c)
#s(literal -4 binary64)
(*.f64 b b)
(*.f64 a #s(literal -2 binary64))
#s(literal -2 binary64)

localize240.0ms (2.4%)

Memory
1.3MiB live, 157.3MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy96.9%
(fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))
✓accuracy81.6%
(+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))
✓accuracy74.3%
(/.f64 (fma.f64 b b (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))) (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal -2 binary64))))
✓accuracy64.1%
(sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))
✓accuracy100.0%
(*.f64 #s(literal -4 binary64) c)
✓accuracy99.9%
(/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (*.f64 a #s(literal 2 binary64)))
✓accuracy73.4%
(-.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))))
✓accuracy64.1%
(sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))
✓accuracy100.0%
(*.f64 a #s(literal -2 binary64))
✓accuracy100.0%
(*.f64 #s(literal 2 binary64) a)
✓accuracy92.2%
(*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b))
✓accuracy83.7%
(/.f64 (*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b)) (*.f64 #s(literal 2 binary64) a))
✓accuracy100.0%
(/.f64 b (neg.f64 a))
✓accuracy100.0%
(neg.f64 a)
✓accuracy100.0%
(*.f64 #s(literal -4 binary64) c)
✓accuracy94.4%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))
✓accuracy78.4%
(-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))
✓accuracy64.1%
(sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))
Samples
66.0ms100×0valid
44.0ms6×3valid
34.0ms64×2valid
33.0ms86×1valid
Compiler

Compiled 299 to 36 computations (88% saved)

Precisions
Click to see histograms. Total time spent on operations: 119.0ms
adjust: 49.0ms (41.3% of total)
ival-mult: 38.0ms (32% of total)
ival-div: 15.0ms (12.6% of total)
ival-add: 7.0ms (5.9% of total)
ival-sqrt: 4.0ms (3.4% of total)
ival-sub: 4.0ms (3.4% of total)
exact: 1.0ms (0.8% of total)
ival-neg: 1.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series100.0ms (1%)

Memory
31.1MiB live, 108.3MiB allocated
Counts
20 → 564
Calls
Call 1
Inputs
#<alt (*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))>
#<alt (/.f64 #s(literal -1/2 binary64) a)>
#<alt (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))>
#<alt (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))>
#<alt (/.f64 b (neg.f64 a))>
#<alt (neg.f64 a)>
#<alt (/.f64 (*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b)) (*.f64 #s(literal 2 binary64) a))>
#<alt (*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b))>
#<alt (/.f64 (*.f64 a #s(literal -2 binary64)) b)>
#<alt (*.f64 a #s(literal -2 binary64))>
#<alt (-.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))))>
#<alt (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (*.f64 a #s(literal 2 binary64)))>
#<alt (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))>
#<alt (fma.f64 b b (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c))))>
#<alt (/.f64 (fma.f64 b b (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))) (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal -2 binary64))))>
#<alt (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))>
#<alt (*.f64 a (*.f64 #s(literal 4 binary64) c))>
#<alt (*.f64 #s(literal -4 binary64) c)>
#<alt (*.f64 #s(literal 2 binary64) a)>
#<alt (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))>
Outputs
#<alt (* -1 (/ c b))>
#<alt (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))>
#<alt (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))>
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#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (+ (* 1/2 (/ (- (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))) (/ (* b c) a)) c)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ (* -1/2 (- (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))) (/ (* b c) a))) (* -1/2 (/ (+ (* -1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))) (/ (* b c) a))))))) c))) c)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (+ (* -1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))) (/ (* b c) a))))))))))) (* -1/8 (/ (* (pow b 2) (* c (- (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))) (/ (* b c) a)))) a))) c)) (* 1/2 (+ (* -1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))) (/ (* b c) a))))))))) c)) (* -1/2 (- (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))) (/ (* b c) a)))) c)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* 4 (* a c))>
#<alt (+ (* 4 (* a c)) (pow b 2))>
#<alt (+ (* 4 (* a c)) (pow b 2))>
#<alt (+ (* 4 (* a c)) (pow b 2))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* 4 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* 4 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* 4 (/ (* a c) (pow b 2)))))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* 4 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* 4 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* 4 (/ (* a c) (pow b 2)))))>
#<alt (pow b 2)>
#<alt (+ (* 4 (* a c)) (pow b 2))>
#<alt (+ (* 4 (* a c)) (pow b 2))>
#<alt (+ (* 4 (* a c)) (pow b 2))>
#<alt (* 4 (* a c))>
#<alt (* a (+ (* 4 c) (/ (pow b 2) a)))>
#<alt (* a (+ (* 4 c) (/ (pow b 2) a)))>
#<alt (* a (+ (* 4 c) (/ (pow b 2) a)))>
#<alt (* 4 (* a c))>
#<alt (* -1 (* a (+ (* -4 c) (* -1 (/ (pow b 2) a)))))>
#<alt (* -1 (* a (+ (* -4 c) (* -1 (/ (pow b 2) a)))))>
#<alt (* -1 (* a (+ (* -4 c) (* -1 (/ (pow b 2) a)))))>
#<alt (pow b 2)>
#<alt (+ (* 4 (* a c)) (pow b 2))>
#<alt (+ (* 4 (* a c)) (pow b 2))>
#<alt (+ (* 4 (* a c)) (pow b 2))>
#<alt (* 4 (* a c))>
#<alt (* c (+ (* 4 a) (/ (pow b 2) c)))>
#<alt (* c (+ (* 4 a) (/ (pow b 2) c)))>
#<alt (* c (+ (* 4 a) (/ (pow b 2) c)))>
#<alt (* 4 (* a c))>
#<alt (* -1 (* c (+ (* -4 a) (* -1 (/ (pow b 2) c)))))>
#<alt (* -1 (* c (+ (* -4 a) (* -1 (/ (pow b 2) c)))))>
#<alt (* -1 (* c (+ (* -4 a) (* -1 (/ (pow b 2) c)))))>
#<alt (* 4 (* a c))>
#<alt (* 4 (* a c))>
#<alt (* 4 (* a c))>
#<alt (* 4 (* a c))>
#<alt (* 4 (* a c))>
#<alt (* 4 (* a c))>
#<alt (* 4 (* a c))>
#<alt (* 4 (* a c))>
#<alt (* 4 (* a c))>
#<alt (* 4 (* a c))>
#<alt (* 4 (* a c))>
#<alt (* 4 (* a c))>
#<alt (* 4 (* a c))>
#<alt (* 4 (* a c))>
#<alt (* 4 (* a c))>
#<alt (* 4 (* a c))>
#<alt (* 4 (* a c))>
#<alt (* 4 (* a c))>
#<alt (* 4 (* a c))>
#<alt (* 4 (* a c))>
#<alt (* 4 (* a c))>
#<alt (* 4 (* a c))>
#<alt (* 4 (* a c))>
#<alt (* 4 (* a c))>
#<alt (* -4 c)>
#<alt (* -4 c)>
#<alt (* -4 c)>
#<alt (* -4 c)>
#<alt (* -4 c)>
#<alt (* -4 c)>
#<alt (* -4 c)>
#<alt (* -4 c)>
#<alt (* -4 c)>
#<alt (* -4 c)>
#<alt (* -4 c)>
#<alt (* -4 c)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (+ b (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ (* b (+ 1 (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ (* b (+ 1 (* 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)))))))) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (* 2 b)>
#<alt (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))>
#<alt (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))>
#<alt (* 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)))))))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* -1 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))>
#<alt (* -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))>
#<alt (* -1 (/ (+ (* -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))>
#<alt (* 2 b)>
#<alt (+ (* -2 (/ (* a c) b)) (* 2 b))>
#<alt (+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))>
#<alt (+ (* 2 b) (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))>
#<alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))>
#<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)))))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -1 (* a (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -1 (* a (+ (* -1 (/ (+ b (* -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))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* 2 b)>
#<alt (+ (* -2 (/ (* a c) b)) (* 2 b))>
#<alt (+ (* 2 b) (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))>
#<alt (+ (* 2 b) (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))>
#<alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))>
#<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)) (/ b c)))))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ b (* -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))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
Calls

141 calls:

TimeVariablePointExpression
28.0ms
b
@-inf
(/ (+ (* b b) (+ (* b b) (* a (* 4 c)))) (* (+ b (sqrt (+ (* a (* -4 c)) (* b b)))) (* a -2)))
5.0ms
c
@inf
(+ (* b b) (+ (* b b) (* a (* 4 c))))
2.0ms
a
@inf
(* c (/ (* a -2) b))
2.0ms
c
@inf
(/ (+ (* b b) (+ (* b b) (* a (* 4 c)))) (* (+ b (sqrt (+ (* a (* -4 c)) (* b b)))) (* a -2)))
2.0ms
a
@inf
(/ (+ (* b b) (+ (* b b) (* a (* 4 c)))) (* (+ b (sqrt (+ (* a (* -4 c)) (* b b)))) (* a -2)))

rewrite369.0ms (3.7%)

Memory
10.4MiB live, 521.8MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 478×lower-/.f32
5 464×lower-/.f64
4 990×lower-fma.f32
4 984×lower-fma.f64
3 782×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033178
059174
1227174
21939174
08442172
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
20 → 1 091
Calls
Call 1
Inputs
(*.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 #s(literal -1/2 binary64) a)
(-.f64 b (sqrt.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 b (neg.f64 a))
(neg.f64 a)
(/.f64 (*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b)) (*.f64 #s(literal 2 binary64) a))
(*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b))
(/.f64 (*.f64 a #s(literal -2 binary64)) b)
(*.f64 a #s(literal -2 binary64))
(-.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))))
(/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (*.f64 a #s(literal 2 binary64)))
(fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))
(fma.f64 b b (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c))))
(/.f64 (fma.f64 b b (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))) (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal -2 binary64))))
(fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))
(*.f64 a (*.f64 #s(literal 4 binary64) c))
(*.f64 #s(literal -4 binary64) c)
(*.f64 #s(literal 2 binary64) a)
(+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))
Outputs
(+.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))))
(+.f64 (/.f64 b (*.f64 a #s(literal -2 binary64))) (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (*.f64 a #s(literal 2 binary64))))
(+.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) b) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (neg.f64 (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))) (*.f64 a #s(literal 2 binary64))) (/.f64 b (*.f64 a #s(literal 2 binary64))))
(-.f64 (/.f64 b (*.f64 a #s(literal -2 binary64))) (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (*.f64 a #s(literal -2 binary64))))
(-.f64 (/.f64 (*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (*.f64 a #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (*.f64 a a))) (/.f64 (*.f64 b (*.f64 a #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (*.f64 a a))))
(-.f64 (/.f64 (*.f64 (*.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 1/8 binary64) (*.f64 a (*.f64 a a)))) (fma.f64 (/.f64 b (*.f64 a #s(literal 2 binary64))) (*.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 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) (*.f64 #s(literal 4 binary64) (*.f64 a a))))) (/.f64 (/.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal 8 binary64))) (fma.f64 (/.f64 b (*.f64 a #s(literal 2 binary64))) (*.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 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) (*.f64 #s(literal 4 binary64) (*.f64 a a))))))
(-.f64 (/.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) (*.f64 #s(literal 4 binary64) (*.f64 a a))) (*.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 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a a))) (*.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 (/.f64 (*.f64 b (*.f64 b b)) (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (*.f64 a #s(literal -2 binary64))) (/.f64 (/.f64 (*.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)))) (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (*.f64 a #s(literal -2 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (*.f64 a #s(literal -2 binary64))) (/.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 a #s(literal -2 binary64))))
(-.f64 (/.f64 (*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (*.f64 a #s(literal -2 binary64))) (*.f64 (*.f64 a #s(literal 2 binary64)) (*.f64 a #s(literal -2 binary64)))) (/.f64 (*.f64 (*.f64 a #s(literal 2 binary64)) (neg.f64 b)) (*.f64 (*.f64 a #s(literal 2 binary64)) (*.f64 a #s(literal -2 binary64)))))
(-.f64 (/.f64 (*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (/.f64 (*.f64 a #s(literal 2 binary64)) b)) (*.f64 (*.f64 a #s(literal 2 binary64)) (/.f64 (*.f64 a #s(literal 2 binary64)) b))) (/.f64 (*.f64 a #s(literal 2 binary64)) (*.f64 (*.f64 a #s(literal 2 binary64)) (/.f64 (*.f64 a #s(literal 2 binary64)) b))))
(-.f64 (/.f64 (*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) #s(literal 2 binary64)) (*.f64 (*.f64 a #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 a #s(literal 2 binary64)) (/.f64 b a)) (*.f64 (*.f64 a #s(literal 2 binary64)) #s(literal 2 binary64))))
(-.f64 (/.f64 (*.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal 2 binary64))) (*.f64 (*.f64 a #s(literal -2 binary64)) (*.f64 a #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) b) (*.f64 (*.f64 a #s(literal -2 binary64)) (*.f64 a #s(literal 2 binary64)))))
(-.f64 (/.f64 (*.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal -2 binary64))) (*.f64 #s(literal 4 binary64) (*.f64 a a))) (/.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) (neg.f64 b)) (*.f64 #s(literal 4 binary64) (*.f64 a a))))
(-.f64 (/.f64 (*.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (/.f64 (*.f64 a #s(literal 2 binary64)) b)) (*.f64 (*.f64 a #s(literal -2 binary64)) (/.f64 (*.f64 a #s(literal 2 binary64)) b))) (/.f64 (*.f64 a #s(literal -2 binary64)) (*.f64 (*.f64 a #s(literal -2 binary64)) (/.f64 (*.f64 a #s(literal 2 binary64)) b))))
(-.f64 (/.f64 (*.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) #s(literal 2 binary64)) (*.f64 (*.f64 a #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) (/.f64 b a)) (*.f64 (*.f64 a #s(literal -2 binary64)) #s(literal 2 binary64))))
(-.f64 (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 a #s(literal 2 binary64))) (*.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal 2 binary64)))) (/.f64 (*.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) b) (*.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal 2 binary64)))))
(-.f64 (/.f64 (*.f64 a #s(literal -2 binary64)) (*.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal -2 binary64)))) (/.f64 (*.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (neg.f64 b)) (*.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal -2 binary64)))))
(-.f64 (/.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) b) (*.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (/.f64 (*.f64 a #s(literal 2 binary64)) b))) (/.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (/.f64 (*.f64 a #s(literal 2 binary64)) b))))
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) #s(literal 2 binary64))) (/.f64 (*.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (/.f64 b a)) (*.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) #s(literal 2 binary64))))
(-.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a) (*.f64 a #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 a #s(literal 2 binary64)))) (/.f64 (*.f64 #s(literal 2 binary64) b) (*.f64 #s(literal 2 binary64) (*.f64 a #s(literal 2 binary64)))))
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(*.f64 (fma.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 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) (+.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 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))
(*.f64 (-.f64 (*.f64 b b) (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 (neg.f64 (-.f64 (*.f64 b b) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))))
(*.f64 (neg.f64 (fma.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 b (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 b b (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 b)) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b)))
(*.f64 (/.f64 (-.f64 (*.f64 b b) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (-.f64 (*.f64 b b) (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 (-.f64 (*.f64 b b) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (-.f64 (*.f64 b (*.f64 b 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)))))) (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))

simplify416.0ms (4.1%)

Memory
-10.3MiB live, 628.0MiB allocated
Algorithm
1×egg-herbie
Rules
7 402×lower-fma.f64
7 402×lower-fma.f32
7 120×lower-*.f64
7 120×lower-*.f32
5 482×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
011129888
136809588
081599220
Stop Event
1×iter limit
1×node limit
Counts
564 → 561
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 (+ (* -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)
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(- b (* (sqrt (* a c)) (sqrt -4)))
(- (* b (+ 1 (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4)))
(- (* b (+ 1 (* 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)))))))) (* (sqrt (* a c)) (sqrt -4)))
(* 2 (/ (* a c) b))
(/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* 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)
(/ (- (* 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)
(* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 2)))
(* -1 (* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2)))))))
(* -1 (* 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))
(* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b))))
(* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b))))
(* a (- (* a (- (* a (- (* 1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)) (* -4 (/ (pow c 3) (pow b 5))))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b))))
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(* a (- (/ b a) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ b a)) (+ (* 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 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (- (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (- (* -1 (/ (+ b (* -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))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* 2 (/ (* a c) b))
(* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b))))
(* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b))))
(* c (- (* c (- (* c (- (* 1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)) (* -4 (/ (pow a 3) (pow b 5))))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b))))
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(* c (- (/ b c) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ b c)) (+ (* 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 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (- (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (- (* -1 (/ (+ b (* -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))) c)) (* 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))))))))
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))))))))
(* (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))))))))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -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 (/ 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))
(* -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))
(* -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 b))
(* -2 (/ a b))
(* -2 (/ a b))
(* -2 (/ a b))
(* -2 (/ a b))
(* -2 (/ a b))
(* -2 (/ a b))
(* -2 (/ a b))
(* -2 (/ a b))
(* -2 (/ a b))
(* -2 (/ a b))
(* -2 (/ a b))
(* -2 (/ a b))
(* -2 (/ a b))
(* -2 (/ a b))
(* -2 (/ a b))
(* -2 (/ a b))
(* -2 (/ a b))
(* -2 (/ a b))
(* -2 (/ a b))
(* -2 (/ a b))
(* -2 (/ a b))
(* -2 (/ a b))
(* -2 (/ a b))
(* -2 a)
(* -2 a)
(* -2 a)
(* -2 a)
(* -2 a)
(* -2 a)
(* -2 a)
(* -2 a)
(* -2 a)
(* -2 a)
(* -2 a)
(* -2 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))))
(- (+ (* 1/4 (* (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))))) (* 1/2 (/ b a)))
(* -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 (- (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))) (* 1/2 (/ b (* a c)))))
(* 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))))) (* 1/2 (/ b (* a c)))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (- (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 1/2 (/ b a))) 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))))))
(* 1/2 (/ b a))
(/ (+ (* -1 (/ (* a c) b)) (* 1/2 b)) a)
(/ (+ (* 1/2 b) (* a (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))))) a)
(/ (+ (* 1/2 b) (* a (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))))) a)
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -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)))))
(+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/32 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 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))) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1))))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (+ (* -1/1024 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))))))
(* 1/2 (/ b a))
(+ (* -1 (/ c b)) (* 1/2 (/ b a)))
(+ (* 1/2 (/ b a)) (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))))
(+ (* 1/2 (/ b a)) (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* 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 (+ (* -1/16 (* (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))))))
(* c (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/32 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 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 (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
(* -1 (* c (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/1024 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* (pow b 2) (+ (* -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 (* (sqrt (/ c a)) (sqrt -4))) (* (pow b 2) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/32 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))
(* 1/2 (/ b a))
(* b (+ (* -1 (/ c (pow b 2))) (* 1/2 (/ 1 a))))
(* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (* 1/2 (/ 1 a)))))
(* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (* 1/2 (/ 1 a))))))
(* -1/2 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (* 1/2 (/ 1 a)))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (* 1/2 (/ 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))) (* 1/2 (/ 1 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))))
(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)))))
(* 4 (* a c))
(+ (* 2 (pow b 2)) (* 4 (* a c)))
(+ (* 2 (pow b 2)) (* 4 (* a c)))
(+ (* 2 (pow b 2)) (* 4 (* a c)))
(* 2 (pow b 2))
(* (pow b 2) (+ 2 (* 4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 2 (* 4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 2 (* 4 (/ (* a c) (pow b 2)))))
(* 2 (pow b 2))
(* (pow b 2) (+ 2 (* 4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 2 (* 4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 2 (* 4 (/ (* a c) (pow b 2)))))
(* 2 (pow b 2))
(+ (* 2 (pow b 2)) (* 4 (* a c)))
(+ (* 2 (pow b 2)) (* 4 (* a c)))
(+ (* 2 (pow b 2)) (* 4 (* a c)))
(* 4 (* a c))
(* a (+ (* 2 (/ (pow b 2) a)) (* 4 c)))
(* a (+ (* 2 (/ (pow b 2) a)) (* 4 c)))
(* a (+ (* 2 (/ (pow b 2) a)) (* 4 c)))
(* 4 (* a c))
(* -1 (* a (+ (* -4 c) (* -2 (/ (pow b 2) a)))))
(* -1 (* a (+ (* -4 c) (* -2 (/ (pow b 2) a)))))
(* -1 (* a (+ (* -4 c) (* -2 (/ (pow b 2) a)))))
(* 2 (pow b 2))
(+ (* 2 (pow b 2)) (* 4 (* a c)))
(+ (* 2 (pow b 2)) (* 4 (* a c)))
(+ (* 2 (pow b 2)) (* 4 (* a c)))
(* 4 (* a c))
(* c (+ (* 2 (/ (pow b 2) c)) (* 4 a)))
(* c (+ (* 2 (/ (pow b 2) c)) (* 4 a)))
(* c (+ (* 2 (/ (pow b 2) c)) (* 4 a)))
(* 4 (* a c))
(* -1 (* c (+ (* -4 a) (* -2 (/ (pow b 2) c)))))
(* -1 (* c (+ (* -4 a) (* -2 (/ (pow b 2) c)))))
(* -1 (* c (+ (* -4 a) (* -2 (/ (pow b 2) 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 (+ (* -1/2 (* b (- (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (+ (* -4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 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 (+ (* -1/2 (* b (- (* 2 (/ 1 (* (pow a 2) (* c (pow (sqrt -4) 4))))) (* (sqrt (/ 1 (* a c))) (/ (- (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (+ (* -4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))))) (sqrt -4)))))) (* -1/2 (- (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (+ (* -4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2)))))))
(* -1/2 (/ b a))
(* b (- (* -1/2 (/ (- (* 2 c) (* -1 c)) (pow b 2))) (* 1/2 (/ 1 a))))
(* b (- (+ (* -1/2 (/ (- (* 2 c) (* -1 c)) (pow b 2))) (* 1/2 (/ (+ (* -1 (* a (* c (- (* 2 c) (* -1 c))))) (* -1 (* a (pow c 2)))) (pow b 4)))) (* 1/2 (/ 1 a))))
(* b (- (+ (* -1/2 (/ (- (* 2 c) (* -1 c)) (pow b 2))) (+ (* 1/2 (/ (+ (* -2 (* (pow a 2) (pow c 3))) (+ (* -1 (* (pow a 2) (* (pow c 2) (- (* 2 c) (* -1 c))))) (* a (* c (+ (* -1 (* a (* c (- (* 2 c) (* -1 c))))) (* -1 (* a (pow c 2)))))))) (pow b 6))) (* 1/2 (/ (+ (* -1 (* a (* c (- (* 2 c) (* -1 c))))) (* -1 (* a (pow c 2)))) (pow b 4))))) (* 1/2 (/ 1 a))))
(* -1/2 (/ (pow b 3) (* (pow a 2) c)))
(* -1 (* (pow b 3) (+ (* 1/2 (/ 1 (* a (pow b 2)))) (* 1/2 (/ 1 (* (pow a 2) c))))))
(* -1 (* (pow b 3) (+ (* 1/2 (/ (+ (* -2 c) (* -1 c)) (pow b 4))) (+ (/ 1/2 (* a (pow b 2))) (* 1/2 (/ 1 (* (pow a 2) c)))))))
(* -1 (* (pow b 3) (+ (* 1/2 (/ (+ (* -2 c) (* -1 c)) (pow b 4))) (+ (* 1/2 (/ (+ (* -2 (* a (pow c 2))) (+ (* -1 (* a (* c (+ (* -2 c) (* -1 c))))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 3) (pow c 2)))))) (pow b 6))) (+ (/ 1/2 (* a (pow b 2))) (* 1/2 (/ 1 (* (pow a 2) c))))))))
(* -1/2 (/ b a))
(/ (+ (* -1/2 b) (* -1/2 (* a (- (* 2 (/ c b)) (* -1 (/ c b)))))) a)
(/ (+ (* -1/2 b) (* a (+ (* -1/2 (- (* 2 (/ c b)) (* -1 (/ c b)))) (* 1/2 (* a (+ (* -1 (/ (* c (- (* 2 (/ c b)) (* -1 (/ c b)))) (pow b 2))) (* -1 (/ (pow c 2) (pow b 3))))))))) a)
(/ (+ (* -1/2 b) (* a (+ (* -1/2 (- (* 2 (/ c b)) (* -1 (/ c b)))) (* a (+ (* 1/2 (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (+ (* -1 (/ (* (pow c 2) (- (* 2 (/ c b)) (* -1 (/ c b)))) (pow b 4))) (/ (* c (+ (* -1 (/ (* c (- (* 2 (/ c b)) (* -1 (/ c b)))) (pow b 2))) (* -1 (/ (pow c 2) (pow b 3))))) (pow b 2)))))) (* 1/2 (+ (* -1 (/ (* c (- (* 2 (/ c b)) (* -1 (/ c b)))) (pow b 2))) (* -1 (/ (pow c 2) (pow b 3)))))))))) a)
(* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* -1/2 (/ (- (* 2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* a b) (pow (sqrt -4) 2)))) a))) a)
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* -1/2 (/ (- (* 2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* a b) (pow (sqrt -4) 2)))) a)) (* 1/2 (/ (+ (* 2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ a c)) (/ (* b (- (* 2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))) (pow a 2))))) a)
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* -1/2 (/ (- (* 2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* a b) (pow (sqrt -4) 2)))) a)) (+ (* 1/2 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (+ (* 2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ a c)) (/ (* b (- (* 2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4))))) (sqrt -4)))) (* 1/2 (/ (* a (* (pow b 2) (- (* 2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* a b) (pow (sqrt -4) 2)))))) (* c (pow (sqrt -4) 2))))) (pow a 3))) (* 1/2 (/ (+ (* 2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ a c)) (/ (* b (- (* 2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))) (pow a 2)))))) a)
(* (sqrt (/ c a)) (sqrt -1))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1/2 (/ (- (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))) (* a b)) a))) a))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* 1/2 (- (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))) (* a b))) (* 1/2 (/ (+ (* -1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))) (* a b))))))) a))) a))) a))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))) (* a b)))))))) (* 1/2 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (+ (* -1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))) (* a b))))))))))) (* -1/8 (/ (* a (* (pow b 2) (- (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))) (* a b)))) c))) a))) a)) (* 1/2 (- (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))) (* a b)))) a))) a))
(* -1/2 (/ b a))
(+ (* -3/2 (/ c b)) (* -1/2 (/ b a)))
(+ (* -1/2 (/ b a)) (* c (- (* 1/2 (* c (+ (* -3 (/ a (pow b 3))) (* -1 (/ a (pow b 3)))))) (* 3/2 (/ 1 b)))))
(+ (* -1/2 (/ b a)) (* c (- (* c (+ (* 1/2 (* c (+ (* -3 (/ (pow a 2) (pow b 5))) (+ (* -2 (/ (pow a 2) (pow b 5))) (/ (* a (+ (* -3 (/ a (pow b 3))) (* -1 (/ a (pow b 3))))) (pow b 2)))))) (* 1/2 (+ (* -3 (/ a (pow b 3))) (* -1 (/ a (pow b 3))))))) (* 3/2 (/ 1 b)))))
(* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* -1/2 (/ (- (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* b c) (* a (pow (sqrt -4) 2))))) c)))
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (+ (* -1/2 (/ (- (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* b c) (* a (pow (sqrt -4) 2))))) c)) (* 1/2 (/ (+ (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ c a)) (/ (* b (- (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* b c) (* a (pow (sqrt -4) 2)))))) (sqrt -4)))) (pow c 2)))))
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (+ (* -1/2 (/ (- (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* b c) (* a (pow (sqrt -4) 2))))) c)) (+ (* 1/2 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ c a)) (/ (* b (- (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* b c) (* a (pow (sqrt -4) 2)))))) (sqrt -4))))) (sqrt -4)))) (* 1/2 (/ (* (pow b 2) (* c (- (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* b c) (* a (pow (sqrt -4) 2))))))) (* a (pow (sqrt -4) 2))))) (pow c 3))) (* 1/2 (/ (+ (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ c a)) (/ (* b (- (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* b c) (* a (pow (sqrt -4) 2)))))) (sqrt -4)))) (pow c 2))))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* 1/2 (/ (- (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))) (/ (* b c) a)) c)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/2 (- (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))) (/ (* b c) a))) (* -1/2 (/ (+ (* -1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))) (/ (* b c) a))))))) c))) c)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (+ (* -1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))) (/ (* b c) a))))))))))) (* -1/8 (/ (* (pow b 2) (* c (- (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))) (/ (* b c) a)))) a))) c)) (* 1/2 (+ (* -1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))) (/ (* b c) a))))))))) c)) (* -1/2 (- (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))) (/ (* b c) a)))) c)) (* (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))
(* 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 (+ (* -4 c) (* -1 (/ (pow b 2) a)))))
(* -1 (* a (+ (* -4 c) (* -1 (/ (pow b 2) a)))))
(* -1 (* a (+ (* -4 c) (* -1 (/ (pow b 2) 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))
(* 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 (+ (* -4 a) (* -1 (/ (pow b 2) c)))))
(* -1 (* c (+ (* -4 a) (* -1 (/ (pow b 2) c)))))
(* -1 (* c (+ (* -4 a) (* -1 (/ (pow b 2) 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 c)
(* -4 c)
(* -4 c)
(* -4 c)
(* -4 c)
(* -4 c)
(* -4 c)
(* -4 c)
(* -4 c)
(* -4 c)
(* -4 c)
(* -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)
(* (sqrt (* a c)) (sqrt -4))
(+ b (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (+ 1 (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (+ 1 (* 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)))))))) (* (sqrt (* a c)) (sqrt -4)))
(* 2 b)
(* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* 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))
(* -1 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) 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 (/ (+ (* -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)
(+ (* -2 (/ (* a c) b)) (* 2 b))
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ (* 2 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 (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))
(* 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 (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (+ b (* -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))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* 2 b)
(+ (* -2 (/ (* a c) b)) (* 2 b))
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ (* 2 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 (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))
(* 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 (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (+ b (* -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))) c)) (* 2 (* (sqrt (/ a c)) (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))))))
(-.f64 (*.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 b))
(+ (* -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)))))))
(fma.f64 a (fma.f64 a (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 a (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64))) b) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 c (neg.f64 c)) (*.f64 b (*.f64 b b)))) (/.f64 c (neg.f64 b)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 b a)))
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(fma.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 b a))))
(+ (* -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))))))
(fma.f64 #s(literal -1/16 binary64) (*.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))))) (fma.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 b a)))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(neg.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(-.f64 (/.f64 (*.f64 b #s(literal -1/2 binary64)) a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(neg.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (*.f64 b #s(literal 1/2 binary64))) 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)))
(neg.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 (fma.f64 #s(literal 1/128 binary64) (*.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)))) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c))))) a)) a)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 b a)))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(fma.f64 b (fma.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (/.f64 b (sqrt.f64 #s(literal -4 binary64)))) (/.f64 #s(literal -1/2 binary64) a)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))))
(+ (* 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)))))
(fma.f64 b (fma.f64 b (fma.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (*.f64 #s(literal -1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (pow.f64 a #s(literal 5 binary64)))))) (/.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))))) (/.f64 #s(literal -1/2 binary64) a)) (*.f64 #s(literal 1/2 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 (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))))) 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)
(/ (+ (* -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)
(/.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))) (neg.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) #s(literal 20 binary64))) (*.f64 a (pow.f64 b #s(literal 6 binary64))))) b)
(* -1 (/ b a))
(/.f64 b (neg.f64 a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b))) (neg.f64 b))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(*.f64 (-.f64 (fma.f64 (neg.f64 a) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) a)) (/.f64 c (*.f64 b b))) (neg.f64 b))
(* -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))))))
(*.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a a)) (pow.f64 b #s(literal 6 binary64))) (-.f64 (fma.f64 (neg.f64 a) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) a)) (/.f64 c (*.f64 b b)))) (neg.f64 b))
(* -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 (+ (* -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)))
(*.f64 c (fma.f64 c (fma.f64 c (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 c (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64))) (*.f64 b a)) (/.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)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(*.f64 c (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (/.f64 b (*.f64 c a)))))
(* 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))))))
(*.f64 c (fma.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 a a)))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (/.f64 b (*.f64 c a))))))
(* 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)))))))
(*.f64 c (fma.f64 #s(literal -1/16 binary64) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 5 binary64)))))) (fma.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 a a)))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (/.f64 b (*.f64 c a)))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(neg.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (/.f64 (*.f64 b #s(literal 1/2 binary64)) (*.f64 c a))))
(* -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)))))
(*.f64 (neg.f64 c) (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (*.f64 b #s(literal -1/2 binary64)) a)) c)))
(* -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)))))
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(* -4 c)
(*.f64 c #s(literal -4 binary64))
(* -4 c)
(*.f64 c #s(literal -4 binary64))
(* -4 c)
(*.f64 c #s(literal -4 binary64))
(* -4 c)
(*.f64 c #s(literal -4 binary64))
(* -4 c)
(*.f64 c #s(literal -4 binary64))
(* -4 c)
(*.f64 c #s(literal -4 binary64))
(* -4 c)
(*.f64 c #s(literal -4 binary64))
(* -4 c)
(*.f64 c #s(literal -4 binary64))
(* -4 c)
(*.f64 c #s(literal -4 binary64))
(* -4 c)
(*.f64 c #s(literal -4 binary64))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a)))
(+ b (* (sqrt (* a c)) (sqrt -4)))
(fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a)) b)
(+ (* b (+ 1 (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4)))
(fma.f64 b (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (/.f64 b (sqrt.f64 #s(literal -4 binary64))) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))))
(+ (* b (+ 1 (* 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)))))))) (* (sqrt (* a c)) (sqrt -4)))
(fma.f64 b (fma.f64 b (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 a a)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -4 binary64))))) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))))
(* 2 b)
(*.f64 b #s(literal 2 binary64))
(* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))
(*.f64 b (fma.f64 #s(literal -2 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal 2 binary64)))
(* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(*.f64 b (fma.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 c (*.f64 b b)) (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b #s(literal 4 binary64)))) #s(literal 2 binary64)))
(* 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 (+.f64 (fma.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 c (*.f64 b b)) (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b #s(literal 4 binary64)))) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 a a)))) (pow.f64 b #s(literal 6 binary64)))))
(* 2 (/ (* a c) b))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 c a)) b)
(* -1 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))
(/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 c a (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (*.f64 b b)))) 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))
(/.f64 (fma.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (*.f64 b b))) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 a a)))) (pow.f64 b #s(literal 4 binary64)))) (neg.f64 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))) (* -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 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 a a))) (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (*.f64 b b))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) #s(literal 20 binary64))) (pow.f64 b #s(literal 6 binary64))))) (neg.f64 b))
(* 2 b)
(*.f64 b #s(literal 2 binary64))
(+ (* -2 (/ (* a c) b)) (* 2 b))
(fma.f64 b #s(literal 2 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c a)) b))
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(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)))
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(fma.f64 b #s(literal 2 binary64) (*.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 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 c #s(literal -2 binary64)) b))))
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a)))
(* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))
(*.f64 a (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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (/.f64 (*.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))))
(* 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 (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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (/.f64 (*.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 (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(*.f64 (neg.f64 a) (fma.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 b (neg.f64 a))))
(* -1 (* a (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(neg.f64 (*.f64 a (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64)))) b) a))))
(* -1 (* a (+ (* -1 (/ (+ b (* -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))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(neg.f64 (*.f64 a (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (-.f64 b (/.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 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 a c))) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))))) a)) a))))
(* 2 b)
(*.f64 b #s(literal 2 binary64))
(+ (* -2 (/ (* a c) b)) (* 2 b))
(fma.f64 b #s(literal 2 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c a)) b))
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(fma.f64 c (*.f64 #s(literal -2 binary64) (fma.f64 (*.f64 a a) (/.f64 c (*.f64 b (*.f64 b b))) (/.f64 a b))) (*.f64 b #s(literal 2 binary64)))
(+ (* 2 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 #s(literal -4 binary64) (/.f64 (*.f64 c (*.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 b #s(literal 2 binary64)))
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a)))
(* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))
(*.f64 c (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c)) (/.f64 b 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 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c)))))) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c)) (/.f64 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)))))
(*.f64 c (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64))))) (pow.f64 b #s(literal 4 binary64))) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c)))))) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c)) (/.f64 b c)))))
(* -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 (+ (* -1 (/ b c)) (* 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))) (/.f64 b (neg.f64 c)))))
(* -1 (* c (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(*.f64 (neg.f64 c) (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))) (/.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64)))) b) c)))
(* -1 (* c (+ (* -1 (/ (+ b (* -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))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(neg.f64 (*.f64 c (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))) (/.f64 (-.f64 b (/.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)))))) c)) c))))

