quadm (p42, negative)

Time bar (total: 12.2s)

analyze160.0ms (1.3%)

Memory
20.9MiB live, 197.0MiB allocated
Algorithm
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)

sample1.8s (14.9%)

Memory
18.7MiB live, 1 878.1MiB allocated
Samples
592.0ms5 558×0valid
365.0ms1 344×1valid
247.0ms1 185×2valid
72.0ms950×0invalid
43.0ms169×3valid
Precisions
Click to see histograms. Total time spent on operations: 940.0ms
ival-mult: 343.0ms (36.5% of total)
ival-sub: 195.0ms (20.8% of total)
ival-sqrt: 149.0ms (15.9% of total)
ival-div: 97.0ms (10.3% of total)
ival-neg: 69.0ms (7.3% of total)
adjust: 67.0ms (7.1% of total)
exact: 11.0ms (1.2% of total)
ival-true: 6.0ms (0.6% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

preprocess242.0ms (2%)

Memory
5.0MiB live, 196.5MiB allocated
Algorithm
egg-herbie
Rules
1 462×div-sub
1 120×accelerator-lowering-fma.f32
1 120×accelerator-lowering-fma.f64
1 118×unsub-neg
918×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
060175
1201168
2603164
31982160
44332160
55566160
65930160
76062160
86101160
96254160
107251160
117948160
01417
13617
29517
323816
440016
573416
6155116
7203816
8219716
9226716
10227716
11227716
12228316
0228315
Stop Event
iter limit
saturated
node limit
Calls
Call 1
Inputs
(/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a))
Outputs
(/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a))
(/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64)))
Call 2
Inputs
(/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a))
(/ (- (neg b) (sqrt (- (* b b) (* 4 (* (neg a) c))))) (* 2 (neg a)))
(/ (- (neg (neg b)) (sqrt (- (* (neg b) (neg b)) (* 4 (* a c))))) (* 2 a))
(/ (- (neg b) (sqrt (- (* b b) (* 4 (* a (neg c)))))) (* 2 a))
(neg (/ (- (neg b) (sqrt (- (* b b) (* 4 (* (neg a) c))))) (* 2 (neg a))))
(neg (/ (- (neg (neg b)) (sqrt (- (* (neg b) (neg b)) (* 4 (* a c))))) (* 2 a)))
(neg (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a (neg c)))))) (* 2 a)))
(/ (- (neg a) (sqrt (- (* a a) (* 4 (* b c))))) (* 2 b))
(/ (- (neg b) (sqrt (- (* b b) (* 4 (* c a))))) (* 2 c))
(/ (- (neg c) (sqrt (- (* c c) (* 4 (* a b))))) (* 2 a))
Outputs
(/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a))
(* (+ b (sqrt (+ (* b b) (* a (* c -4))))) (/ -1/2 a))
(/ (- (neg b) (sqrt (- (* b b) (* 4 (* (neg a) c))))) (* 2 (neg a)))
(* (+ b (sqrt (+ (* b b) (* 4 (* a c))))) (/ 1/2 a))
(/ (- (neg (neg b)) (sqrt (- (* (neg b) (neg b)) (* 4 (* a c))))) (* 2 a))
(* (- b (sqrt (+ (* b b) (* a (* c -4))))) (/ 1/2 a))
(/ (- (neg b) (sqrt (- (* b b) (* 4 (* a (neg c)))))) (* 2 a))
(* (+ b (sqrt (+ (* b b) (* 4 (* a c))))) (/ -1/2 a))
(neg (/ (- (neg b) (sqrt (- (* b b) (* 4 (* (neg a) c))))) (* 2 (neg a))))
(* (+ b (sqrt (+ (* b b) (* 4 (* a c))))) (/ -1/2 a))
(neg (/ (- (neg (neg b)) (sqrt (- (* (neg b) (neg b)) (* 4 (* a c))))) (* 2 a)))
(* (- b (sqrt (+ (* b b) (* a (* c -4))))) (/ -1/2 a))
(neg (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a (neg c)))))) (* 2 a)))
(* (+ b (sqrt (+ (* b b) (* 4 (* a c))))) (/ 1/2 a))
(/ (- (neg a) (sqrt (- (* a a) (* 4 (* b c))))) (* 2 b))
(* (+ a (sqrt (+ (* a a) (* b (* c -4))))) (/ -1/2 b))
(/ (- (neg b) (sqrt (- (* b b) (* 4 (* c a))))) (* 2 c))
(* (+ b (sqrt (+ (* b b) (* a (* c -4))))) (/ -1/2 c))
(/ (- (neg c) (sqrt (- (* c c) (* 4 (* a b))))) (* 2 a))
(* (+ c (sqrt (+ (* c c) (* b (* a -4))))) (/ -1/2 a))

explain170.0ms (1.4%)

Memory
5.2MiB live, 362.3MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1010-1(3.4691165403889093e-131 1.1736490278085713e-178 -3.842523388240208e-191)(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))
530-0-(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))))
100-1(2.179295418905435e-97 -3.6262761216127463e+161 1.0281019070284404e-62)(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a))
30-0-(-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))
00-0-a
00-0-(*.f64 #s(literal 4 binary64) (*.f64 a c))
00-0-(*.f64 a c)
00-0-#s(literal 4 binary64)
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-b
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
sqrt.f64(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))oflow-rescue960
(*.f64 b b)overflow90
(*.f64 #s(literal 4 binary64) (*.f64 a c))overflow14
(*.f64 a c)overflow14
(-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))overflow96
-.f64(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))))cancellation530
/.f64(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a))u/n90
(*.f64 b b)underflow43
(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))))underflow21
(*.f64 #s(literal 4 binary64) (*.f64 a c))underflow29
(*.f64 a c)underflow29
(-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))underflow4
sqrt.f64(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))uflow-rescue40
(*.f64 b b)underflow43
(*.f64 #s(literal 4 binary64) (*.f64 a c))underflow29
(*.f64 a c)underflow29
(-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))underflow4
-.f64(-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))nan-rescue30
(*.f64 b b)overflow90
(*.f64 #s(literal 4 binary64) (*.f64 a c))overflow14
(*.f64 a c)overflow14
Confusion
Predicted +Predicted -
+1101
-24121
Precision
0.8208955223880597
Recall
0.990990990990991
Confusion?
Predicted +Predicted MaybePredicted -
+11001
-240121
Precision?
0.8208955223880597
Recall?
0.990990990990991
Freqs
test
numberfreq
0122
1105
227
32
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
35.0ms364×0valid
17.0ms66×2valid
16.0ms76×1valid
2.0ms3valid
Compiler

Compiled 184 to 60 computations (67.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 44.0ms
ival-mult: 17.0ms (38.8% of total)
ival-sub: 9.0ms (20.6% of total)
ival-div: 5.0ms (11.4% of total)
ival-sqrt: 5.0ms (11.4% of total)
adjust: 3.0ms (6.9% of total)
ival-neg: 3.0ms (6.9% of total)
exact: 1.0ms (2.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory
1.9MiB live, 1.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
58.7%
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a))
Compiler

Compiled 20 to 14 computations (30% saved)

simplify95.0ms (0.8%)

Memory
-15.8MiB live, 83.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))
cost-diff0
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))
cost-diff0
(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))))
cost-diff128
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a))
Rules
1 120×accelerator-lowering-fma.f32
1 120×accelerator-lowering-fma.f64
744×*-lowering-*.f32
744×*-lowering-*.f64
446×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01470
13670
29570
323869
440069
573469
6155169
7203869
8219769
9226769
10227769
11227769
12228369
0228365
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a))
(- (neg b) (sqrt (- (* b b) (* 4 (* a c)))))
(neg b)
b
(sqrt (- (* b b) (* 4 (* a c))))
(- (* b b) (* 4 (* a c)))
(* b b)
(* 4 (* a c))
4
(* a c)
a
c
(* 2 a)
2
Outputs
(/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a))
(/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64)))
(- (neg b) (sqrt (- (* b b) (* 4 (* a c)))))
(-.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))
(neg b)
(-.f64 #s(literal 0 binary64) b)
b
(sqrt (- (* b b) (* 4 (* a c))))
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))
(- (* b b) (* 4 (* a c)))
(+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))
(* b b)
(*.f64 b b)
(* 4 (* a c))
(*.f64 #s(literal 4 binary64) (*.f64 a c))
4
#s(literal 4 binary64)
(* a c)
(*.f64 a c)
a
c
(* 2 a)
(*.f64 a #s(literal 2 binary64))
2
#s(literal 2 binary64)

localize49.0ms (0.4%)

Memory
-18.2MiB live, 98.6MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy99.1%
(-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))
accuracy96.6%
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a))
accuracy80.6%
(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))))
accuracy63.3%
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))
Samples
18.0ms182×0valid
8.0ms33×2valid
6.0ms38×1valid
1.0ms3valid
Compiler

Compiled 72 to 16 computations (77.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-mult: 7.0ms (34.4% of total)
ival-sub: 5.0ms (24.6% of total)
ival-sqrt: 3.0ms (14.8% of total)
ival-div: 2.0ms (9.8% of total)
ival-neg: 2.0ms (9.8% of total)
adjust: 1.0ms (4.9% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series22.0ms (0.2%)

Memory
-1.2MiB live, 41.0MiB allocated
Counts
4 → 144
Calls
Call 1
Inputs
#<alt (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a))>
#<alt (- (neg b) (sqrt (- (* b b) (* 4 (* a c)))))>
#<alt (sqrt (- (* b b) (* 4 (* a c))))>
#<alt (- (* b b) (* 4 (* a c)))>
Outputs
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))>
#<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 (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))>
#<alt (* -1 (/ b a))>
#<alt (* b (- (/ c (pow b 2)) (/ 1 a)))>
#<alt (* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))>
#<alt (* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))>
#<alt (* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))>
#<alt (* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))>
#<alt (* -1 (/ b a))>
#<alt (/ (+ (* -1 b) (/ (* a c) b)) a)>
#<alt (/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)>
#<alt (/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)>
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1 (/ b a))>
#<alt (+ (* -1 (/ b a)) (/ c b))>
#<alt (+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))>
#<alt (+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))>
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))>
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))>
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)))))>
#<alt (* -1 (* (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 b)>
#<alt (* b (- (* 2 (/ (* a c) (pow b 2))) 2))>
#<alt (* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2))))))>
#<alt (* 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)))))))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -1 (/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) 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 (/ (- (* 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))>
#<alt (* -2 b)>
#<alt (- (* 2 (/ (* a c) b)) (* 2 b))>
#<alt (- (* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) (* 2 b))>
#<alt (- (* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) (* 2 b))>
#<alt (* -1 (* (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 (- (/ b a) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<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 b)>
#<alt (- (* 2 (/ (* a c) b)) (* 2 b))>
#<alt (- (* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) (* 2 b))>
#<alt (- (* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) (* 2 b))>
#<alt (* -1 (* (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 (- (/ b c) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<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 (* (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))))))))>
#<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))))>
Calls

36 calls:

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

rewrite296.0ms (2.4%)

Memory
-3.0MiB live, 551.5MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 318×accelerator-lowering-fma.f32
5 318×accelerator-lowering-fma.f64
4 626×*-lowering-*.f32
4 626×*-lowering-*.f64
3 036×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01449
17249
258247
0809643
Stop Event
iter limit
node limit
Counts
4 → 484
Calls
Call 1
Inputs
(/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a))
(- (neg b) (sqrt (- (* b b) (* 4 (* a c)))))
(sqrt (- (* b b) (* 4 (* a c))))
(- (* b b) (* 4 (* a c)))
Outputs
(+.f64 (/.f64 b (*.f64 a #s(literal 2 binary64))) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64))))
(+.f64 (/.f64 b (*.f64 a #s(literal 2 binary64))) (*.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64)))))
(+.f64 (/.f64 b (*.f64 a #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))))
(+.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64))) (/.f64 b (*.f64 a #s(literal 2 binary64))))
(+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (/.f64 b (*.f64 a #s(literal 2 binary64))))
(+.f64 (*.f64 (/.f64 b (*.f64 a #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 a (/.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(-.f64 (/.f64 b (*.f64 a #s(literal 2 binary64))) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal 2 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 b (*.f64 b b)) (+.f64 (+.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) (*.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (*.f64 a #s(literal 2 binary64))) (/.f64 (/.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (+.f64 (*.f64 b b) (+.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (*.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))))) (*.f64 a #s(literal 2 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 b b) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (*.f64 a #s(literal 2 binary64))) (/.f64 (/.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (*.f64 a #s(literal 2 binary64))))
(-.f64 (/.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 b b) (+.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (*.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))))))) (/.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (*.f64 a (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 b b) (+.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (*.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))))))))
(-.f64 (/.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal 2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))))) (/.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (*.f64 a (*.f64 #s(literal 2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))))))
(-.f64 (/.f64 (*.f64 b (*.f64 a #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (*.f64 a a))) (/.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (*.f64 a a))))
(-.f64 (/.f64 (*.f64 (/.f64 b (*.f64 a #s(literal 2 binary64))) (/.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a a)))) (+.f64 (+.f64 (/.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a a))) (/.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (*.f64 #s(literal 4 binary64) (*.f64 a a)))) (/.f64 (*.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 #s(literal 4 binary64) (*.f64 a a))))) (/.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal 2 binary64))) (/.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (*.f64 #s(literal 4 binary64) (*.f64 a a)))) (+.f64 (+.f64 (/.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a a))) (/.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (*.f64 #s(literal 4 binary64) (*.f64 a a)))) (/.f64 (*.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 #s(literal 4 binary64) (*.f64 a a))))))
(-.f64 (/.f64 (/.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a a))) (/.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64)))) (/.f64 (/.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (*.f64 #s(literal 4 binary64) (*.f64 a a))) (/.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64)))))
(fma.f64 b (/.f64 #s(literal 1/2 binary64) a) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64))))
(fma.f64 b (/.f64 #s(literal 1/2 binary64) a) (*.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64)))))
(fma.f64 b (/.f64 #s(literal 1/2 binary64) a) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))))
(fma.f64 b (/.f64 #s(literal -1/2 binary64) a) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64))))
(fma.f64 b (/.f64 #s(literal -1/2 binary64) a) (*.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64)))))
(fma.f64 b (/.f64 #s(literal -1/2 binary64) a) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))))
(fma.f64 b (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) a)) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64))))
(fma.f64 b (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) a)) (*.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64)))))
(fma.f64 b (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) a)) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))))
(fma.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (/.f64 #s(literal -1/2 binary64) a) (/.f64 b (*.f64 a #s(literal 2 binary64))))
(fma.f64 (/.f64 b (*.f64 a #s(literal 2 binary64))) #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64))) #s(literal 1 binary64)))
(fma.f64 (/.f64 b (*.f64 a #s(literal 2 binary64))) #s(literal -1 binary64) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64))))
(fma.f64 (/.f64 b (*.f64 a #s(literal 2 binary64))) #s(literal -1 binary64) (*.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64)))))
(fma.f64 (/.f64 b (*.f64 a #s(literal 2 binary64))) #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))))
(fma.f64 #s(literal 1 binary64) (/.f64 b (*.f64 a #s(literal 2 binary64))) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 b (*.f64 a #s(literal 2 binary64))) (*.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 b (*.f64 a #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) a) b (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) a) b (*.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64)))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) a) b (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (/.f64 b (*.f64 a #s(literal 2 binary64))))
(fma.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (/.f64 #s(literal 1/2 binary64) a) (/.f64 b (*.f64 a #s(literal 2 binary64))))
(fma.f64 #s(literal -1 binary64) (/.f64 b (*.f64 a #s(literal 2 binary64))) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64))))
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(*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))
(*.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) #s(literal -64 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 a c)) (+.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))))))
(*.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 a c)) (+.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 a c)) (+.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))))))
(*.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 a c)) (+.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (/.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 a c)) (+.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))))))
(*.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
(*.f64 #s(literal -1 binary64) (+.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))
(*.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 c (*.f64 a c))) #s(literal -16 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))))
(*.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))) (*.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))))
(*.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))) (/.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (+.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))))
(*.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 #s(literal 64 binary64) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 a c)) (+.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))))))
(*.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 c (*.f64 (*.f64 a c) #s(literal 16 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 a c)) (+.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))))) (+.f64 (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) #s(literal -64 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 c (*.f64 a c))) #s(literal -16 binary64))))
(*.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal 1/4 binary64)) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
(*.f64 (pow.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) #s(literal -64 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 a c)) (+.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 c (*.f64 a c))) #s(literal -16 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) #s(literal 1 binary64)))
(*.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (pow.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal 1/4 binary64))) (pow.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) #s(literal -1 binary64)) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))
(*.f64 (/.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 c (*.f64 a c))) #s(literal -16 binary64))) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 c (*.f64 a c))) #s(literal -16 binary64)))) (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))
(*.f64 (/.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 c (*.f64 a c))) #s(literal -16 binary64))) (+.f64 (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 #s(literal 64 binary64) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c))))))) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 a c)) (+.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))))
(*.f64 (/.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) #s(literal -64 binary64))) (+.f64 (*.f64 (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b)))))) (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 a c)) (+.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) (*.f64 (*.f64 a (*.f64 c (*.f64 (*.f64 a c) #s(literal 16 binary64)))) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 c (*.f64 (*.f64 a c) #s(literal 16 binary64))))))))) (+.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b)))))) (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 a c)) (+.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) (-.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 a c)) (+.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) (*.f64 b (*.f64 b (*.f64 b b)))))))
(*.f64 (/.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) #s(literal -64 binary64))) (-.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b)))))) (*.f64 (*.f64 a (*.f64 c (*.f64 (*.f64 a c) #s(literal 16 binary64)))) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 c (*.f64 (*.f64 a c) #s(literal 16 binary64)))))))) (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 a c)) (+.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))))

simplify520.0ms (4.2%)

Memory
-20.7MiB live, 597.1MiB allocated
Algorithm
egg-herbie
Rules
9 868×accelerator-lowering-fma.f32
9 868×accelerator-lowering-fma.f64
7 984×*-lowering-*.f32
7 984×*-lowering-*.f64
2 264×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05453114
117183085
257523046
081142886
Stop Event
iter limit
node limit
Counts
144 → 144
Calls
Call 1
Inputs
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ 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)))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))
(* -1 (/ b a))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))
(* -1 (/ c b))
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))
(* -1 (/ b a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -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)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (/ b a))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))
(* (sqrt (/ c a)) (sqrt -1))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)))))
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(- (* -1 b) (* (sqrt (* a c)) (sqrt -4)))
(- (* b (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(- (* b (- (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(* -2 b)
(* b (- (* 2 (/ (* a c) (pow b 2))) 2))
(* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -2 (/ (* a c) b))
(* -1 (/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) b))
(* -1 (/ (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))
(* -1 (/ (- (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b))
(* -2 b)
(- (* 2 (/ (* a c) b)) (* 2 b))
(- (* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) (* 2 b))
(- (* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) (* 2 b))
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))
(* a (- (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))))
(* 2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (- (/ b a) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -2 b)
(- (* 2 (/ (* a c) b)) (* 2 b))
(- (* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) (* 2 b))
(- (* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) (* 2 b))
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(* 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 (- (/ b c) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* (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))))))))
(* -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))))
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 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(*.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)))))
(+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -1/2 binary64))) (*.f64 b (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 a a))))) (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) (/.f64 #s(literal -1/2 binary64) a))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))
(+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -1/2 binary64))) (*.f64 b (+.f64 (*.f64 b (+.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 a a)))))) (sqrt.f64 #s(literal -4 binary64))) (*.f64 #s(literal -1/64 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (*.f64 c (*.f64 c c)))) (*.f64 b b)) (sqrt.f64 #s(literal -4 binary64)))))) (/.f64 #s(literal -1/2 binary64) a))))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a)))
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))
(*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (+.f64 (/.f64 (*.f64 a (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b))) (/.f64 #s(literal -1 binary64) a))))
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))
(*.f64 b (+.f64 (+.f64 (/.f64 c (*.f64 b b)) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))) (+.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 6 binary64)))) (/.f64 #s(literal -1 binary64) a))))
(* -1 (/ c b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))
(/.f64 (+.f64 c (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b))
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))
(/.f64 (+.f64 c (+.f64 (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 c (*.f64 c (*.f64 c (*.f64 a a))))) (*.f64 (*.f64 b b) (*.f64 b b))))) (-.f64 #s(literal 0 binary64) b))
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))
(/.f64 (+.f64 (+.f64 (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 c (*.f64 c (*.f64 c (*.f64 a a))))) (*.f64 (*.f64 b b) (*.f64 b b)))) (+.f64 c (*.f64 (*.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)))) (/.f64 #s(literal 1/4 binary64) a)))) (-.f64 #s(literal 0 binary64) b))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/.f64 (-.f64 (/.f64 (*.f64 c a) b) b) a)
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/.f64 (-.f64 (*.f64 a (*.f64 c (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (*.f64 c (/.f64 a (*.f64 b b))) b)))) b) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)
(/.f64 (-.f64 (*.f64 a (+.f64 (/.f64 c b) (*.f64 a (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 c (*.f64 a (*.f64 c c)))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))))))) b) a)
(* -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 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(*.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))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 b a))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 a a))))) (/.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64))))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 b a))) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 a a))))) (/.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64))))) (*.f64 #s(literal -1/64 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 b b) (*.f64 b b))) (sqrt.f64 #s(literal -4 binary64))))))
(* (sqrt (/ c a)) (sqrt -1))
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b a)) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (+.f64 (*.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 b #s(literal 1/2 binary64))) a))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (-.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 c c))))) (*.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/128 binary64))) (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 (/.f64 a c))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/8 binary64)))) a)) a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(+ (* -1 (/ b a)) (/ c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))
(-.f64 (*.f64 c (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (*.f64 c (/.f64 a (*.f64 b b))) b))) (/.f64 b a))
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))
(-.f64 (*.f64 c (+.f64 (/.f64 #s(literal 1 binary64) b) (*.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 b a))
(* -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 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))
(*.f64 (*.f64 c #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 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))
(*.f64 c (+.f64 (*.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)))) (*.f64 (/.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 a a)) (*.f64 c (*.f64 c c)))))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))
(*.f64 c (+.f64 (+.f64 (*.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)))) (*.f64 (/.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 a a)) (*.f64 c (*.f64 c c)))))) (*.f64 #s(literal -1/64 binary64) (/.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 5 binary64))))) (sqrt.f64 #s(literal -4 binary64))))))
(* (sqrt (/ c a)) (sqrt -1))
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 b (*.f64 c a))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))))) (-.f64 #s(literal 0 binary64) c))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))
(*.f64 c (+.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b a)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 a a))))) (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/8 binary64)))) c)))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)))))
(*.f64 c (+.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b a)) (/.f64 (+.f64 (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 c (*.f64 a (*.f64 a a)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (pow.f64 a #s(literal 5 binary64))))) (*.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/128 binary64)))) c)) c)))
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(*.f64 (sqrt.f64 (*.f64 c a)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -4 binary64))))
(- (* -1 b) (* (sqrt (* a c)) (sqrt -4)))
(-.f64 (-.f64 #s(literal 0 binary64) b) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))))
(- (* b (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(-.f64 (*.f64 b (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 b (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))))))) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))))
(- (* 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)))
(-.f64 (*.f64 b (+.f64 #s(literal -1 binary64) (*.f64 b (+.f64 (*.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 a a)) (*.f64 c (*.f64 c c))))) #s(literal -1/32 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (sqrt.f64 #s(literal -4 binary64))))))) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))))
(* -2 b)
(*.f64 b #s(literal -2 binary64))
(* b (- (* 2 (/ (* a c) (pow b 2))) 2))
(*.f64 b (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 c (/.f64 a (*.f64 b b))))))
(* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(*.f64 b (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 c (/.f64 a (*.f64 b b))) (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 (*.f64 b b) (*.f64 b b)))))))
(* 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)))))))
(*.f64 b (+.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 a (*.f64 a a))) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 6 binary64)))) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 c (/.f64 a (*.f64 b b))) (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 (*.f64 b b) (*.f64 b b)))))))
(* -2 (/ (* a c) b))
(/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b)
(* -1 (/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) b))
(/.f64 (*.f64 #s(literal -2 binary64) (+.f64 (*.f64 c a) (/.f64 (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) 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 #s(literal 0 binary64) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 a (*.f64 a a))) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))) (*.f64 #s(literal -2 binary64) (+.f64 (*.f64 c a) (/.f64 (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) b) b)))) b))
(* -1 (/ (- (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b))
(/.f64 (+.f64 (-.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 a (*.f64 a a))) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))) (*.f64 #s(literal -2 binary64) (+.f64 (*.f64 c a) (/.f64 (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) b) b)))) (*.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)))))) (-.f64 #s(literal 0 binary64) b))
(* -2 b)
(*.f64 b #s(literal -2 binary64))
(- (* 2 (/ (* a c) b)) (* 2 b))
(*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (*.f64 c a) b) b))
(- (* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) (* 2 b))
(+.f64 (*.f64 a (*.f64 #s(literal 2 binary64) (*.f64 c (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (*.f64 c (/.f64 a (*.f64 b b))) b))))) (*.f64 b #s(literal -2 binary64)))
(- (* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) (* 2 b))
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b
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(*.f64 c (+.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b b) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 c c))))))) (sqrt.f64 #s(literal -4 binary64)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(*.f64 c (+.f64 (+.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b b) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 c c))))))) (sqrt.f64 #s(literal -4 binary64)))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 a a)) (pow.f64 c #s(literal 5 binary64))))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/32 binary64))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(*.f64 c (+.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 a a)) (pow.f64 c #s(literal 5 binary64))))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/32 binary64)) (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b b) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 c c))))))) (sqrt.f64 #s(literal -4 binary64))) (+.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c))) (*.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 binary64))))))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (sqrt.f64 (*.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -2 binary64)))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(*.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 c c)))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)))) (-.f64 #s(literal 0 binary64) c))
(* -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)))))))
(*.f64 (+.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 c c)))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 a a)) (pow.f64 c #s(literal 5 binary64)))) (*.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/64 binary64)))) (-.f64 #s(literal 0 binary64) c))
(* -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))))))))
(*.f64 (+.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 c c)))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)))) (+.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 a a)) (pow.f64 c #s(literal 5 binary64)))) (*.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/64 binary64))) (*.f64 #s(literal 1/512 binary64) (*.f64 (*.f64 (pow.f64 b #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 binary64)))))))) (-.f64 #s(literal 0 binary64) c))
(* -4 (* a c))
(*.f64 c (*.f64 a #s(literal -4 binary64)))
(- (pow b 2) (* 4 (* a c)))
(+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))
(- (pow b 2) (* 4 (* a c)))
(+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))
(- (pow b 2) (* 4 (* a c)))
(+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (*.f64 c (/.f64 a (*.f64 b b))))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (*.f64 c (/.f64 a (*.f64 b b))))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (*.f64 c (/.f64 a (*.f64 b b))))))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (*.f64 c (/.f64 a (*.f64 b b))))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (*.f64 c (/.f64 a (*.f64 b b))))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (*.f64 c (/.f64 a (*.f64 b b))))))
(pow b 2)
(*.f64 b b)
(+ (* -4 (* a c)) (pow b 2))
(+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))
(+ (* -4 (* a c)) (pow b 2))
(+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))
(+ (* -4 (* a c)) (pow b 2))
(+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))
(* -4 (* a c))
(*.f64 c (*.f64 a #s(literal -4 binary64)))
(* a (- (/ (pow b 2) a) (* 4 c)))
(*.f64 a (+.f64 (/.f64 (*.f64 b b) a) (*.f64 c #s(literal -4 binary64))))
(* a (- (/ (pow b 2) a) (* 4 c)))
(*.f64 a (+.f64 (/.f64 (*.f64 b b) a) (*.f64 c #s(literal -4 binary64))))
(* a (- (/ (pow b 2) a) (* 4 c)))
(*.f64 a (+.f64 (/.f64 (*.f64 b b) a) (*.f64 c #s(literal -4 binary64))))
(* -4 (* a c))
(*.f64 c (*.f64 a #s(literal -4 binary64)))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
(*.f64 a (+.f64 (/.f64 (*.f64 b b) a) (*.f64 c #s(literal -4 binary64))))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
(*.f64 a (+.f64 (/.f64 (*.f64 b b) a) (*.f64 c #s(literal -4 binary64))))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
(*.f64 a (+.f64 (/.f64 (*.f64 b b) a) (*.f64 c #s(literal -4 binary64))))
(pow b 2)
(*.f64 b b)
(+ (* -4 (* a c)) (pow b 2))
(+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))
(+ (* -4 (* a c)) (pow b 2))
(+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))
(+ (* -4 (* a c)) (pow b 2))
(+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))
(* -4 (* a c))
(*.f64 c (*.f64 a #s(literal -4 binary64)))
(* c (- (/ (pow b 2) c) (* 4 a)))
(*.f64 c (+.f64 (/.f64 (*.f64 b b) c) (*.f64 a #s(literal -4 binary64))))
(* c (- (/ (pow b 2) c) (* 4 a)))
(*.f64 c (+.f64 (/.f64 (*.f64 b b) c) (*.f64 a #s(literal -4 binary64))))
(* c (- (/ (pow b 2) c) (* 4 a)))
(*.f64 c (+.f64 (/.f64 (*.f64 b b) c) (*.f64 a #s(literal -4 binary64))))
(* -4 (* a c))
(*.f64 c (*.f64 a #s(literal -4 binary64)))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(*.f64 c (+.f64 (/.f64 (*.f64 b b) c) (*.f64 a #s(literal -4 binary64))))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(*.f64 c (+.f64 (/.f64 (*.f64 b b) c) (*.f64 a #s(literal -4 binary64))))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(*.f64 c (+.f64 (/.f64 (*.f64 b b) c) (*.f64 a #s(literal -4 binary64))))

eval95.0ms (0.8%)

Memory
30.5MiB live, 144.4MiB allocated
Compiler

Compiled 25 395 to 2 229 computations (91.2% saved)

prune139.0ms (1.1%)

Memory
-13.2MiB live, 185.6MiB allocated
Pruning

18 alts after pruning (18 fresh and 0 done)

PrunedKeptTotal
New61018628
Fresh000
Picked101
Done000
Total61118629
Accuracy
96.1%
Counts
629 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
58.2%
(fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64))))
26.2%
(/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b) (*.f64 #s(literal 2 binary64) a))
40.6%
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 2 binary64) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))))
32.7%
(/.f64 (-.f64 (*.f64 (/.f64 b #s(literal 2 binary64)) a) (*.f64 a (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) #s(literal 2 binary64)))) (*.f64 a a))
48.6%
(/.f64 (-.f64 (neg.f64 b) (/.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a))
57.7%
(/.f64 (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (*.f64 #s(literal 2 binary64) a))
10.2%
(/.f64 (-.f64 (neg.f64 b) (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 c (/.f64 a (*.f64 b b))))))) (*.f64 #s(literal 2 binary64) a))
37.6%
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (*.f64 c (/.f64 a (*.f64 b b)))))))) (*.f64 #s(literal 2 binary64) a))
40.8%
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))
53.6%
(/.f64 (-.f64 (neg.f64 b) (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (*.f64 #s(literal 2 binary64) a))
25.2%
(/.f64 (+.f64 c (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b))
40.7%
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))))
38.3%
(-.f64 (/.f64 c b) (/.f64 b a))
31.1%
(-.f64 #s(literal 0 binary64) (/.f64 c b))
38.5%
(-.f64 #s(literal 0 binary64) (/.f64 b a))
31.2%
(*.f64 (/.f64 (/.f64 (+.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) (*.f64 a #s(literal 2 binary64))) (+.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
58.2%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
37.3%
(*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a)))
Compiler

Compiled 742 to 474 computations (36.1% saved)

simplify359.0ms (2.9%)