eval263.0ms (2.6%)

Memory
5.6MiB live, 589.6MiB allocated
Compiler

Compiled 63 475 to 4 054 computations (93.6% saved)

prune228.0ms (2.3%)

Memory
-12.2MiB live, 593.0MiB allocated
Pruning

31 alts after pruning (28 fresh and 3 done)

PrunedKeptTotal
New1 982232 005
Fresh5510
Picked235
Done000
Total1 989312 020
Accuracy
89.9%
Counts
2 020 → 31
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶50.9%
(fma.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a) #s(literal 1/2 binary64) (/.f64 b (*.f64 a #s(literal -2 binary64))))
▶30.0%
(fma.f64 b (/.f64 c (*.f64 b b)) (/.f64 b (neg.f64 a)))
25.5%
(/.f64 (fma.f64 b b (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))) (*.f64 (+.f64 b (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) (*.f64 a #s(literal -2 binary64))))
28.4%
(/.f64 (/.f64 (fma.f64 b (+.f64 b b) (*.f64 a (*.f64 c #s(literal 4 binary64)))) (*.f64 a #s(literal -2 binary64))) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))
25.7%
(/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b) (*.f64 #s(literal 2 binary64) a))
49.9%
(/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) (*.f64 #s(literal 2 binary64) a))
35.0%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))
✓28.3%
(/.f64 (*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b)) (*.f64 #s(literal 2 binary64) a))
28.2%
(/.f64 (*.f64 c (/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 a #s(literal -2 binary64))))) (*.f64 #s(literal 2 binary64) a))
27.1%
(/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) (*.f64 b (*.f64 a #s(literal 2 binary64))))
47.7%
(/.f64 (*.f64 #s(literal 4 binary64) (*.f64 c a)) (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal -2 binary64))))
▶35.2%
(/.f64 c (neg.f64 b))
17.4%
(/.f64 b (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) a))))
✓30.5%
(/.f64 b (neg.f64 a))
31.4%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 a a)) (-.f64 (*.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal -2 binary64))) (*.f64 (*.f64 a #s(literal -2 binary64)) (neg.f64 b)))))
30.4%
(/.f64 #s(literal 1 binary64) (/.f64 a (neg.f64 b)))
33.8%
(/.f64 #s(literal 1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))))
30.5%
(-.f64 (/.f64 (*.f64 b #s(literal -1/2 binary64)) a) (/.f64 b (*.f64 a #s(literal 2 binary64))))
34.9%
(-.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) (*.f64 a #s(literal 2 binary64))) (/.f64 b (*.f64 a #s(literal 2 binary64))))
27.1%
(*.f64 (pow.f64 (/.f64 a c) #s(literal -1 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 b (*.f64 a #s(literal -2 binary64)))) #s(literal -1 binary64)))
30.2%
(*.f64 (/.f64 (*.f64 a #s(literal -2 binary64)) (*.f64 a b)) (*.f64 c #s(literal 1/2 binary64)))
27.4%
(*.f64 (/.f64 c a) (*.f64 (*.f64 a (/.f64 #s(literal -2 binary64) b)) #s(literal 1/2 binary64)))
28.2%
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 c (*.f64 a (/.f64 #s(literal -2 binary64) b))))
▶49.9%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))))
✓51.0%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))
▶34.9%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))))
46.4%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))))
30.4%
(*.f64 (/.f64 #s(literal -1 binary64) a) (pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal -1 binary64)))
30.4%
(*.f64 (/.f64 #s(literal -1 binary64) a) b)
27.0%
(*.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 a #s(literal 2 binary64)))))
14.4%
(exp.f64 (*.f64 (log.f64 (/.f64 a (neg.f64 b))) #s(literal -1 binary64)))
Compiler

Compiled 1 007 to 697 computations (30.8% saved)

simplify156.0ms (1.6%)

Memory
25.3MiB live, 303.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))
✓cost-diff0
(-.f64 b (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))))
✓cost-diff0
(/.f64 #s(literal -1/2 binary64) a)
✓cost-diff128
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))))
✓cost-diff0
(sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))
✓cost-diff0
(-.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))))
✓cost-diff0
(/.f64 #s(literal -1/2 binary64) a)
✓cost-diff0
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))))
✓cost-diff0
(/.f64 b (neg.f64 a))
✓cost-diff0
(*.f64 b b)
✓cost-diff0
(/.f64 c (*.f64 b b))
✓cost-diff640
(fma.f64 b (/.f64 c (*.f64 b b)) (/.f64 b (neg.f64 a)))
✓cost-diff0
(neg.f64 b)
✓cost-diff0
(/.f64 c (neg.f64 b))
✓cost-diff0
(fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))
✓cost-diff0
(sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))
✓cost-diff0
(/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a)
✓cost-diff0
(fma.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a) #s(literal 1/2 binary64) (/.f64 b (*.f64 a #s(literal -2 binary64))))
Rules
3 592×lower-fma.f32
3 586×lower-fma.f64
3 048×lower-*.f32
3 034×lower-*.f64
1 446×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033235
061235
1102235
2176233
3282231
4437231
5882231
62272231
73936231
86731231
08026230
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(fma.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a) #s(literal 1/2 binary64) (/.f64 b (*.f64 a #s(literal -2 binary64))))
(/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a)
(sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))
(fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))
a
(*.f64 #s(literal -4 binary64) c)
#s(literal -4 binary64)
c
(*.f64 b b)
b
#s(literal 1/2 binary64)
(/.f64 b (*.f64 a #s(literal -2 binary64)))
(*.f64 a #s(literal -2 binary64))
#s(literal -2 binary64)
(/.f64 c (neg.f64 b))
c
(neg.f64 b)
b
(fma.f64 b (/.f64 c (*.f64 b b)) (/.f64 b (neg.f64 a)))
b
(/.f64 c (*.f64 b b))
c
(*.f64 b b)
(/.f64 b (neg.f64 a))
(neg.f64 a)
a
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))))
(/.f64 #s(literal -1/2 binary64) a)
#s(literal -1/2 binary64)
a
(-.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))))
b
(sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))
(*.f64 #s(literal -4 binary64) (*.f64 c a))
#s(literal -4 binary64)
(*.f64 c a)
c
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))))
(/.f64 #s(literal -1/2 binary64) a)
#s(literal -1/2 binary64)
a
(-.f64 b (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))))
b
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))
#s(literal 1 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))
(/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))
(fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))
(*.f64 #s(literal -4 binary64) c)
#s(literal -4 binary64)
c
(*.f64 b b)
Outputs
(fma.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a) #s(literal 1/2 binary64) (/.f64 b (*.f64 a #s(literal -2 binary64))))
(fma.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a) (/.f64 b (*.f64 a #s(literal -2 binary64))))
(/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a)
(sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))
(fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))
a
(*.f64 #s(literal -4 binary64) c)
#s(literal -4 binary64)
c
(*.f64 b b)
b
#s(literal 1/2 binary64)
(/.f64 b (*.f64 a #s(literal -2 binary64)))
(*.f64 a #s(literal -2 binary64))
#s(literal -2 binary64)
(/.f64 c (neg.f64 b))
c
(neg.f64 b)
b
(fma.f64 b (/.f64 c (*.f64 b b)) (/.f64 b (neg.f64 a)))
(-.f64 (/.f64 c b) (/.f64 b a))
b
(/.f64 c (*.f64 b b))
c
(*.f64 b b)
(/.f64 b (neg.f64 a))
(neg.f64 a)
a
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c))) b)) a)
(/.f64 #s(literal -1/2 binary64) a)
#s(literal -1/2 binary64)
a
(-.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))))
(-.f64 b (sqrt.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c))))
b
(sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))
(sqrt.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)))
(*.f64 #s(literal -4 binary64) (*.f64 c a))
(*.f64 a (*.f64 #s(literal -4 binary64) c))
#s(literal -4 binary64)
(*.f64 c a)
(*.f64 a c)
c
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))))
(/.f64 (fma.f64 b #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) a)
(/.f64 #s(literal -1/2 binary64) a)
#s(literal -1/2 binary64)
a
(-.f64 b (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))))
(+.f64 b (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))))
b
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))
#s(literal 1 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))
(/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))
(fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))
(*.f64 #s(literal -4 binary64) c)
#s(literal -4 binary64)
c
(*.f64 b b)

localize118.0ms (1.2%)

Memory
-1.3MiB live, 241.5MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy99.2%
(/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))
✓accuracy97.2%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))))
✓accuracy88.2%
(-.f64 b (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))))
✓accuracy75.6%
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))
✓accuracy100.0%
(-.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))))
✓accuracy100.0%
(*.f64 #s(literal -4 binary64) (*.f64 c a))
✓accuracy99.7%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))))
✓accuracy84.8%
(sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))
✓accuracy100.0%
(*.f64 b b)
✓accuracy100.0%
(neg.f64 a)
✓accuracy92.7%
(/.f64 c (*.f64 b b))
✓accuracy89.8%
(fma.f64 b (/.f64 c (*.f64 b b)) (/.f64 b (neg.f64 a)))
✓accuracy100.0%
(/.f64 c (neg.f64 b))
✓accuracy100.0%
(neg.f64 b)
✓accuracy100.0%
(*.f64 #s(literal -4 binary64) c)
✓accuracy99.9%
(/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a)
✓accuracy85.8%
(fma.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a) #s(literal 1/2 binary64) (/.f64 b (*.f64 a #s(literal -2 binary64))))
✓accuracy75.3%
(sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))
Samples
32.0ms132×0valid
22.0ms78×0invalid
11.0ms19×2valid
11.0ms25×1valid
1.0ms2×3valid
Compiler

Compiled 249 to 38 computations (84.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 52.0ms
ival-div: 17.0ms (32.7% of total)
ival-mult: 16.0ms (30.8% of total)
ival-sqrt: 6.0ms (11.5% of total)
ival-add: 5.0ms (9.6% of total)
adjust: 3.0ms (5.8% of total)
ival-sub: 2.0ms (3.8% of total)
ival-neg: 2.0ms (3.8% of total)
exact: 1.0ms (1.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series62.0ms (0.6%)