Memory
6.5MiB live, 368.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 b #s(literal 2 binary64))
cost-diff0
(*.f64 (/.f64 b #s(literal 2 binary64)) a)
cost-diff256
(-.f64 (*.f64 (/.f64 b #s(literal 2 binary64)) a) (*.f64 a (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) #s(literal 2 binary64))))
cost-diff256
(/.f64 (-.f64 (*.f64 (/.f64 b #s(literal 2 binary64)) a) (*.f64 a (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) #s(literal 2 binary64)))) (*.f64 a a))
cost-diff0
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))
cost-diff0
(-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))
cost-diff0
(/.f64 a (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
cost-diff0
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))))
cost-diff0
(*.f64 a #s(literal -2 binary64))
cost-diff0
(*.f64 c (*.f64 a #s(literal -2 binary64)))
cost-diff0
(/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b)
cost-diff384
(/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b) (*.f64 #s(literal 2 binary64) a))
cost-diff0
(/.f64 b a)
cost-diff0
(-.f64 #s(literal 0 binary64) (/.f64 b a))
cost-diff0
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))
cost-diff0
(+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))
cost-diff0
(/.f64 #s(literal -1/2 binary64) a)
cost-diff0
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
Rules
8 004×accelerator-lowering-fma.f32
8 004×accelerator-lowering-fma.f64
4 574×*-lowering-*.f32
4 574×*-lowering-*.f64
1 776×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034295
181293
2218287
3606284
41461284
53545284
65505284
08135269
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(* (/ -1/2 a) (+ b (sqrt (+ (* b b) (* c (* a -4))))))
(/ -1/2 a)
-1/2
a
(+ b (sqrt (+ (* b b) (* c (* a -4)))))
b
(sqrt (+ (* b b) (* c (* a -4))))
(+ (* b b) (* c (* a -4)))
(* b b)
(* c (* a -4))
c
(* a -4)
-4
(- 0 (/ b a))
0
(/ b a)
b
a
(/ (/ (* c (* a -2)) b) (* 2 a))
(/ (* c (* a -2)) b)
(* c (* a -2))
c
(* a -2)
a
-2
b
(* 2 a)
2
(/ 1/2 (/ a (- b (sqrt (+ (* b b) (* c (* a -4)))))))
1/2
(/ a (- b (sqrt (+ (* b b) (* c (* a -4))))))
a
(- b (sqrt (+ (* b b) (* c (* a -4)))))
b
(sqrt (+ (* b b) (* c (* a -4))))
(+ (* b b) (* c (* a -4)))
(* b b)
(* c (* a -4))
c
(* a -4)
-4
(/ (- (* (/ b 2) a) (* a (/ (sqrt (+ (* b b) (* c (* a -4)))) 2))) (* a a))
(- (* (/ b 2) a) (* a (/ (sqrt (+ (* b b) (* c (* a -4)))) 2)))
(* (/ b 2) a)
(/ b 2)
b
2
a
(* a (/ (sqrt (+ (* b b) (* c (* a -4)))) 2))
(/ (sqrt (+ (* b b) (* c (* a -4)))) 2)
(sqrt (+ (* b b) (* c (* a -4))))
(+ (* b b) (* c (* a -4)))
(* b b)
(* c (* a -4))
c
(* a -4)
-4
(* a a)
Outputs
(* (/ -1/2 a) (+ b (sqrt (+ (* b b) (* c (* a -4))))))
(/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))) a)
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
-1/2
#s(literal -1/2 binary64)
a
(+ b (sqrt (+ (* b b) (* c (* a -4)))))
(+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))
b
(sqrt (+ (* b b) (* c (* a -4))))
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))
(+ (* b b) (* c (* a -4)))
(+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))
(* b b)
(*.f64 b b)
(* c (* a -4))
(*.f64 a (*.f64 c #s(literal -4 binary64)))
c
(* a -4)
(*.f64 a #s(literal -4 binary64))
-4
#s(literal -4 binary64)
(- 0 (/ b a))
(/.f64 b (-.f64 #s(literal 0 binary64) a))
0
#s(literal 0 binary64)
(/ b a)
(/.f64 b a)
b
a
(/ (/ (* c (* a -2)) b) (* 2 a))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(/ (* c (* a -2)) b)
(/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b)
(* c (* a -2))
(*.f64 a (*.f64 c #s(literal -2 binary64)))
c
(* a -2)
(*.f64 a #s(literal -2 binary64))
a
-2
#s(literal -2 binary64)
b
(* 2 a)
(*.f64 a #s(literal 2 binary64))
2
#s(literal 2 binary64)
(/ 1/2 (/ a (- b (sqrt (+ (* b b) (* c (* a -4)))))))
(/.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (*.f64 a #s(literal 2 binary64)))
1/2
#s(literal 1/2 binary64)
(/ a (- b (sqrt (+ (* b b) (* c (* a -4))))))
(/.f64 a (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))
a
(- b (sqrt (+ (* b b) (* c (* a -4)))))
(-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))
b
(sqrt (+ (* b b) (* c (* a -4))))
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))
(+ (* b b) (* c (* a -4)))
(+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))
(* b b)
(*.f64 b b)
(* c (* a -4))
(*.f64 a (*.f64 c #s(literal -4 binary64)))
c
(* a -4)
(*.f64 a #s(literal -4 binary64))
-4
#s(literal -4 binary64)
(/ (- (* (/ b 2) a) (* a (/ (sqrt (+ (* b b) (* c (* a -4)))) 2))) (* a a))
(/.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (*.f64 a #s(literal 2 binary64)))
(- (* (/ b 2) a) (* a (/ (sqrt (+ (* b b) (* c (* a -4)))) 2)))
(*.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (/.f64 a #s(literal 2 binary64)))
(* (/ b 2) a)
(/.f64 (*.f64 a b) #s(literal 2 binary64))
(/ b 2)
(/.f64 b #s(literal 2 binary64))
b
2
#s(literal 2 binary64)
a
(* a (/ (sqrt (+ (* b b) (* c (* a -4)))) 2))
(*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 a #s(literal 2 binary64)))
(/ (sqrt (+ (* b b) (* c (* a -4)))) 2)
(/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) #s(literal 2 binary64))
(sqrt (+ (* b b) (* c (* a -4))))
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))
(+ (* b b) (* c (* a -4)))
(+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))
(* b b)
(*.f64 b b)
(* c (* a -4))
(*.f64 a (*.f64 c #s(literal -4 binary64)))
c
(* a -4)
(*.f64 a #s(literal -4 binary64))
-4
#s(literal -4 binary64)
(* a a)
(*.f64 a a)

localize289.0ms (2.4%)

Memory
18.2MiB live, 211.5MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy99.1%
(+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))
accuracy79.1%
(-.f64 (*.f64 (/.f64 b #s(literal 2 binary64)) a) (*.f64 a (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) #s(literal 2 binary64))))
accuracy63.3%
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))
accuracy60.3%
(/.f64 (-.f64 (*.f64 (/.f64 b #s(literal 2 binary64)) a) (*.f64 a (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) #s(literal 2 binary64)))) (*.f64 a a))
accuracy99.1%
(+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))
accuracy95.3%
(/.f64 a (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
accuracy75.6%
(-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))
accuracy63.3%
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))
accuracy100.0%
(*.f64 a #s(literal -2 binary64))
accuracy100.0%
(*.f64 #s(literal 2 binary64) a)
accuracy93.6%
(/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b)
accuracy88.1%
(/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b) (*.f64 #s(literal 2 binary64) a))
accuracy100.0%
(/.f64 b a)
accuracy100.0%
(-.f64 #s(literal 0 binary64) (/.f64 b a))
accuracy99.1%
(+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))
accuracy96.1%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
accuracy80.6%
(+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))
accuracy63.3%
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))
Samples
60.0ms88×1valid
59.0ms60×2valid
20.0ms89×0valid
14.0ms19×3valid
Compiler

Compiled 306 to 36 computations (88.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 91.0ms
ival-sub: 30.0ms (33% of total)
ival-div: 22.0ms (24.2% of total)
ival-mult: 22.0ms (24.2% of total)
adjust: 8.0ms (8.8% of total)
ival-add: 5.0ms (5.5% of total)
ival-sqrt: 4.0ms (4.4% of total)
exact: 1.0ms (1.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series63.0ms (0.5%)

Memory
-2.9MiB live, 114.7MiB allocated
Counts
19 → 540
Calls
Call 1
Inputs
#<alt (* (/ -1/2 a) (+ b (sqrt (+ (* b b) (* c (* a -4))))))>
#<alt (/ -1/2 a)>
#<alt (+ b (sqrt (+ (* b b) (* c (* a -4)))))>
#<alt (sqrt (+ (* b b) (* c (* a -4))))>
#<alt (- 0 (/ b a))>
#<alt (/ b a)>
#<alt (/ (/ (* c (* a -2)) b) (* 2 a))>
#<alt (/ (* c (* a -2)) b)>
#<alt (* c (* a -2))>
#<alt (* a -2)>
#<alt (/ 1/2 (/ a (- b (sqrt (+ (* b b) (* c (* a -4)))))))>
#<alt (/ a (- b (sqrt (+ (* b b) (* c (* a -4))))))>
#<alt (- b (sqrt (+ (* b b) (* c (* a -4)))))>
#<alt (/ (- (* (/ b 2) a) (* a (/ (sqrt (+ (* b b) (* c (* a -4)))) 2))) (* a a))>
#<alt (- (* (/ b 2) a) (* a (/ (sqrt (+ (* b b) (* c (* a -4)))) 2)))>
#<alt (* (/ b 2) a)>
#<alt (/ b 2)>
#<alt (+ (* b b) (* c (* a -4)))>
#<alt (* 2 a)>
Outputs
#<alt (* -1 (/ b a))>
#<alt (/ (+ (* -1 b) (/ (* a c) b)) a)>
#<alt (/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)>
#<alt (/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)>
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))>
#<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 (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))>
#<alt (* -1 (/ b a))>
#<alt (* b (- (/ c (pow b 2)) (/ 1 a)))>
#<alt (* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))>
#<alt (* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))>
#<alt (* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))>
#<alt (* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))>
#<alt (* -1 (/ b a))>
#<alt (+ (* -1 (/ b a)) (/ c b))>
#<alt (+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))>
#<alt (+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))>
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))>
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))>
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)))))>
#<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 (* (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) (* 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))))))>
#<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 (* (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 (* 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))))))))>
#<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 (* -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 (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<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))>
#<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))>
#<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))>
#<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 (* -2 (/ (* a c) b))>
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#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (+ (* 1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ (* -1/2 b) (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* -1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (/ c b)>
#<alt (* c (+ (/ 1 b) (/ (* a c) (pow b 3))))>
#<alt (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))>
#<alt (* c (+ (* c (+ (* c (+ (* 1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))) (* 2 (/ (pow a 2) (pow b 5))))) (/ a (pow b 3)))) (/ 1 b)))>
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* 1/2 (/ b (* a c)))))>
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (/ b (* a c))))))>
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (* 1/2 (/ b (* a c)))))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1/2 (/ b (* a c))))))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 1/2 (/ b a))) c)))))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* 1/2 (/ b a))) c)))))>
#<alt (* -1/2 (* (sqrt (* (pow a 3) c)) (sqrt -4)))>
#<alt (- (* 1/2 (* a b)) (* 1/2 (* (sqrt (* (pow a 3) c)) (sqrt -4))))>
#<alt (- (* b (+ (* -1/4 (* (sqrt (/ a c)) (/ b (sqrt -4)))) (* 1/2 a))) (* 1/2 (* (sqrt (* (pow a 3) c)) (sqrt -4))))>
#<alt (- (* b (+ (* 1/2 a) (* b (- (* 1/16 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))))))) (* 1/2 (* (sqrt (* (pow a 3) c)) (sqrt -4))))>
#<alt (/ (* (pow a 2) c) b)>
#<alt (/ (- (/ (* (pow a 3) (pow c 2)) (pow b 2)) (* -1 (* (pow a 2) c))) b)>
#<alt (/ (- (* 2 (/ (* (pow a 4) (pow c 3)) (pow b 4))) (+ (* -1 (* (pow a 2) c)) (* -1 (/ (* (pow a 3) (pow c 2)) (pow b 2))))) b)>
#<alt (/ (- (* 1/4 (/ (* a (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4))))) (pow b 6))) (+ (* -2 (/ (* (pow a 4) (pow c 3)) (pow b 4))) (+ (* -1 (* (pow a 2) c)) (* -1 (/ (* (pow a 3) (pow c 2)) (pow b 2)))))) b)>
#<alt (* -1 (* b (- (* -1/2 a) (* 1/2 a))))>
#<alt (* -1 (* b (- (+ (* -1/2 a) (/ (* (pow a 2) c) (pow b 2))) (* 1/2 a))))>
#<alt (* -1 (* b (- (+ (* -1/2 a) (/ (* (pow a 3) (pow c 2)) (pow b 4))) (+ (* -1 (/ (* (pow a 2) c) (pow b 2))) (* 1/2 a)))))>
#<alt (* -1 (* b (- (+ (* -1/2 a) (* 2 (/ (* (pow a 4) (pow c 3)) (pow b 6)))) (+ (* -1 (/ (* (pow a 2) c) (pow b 2))) (+ (* -1 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* 1/2 a))))))>
#<alt (/ (* (pow a 2) c) b)>
#<alt (* (pow a 2) (- (/ (* a (pow c 2)) (pow b 3)) (* -1 (/ c b))))>
#<alt (* (pow a 2) (- (* a (- (* 2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))) (* -1 (/ c b))))>
#<alt (* (pow a 2) (- (* a (- (* a (- (* 1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)) (* -2 (/ (pow c 3) (pow b 5))))) (* -1 (/ (pow c 2) (pow b 3))))) (* -1 (/ c b))))>
#<alt (* -1/2 (* (sqrt (* (pow a 3) c)) (sqrt -4)))>
#<alt (* (pow a 2) (- (* 1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))>
#<alt (* (pow a 2) (- (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (/ b a))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))>
#<alt (* (pow a 2) (- (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (* 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 (* (sqrt (* (pow a 3) c)) (sqrt -1))>
#<alt (* (pow a 2) (- (* 1/2 (/ b a)) (* -1 (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* (pow a 2) (- (* -1 (/ (+ (* -1/2 b) (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* -1 (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* (pow a 2) (- (* -1 (/ (+ (* -1 (/ (- (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* -1/2 b)) a)) (* -1 (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (/ (* (pow a 2) c) b)>
#<alt (* c (- (/ (* (pow a 3) c) (pow b 3)) (* -1 (/ (pow a 2) b))))>
#<alt (* c (- (* c (- (* 2 (/ (* (pow a 4) c) (pow b 5))) (* -1 (/ (pow a 3) (pow b 3))))) (* -1 (/ (pow a 2) b))))>
#<alt (* c (- (* c (- (* c (- (* 1/4 (/ (* a (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6)))))) b)) (* -2 (/ (pow a 4) (pow b 5))))) (* -1 (/ (pow a 3) (pow b 3))))) (* -1 (/ (pow a 2) b))))>
#<alt (* -1/2 (* (sqrt (* (pow a 3) c)) (sqrt -4)))>
#<alt (* c (- (* 1/2 (/ (* a b) c)) (* 1/2 (* (sqrt (/ (pow a 3) c)) (sqrt -4)))))>
#<alt (* c (- (+ (* -1/4 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (/ (* a b) c))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (sqrt -4)))))>
#<alt (* c (- (+ (* 1/16 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (* 1/2 (/ (* a b) c))) (+ (* 1/4 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (sqrt -4))))))>
#<alt (* (sqrt (* (pow a 3) c)) (sqrt -1))>
#<alt (* -1 (* c (- (* -1/2 (/ (* a b) c)) (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))>
#<alt (* -1 (* c (- (* -1 (/ (+ (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/2 (* a b))) c)) (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))>
#<alt (* -1 (* c (- (* -1 (/ (+ (* -1 (/ (- (* 1/128 (* (sqrt (/ 1 (* a c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (* a c)) (* (pow b 2) (sqrt -1))))) c)) (* 1/2 (* a b))) c)) (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))>
#<alt (* 1/2 (* a b))>
#<alt (* 1/2 (* a b))>
#<alt (* 1/2 (* a b))>
#<alt (* 1/2 (* a b))>
#<alt (* 1/2 (* a b))>
#<alt (* 1/2 (* a b))>
#<alt (* 1/2 (* a b))>
#<alt (* 1/2 (* a b))>
#<alt (* 1/2 (* a b))>
#<alt (* 1/2 (* a b))>
#<alt (* 1/2 (* a b))>
#<alt (* 1/2 (* a b))>
#<alt (* 1/2 (* a b))>
#<alt (* 1/2 (* a b))>
#<alt (* 1/2 (* a b))>
#<alt (* 1/2 (* a b))>
#<alt (* 1/2 (* a b))>
#<alt (* 1/2 (* a b))>
#<alt (* 1/2 (* a b))>
#<alt (* 1/2 (* a b))>
#<alt (* 1/2 (* a b))>
#<alt (* 1/2 (* a b))>
#<alt (* 1/2 (* a b))>
#<alt (* 1/2 (* a b))>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<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 (* 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 (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 (* 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)>
Calls

135 calls:

TimeVariablePointExpression
5.0ms
c
@inf
(/ a (- b (sqrt (+ (* b b) (* c (* a -4))))))
5.0ms
c
@-inf
(- b (sqrt (+ (* b b) (* c (* a -4)))))
4.0ms
b
@0
(- 0 (/ b a))
2.0ms
b
@inf
(- 0 (/ b a))
1.0ms
a
@inf
(/ a (- b (sqrt (+ (* b b) (* c (* a -4))))))

rewrite447.0ms (3.7%)

Memory
6.2MiB live, 750.1MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 334×/-lowering-/.f32
5 334×/-lowering-/.f64
4 406×*-lowering-*.f32
4 406×*-lowering-*.f64
3 472×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034180
1191176
21673170
08286161
Stop Event
iter limit
node limit
Counts
19 → 1 117
Calls
Call 1
Inputs
(* (/ -1/2 a) (+ b (sqrt (+ (* b b) (* c (* a -4))))))
(/ -1/2 a)
(+ b (sqrt (+ (* b b) (* c (* a -4)))))
(sqrt (+ (* b b) (* c (* a -4))))
(- 0 (/ b a))
(/ b a)
(/ (/ (* c (* a -2)) b) (* 2 a))
(/ (* c (* a -2)) b)
(* c (* a -2))
(* a -2)
(/ 1/2 (/ a (- b (sqrt (+ (* b b) (* c (* a -4)))))))
(/ a (- b (sqrt (+ (* b b) (* c (* a -4))))))
(- b (sqrt (+ (* b b) (* c (* a -4)))))
(/ (- (* (/ b 2) a) (* a (/ (sqrt (+ (* b b) (* c (* a -4)))) 2))) (* a a))
(- (* (/ b 2) a) (* a (/ (sqrt (+ (* b b) (* c (* a -4)))) 2)))
(* (/ b 2) a)
(/ b 2)
(+ (* b b) (* c (* a -4)))
(* 2 a)
Outputs
(+.f64 (/.f64 b (/.f64 a #s(literal -1/2 binary64))) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (/.f64 a #s(literal -1/2 binary64))))
(+.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (/.f64 a #s(literal -1/2 binary64))) (/.f64 b (/.f64 a #s(literal -1/2 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 b b) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (/.f64 a #s(literal -1/2 binary64))) (/.f64 (/.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (/.f64 a #s(literal -1/2 binary64))))
(-.f64 (/.f64 (*.f64 (/.f64 b (/.f64 a #s(literal -1/2 binary64))) (/.f64 b (/.f64 a #s(literal -1/2 binary64)))) (/.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (/.f64 a #s(literal -1/2 binary64)))) (/.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (/.f64 a #s(literal -1/2 binary64))) #s(literal 2 binary64)) (/.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (/.f64 a #s(literal -1/2 binary64)))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (/.f64 a #s(literal -1/2 binary64))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) a) (/.f64 b (/.f64 a #s(literal -1/2 binary64))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (/.f64 b (/.f64 a #s(literal -1/2 binary64))))
(fma.f64 (/.f64 #s(literal -1/2 binary64) a) b (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (/.f64 a #s(literal -1/2 binary64))))
(fma.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (/.f64 b (/.f64 a #s(literal -1/2 binary64))))
(fma.f64 b (/.f64 #s(literal -1/2 binary64) a) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (/.f64 a #s(literal -1/2 binary64))))
(fma.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (/.f64 #s(literal -1/2 binary64) a) (/.f64 b (/.f64 a #s(literal -1/2 binary64))))
(fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (/.f64 a #s(literal -1/2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (/.f64 b a)) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (/.f64 a #s(literal -1/2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (-.f64 #s(literal 0 binary64) a)) (/.f64 b (/.f64 a #s(literal -1/2 binary64))))
(fma.f64 (/.f64 b #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) a)) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (/.f64 a #s(literal -1/2 binary64))))
(fma.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) a)) (/.f64 b (/.f64 a #s(literal -1/2 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) #s(literal -2 binary64)) (/.f64 b (/.f64 a #s(literal -1/2 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 b #s(literal -2 binary64)) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (/.f64 a #s(literal -1/2 binary64))))
(fma.f64 (-.f64 #s(literal 0 binary64) (/.f64 b a)) #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (/.f64 a #s(literal -1/2 binary64))))
(fma.f64 #s(literal -1 binary64) (/.f64 (/.f64 b #s(literal 2 binary64)) a) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (/.f64 a #s(literal -1/2 binary64))))
(fma.f64 #s(literal -1 binary64) (/.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) #s(literal 2 binary64)) a) (/.f64 b (/.f64 a #s(literal -1/2 binary64))))
(fma.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal 2 binary64))) (/.f64 b (/.f64 a #s(literal -1/2 binary64))))
(fma.f64 #s(literal -1 binary64) (/.f64 b (*.f64 a #s(literal 2 binary64))) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (/.f64 a #s(literal -1/2 binary64))))
(fma.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) a) #s(literal -1/2 binary64) (/.f64 b (/.f64 a #s(literal -1/2 binary64))))
(fma.f64 (/.f64 b #s(literal 1 binary64)) (/.f64 #s(literal -1/2 binary64) a) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (/.f64 a #s(literal -1/2 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) a)) (/.f64 b #s(literal 2 binary64)) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (/.f64 a #s(literal -1/2 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) a)) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) #s(literal 2 binary64)) (/.f64 b (/.f64 a #s(literal -1/2 binary64))))
(fma.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) a) (/.f64 b (/.f64 a #s(literal -1/2 binary64))))
(fma.f64 (/.f64 b #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) a) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (/.f64 a #s(literal -1/2 binary64))))
(fma.f64 (*.f64 b #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) a) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (/.f64 a #s(literal -1/2 binary64))))
(fma.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) a) (/.f64 b (/.f64 a #s(literal -1/2 binary64))))
(fma.f64 (/.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal 1/4 binary64)) a) (/.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal 1/4 binary64)) #s(literal -2 binary64)) (/.f64 b (/.f64 a #s(literal -1/2 binary64))))
(fma.f64 (/.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal 1/4 binary64)) #s(literal -2 binary64)) (/.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal 1/4 binary64)) a) (/.f64 b (/.f64 a #s(literal -1/2 binary64))))
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(/.f64 (neg.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)))) (neg.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)) (*.f64 b (*.f64 b (*.f64 b b)))) (-.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 b b)))
(/.f64 (-.f64 (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (-.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)))) (*.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (-.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 #s(literal -64 binary64) (*.f64 a (*.f64 a a))))))) (neg.f64 (neg.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (-.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 b b)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64))))) (neg.f64 (neg.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)) (*.f64 b (*.f64 b (*.f64 b b))))) (neg.f64 (-.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 b b))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (-.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)) (-.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (-.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (-.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (+.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)) (-.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)) (-.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (-.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)) (-.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))))
(pow.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) #s(literal 2 binary64))
(pow.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) #s(literal 2 binary64))
(pow.f64 (*.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) #s(literal 1/2 binary64))
(pow.f64 (/.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (-.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 b b)))) (+.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 #s(literal -64 binary64) (*.f64 a (*.f64 a a)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)))) #s(literal -1 binary64))
(*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
(*.f64 (+.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 #s(literal -64 binary64) (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (-.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 b b))))))
(*.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))
(*.f64 (pow.f64 (+.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 #s(literal -64 binary64) (*.f64 a (*.f64 a a))))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (-.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 b b))))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) #s(literal 1 binary64)))
(*.f64 a #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) a)

simplify558.0ms (4.6%)

Memory
-30.4MiB live, 949.7MiB allocated
Algorithm
egg-herbie
Rules
7 196×*-lowering-*.f32
7 196×*-lowering-*.f64
6 832×accelerator-lowering-fma.f32
6 832×accelerator-lowering-fma.f64
4 586×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
011699081
138478909
081478564
Stop Event
iter limit
node limit
Counts
540 → 540
Calls
Call 1
Inputs
(* -1 (/ b a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -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)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ 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)))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))
(* -1 (/ b a))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))
(* -1 (/ c b))
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))
(* -1 (/ b a))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))
(* (sqrt (/ c a)) (sqrt -1))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)))))
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(* (sqrt (* a c)) (sqrt -4))
(+ 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) (* 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))))))
(* 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))))))
(* (sqrt (* a c)) (sqrt -4))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))
b
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 b)
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
(* -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))
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
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(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* 1/2 (/ b (* a c)))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (/ b (* a c))))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (* 1/2 (/ b (* a c)))))))
(* (sqrt (/ c a)) (sqrt -1))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1/2 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 1/2 (/ b a))) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* 1/2 (/ b a))) c)))))
(* -1/2 (* (sqrt (* (pow a 3) c)) (sqrt -4)))
(- (* 1/2 (* a b)) (* 1/2 (* (sqrt (* (pow a 3) c)) (sqrt -4))))
(- (* b (+ (* -1/4 (* (sqrt (/ a c)) (/ b (sqrt -4)))) (* 1/2 a))) (* 1/2 (* (sqrt (* (pow a 3) c)) (sqrt -4))))
(- (* b (+ (* 1/2 a) (* b (- (* 1/16 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))))))) (* 1/2 (* (sqrt (* (pow a 3) c)) (sqrt -4))))
(/ (* (pow a 2) c) b)
(/ (- (/ (* (pow a 3) (pow c 2)) (pow b 2)) (* -1 (* (pow a 2) c))) b)
(/ (- (* 2 (/ (* (pow a 4) (pow c 3)) (pow b 4))) (+ (* -1 (* (pow a 2) c)) (* -1 (/ (* (pow a 3) (pow c 2)) (pow b 2))))) b)
(/ (- (* 1/4 (/ (* a (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4))))) (pow b 6))) (+ (* -2 (/ (* (pow a 4) (pow c 3)) (pow b 4))) (+ (* -1 (* (pow a 2) c)) (* -1 (/ (* (pow a 3) (pow c 2)) (pow b 2)))))) b)
(* -1 (* b (- (* -1/2 a) (* 1/2 a))))
(* -1 (* b (- (+ (* -1/2 a) (/ (* (pow a 2) c) (pow b 2))) (* 1/2 a))))
(* -1 (* b (- (+ (* -1/2 a) (/ (* (pow a 3) (pow c 2)) (pow b 4))) (+ (* -1 (/ (* (pow a 2) c) (pow b 2))) (* 1/2 a)))))
(* -1 (* b (- (+ (* -1/2 a) (* 2 (/ (* (pow a 4) (pow c 3)) (pow b 6)))) (+ (* -1 (/ (* (pow a 2) c) (pow b 2))) (+ (* -1 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* 1/2 a))))))
(/ (* (pow a 2) c) b)
(* (pow a 2) (- (/ (* a (pow c 2)) (pow b 3)) (* -1 (/ c b))))
(* (pow a 2) (- (* a (- (* 2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))) (* -1 (/ c b))))
(* (pow a 2) (- (* a (- (* a (- (* 1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)) (* -2 (/ (pow c 3) (pow b 5))))) (* -1 (/ (pow c 2) (pow b 3))))) (* -1 (/ c b))))
(* -1/2 (* (sqrt (* (pow a 3) c)) (sqrt -4)))
(* (pow a 2) (- (* 1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(* (pow a 2) (- (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (/ b a))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(* (pow a 2) (- (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (* 1/2 (/ b a))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(* (sqrt (* (pow a 3) c)) (sqrt -1))
(* (pow a 2) (- (* 1/2 (/ b a)) (* -1 (* (sqrt (/ c a)) (sqrt -1)))))
(* (pow a 2) (- (* -1 (/ (+ (* -1/2 b) (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* -1 (* (sqrt (/ c a)) (sqrt -1)))))
(* (pow a 2) (- (* -1 (/ (+ (* -1 (/ (- (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* -1/2 b)) a)) (* -1 (* (sqrt (/ c a)) (sqrt -1)))))
(/ (* (pow a 2) c) b)
(* c (- (/ (* (pow a 3) c) (pow b 3)) (* -1 (/ (pow a 2) b))))
(* c (- (* c (- (* 2 (/ (* (pow a 4) c) (pow b 5))) (* -1 (/ (pow a 3) (pow b 3))))) (* -1 (/ (pow a 2) b))))
(* c (- (* c (- (* c (- (* 1/4 (/ (* a (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6)))))) b)) (* -2 (/ (pow a 4) (pow b 5))))) (* -1 (/ (pow a 3) (pow b 3))))) (* -1 (/ (pow a 2) b))))
(* -1/2 (* (sqrt (* (pow a 3) c)) (sqrt -4)))
(* c (- (* 1/2 (/ (* a b) c)) (* 1/2 (* (sqrt (/ (pow a 3) c)) (sqrt -4)))))
(* c (- (+ (* -1/4 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (/ (* a b) c))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (sqrt -4)))))
(* c (- (+ (* 1/16 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (* 1/2 (/ (* a b) c))) (+ (* 1/4 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (sqrt -4))))))
(* (sqrt (* (pow a 3) c)) (sqrt -1))
(* -1 (* c (- (* -1/2 (/ (* a b) c)) (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))
(* -1 (* c (- (* -1 (/ (+ (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/2 (* a b))) c)) (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))
(* -1 (* c (- (* -1 (/ (+ (* -1 (/ (- (* 1/128 (* (sqrt (/ 1 (* a c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (* a c)) (* (pow b 2) (sqrt -1))))) c)) (* 1/2 (* a b))) c)) (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))
(* 1/2 (* a b))
(* 1/2 (* a b))
(* 1/2 (* a b))
(* 1/2 (* a b))
(* 1/2 (* a b))
(* 1/2 (* a b))
(* 1/2 (* a b))
(* 1/2 (* a b))
(* 1/2 (* a b))
(* 1/2 (* a b))
(* 1/2 (* a b))
(* 1/2 (* a b))
(* 1/2 (* a b))
(* 1/2 (* a b))
(* 1/2 (* a b))
(* 1/2 (* a b))
(* 1/2 (* a b))
(* 1/2 (* a b))
(* 1/2 (* a b))
(* 1/2 (* a b))
(* 1/2 (* a b))
(* 1/2 (* a b))
(* 1/2 (* a b))
(* 1/2 (* a b))
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* -4 (* a c))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(pow b 2)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(pow b 2)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* -4 (* a c))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* -4 (* a c))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* -4 (* a c))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* -4 (* a c))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
Outputs
(* -1 (/ b a))
(/.f64 b (neg.f64 a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/.f64 (-.f64 (*.f64 a (/.f64 c b)) b) a)
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/.f64 (-.f64 (*.f64 a (+.f64 (/.f64 c b) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b b))))) b) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)
(/.f64 (-.f64 (*.f64 a (+.f64 (/.f64 c b) (*.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))))))) b) 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 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 b b)) (sqrt.f64 #s(literal -4 binary64)))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 b b)) (sqrt.f64 #s(literal -4 binary64)))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (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))))))))
(* (sqrt (/ c a)) (sqrt -1))
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(+.f64 (/.f64 (*.f64 b #s(literal -1/2 binary64)) a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 b #s(literal 1/2 binary64))) a))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (-.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 (+.f64 (*.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 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 a c))) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))))) 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 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))) (*.f64 b (+.f64 (*.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))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))) (*.f64 b (+.f64 (*.f64 b (+.f64 (*.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 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (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))))
(* -1 (/ b a))
(/.f64 b (neg.f64 a))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a)))
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))
(*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (+.f64 (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) a))))
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))
(*.f64 b (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a a))) (pow.f64 b #s(literal 6 binary64))) (+.f64 (/.f64 c (*.f64 b b)) (+.f64 (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) a)))))
(* -1 (/ c b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))
(/.f64 (+.f64 c (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b))
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))
(/.f64 (+.f64 c (+.f64 (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 a a) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))))))) (-.f64 #s(literal 0 binary64) b))
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))
(/.f64 (+.f64 (+.f64 c (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) #s(literal 20 binary64))) (*.f64 a (pow.f64 b #s(literal 6 binary64))))) (+.f64 (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 a a) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))))))) (-.f64 #s(literal 0 binary64) b))
(* -1 (/ b a))
(/.f64 b (neg.f64 a))
(+ (* -1 (/ b a)) (/ c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))
(-.f64 (*.f64 c (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (*.f64 a c) (*.f64 b (*.f64 b b))))) (/.f64 b a))
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))
(-.f64 (*.f64 c (+.f64 (/.f64 #s(literal 1 binary64) b) (*.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 b 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))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))
(*.f64 c (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (/.f64 b (*.f64 a c)))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))
(*.f64 c (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (/.f64 b (*.f64 a c)))) (*.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)))))))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))
(*.f64 c (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (/.f64 b (*.f64 a c)))) (+.f64 (*.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 1/16 binary64) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 5 binary64)))))))))
(* (sqrt (/ c a)) (sqrt -1))
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))
(*.f64 (-.f64 (/.f64 (*.f64 b #s(literal 1/2 binary64)) (*.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))))) (neg.f64 c))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))
(-.f64 #s(literal 0 binary64) (*.f64 c (-.f64 (/.f64 (+.f64 (/.f64 (*.f64 b #s(literal -1/2 binary64)) a) (*.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)))))) (neg.f64 c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)))))
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(* 1/2 (* a b))
(*.f64 #s(literal 1/2 binary64) (*.f64 b a))
(* 1/2 (* a b))
(*.f64 #s(literal 1/2 binary64) (*.f64 b a))
(* 1/2 (* a b))
(*.f64 #s(literal 1/2 binary64) (*.f64 b a))
(* 1/2 b)
(*.f64 b #s(literal 1/2 binary64))
(* 1/2 b)
(*.f64 b #s(literal 1/2 binary64))
(* 1/2 b)
(*.f64 b #s(literal 1/2 binary64))
(* 1/2 b)
(*.f64 b #s(literal 1/2 binary64))
(* 1/2 b)
(*.f64 b #s(literal 1/2 binary64))
(* 1/2 b)
(*.f64 b #s(literal 1/2 binary64))
(* 1/2 b)
(*.f64 b #s(literal 1/2 binary64))
(* 1/2 b)
(*.f64 b #s(literal 1/2 binary64))
(* 1/2 b)
(*.f64 b #s(literal 1/2 binary64))
(* 1/2 b)
(*.f64 b #s(literal 1/2 binary64))
(* 1/2 b)
(*.f64 b #s(literal 1/2 binary64))
(* 1/2 b)
(*.f64 b #s(literal 1/2 binary64))
(* -4 (* a c))
(*.f64 (*.f64 a c) #s(literal -4 binary64))
(+ (* -4 (* a c)) (pow b 2))
(+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))
(+ (* -4 (* a c)) (pow b 2))
(+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))
(+ (* -4 (* a c)) (pow b 2))
(+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (*.f64 a (/.f64 c (*.f64 b b))))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (*.f64 a (/.f64 c (*.f64 b b))))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (*.f64 a (/.f64 c (*.f64 b b))))))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (*.f64 a (/.f64 c (*.f64 b b))))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (*.f64 a (/.f64 c (*.f64 b b))))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (*.f64 a (/.f64 c (*.f64 b b))))))
(pow b 2)
(*.f64 b b)
(+ (* -4 (* a c)) (pow b 2))
(+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))
(+ (* -4 (* a c)) (pow b 2))
(+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))
(+ (* -4 (* a c)) (pow b 2))
(+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))
(* -4 (* a c))
(*.f64 (*.f64 a c) #s(literal -4 binary64))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(*.f64 c (+.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 (*.f64 b b) c)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(*.f64 c (+.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 (*.f64 b b) c)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(*.f64 c (+.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 (*.f64 b b) c)))
(* -4 (* a c))
(*.f64 (*.f64 a c) #s(literal -4 binary64))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(-.f64 #s(literal 0 binary64) (*.f64 c (-.f64 (*.f64 a #s(literal 4 binary64)) (/.f64 (*.f64 b b) c))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(-.f64 #s(literal 0 binary64) (*.f64 c (-.f64 (*.f64 a #s(literal 4 binary64)) (/.f64 (*.f64 b b) c))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(-.f64 #s(literal 0 binary64) (*.f64 c (-.f64 (*.f64 a #s(literal 4 binary64)) (/.f64 (*.f64 b b) c))))
(pow b 2)
(*.f64 b b)
(+ (* -4 (* a c)) (pow b 2))
(+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))
(+ (* -4 (* a c)) (pow b 2))
(+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))
(+ (* -4 (* a c)) (pow b 2))
(+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))
(* -4 (* a c))
(*.f64 (*.f64 a c) #s(literal -4 binary64))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(*.f64 a (+.f64 (*.f64 c #s(literal -4 binary64)) (/.f64 (*.f64 b b) a)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(*.f64 a (+.f64 (*.f64 c #s(literal -4 binary64)) (/.f64 (*.f64 b b) a)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(*.f64 a (+.f64 (*.f64 c #s(literal -4 binary64)) (/.f64 (*.f64 b b) a)))
(* -4 (* a c))
(*.f64 (*.f64 a c) #s(literal -4 binary64))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(*.f64 (-.f64 (*.f64 c #s(literal 4 binary64)) (/.f64 (*.f64 b b) a)) (neg.f64 a))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(*.f64 (-.f64 (*.f64 c #s(literal 4 binary64)) (/.f64 (*.f64 b b) a)) (neg.f64 a))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(*.f64 (-.f64 (*.f64 c #s(literal 4 binary64)) (/.f64 (*.f64 b b) a)) (neg.f64 a))
(* 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))