Memory
-26.2MiB live, 134.9MiB allocated
Counts
22 → 612
Calls
Call 1
Inputs
#<alt (fma.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a) #s(literal 1/2 binary64) (/.f64 b (*.f64 a #s(literal -2 binary64))))>
#<alt (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a)>
#<alt (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))>
#<alt (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))>
#<alt (/.f64 c (neg.f64 b))>
#<alt (neg.f64 b)>
#<alt (fma.f64 b (/.f64 c (*.f64 b b)) (/.f64 b (neg.f64 a)))>
#<alt (/.f64 c (*.f64 b b))>
#<alt (*.f64 b b)>
#<alt (/.f64 b (neg.f64 a))>
#<alt (*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))))>
#<alt (/.f64 #s(literal -1/2 binary64) a)>
#<alt (-.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))))>
#<alt (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))>
#<alt (*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))))>
#<alt (-.f64 b (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))))>
#<alt (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))>
#<alt (*.f64 #s(literal -4 binary64) c)>
#<alt (neg.f64 a)>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 c a))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))>
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))>
Outputs
#<alt (/ (+ (* -1/2 b) (* 1/2 b)) a)>
#<alt (/ (+ (* -1 (/ (* a c) b)) (+ (* -1/2 b) (* 1/2 b))) a)>
#<alt (/ (+ (* -1/2 b) (+ (* 1/2 b) (* a (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))))) a)>
#<alt (/ (+ (* -1/2 b) (+ (* 1/2 b) (* a (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))))) a)>
#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))>
#<alt (+ (* -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))))))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))>
#<alt (+ (* -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)))>
#<alt (+ (* -1/2 (/ b a)) (* 1/2 (/ b a)))>
#<alt (+ (* -1 (/ c b)) (+ (* -1/2 (/ b a)) (* 1/2 (/ b a))))>
#<alt (+ (* -1/2 (/ b a)) (+ (* 1/2 (/ b a)) (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))))>
#<alt (+ (* -1/2 (/ b a)) (+ (* 1/2 (/ b a)) (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))))>
#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))>
#<alt (* 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))))))>
#<alt (* 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)))))))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* -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)))))>
#<alt (* -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)))))>
#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))>
#<alt (+ (* 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)))))>
#<alt (* -1 (/ c b))>
#<alt (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)>
#<alt (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)>
#<alt (/ (+ (* -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)>
#<alt (* -1 (/ b a))>
#<alt (* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))>
#<alt (* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))>
#<alt (* -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))))))>
#<alt (/ b a)>
#<alt (/ (+ b (* -2 (/ (* a c) b))) a)>
#<alt (/ (+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) a)>
#<alt (/ (+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) a)>
#<alt (* (sqrt (/ c a)) (sqrt -4))>
#<alt (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* -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))))>
#<alt (+ (* -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)))))>
#<alt (* -2 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -2 (* (sqrt (/ c a)) (sqrt -1))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))))>
#<alt (+ (* -2 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1))))))>
#<alt (+ (* -2 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (+ (* -1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (* 1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))))))>
#<alt (/ b a)>
#<alt (+ (* -2 (/ c b)) (/ b a))>
#<alt (+ (* c (- (* -2 (/ (* a c) (pow b 3))) (* 2 (/ 1 b)))) (/ b a))>
#<alt (+ (* c (- (* c (+ (* -4 (/ (* (pow a 2) c) (pow b 5))) (* -2 (/ a (pow b 3))))) (* 2 (/ 1 b)))) (/ b a))>
#<alt (* (sqrt (/ c a)) (sqrt -4))>
#<alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ 1 (* a c))) (sqrt -4))))>
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ 1 (* a c))) (sqrt -4)))))>
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ 1 (* a c))) (sqrt -4))))))>
#<alt (* -2 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))))>
#<alt (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))>
#<alt (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))))))>
#<alt (* (sqrt (/ c a)) (sqrt -4))>
#<alt (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* (sqrt (/ c a)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))))>
#<alt (+ (* (sqrt (/ c a)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))>
#<alt (/ b a)>
#<alt (* b (+ (* -2 (/ c (pow b 2))) (/ 1 a)))>
#<alt (* b (+ (* -2 (/ c (pow b 2))) (+ (* -2 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))>
#<alt (* b (+ (* -4 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -2 (/ c (pow b 2))) (+ (* -2 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (* b (+ (* -2 (/ c (pow b 2))) (/ 1 a))))>
#<alt (* -1 (* b (+ (* -2 (/ c (pow b 2))) (+ (* -2 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))>
#<alt (* -1 (* b (+ (* -4 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -2 (/ c (pow b 2))) (+ (* -2 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))>
#<alt b>
#<alt (+ b (* -2 (/ (* a c) b)))>
#<alt (+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))>
#<alt (+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))>
#<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)))))>
#<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))))))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<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)))))))>
#<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))))))))>
#<alt b>
#<alt (+ b (* -2 (/ (* a c) b)))>
#<alt (+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))>
#<alt (+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))>
#<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)))))>
#<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))))))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
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#<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)))))))>
#<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))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ (* (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)))))))>
#<alt (+ (* (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)))))))))>
#<alt b>
#<alt (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))>
#<alt (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))>
#<alt (* 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)))))))>
#<alt (* -1 b)>
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#<alt (* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))>
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#<alt (pow b 2)>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (* -4 (* a c))>
#<alt (* a (+ (* -4 c) (/ (pow b 2) a)))>
#<alt (* a (+ (* -4 c) (/ (pow b 2) a)))>
#<alt (* a (+ (* -4 c) (/ (pow b 2) a)))>
#<alt (* -4 (* a c))>
#<alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))>
#<alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))>
#<alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))>
#<alt (pow b 2)>
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#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (* -4 (* a c))>
#<alt (* c (+ (* -4 a) (/ (pow b 2) c)))>
#<alt (* c (+ (* -4 a) (/ (pow b 2) c)))>
#<alt (* c (+ (* -4 a) (/ (pow b 2) c)))>
#<alt (* -4 (* a c))>
#<alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))>
#<alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))>
#<alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))>
#<alt (* -4 (* a c))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
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#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (/ c b)>
#<alt (/ (+ c (* -1 (/ (pow b 2) a))) b)>
#<alt (/ (+ c (* -1 (/ (pow b 2) a))) b)>
#<alt (/ (+ c (* -1 (/ (pow b 2) a))) b)>
#<alt (* -1 (/ b a))>
#<alt (* b (- (/ c (pow b 2)) (/ 1 a)))>
#<alt (* b (- (/ c (pow b 2)) (/ 1 a)))>
#<alt (* b (- (/ c (pow b 2)) (/ 1 a)))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))>
#<alt (* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))>
#<alt (* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))>
#<alt (* -1 (/ b a))>
#<alt (+ (* -1 (/ b a)) (/ c b))>
#<alt (+ (* -1 (/ b a)) (/ c b))>
#<alt (+ (* -1 (/ b a)) (/ c b))>
#<alt (/ c b)>
#<alt (* c (+ (* -1 (/ b (* a c))) (/ 1 b)))>
#<alt (* c (+ (* -1 (/ b (* a c))) (/ 1 b)))>
#<alt (* c (+ (* -1 (/ b (* a c))) (/ 1 b)))>
#<alt (/ c b)>
#<alt (* -1 (* c (- (/ b (* a c)) (/ 1 b))))>
#<alt (* -1 (* c (- (/ b (* a c)) (/ 1 b))))>
#<alt (* -1 (* c (- (/ b (* a c)) (/ 1 b))))>
#<alt (* -1 (/ b a))>
#<alt (/ (+ (* -1 b) (/ (* a c) b)) a)>
#<alt (/ (+ (* -1 b) (/ (* a c) b)) a)>
#<alt (/ (+ (* -1 b) (/ (* a c) b)) a)>
#<alt (/ c b)>
#<alt (+ (* -1 (/ b a)) (/ c b))>
#<alt (+ (* -1 (/ b a)) (/ c b))>
#<alt (+ (* -1 (/ b a)) (/ c b))>
#<alt (/ c b)>
#<alt (+ (* -1 (/ b a)) (/ c b))>
#<alt (+ (* -1 (/ b a)) (/ c b))>
#<alt (+ (* -1 (/ b a)) (/ c b))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1/2 (/ (- b (* (sqrt (* a c)) (sqrt -4))) a))>
#<alt (* -1/2 (/ (- b (* (sqrt (* a c)) (sqrt -4))) a))>
#<alt (* -1/2 (/ (- b (* (sqrt (* a c)) (sqrt -4))) a))>
#<alt (* -1/2 (/ (- b (* (sqrt (* a c)) (sqrt -4))) a))>
#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))>
#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (* -1/2 (/ b a))>
#<alt (* b (- (* 1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a))))>
#<alt (* b (- (* 1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a))))>
#<alt (* b (- (* 1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a))))>
#<alt (* -1/2 (/ b a))>
#<alt (* -1 (* b (+ (* -1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a)))))>
#<alt (* -1 (* b (+ (* -1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a)))))>
#<alt (* -1 (* b (+ (* -1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a)))))>
#<alt (* -1/2 (/ (- b (* (sqrt (* a c)) (sqrt -4))) a))>
#<alt (* -1/2 (/ (- b (* (sqrt (* a c)) (sqrt -4))) a))>
#<alt (* -1/2 (/ (- b (* (sqrt (* a c)) (sqrt -4))) a))>
#<alt (* -1/2 (/ (- b (* (sqrt (* a c)) (sqrt -4))) a))>
#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))>
#<alt (* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))>
#<alt (* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (/ -1/2 a)>
#<alt (/ -1/2 a)>
#<alt (/ -1/2 a)>
#<alt (/ -1/2 a)>
#<alt (/ -1/2 a)>
#<alt (/ -1/2 a)>
#<alt (/ -1/2 a)>
#<alt (/ -1/2 a)>
#<alt (/ -1/2 a)>
#<alt (/ -1/2 a)>
#<alt (/ -1/2 a)>
#<alt (/ -1/2 a)>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -4)))>
#<alt (- b (* (sqrt (* a c)) (sqrt -4)))>
#<alt (- b (* (sqrt (* a c)) (sqrt -4)))>
#<alt (- b (* (sqrt (* a c)) (sqrt -4)))>
#<alt b>
#<alt (* b (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b)))))>
#<alt (* b (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b)))))>
#<alt (* b (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b)))))>
#<alt b>
#<alt (* -1 (* b (- (* (sqrt (* a c)) (/ (sqrt -4) b)) 1)))>
#<alt (* -1 (* b (- (* (sqrt (* a c)) (/ (sqrt -4) b)) 1)))>
#<alt (* -1 (* b (- (* (sqrt (* a c)) (/ (sqrt -4) b)) 1)))>
#<alt (- b (* (sqrt (* a c)) (sqrt -4)))>
#<alt (- b (* (sqrt (* a c)) (sqrt -4)))>
#<alt (- b (* (sqrt (* a c)) (sqrt -4)))>
#<alt (- b (* (sqrt (* a c)) (sqrt -4)))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -4)))>
#<alt (* c (- (/ b c) (* (sqrt (/ a c)) (sqrt -4))))>
#<alt (* c (- (/ b c) (* (sqrt (/ a c)) (sqrt -4))))>
#<alt (* c (- (/ b c) (* (sqrt (/ a c)) (sqrt -4))))>
#<alt (* 2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* c (- (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -1 (* c (- (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -1 (* c (- (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (- b (* (sqrt (* a c)) (sqrt -4)))>
#<alt (- b (* (sqrt (* a c)) (sqrt -4)))>
#<alt (- b (* (sqrt (* a c)) (sqrt -4)))>
#<alt (- b (* (sqrt (* a c)) (sqrt -4)))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -4)))>
#<alt (* a (- (/ b a) (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (* a (- (/ b a) (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (* a (- (/ b a) (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (* 2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* a (- (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -1 (* a (- (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -1 (* a (- (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (/ c b))>
#<alt (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))>
#<alt (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))>
#<alt (+ (* -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)))))))>
#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))>
#<alt (+ (* -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))))))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
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#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))>
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#<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))))))>
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#<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))))))))>
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#<alt (+ (* (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)))))))))>
#<alt b>
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#<alt (* -4 c)>
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#<alt (/ 1 b)>
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#<alt (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))>
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#<alt (+ (* -1 (/ (+ (* 1/64 (* (sqrt (/ a (pow c 5))) (* (pow b 4) (sqrt -1)))) (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1/256 (/ (* a (pow b 4)) (pow c 3))) (* 1/256 (/ (pow b 6) (pow c 4))))))) (pow a 3))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (/ 1 b)>
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#<alt (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))>
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#<alt (+ (* -1 (/ (+ (* 1/64 (* (sqrt (/ c (pow a 5))) (* (pow b 4) (sqrt -1)))) (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1/256 (/ (* (pow b 4) c) (pow a 3))) (* 1/256 (/ (pow b 6) (pow a 4))))))) (pow c 3))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* (sqrt (/ 1 (* a c))) (sqrt -1/4))>
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#<alt (+ (* (sqrt (/ 1 (* a c))) (sqrt -1/4)) (* (pow b 2) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (sqrt -1/4)))) (* (pow b 2) (+ (* -1/2 (* (sqrt (* a c)) (/ (* (pow b 2) (+ (* 1/32 (/ (+ (* 1/1024 (/ 1 (* (pow a 3) (* (pow c 3) (pow (sqrt -1/4) 2))))) (* 1/64 (/ 1 (* (pow a 3) (pow c 3))))) (* a (* c (pow (sqrt -1/4) 2))))) (* 1/256 (/ 1 (* (pow a 4) (pow c 4)))))) (sqrt -1/4)))) (* -1/2 (* (sqrt (* a c)) (/ (+ (* 1/1024 (/ 1 (* (pow a 3) (* (pow c 3) (pow (sqrt -1/4) 2))))) (* 1/64 (/ 1 (* (pow a 3) (pow c 3))))) (sqrt -1/4)))))))))>
#<alt (/ 1 b)>
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#<alt (* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -64 (* (pow a 3) (pow c 3))) (* -2 (* a (* c (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))))))) (pow b 6))) (+ (* -1/2 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 2 (/ (* a c) (pow b 2)))))) b))>
#<alt (/ 1 (pow b 2))>
#<alt (+ (* 4 (/ (* a c) (pow b 4))) (/ 1 (pow b 2)))>
#<alt (+ (* a (- (* 16 (/ (* a (pow c 2)) (pow b 6))) (* -4 (/ c (pow b 4))))) (/ 1 (pow b 2)))>
#<alt (+ (* a (- (* a (- (* 64 (/ (* a (pow c 3)) (pow b 8))) (* -16 (/ (pow c 2) (pow b 6))))) (* -4 (/ c (pow b 4))))) (/ 1 (pow b 2)))>
#<alt (/ -1/4 (* a c))>
#<alt (/ (- (* -1/16 (/ (pow b 2) (* a (pow c 2)))) (* 1/4 (/ 1 c))) a)>
#<alt (/ (- (* -1/64 (/ (pow b 4) (* (pow a 2) (pow c 3)))) (+ (* 1/16 (/ (pow b 2) (* a (pow c 2)))) (* 1/4 (/ 1 c)))) a)>
#<alt (/ (- (* -1/256 (/ (pow b 6) (* (pow a 3) (pow c 4)))) (+ (* 1/64 (/ (pow b 4) (* (pow a 2) (pow c 3)))) (+ (* 1/16 (/ (pow b 2) (* a (pow c 2)))) (* 1/4 (/ 1 c))))) a)>
#<alt (/ -1/4 (* a c))>
#<alt (* -1 (/ (+ (* 1/16 (/ (pow b 2) (* a (pow c 2)))) (* 1/4 (/ 1 c))) a))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1/64 (/ (pow b 4) (* a (pow c 3)))) (* 1/16 (/ (pow b 2) (pow c 2)))) a)) (* 1/4 (/ 1 c))) a))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/256 (/ (pow b 6) (* a (pow c 4)))) (* -1/64 (/ (pow b 4) (pow c 3)))) a)) (* 1/16 (/ (pow b 2) (pow c 2)))) a)) (* 1/4 (/ 1 c))) a))>
#<alt (/ 1 (pow b 2))>
#<alt (+ (* 4 (/ (* a c) (pow b 4))) (/ 1 (pow b 2)))>
#<alt (+ (* c (- (* 16 (/ (* (pow a 2) c) (pow b 6))) (* -4 (/ a (pow b 4))))) (/ 1 (pow b 2)))>
#<alt (+ (* c (- (* c (- (* 64 (/ (* (pow a 3) c) (pow b 8))) (* -16 (/ (pow a 2) (pow b 6))))) (* -4 (/ a (pow b 4))))) (/ 1 (pow b 2)))>
#<alt (/ -1/4 (* a c))>
#<alt (/ (- (* -1/16 (/ (pow b 2) (* (pow a 2) c))) (* 1/4 (/ 1 a))) c)>
#<alt (/ (- (* -1/64 (/ (pow b 4) (* (pow a 3) (pow c 2)))) (+ (* 1/16 (/ (pow b 2) (* (pow a 2) c))) (* 1/4 (/ 1 a)))) c)>
#<alt (/ (- (* -1/256 (/ (pow b 6) (* (pow a 4) (pow c 3)))) (+ (* 1/64 (/ (pow b 4) (* (pow a 3) (pow c 2)))) (+ (* 1/16 (/ (pow b 2) (* (pow a 2) c))) (* 1/4 (/ 1 a))))) c)>
#<alt (/ -1/4 (* a c))>
#<alt (* -1 (/ (+ (* 1/16 (/ (pow b 2) (* (pow a 2) c))) (* 1/4 (/ 1 a))) c))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1/64 (/ (pow b 4) (* (pow a 3) c))) (* 1/16 (/ (pow b 2) (pow a 2)))) c)) (* 1/4 (/ 1 a))) c))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/256 (/ (pow b 6) (* (pow a 4) c))) (* -1/64 (/ (pow b 4) (pow a 3)))) c)) (* 1/16 (/ (pow b 2) (pow a 2)))) c)) (* 1/4 (/ 1 a))) c))>
#<alt (/ -1/4 (* a c))>
#<alt (- (* -1/16 (/ (pow b 2) (* (pow a 2) (pow c 2)))) (* 1/4 (/ 1 (* a c))))>
#<alt (- (* (pow b 2) (- (* -1/64 (/ (pow b 2) (* (pow a 3) (pow c 3)))) (* 1/16 (/ 1 (* (pow a 2) (pow c 2)))))) (* 1/4 (/ 1 (* a c))))>
#<alt (- (* (pow b 2) (- (* (pow b 2) (- (* -1/256 (/ (pow b 2) (* (pow a 4) (pow c 4)))) (* 1/64 (/ 1 (* (pow a 3) (pow c 3)))))) (* 1/16 (/ 1 (* (pow a 2) (pow c 2)))))) (* 1/4 (/ 1 (* a c))))>
#<alt (/ 1 (pow b 2))>
#<alt (/ (+ 1 (* 4 (/ (* a c) (pow b 2)))) (pow b 2))>
#<alt (/ (- (+ 1 (* 16 (/ (* (pow a 2) (pow c 2)) (pow b 4)))) (* -4 (/ (* a c) (pow b 2)))) (pow b 2))>
#<alt (/ (- (+ 1 (* 64 (/ (* (pow a 3) (pow c 3)) (pow b 6)))) (+ (* -16 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -4 (/ (* a c) (pow b 2))))) (pow b 2))>
#<alt (/ 1 (pow b 2))>
#<alt (/ (+ 1 (* 4 (/ (* a c) (pow b 2)))) (pow b 2))>
#<alt (/ (- (+ 1 (* 16 (/ (* (pow a 2) (pow c 2)) (pow b 4)))) (* -4 (/ (* a c) (pow b 2)))) (pow b 2))>
#<alt (/ (- (+ 1 (* 64 (/ (* (pow a 3) (pow c 3)) (pow b 6)))) (+ (* -16 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -4 (/ (* a c) (pow b 2))))) (pow b 2))>
Calls

153 calls:

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

rewrite126.0ms (1.2%)

Memory
25.1MiB live, 142.2MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
1 188×lower-*.f32
1 174×lower-*.f64
1 100×lower-fma.f32
1 094×lower-fma.f64
920×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033182
061178
1220169
01838162
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
22 → 421
Calls
Call 1
Inputs
(fma.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a) #s(literal 1/2 binary64) (/.f64 b (*.f64 a #s(literal -2 binary64))))
(/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a)
(sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))
(fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))
(/.f64 c (neg.f64 b))
(neg.f64 b)
(fma.f64 b (/.f64 c (*.f64 b b)) (/.f64 b (neg.f64 a)))
(/.f64 c (*.f64 b b))
(*.f64 b b)
(/.f64 b (neg.f64 a))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))))
(/.f64 #s(literal -1/2 binary64) a)
(-.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))))
(sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))))
(-.f64 b (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))
(*.f64 #s(literal -4 binary64) c)
(neg.f64 a)
(*.f64 #s(literal -4 binary64) (*.f64 c a))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))
(/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))
Outputs
(+.f64 (*.f64 b (/.f64 #s(literal -1/2 binary64) a)) (*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)))
(+.f64 (*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)) (*.f64 b (/.f64 #s(literal -1/2 binary64) a)))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (*.f64 a a)) (fma.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a) (neg.f64 (*.f64 b (/.f64 #s(literal -1/2 binary64) a))))) (/.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -2 binary64)) (*.f64 a #s(literal -2 binary64)))) (fma.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a) (neg.f64 (*.f64 b (/.f64 #s(literal -1/2 binary64) a))))))
(fma.f64 b (/.f64 #s(literal -1/2 binary64) a) (*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)))
(fma.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a) #s(literal 1/2 binary64) (*.f64 b (/.f64 #s(literal -1/2 binary64) a)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a) (*.f64 b (/.f64 #s(literal -1/2 binary64) a)))
(fma.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal 2 binary64))) (*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)))
(fma.f64 (/.f64 #s(literal -1/2 binary64) a) b (*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)))
(fma.f64 #s(literal 1 binary64) (*.f64 b (/.f64 #s(literal -1/2 binary64) a)) (*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)))
(fma.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a) (*.f64 b (/.f64 #s(literal -1/2 binary64) a)))
(fma.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (*.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1/2 binary64)) (*.f64 b (/.f64 #s(literal -1/2 binary64) a)))
(fma.f64 #s(literal -1 binary64) (/.f64 b (*.f64 a #s(literal 2 binary64))) (*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)))
(fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (/.f64 #s(literal 1 binary64) a) (*.f64 b (/.f64 #s(literal -1/2 binary64) a)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 b (/.f64 #s(literal -1/2 binary64) a)) (-.f64 (*.f64 b (/.f64 #s(literal -1/2 binary64) a)) (*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a))) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (*.f64 a a))) (fma.f64 (*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (*.f64 a a)) (*.f64 (*.f64 b (/.f64 #s(literal -1/2 binary64) a)) (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -2 binary64)) (*.f64 a #s(literal -2 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a) (neg.f64 (*.f64 b (/.f64 #s(literal -1/2 binary64) a)))) (-.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (*.f64 a a)) (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -2 binary64)) (*.f64 a #s(literal -2 binary64)))))))
(/.f64 (fma.f64 (*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (*.f64 a a)) (*.f64 (*.f64 b (/.f64 #s(literal -1/2 binary64) a)) (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -2 binary64)) (*.f64 a #s(literal -2 binary64)))))) (fma.f64 (*.f64 b (/.f64 #s(literal -1/2 binary64) a)) (-.f64 (*.f64 b (/.f64 #s(literal -1/2 binary64) a)) (*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a))) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (*.f64 a a))))
(/.f64 (fma.f64 (*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (*.f64 a a)) (*.f64 (*.f64 b (/.f64 #s(literal -1/2 binary64) a)) (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -2 binary64)) (*.f64 a #s(literal -2 binary64)))))) (+.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -2 binary64)) (*.f64 a #s(literal -2 binary64)))) (-.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (*.f64 a a)) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) b) (*.f64 a (*.f64 a #s(literal -2 binary64)))))))
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (*.f64 a a)) (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -2 binary64)) (*.f64 a #s(literal -2 binary64))))) (fma.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a) (neg.f64 (*.f64 b (/.f64 #s(literal -1/2 binary64) a)))))
(/.f64 (fma.f64 b a (*.f64 (*.f64 a #s(literal -2 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) (*.f64 (*.f64 a #s(literal -2 binary64)) a))
(/.f64 (fma.f64 (neg.f64 b) a (*.f64 (*.f64 a #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) (*.f64 (*.f64 a #s(literal 2 binary64)) a))
(/.f64 (+.f64 a (*.f64 (/.f64 (*.f64 a #s(literal -2 binary64)) b) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) (*.f64 (/.f64 (*.f64 a #s(literal -2 binary64)) b) a))
(/.f64 (fma.f64 (/.f64 b a) a (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal -2 binary64)) (*.f64 a b)) (*.f64 a (*.f64 a #s(literal -2 binary64))))
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal 2 binary64)) (*.f64 a (neg.f64 b))) (*.f64 a (*.f64 a #s(literal 2 binary64))))
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -2 binary64)) b) (*.f64 a #s(literal 1 binary64))) (*.f64 a (/.f64 (*.f64 a #s(literal -2 binary64)) b)))
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) #s(literal -2 binary64) (*.f64 a (/.f64 b a))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (neg.f64 (fma.f64 (*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (*.f64 a a)) (*.f64 (*.f64 b (/.f64 #s(literal -1/2 binary64) a)) (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -2 binary64)) (*.f64 a #s(literal -2 binary64))))))) (neg.f64 (fma.f64 (*.f64 b (/.f64 #s(literal -1/2 binary64) a)) (-.f64 (*.f64 b (/.f64 #s(literal -1/2 binary64) a)) (*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a))) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (*.f64 a a)))))
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(/.f64 (-.f64 (*.f64 b b) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) (-.f64 b (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))))
(*.f64 (-.f64 (*.f64 b (*.f64 b 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 1 binary64) (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))))
(*.f64 (-.f64 (*.f64 b b) (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))))))
(exp.f64 (*.f64 (log.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) #s(literal -1 binary64)))
(hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c))))
(hypot.f64 (sqrt.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c))) b)
(hypot.f64 (sqrt.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c))) (pow.f64 b #s(literal 1 binary64)))
(hypot.f64 (pow.f64 b #s(literal 1 binary64)) (sqrt.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c))))
(sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))
(neg.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))
(/.f64 (sqrt.f64 (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (*.f64 #s(literal 16 binary64) (*.f64 (*.f64 a c) (*.f64 a c)))))) (sqrt.f64 (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (*.f64 #s(literal 16 binary64) (*.f64 (*.f64 a c) (*.f64 a c))))))
(/.f64 (sqrt.f64 (fma.f64 #s(literal 16 binary64) (*.f64 (*.f64 a c) (*.f64 a c)) (neg.f64 (*.f64 b (*.f64 b (*.f64 b b)))))) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b (neg.f64 b)))))
(pow.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) #s(literal -1/2 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (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))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))
(*.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 (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) #s(literal -1/2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) #s(literal -1/2 binary64)))
(*.f64 #s(literal -4 binary64) c)
(*.f64 c #s(literal -4 binary64))
(+.f64 #s(literal 0 binary64) (neg.f64 a))
(-.f64 #s(literal 0 binary64) a)
(neg.f64 a)
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 a #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 a a (*.f64 #s(literal 0 binary64) a))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (+.f64 #s(literal 0 binary64) a))
(*.f64 a #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) a)
(sqrt.f64 (*.f64 #s(literal 16 binary64) (*.f64 (*.f64 a c) (*.f64 a c))))
(pow.f64 (sqrt.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal 2 binary64))
(pow.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 16 binary64) (*.f64 (*.f64 a c) (*.f64 a c))) #s(literal 1/2 binary64))
(*.f64 a (*.f64 #s(literal -4 binary64) c))
(*.f64 #s(literal -4 binary64) (*.f64 a c))
(*.f64 c (*.f64 a #s(literal -4 binary64)))
(*.f64 (*.f64 #s(literal -4 binary64) c) a)
(*.f64 (*.f64 a c) #s(literal -4 binary64))
(*.f64 (sqrt.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c))) (sqrt.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c))))
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)))))
(*.f64 (*.f64 a #s(literal -4 binary64)) c)
(*.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 (*.f64 a c))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c))) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (*.f64 a c)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) #s(literal 1/2 binary64)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) #s(literal 1 binary64)))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) #s(literal -1 binary64))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))
(pow.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) #s(literal 1 binary64))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) #s(literal 1/4 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))
(/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))
(pow.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (*.f64 #s(literal 16 binary64) (*.f64 (*.f64 a c) (*.f64 a c)))))) (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (*.f64 #s(literal 16 binary64) (*.f64 (*.f64 a c) (*.f64 a c)))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 16 binary64) (*.f64 (*.f64 a c) (*.f64 a c)) (neg.f64 (*.f64 b (*.f64 b (*.f64 b b)))))) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b (neg.f64 b))))

simplify527.0ms (5.2%)

Memory
11.2MiB live, 414.0MiB allocated
Algorithm
1×egg-herbie
Rules
10 064×lower-fma.f64
10 064×lower-fma.f32
8 834×lower-*.f64
8 834×lower-*.f32
5 208×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0106610700
1345110339
090279933
Stop Event
1×iter limit
1×node limit
Counts
612 → 604
Calls
Call 1
Inputs
(/ (+ (* -1/2 b) (* 1/2 b)) a)
(/ (+ (* -1 (/ (* a c) b)) (+ (* -1/2 b) (* 1/2 b))) a)
(/ (+ (* -1/2 b) (+ (* 1/2 b) (* a (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))))) a)
(/ (+ (* -1/2 b) (+ (* 1/2 b) (* a (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))))) a)
(* 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 (/ b a)) (* 1/2 (/ b a)))
(+ (* -1 (/ c b)) (+ (* -1/2 (/ b a)) (* 1/2 (/ b a))))
(+ (* -1/2 (/ b a)) (+ (* 1/2 (/ b a)) (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))))
(+ (* -1/2 (/ b a)) (+ (* 1/2 (/ b a)) (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 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))))))
(/ b a)
(/ (+ b (* -2 (/ (* a c) b))) a)
(/ (+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) a)
(/ (+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) a)
(* (sqrt (/ c a)) (sqrt -4))
(+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -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))))
(+ (* -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 (/ c a)) (sqrt -1)))
(+ (* -2 (* (sqrt (/ c a)) (sqrt -1))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))))
(+ (* -2 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1))))))
(+ (* -2 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (+ (* -1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (* 1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))))))
(/ b a)
(+ (* -2 (/ c b)) (/ b a))
(+ (* c (- (* -2 (/ (* a c) (pow b 3))) (* 2 (/ 1 b)))) (/ b a))
(+ (* c (- (* c (+ (* -4 (/ (* (pow a 2) c) (pow b 5))) (* -2 (/ a (pow b 3))))) (* 2 (/ 1 b)))) (/ b a))
(* (sqrt (/ c a)) (sqrt -4))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ 1 (* a c))) (sqrt -4))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* -2 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))))))
(* (sqrt (/ c a)) (sqrt -4))
(+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))
(+ (* (sqrt (/ c a)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))))
(+ (* (sqrt (/ c a)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))
(/ b a)
(* b (+ (* -2 (/ c (pow b 2))) (/ 1 a)))
(* b (+ (* -2 (/ c (pow b 2))) (+ (* -2 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))
(* b (+ (* -4 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -2 (/ c (pow b 2))) (+ (* -2 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(* -1 (/ b a))
(* -1 (* b (+ (* -2 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -2 (/ c (pow b 2))) (+ (* -2 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -4 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -2 (/ c (pow b 2))) (+ (* -2 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
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))))))))
(* (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))))))))
(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)))))
(* -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)
(/ c b)
(/ (+ c (* -1 (/ (pow b 2) a))) b)
(/ (+ c (* -1 (/ (pow b 2) a))) b)
(/ (+ c (* -1 (/ (pow b 2) a))) b)
(* -1 (/ b a))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (/ b a))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
(/ c b)
(* c (+ (* -1 (/ b (* a c))) (/ 1 b)))
(* c (+ (* -1 (/ b (* a c))) (/ 1 b)))
(* c (+ (* -1 (/ b (* a c))) (/ 1 b)))
(/ c b)
(* -1 (* c (- (/ b (* a c)) (/ 1 b))))
(* -1 (* c (- (/ b (* a c)) (/ 1 b))))
(* -1 (* c (- (/ b (* a c)) (/ 1 b))))
(* -1 (/ b a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ c b)
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
(/ c b)
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1/2 (/ (- b (* (sqrt (* a c)) (sqrt -4))) a))
(* -1/2 (/ (- b (* (sqrt (* a c)) (sqrt -4))) a))
(* -1/2 (/ (- b (* (sqrt (* a c)) (sqrt -4))) a))
(* -1/2 (/ (- b (* (sqrt (* a c)) (sqrt -4))) a))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/2 (/ b a)) (* 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))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(* -1/2 (/ b a))
(* b (- (* 1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a))))
(* b (- (* 1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a))))
(* b (- (* 1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a))))
(* -1/2 (/ b a))
(* -1 (* b (+ (* -1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a)))))
(* -1 (* b (+ (* -1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a)))))
(* -1 (* b (+ (* -1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a)))))
(* -1/2 (/ (- b (* (sqrt (* a c)) (sqrt -4))) a))
(* -1/2 (/ (- b (* (sqrt (* a c)) (sqrt -4))) a))
(* -1/2 (/ (- b (* (sqrt (* a c)) (sqrt -4))) a))
(* -1/2 (/ (- b (* (sqrt (* a c)) (sqrt -4))) a))
(* 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))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (* 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 (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -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)
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(- b (* (sqrt (* a c)) (sqrt -4)))
(- b (* (sqrt (* a c)) (sqrt -4)))
(- b (* (sqrt (* a c)) (sqrt -4)))
b
(* b (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b)))))
(* b (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b)))))
(* b (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b)))))
b
(* -1 (* b (- (* (sqrt (* a c)) (/ (sqrt -4) b)) 1)))
(* -1 (* b (- (* (sqrt (* a c)) (/ (sqrt -4) b)) 1)))
(* -1 (* b (- (* (sqrt (* a c)) (/ (sqrt -4) b)) 1)))
(- b (* (sqrt (* a c)) (sqrt -4)))
(- b (* (sqrt (* a c)) (sqrt -4)))
(- b (* (sqrt (* a c)) (sqrt -4)))
(- b (* (sqrt (* a c)) (sqrt -4)))
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(* c (- (/ b c) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (/ b c) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (/ b c) (* (sqrt (/ a c)) (sqrt -4))))
(* 2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (- (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (- (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (- (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(- b (* (sqrt (* a c)) (sqrt -4)))
(- b (* (sqrt (* a c)) (sqrt -4)))
(- b (* (sqrt (* a c)) (sqrt -4)))
(- b (* (sqrt (* a c)) (sqrt -4)))
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(* a (- (/ b a) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (/ b a) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (/ b a) (* (sqrt (/ c a)) (sqrt -4))))
(* 2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (- (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (- (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (- (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -2 (* (sqrt (* 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 (+ (* -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 (* (sqrt (* a c)) (sqrt -4)))
(- b (* (sqrt (* a c)) (sqrt -4)))
(- (* b (+ 1 (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4)))
(- (* b (+ 1 (* 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)))))))) (* (sqrt (* a c)) (sqrt -4)))
(* 2 (/ (* a c) b))
(/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* 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)
(/ (- (* 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)
(* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 2)))
(* -1 (* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2)))))))
(* -1 (* 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))
(* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b))))
(* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b))))
(* a (- (* a (- (* a (- (* 1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)) (* -4 (/ (pow c 3) (pow b 5))))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b))))
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(* a (- (/ b a) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ b a)) (+ (* 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 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (- (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (- (* -1 (/ (+ b (* -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))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* 2 (/ (* a c) b))
(* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b))))
(* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b))))
(* c (- (* c (- (* c (- (* 1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)) (* -4 (/ (pow a 3) (pow b 5))))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b))))
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(* c (- (/ b c) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ b c)) (+ (* 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 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (- (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (- (* -1 (/ (+ b (* -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))) c)) (* 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))))))))
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))))))))
(* (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))))))))
(* -4 c)
(* -4 c)
(* -4 c)
(* -4 c)
(* -4 c)
(* -4 c)
(* -4 c)
(* -4 c)
(* -4 c)
(* -4 c)
(* -4 c)
(* -4 c)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -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))
(/ 1 b)
(+ (* 2 (/ (* a c) (pow b 3))) (/ 1 b))
(+ (* a (+ (* -1/2 (* a (* b (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6))))))) (* 2 (/ c (pow b 3))))) (/ 1 b))
(+ (* a (+ (* 2 (/ c (pow b 3))) (* a (+ (* -1/2 (* a (* b (+ (* -64 (/ (pow c 3) (pow b 8))) (* -2 (/ (* c (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6))))) (pow b 2))))))) (* -1/2 (* b (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6)))))))))) (/ 1 b))
(* (sqrt (/ 1 (* a c))) (sqrt -1/4))
(+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4)))
(+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4))))
(+ (* -1/2 (* (sqrt (/ c (pow a 7))) (/ (+ (* 1/1024 (/ (* a (pow b 4)) (* (pow c 3) (pow (sqrt -1/4) 2)))) (* 1/256 (/ (pow b 6) (pow c 4)))) (sqrt -1/4)))) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4)))))
(* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))
(+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(+ (* -1 (/ (+ (* 1/64 (* (sqrt (/ a (pow c 5))) (* (pow b 4) (sqrt -1)))) (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1/256 (/ (* a (pow b 4)) (pow c 3))) (* 1/256 (/ (pow b 6) (pow c 4))))))) (pow a 3))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(/ 1 b)
(+ (* 2 (/ (* a c) (pow b 3))) (/ 1 b))
(+ (* c (+ (* -1/2 (* b (* c (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6))))))) (* 2 (/ a (pow b 3))))) (/ 1 b))
(+ (* c (+ (* 2 (/ a (pow b 3))) (* c (+ (* -1/2 (* b (* c (+ (* -64 (/ (pow a 3) (pow b 8))) (* -2 (/ (* a (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6))))) (pow b 2))))))) (* -1/2 (* b (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6)))))))))) (/ 1 b))
(* (sqrt (/ 1 (* a c))) (sqrt -1/4))
(+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4)))
(+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4))))
(+ (* -1/2 (* (sqrt (/ a (pow c 7))) (/ (+ (* 1/1024 (/ (* (pow b 4) c) (* (pow a 3) (pow (sqrt -1/4) 2)))) (* 1/256 (/ (pow b 6) (pow a 4)))) (sqrt -1/4)))) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4)))))
(* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))
(+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(+ (* -1 (/ (+ (* 1/64 (* (sqrt (/ c (pow a 5))) (* (pow b 4) (sqrt -1)))) (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1/256 (/ (* (pow b 4) c) (pow a 3))) (* 1/256 (/ (pow b 6) (pow a 4))))))) (pow c 3))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* (sqrt (/ 1 (* a c))) (sqrt -1/4))
(+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4)))
(+ (* (sqrt (/ 1 (* a c))) (sqrt -1/4)) (* (pow b 2) (+ (* -1/2 (* (sqrt (* a c)) (/ (* (pow b 2) (+ (* 1/1024 (/ 1 (* (pow a 3) (* (pow c 3) (pow (sqrt -1/4) 2))))) (* 1/64 (/ 1 (* (pow a 3) (pow c 3)))))) (sqrt -1/4)))) (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (sqrt -1/4)))))))
(+ (* (sqrt (/ 1 (* a c))) (sqrt -1/4)) (* (pow b 2) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (sqrt -1/4)))) (* (pow b 2) (+ (* -1/2 (* (sqrt (* a c)) (/ (* (pow b 2) (+ (* 1/32 (/ (+ (* 1/1024 (/ 1 (* (pow a 3) (* (pow c 3) (pow (sqrt -1/4) 2))))) (* 1/64 (/ 1 (* (pow a 3) (pow c 3))))) (* a (* c (pow (sqrt -1/4) 2))))) (* 1/256 (/ 1 (* (pow a 4) (pow c 4)))))) (sqrt -1/4)))) (* -1/2 (* (sqrt (* a c)) (/ (+ (* 1/1024 (/ 1 (* (pow a 3) (* (pow c 3) (pow (sqrt -1/4) 2))))) (* 1/64 (/ 1 (* (pow a 3) (pow c 3))))) (sqrt -1/4)))))))))
(/ 1 b)
(/ (+ 1 (* 2 (/ (* a c) (pow b 2)))) b)
(/ (+ 1 (+ (* -1/2 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 2 (/ (* a c) (pow b 2))))) b)
(/ (+ 1 (+ (* -1/2 (/ (+ (* -64 (* (pow a 3) (pow c 3))) (* -2 (* a (* c (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))))))) (pow b 6))) (+ (* -1/2 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 2 (/ (* a c) (pow b 2)))))) b)
(/ -1 b)
(* -1 (/ (+ 1 (* 2 (/ (* a c) (pow b 2)))) b))
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 2 (/ (* a c) (pow b 2))))) b))
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -64 (* (pow a 3) (pow c 3))) (* -2 (* a (* c (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))))))) (pow b 6))) (+ (* -1/2 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 2 (/ (* a c) (pow b 2)))))) b))
(/ 1 (pow b 2))
(+ (* 4 (/ (* a c) (pow b 4))) (/ 1 (pow b 2)))
(+ (* a (- (* 16 (/ (* a (pow c 2)) (pow b 6))) (* -4 (/ c (pow b 4))))) (/ 1 (pow b 2)))
(+ (* a (- (* a (- (* 64 (/ (* a (pow c 3)) (pow b 8))) (* -16 (/ (pow c 2) (pow b 6))))) (* -4 (/ c (pow b 4))))) (/ 1 (pow b 2)))
(/ -1/4 (* a c))
(/ (- (* -1/16 (/ (pow b 2) (* a (pow c 2)))) (* 1/4 (/ 1 c))) a)
(/ (- (* -1/64 (/ (pow b 4) (* (pow a 2) (pow c 3)))) (+ (* 1/16 (/ (pow b 2) (* a (pow c 2)))) (* 1/4 (/ 1 c)))) a)
(/ (- (* -1/256 (/ (pow b 6) (* (pow a 3) (pow c 4)))) (+ (* 1/64 (/ (pow b 4) (* (pow a 2) (pow c 3)))) (+ (* 1/16 (/ (pow b 2) (* a (pow c 2)))) (* 1/4 (/ 1 c))))) a)
(/ -1/4 (* a c))
(* -1 (/ (+ (* 1/16 (/ (pow b 2) (* a (pow c 2)))) (* 1/4 (/ 1 c))) a))
(* -1 (/ (+ (* -1 (/ (- (* -1/64 (/ (pow b 4) (* a (pow c 3)))) (* 1/16 (/ (pow b 2) (pow c 2)))) a)) (* 1/4 (/ 1 c))) a))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/256 (/ (pow b 6) (* a (pow c 4)))) (* -1/64 (/ (pow b 4) (pow c 3)))) a)) (* 1/16 (/ (pow b 2) (pow c 2)))) a)) (* 1/4 (/ 1 c))) a))
(/ 1 (pow b 2))
(+ (* 4 (/ (* a c) (pow b 4))) (/ 1 (pow b 2)))
(+ (* c (- (* 16 (/ (* (pow a 2) c) (pow b 6))) (* -4 (/ a (pow b 4))))) (/ 1 (pow b 2)))
(+ (* c (- (* c (- (* 64 (/ (* (pow a 3) c) (pow b 8))) (* -16 (/ (pow a 2) (pow b 6))))) (* -4 (/ a (pow b 4))))) (/ 1 (pow b 2)))
(/ -1/4 (* a c))
(/ (- (* -1/16 (/ (pow b 2) (* (pow a 2) c))) (* 1/4 (/ 1 a))) c)
(/ (- (* -1/64 (/ (pow b 4) (* (pow a 3) (pow c 2)))) (+ (* 1/16 (/ (pow b 2) (* (pow a 2) c))) (* 1/4 (/ 1 a)))) c)
(/ (- (* -1/256 (/ (pow b 6) (* (pow a 4) (pow c 3)))) (+ (* 1/64 (/ (pow b 4) (* (pow a 3) (pow c 2)))) (+ (* 1/16 (/ (pow b 2) (* (pow a 2) c))) (* 1/4 (/ 1 a))))) c)
(/ -1/4 (* a c))
(* -1 (/ (+ (* 1/16 (/ (pow b 2) (* (pow a 2) c))) (* 1/4 (/ 1 a))) c))
(* -1 (/ (+ (* -1 (/ (- (* -1/64 (/ (pow b 4) (* (pow a 3) c))) (* 1/16 (/ (pow b 2) (pow a 2)))) c)) (* 1/4 (/ 1 a))) c))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/256 (/ (pow b 6) (* (pow a 4) c))) (* -1/64 (/ (pow b 4) (pow a 3)))) c)) (* 1/16 (/ (pow b 2) (pow a 2)))) c)) (* 1/4 (/ 1 a))) c))
(/ -1/4 (* a c))
(- (* -1/16 (/ (pow b 2) (* (pow a 2) (pow c 2)))) (* 1/4 (/ 1 (* a c))))
(- (* (pow b 2) (- (* -1/64 (/ (pow b 2) (* (pow a 3) (pow c 3)))) (* 1/16 (/ 1 (* (pow a 2) (pow c 2)))))) (* 1/4 (/ 1 (* a c))))
(- (* (pow b 2) (- (* (pow b 2) (- (* -1/256 (/ (pow b 2) (* (pow a 4) (pow c 4)))) (* 1/64 (/ 1 (* (pow a 3) (pow c 3)))))) (* 1/16 (/ 1 (* (pow a 2) (pow c 2)))))) (* 1/4 (/ 1 (* a c))))
(/ 1 (pow b 2))
(/ (+ 1 (* 4 (/ (* a c) (pow b 2)))) (pow b 2))
(/ (- (+ 1 (* 16 (/ (* (pow a 2) (pow c 2)) (pow b 4)))) (* -4 (/ (* a c) (pow b 2)))) (pow b 2))
(/ (- (+ 1 (* 64 (/ (* (pow a 3) (pow c 3)) (pow b 6)))) (+ (* -16 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -4 (/ (* a c) (pow b 2))))) (pow b 2))
(/ 1 (pow b 2))
(/ (+ 1 (* 4 (/ (* a c) (pow b 2)))) (pow b 2))
(/ (- (+ 1 (* 16 (/ (* (pow a 2) (pow c 2)) (pow b 4)))) (* -4 (/ (* a c) (pow b 2)))) (pow b 2))
(/ (- (+ 1 (* 64 (/ (* (pow a 3) (pow c 3)) (pow b 6)))) (+ (* -16 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -4 (/ (* a c) (pow b 2))))) (pow b 2))
Outputs
(/ (+ (* -1/2 b) (* 1/2 b)) a)
(/.f64 #s(literal 0 binary64) a)
(/ (+ (* -1 (/ (* a c) b)) (+ (* -1/2 b) (* 1/2 b))) a)
(/.f64 (/.f64 (*.f64 (neg.f64 c) a) b) a)
(/ (+ (* -1/2 b) (+ (* 1/2 b) (* a (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))))) a)
(/.f64 (*.f64 a (neg.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))) (/.f64 c b)))) a)
(/ (+ (* -1/2 b) (+ (* 1/2 b) (* a (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))))) a)
(/.f64 (*.f64 a (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)))) a)
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 c a)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 c a))))
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a)))))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) b) a)))
(+ (* -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))))))
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(fma.f64 (*.f64 b b) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 a c)) (*.f64 b b)) (+.f64 (/.f64 #s(literal 1/1024 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 a (*.f64 c c)) a) c) a) #s(literal -1/4 binary64))) (/.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 (*.f64 a (*.f64 c c)) a) c) a)))) (sqrt.f64 #s(literal -1/4 binary64))) (*.f64 #s(literal -1/32 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 a (*.f64 c c)) a) c) a))) (sqrt.f64 #s(literal -1/4 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -1/4 binary64))))
(+ (* (sqrt (/ 1 (* a c))) (sqrt -1/4)) (* (pow b 2) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (sqrt -1/4)))) (* (pow b 2) (+ (* -1/2 (* (sqrt (* a c)) (/ (* (pow b 2) (+ (* 1/32 (/ (+ (* 1/1024 (/ 1 (* (pow a 3) (* (pow c 3) (pow (sqrt -1/4) 2))))) (* 1/64 (/ 1 (* (pow a 3) (pow c 3))))) (* a (* c (pow (sqrt -1/4) 2))))) (* 1/256 (/ 1 (* (pow a 4) (pow c 4)))))) (sqrt -1/4)))) (* -1/2 (* (sqrt (* a c)) (/ (+ (* 1/1024 (/ 1 (* (pow a 3) (* (pow c 3) (pow (sqrt -1/4) 2))))) (* 1/64 (/ 1 (* (pow a 3) (pow c 3))))) (sqrt -1/4)))))))))
(fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 a c))) (fma.f64 (*.f64 b b) (/.f64 (fma.f64 #s(literal 1/32 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/1024 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 a (*.f64 c c)) a) c) a) #s(literal -1/4 binary64))) (/.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 (*.f64 a (*.f64 c c)) a) c) a))) (*.f64 a (*.f64 c #s(literal -1/4 binary64)))) (/.f64 #s(literal 1/256 binary64) (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))))) (sqrt.f64 #s(literal -1/4 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 1/1024 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 a (*.f64 c c)) a) c) a) #s(literal -1/4 binary64))) (/.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 (*.f64 a (*.f64 c c)) a) c) a))) (sqrt.f64 #s(literal -1/4 binary64))))) (*.f64 #s(literal -1/32 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 a (*.f64 c c)) a) c) a))) (sqrt.f64 #s(literal -1/4 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -1/4 binary64))))
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ (+ 1 (* 2 (/ (* a c) (pow b 2)))) b)
(/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal 1 binary64)) b)
(/ (+ 1 (+ (* -1/2 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 2 (/ (* a c) (pow b 2))))) b)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 c c)) a) #s(literal -12 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal 2 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal 1 binary64))) b)
(/ (+ 1 (+ (* -1/2 (/ (+ (* -64 (* (pow a 3) (pow c 3))) (* -2 (* a (* c (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))))))) (pow b 6))) (+ (* -1/2 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 2 (/ (* a c) (pow b 2)))))) b)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (fma.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) (*.f64 (*.f64 (*.f64 a (*.f64 c c)) a) #s(literal -12 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 a (*.f64 c c)) a) c) a) #s(literal -64 binary64))) (pow.f64 b #s(literal 6 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 c c)) a) #s(literal -12 binary64)) (pow.f64 b #s(literal 4 binary64)))) (fma.f64 #s(literal 2 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal 1 binary64))) b)
(/ -1 b)
(/.f64 #s(literal -1 binary64) b)
(* -1 (/ (+ 1 (* 2 (/ (* a c) (pow b 2)))) b))
(/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal 1 binary64)) (neg.f64 b))
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 2 (/ (* a c) (pow b 2))))) b))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 c c)) a) #s(literal -12 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal 2 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal 1 binary64))) (neg.f64 b))
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -64 (* (pow a 3) (pow c 3))) (* -2 (* a (* c (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))))))) (pow b 6))) (+ (* -1/2 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 2 (/ (* a c) (pow b 2)))))) b))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (fma.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) (*.f64 (*.f64 (*.f64 a (*.f64 c c)) a) #s(literal -12 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 a (*.f64 c c)) a) c) a) #s(literal -64 binary64))) (pow.f64 b #s(literal 6 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 c c)) a) #s(literal -12 binary64)) (pow.f64 b #s(literal 4 binary64)))) (fma.f64 #s(literal 2 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal 1 binary64))) (neg.f64 b))
(/ 1 (pow b 2))
(/.f64 #s(literal 1 binary64) (*.f64 b b))
(+ (* 4 (/ (* a c) (pow b 4))) (/ 1 (pow b 2)))
(fma.f64 #s(literal 4 binary64) (*.f64 a (/.f64 c (pow.f64 b #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 b b)))
(+ (* a (- (* 16 (/ (* a (pow c 2)) (pow b 6))) (* -4 (/ c (pow b 4))))) (/ 1 (pow b 2)))
(fma.f64 a (fma.f64 (*.f64 #s(literal 16 binary64) a) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 4 binary64) (/.f64 c (pow.f64 b #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 b b)))
(+ (* a (- (* a (- (* 64 (/ (* a (pow c 3)) (pow b 8))) (* -16 (/ (pow c 2) (pow b 6))))) (* -4 (/ c (pow b 4))))) (/ 1 (pow b 2)))
(fma.f64 a (fma.f64 a (fma.f64 #s(literal 64 binary64) (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 8 binary64))) (*.f64 #s(literal 16 binary64) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 6 binary64))))) (*.f64 #s(literal 4 binary64) (/.f64 c (pow.f64 b #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 b b)))
(/ -1/4 (* a c))
(/.f64 #s(literal -1/4 binary64) (*.f64 a c))
(/ (- (* -1/16 (/ (pow b 2) (* a (pow c 2)))) (* 1/4 (/ 1 c))) a)
(/.f64 (fma.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 b b) (*.f64 a (*.f64 c c))) (/.f64 #s(literal -1/4 binary64) c)) a)
(/ (- (* -1/64 (/ (pow b 4) (* (pow a 2) (pow c 3)))) (+ (* 1/16 (/ (pow b 2) (* a (pow c 2)))) (* 1/4 (/ 1 c)))) a)
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/64 binary64) (pow.f64 b #s(literal 4 binary64))) (*.f64 (*.f64 (*.f64 a (*.f64 c c)) a) c)) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 b b) (*.f64 a (*.f64 c c))) (/.f64 #s(literal 1/4 binary64) c))) a)
(/ (- (* -1/256 (/ (pow b 6) (* (pow a 3) (pow c 4)))) (+ (* 1/64 (/ (pow b 4) (* (pow a 2) (pow c 3)))) (+ (* 1/16 (/ (pow b 2) (* a (pow c 2)))) (* 1/4 (/ 1 c))))) a)
(/.f64 (-.f64 (fma.f64 #s(literal -1/256 binary64) (/.f64 (pow.f64 b #s(literal 6 binary64)) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)))) (/.f64 (*.f64 #s(literal -1/64 binary64) (pow.f64 b #s(literal 4 binary64))) (*.f64 (*.f64 (*.f64 a (*.f64 c c)) a) c))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 b b) (*.f64 a (*.f64 c c))) (/.f64 #s(literal 1/4 binary64) c))) a)
(/ -1/4 (* a c))
(/.f64 #s(literal -1/4 binary64) (*.f64 a c))
(* -1 (/ (+ (* 1/16 (/ (pow b 2) (* a (pow c 2)))) (* 1/4 (/ 1 c))) a))
(/.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 b b) (*.f64 a (*.f64 c c))) (/.f64 #s(literal 1/4 binary64) c)) (neg.f64 a))
(* -1 (/ (+ (* -1 (/ (- (* -1/64 (/ (pow b 4) (* a (pow c 3)))) (* 1/16 (/ (pow b 2) (pow c 2)))) a)) (* 1/4 (/ 1 c))) a))
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) c) (/.f64 (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 a (*.f64 c (*.f64 c c)))) (*.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 b b) (*.f64 c c)))) a)) (neg.f64 a))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/256 (/ (pow b 6) (* a (pow c 4)))) (* -1/64 (/ (pow b 4) (pow c 3)))) a)) (* 1/16 (/ (pow b 2) (pow c 2)))) a)) (* 1/4 (/ 1 c))) a))
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) c) (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/256 binary64) (/.f64 (pow.f64 b #s(literal 6 binary64)) (*.f64 a (pow.f64 c #s(literal 4 binary64)))) (*.f64 #s(literal 1/64 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 c (*.f64 c c))))) (neg.f64 a)) (*.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 b b) (*.f64 c c)))) a)) (neg.f64 a))
(/ 1 (pow b 2))
(/.f64 #s(literal 1 binary64) (*.f64 b b))
(+ (* 4 (/ (* a c) (pow b 4))) (/ 1 (pow b 2)))
(fma.f64 #s(literal 4 binary64) (*.f64 a (/.f64 c (pow.f64 b #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 b b)))
(+ (* c (- (* 16 (/ (* (pow a 2) c) (pow b 6))) (* -4 (/ a (pow b 4))))) (/ 1 (pow b 2)))
(fma.f64 c (fma.f64 (*.f64 #s(literal 16 binary64) (*.f64 a a)) (/.f64 c (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 4 binary64) (/.f64 a (pow.f64 b #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 b b)))
(+ (* c (- (* c (- (* 64 (/ (* (pow a 3) c) (pow b 8))) (* -16 (/ (pow a 2) (pow b 6))))) (* -4 (/ a (pow b 4))))) (/ 1 (pow b 2)))
(fma.f64 c (fma.f64 c (fma.f64 #s(literal 64 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (pow.f64 b #s(literal 8 binary64))) (*.f64 #s(literal 16 binary64) (/.f64 (*.f64 a a) (pow.f64 b #s(literal 6 binary64))))) (*.f64 #s(literal 4 binary64) (/.f64 a (pow.f64 b #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 b b)))
(/ -1/4 (* a c))
(/.f64 #s(literal -1/4 binary64) (*.f64 a c))
(/ (- (* -1/16 (/ (pow b 2) (* (pow a 2) c))) (* 1/4 (/ 1 a))) c)
(/.f64 (fma.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 b b) (*.f64 c (*.f64 a a))) (/.f64 #s(literal -1/4 binary64) a)) c)
(/ (- (* -1/64 (/ (pow b 4) (* (pow a 3) (pow c 2)))) (+ (* 1/16 (/ (pow b 2) (* (pow a 2) c))) (* 1/4 (/ 1 a)))) c)
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/64 binary64) (pow.f64 b #s(literal 4 binary64))) (*.f64 (*.f64 c c) (*.f64 a (*.f64 a a)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 b b) (*.f64 c (*.f64 a a))) (/.f64 #s(literal 1/4 binary64) a))) c)
(/ (- (* -1/256 (/ (pow b 6) (* (pow a 4) (pow c 3)))) (+ (* 1/64 (/ (pow b 4) (* (pow a 3) (pow c 2)))) (+ (* 1/16 (/ (pow b 2) (* (pow a 2) c))) (* 1/4 (/ 1 a))))) c)
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/256 binary64) (pow.f64 b #s(literal 6 binary64))) (*.f64 (*.f64 c (*.f64 c c)) (pow.f64 a #s(literal 4 binary64)))) (fma.f64 #s(literal 1/64 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 c c) (*.f64 a (*.f64 a a)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 b b) (*.f64 c (*.f64 a a))) (/.f64 #s(literal 1/4 binary64) a)))) c)
(/ -1/4 (* a c))
(/.f64 #s(literal -1/4 binary64) (*.f64 a c))
(* -1 (/ (+ (* 1/16 (/ (pow b 2) (* (pow a 2) c))) (* 1/4 (/ 1 a))) c))
(/.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 b b) (*.f64 c (*.f64 a a))) (/.f64 #s(literal 1/4 binary64) a)) (neg.f64 c))
(* -1 (/ (+ (* -1 (/ (- (* -1/64 (/ (pow b 4) (* (pow a 3) c))) (* 1/16 (/ (pow b 2) (pow a 2)))) c)) (* 1/4 (/ 1 a))) c))
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) a) (/.f64 (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 c (*.f64 a (*.f64 a a)))) (*.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 b b) (*.f64 a a)))) c)) (neg.f64 c))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/256 (/ (pow b 6) (* (pow a 4) c))) (* -1/64 (/ (pow b 4) (pow a 3)))) c)) (* 1/16 (/ (pow b 2) (pow a 2)))) c)) (* 1/4 (/ 1 a))) c))
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) a) (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/256 binary64) (/.f64 (pow.f64 b #s(literal 6 binary64)) (*.f64 c (pow.f64 a #s(literal 4 binary64)))) (*.f64 #s(literal 1/64 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 a (*.f64 a a))))) (neg.f64 c)) (*.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 b b) (*.f64 a a)))) c)) (neg.f64 c))
(/ -1/4 (* a c))
(/.f64 #s(literal -1/4 binary64) (*.f64 a c))
(- (* -1/16 (/ (pow b 2) (* (pow a 2) (pow c 2)))) (* 1/4 (/ 1 (* a c))))
(fma.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 b b) (*.f64 (*.f64 a (*.f64 c c)) a)) (/.f64 #s(literal -1/4 binary64) (*.f64 a c)))
(- (* (pow b 2) (- (* -1/64 (/ (pow b 2) (* (pow a 3) (pow c 3)))) (* 1/16 (/ 1 (* (pow a 2) (pow c 2)))))) (* 1/4 (/ 1 (* a c))))
(fma.f64 (*.f64 b b) (fma.f64 #s(literal -1/64 binary64) (/.f64 (*.f64 b b) (*.f64 (*.f64 (*.f64 (*.f64 a (*.f64 c c)) a) c) a)) (/.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 a (*.f64 c c)) a))) (/.f64 #s(literal -1/4 binary64) (*.f64 a c)))
(- (* (pow b 2) (- (* (pow b 2) (- (* -1/256 (/ (pow b 2) (* (pow a 4) (pow c 4)))) (* 1/64 (/ 1 (* (pow a 3) (pow c 3)))))) (* 1/16 (/ 1 (* (pow a 2) (pow c 2)))))) (* 1/4 (/ 1 (* a c))))
(fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 #s(literal -1/256 binary64) (/.f64 (*.f64 b b) (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64)))) (/.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 (*.f64 (*.f64 a (*.f64 c c)) a) c) a))) (/.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 a (*.f64 c c)) a))) (/.f64 #s(literal -1/4 binary64) (*.f64 a c)))
(/ 1 (pow b 2))
(/.f64 #s(literal 1 binary64) (*.f64 b b))
(/ (+ 1 (* 4 (/ (* a c) (pow b 2)))) (pow b 2))
(/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal 1 binary64)) (*.f64 b b))
(/ (- (+ 1 (* 16 (/ (* (pow a 2) (pow c 2)) (pow b 4)))) (* -4 (/ (* a c) (pow b 2)))) (pow b 2))
(/.f64 (fma.f64 #s(literal 16 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 c c)) a) (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal 4 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal 1 binary64))) (*.f64 b b))
(/ (- (+ 1 (* 64 (/ (* (pow a 3) (pow c 3)) (pow b 6)))) (+ (* -16 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -4 (/ (* a c) (pow b 2))))) (pow b 2))
(/.f64 (-.f64 (fma.f64 (*.f64 #s(literal 64 binary64) (*.f64 a (*.f64 a a))) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 6 binary64))) #s(literal 1 binary64)) (fma.f64 #s(literal -4 binary64) (*.f64 a (/.f64 c (*.f64 b b))) (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 c c)) a) #s(literal -16 binary64)) (pow.f64 b #s(literal 4 binary64))))) (*.f64 b b))
(/ 1 (pow b 2))
(/.f64 #s(literal 1 binary64) (*.f64 b b))
(/ (+ 1 (* 4 (/ (* a c) (pow b 2)))) (pow b 2))
(/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal 1 binary64)) (*.f64 b b))
(/ (- (+ 1 (* 16 (/ (* (pow a 2) (pow c 2)) (pow b 4)))) (* -4 (/ (* a c) (pow b 2)))) (pow b 2))
(/.f64 (fma.f64 #s(literal 16 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 c c)) a) (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal 4 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal 1 binary64))) (*.f64 b b))
(/ (- (+ 1 (* 64 (/ (* (pow a 3) (pow c 3)) (pow b 6)))) (+ (* -16 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -4 (/ (* a c) (pow b 2))))) (pow b 2))
(/.f64 (-.f64 (fma.f64 (*.f64 #s(literal 64 binary64) (*.f64 a (*.f64 a a))) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 6 binary64))) #s(literal 1 binary64)) (fma.f64 #s(literal -4 binary64) (*.f64 a (/.f64 c (*.f64 b b))) (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 c c)) a) #s(literal -16 binary64)) (pow.f64 b #s(literal 4 binary64))))) (*.f64 b b))

eval251.0ms (2.5%)