eval301.0ms (2.5%)

Memory
49.2MiB live, 622.6MiB allocated
Compiler

Compiled 57 203 to 5 478 computations (90.4% saved)

prune355.0ms (2.9%)

Memory
-8.2MiB live, 673.0MiB allocated
Pruning

34 alts after pruning (32 fresh and 2 done)

PrunedKeptTotal
New1 916251 941
Fresh6713
Picked325
Done000
Total1 925341 959
Accuracy
96.1%
Counts
1 959 → 34
Alt Table
Click to see full alt table
StatusAccuracyProgram
4.7%
(/.f64 (/.f64 (*.f64 c (*.f64 a a)) b) (*.f64 a a))
40.6%
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 2 binary64) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))))
23.5%
(/.f64 (-.f64 (*.f64 (/.f64 b #s(literal 2 binary64)) a) (*.f64 a (/.f64 (sqrt.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64))) #s(literal 2 binary64)))) (*.f64 a a))
48.6%
(/.f64 (-.f64 (neg.f64 b) (/.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a))
57.7%
(/.f64 (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (*.f64 #s(literal 2 binary64) a))
37.6%
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (*.f64 c (/.f64 a (*.f64 b b)))))))) (*.f64 #s(literal 2 binary64) a))
40.8%
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))
8.9%
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 b b) (*.f64 a a))) (/.f64 b a))
2.0%
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) (*.f64 a #s(literal -1 binary64))) (*.f64 a a))
10.1%
(/.f64 c b)
38.5%
(/.f64 b (neg.f64 a))
2.5%
(/.f64 b a)
2.5%
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b))
10.0%
(/.f64 #s(literal 1/2 binary64) (/.f64 a (/.f64 (*.f64 (*.f64 a c) #s(literal 2 binary64)) b)))
40.7%
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))))
31.1%
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b (sqrt.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64))))))
39.6%
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))))))
38.4%
(/.f64 #s(literal -1 binary64) (/.f64 a b))
38.3%
(-.f64 (/.f64 c b) (/.f64 b a))
31.1%
(-.f64 #s(literal 0 binary64) (/.f64 c b))
38.0%
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (/.f64 b a) (/.f64 #s(literal 1 binary64) a)) (/.f64 (/.f64 b a) b)))
20.1%
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (*.f64 (/.f64 b a) b) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 b a))))
18.0%
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) a)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) b)))
21.2%
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 b (/.f64 #s(literal 1 binary64) a)) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 b a)) b)))
21.0%
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 b #s(literal 1 binary64)) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 b a)) (/.f64 b a))))
58.2%
(+.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (/.f64 a #s(literal -1/2 binary64))) (/.f64 b (/.f64 a #s(literal -1/2 binary64))))
24.7%
(*.f64 (/.f64 (*.f64 a c) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal -2 binary64) b) a))
37.9%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 (*.f64 b #s(literal 2 binary64)) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64))))
58.2%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
38.0%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (*.f64 a (/.f64 c (*.f64 b b)))))))))
40.7%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64)))))
10.1%
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 b b) (*.f64 a a))) (/.f64 a b))
5.1%
(*.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 (*.f64 a #s(literal -1 binary64)) (*.f64 a a)))
24.2%
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a c) (*.f64 a b)))
Compiler

Compiled 1 088 to 714 computations (34.4% saved)

simplify650.0ms (5.3%)

Memory
9.7MiB live, 796.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))
cost-diff0
(/.f64 #s(literal 2 binary64) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
cost-diff0
(/.f64 #s(literal 1 binary64) a)
cost-diff128
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 2 binary64) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))))
cost-diff0
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (/.f64 b a) (/.f64 #s(literal 1 binary64) a)) (/.f64 (/.f64 b a) b)))
cost-diff128
(/.f64 (/.f64 b a) b)
cost-diff128
(*.f64 (/.f64 (/.f64 b a) (/.f64 #s(literal 1 binary64) a)) (/.f64 (/.f64 b a) b))
cost-diff384
(/.f64 (/.f64 b a) (/.f64 #s(literal 1 binary64) a))
cost-diff0
(*.f64 a #s(literal -1 binary64))
cost-diff0
(-.f64 #s(literal 0 binary64) b)
cost-diff256
(/.f64 (*.f64 a #s(literal -1 binary64)) (*.f64 a a))
cost-diff256
(*.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 (*.f64 a #s(literal -1 binary64)) (*.f64 a a)))
cost-diff0
(/.f64 b a)
cost-diff0
(+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))
cost-diff0
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))
cost-diff0
(/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (/.f64 a #s(literal -1/2 binary64)))
cost-diff256
(+.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (/.f64 a #s(literal -1/2 binary64))) (/.f64 b (/.f64 a #s(literal -1/2 binary64))))
Rules
20 874×accelerator-lowering-fma.f32
20 874×accelerator-lowering-fma.f64
3 200×*-lowering-*.f32
3 200×*-lowering-*.f64
2 636×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032218
178206
2251199
3783197
42781197
56492197
08039188
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(+ (/ (sqrt (+ (* b b) (* c (* a -4)))) (/ a -1/2)) (/ b (/ a -1/2)))
(/ (sqrt (+ (* b b) (* c (* a -4)))) (/ a -1/2))
(sqrt (+ (* b b) (* c (* a -4))))
(+ (* b b) (* c (* a -4)))
(* b b)
b
(* c (* a -4))
c
(* a -4)
a
-4
(/ a -1/2)
-1/2
(/ b (/ a -1/2))
(/ b a)
b
a
(* (- 0 b) (/ (* a -1) (* a a)))
(- 0 b)
0
b
(/ (* a -1) (* a a))
(* a -1)
a
-1
(* a a)
(- 0 (* (/ (/ b a) (/ 1 a)) (/ (/ b a) b)))
0
(* (/ (/ b a) (/ 1 a)) (/ (/ b a) b))
(/ (/ b a) (/ 1 a))
(/ b a)
b
a
(/ 1 a)
1
(/ (/ b a) b)
(/ (/ 1 a) (/ 2 (- b (sqrt (+ (* b b) (* c (* a -4)))))))
(/ 1 a)
1
a
(/ 2 (- b (sqrt (+ (* b b) (* c (* a -4))))))
2
(- b (sqrt (+ (* b b) (* c (* a -4)))))
b
(sqrt (+ (* b b) (* c (* a -4))))
(+ (* b b) (* c (* a -4)))
(* b b)
(* c (* a -4))
c
(* a -4)
-4
Outputs
(+ (/ (sqrt (+ (* b b) (* c (* a -4)))) (/ a -1/2)) (/ b (/ a -1/2)))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)))))
(/ (sqrt (+ (* b b) (* c (* a -4)))) (/ a -1/2))
(/.f64 (sqrt.f64 (+.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b))) (/.f64 a #s(literal -1/2 binary64)))
(sqrt (+ (* b b) (* c (* a -4))))
(sqrt.f64 (+.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)))
(+ (* b b) (* c (* a -4)))
(+.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b))
(* b b)
(*.f64 b b)
b
(* c (* a -4))
(*.f64 a (*.f64 c #s(literal -4 binary64)))
c
(* a -4)
(*.f64 a #s(literal -4 binary64))
a
-4
#s(literal -4 binary64)
(/ a -1/2)
(/.f64 a #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)
(/ b (/ a -1/2))
(*.f64 #s(literal -1/2 binary64) (/.f64 b a))
(/ b a)
(/.f64 b a)
b
a
(* (- 0 b) (/ (* a -1) (* a a)))
(/.f64 b a)
(- 0 b)
(-.f64 #s(literal 0 binary64) b)
0
#s(literal 0 binary64)
b
(/ (* a -1) (* a a))
(/.f64 #s(literal -1 binary64) a)
(* a -1)
(-.f64 #s(literal 0 binary64) a)
a
-1
#s(literal -1 binary64)
(* a a)
(*.f64 a a)
(- 0 (* (/ (/ b a) (/ 1 a)) (/ (/ b a) b)))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
0
#s(literal 0 binary64)
(* (/ (/ b a) (/ 1 a)) (/ (/ b a) b))
(/.f64 b a)
(/ (/ b a) (/ 1 a))
b
(/ b a)
(/.f64 b a)
b
a
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
1
#s(literal 1 binary64)
(/ (/ b a) b)
(/.f64 #s(literal 1 binary64) a)
(/ (/ 1 a) (/ 2 (- b (sqrt (+ (* b b) (* c (* a -4)))))))
(/.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)))) (*.f64 a #s(literal 2 binary64)))
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
1
#s(literal 1 binary64)
a
(/ 2 (- b (sqrt (+ (* b b) (* c (* a -4))))))
(/.f64 #s(literal 2 binary64) (-.f64 b (sqrt.f64 (+.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)))))
2
#s(literal 2 binary64)
(- b (sqrt (+ (* b b) (* c (* a -4)))))
(-.f64 b (sqrt.f64 (+.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b))))
b
(sqrt (+ (* b b) (* c (* a -4))))
(sqrt.f64 (+.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)))
(+ (* b b) (* c (* a -4)))
(+.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b))
(* b b)
(*.f64 b b)
(* c (* a -4))
(*.f64 a (*.f64 c #s(literal -4 binary64)))
c
(* a -4)
(*.f64 a #s(literal -4 binary64))
-4
#s(literal -4 binary64)

localize208.0ms (1.7%)

Memory
-10.1MiB live, 344.7MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy99.1%
(+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))
accuracy93.7%
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 2 binary64) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))))
accuracy75.6%
(-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))
accuracy63.3%
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))
accuracy100.0%
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (/.f64 b a) (/.f64 #s(literal 1 binary64) a)) (/.f64 (/.f64 b a) b)))
accuracy99.3%
(*.f64 (/.f64 (/.f64 b a) (/.f64 #s(literal 1 binary64) a)) (/.f64 (/.f64 b a) b))
accuracy80.0%
(/.f64 (/.f64 b a) b)
accuracy79.9%
(/.f64 (/.f64 b a) (/.f64 #s(literal 1 binary64) a))
accuracy100.0%
(*.f64 a a)
accuracy100.0%
(*.f64 a #s(literal -1 binary64))
accuracy99.3%
(*.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 (*.f64 a #s(literal -1 binary64)) (*.f64 a a)))
accuracy60.9%
(/.f64 (*.f64 a #s(literal -1 binary64)) (*.f64 a a))
accuracy100.0%
(/.f64 b a)
accuracy99.9%
(/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (/.f64 a #s(literal -1/2 binary64)))
accuracy99.1%
(+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))
accuracy76.7%
(+.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (/.f64 a #s(literal -1/2 binary64))) (/.f64 b (/.f64 a #s(literal -1/2 binary64))))
accuracy63.3%
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))
Samples
57.0ms89×0valid
46.0ms85×1valid
38.0ms72×2valid
13.0ms10×3valid
Compiler

Compiled 248 to 34 computations (86.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 82.0ms
ival-mult: 27.0ms (33.1% of total)
ival-div: 26.0ms (31.9% of total)
adjust: 14.0ms (17.2% of total)
ival-sub: 5.0ms (6.1% of total)
ival-add: 4.0ms (4.9% of total)
ival-sqrt: 4.0ms (4.9% of total)
exact: 1.0ms (1.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series28.0ms (0.2%)