Memory
-18.8MiB live, 212.3MiB allocated
Compiler

Compiled 27 049 to 2 696 computations (90% saved)

prune177.0ms (1.8%)

Memory
18.4MiB live, 180.1MiB allocated
Pruning

30 alts after pruning (25 fresh and 5 done)

PrunedKeptTotal
New1 157161 173
Fresh14923
Picked325
Done033
Total1 174301 204
Accuracy
99.8%
Counts
1 204 → 30
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓50.9%
(fma.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a) #s(literal 1/2 binary64) (/.f64 b (*.f64 a #s(literal -2 binary64))))
35.0%
(fma.f64 (/.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) a) #s(literal 1/2 binary64) (/.f64 b (*.f64 a #s(literal -2 binary64))))
30.5%
(fma.f64 (/.f64 (neg.f64 b) a) #s(literal 1/2 binary64) (/.f64 b (*.f64 a #s(literal -2 binary64))))
10.3%
(/.f64 (fma.f64 (*.f64 c b) a (*.f64 (*.f64 b b) (neg.f64 b))) (*.f64 (*.f64 b b) a))
25.7%
(/.f64 (/.f64 (*.f64 (neg.f64 c) a) b) a)
▶28.7%
(/.f64 (-.f64 (/.f64 (*.f64 a c) b) b) a)
35.0%
(/.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (*.f64 a #s(literal -2 binary64)))
▶49.9%
(/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) (*.f64 #s(literal 2 binary64) a))
33.8%
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)))))
✓28.3%
(/.f64 (*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b)) (*.f64 #s(literal 2 binary64) a))
28.2%
(/.f64 (*.f64 c (/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 a #s(literal -2 binary64))))) (*.f64 #s(literal 2 binary64) a))
27.1%
(/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) (*.f64 b (*.f64 a #s(literal 2 binary64))))
47.7%
(/.f64 (*.f64 #s(literal 4 binary64) (*.f64 c a)) (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal -2 binary64))))
✓35.2%
(/.f64 c (neg.f64 b))
10.2%
(/.f64 c b)
▶17.4%
(/.f64 b (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) a))))
✓30.5%
(/.f64 b (neg.f64 a))
30.5%
(-.f64 (/.f64 c b) (/.f64 b a))
30.2%
(*.f64 (/.f64 (*.f64 a #s(literal -2 binary64)) (*.f64 a b)) (*.f64 c #s(literal 1/2 binary64)))
27.4%
(*.f64 (/.f64 c a) (*.f64 (*.f64 a (/.f64 #s(literal -2 binary64) b)) #s(literal 1/2 binary64)))
28.2%
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 c (*.f64 a (/.f64 #s(literal -2 binary64) b))))
30.4%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) b))))
33.4%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 a c))))))
21.8%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (*.f64 (sqrt.f64 (*.f64 a #s(literal -4 binary64))) (sqrt.f64 c))))
▶22.2%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (*.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) c)) (sqrt.f64 a))))
✓51.0%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))
35.0%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c))))
35.1%
(*.f64 (/.f64 #s(literal -1 binary64) b) c)
30.4%
(*.f64 (/.f64 #s(literal -1 binary64) a) b)
▶10.5%
#s(literal 0 binary64)
Compiler

Compiled 795 to 550 computations (30.8% saved)

simplify226.0ms (2.2%)

Memory
-10.5MiB live, 278.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) c)) (sqrt.f64 a))
✓cost-diff0
(-.f64 b (*.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) c)) (sqrt.f64 a)))
✓cost-diff0
(/.f64 #s(literal -1/2 binary64) a)
✓cost-diff0
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (*.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) c)) (sqrt.f64 a))))
✓cost-diff0
(/.f64 b (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) a))))
✓cost-diff64
(-.f64 #s(literal 0 binary64) (*.f64 a a))
✓cost-diff192
(+.f64 #s(literal 0 binary64) a)
✓cost-diff1344
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) a)))
✓cost-diff0
(*.f64 a c)
✓cost-diff0
(/.f64 (*.f64 a c) b)
✓cost-diff0
(-.f64 (/.f64 (*.f64 a c) b) b)
✓cost-diff320
(/.f64 (-.f64 (/.f64 (*.f64 a c) b) b) a)
✓cost-diff0
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))
✓cost-diff0
(neg.f64 b)
✓cost-diff128
(+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))))
✓cost-diff128
(/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) (*.f64 #s(literal 2 binary64) a))
Rules
7 318×lower-fma.f32
7 316×lower-fma.f64
3 912×lower-*.f32
3 896×lower-*.f64
1 658×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034213
061202
1105196
2214196
3517188
41093186
52944186
65596186
77983186
08070185
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) (*.f64 #s(literal 2 binary64) a))
(+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))))
(neg.f64 b)
b
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))
#s(literal 1 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))
(/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))
(fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))
a
(*.f64 #s(literal -4 binary64) c)
#s(literal -4 binary64)
c
(*.f64 b b)
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
#s(literal 0 binary64)
(/.f64 (-.f64 (/.f64 (*.f64 a c) b) b) a)
(-.f64 (/.f64 (*.f64 a c) b) b)
(/.f64 (*.f64 a c) b)
(*.f64 a c)
a
c
b
(/.f64 b (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) a))))
b
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) a)))
(-.f64 #s(literal 0 binary64) (*.f64 a a))
#s(literal 0 binary64)
(*.f64 a a)
a
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) a))
#s(literal 1 binary64)
(+.f64 #s(literal 0 binary64) a)
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (*.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) c)) (sqrt.f64 a))))
(/.f64 #s(literal -1/2 binary64) a)
#s(literal -1/2 binary64)
a
(-.f64 b (*.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) c)) (sqrt.f64 a)))
b
(*.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) c)) (sqrt.f64 a))
(sqrt.f64 (*.f64 #s(literal -4 binary64) c))
(*.f64 #s(literal -4 binary64) c)
#s(literal -4 binary64)
c
(sqrt.f64 a)
Outputs
(/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (fma.f64 b #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) a)
(+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) b)
(neg.f64 b)
b
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))
#s(literal 1 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))
(/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))
(fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))
a
(*.f64 #s(literal -4 binary64) c)
#s(literal -4 binary64)
c
(*.f64 b b)
(*.f64 #s(literal 2 binary64) a)
(*.f64 a #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 0 binary64)
(/.f64 (-.f64 (/.f64 (*.f64 a c) b) b) a)
(-.f64 (/.f64 c b) (/.f64 b a))
(-.f64 (/.f64 (*.f64 a c) b) b)
(/.f64 (*.f64 a c) b)
(*.f64 a c)
a
c
b
(/.f64 b (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) a))))
(/.f64 b (neg.f64 a))
b
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) a)))
(neg.f64 a)
(-.f64 #s(literal 0 binary64) (*.f64 a a))
(neg.f64 (*.f64 a a))
#s(literal 0 binary64)
(*.f64 a a)
a
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) a))
(/.f64 #s(literal 1 binary64) a)
#s(literal 1 binary64)
(+.f64 #s(literal 0 binary64) a)
a
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (*.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) c)) (sqrt.f64 a))))
(*.f64 (fma.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) c)) (sqrt.f64 a) (neg.f64 b)) (/.f64 #s(literal 1/2 binary64) a))
(/.f64 #s(literal -1/2 binary64) a)
#s(literal -1/2 binary64)
a
(-.f64 b (*.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) c)) (sqrt.f64 a)))
(fma.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) c)) (neg.f64 (sqrt.f64 a)) b)
b
(*.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) c)) (sqrt.f64 a))
(sqrt.f64 (*.f64 #s(literal -4 binary64) c))
(*.f64 #s(literal -4 binary64) c)
#s(literal -4 binary64)
c
(sqrt.f64 a)

localize98.0ms (1%)

Memory
-14.7MiB live, 142.0MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(sqrt.f64 a)
✓accuracy100.0%
(-.f64 b (*.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) c)) (sqrt.f64 a)))
✓accuracy99.9%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (*.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) c)) (sqrt.f64 a))))
✓accuracy99.8%
(*.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) c)) (sqrt.f64 a))
✓accuracy100.0%
(-.f64 #s(literal 0 binary64) (*.f64 a a))
✓accuracy100.0%
(+.f64 #s(literal 0 binary64) a)
✓accuracy100.0%
(*.f64 a a)
✓accuracy82.4%
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) a)))
✓accuracy100.0%
(-.f64 (/.f64 (*.f64 a c) b) b)
✓accuracy100.0%
(*.f64 a c)
✓accuracy96.7%
(/.f64 (-.f64 (/.f64 (*.f64 a c) b) b) a)
✓accuracy96.3%
(/.f64 (*.f64 a c) b)
✓accuracy99.8%
(/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))
✓accuracy98.8%
(/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) (*.f64 #s(literal 2 binary64) a))
✓accuracy95.3%
(+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))))
✓accuracy86.9%
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))
Samples
38.0ms172×0invalid
16.0ms65×0valid
5.0ms13×1valid
3.0ms6×2valid
Compiler

Compiled 221 to 37 computations (83.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 42.0ms
ival-div: 15.0ms (35.7% of total)
ival-mult: 13.0ms (31% of total)
ival-sqrt: 5.0ms (11.9% of total)
ival-add: 4.0ms (9.5% of total)
ival-sub: 3.0ms (7.1% of total)
adjust: 1.0ms (2.4% of total)
exact: 1.0ms (2.4% of total)
ival-neg: 1.0ms (2.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series42.0ms (0.4%)

Memory
28.8MiB live, 67.4MiB allocated
Counts
20 → 516
Calls
Call 1
Inputs
#<alt (/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) (*.f64 #s(literal 2 binary64) a))>
#<alt (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))))>
#<alt (neg.f64 b)>
#<alt (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))>
#<alt (/.f64 (-.f64 (/.f64 (*.f64 a c) b) b) a)>
#<alt (-.f64 (/.f64 (*.f64 a c) b) b)>
#<alt (/.f64 (*.f64 a c) b)>
#<alt (*.f64 a c)>
#<alt (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) a)))>
#<alt (+.f64 #s(literal 0 binary64) a)>
#<alt (-.f64 #s(literal 0 binary64) (*.f64 a a))>
#<alt (/.f64 b (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) a))))>
#<alt (*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (*.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) c)) (sqrt.f64 a))))>
#<alt (/.f64 #s(literal -1/2 binary64) a)>
#<alt (-.f64 b (*.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) c)) (sqrt.f64 a)))>
#<alt (*.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) c)) (sqrt.f64 a))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))>
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))>
#<alt (*.f64 a a)>
#<alt (sqrt.f64 a)>
Outputs
#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))>
#<alt (+ (* 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)))))>
#<alt (* -1 (/ c b))>
#<alt (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)>
#<alt (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)>
#<alt (/ (+ (* -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)>
#<alt (* -1 (/ b a))>
#<alt (* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))>
#<alt (* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))>
#<alt (* -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))))))>
#<alt (* -1 (/ c b))>
#<alt (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))>
#<alt (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))>
#<alt (+ (* -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)))))))>
#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))>
#<alt (+ (* -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))))))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))>
#<alt (+ (* -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)))>
#<alt (* -1 (/ c b))>
#<alt (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))>
#<alt (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))>
#<alt (* 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)))>
#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))>
#<alt (* 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))))))>
#<alt (* 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)))))))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* -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)))))>
#<alt (* -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)))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))>
#<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)))>
#<alt (* -2 (/ (* a c) b))>
#<alt (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)>
#<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)>
#<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)>
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#<alt (* a (- (/ b a) (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (* a (- (/ b a) (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (* (sqrt (* a c)) (* (sqrt -4) (pow (sqrt -1) 2)))>
#<alt (* -1 (* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (* (sqrt -4) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (* (sqrt -4) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (* (sqrt -4) (pow (sqrt -1) 2))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* -1 (* (sqrt (* a c)) (* (sqrt -4) (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt (* a c)) (* (sqrt -4) (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt (* a c)) (* (sqrt -4) (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt (* a c)) (* (sqrt -4) (pow (sqrt -1) 2))))>
#<alt (/ 1 b)>
#<alt (+ (* 2 (/ (* a c) (pow b 3))) (/ 1 b))>
#<alt (+ (* a (+ (* -1/2 (* a (* b (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6))))))) (* 2 (/ c (pow b 3))))) (/ 1 b))>
#<alt (+ (* a (+ (* 2 (/ c (pow b 3))) (* a (+ (* -1/2 (* a (* b (+ (* -64 (/ (pow c 3) (pow b 8))) (* -2 (/ (* c (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6))))) (pow b 2))))))) (* -1/2 (* b (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6)))))))))) (/ 1 b))>
#<alt (* (sqrt (/ 1 (* a c))) (sqrt -1/4))>
#<alt (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4)))>
#<alt (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4))))>
#<alt (+ (* -1/2 (* (sqrt (/ c (pow a 7))) (/ (+ (* 1/1024 (/ (* a (pow b 4)) (* (pow c 3) (pow (sqrt -1/4) 2)))) (* 1/256 (/ (pow b 6) (pow c 4)))) (sqrt -1/4)))) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4)))))>
#<alt (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))>
#<alt (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))>
#<alt (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (+ (* -1 (/ (+ (* 1/64 (* (sqrt (/ a (pow c 5))) (* (pow b 4) (sqrt -1)))) (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1/256 (/ (* a (pow b 4)) (pow c 3))) (* 1/256 (/ (pow b 6) (pow c 4))))))) (pow a 3))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (/ 1 b)>
#<alt (+ (* 2 (/ (* a c) (pow b 3))) (/ 1 b))>
#<alt (+ (* c (+ (* -1/2 (* b (* c (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6))))))) (* 2 (/ a (pow b 3))))) (/ 1 b))>
#<alt (+ (* c (+ (* 2 (/ a (pow b 3))) (* c (+ (* -1/2 (* b (* c (+ (* -64 (/ (pow a 3) (pow b 8))) (* -2 (/ (* a (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6))))) (pow b 2))))))) (* -1/2 (* b (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6)))))))))) (/ 1 b))>
#<alt (* (sqrt (/ 1 (* a c))) (sqrt -1/4))>
#<alt (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4)))>
#<alt (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4))))>
#<alt (+ (* -1/2 (* (sqrt (/ a (pow c 7))) (/ (+ (* 1/1024 (/ (* (pow b 4) c) (* (pow a 3) (pow (sqrt -1/4) 2)))) (* 1/256 (/ (pow b 6) (pow a 4)))) (sqrt -1/4)))) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4)))))>
#<alt (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))>
#<alt (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))>
#<alt (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (+ (* -1 (/ (+ (* 1/64 (* (sqrt (/ c (pow a 5))) (* (pow b 4) (sqrt -1)))) (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1/256 (/ (* (pow b 4) c) (pow a 3))) (* 1/256 (/ (pow b 6) (pow a 4))))))) (pow c 3))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* (sqrt (/ 1 (* a c))) (sqrt -1/4))>
#<alt (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4)))>
#<alt (+ (* (sqrt (/ 1 (* a c))) (sqrt -1/4)) (* (pow b 2) (+ (* -1/2 (* (sqrt (* a c)) (/ (* (pow b 2) (+ (* 1/1024 (/ 1 (* (pow a 3) (* (pow c 3) (pow (sqrt -1/4) 2))))) (* 1/64 (/ 1 (* (pow a 3) (pow c 3)))))) (sqrt -1/4)))) (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (sqrt -1/4)))))))>
#<alt (+ (* (sqrt (/ 1 (* a c))) (sqrt -1/4)) (* (pow b 2) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (sqrt -1/4)))) (* (pow b 2) (+ (* -1/2 (* (sqrt (* a c)) (/ (* (pow b 2) (+ (* 1/32 (/ (+ (* 1/1024 (/ 1 (* (pow a 3) (* (pow c 3) (pow (sqrt -1/4) 2))))) (* 1/64 (/ 1 (* (pow a 3) (pow c 3))))) (* a (* c (pow (sqrt -1/4) 2))))) (* 1/256 (/ 1 (* (pow a 4) (pow c 4)))))) (sqrt -1/4)))) (* -1/2 (* (sqrt (* a c)) (/ (+ (* 1/1024 (/ 1 (* (pow a 3) (* (pow c 3) (pow (sqrt -1/4) 2))))) (* 1/64 (/ 1 (* (pow a 3) (pow c 3))))) (sqrt -1/4)))))))))>
#<alt (/ 1 b)>
#<alt (/ (+ 1 (* 2 (/ (* a c) (pow b 2)))) b)>
#<alt (/ (+ 1 (+ (* -1/2 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 2 (/ (* a c) (pow b 2))))) b)>
#<alt (/ (+ 1 (+ (* -1/2 (/ (+ (* -64 (* (pow a 3) (pow c 3))) (* -2 (* a (* c (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))))))) (pow b 6))) (+ (* -1/2 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 2 (/ (* a c) (pow b 2)))))) b)>
#<alt (/ -1 b)>
#<alt (* -1 (/ (+ 1 (* 2 (/ (* a c) (pow b 2)))) b))>
#<alt (* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 2 (/ (* a c) (pow b 2))))) b))>
#<alt (* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -64 (* (pow a 3) (pow c 3))) (* -2 (* a (* c (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))))))) (pow b 6))) (+ (* -1/2 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 2 (/ (* a c) (pow b 2)))))) b))>
#<alt (/ 1 (pow b 2))>
#<alt (+ (* 4 (/ (* a c) (pow b 4))) (/ 1 (pow b 2)))>
#<alt (+ (* a (- (* 16 (/ (* a (pow c 2)) (pow b 6))) (* -4 (/ c (pow b 4))))) (/ 1 (pow b 2)))>
#<alt (+ (* a (- (* a (- (* 64 (/ (* a (pow c 3)) (pow b 8))) (* -16 (/ (pow c 2) (pow b 6))))) (* -4 (/ c (pow b 4))))) (/ 1 (pow b 2)))>
#<alt (/ -1/4 (* a c))>
#<alt (/ (- (* -1/16 (/ (pow b 2) (* a (pow c 2)))) (* 1/4 (/ 1 c))) a)>
#<alt (/ (- (* -1/64 (/ (pow b 4) (* (pow a 2) (pow c 3)))) (+ (* 1/16 (/ (pow b 2) (* a (pow c 2)))) (* 1/4 (/ 1 c)))) a)>
#<alt (/ (- (* -1/256 (/ (pow b 6) (* (pow a 3) (pow c 4)))) (+ (* 1/64 (/ (pow b 4) (* (pow a 2) (pow c 3)))) (+ (* 1/16 (/ (pow b 2) (* a (pow c 2)))) (* 1/4 (/ 1 c))))) a)>
#<alt (/ -1/4 (* a c))>
#<alt (* -1 (/ (+ (* 1/16 (/ (pow b 2) (* a (pow c 2)))) (* 1/4 (/ 1 c))) a))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1/64 (/ (pow b 4) (* a (pow c 3)))) (* 1/16 (/ (pow b 2) (pow c 2)))) a)) (* 1/4 (/ 1 c))) a))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/256 (/ (pow b 6) (* a (pow c 4)))) (* -1/64 (/ (pow b 4) (pow c 3)))) a)) (* 1/16 (/ (pow b 2) (pow c 2)))) a)) (* 1/4 (/ 1 c))) a))>
#<alt (/ 1 (pow b 2))>
#<alt (+ (* 4 (/ (* a c) (pow b 4))) (/ 1 (pow b 2)))>
#<alt (+ (* c (- (* 16 (/ (* (pow a 2) c) (pow b 6))) (* -4 (/ a (pow b 4))))) (/ 1 (pow b 2)))>
#<alt (+ (* c (- (* c (- (* 64 (/ (* (pow a 3) c) (pow b 8))) (* -16 (/ (pow a 2) (pow b 6))))) (* -4 (/ a (pow b 4))))) (/ 1 (pow b 2)))>
#<alt (/ -1/4 (* a c))>
#<alt (/ (- (* -1/16 (/ (pow b 2) (* (pow a 2) c))) (* 1/4 (/ 1 a))) c)>
#<alt (/ (- (* -1/64 (/ (pow b 4) (* (pow a 3) (pow c 2)))) (+ (* 1/16 (/ (pow b 2) (* (pow a 2) c))) (* 1/4 (/ 1 a)))) c)>
#<alt (/ (- (* -1/256 (/ (pow b 6) (* (pow a 4) (pow c 3)))) (+ (* 1/64 (/ (pow b 4) (* (pow a 3) (pow c 2)))) (+ (* 1/16 (/ (pow b 2) (* (pow a 2) c))) (* 1/4 (/ 1 a))))) c)>
#<alt (/ -1/4 (* a c))>
#<alt (* -1 (/ (+ (* 1/16 (/ (pow b 2) (* (pow a 2) c))) (* 1/4 (/ 1 a))) c))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1/64 (/ (pow b 4) (* (pow a 3) c))) (* 1/16 (/ (pow b 2) (pow a 2)))) c)) (* 1/4 (/ 1 a))) c))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/256 (/ (pow b 6) (* (pow a 4) c))) (* -1/64 (/ (pow b 4) (pow a 3)))) c)) (* 1/16 (/ (pow b 2) (pow a 2)))) c)) (* 1/4 (/ 1 a))) c))>
#<alt (/ -1/4 (* a c))>
#<alt (- (* -1/16 (/ (pow b 2) (* (pow a 2) (pow c 2)))) (* 1/4 (/ 1 (* a c))))>
#<alt (- (* (pow b 2) (- (* -1/64 (/ (pow b 2) (* (pow a 3) (pow c 3)))) (* 1/16 (/ 1 (* (pow a 2) (pow c 2)))))) (* 1/4 (/ 1 (* a c))))>
#<alt (- (* (pow b 2) (- (* (pow b 2) (- (* -1/256 (/ (pow b 2) (* (pow a 4) (pow c 4)))) (* 1/64 (/ 1 (* (pow a 3) (pow c 3)))))) (* 1/16 (/ 1 (* (pow a 2) (pow c 2)))))) (* 1/4 (/ 1 (* a c))))>
#<alt (/ 1 (pow b 2))>
#<alt (/ (+ 1 (* 4 (/ (* a c) (pow b 2)))) (pow b 2))>
#<alt (/ (- (+ 1 (* 16 (/ (* (pow a 2) (pow c 2)) (pow b 4)))) (* -4 (/ (* a c) (pow b 2)))) (pow b 2))>
#<alt (/ (- (+ 1 (* 64 (/ (* (pow a 3) (pow c 3)) (pow b 6)))) (+ (* -16 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -4 (/ (* a c) (pow b 2))))) (pow b 2))>
#<alt (/ 1 (pow b 2))>
#<alt (/ (+ 1 (* 4 (/ (* a c) (pow b 2)))) (pow b 2))>
#<alt (/ (- (+ 1 (* 16 (/ (* (pow a 2) (pow c 2)) (pow b 4)))) (* -4 (/ (* a c) (pow b 2)))) (pow b 2))>
#<alt (/ (- (+ 1 (* 64 (/ (* (pow a 3) (pow c 3)) (pow b 6)))) (+ (* -16 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -4 (/ (* a c) (pow b 2))))) (pow b 2))>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (sqrt a)>
#<alt (sqrt a)>
#<alt (sqrt a)>
#<alt (sqrt a)>
#<alt (sqrt a)>
#<alt (sqrt a)>
#<alt (sqrt a)>
#<alt (sqrt a)>
#<alt (* -1 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt a) (pow (sqrt -1) 2)))>
Calls

129 calls:

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

rewrite323.0ms (3.2%)