Memory
-16.3MiB live, 59.7MiB allocated
Counts
18 → 456
Calls
Call 1
Inputs
#<alt (+ (/ (sqrt (+ (* b b) (* c (* a -4)))) (/ a -1/2)) (/ b (/ a -1/2)))>
#<alt (/ (sqrt (+ (* b b) (* c (* a -4)))) (/ a -1/2))>
#<alt (sqrt (+ (* b b) (* c (* a -4))))>
#<alt (+ (* b b) (* c (* a -4)))>
#<alt (/ b a)>
#<alt (* (- 0 b) (/ (* a -1) (* a a)))>
#<alt (/ (* a -1) (* a a))>
#<alt (- 0 b)>
#<alt (* a -1)>
#<alt (/ (/ b a) (/ 1 a))>
#<alt (* (/ (/ b a) (/ 1 a)) (/ (/ b a) b))>
#<alt (/ (/ b a) b)>
#<alt (- 0 (* (/ (/ b a) (/ 1 a)) (/ (/ b a) b)))>
#<alt (/ (/ 1 a) (/ 2 (- b (sqrt (+ (* b b) (* c (* a -4)))))))>
#<alt (/ 1 a)>
#<alt (/ 2 (- b (sqrt (+ (* b b) (* c (* a -4))))))>
#<alt (- b (sqrt (+ (* b b) (* c (* a -4)))))>
#<alt (* a a)>
Outputs
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))>
#<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 (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))>
#<alt (* -1 (/ b a))>
#<alt (* b (- (/ c (pow b 2)) (/ 1 a)))>
#<alt (* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))>
#<alt (* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))>
#<alt (* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))>
#<alt (* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))>
#<alt (* -1 (/ b a))>
#<alt (+ (* -1 (/ b a)) (/ c b))>
#<alt (+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))>
#<alt (+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))>
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))>
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))>
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)))))>
#<alt (* -1 (/ b a))>
#<alt (/ (+ (* -1 b) (/ (* a c) b)) a)>
#<alt (/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)>
#<alt (/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)>
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* (pow b 2) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* (pow b 2) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))))))))>
#<alt (* -1/2 (/ b a))>
#<alt (* b (- (/ c (pow b 2)) (* 1/2 (/ 1 a))))>
#<alt (* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (* 1/2 (/ 1 a))))>
#<alt (* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (* 1/2 (/ 1 a))))>
#<alt (* 1/2 (/ b a))>
#<alt (* -1 (* b (- (/ c (pow b 2)) (* 1/2 (/ 1 a)))))>
#<alt (* -1 (* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (* 1/2 (/ 1 a)))))>
#<alt (* -1 (* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (* 1/2 (/ 1 a)))))>
#<alt (* -1/2 (/ b a))>
#<alt (+ (* -1/2 (/ b a)) (/ c b))>
#<alt (+ (* -1/2 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))>
#<alt (+ (* -1/2 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))>
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4))))))>
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))>
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))))))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1))))))))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (+ (* -1/1024 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))))))))>
#<alt (* -1/2 (/ b a))>
#<alt (/ (+ (* -1/2 b) (/ (* a c) b)) a)>
#<alt (/ (+ (* -1/2 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)>
#<alt (/ (+ (* -1/2 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)>
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3))))))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))>
#<alt (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/1024 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ c a)) (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)>
#<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 (* 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))))))))>
#<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 (* -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 (* 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 (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 (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ -1 a)>
#<alt (/ -1 a)>
#<alt (/ -1 a)>
#<alt (/ -1 a)>
#<alt (/ -1 a)>
#<alt (/ -1 a)>
#<alt (/ -1 a)>
#<alt (/ -1 a)>
#<alt (/ -1 a)>
#<alt (/ -1 a)>
#<alt (/ -1 a)>
#<alt (/ -1 a)>
#<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 (* -1 a)>
#<alt (* -1 a)>
#<alt (* -1 a)>
#<alt (* -1 a)>
#<alt (* -1 a)>
#<alt (* -1 a)>
#<alt (* -1 a)>
#<alt (* -1 a)>
#<alt (* -1 a)>
#<alt (* -1 a)>
#<alt (* -1 a)>
#<alt (* -1 a)>
#<alt b>
#<alt b>
#<alt b>
#<alt b>
#<alt b>
#<alt b>
#<alt b>
#<alt b>
#<alt b>
#<alt b>
#<alt b>
#<alt b>
#<alt b>
#<alt b>
#<alt b>
#<alt b>
#<alt b>
#<alt b>
#<alt b>
#<alt b>
#<alt b>
#<alt b>
#<alt b>
#<alt b>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 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 (/ b a))>
#<alt (/ c b)>
#<alt (+ (/ c b) (/ (* a (pow c 2)) (pow b 3)))>
#<alt (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b))>
#<alt (+ (* a (+ (* a (+ (* 1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)) (* 2 (/ (pow c 3) (pow b 5))))) (/ (pow c 2) (pow b 3)))) (/ c b))>
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* 1/2 (/ b a)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (/ b a))))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (* 1/2 (/ b a)))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (+ (* 1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ (* -1/2 b) (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* -1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* 1/2 (/ b a)))>
#<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 (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))>
#<alt (/ c b)>
#<alt (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)>
#<alt (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b)>
#<alt (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b)>
#<alt (/ b a)>
#<alt (* -1 (* b (- (/ c (pow b 2)) (/ 1 a))))>
#<alt (* -1 (* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))>
#<alt (* -1 (* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a))))>
#<alt (/ c b)>
#<alt (* c (+ (/ 1 b) (/ (* a c) (pow b 3))))>
#<alt (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))>
#<alt (* c (+ (* c (+ (* c (+ (* 1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))) (* 2 (/ (pow a 2) (pow b 5))))) (/ a (pow b 3)))) (/ 1 b)))>
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* 1/2 (/ b (* a c)))))>
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (/ b (* a c))))))>
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (* 1/2 (/ b (* a c)))))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1/2 (/ b (* a c))))))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 1/2 (/ b a))) c)))))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* 1/2 (/ b a))) c)))))>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (* -2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))>
#<alt (+ (* -2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* -2 (/ b (* a (* c (pow (sqrt -4) 2))))))>
#<alt (+ (* -2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* b (- (* -1 (* b (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))))) (* 2 (/ 1 (* a (* c (pow (sqrt -4) 2))))))))>
#<alt (+ (* -2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* b (- (* b (- (* b (- (/ 1 (* (pow a 2) (* (pow c 2) (pow (sqrt -4) 4)))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4))))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))))) (* 2 (/ 1 (* a (* c (pow (sqrt -4) 2))))))))>
#<alt (/ b (* a c))>
#<alt (* b (- (/ 1 (* a c)) (/ 1 (pow b 2))))>
#<alt (* b (- (+ (* -1 (/ (+ (* -1 (* a c)) (* 2 (* a c))) (pow b 4))) (/ 1 (* a c))) (/ 1 (pow b 2))))>
#<alt (* b (- (+ (* -1 (/ (+ (* -2 (* (pow a 2) (pow c 2))) (+ (* -1 (* a (* c (+ (* -1 (* a c)) (* 2 (* a c)))))) (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) (pow c 2)))))) (pow b 6))) (/ 1 (* a c))) (+ (* -1 (/ (* a c) (pow b 4))) (+ (* 2 (/ (* a c) (pow b 4))) (/ 1 (pow b 2))))))>
#<alt (/ 1 b)>
#<alt (* -1 (/ (- (* -1 (/ (* a c) (pow b 2))) 1) b))>
#<alt (* -1 (/ (- (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 1 (/ (* a c) (pow b 2)))) b))>
#<alt (* -1 (/ (- (* -1 (/ (+ (* 4 (* (pow a 3) (pow c 3))) (* (pow a 3) (pow c 3))) (pow b 6))) (+ 1 (+ (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (/ (* a c) (pow b 2))))) b))>
#<alt (/ b (* a c))>
#<alt (/ (+ (* -1 (/ c b)) (/ b a)) c)>
#<alt (/ (+ (* c (- (* -1 (* c (+ (* -1 (/ a (pow b 3))) (* 2 (/ a (pow b 3)))))) (/ 1 b))) (/ b a)) c)>
#<alt (/ (+ (* c (- (* c (- (* -1 (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (+ (* -1 (/ (* a (+ (* -1 (/ a (pow b 3))) (* 2 (/ a (pow b 3))))) (pow b 2))) (* 1/4 (/ (* b (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (pow a 2))))))) (+ (* -1 (/ a (pow b 3))) (* 2 (/ a (pow b 3)))))) (/ 1 b))) (/ b a)) c)>
#<alt (* -2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))>
#<alt (/ (+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* -2 (/ b (* a (pow (sqrt -4) 2))))) c)>
#<alt (/ (- (+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2)))) (* 2 (/ b (* a (pow (sqrt -4) 2))))) c)>
#<alt (/ (- (+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1 (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -4) 4)))) (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow c 3)))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (/ b (* a (pow (sqrt -4) 2))))))) c)>
#<alt (* (sqrt (/ 1 (* a c))) (sqrt -1))>
#<alt (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) c))>
#<alt (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (* -1/2 (/ (* b c) a))) c))) c))>
#<alt (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (+ (* -1/16 (/ (* (pow b 3) c) (pow a 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))) c)) (* -1/2 (/ (* b c) a))) c))) c))>
#<alt (/ b (* a c))>
#<alt (/ (+ (* -1 (/ a b)) (/ b c)) a)>
#<alt (/ (+ (* a (- (* -1 (* a (+ (* -1 (/ c (pow b 3))) (* 2 (/ c (pow b 3)))))) (/ 1 b))) (/ b c)) a)>
#<alt (/ (+ (* a (- (* a (- (* -1 (* a (+ (* -2 (/ (pow c 2) (pow b 5))) (+ (* -1 (/ (* c (+ (* -1 (/ c (pow b 3))) (* 2 (/ c (pow b 3))))) (pow b 2))) (* 1/4 (/ (* b (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) (pow c 2))))))) (+ (* -1 (/ c (pow b 3))) (* 2 (/ c (pow b 3)))))) (/ 1 b))) (/ b c)) a)>
#<alt (* -2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))>
#<alt (/ (+ (* -2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* -2 (/ b (* c (pow (sqrt -4) 2))))) a)>
#<alt (/ (- (+ (* -2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2)))) (* 2 (/ b (* c (pow (sqrt -4) 2))))) a)>
#<alt (/ (- (+ (* -2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1 (/ (* (pow a 2) (pow b 3)) (* (pow c 2) (pow (sqrt -4) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow a 3)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* 2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (/ b (* c (pow (sqrt -4) 2))))))) a)>
#<alt (* (sqrt (/ 1 (* a c))) (sqrt -1))>
#<alt (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1/2 (/ b c))) a))>
#<alt (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1))))) (* -1/2 (/ (* a b) c))) a))) a))>
#<alt (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (+ (* -1/16 (/ (* a (pow b 3)) (pow c 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))))) a)) (* -1/2 (/ (* a b) c))) a))) a))>
#<alt (* -1 (* (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 (/ (* a c) b))>
#<alt (/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) 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 (/ (- (* 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)>
#<alt (* 2 b)>
#<alt (* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 2)))>
#<alt (* -1 (* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2)))))))>
#<alt (* -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))))))))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b))))>
#<alt (* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b))))>
#<alt (* 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))))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -4)))>
#<alt (* c (- (/ b c) (* (sqrt (/ a c)) (sqrt -4))))>
#<alt (* c (- (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))>
#<alt (* 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)))))>
#<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))))))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b))))>
#<alt (* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b))))>
#<alt (* 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))))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -4)))>
#<alt (* a (- (/ b a) (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (* a (- (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (* 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)))))>
#<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 (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)>
Calls

114 calls:

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

rewrite356.0ms (2.9%)

Memory
4.6MiB live, 599.4MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 600×/-lowering-/.f32
5 600×/-lowering-/.f64
3 350×accelerator-lowering-fma.f32
3 350×accelerator-lowering-fma.f64
2 790×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032150
1206129
22265123
08821116
Stop Event
iter limit
node limit
Counts
18 → 1 513
Calls
Call 1
Inputs
(+ (/ (sqrt (+ (* b b) (* c (* a -4)))) (/ a -1/2)) (/ b (/ a -1/2)))
(/ (sqrt (+ (* b b) (* c (* a -4)))) (/ a -1/2))
(sqrt (+ (* b b) (* c (* a -4))))
(+ (* b b) (* c (* a -4)))
(/ b a)
(* (- 0 b) (/ (* a -1) (* a a)))
(/ (* a -1) (* a a))
(- 0 b)
(* a -1)
(/ (/ b a) (/ 1 a))
(* (/ (/ b a) (/ 1 a)) (/ (/ b a) b))
(/ (/ b a) b)
(- 0 (* (/ (/ b a) (/ 1 a)) (/ (/ b a) b)))
(/ (/ 1 a) (/ 2 (- b (sqrt (+ (* b b) (* c (* a -4)))))))
(/ 1 a)
(/ 2 (- b (sqrt (+ (* b b) (* c (* a -4))))))
(- b (sqrt (+ (* b b) (* c (* a -4)))))
(* a a)
Outputs
(+.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (/.f64 a #s(literal -1/2 binary64))) (/.f64 b (/.f64 a #s(literal -1/2 binary64))))
(+.f64 (/.f64 b (/.f64 a #s(literal -1/2 binary64))) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (/.f64 a #s(literal -1/2 binary64))))
(-.f64 (/.f64 (/.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (/.f64 (*.f64 a a) #s(literal 1/4 binary64))) (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b) (/.f64 a #s(literal -1/2 binary64)))) (/.f64 (/.f64 (*.f64 b b) (/.f64 (*.f64 a a) #s(literal 1/4 binary64))) (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b) (/.f64 a #s(literal -1/2 binary64)))))
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(/.f64 (+.f64 (neg.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal 3/2 binary64))) (*.f64 b (*.f64 b b))) (+.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (-.f64 (*.f64 b b) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) b))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 b (*.f64 b b)) (+.f64 (+.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (+.f64 (+.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (*.f64 b (*.f64 b b)) (+.f64 (+.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (/.f64 (*.f64 b (*.f64 b b)) (+.f64 (+.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))))) (+.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (+.f64 (+.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (/.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (+.f64 (+.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))))) (*.f64 (/.f64 (*.f64 b (*.f64 b b)) (+.f64 (+.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (/.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (+.f64 (+.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (+.f64 (*.f64 (/.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (/.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (*.f64 (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (/.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) #s(literal -1 binary64))
(*.f64 (-.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))))
(*.f64 (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))))
(exp.f64 (*.f64 (log.f64 a) #s(literal 2 binary64)))
(pow.f64 a #s(literal 2 binary64))
(pow.f64 (*.f64 a a) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -2 binary64))
(pow.f64 (-.f64 #s(literal 0 binary64) a) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) #s(literal -1 binary64))
(pow.f64 (exp.f64 (log.f64 a)) #s(literal 2 binary64))
(*.f64 a a)
(*.f64 (*.f64 a a) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 a a))
(*.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 #s(literal 0 binary64) a))
(*.f64 (exp.f64 (log.f64 a)) (exp.f64 (log.f64 a)))

simplify546.0ms (4.5%)