Memory
5.0MiB live, 558.1MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 796×lower-fma.f32
5 794×lower-fma.f64
4 098×lower-/.f32
4 084×lower-*.f32
4 082×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034165
061149
1240126
21979126
08617123
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
20 → 1 102
Calls
Call 1
Inputs
(/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) (*.f64 #s(literal 2 binary64) a))
(+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))))
(neg.f64 b)
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))
(/.f64 (-.f64 (/.f64 (*.f64 a c) b) b) a)
(-.f64 (/.f64 (*.f64 a c) b) b)
(/.f64 (*.f64 a c) b)
(*.f64 a c)
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) a)))
(+.f64 #s(literal 0 binary64) a)
(-.f64 #s(literal 0 binary64) (*.f64 a a))
(/.f64 b (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) a))))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (*.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) c)) (sqrt.f64 a))))
(/.f64 #s(literal -1/2 binary64) a)
(-.f64 b (*.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) c)) (sqrt.f64 a)))
(*.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) c)) (sqrt.f64 a))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))
(/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))
(*.f64 a a)
(sqrt.f64 a)
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) b))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 a #s(literal -2 binary64))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) b) (*.f64 a #s(literal -2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 a #s(literal 2 binary64))) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) (*.f64 a #s(literal 2 binary64))))
(-.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 a #s(literal 2 binary64))) (/.f64 b (*.f64 a #s(literal 2 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 b b) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))))) (*.f64 a #s(literal 2 binary64))) (/.f64 (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))))) (*.f64 a #s(literal 2 binary64))))
(-.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal 0 binary64)) (*.f64 a #s(literal 2 binary64))) (/.f64 b (*.f64 a #s(literal 2 binary64))))
(-.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))))) (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) (*.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))))))
(neg.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) b) (*.f64 a #s(literal -2 binary64))))
(neg.f64 (/.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) b)) (*.f64 a #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) b)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) b)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) b) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) b)))))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) b) (*.f64 a #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) b))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) b)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 a (*.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) b) #s(literal 1/2 binary64)))))
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(*.f64 (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))))) (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 c (*.f64 c c)) #s(literal -64 binary64)))))) (sqrt.f64 (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (*.f64 #s(literal 16 binary64) (*.f64 (*.f64 a c) (*.f64 a c))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 16 binary64) (*.f64 (*.f64 a c) (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b)))))) (sqrt.f64 (-.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (*.f64 b b))))
(exp.f64 (neg.f64 (log.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))))
(sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))))
(neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))))))
(pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal -2 binary64))
(pow.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) #s(literal -1 binary64))
(pow.f64 (*.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal -1/2 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 c (*.f64 c c)) #s(literal -64 binary64))))) (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (*.f64 #s(literal 16 binary64) (*.f64 (*.f64 a c) (*.f64 a c)))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 c (*.f64 c c)) #s(literal -64 binary64))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (*.f64 #s(literal 16 binary64) (*.f64 (*.f64 a c) (*.f64 a c))))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 16 binary64) (*.f64 (*.f64 a c) (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (-.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (*.f64 b b)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 16 binary64) (*.f64 (*.f64 a c) (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (*.f64 b b))) #s(literal -1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 a a))
(+.f64 (*.f64 a a) #s(literal 0 binary64))
(exp.f64 (log.f64 (*.f64 a a)))
(-.f64 (*.f64 a a) #s(literal 0 binary64))
(-.f64 (*.f64 a a) (/.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a (*.f64 a a)))))
(-.f64 (*.f64 a a) (/.f64 #s(literal 0 binary64) (*.f64 a a)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 a a)) (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 a (neg.f64 a))))
(fma.f64 #s(literal 1 binary64) (*.f64 a a) #s(literal 0 binary64))
(fma.f64 a a #s(literal 0 binary64))
(fma.f64 (*.f64 a a) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (neg.f64 a) (neg.f64 a) #s(literal 0 binary64))
(fma.f64 (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 a (*.f64 a (*.f64 a a))) (pow.f64 (neg.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 a (*.f64 a (*.f64 a a))) (pow.f64 (/.f64 #s(literal -1 binary64) a) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (neg.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 2 binary64)) (*.f64 a (*.f64 a (*.f64 a a))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 2 binary64)) (pow.f64 (neg.f64 (*.f64 a (neg.f64 a))) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (neg.f64 (*.f64 a (neg.f64 a))) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (exp.f64 (log.f64 a)) (exp.f64 (log.f64 a)) #s(literal 0 binary64))
(/.f64 (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))) (*.f64 a (*.f64 a (*.f64 a a))))
(/.f64 (*.f64 (*.f64 a (neg.f64 a)) (*.f64 a (*.f64 a (*.f64 a a)))) (neg.f64 (*.f64 a (*.f64 a (*.f64 a a)))))
(/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 a a))
(/.f64 (neg.f64 (*.f64 a (*.f64 a (*.f64 a a)))) (*.f64 a (neg.f64 a)))
(/.f64 (*.f64 (*.f64 a (neg.f64 a)) (*.f64 a (*.f64 a a))) (neg.f64 (*.f64 a (*.f64 a a))))
(/.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (neg.f64 a))) (neg.f64 (*.f64 a (*.f64 a a))))
(/.f64 (neg.f64 (neg.f64 (*.f64 a (*.f64 a (*.f64 a a))))) (neg.f64 (*.f64 a (neg.f64 a))))
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 a (*.f64 a (*.f64 a a))) #s(literal 0 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))) #s(literal 0 binary64)) (*.f64 a (*.f64 a (*.f64 a a))))
(/.f64 (-.f64 (*.f64 a (*.f64 a (*.f64 a a))) #s(literal 0 binary64)) (*.f64 a a))
(/.f64 (*.f64 a (*.f64 a (neg.f64 a))) (neg.f64 a))
(/.f64 (*.f64 (*.f64 a (neg.f64 a)) a) (neg.f64 a))
(/.f64 (neg.f64 (*.f64 (*.f64 a (neg.f64 a)) (*.f64 a (*.f64 a a)))) (*.f64 a (*.f64 a a)))
(/.f64 (neg.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (neg.f64 a)))) (*.f64 a (*.f64 a a)))
(/.f64 (neg.f64 (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))))) (neg.f64 (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 a (*.f64 a (*.f64 a a))) #s(literal 0 binary64)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))) #s(literal 0 binary64))) (neg.f64 (*.f64 a (*.f64 a (*.f64 a a)))))
(/.f64 (neg.f64 (-.f64 (*.f64 a (*.f64 a (*.f64 a a))) #s(literal 0 binary64))) (*.f64 a (neg.f64 a)))
(/.f64 (neg.f64 (*.f64 a (*.f64 a (neg.f64 a)))) a)
(/.f64 (neg.f64 (*.f64 (*.f64 a (neg.f64 a)) a)) a)
(/.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a)) #s(literal 0 binary64)) (*.f64 a (*.f64 a (*.f64 a a))))
(pow.f64 a #s(literal 2 binary64))
(pow.f64 (*.f64 a a) #s(literal 1 binary64))
(pow.f64 (neg.f64 a) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 a)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 a a))
(*.f64 a a)
(*.f64 (*.f64 a a) #s(literal 1 binary64))
(*.f64 (neg.f64 a) (neg.f64 a))
(*.f64 (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) #s(literal 2 binary64)))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (pow.f64 (neg.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 2 binary64)))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (pow.f64 (/.f64 #s(literal -1 binary64) a) #s(literal 2 binary64)))
(*.f64 (pow.f64 (neg.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 2 binary64)) (*.f64 a (*.f64 a (*.f64 a a))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 2 binary64)) (pow.f64 (neg.f64 (*.f64 a (neg.f64 a))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (neg.f64 (*.f64 a (neg.f64 a))) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 2 binary64)))
(*.f64 (exp.f64 (log.f64 a)) (exp.f64 (log.f64 a)))
(exp.f64 (*.f64 (log.f64 a) #s(literal 1/2 binary64)))
(sqrt.f64 a)
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (neg.f64 a) (*.f64 a (neg.f64 a)))))
(/.f64 a (sqrt.f64 a))
(/.f64 (sqrt.f64 a) #s(literal 1 binary64))
(/.f64 (*.f64 a (sqrt.f64 a)) a)
(/.f64 (sqrt.f64 (neg.f64 a)) (sqrt.f64 #s(literal -1 binary64)))
(/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) a) (sqrt.f64 (neg.f64 a)))
(/.f64 (sqrt.f64 (neg.f64 (*.f64 a (neg.f64 a)))) (sqrt.f64 a))
(/.f64 (sqrt.f64 (*.f64 (*.f64 a (neg.f64 a)) (*.f64 a (*.f64 a (*.f64 a a))))) (sqrt.f64 (*.f64 (neg.f64 a) (*.f64 a (*.f64 a (*.f64 a a))))))
(/.f64 (sqrt.f64 (neg.f64 (*.f64 a (*.f64 a (*.f64 a a))))) (sqrt.f64 (neg.f64 (*.f64 a (*.f64 a a)))))
(/.f64 (sqrt.f64 (neg.f64 (*.f64 a (*.f64 a a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) a))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) a)) (neg.f64 (sqrt.f64 (neg.f64 a))))
(/.f64 (neg.f64 (*.f64 a (sqrt.f64 a))) (neg.f64 a))
(pow.f64 a #s(literal 1/2 binary64))
(pow.f64 (*.f64 a a) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 a #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 a)) #s(literal 1/2 binary64))
(*.f64 (sqrt.f64 a) #s(literal 1 binary64))
(*.f64 (*.f64 a (sqrt.f64 a)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) #s(literal 1/2 binary64)))
(*.f64 (*.f64 a (sqrt.f64 a)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a))))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 a)))
(*.f64 (pow.f64 a #s(literal 1/4 binary64)) (pow.f64 a #s(literal 1/4 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) a) (pow.f64 (neg.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) a) (pow.f64 (/.f64 #s(literal -1 binary64) a) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) a) (sqrt.f64 (neg.f64 (/.f64 #s(literal 1 binary64) a))))
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) a) (sqrt.f64 (/.f64 #s(literal -1 binary64) a)))
(*.f64 (pow.f64 (neg.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) a))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (*.f64 a (neg.f64 a))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 (*.f64 a (neg.f64 a))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (sqrt.f64 (neg.f64 (*.f64 a (neg.f64 a)))))
(*.f64 (sqrt.f64 (neg.f64 (/.f64 #s(literal 1 binary64) a))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) a))
(*.f64 (sqrt.f64 (neg.f64 (*.f64 a (neg.f64 a)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))

simplify562.0ms (5.6%)

Memory
-14.3MiB live, 659.8MiB allocated
Algorithm
1×egg-herbie
Rules
11 320×lower-fma.f64
11 320×lower-fma.f32
9 862×lower-*.f64
9 862×lower-*.f32
4 582×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09527443
130597243
090376996
Stop Event
1×iter limit
1×node limit
Counts
516 → 499
Calls
Call 1
Inputs
(* 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))))))
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
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))))))))
(* (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))))))))
(* -1 (/ b a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ c b)
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
(/ c b)
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
(* -1 (/ b a))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
(/ c b)
(* c (+ (* -1 (/ b (* a c))) (/ 1 b)))
(* c (+ (* -1 (/ b (* a c))) (/ 1 b)))
(* c (+ (* -1 (/ b (* a c))) (/ 1 b)))
(/ c b)
(* -1 (* c (- (/ b (* a c)) (/ 1 b))))
(* -1 (* c (- (/ b (* a c)) (/ 1 b))))
(* -1 (* c (- (/ b (* a c)) (/ 1 b))))
(/ c b)
(/ (+ c (* -1 (/ (pow b 2) a))) b)
(/ (+ c (* -1 (/ (pow b 2) a))) b)
(/ (+ c (* -1 (/ (pow b 2) a))) b)
(* -1 (/ b a))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 b)
(- (/ (* a c) b) b)
(- (/ (* a c) b) b)
(- (/ (* a c) b) b)
(/ (* a c) b)
(* a (+ (* -1 (/ b a)) (/ c b)))
(* a (+ (* -1 (/ b a)) (/ c b)))
(* a (+ (* -1 (/ b a)) (/ c b)))
(/ (* a c) b)
(* -1 (* a (+ (* -1 (/ c b)) (/ b a))))
(* -1 (* a (+ (* -1 (/ c b)) (/ b a))))
(* -1 (* a (+ (* -1 (/ c b)) (/ b a))))
(* -1 b)
(- (/ (* a c) b) b)
(- (/ (* a c) b) b)
(- (/ (* a c) b) b)
(/ (* a c) b)
(* c (+ (* -1 (/ b c)) (/ a b)))
(* c (+ (* -1 (/ b c)) (/ a b)))
(* c (+ (* -1 (/ b c)) (/ a b)))
(/ (* a c) b)
(* -1 (* c (+ (* -1 (/ a b)) (/ b c))))
(* -1 (* c (+ (* -1 (/ a b)) (/ b c))))
(* -1 (* c (+ (* -1 (/ a b)) (/ b c))))
(/ (* a c) b)
(/ (+ (* -1 (pow b 2)) (* a c)) b)
(/ (+ (* -1 (pow b 2)) (* a c)) b)
(/ (+ (* -1 (pow b 2)) (* a c)) b)
(* -1 b)
(* b (- (/ (* a c) (pow b 2)) 1))
(* b (- (/ (* a c) (pow b 2)) 1))
(* b (- (/ (* a c) (pow b 2)) 1))
(* -1 b)
(* -1 (* b (+ 1 (* -1 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (* -1 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (* -1 (/ (* a c) (pow b 2))))))
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
a
a
a
a
a
a
a
a
a
a
a
a
(* -1 (pow a 2))
(* -1 (pow a 2))
(* -1 (pow a 2))
(* -1 (pow a 2))
(* -1 (pow a 2))
(* -1 (pow a 2))
(* -1 (pow a 2))
(* -1 (pow a 2))
(* -1 (pow a 2))
(* -1 (pow a 2))
(* -1 (pow a 2))
(* -1 (pow a 2))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1/2 (/ (- b (* (sqrt (* a c)) (sqrt -4))) a))
(* -1/2 (/ (- b (* (sqrt (* a c)) (sqrt -4))) a))
(* -1/2 (/ (- b (* (sqrt (* a c)) (sqrt -4))) a))
(* -1/2 (/ (- b (* (sqrt (* a c)) (sqrt -4))) a))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -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) (pow (sqrt -1) 2))))
(+ (* -1/2 (* (sqrt (/ c a)) (* (sqrt -4) (pow (sqrt -1) 2)))) (* -1/2 (/ b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (* (sqrt -4) (pow (sqrt -1) 2)))) (* -1/2 (/ b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (* (sqrt -4) (pow (sqrt -1) 2)))) (* -1/2 (/ b a)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(* -1/2 (/ b a))
(* b (- (* 1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a))))
(* b (- (* 1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a))))
(* b (- (* 1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a))))
(* -1/2 (/ b a))
(* -1 (* b (+ (* -1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a)))))
(* -1 (* b (+ (* -1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a)))))
(* -1 (* b (+ (* -1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a)))))
(* -1/2 (/ (- b (* (sqrt (* a c)) (sqrt -4))) a))
(* -1/2 (/ (- b (* (sqrt (* a c)) (sqrt -4))) a))
(* -1/2 (/ (- b (* (sqrt (* a c)) (sqrt -4))) a))
(* -1/2 (/ (- b (* (sqrt (* a c)) (sqrt -4))) a))
(* 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))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (* 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 (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -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)
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(- b (* (sqrt (* a c)) (sqrt -4)))
(- b (* (sqrt (* a c)) (sqrt -4)))
(- b (* (sqrt (* a c)) (sqrt -4)))
b
(* b (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b)))))
(* b (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b)))))
(* b (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b)))))
b
(* -1 (* b (- (* (sqrt (* a c)) (/ (sqrt -4) b)) 1)))
(* -1 (* b (- (* (sqrt (* a c)) (/ (sqrt -4) b)) 1)))
(* -1 (* b (- (* (sqrt (* a c)) (/ (sqrt -4) b)) 1)))
(- b (* (sqrt (* a c)) (sqrt -4)))
(- b (* (sqrt (* a c)) (sqrt -4)))
(- b (* (sqrt (* a c)) (sqrt -4)))
(- b (* (sqrt (* a c)) (sqrt -4)))
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(* c (- (/ b c) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (/ b c) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (/ b c) (* (sqrt (/ a c)) (sqrt -4))))
(* 2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (- (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (- (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (- (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(- b (* (sqrt (* a c)) (sqrt -4)))
(- b (* (sqrt (* a c)) (sqrt -4)))
(- b (* (sqrt (* a c)) (sqrt -4)))
(- b (* (sqrt (* a c)) (sqrt -4)))
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(* a (- (/ b a) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (/ b a) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (/ b a) (* (sqrt (/ c a)) (sqrt -4))))
(* (sqrt (* a c)) (* (sqrt -4) (pow (sqrt -1) 2)))
(* -1 (* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (* (sqrt -4) (pow (sqrt -1) 2))))))
(* -1 (* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (* (sqrt -4) (pow (sqrt -1) 2))))))
(* -1 (* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (* (sqrt -4) (pow (sqrt -1) 2))))))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* -1 (* (sqrt (* a c)) (* (sqrt -4) (pow (sqrt -1) 2))))
(* -1 (* (sqrt (* a c)) (* (sqrt -4) (pow (sqrt -1) 2))))
(* -1 (* (sqrt (* a c)) (* (sqrt -4) (pow (sqrt -1) 2))))
(* -1 (* (sqrt (* a c)) (* (sqrt -4) (pow (sqrt -1) 2))))
(/ 1 b)
(+ (* 2 (/ (* a c) (pow b 3))) (/ 1 b))
(+ (* a (+ (* -1/2 (* a (* b (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6))))))) (* 2 (/ c (pow b 3))))) (/ 1 b))
(+ (* a (+ (* 2 (/ c (pow b 3))) (* a (+ (* -1/2 (* a (* b (+ (* -64 (/ (pow c 3) (pow b 8))) (* -2 (/ (* c (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6))))) (pow b 2))))))) (* -1/2 (* b (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6)))))))))) (/ 1 b))
(* (sqrt (/ 1 (* a c))) (sqrt -1/4))
(+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4)))
(+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4))))
(+ (* -1/2 (* (sqrt (/ c (pow a 7))) (/ (+ (* 1/1024 (/ (* a (pow b 4)) (* (pow c 3) (pow (sqrt -1/4) 2)))) (* 1/256 (/ (pow b 6) (pow c 4)))) (sqrt -1/4)))) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4)))))
(* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))
(+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(+ (* -1 (/ (+ (* 1/64 (* (sqrt (/ a (pow c 5))) (* (pow b 4) (sqrt -1)))) (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1/256 (/ (* a (pow b 4)) (pow c 3))) (* 1/256 (/ (pow b 6) (pow c 4))))))) (pow a 3))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(/ 1 b)
(+ (* 2 (/ (* a c) (pow b 3))) (/ 1 b))
(+ (* c (+ (* -1/2 (* b (* c (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6))))))) (* 2 (/ a (pow b 3))))) (/ 1 b))
(+ (* c (+ (* 2 (/ a (pow b 3))) (* c (+ (* -1/2 (* b (* c (+ (* -64 (/ (pow a 3) (pow b 8))) (* -2 (/ (* a (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6))))) (pow b 2))))))) (* -1/2 (* b (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6)))))))))) (/ 1 b))
(* (sqrt (/ 1 (* a c))) (sqrt -1/4))
(+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4)))
(+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4))))
(+ (* -1/2 (* (sqrt (/ a (pow c 7))) (/ (+ (* 1/1024 (/ (* (pow b 4) c) (* (pow a 3) (pow (sqrt -1/4) 2)))) (* 1/256 (/ (pow b 6) (pow a 4)))) (sqrt -1/4)))) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4)))))
(* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))
(+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(+ (* -1 (/ (+ (* 1/64 (* (sqrt (/ c (pow a 5))) (* (pow b 4) (sqrt -1)))) (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1/256 (/ (* (pow b 4) c) (pow a 3))) (* 1/256 (/ (pow b 6) (pow a 4))))))) (pow c 3))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* (sqrt (/ 1 (* a c))) (sqrt -1/4))
(+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4)))
(+ (* (sqrt (/ 1 (* a c))) (sqrt -1/4)) (* (pow b 2) (+ (* -1/2 (* (sqrt (* a c)) (/ (* (pow b 2) (+ (* 1/1024 (/ 1 (* (pow a 3) (* (pow c 3) (pow (sqrt -1/4) 2))))) (* 1/64 (/ 1 (* (pow a 3) (pow c 3)))))) (sqrt -1/4)))) (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (sqrt -1/4)))))))
(+ (* (sqrt (/ 1 (* a c))) (sqrt -1/4)) (* (pow b 2) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (sqrt -1/4)))) (* (pow b 2) (+ (* -1/2 (* (sqrt (* a c)) (/ (* (pow b 2) (+ (* 1/32 (/ (+ (* 1/1024 (/ 1 (* (pow a 3) (* (pow c 3) (pow (sqrt -1/4) 2))))) (* 1/64 (/ 1 (* (pow a 3) (pow c 3))))) (* a (* c (pow (sqrt -1/4) 2))))) (* 1/256 (/ 1 (* (pow a 4) (pow c 4)))))) (sqrt -1/4)))) (* -1/2 (* (sqrt (* a c)) (/ (+ (* 1/1024 (/ 1 (* (pow a 3) (* (pow c 3) (pow (sqrt -1/4) 2))))) (* 1/64 (/ 1 (* (pow a 3) (pow c 3))))) (sqrt -1/4)))))))))
(/ 1 b)
(/ (+ 1 (* 2 (/ (* a c) (pow b 2)))) b)
(/ (+ 1 (+ (* -1/2 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 2 (/ (* a c) (pow b 2))))) b)
(/ (+ 1 (+ (* -1/2 (/ (+ (* -64 (* (pow a 3) (pow c 3))) (* -2 (* a (* c (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))))))) (pow b 6))) (+ (* -1/2 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 2 (/ (* a c) (pow b 2)))))) b)
(/ -1 b)
(* -1 (/ (+ 1 (* 2 (/ (* a c) (pow b 2)))) b))
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 2 (/ (* a c) (pow b 2))))) b))
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -64 (* (pow a 3) (pow c 3))) (* -2 (* a (* c (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))))))) (pow b 6))) (+ (* -1/2 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 2 (/ (* a c) (pow b 2)))))) b))
(/ 1 (pow b 2))
(+ (* 4 (/ (* a c) (pow b 4))) (/ 1 (pow b 2)))
(+ (* a (- (* 16 (/ (* a (pow c 2)) (pow b 6))) (* -4 (/ c (pow b 4))))) (/ 1 (pow b 2)))
(+ (* a (- (* a (- (* 64 (/ (* a (pow c 3)) (pow b 8))) (* -16 (/ (pow c 2) (pow b 6))))) (* -4 (/ c (pow b 4))))) (/ 1 (pow b 2)))
(/ -1/4 (* a c))
(/ (- (* -1/16 (/ (pow b 2) (* a (pow c 2)))) (* 1/4 (/ 1 c))) a)
(/ (- (* -1/64 (/ (pow b 4) (* (pow a 2) (pow c 3)))) (+ (* 1/16 (/ (pow b 2) (* a (pow c 2)))) (* 1/4 (/ 1 c)))) a)
(/ (- (* -1/256 (/ (pow b 6) (* (pow a 3) (pow c 4)))) (+ (* 1/64 (/ (pow b 4) (* (pow a 2) (pow c 3)))) (+ (* 1/16 (/ (pow b 2) (* a (pow c 2)))) (* 1/4 (/ 1 c))))) a)
(/ -1/4 (* a c))
(* -1 (/ (+ (* 1/16 (/ (pow b 2) (* a (pow c 2)))) (* 1/4 (/ 1 c))) a))
(* -1 (/ (+ (* -1 (/ (- (* -1/64 (/ (pow b 4) (* a (pow c 3)))) (* 1/16 (/ (pow b 2) (pow c 2)))) a)) (* 1/4 (/ 1 c))) a))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/256 (/ (pow b 6) (* a (pow c 4)))) (* -1/64 (/ (pow b 4) (pow c 3)))) a)) (* 1/16 (/ (pow b 2) (pow c 2)))) a)) (* 1/4 (/ 1 c))) a))
(/ 1 (pow b 2))
(+ (* 4 (/ (* a c) (pow b 4))) (/ 1 (pow b 2)))
(+ (* c (- (* 16 (/ (* (pow a 2) c) (pow b 6))) (* -4 (/ a (pow b 4))))) (/ 1 (pow b 2)))
(+ (* c (- (* c (- (* 64 (/ (* (pow a 3) c) (pow b 8))) (* -16 (/ (pow a 2) (pow b 6))))) (* -4 (/ a (pow b 4))))) (/ 1 (pow b 2)))
(/ -1/4 (* a c))
(/ (- (* -1/16 (/ (pow b 2) (* (pow a 2) c))) (* 1/4 (/ 1 a))) c)
(/ (- (* -1/64 (/ (pow b 4) (* (pow a 3) (pow c 2)))) (+ (* 1/16 (/ (pow b 2) (* (pow a 2) c))) (* 1/4 (/ 1 a)))) c)
(/ (- (* -1/256 (/ (pow b 6) (* (pow a 4) (pow c 3)))) (+ (* 1/64 (/ (pow b 4) (* (pow a 3) (pow c 2)))) (+ (* 1/16 (/ (pow b 2) (* (pow a 2) c))) (* 1/4 (/ 1 a))))) c)
(/ -1/4 (* a c))
(* -1 (/ (+ (* 1/16 (/ (pow b 2) (* (pow a 2) c))) (* 1/4 (/ 1 a))) c))
(* -1 (/ (+ (* -1 (/ (- (* -1/64 (/ (pow b 4) (* (pow a 3) c))) (* 1/16 (/ (pow b 2) (pow a 2)))) c)) (* 1/4 (/ 1 a))) c))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/256 (/ (pow b 6) (* (pow a 4) c))) (* -1/64 (/ (pow b 4) (pow a 3)))) c)) (* 1/16 (/ (pow b 2) (pow a 2)))) c)) (* 1/4 (/ 1 a))) c))
(/ -1/4 (* a c))
(- (* -1/16 (/ (pow b 2) (* (pow a 2) (pow c 2)))) (* 1/4 (/ 1 (* a c))))
(- (* (pow b 2) (- (* -1/64 (/ (pow b 2) (* (pow a 3) (pow c 3)))) (* 1/16 (/ 1 (* (pow a 2) (pow c 2)))))) (* 1/4 (/ 1 (* a c))))
(- (* (pow b 2) (- (* (pow b 2) (- (* -1/256 (/ (pow b 2) (* (pow a 4) (pow c 4)))) (* 1/64 (/ 1 (* (pow a 3) (pow c 3)))))) (* 1/16 (/ 1 (* (pow a 2) (pow c 2)))))) (* 1/4 (/ 1 (* a c))))
(/ 1 (pow b 2))
(/ (+ 1 (* 4 (/ (* a c) (pow b 2)))) (pow b 2))
(/ (- (+ 1 (* 16 (/ (* (pow a 2) (pow c 2)) (pow b 4)))) (* -4 (/ (* a c) (pow b 2)))) (pow b 2))
(/ (- (+ 1 (* 64 (/ (* (pow a 3) (pow c 3)) (pow b 6)))) (+ (* -16 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -4 (/ (* a c) (pow b 2))))) (pow b 2))
(/ 1 (pow b 2))
(/ (+ 1 (* 4 (/ (* a c) (pow b 2)))) (pow b 2))
(/ (- (+ 1 (* 16 (/ (* (pow a 2) (pow c 2)) (pow b 4)))) (* -4 (/ (* a c) (pow b 2)))) (pow b 2))
(/ (- (+ 1 (* 64 (/ (* (pow a 3) (pow c 3)) (pow b 6)))) (+ (* -16 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -4 (/ (* a c) (pow b 2))))) (pow b 2))
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(sqrt a)
(sqrt a)
(sqrt a)
(sqrt a)
(sqrt a)
(sqrt a)
(sqrt a)
(sqrt a)
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
Outputs
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 1/2 binary64)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(*.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) (neg.f64 (sqrt.f64 #s(literal -4 binary64))) (/.f64 b a)))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(fma.f64 b (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) (*.f64 c a)))) (*.f64 (/.f64 b (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/4 binary64)) (/.f64 #s(literal -1/2 binary64) a)) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 1/2 binary64))))
(+ (* 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)))))
(fma.f64 b (fma.f64 b (fma.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) (*.f64 c a)))) (sqrt.f64 #s(literal -4 binary64))) (*.f64 #s(literal -1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 c (*.f64 c c))))) (/.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64))))))) (/.f64 #s(literal -1/2 binary64) a)) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 1/2 binary64))))
(* -1 (/ c b))
(/.f64 c (neg.f64 b))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/.f64 (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))))) b)
(/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 a (*.f64 c (*.f64 c (*.f64 c a)))) (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))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 a (*.f64 c (*.f64 c (*.f64 c a)))) (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64))) (*.f64 a (pow.f64 b #s(literal 6 binary64)))) (neg.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c)))) b)
(* -1 (/ b a))
(/.f64 b (neg.f64 a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b))) (neg.f64 b))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(*.f64 (fma.f64 (neg.f64 a) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b)))) (neg.f64 b))
(* -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))))))
(neg.f64 (*.f64 b (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 a (*.f64 c (*.f64 c (*.f64 c a)))) (pow.f64 b #s(literal 6 binary64))) (fma.f64 (neg.f64 a) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b 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 c (*.f64 c (*.f64 c a)))) (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 (+ (* -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)))))))
(-.f64 (*.f64 a (fma.f64 a (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 20 binary64) a)) b) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 (neg.f64 c) c) (*.f64 b (*.f64 b b))))) (/.f64 c b))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 1/2 binary64)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(*.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) (neg.f64 (sqrt.f64 #s(literal -4 binary64))) (/.f64 b a)))
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(fma.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) (neg.f64 (sqrt.f64 #s(literal -4 binary64))) (/.f64 b a)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) (*.f64 c a)))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/4 binary64))))
(+ (* -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))))))
(fma.f64 #s(literal -1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 c (*.f64 c c))))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64))))) (fma.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) (neg.f64 (sqrt.f64 #s(literal -4 binary64))) (/.f64 b a)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) (*.f64 c a)))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/4 binary64)))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(neg.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) b) a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(neg.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 b b) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))))) (*.f64 #s(literal 1/2 binary64) 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)))
(neg.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) b) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 b b) (sqrt.f64 (/.f64 a c)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 c (*.f64 c a))))) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/128 binary64)))) 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 (*.f64 #s(literal -2 binary64) 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 (+ (* -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)))
(*.f64 c (fma.f64 c (fma.f64 c (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 20 binary64) c)) (*.f64 a b)) (/.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)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 1/2 binary64)))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(*.f64 c (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) b) (*.f64 c a))))
(* 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))))))
(*.f64 c (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (fma.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c)))))) (/.f64 (*.f64 #s(literal -1/2 binary64) b) (*.f64 c a)))))
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(/ 1 (pow b 2))
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(/ (- (* -1/256 (/ (pow b 6) (* (pow a 3) (pow c 4)))) (+ (* 1/64 (/ (pow b 4) (* (pow a 2) (pow c 3)))) (+ (* 1/16 (/ (pow b 2) (* a (pow c 2)))) (* 1/4 (/ 1 c))))) a)
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(/ -1/4 (* a c))
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(* -1 (/ (+ (* -1 (/ (- (* -1/64 (/ (pow b 4) (* a (pow c 3)))) (* 1/16 (/ (pow b 2) (pow c 2)))) a)) (* 1/4 (/ 1 c))) a))
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) c) (/.f64 (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 c (*.f64 c (*.f64 c a)))) (*.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 b b) (*.f64 c c)))) a)) (neg.f64 a))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/256 (/ (pow b 6) (* a (pow c 4)))) (* -1/64 (/ (pow b 4) (pow c 3)))) a)) (* 1/16 (/ (pow b 2) (pow c 2)))) a)) (* 1/4 (/ 1 c))) a))
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) c) (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/256 binary64) (/.f64 (pow.f64 b #s(literal 6 binary64)) (*.f64 a (pow.f64 c #s(literal 4 binary64)))) (*.f64 #s(literal 1/64 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 c (*.f64 c c))))) (neg.f64 a)) (*.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 b b) (*.f64 c c)))) a)) (neg.f64 a))
(/ 1 (pow b 2))
(/.f64 #s(literal 1 binary64) (*.f64 b b))
(+ (* 4 (/ (* a c) (pow b 4))) (/ 1 (pow b 2)))
(fma.f64 a (*.f64 #s(literal 4 binary64) (/.f64 c (pow.f64 b #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 b b)))
(+ (* c (- (* 16 (/ (* (pow a 2) c) (pow b 6))) (* -4 (/ a (pow b 4))))) (/ 1 (pow b 2)))
(fma.f64 c (fma.f64 (*.f64 a a) (*.f64 (/.f64 c (pow.f64 b #s(literal 6 binary64))) #s(literal 16 binary64)) (*.f64 #s(literal 4 binary64) (/.f64 a (pow.f64 b #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 b b)))
(+ (* c (- (* c (- (* 64 (/ (* (pow a 3) c) (pow b 8))) (* -16 (/ (pow a 2) (pow b 6))))) (* -4 (/ a (pow b 4))))) (/ 1 (pow b 2)))
(fma.f64 c (fma.f64 c (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (/.f64 c (pow.f64 b #s(literal 8 binary64))) #s(literal 64 binary64)) (*.f64 #s(literal 16 binary64) (/.f64 (*.f64 a a) (pow.f64 b #s(literal 6 binary64))))) (*.f64 #s(literal 4 binary64) (/.f64 a (pow.f64 b #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 b b)))
(/ -1/4 (* a c))
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(/ (- (* -1/16 (/ (pow b 2) (* (pow a 2) c))) (* 1/4 (/ 1 a))) c)
(/.f64 (fma.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 b b) (*.f64 c (*.f64 a a))) (/.f64 #s(literal -1/4 binary64) a)) c)
(/ (- (* -1/64 (/ (pow b 4) (* (pow a 3) (pow c 2)))) (+ (* 1/16 (/ (pow b 2) (* (pow a 2) c))) (* 1/4 (/ 1 a)))) c)
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/64 binary64) (pow.f64 b #s(literal 4 binary64))) (*.f64 (*.f64 c (*.f64 c a)) (*.f64 a a))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 b b) (*.f64 c (*.f64 a a))) (/.f64 #s(literal 1/4 binary64) a))) c)
(/ (- (* -1/256 (/ (pow b 6) (* (pow a 4) (pow c 3)))) (+ (* 1/64 (/ (pow b 4) (* (pow a 3) (pow c 2)))) (+ (* 1/16 (/ (pow b 2) (* (pow a 2) c))) (* 1/4 (/ 1 a))))) c)
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/256 binary64) (pow.f64 b #s(literal 6 binary64))) (*.f64 (*.f64 c (*.f64 c c)) (pow.f64 a #s(literal 4 binary64)))) (fma.f64 #s(literal 1/64 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 c (*.f64 c a)) (*.f64 a a))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 b b) (*.f64 c (*.f64 a a))) (/.f64 #s(literal 1/4 binary64) a)))) c)
(/ -1/4 (* a c))
(/.f64 #s(literal -1/4 binary64) (*.f64 c a))
(* -1 (/ (+ (* 1/16 (/ (pow b 2) (* (pow a 2) c))) (* 1/4 (/ 1 a))) c))
(/.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 b b) (*.f64 c (*.f64 a a))) (/.f64 #s(literal 1/4 binary64) a)) (neg.f64 c))
(* -1 (/ (+ (* -1 (/ (- (* -1/64 (/ (pow b 4) (* (pow a 3) c))) (* 1/16 (/ (pow b 2) (pow a 2)))) c)) (* 1/4 (/ 1 a))) c))
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) a) (/.f64 (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 a a) (*.f64 c a))) (*.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 b b) (*.f64 a a)))) c)) (neg.f64 c))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/256 (/ (pow b 6) (* (pow a 4) c))) (* -1/64 (/ (pow b 4) (pow a 3)))) c)) (* 1/16 (/ (pow b 2) (pow a 2)))) c)) (* 1/4 (/ 1 a))) c))
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) a) (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/256 binary64) (/.f64 (pow.f64 b #s(literal 6 binary64)) (*.f64 c (pow.f64 a #s(literal 4 binary64)))) (*.f64 #s(literal 1/64 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 a (*.f64 a a))))) (neg.f64 c)) (*.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 b b) (*.f64 a a)))) c)) (neg.f64 c))
(/ -1/4 (* a c))
(/.f64 #s(literal -1/4 binary64) (*.f64 c a))
(- (* -1/16 (/ (pow b 2) (* (pow a 2) (pow c 2)))) (* 1/4 (/ 1 (* a c))))
(fma.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 b b) (*.f64 a (*.f64 c (*.f64 c a)))) (/.f64 #s(literal -1/4 binary64) (*.f64 c a)))
(- (* (pow b 2) (- (* -1/64 (/ (pow b 2) (* (pow a 3) (pow c 3)))) (* 1/16 (/ 1 (* (pow a 2) (pow c 2)))))) (* 1/4 (/ 1 (* a c))))
(fma.f64 (*.f64 b b) (fma.f64 #s(literal -1/64 binary64) (/.f64 (*.f64 b b) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c)))) (/.f64 #s(literal -1/16 binary64) (*.f64 a (*.f64 c (*.f64 c a))))) (/.f64 #s(literal -1/4 binary64) (*.f64 c a)))
(- (* (pow b 2) (- (* (pow b 2) (- (* -1/256 (/ (pow b 2) (* (pow a 4) (pow c 4)))) (* 1/64 (/ 1 (* (pow a 3) (pow c 3)))))) (* 1/16 (/ 1 (* (pow a 2) (pow c 2)))))) (* 1/4 (/ 1 (* a c))))
(fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 #s(literal -1/256 binary64) (/.f64 (*.f64 b b) (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64)))) (/.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))))) (/.f64 #s(literal -1/16 binary64) (*.f64 a (*.f64 c (*.f64 c a))))) (/.f64 #s(literal -1/4 binary64) (*.f64 c a)))
(/ 1 (pow b 2))
(/.f64 #s(literal 1 binary64) (*.f64 b b))
(/ (+ 1 (* 4 (/ (* a c) (pow b 2)))) (pow b 2))
(/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal 1 binary64)) (*.f64 b b))
(/ (- (+ 1 (* 16 (/ (* (pow a 2) (pow c 2)) (pow b 4)))) (* -4 (/ (* a c) (pow b 2)))) (pow b 2))
(/.f64 (fma.f64 #s(literal 16 binary64) (/.f64 (*.f64 a (*.f64 c (*.f64 c a))) (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal 4 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal 1 binary64))) (*.f64 b b))
(/ (- (+ 1 (* 64 (/ (* (pow a 3) (pow c 3)) (pow b 6)))) (+ (* -16 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -4 (/ (* a c) (pow b 2))))) (pow b 2))
(/.f64 (-.f64 (fma.f64 (*.f64 #s(literal 64 binary64) (*.f64 a (*.f64 a a))) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 6 binary64))) #s(literal 1 binary64)) (fma.f64 (*.f64 #s(literal -16 binary64) (*.f64 a a)) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 4 binary64))) (*.f64 #s(literal -4 binary64) (*.f64 a (/.f64 c (*.f64 b b)))))) (*.f64 b b))
(/ 1 (pow b 2))
(/.f64 #s(literal 1 binary64) (*.f64 b b))
(/ (+ 1 (* 4 (/ (* a c) (pow b 2)))) (pow b 2))
(/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal 1 binary64)) (*.f64 b b))
(/ (- (+ 1 (* 16 (/ (* (pow a 2) (pow c 2)) (pow b 4)))) (* -4 (/ (* a c) (pow b 2)))) (pow b 2))
(/.f64 (fma.f64 #s(literal 16 binary64) (/.f64 (*.f64 a (*.f64 c (*.f64 c a))) (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal 4 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal 1 binary64))) (*.f64 b b))
(/ (- (+ 1 (* 64 (/ (* (pow a 3) (pow c 3)) (pow b 6)))) (+ (* -16 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -4 (/ (* a c) (pow b 2))))) (pow b 2))
(/.f64 (-.f64 (fma.f64 (*.f64 #s(literal 64 binary64) (*.f64 a (*.f64 a a))) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 6 binary64))) #s(literal 1 binary64)) (fma.f64 (*.f64 #s(literal -16 binary64) (*.f64 a a)) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 4 binary64))) (*.f64 #s(literal -4 binary64) (*.f64 a (/.f64 c (*.f64 b b)))))) (*.f64 b b))
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(sqrt a)
(sqrt.f64 a)
(sqrt a)
(sqrt.f64 a)
(sqrt a)
(sqrt.f64 a)
(sqrt a)
(sqrt.f64 a)
(sqrt a)
(sqrt.f64 a)
(sqrt a)
(sqrt.f64 a)
(sqrt a)
(sqrt.f64 a)
(sqrt a)
(sqrt.f64 a)
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(neg.f64 (neg.f64 (sqrt.f64 a)))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(neg.f64 (neg.f64 (sqrt.f64 a)))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(neg.f64 (neg.f64 (sqrt.f64 a)))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(neg.f64 (neg.f64 (sqrt.f64 a)))

eval229.0ms (2.3%)

Memory
0.6MiB live, 329.2MiB allocated
Compiler

Compiled 38 051 to 5 065 computations (86.7% saved)

prune226.0ms (2.2%)

Memory
-2.6MiB live, 389.1MiB allocated
Pruning

35 alts after pruning (28 fresh and 7 done)

PrunedKeptTotal
New1 591101 601
Fresh21820
Picked325
Done055
Total1 596351 631
Accuracy
99.9%
Counts
1 631 → 35
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓50.9%
(fma.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a) #s(literal 1/2 binary64) (/.f64 b (*.f64 a #s(literal -2 binary64))))
35.0%
(fma.f64 (/.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) a) #s(literal 1/2 binary64) (/.f64 b (*.f64 a #s(literal -2 binary64))))
30.5%
(fma.f64 (/.f64 (neg.f64 b) a) #s(literal 1/2 binary64) (/.f64 b (*.f64 a #s(literal -2 binary64))))
28.7%
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 a c) (neg.f64 b)) a)
10.3%
(/.f64 (fma.f64 (*.f64 c b) a (*.f64 (*.f64 b b) (neg.f64 b))) (*.f64 (*.f64 b b) a))
25.7%
(/.f64 (/.f64 (*.f64 (neg.f64 c) a) b) a)
✓28.7%
(/.f64 (-.f64 (/.f64 (*.f64 a c) b) b) a)
35.0%
(/.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (*.f64 a #s(literal -2 binary64)))
33.4%
(/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 c a))))) (*.f64 #s(literal 2 binary64) a))
✓28.3%
(/.f64 (*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b)) (*.f64 #s(literal 2 binary64) a))
28.2%
(/.f64 (*.f64 c (/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 a #s(literal -2 binary64))))) (*.f64 #s(literal 2 binary64) a))
27.1%
(/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) (*.f64 b (*.f64 a #s(literal 2 binary64))))
47.7%
(/.f64 (*.f64 #s(literal 4 binary64) (*.f64 c a)) (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal -2 binary64))))
✓35.2%
(/.f64 c (neg.f64 b))
10.2%
(/.f64 c b)
22.7%
(/.f64 b (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 a (neg.f64 a))))
13.6%
(/.f64 b (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (fabs.f64 a))))
✓30.5%
(/.f64 b (neg.f64 a))
30.5%
(-.f64 (/.f64 c b) (/.f64 b a))
30.2%
(*.f64 (/.f64 (*.f64 a #s(literal -2 binary64)) (*.f64 a b)) (*.f64 c #s(literal 1/2 binary64)))
22.9%
(*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 b (sqrt.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (*.f64 a (neg.f64 a))) (neg.f64 a))
22.4%
(*.f64 (/.f64 b (*.f64 a (neg.f64 a))) a)
28.2%
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 c (*.f64 a (/.f64 #s(literal -2 binary64) b))))
22.2%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (fma.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) c)) (neg.f64 (sqrt.f64 a)) b))
30.4%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) b))))
33.4%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 a c))))))
21.8%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (*.f64 (sqrt.f64 (*.f64 a #s(literal -4 binary64))) (sqrt.f64 c))))
22.2%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (*.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) c)) (/.f64 a (sqrt.f64 a)))))
✓51.0%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))
35.0%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c))))
35.1%
(*.f64 (/.f64 #s(literal -1 binary64) b) c)
30.4%
(*.f64 (/.f64 #s(literal -1 binary64) a) b)
5.1%
(*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 a a))) (*.f64 a a)) (-.f64 b (*.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) c)) (sqrt.f64 a))))
10.6%
(*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 a (neg.f64 a))) (neg.f64 a)) (-.f64 b (*.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) c)) (sqrt.f64 a))))
✓10.5%
#s(literal 0 binary64)
Compiler

Compiled 1 436 to 593 computations (58.7% saved)

regimes100.0ms (1%)

Memory
18.4MiB live, 97.9MiB allocated
Counts
65 → 4
Calls
Call 1
Inputs
#s(literal 0 binary64)
(/.f64 c b)
(/.f64 b (neg.f64 a))
(/.f64 c (neg.f64 b))
(*.f64 (/.f64 #s(literal -1 binary64) a) b)
(*.f64 (/.f64 #s(literal -1 binary64) b) c)
(*.f64 (/.f64 b (*.f64 a (neg.f64 a))) a)
(/.f64 #s(literal 1 binary64) (/.f64 a (neg.f64 b)))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 (/.f64 (*.f64 (neg.f64 c) a) b) a)
(/.f64 (-.f64 (/.f64 (*.f64 a c) b) b) a)
(*.f64 (/.f64 (*.f64 a #s(literal -2 binary64)) (*.f64 a b)) (*.f64 c #s(literal 1/2 binary64)))
(/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) (*.f64 b (*.f64 a #s(literal 2 binary64))))
(/.f64 b (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 a (neg.f64 a))))
(-.f64 (/.f64 (*.f64 b #s(literal -1/2 binary64)) a) (/.f64 b (*.f64 a #s(literal 2 binary64))))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 a c) (neg.f64 b)) a)
(fma.f64 b (/.f64 c (*.f64 b b)) (/.f64 b (neg.f64 a)))
(fma.f64 (/.f64 (neg.f64 b) a) #s(literal 1/2 binary64) (/.f64 b (*.f64 a #s(literal -2 binary64))))
(*.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 a #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 c (*.f64 a (/.f64 #s(literal -2 binary64) b))))
(*.f64 (/.f64 c a) (*.f64 (*.f64 a (/.f64 #s(literal -2 binary64) b)) #s(literal 1/2 binary64)))
(/.f64 b (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (fabs.f64 a))))
(/.f64 (*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b)) (*.f64 #s(literal 2 binary64) a))
(/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b) (*.f64 #s(literal 2 binary64) a))
(/.f64 b (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) a))))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c))))
(/.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (*.f64 a #s(literal -2 binary64)))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) b))))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (fma.f64 (*.f64 c b) a (*.f64 (*.f64 b b) (neg.f64 b))) (*.f64 (*.f64 b b) a))
(*.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 c (/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 a #s(literal -2 binary64))))) (*.f64 #s(literal 2 binary64) a))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (*.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) c)) (sqrt.f64 a))))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (*.f64 (sqrt.f64 (*.f64 a #s(literal -4 binary64))) (sqrt.f64 c))))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (fma.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) c)) (neg.f64 (sqrt.f64 a)) b))
(/.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 #s(literal 1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))))
(*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 b (sqrt.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (*.f64 a (neg.f64 a))) (neg.f64 a))
(fma.f64 (/.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) a) #s(literal 1/2 binary64) (/.f64 b (*.f64 a #s(literal -2 binary64))))
(-.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) (*.f64 a #s(literal 2 binary64))) (/.f64 b (*.f64 a #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 a c))))))
(/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 c a))))) (*.f64 #s(literal 2 binary64) a))
(fma.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a) #s(literal 1/2 binary64) (/.f64 b (*.f64 a #s(literal -2 binary64))))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (*.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) c)) (/.f64 a (sqrt.f64 a)))))
(/.f64 (*.f64 #s(literal 4 binary64) (*.f64 c a)) (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal -2 binary64))))
(-.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))))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 2 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))))
(*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 a (neg.f64 a))) (neg.f64 a)) (-.f64 b (*.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) c)) (sqrt.f64 a))))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))))
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)))))
(*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 a a))) (*.f64 a a)) (-.f64 b (*.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) c)) (sqrt.f64 a))))
(/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (fma.f64 b b (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))) (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal -2 binary64))))
(/.f64 (/.f64 (fma.f64 b (+.f64 b b) (*.f64 a (*.f64 c #s(literal 4 binary64)))) (*.f64 a #s(literal -2 binary64))) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))
(*.f64 (fma.f64 b b (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))) (/.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 (fma.f64 b b (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))) (*.f64 a #s(literal 2 binary64))) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 a a)) (-.f64 (*.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal -2 binary64))) (*.f64 (*.f64 a #s(literal -2 binary64)) (neg.f64 b)))))
(/.f64 (fma.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)))) b) (*.f64 #s(literal 2 binary64) a))
(*.f64 (/.f64 #s(literal -1 binary64) a) (pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 a (neg.f64 b))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 a c) #s(literal -1 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 b (*.f64 a #s(literal -2 binary64)))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))))
(/.f64 (+.f64 (neg.f64 b) (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (fma.f64 b b (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))) (*.f64 (+.f64 b (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) (*.f64 a #s(literal -2 binary64))))
Outputs
(/.f64 b (neg.f64 a))
(fma.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a) #s(literal 1/2 binary64) (/.f64 b (*.f64 a #s(literal -2 binary64))))
(/.f64 (*.f64 #s(literal 4 binary64) (*.f64 c a)) (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal -2 binary64))))
(/.f64 c (neg.f64 b))
Calls

4 calls:

45.0ms
b
19.0ms
c
17.0ms
a
16.0ms
(/.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
61.0%4a
87.0%4b
58.4%3c
77.3%5(/.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)

regimes51.0ms (0.5%)

Memory
-20.2MiB live, 18.0MiB allocated
Counts
45 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
(/.f64 c b)
(/.f64 b (neg.f64 a))
(/.f64 c (neg.f64 b))
(*.f64 (/.f64 #s(literal -1 binary64) a) b)
(*.f64 (/.f64 #s(literal -1 binary64) b) c)
(*.f64 (/.f64 b (*.f64 a (neg.f64 a))) a)
(/.f64 #s(literal 1 binary64) (/.f64 a (neg.f64 b)))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 (/.f64 (*.f64 (neg.f64 c) a) b) a)
(/.f64 (-.f64 (/.f64 (*.f64 a c) b) b) a)
(*.f64 (/.f64 (*.f64 a #s(literal -2 binary64)) (*.f64 a b)) (*.f64 c #s(literal 1/2 binary64)))
(/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) (*.f64 b (*.f64 a #s(literal 2 binary64))))
(/.f64 b (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 a (neg.f64 a))))
(-.f64 (/.f64 (*.f64 b #s(literal -1/2 binary64)) a) (/.f64 b (*.f64 a #s(literal 2 binary64))))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 a c) (neg.f64 b)) a)
(fma.f64 b (/.f64 c (*.f64 b b)) (/.f64 b (neg.f64 a)))
(fma.f64 (/.f64 (neg.f64 b) a) #s(literal 1/2 binary64) (/.f64 b (*.f64 a #s(literal -2 binary64))))
(*.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 a #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 c (*.f64 a (/.f64 #s(literal -2 binary64) b))))
(*.f64 (/.f64 c a) (*.f64 (*.f64 a (/.f64 #s(literal -2 binary64) b)) #s(literal 1/2 binary64)))
(/.f64 b (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (fabs.f64 a))))
(/.f64 (*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b)) (*.f64 #s(literal 2 binary64) a))
(/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b) (*.f64 #s(literal 2 binary64) a))
(/.f64 b (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) a))))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c))))
(/.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (*.f64 a #s(literal -2 binary64)))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) b))))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (fma.f64 (*.f64 c b) a (*.f64 (*.f64 b b) (neg.f64 b))) (*.f64 (*.f64 b b) a))
(*.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 c (/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 a #s(literal -2 binary64))))) (*.f64 #s(literal 2 binary64) a))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (*.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) c)) (sqrt.f64 a))))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (*.f64 (sqrt.f64 (*.f64 a #s(literal -4 binary64))) (sqrt.f64 c))))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (fma.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) c)) (neg.f64 (sqrt.f64 a)) b))
(/.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 #s(literal 1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))))
(*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 b (sqrt.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (*.f64 a (neg.f64 a))) (neg.f64 a))
(fma.f64 (/.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) a) #s(literal 1/2 binary64) (/.f64 b (*.f64 a #s(literal -2 binary64))))
(-.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) (*.f64 a #s(literal 2 binary64))) (/.f64 b (*.f64 a #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 a c))))))
(/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 c a))))) (*.f64 #s(literal 2 binary64) a))
(fma.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a) #s(literal 1/2 binary64) (/.f64 b (*.f64 a #s(literal -2 binary64))))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (*.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) c)) (/.f64 a (sqrt.f64 a)))))
Outputs
(/.f64 b (neg.f64 a))
(fma.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a) #s(literal 1/2 binary64) (/.f64 b (*.f64 a #s(literal -2 binary64))))
(/.f64 c (neg.f64 b))
Calls

1 calls:

48.0ms
b
Results
AccuracySegmentsBranch
84.5%3b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes14.0ms (0.1%)

Memory
20.1MiB live, 20.1MiB allocated
Counts
43 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
(/.f64 c b)
(/.f64 b (neg.f64 a))
(/.f64 c (neg.f64 b))
(*.f64 (/.f64 #s(literal -1 binary64) a) b)
(*.f64 (/.f64 #s(literal -1 binary64) b) c)
(*.f64 (/.f64 b (*.f64 a (neg.f64 a))) a)
(/.f64 #s(literal 1 binary64) (/.f64 a (neg.f64 b)))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 (/.f64 (*.f64 (neg.f64 c) a) b) a)
(/.f64 (-.f64 (/.f64 (*.f64 a c) b) b) a)
(*.f64 (/.f64 (*.f64 a #s(literal -2 binary64)) (*.f64 a b)) (*.f64 c #s(literal 1/2 binary64)))
(/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) (*.f64 b (*.f64 a #s(literal 2 binary64))))
(/.f64 b (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 a (neg.f64 a))))
(-.f64 (/.f64 (*.f64 b #s(literal -1/2 binary64)) a) (/.f64 b (*.f64 a #s(literal 2 binary64))))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 a c) (neg.f64 b)) a)
(fma.f64 b (/.f64 c (*.f64 b b)) (/.f64 b (neg.f64 a)))
(fma.f64 (/.f64 (neg.f64 b) a) #s(literal 1/2 binary64) (/.f64 b (*.f64 a #s(literal -2 binary64))))
(*.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 a #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 c (*.f64 a (/.f64 #s(literal -2 binary64) b))))
(*.f64 (/.f64 c a) (*.f64 (*.f64 a (/.f64 #s(literal -2 binary64) b)) #s(literal 1/2 binary64)))
(/.f64 b (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (fabs.f64 a))))
(/.f64 (*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b)) (*.f64 #s(literal 2 binary64) a))
(/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b) (*.f64 #s(literal 2 binary64) a))
(/.f64 b (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) a))))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c))))
(/.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (*.f64 a #s(literal -2 binary64)))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) b))))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (fma.f64 (*.f64 c b) a (*.f64 (*.f64 b b) (neg.f64 b))) (*.f64 (*.f64 b b) a))
(*.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 c (/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 a #s(literal -2 binary64))))) (*.f64 #s(literal 2 binary64) a))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (*.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) c)) (sqrt.f64 a))))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (*.f64 (sqrt.f64 (*.f64 a #s(literal -4 binary64))) (sqrt.f64 c))))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (fma.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) c)) (neg.f64 (sqrt.f64 a)) b))
(/.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 #s(literal 1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))))
(*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 b (sqrt.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (*.f64 a (neg.f64 a))) (neg.f64 a))
(fma.f64 (/.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) a) #s(literal 1/2 binary64) (/.f64 b (*.f64 a #s(literal -2 binary64))))
(-.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) (*.f64 a #s(literal 2 binary64))) (/.f64 b (*.f64 a #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 a c))))))
(/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 c a))))) (*.f64 #s(literal 2 binary64) a))
Outputs
(/.f64 b (neg.f64 a))
(/.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 c (neg.f64 b))
Calls