Memory
43.7MiB live, 704.4MiB allocated
Algorithm
egg-herbie
Rules
10 892×accelerator-lowering-fma.f32
10 892×accelerator-lowering-fma.f64
8 252×*-lowering-*.f32
8 252×*-lowering-*.f64
5 282×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09967037
132696824
091126548
Stop Event
iter limit
node limit
Counts
456 → 456
Calls
Call 1
Inputs
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ 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)))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))
(* -1 (/ b a))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))
(* -1 (/ c b))
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))
(* -1 (/ b a))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))
(* (sqrt (/ c a)) (sqrt -1))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)))))
(* -1 (/ b a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -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)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -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))) (* (pow b 2) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* (pow b 2) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))))))))
(* -1/2 (/ b a))
(* b (- (/ c (pow b 2)) (* 1/2 (/ 1 a))))
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (* 1/2 (/ 1 a))))
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (* 1/2 (/ 1 a))))
(* 1/2 (/ b a))
(* -1 (* b (- (/ c (pow b 2)) (* 1/2 (/ 1 a)))))
(* -1 (* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (* 1/2 (/ 1 a)))))
(* -1 (* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (* 1/2 (/ 1 a)))))
(* -1/2 (/ b a))
(+ (* -1/2 (/ b a)) (/ c b))
(+ (* -1/2 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))
(+ (* -1/2 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4))))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))
(* (sqrt (/ c a)) (sqrt -1))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1))))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (+ (* -1/1024 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))))))))
(* -1/2 (/ b a))
(/ (+ (* -1/2 b) (/ (* a c) b)) a)
(/ (+ (* -1/2 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/ (+ (* -1/2 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -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))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3))))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/1024 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* (sqrt (* a c)) (sqrt -4))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))
b
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 b)
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
(* -4 (* a c))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(pow b 2)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(pow b 2)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* -4 (* a c))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* -4 (* a c))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* -4 (* a c))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* -4 (* a c))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ 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 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
b
b
b
b
b
b
b
b
b
b
b
b
b
b
b
b
b
b
b
b
b
b
b
b
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ 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 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 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 (/ b a))
(/ c b)
(+ (/ c b) (/ (* a (pow c 2)) (pow b 3)))
(+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b))
(+ (* a (+ (* a (+ (* 1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)) (* 2 (/ (pow c 3) (pow b 5))))) (/ (pow c 2) (pow b 3)))) (/ c b))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -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 (/ b a))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (* 1/2 (/ b a)))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* 1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/2 b) (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* -1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* 1/2 (/ 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)))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (+ (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))
(/ c b)
(/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)
(/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b)
(/ b a)
(* -1 (* b (- (/ c (pow b 2)) (/ 1 a))))
(* -1 (* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))
(* -1 (* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a))))
(/ c b)
(* c (+ (/ 1 b) (/ (* a c) (pow b 3))))
(* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))
(* c (+ (* c (+ (* c (+ (* 1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))) (* 2 (/ (pow a 2) (pow b 5))))) (/ a (pow b 3)))) (/ 1 b)))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* 1/2 (/ b (* a c)))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (/ b (* a c))))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (* 1/2 (/ b (* a c)))))))
(* (sqrt (/ c a)) (sqrt -1))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1/2 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 1/2 (/ b a))) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* 1/2 (/ b 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)
(* -2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))
(+ (* -2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* -2 (/ b (* a (* c (pow (sqrt -4) 2))))))
(+ (* -2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* b (- (* -1 (* b (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))))) (* 2 (/ 1 (* a (* c (pow (sqrt -4) 2))))))))
(+ (* -2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* b (- (* b (- (* b (- (/ 1 (* (pow a 2) (* (pow c 2) (pow (sqrt -4) 4)))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4))))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))))) (* 2 (/ 1 (* a (* c (pow (sqrt -4) 2))))))))
(/ b (* a c))
(* b (- (/ 1 (* a c)) (/ 1 (pow b 2))))
(* b (- (+ (* -1 (/ (+ (* -1 (* a c)) (* 2 (* a c))) (pow b 4))) (/ 1 (* a c))) (/ 1 (pow b 2))))
(* b (- (+ (* -1 (/ (+ (* -2 (* (pow a 2) (pow c 2))) (+ (* -1 (* a (* c (+ (* -1 (* a c)) (* 2 (* a c)))))) (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) (pow c 2)))))) (pow b 6))) (/ 1 (* a c))) (+ (* -1 (/ (* a c) (pow b 4))) (+ (* 2 (/ (* a c) (pow b 4))) (/ 1 (pow b 2))))))
(/ 1 b)
(* -1 (/ (- (* -1 (/ (* a c) (pow b 2))) 1) b))
(* -1 (/ (- (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 1 (/ (* a c) (pow b 2)))) b))
(* -1 (/ (- (* -1 (/ (+ (* 4 (* (pow a 3) (pow c 3))) (* (pow a 3) (pow c 3))) (pow b 6))) (+ 1 (+ (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (/ (* a c) (pow b 2))))) b))
(/ b (* a c))
(/ (+ (* -1 (/ c b)) (/ b a)) c)
(/ (+ (* c (- (* -1 (* c (+ (* -1 (/ a (pow b 3))) (* 2 (/ a (pow b 3)))))) (/ 1 b))) (/ b a)) c)
(/ (+ (* c (- (* c (- (* -1 (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (+ (* -1 (/ (* a (+ (* -1 (/ a (pow b 3))) (* 2 (/ a (pow b 3))))) (pow b 2))) (* 1/4 (/ (* b (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (pow a 2))))))) (+ (* -1 (/ a (pow b 3))) (* 2 (/ a (pow b 3)))))) (/ 1 b))) (/ b a)) c)
(* -2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))
(/ (+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* -2 (/ b (* a (pow (sqrt -4) 2))))) c)
(/ (- (+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2)))) (* 2 (/ b (* a (pow (sqrt -4) 2))))) c)
(/ (- (+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1 (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -4) 4)))) (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow c 3)))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (/ b (* a (pow (sqrt -4) 2))))))) c)
(* (sqrt (/ 1 (* a c))) (sqrt -1))
(* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) c))
(* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (* -1/2 (/ (* b c) a))) c))) c))
(* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (+ (* -1/16 (/ (* (pow b 3) c) (pow a 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))) c)) (* -1/2 (/ (* b c) a))) c))) c))
(/ b (* a c))
(/ (+ (* -1 (/ a b)) (/ b c)) a)
(/ (+ (* a (- (* -1 (* a (+ (* -1 (/ c (pow b 3))) (* 2 (/ c (pow b 3)))))) (/ 1 b))) (/ b c)) a)
(/ (+ (* a (- (* a (- (* -1 (* a (+ (* -2 (/ (pow c 2) (pow b 5))) (+ (* -1 (/ (* c (+ (* -1 (/ c (pow b 3))) (* 2 (/ c (pow b 3))))) (pow b 2))) (* 1/4 (/ (* b (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) (pow c 2))))))) (+ (* -1 (/ c (pow b 3))) (* 2 (/ c (pow b 3)))))) (/ 1 b))) (/ b c)) a)
(* -2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))
(/ (+ (* -2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* -2 (/ b (* c (pow (sqrt -4) 2))))) a)
(/ (- (+ (* -2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2)))) (* 2 (/ b (* c (pow (sqrt -4) 2))))) a)
(/ (- (+ (* -2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1 (/ (* (pow a 2) (pow b 3)) (* (pow c 2) (pow (sqrt -4) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow a 3)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* 2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (/ b (* c (pow (sqrt -4) 2))))))) a)
(* (sqrt (/ 1 (* a c))) (sqrt -1))
(* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1/2 (/ b c))) a))
(* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1))))) (* -1/2 (/ (* a b) c))) a))) a))
(* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (+ (* -1/16 (/ (* a (pow b 3)) (pow c 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))))) a)) (* -1/2 (/ (* a b) c))) a))) 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))
(* 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))))))
(* 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))))))
(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)
Outputs
(* -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 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(*.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)))))
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(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))
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b
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b
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(* 2 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 c a)))
(* -1 (* c (- (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 b c)) (*.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)))) (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 (+.f64 (/.f64 (+.f64 b (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))))) (neg.f64 c)) (*.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)))) (neg.f64 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))))))
(*.f64 (+.f64 (/.f64 (-.f64 b (/.f64 (+.f64 (*.f64 (*.f64 #s(literal 1/64 binary64) (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)))) (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64)))))) c)) (neg.f64 c)) (*.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)))) (neg.f64 c))
(* 2 (/ (* a c) b))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 c a)) b)
(* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b))))
(*.f64 a (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 c b) (/.f64 (*.f64 c (*.f64 c a)) (*.f64 b (*.f64 b b))))))
(* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b))))
(*.f64 a (+.f64 (*.f64 a (+.f64 (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 c (*.f64 c c))) a) (pow.f64 b #s(literal 5 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b)))))) (*.f64 #s(literal 2 binary64) (/.f64 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))))
(*.f64 a (+.f64 (*.f64 a (+.f64 (*.f64 a (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)))) b) (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64)))))) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b)))))) (*.f64 #s(literal 2 binary64) (/.f64 c b))))
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(*.f64 (sqrt.f64 (*.f64 c a)) (neg.f64 (sqrt.f64 #s(literal -4 binary64))))
(* a (- (/ b a) (* (sqrt (/ c a)) (sqrt -4))))
(*.f64 a (-.f64 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))))
(* a (- (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(*.f64 a (+.f64 (/.f64 b a) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 b b)) (sqrt.f64 #s(literal -4 binary64)))) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))))
(* a (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ b a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(*.f64 a (+.f64 (/.f64 b a) (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (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)))))) (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (*.f64 #s(literal 1/2 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))))))))
(* 2 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 c a)))
(* -1 (* a (- (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(*.f64 (-.f64 #s(literal 0 binary64) a) (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 b a)) (*.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)))))
(* -1 (* a (- (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(*.f64 (-.f64 #s(literal 0 binary64) a) (+.f64 (/.f64 (+.f64 b (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))))) (-.f64 #s(literal 0 binary64) a)) (*.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c 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))))))
(*.f64 (-.f64 #s(literal 0 binary64) a) (+.f64 (/.f64 (-.f64 b (/.f64 (+.f64 (*.f64 (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 c (*.f64 c c))))) #s(literal 1/64 binary64)) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 a c)))) a)) (-.f64 #s(literal 0 binary64) a)) (*.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c 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)
(pow a 2)
(*.f64 a a)

eval608.0ms (5%)

Memory
-70.0MiB live, 620.8MiB allocated
Compiler

Compiled 58 337 to 6 030 computations (89.7% saved)

prune518.0ms (4.2%)

Memory
-36.2MiB live, 863.9MiB allocated
Pruning

67 alts after pruning (63 fresh and 4 done)

PrunedKeptTotal
New2 724422 766
Fresh62127
Picked325
Done022
Total2 733672 800
Accuracy
96.1%
Counts
2 800 → 67
Alt Table
Click to see full alt table
StatusAccuracyProgram
31.4%
(/.f64 (/.f64 (/.f64 b a) a) (/.f64 #s(literal -1 binary64) a))
4.7%
(/.f64 (/.f64 (*.f64 c (*.f64 a a)) b) (*.f64 a a))
3.4%
(/.f64 (/.f64 b (/.f64 a b)) (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b a)))
2.4%
(/.f64 (/.f64 b (/.f64 a b)) b)
18.1%
(/.f64 (/.f64 b (*.f64 a (/.f64 a b))) (-.f64 #s(literal 0 binary64) (/.f64 b a)))
33.9%
(/.f64 (/.f64 a (*.f64 a a)) (/.f64 #s(literal 2 binary64) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))))
10.3%
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (-.f64 (/.f64 b a) (/.f64 c b)) c))
10.0%
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 b (*.f64 c a)))
31.1%
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 2 binary64) (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
2.5%
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
23.5%
(/.f64 (-.f64 (*.f64 (/.f64 b #s(literal 2 binary64)) a) (*.f64 a (/.f64 (sqrt.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64))) #s(literal 2 binary64)))) (*.f64 a a))
48.6%
(/.f64 (-.f64 (neg.f64 b) (/.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a))
57.7%
(/.f64 (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (*.f64 #s(literal 2 binary64) a))
37.6%
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (*.f64 c (/.f64 a (*.f64 b b)))))))) (*.f64 #s(literal 2 binary64) a))
40.8%
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))
1.7%
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (-.f64 #s(literal 0 binary64) a)) (*.f64 b (*.f64 a a)))
2.0%
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) (*.f64 a #s(literal -1 binary64))) (*.f64 a a))
31.0%
(/.f64 (neg.f64 (/.f64 b (/.f64 a b))) b)
18.5%
(/.f64 (exp.f64 (*.f64 (log.f64 a) #s(literal -1 binary64))) (/.f64 #s(literal 2 binary64) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))))
10.1%
(/.f64 c b)
5.5%
(/.f64 b (*.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 b a)))
38.5%
(/.f64 b (neg.f64 a))
2.5%
(/.f64 b a)
5.5%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 b (*.f64 b a))))
31.4%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (/.f64 b a) a)))
18.0%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 b a)) (/.f64 b (*.f64 a (/.f64 a b)))))
31.1%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 a (*.f64 b #s(literal -1/2 binary64))) (/.f64 a #s(literal -1/2 binary64))) (+.f64 (/.f64 a #s(literal -1/2 binary64)) (*.f64 (/.f64 a (*.f64 b #s(literal -1/2 binary64))) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))))
2.0%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (-.f64 #s(literal 0 binary64) a)) (*.f64 (-.f64 #s(literal 0 binary64) b) a)))
2.5%
(/.f64 #s(literal 1 binary64) (/.f64 a b))
38.4%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 b a))))
10.0%
(/.f64 #s(literal 1/2 binary64) (/.f64 a (/.f64 (*.f64 (*.f64 a c) #s(literal 2 binary64)) b)))
40.7%
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))))
31.1%
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b (sqrt.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64))))))
39.6%
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))))))
38.4%
(/.f64 #s(literal -1 binary64) (/.f64 a b))
38.3%
(-.f64 (/.f64 c b) (/.f64 b a))
31.1%
(-.f64 #s(literal 0 binary64) (/.f64 c b))
25.3%
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (/.f64 b (*.f64 b a)) (-.f64 #s(literal 0 binary64) (/.f64 b a))))))
31.4%
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (/.f64 (/.f64 (/.f64 b a) a) (/.f64 #s(literal 1 binary64) a)) (/.f64 #s(literal 1 binary64) a)) (/.f64 (/.f64 b a) b)))
37.9%
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (/.f64 (/.f64 b a) (*.f64 b (/.f64 #s(literal 1 binary64) b))) (/.f64 #s(literal 1 binary64) a)) (/.f64 (/.f64 b a) b)))
20.0%
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (/.f64 b a) (/.f64 a (*.f64 a a))) (/.f64 (/.f64 b a) b)))
38.0%
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (/.f64 b a) (/.f64 #s(literal 1 binary64) a)) (/.f64 (/.f64 b a) b)))
20.2%
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (/.f64 b a) (/.f64 #s(literal 1 binary64) a)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 b a)) (*.f64 (/.f64 b a) (-.f64 #s(literal 0 binary64) (/.f64 b a))))) b)))
20.4%
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (/.f64 b a) (exp.f64 (*.f64 (log.f64 a) #s(literal -1 binary64)))) (/.f64 (/.f64 b a) b)))
25.0%
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 b a)) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 b a)) b))) (/.f64 #s(literal 1 binary64) a)) (/.f64 (/.f64 b a) b)))
30.7%
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (*.f64 (/.f64 b (*.f64 b a)) b) (/.f64 #s(literal 1 binary64) a)) (/.f64 (/.f64 b a) b)))
18.0%
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) a)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) b)))
31.0%
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 b (/.f64 a b)) (/.f64 #s(literal 1 binary64) b)))
30.7%
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 b a) (/.f64 (/.f64 b (*.f64 b a)) (/.f64 #s(literal 1 binary64) a))))
22.8%
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) a) (/.f64 #s(literal -1 binary64) (*.f64 a a))))
34.1%
(-.f64 #s(literal 0 binary64) (*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 b) #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 b)))) (/.f64 (/.f64 b a) b)))
34.6%
(-.f64 #s(literal 0 binary64) (*.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 1 binary64))) (/.f64 (/.f64 b a) b)))
38.5%
(+.f64 (/.f64 b (/.f64 a #s(literal -1/2 binary64))) (/.f64 b (/.f64 a #s(literal -1/2 binary64))))
24.7%
(*.f64 (/.f64 (*.f64 a c) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal -2 binary64) b) a))
2.5%
(*.f64 (/.f64 #s(literal 1 binary64) a) b)
37.9%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 (*.f64 b #s(literal 2 binary64)) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64))))
58.2%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
38.0%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (*.f64 a (/.f64 c (*.f64 b b)))))))))
40.7%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64)))))
5.1%
(*.f64 (-.f64 #s(literal 0 binary64) b) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 a a)) a))
1.6%
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) (*.f64 b b))) (/.f64 (*.f64 a #s(literal -1 binary64)) (*.f64 a a)))
2.9%
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (/.f64 #s(literal 1 binary64) b)) (/.f64 (*.f64 a #s(literal -1 binary64)) (*.f64 a a)))
2.0%
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) a) (/.f64 #s(literal -1 binary64) (*.f64 a a)))
30.7%
(*.f64 (neg.f64 (/.f64 b (*.f64 b a))) b)
58.2%
(*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) a) (/.f64 b a)))
24.2%
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a c) (*.f64 a b)))
4.5%
(exp.f64 (*.f64 (log.f64 (/.f64 a b)) #s(literal -1 binary64)))
Compiler

Compiled 2 204 to 1 437 computations (34.8% saved)

simplify251.0ms (2.1%)

Memory
33.0MiB live, 355.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64)))
cost-diff0
(+.f64 b (sqrt.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64))))
cost-diff0
(/.f64 #s(literal -1/2 binary64) a)
cost-diff0
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64)))))
cost-diff0
(/.f64 a b)
cost-diff0
(/.f64 b (/.f64 a b))
cost-diff256
(/.f64 (/.f64 b (/.f64 a b)) (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b a)))
cost-diff384
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b a))
cost-diff0
(/.f64 #s(literal -1 binary64) a)
cost-diff0
(/.f64 b a)
cost-diff0
(/.f64 (/.f64 b a) a)
cost-diff256
(/.f64 (/.f64 (/.f64 b a) a) (/.f64 #s(literal -1 binary64) a))
cost-diff0
(/.f64 c b)
cost-diff0
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))
cost-diff0
(/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) a)
cost-diff0
(+.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) a) (/.f64 b a))
cost-diff128
(*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) a) (/.f64 b a)))
Rules
8 516×*-lowering-*.f32
8 516×*-lowering-*.f64
1 882×distribute-rgt-neg-in
1 840×/-lowering-/.f32
1 840×/-lowering-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032175
178175
2182170
3461168
41251168
51746168
62778168
74542168
87696168
08236163
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(* -1/2 (+ (/ (sqrt (+ (* b b) (* c (* a -4)))) a) (/ b a)))
-1/2
(+ (/ (sqrt (+ (* b b) (* c (* a -4)))) a) (/ b a))
(/ (sqrt (+ (* b b) (* c (* a -4)))) a)
(sqrt (+ (* b b) (* c (* a -4))))
(+ (* b b) (* c (* a -4)))
(* b b)
b
(* c (* a -4))
c
(* a -4)
a
-4
(/ b a)
(/ c b)
c
b
(/ (/ (/ b a) a) (/ -1 a))
(/ (/ b a) a)
(/ b a)
b
a
(/ -1 a)
-1
(/ (/ b (/ a b)) (* (/ 1 a) (* b a)))
(/ b (/ a b))
b
(/ a b)
a
(* (/ 1 a) (* b a))
(/ 1 a)
1
(* b a)
(* (/ -1/2 a) (+ b (sqrt (* (* a c) -4))))
(/ -1/2 a)
-1/2
a
(+ b (sqrt (* (* a c) -4)))
b
(sqrt (* (* a c) -4))
(* (* a c) -4)
(* a c)
c
-4
Outputs
(* -1/2 (+ (/ (sqrt (+ (* b b) (* c (* a -4)))) a) (/ b a)))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))
-1/2
#s(literal -1/2 binary64)
(+ (/ (sqrt (+ (* b b) (* c (* a -4)))) a) (/ b a))
(+.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) a) (/.f64 b a))
(/ (sqrt (+ (* b b) (* c (* a -4)))) a)
(/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) a)
(sqrt (+ (* b b) (* c (* a -4))))
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))
(+ (* b b) (* c (* a -4)))
(+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))
(* b b)
(*.f64 b b)
b
(* c (* a -4))
(*.f64 a (*.f64 c #s(literal -4 binary64)))
c
(* a -4)
(*.f64 a #s(literal -4 binary64))
a
-4
#s(literal -4 binary64)
(/ b a)
(/.f64 b a)
(/ c b)
(/.f64 c b)
c
b
(/ (/ (/ b a) a) (/ -1 a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(/ (/ b a) a)
(/.f64 b (*.f64 a a))
(/ b a)
(/.f64 b a)
b
a
(/ -1 a)
(/.f64 #s(literal -1 binary64) a)
-1
#s(literal -1 binary64)
(/ (/ b (/ a b)) (* (/ 1 a) (* b a)))
(/.f64 b a)
(/ b (/ a b))
(/.f64 b (/.f64 a b))
b
(/ a b)
(/.f64 a b)
a
(* (/ 1 a) (* b a))
b
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
1
#s(literal 1 binary64)
(* b a)
(*.f64 b a)
(* (/ -1/2 a) (+ b (sqrt (* (* a c) -4))))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))))
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
-1/2
#s(literal -1/2 binary64)
a
(+ b (sqrt (* (* a c) -4)))
(+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))))
b
(sqrt (* (* a c) -4))
(sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))
(* (* a c) -4)
(*.f64 a (*.f64 c #s(literal -4 binary64)))
(* a c)
(*.f64 c a)
c
-4
#s(literal -4 binary64)

localize121.0ms (1%)