1 calls:

12.0ms
b
Results
AccuracySegmentsBranch
84.5%3b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes24.0ms (0.2%)

Memory
-19.9MiB live, 18.0MiB allocated
Counts
36 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
(/.f64 c b)
(/.f64 b (neg.f64 a))
(/.f64 c (neg.f64 b))
(*.f64 (/.f64 #s(literal -1 binary64) a) b)
(*.f64 (/.f64 #s(literal -1 binary64) b) c)
(*.f64 (/.f64 b (*.f64 a (neg.f64 a))) a)
(/.f64 #s(literal 1 binary64) (/.f64 a (neg.f64 b)))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 (/.f64 (*.f64 (neg.f64 c) a) b) a)
(/.f64 (-.f64 (/.f64 (*.f64 a c) b) b) a)
(*.f64 (/.f64 (*.f64 a #s(literal -2 binary64)) (*.f64 a b)) (*.f64 c #s(literal 1/2 binary64)))
(/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) (*.f64 b (*.f64 a #s(literal 2 binary64))))
(/.f64 b (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 a (neg.f64 a))))
(-.f64 (/.f64 (*.f64 b #s(literal -1/2 binary64)) a) (/.f64 b (*.f64 a #s(literal 2 binary64))))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 a c) (neg.f64 b)) a)
(fma.f64 b (/.f64 c (*.f64 b b)) (/.f64 b (neg.f64 a)))
(fma.f64 (/.f64 (neg.f64 b) a) #s(literal 1/2 binary64) (/.f64 b (*.f64 a #s(literal -2 binary64))))
(*.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 a #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 c (*.f64 a (/.f64 #s(literal -2 binary64) b))))
(*.f64 (/.f64 c a) (*.f64 (*.f64 a (/.f64 #s(literal -2 binary64) b)) #s(literal 1/2 binary64)))
(/.f64 b (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (fabs.f64 a))))
(/.f64 (*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b)) (*.f64 #s(literal 2 binary64) a))
(/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b) (*.f64 #s(literal 2 binary64) a))
(/.f64 b (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) a))))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c))))
(/.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (*.f64 a #s(literal -2 binary64)))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) b))))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (fma.f64 (*.f64 c b) a (*.f64 (*.f64 b b) (neg.f64 b))) (*.f64 (*.f64 b b) a))
(*.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 c (/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 a #s(literal -2 binary64))))) (*.f64 #s(literal 2 binary64) a))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (*.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) c)) (sqrt.f64 a))))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (*.f64 (sqrt.f64 (*.f64 a #s(literal -4 binary64))) (sqrt.f64 c))))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (fma.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) c)) (neg.f64 (sqrt.f64 a)) b))
Outputs
(/.f64 b (neg.f64 a))
(*.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 c (neg.f64 b))
Calls

1 calls:

22.0ms
b
Results
AccuracySegmentsBranch
84.4%3b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes11.0ms (0.1%)

Memory
18.9MiB live, 18.9MiB allocated
Counts
31 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
(/.f64 c b)
(/.f64 b (neg.f64 a))
(/.f64 c (neg.f64 b))
(*.f64 (/.f64 #s(literal -1 binary64) a) b)
(*.f64 (/.f64 #s(literal -1 binary64) b) c)
(*.f64 (/.f64 b (*.f64 a (neg.f64 a))) a)
(/.f64 #s(literal 1 binary64) (/.f64 a (neg.f64 b)))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 (/.f64 (*.f64 (neg.f64 c) a) b) a)
(/.f64 (-.f64 (/.f64 (*.f64 a c) b) b) a)
(*.f64 (/.f64 (*.f64 a #s(literal -2 binary64)) (*.f64 a b)) (*.f64 c #s(literal 1/2 binary64)))
(/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) (*.f64 b (*.f64 a #s(literal 2 binary64))))
(/.f64 b (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 a (neg.f64 a))))
(-.f64 (/.f64 (*.f64 b #s(literal -1/2 binary64)) a) (/.f64 b (*.f64 a #s(literal 2 binary64))))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 a c) (neg.f64 b)) a)
(fma.f64 b (/.f64 c (*.f64 b b)) (/.f64 b (neg.f64 a)))
(fma.f64 (/.f64 (neg.f64 b) a) #s(literal 1/2 binary64) (/.f64 b (*.f64 a #s(literal -2 binary64))))
(*.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 a #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 c (*.f64 a (/.f64 #s(literal -2 binary64) b))))
(*.f64 (/.f64 c a) (*.f64 (*.f64 a (/.f64 #s(literal -2 binary64) b)) #s(literal 1/2 binary64)))
(/.f64 b (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (fabs.f64 a))))
(/.f64 (*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b)) (*.f64 #s(literal 2 binary64) a))
(/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b) (*.f64 #s(literal 2 binary64) a))
(/.f64 b (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) a))))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c))))
(/.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (*.f64 a #s(literal -2 binary64)))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) b))))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (fma.f64 (*.f64 c b) a (*.f64 (*.f64 b b) (neg.f64 b))) (*.f64 (*.f64 b b) a))
Outputs
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (*.f64 a #s(literal -2 binary64)))
(/.f64 c (neg.f64 b))
Calls

1 calls:

9.0ms
b
Results
AccuracySegmentsBranch
79.7%3b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes11.0ms (0.1%)

Memory
-18.1MiB live, 18.8MiB allocated
Counts
27 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
(/.f64 c b)
(/.f64 b (neg.f64 a))
(/.f64 c (neg.f64 b))
(*.f64 (/.f64 #s(literal -1 binary64) a) b)
(*.f64 (/.f64 #s(literal -1 binary64) b) c)
(*.f64 (/.f64 b (*.f64 a (neg.f64 a))) a)
(/.f64 #s(literal 1 binary64) (/.f64 a (neg.f64 b)))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 (/.f64 (*.f64 (neg.f64 c) a) b) a)
(/.f64 (-.f64 (/.f64 (*.f64 a c) b) b) a)
(*.f64 (/.f64 (*.f64 a #s(literal -2 binary64)) (*.f64 a b)) (*.f64 c #s(literal 1/2 binary64)))
(/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) (*.f64 b (*.f64 a #s(literal 2 binary64))))
(/.f64 b (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 a (neg.f64 a))))
(-.f64 (/.f64 (*.f64 b #s(literal -1/2 binary64)) a) (/.f64 b (*.f64 a #s(literal 2 binary64))))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 a c) (neg.f64 b)) a)
(fma.f64 b (/.f64 c (*.f64 b b)) (/.f64 b (neg.f64 a)))
(fma.f64 (/.f64 (neg.f64 b) a) #s(literal 1/2 binary64) (/.f64 b (*.f64 a #s(literal -2 binary64))))
(*.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 a #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 c (*.f64 a (/.f64 #s(literal -2 binary64) b))))
(*.f64 (/.f64 c a) (*.f64 (*.f64 a (/.f64 #s(literal -2 binary64) b)) #s(literal 1/2 binary64)))
(/.f64 b (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (fabs.f64 a))))
(/.f64 (*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b)) (*.f64 #s(literal 2 binary64) a))
(/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b) (*.f64 #s(literal 2 binary64) a))
(/.f64 b (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) a))))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c))))
Outputs
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c))))
(/.f64 c (neg.f64 b))
Calls

1 calls:

8.0ms
b
Results
AccuracySegmentsBranch
79.7%3b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes9.0ms (0.1%)

Memory
17.5MiB live, 17.5MiB allocated
Counts
26 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
(/.f64 c b)
(/.f64 b (neg.f64 a))
(/.f64 c (neg.f64 b))
(*.f64 (/.f64 #s(literal -1 binary64) a) b)
(*.f64 (/.f64 #s(literal -1 binary64) b) c)
(*.f64 (/.f64 b (*.f64 a (neg.f64 a))) a)
(/.f64 #s(literal 1 binary64) (/.f64 a (neg.f64 b)))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 (/.f64 (*.f64 (neg.f64 c) a) b) a)
(/.f64 (-.f64 (/.f64 (*.f64 a c) b) b) a)
(*.f64 (/.f64 (*.f64 a #s(literal -2 binary64)) (*.f64 a b)) (*.f64 c #s(literal 1/2 binary64)))
(/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) (*.f64 b (*.f64 a #s(literal 2 binary64))))
(/.f64 b (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 a (neg.f64 a))))
(-.f64 (/.f64 (*.f64 b #s(literal -1/2 binary64)) a) (/.f64 b (*.f64 a #s(literal 2 binary64))))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 a c) (neg.f64 b)) a)
(fma.f64 b (/.f64 c (*.f64 b b)) (/.f64 b (neg.f64 a)))
(fma.f64 (/.f64 (neg.f64 b) a) #s(literal 1/2 binary64) (/.f64 b (*.f64 a #s(literal -2 binary64))))
(*.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 a #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 c (*.f64 a (/.f64 #s(literal -2 binary64) b))))
(*.f64 (/.f64 c a) (*.f64 (*.f64 a (/.f64 #s(literal -2 binary64) b)) #s(literal 1/2 binary64)))
(/.f64 b (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (fabs.f64 a))))
(/.f64 (*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b)) (*.f64 #s(literal 2 binary64) a))
(/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b) (*.f64 #s(literal 2 binary64) a))
(/.f64 b (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) a))))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))))
Outputs
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))))
(/.f64 c (neg.f64 b))
Calls

1 calls:

8.0ms
b
Results
AccuracySegmentsBranch
79.6%3b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes23.0ms (0.2%)

Memory
-30.7MiB live, 26.1MiB allocated
Counts
25 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
(/.f64 c b)
(/.f64 b (neg.f64 a))
(/.f64 c (neg.f64 b))
(*.f64 (/.f64 #s(literal -1 binary64) a) b)
(*.f64 (/.f64 #s(literal -1 binary64) b) c)
(*.f64 (/.f64 b (*.f64 a (neg.f64 a))) a)
(/.f64 #s(literal 1 binary64) (/.f64 a (neg.f64 b)))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 (/.f64 (*.f64 (neg.f64 c) a) b) a)
(/.f64 (-.f64 (/.f64 (*.f64 a c) b) b) a)
(*.f64 (/.f64 (*.f64 a #s(literal -2 binary64)) (*.f64 a b)) (*.f64 c #s(literal 1/2 binary64)))
(/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) (*.f64 b (*.f64 a #s(literal 2 binary64))))
(/.f64 b (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 a (neg.f64 a))))
(-.f64 (/.f64 (*.f64 b #s(literal -1/2 binary64)) a) (/.f64 b (*.f64 a #s(literal 2 binary64))))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 a c) (neg.f64 b)) a)
(fma.f64 b (/.f64 c (*.f64 b b)) (/.f64 b (neg.f64 a)))
(fma.f64 (/.f64 (neg.f64 b) a) #s(literal 1/2 binary64) (/.f64 b (*.f64 a #s(literal -2 binary64))))
(*.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 a #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 c (*.f64 a (/.f64 #s(literal -2 binary64) b))))
(*.f64 (/.f64 c a) (*.f64 (*.f64 a (/.f64 #s(literal -2 binary64) b)) #s(literal 1/2 binary64)))
(/.f64 b (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (fabs.f64 a))))
(/.f64 (*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b)) (*.f64 #s(literal 2 binary64) a))
(/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b) (*.f64 #s(literal 2 binary64) a))
(/.f64 b (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) a))))
Outputs
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 c (neg.f64 b))
Calls

2 calls:

14.0ms
(/.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
Results
AccuracySegmentsBranch
50.7%4(/.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))
63.5%2b
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes4.0ms (0%)

Memory
3.8MiB live, 3.8MiB allocated
Counts
8 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
(/.f64 c b)
(/.f64 b (neg.f64 a))
(/.f64 c (neg.f64 b))
(*.f64 (/.f64 #s(literal -1 binary64) a) b)
(*.f64 (/.f64 #s(literal -1 binary64) b) c)
(*.f64 (/.f64 b (*.f64 a (neg.f64 a))) a)
(/.f64 #s(literal 1 binary64) (/.f64 a (neg.f64 b)))
Outputs
(/.f64 b (neg.f64 a))
(/.f64 c (neg.f64 b))
Calls

1 calls:

3.0ms
b
Results
AccuracySegmentsBranch
63.3%2b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes8.0ms (0.1%)

Memory
11.1MiB live, 11.1MiB allocated
Counts
3 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
(/.f64 c b)
(/.f64 b (neg.f64 a))
Outputs
(/.f64 b (neg.f64 a))
#s(literal 0 binary64)
Calls

4 calls:

2.0ms
b
2.0ms
a
2.0ms
c
2.0ms
(/.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
30.5%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))
30.5%1c
30.5%1a
38.3%2b
Compiler

Compiled 32 to 23 computations (28.1% saved)

regimes7.0ms (0.1%)

Memory
17.7MiB live, 17.7MiB allocated
Accuracy

Total -0.6b remaining (-1%)

Threshold costs -0.6b (-1%)

Counts
2 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
(/.f64 c b)
Outputs
#s(literal 0 binary64)
Calls

4 calls:

2.0ms
b
1.0ms
(/.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))
1.0ms
c
1.0ms
a
Results
AccuracySegmentsBranch
10.5%1a
10.5%1c
10.5%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))
10.5%1b
Compiler

Compiled 32 to 23 computations (28.1% saved)

bsearch74.0ms (0.7%)

Memory
-16.4MiB live, 139.8MiB allocated
Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×predicate-same
Steps
TimeLeftRight
28.0ms
1515.0420153217592
144851435147.7659
26.0ms
1.9320288651477233e-92
4.237994032138126e-86
13.0ms
-1.5333311411532104e+107
-2.921570225743774e+97
Samples
20.0ms254×0valid
11.0ms73×1valid
10.0ms54×2valid
6.0ms50×0invalid
1.0ms3×3valid
Compiler

Compiled 923 to 641 computations (30.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
ival-mult: 10.0ms (31.4% of total)
adjust: 4.0ms (12.6% of total)
ival-div: 4.0ms (12.6% of total)
ival-sqrt: 4.0ms (12.6% of total)
ival-sub: 3.0ms (9.4% of total)
ival-add: 3.0ms (9.4% of total)
ival-neg: 2.0ms (6.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch10.0ms (0.1%)

Memory
21.4MiB live, 21.4MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×predicate-same
Steps
TimeLeftRight
8.0ms
1.9320288651477233e-92
4.237994032138126e-86
1.0ms
-1.5333311411532104e+107
-2.921570225743774e+97
Samples
3.0ms33×0valid
2.0ms12×1valid
1.0ms12×0invalid
1.0ms3×2valid
Compiler

Compiled 473 to 335 computations (29.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-mult: 2.0ms (50.4% of total)
ival-sqrt: 1.0ms (25.2% of total)
adjust: 0.0ms (0% of total)
ival-div: 0.0ms (0% of total)
ival-sub: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-neg: 0.0ms (0% of total)

bsearch4.0ms (0%)

Memory
-33.0MiB live, 3.9MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×predicate-same
Steps
TimeLeftRight
1.0ms
1.9320288651477233e-92
4.237994032138126e-86
3.0ms
-1.5333311411532104e+107
-2.921570225743774e+97
Compiler

Compiled 458 to 335 computations (26.9% saved)

bsearch10.0ms (0.1%)

Memory
20.4MiB live, 20.4MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
1.9320288651477233e-92
4.237994032138126e-86
8.0ms
-1.5333311411532104e+107
-2.921570225743774e+97
Samples
5.0ms64×0valid
0.0ms5×0invalid
Compiler

Compiled 536 to 381 computations (28.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-mult: 1.0ms (29.4% of total)
ival-div: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-sub: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-sqrt: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-neg: 0.0ms (0% of total)

bsearch24.0ms (0.2%)

Memory
5.6MiB live, 43.4MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
1.9320288651477233e-92
4.237994032138126e-86
20.0ms
-3.395465035930949e-86
-1.1284900595480147e-92
Samples
11.0ms144×0valid
2.0ms27×0invalid
Compiler

Compiled 482 to 353 computations (26.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 4.0ms (46.9% of total)
ival-div: 1.0ms (11.7% of total)
ival-add: 1.0ms (11.7% of total)
ival-sub: 1.0ms (11.7% of total)
ival-sqrt: 1.0ms (11.7% of total)
ival-neg: 1.0ms (11.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
4.2MiB live, 4.2MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
1.9320288651477233e-92
4.237994032138126e-86
1.0ms
-3.395465035930949e-86
-1.1284900595480147e-92
Compiler

Compiled 482 to 353 computations (26.8% saved)

bsearch2.0ms (0%)

Memory
4.2MiB live, 4.2MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
1.9320288651477233e-92
4.237994032138126e-86
1.0ms
-3.395465035930949e-86
-1.1284900595480147e-92
Compiler

Compiled 482 to 353 computations (26.8% saved)

bsearch27.0ms (0.3%)

Memory
-27.1MiB live, 52.8MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
24.0ms
-4.3697559617232956e-308
8.347602174038444e-306
Samples
10.0ms128×0valid
7.0ms52×0invalid
Compiler

Compiled 175 to 124 computations (29.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 4.0ms (34.4% of total)
ival-add: 3.0ms (25.8% of total)
ival-div: 1.0ms (8.6% of total)
ival-sub: 1.0ms (8.6% of total)
ival-sqrt: 1.0ms (8.6% of total)
ival-neg: 1.0ms (8.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch49.0ms (0.5%)

Memory
11.2MiB live, 49.8MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
46.0ms
1.2280366160646215e-286
8.405478724913889e-282
Samples
34.0ms143×0valid
5.0ms72×0invalid
0.0ms1×1valid
Compiler

Compiled 167 to 128 computations (23.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 34.0ms
ival-mult: 28.0ms (82.4% of total)
ival-div: 1.0ms (2.9% of total)
ival-add: 1.0ms (2.9% of total)
ival-sub: 1.0ms (2.9% of total)
ival-sqrt: 1.0ms (2.9% of total)
ival-neg: 1.0ms (2.9% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch52.0ms (0.5%)

Memory
-0.3MiB live, 38.7MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
49.0ms
-2.2457078910851765e-292
-4.3697559617232956e-308
Samples
12.0ms160×0valid
6.0ms80×0invalid
Compiler

Compiled 153 to 130 computations (15% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 5.0ms (42.1% of total)
ival-div: 1.0ms (8.4% of total)
ival-add: 1.0ms (8.4% of total)
ival-sub: 1.0ms (8.4% of total)
ival-sqrt: 1.0ms (8.4% of total)
ival-neg: 1.0ms (8.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

simplify13.0ms (0.1%)

Memory
17.6MiB live, 17.6MiB allocated
Algorithm
1×egg-herbie
Rules
54×*-commutative_binary64
40×+-commutative_binary64
36×sub-neg_binary64
24×neg-sub0_binary64
24×neg-mul-1_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
089287
1128286
2167286
3189286
4201286
5203286
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 b #s(literal -20000000000000001820719981007368700209209079903509731143090914749681805790702668304308360195083224381128704 binary64)) (/.f64 b (neg.f64 a)) (if (<=.f64 b #s(literal 2476978505269277/18347988927920572092886567162416695526372519913346248989900710715095383008707878464560148424881005492436992 binary64)) (fma.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a) #s(literal 1/2 binary64) (/.f64 b (*.f64 a #s(literal -2 binary64)))) (if (<=.f64 b #s(literal 42000000000 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 c a)) (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal -2 binary64)))) (/.f64 c (neg.f64 b)))))
(if (<=.f64 b #s(literal -20000000000000001820719981007368700209209079903509731143090914749681805790702668304308360195083224381128704 binary64)) (/.f64 b (neg.f64 a)) (if (<=.f64 b #s(literal 6054836346213789/36695977855841144185773134324833391052745039826692497979801421430190766017415756929120296849762010984873984 binary64)) (fma.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a) #s(literal 1/2 binary64) (/.f64 b (*.f64 a #s(literal -2 binary64)))) (/.f64 c (neg.f64 b))))
(if (<=.f64 b #s(literal -20000000000000001820719981007368700209209079903509731143090914749681805790702668304308360195083224381128704 binary64)) (/.f64 b (neg.f64 a)) (if (<=.f64 b #s(literal 6054836346213789/36695977855841144185773134324833391052745039826692497979801421430190766017415756929120296849762010984873984 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)) (/.f64 c (neg.f64 b))))
(if (<=.f64 b #s(literal -23000000000000001890124380525025396613745873048098374709407712595540451595694023614516484248012037419958272 binary64)) (/.f64 b (neg.f64 a)) (if (<=.f64 b #s(literal 6054836346213789/36695977855841144185773134324833391052745039826692497979801421430190766017415756929120296849762010984873984 binary64)) (*.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 c (neg.f64 b))))
(if (<=.f64 b #s(literal -3079649020494481/139984046386112763159840142535527767382602843577165595931249318810236991948760059086304843329475444736 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b #s(literal 6054836346213789/36695977855841144185773134324833391052745039826692497979801421430190766017415756929120296849762010984873984 binary64)) (/.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (*.f64 a #s(literal -2 binary64))) (/.f64 c (neg.f64 b))))
(if (<=.f64 b #s(literal -3079649020494481/139984046386112763159840142535527767382602843577165595931249318810236991948760059086304843329475444736 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b #s(literal 6054836346213789/36695977855841144185773134324833391052745039826692497979801421430190766017415756929120296849762010984873984 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c)))) (/.f64 c (neg.f64 b))))
(if (<=.f64 b #s(literal -3079649020494481/139984046386112763159840142535527767382602843577165595931249318810236991948760059086304843329475444736 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b #s(literal 6054836346213789/36695977855841144185773134324833391052745039826692497979801421430190766017415756929120296849762010984873984 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (/.f64 c (neg.f64 b))))
(if (<=.f64 b #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 c (neg.f64 b)))
(if (<=.f64 b #s(literal 5357543035931337/42860344287450692837937001962400072422456192468221344297750015534814042044997444899727935152627834325103786916702125873007485811427692561743938310298794299215738271099296923941684298420249484567511816728612185899934327765069595070236662175784308251658284785910746168670641719326610497547348822672277504 binary64)) (/.f64 b (neg.f64 a)) (/.f64 c (neg.f64 b)))
(if (<=.f64 b #s(literal -4554050699414489/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (/.f64 b (neg.f64 a)) #s(literal 0 binary64))
#s(literal 0 binary64)
Outputs
(if (<=.f64 b #s(literal -20000000000000001820719981007368700209209079903509731143090914749681805790702668304308360195083224381128704 binary64)) (/.f64 b (neg.f64 a)) (if (<=.f64 b #s(literal 2476978505269277/18347988927920572092886567162416695526372519913346248989900710715095383008707878464560148424881005492436992 binary64)) (fma.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a) #s(literal 1/2 binary64) (/.f64 b (*.f64 a #s(literal -2 binary64)))) (if (<=.f64 b #s(literal 42000000000 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 c a)) (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal -2 binary64)))) (/.f64 c (neg.f64 b)))))
(if (<=.f64 b #s(literal -20000000000000001820719981007368700209209079903509731143090914749681805790702668304308360195083224381128704 binary64)) (neg.f64 (/.f64 b a)) (if (<=.f64 b #s(literal 2476978505269277/18347988927920572092886567162416695526372519913346248989900710715095383008707878464560148424881005492436992 binary64)) (fma.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a) #s(literal 1/2 binary64) (/.f64 b (*.f64 a #s(literal -2 binary64)))) (if (<=.f64 b #s(literal 42000000000 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 a c)) (*.f64 (*.f64 a #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) (neg.f64 (/.f64 c b)))))
(if (<=.f64 b #s(literal -20000000000000001820719981007368700209209079903509731143090914749681805790702668304308360195083224381128704 binary64)) (/.f64 b (neg.f64 a)) (if (<=.f64 b #s(literal 6054836346213789/36695977855841144185773134324833391052745039826692497979801421430190766017415756929120296849762010984873984 binary64)) (fma.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a) #s(literal 1/2 binary64) (/.f64 b (*.f64 a #s(literal -2 binary64)))) (/.f64 c (neg.f64 b))))
(if (<=.f64 b #s(literal -20000000000000001820719981007368700209209079903509731143090914749681805790702668304308360195083224381128704 binary64)) (neg.f64 (/.f64 b a)) (if (<=.f64 b #s(literal 6054836346213789/36695977855841144185773134324833391052745039826692497979801421430190766017415756929120296849762010984873984 binary64)) (fma.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a) #s(literal 1/2 binary64) (/.f64 b (*.f64 a #s(literal -2 binary64)))) (neg.f64 (/.f64 c b))))
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(if (<=.f64 b #s(literal -3079649020494481/139984046386112763159840142535527767382602843577165595931249318810236991948760059086304843329475444736 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b #s(literal 6054836346213789/36695977855841144185773134324833391052745039826692497979801421430190766017415756929120296849762010984873984 binary64)) (/.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (*.f64 a #s(literal -2 binary64))) (/.f64 c (neg.f64 b))))
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(if (<=.f64 b #s(literal -4554050699414489/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (/.f64 b (neg.f64 a)) #s(literal 0 binary64))
(if (<=.f64 b #s(literal -4554050699414489/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (neg.f64 (/.f64 b a)) #s(literal 0 binary64))
#s(literal 0 binary64)

soundness1.0s (10.2%)

Memory
-16.0MiB live, 908.8MiB allocated
Rules
11 458×lower-fma.f64
11 458×lower-fma.f32
10 064×lower-fma.f64
10 064×lower-fma.f32
8 834×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
011129888
136809588
081599220
01451
02351
17649
253648
3686448
0815844
05453273
117383232
260833204
082433047
033182
061178
1220169
01838162
0106610700
1345110339
090279933
033178
059174
1227174
21939174
08442172
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
Compiler

Compiled 609 to 302 computations (50.4% saved)

preprocess63.0ms (0.6%)

Memory
12.3MiB live, 129.6MiB allocated
Compiler

Compiled 618 to 202 computations (67.3% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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