Memory
-1.6MiB live, 153.7MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 b (sqrt.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64))))
accuracy100.0%
(*.f64 (*.f64 a c) #s(literal -4 binary64))
accuracy99.3%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64)))))
accuracy89.9%
(sqrt.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64)))
accuracy100.0%
(*.f64 b a)
accuracy99.9%
(/.f64 b (/.f64 a b))
accuracy84.9%
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b a))
accuracy80.7%
(/.f64 (/.f64 b (/.f64 a b)) (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b a)))
accuracy100.0%
(/.f64 b a)
accuracy100.0%
(/.f64 #s(literal -1 binary64) a)
accuracy99.9%
(/.f64 (/.f64 b a) a)
accuracy85.4%
(/.f64 (/.f64 (/.f64 b a) a) (/.f64 #s(literal -1 binary64) a))
accuracy100.0%
(/.f64 c b)
accuracy100.0%
(*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) a) (/.f64 b a)))
accuracy99.9%
(/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) a)
accuracy89.3%
(+.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) a) (/.f64 b a))
accuracy81.5%
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))
Samples
39.0ms135×0valid
20.0ms85×0invalid
8.0ms16×2valid
8.0ms20×1valid
Compiler

Compiled 193 to 34 computations (82.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 53.0ms
ival-mult: 23.0ms (43.1% of total)
ival-div: 18.0ms (33.7% of total)
ival-sqrt: 6.0ms (11.2% of total)
ival-add: 4.0ms (7.5% of total)
adjust: 1.0ms (1.9% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series27.0ms (0.2%)

Memory
5.3MiB live, 43.6MiB allocated
Counts
19 → 504
Calls
Call 1
Inputs
#<alt (* -1/2 (+ (/ (sqrt (+ (* b b) (* c (* a -4)))) a) (/ b a)))>
#<alt (+ (/ (sqrt (+ (* b b) (* c (* a -4)))) a) (/ b a))>
#<alt (/ (sqrt (+ (* b b) (* c (* a -4)))) a)>
#<alt (sqrt (+ (* b b) (* c (* a -4))))>
#<alt (/ c b)>
#<alt (/ (/ (/ b a) a) (/ -1 a))>
#<alt (/ (/ b a) a)>
#<alt (/ b a)>
#<alt (/ -1 a)>
#<alt (* (/ 1 a) (* b a))>
#<alt (/ (/ b (/ a b)) (* (/ 1 a) (* b a)))>
#<alt (/ b (/ a b))>
#<alt (/ a b)>
#<alt (* (/ -1/2 a) (+ b (sqrt (* (* a c) -4))))>
#<alt (/ -1/2 a)>
#<alt (+ b (sqrt (* (* a c) -4)))>
#<alt (sqrt (* (* a c) -4))>
#<alt (* b a)>
#<alt (* (* a c) -4)>
Outputs
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))>
#<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 (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))>
#<alt (* -1 (/ b a))>
#<alt (* b (- (/ c (pow b 2)) (/ 1 a)))>
#<alt (* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))>
#<alt (* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))>
#<alt (* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))>
#<alt (* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))>
#<alt (* -1 (/ b a))>
#<alt (+ (* -1 (/ b a)) (/ c b))>
#<alt (+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))>
#<alt (+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))>
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))>
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))>
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)))))>
#<alt (* -1 (/ b a))>
#<alt (/ (+ (* -1 b) (/ (* a c) b)) a)>
#<alt (/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)>
#<alt (/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)>
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* (sqrt (/ c a)) (sqrt -4))>
#<alt (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))>
#<alt (+ (* b (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* b (+ (* b (+ (* -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)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (* 2 (/ b a))>
#<alt (* b (+ (* -2 (/ c (pow b 2))) (* 2 (/ 1 a))))>
#<alt (* b (+ (* -2 (/ c (pow b 2))) (+ (* -2 (/ (* a (pow c 2)) (pow b 4))) (* 2 (/ 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))) (* 2 (/ 1 a))))))>
#<alt (* 2 (/ c b))>
#<alt (* -1 (/ (+ (* -2 c) (* -2 (/ (* a (pow c 2)) (pow b 2)))) b))>
#<alt (* -1 (/ (+ (* -4 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -2 c) (* -2 (/ (* a (pow c 2)) (pow b 2))))) b))>
#<alt (* -1 (/ (+ (* -4 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -2 c) (+ (* -2 (/ (* a (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b))>
#<alt (* 2 (/ b a))>
#<alt (+ (* -2 (/ c b)) (* 2 (/ b a)))>
#<alt (+ (* 2 (/ b a)) (* c (- (* -2 (/ (* a c) (pow b 3))) (* 2 (/ 1 b)))))>
#<alt (+ (* 2 (/ b a)) (* c (- (* c (+ (* -4 (/ (* (pow a 2) c) (pow b 5))) (* -2 (/ a (pow b 3))))) (* 2 (/ 1 b)))))>
#<alt (* (sqrt (/ c a)) (sqrt -4))>
#<alt (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -4)) (/ b (* a c))))>
#<alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ 1 (* a c))) (sqrt -4)) (/ b (* a c)))))>
#<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)) (/ b (* a c))))))>
#<alt (* -2 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* -1 (/ b (* a c))) (* 2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (/ b a)) c)) (* 2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (/ b a)) c)) (* 2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))))>
#<alt (* 2 (/ b a))>
#<alt (/ (+ (* -2 (/ (* a c) b)) (* 2 b)) a)>
#<alt (/ (+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) a)>
#<alt (/ (+ (* 2 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 (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))>
#<alt (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))>
#<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)) (/ b a))))>
#<alt (* -2 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))>
#<alt (+ (* -2 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 b) (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)))>
#<alt (+ (* -2 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a))) 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 (+ (* (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 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 (/ 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 (* (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 (* 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))))))))>
#<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 (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<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 (/ b (pow a 2))>
#<alt (/ b (pow a 2))>
#<alt (/ b (pow a 2))>
#<alt (/ b (pow a 2))>
#<alt (/ b (pow a 2))>
#<alt (/ b (pow a 2))>
#<alt (/ b (pow a 2))>
#<alt (/ b (pow a 2))>
#<alt (/ b (pow a 2))>
#<alt (/ b (pow a 2))>
#<alt (/ b (pow a 2))>
#<alt (/ b (pow a 2))>
#<alt (/ b (pow a 2))>
#<alt (/ b (pow a 2))>
#<alt (/ b (pow a 2))>
#<alt (/ b (pow a 2))>
#<alt (/ b (pow a 2))>
#<alt (/ b (pow a 2))>
#<alt (/ b (pow a 2))>
#<alt (/ b (pow a 2))>
#<alt (/ b (pow a 2))>
#<alt (/ b (pow a 2))>
#<alt (/ b (pow a 2))>
#<alt (/ b (pow a 2))>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ -1 a)>
#<alt (/ -1 a)>
#<alt (/ -1 a)>
#<alt (/ -1 a)>
#<alt (/ -1 a)>
#<alt (/ -1 a)>
#<alt (/ -1 a)>
#<alt (/ -1 a)>
#<alt (/ -1 a)>
#<alt (/ -1 a)>
#<alt (/ -1 a)>
#<alt (/ -1 a)>
#<alt b>
#<alt b>
#<alt b>
#<alt b>
#<alt b>
#<alt b>
#<alt b>
#<alt b>
#<alt b>
#<alt b>
#<alt b>
#<alt b>
#<alt b>
#<alt b>
#<alt b>
#<alt b>
#<alt b>
#<alt b>
#<alt b>
#<alt b>
#<alt b>
#<alt b>
#<alt b>
#<alt b>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (/ a b)>
#<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 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))>
#<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 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))>
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))>
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))>
#<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 (* (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 (* (sqrt (* a c)) (/ (sqrt -4) b))))>
#<alt (* b (+ 1 (* (sqrt (* a c)) (/ (sqrt -4) b))))>
#<alt (* b (+ 1 (* (sqrt (* a c)) (/ (sqrt -4) b))))>
#<alt b>
#<alt (* -1 (* b (- (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b))) 1)))>
#<alt (* -1 (* b (- (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b))) 1)))>
#<alt (* -1 (* b (- (* -1 (* (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 (* (sqrt (* a c)) (sqrt -4))>
#<alt (* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))>
#<alt (* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))>
#<alt (* a (+ (* (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 a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (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 (* (sqrt (* a c)) (sqrt -4))>
#<alt (* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))>
#<alt (* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))>
#<alt (* c (+ (* (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 c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -1 (* c (+ (* -1 (/ b c)) (* 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 (* (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 (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<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))>
Calls

126 calls:

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

rewrite102.0ms (0.8%)

Memory
-7.1MiB live, 148.1MiB allocated
Algorithm
batch-egg-rewrite
Rules
1 120×*-lowering-*.f32
1 120×*-lowering-*.f64
1 016×/-lowering-/.f32
1 016×/-lowering-/.f64
684×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032144
1186139
01680131
Stop Event
iter limit
iter limit
node limit
Counts
19 → 403
Calls
Call 1
Inputs
(* -1/2 (+ (/ (sqrt (+ (* b b) (* c (* a -4)))) a) (/ b a)))
(+ (/ (sqrt (+ (* b b) (* c (* a -4)))) a) (/ b a))
(/ (sqrt (+ (* b b) (* c (* a -4)))) a)
(sqrt (+ (* b b) (* c (* a -4))))
(/ c b)
(/ (/ (/ b a) a) (/ -1 a))
(/ (/ b a) a)
(/ b a)
(/ -1 a)
(* (/ 1 a) (* b a))
(/ (/ b (/ a b)) (* (/ 1 a) (* b a)))
(/ b (/ a b))
(/ a b)
(* (/ -1/2 a) (+ b (sqrt (* (* a c) -4))))
(/ -1/2 a)
(+ b (sqrt (* (* a c) -4)))
(sqrt (* (* a c) -4))
(* b a)
(* (* a c) -4)
Outputs
(+.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (/.f64 #s(literal -1/2 binary64) a)) (/.f64 #s(literal -1/2 binary64) (/.f64 a b)))
(+.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 a b)) (*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (/.f64 #s(literal -1/2 binary64) a)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) a) (/.f64 #s(literal -1/2 binary64) (/.f64 a b)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (/.f64 #s(literal -1/2 binary64) a)))
(fma.f64 b (/.f64 #s(literal -1/2 binary64) a) (*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (/.f64 #s(literal -1/2 binary64) a)))
(fma.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) (/.f64 a b)))
(fma.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) a) #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) (/.f64 a b)))
(fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (/.f64 #s(literal -1/2 binary64) a)))
(fma.f64 (/.f64 #s(literal -1/2 binary64) a) b (*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (/.f64 #s(literal -1/2 binary64) a)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1 binary64) a) (*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (/.f64 #s(literal -1/2 binary64) a)))
(fma.f64 (*.f64 b #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) a) (*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (/.f64 #s(literal -1/2 binary64) a)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1/2 binary64) (/.f64 a b)))
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(fma.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) #s(literal 1/2 binary64)) (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) (/.f64 a b)))
(fma.f64 (pow.f64 (*.f64 c a) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (/.f64 #s(literal -1/2 binary64) a)) (/.f64 #s(literal -1/2 binary64) (/.f64 a b)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1 binary64) a) (/.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) #s(literal 1/2 binary64)) (/.f64 a #s(literal -1/2 binary64))))
(fma.f64 (*.f64 b #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) a) (/.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) #s(literal 1/2 binary64)) (/.f64 a #s(literal -1/2 binary64))))
(fma.f64 (*.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1/2 binary64) (/.f64 a b)))
(fma.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (pow.f64 (*.f64 c a) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal -4 binary64)) (/.f64 #s(literal -1/2 binary64) (/.f64 a b)))
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 #s(literal -1/2 binary64) (+.f64 b (pow.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) #s(literal 1/2 binary64))))))
(/.f64 (+.f64 b (pow.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) #s(literal 1/2 binary64))) (/.f64 a #s(literal -1/2 binary64)))
(/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (pow.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) #s(literal 1/2 binary64)))) a)
(/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) #s(literal 3/2 binary64)))) (*.f64 a (+.f64 (*.f64 b b) (-.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 b (pow.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) #s(literal 1/2 binary64)))))))
(/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 c a)))) (*.f64 a (-.f64 b (pow.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) #s(literal 1/2 binary64)))))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) #s(literal 3/2 binary64)))) (*.f64 (/.f64 a #s(literal -1/2 binary64)) (+.f64 (*.f64 b b) (-.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 b (pow.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) #s(literal 1/2 binary64)))))))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 c a)))) (*.f64 (/.f64 a #s(literal -1/2 binary64)) (-.f64 b (pow.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) #s(literal 1/2 binary64)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) #s(literal 3/2 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) a) (+.f64 (*.f64 b b) (-.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 b (pow.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) #s(literal 1/2 binary64)))))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 c a)))) (*.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 b (pow.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) #s(literal 1/2 binary64)))))
(/.f64 (*.f64 (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) #s(literal 3/2 binary64))) #s(literal -1/2 binary64)) (*.f64 (+.f64 (*.f64 b b) (-.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 b (pow.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) #s(literal 1/2 binary64))))) a))
(/.f64 (*.f64 (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) #s(literal 3/2 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 b b) (-.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 b (pow.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) #s(literal 1/2 binary64))))) (/.f64 a #s(literal -1/2 binary64))))
(/.f64 (*.f64 (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) #s(literal 3/2 binary64))) #s(literal 1/2 binary64)) (*.f64 (+.f64 (*.f64 b b) (-.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 b (pow.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) #s(literal 1/2 binary64))))) (-.f64 #s(literal 0 binary64) a)))
(/.f64 (*.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 c a))) #s(literal -1/2 binary64)) (*.f64 (-.f64 b (pow.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) #s(literal 1/2 binary64))) a))
(/.f64 (*.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 c a))) #s(literal 1 binary64)) (*.f64 (-.f64 b (pow.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) #s(literal 1/2 binary64))) (/.f64 a #s(literal -1/2 binary64))))
(/.f64 (*.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 c a))) #s(literal 1/2 binary64)) (*.f64 (-.f64 b (pow.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) a)))
(/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (pow.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) #s(literal 1/2 binary64))))) (-.f64 #s(literal 0 binary64) a))
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 a b)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) #s(literal 1/2 binary64)) (/.f64 a #s(literal -1/2 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 a b)) (/.f64 #s(literal -1/2 binary64) (/.f64 a b))) (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) #s(literal 1/2 binary64)) (/.f64 a #s(literal -1/2 binary64))) (/.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) #s(literal 1/2 binary64)) (/.f64 a #s(literal -1/2 binary64)))) (*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 a b)) (/.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) #s(literal 1/2 binary64)) (/.f64 a #s(literal -1/2 binary64)))))))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 a b)) (/.f64 #s(literal -1/2 binary64) (/.f64 a b))) (*.f64 (/.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) #s(literal 1/2 binary64)) (/.f64 a #s(literal -1/2 binary64))) (/.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) #s(literal 1/2 binary64)) (/.f64 a #s(literal -1/2 binary64))))) (-.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 a b)) (/.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) #s(literal 1/2 binary64)) (/.f64 a #s(literal -1/2 binary64)))))
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) #s(literal 3/2 binary64)))) (+.f64 (*.f64 b b) (-.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 b (pow.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) #s(literal 1/2 binary64))))))
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 c a)))) (-.f64 b (pow.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) #s(literal 1/2 binary64))))
(/.f64 (*.f64 (+.f64 b (pow.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 a #s(literal -1/2 binary64)))
(/.f64 (*.f64 (+.f64 b (pow.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) a))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 b (pow.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) #s(literal 1/2 binary64)))) (/.f64 a #s(literal -1/2 binary64)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 b (pow.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) #s(literal 1/2 binary64)))) (-.f64 #s(literal 0 binary64) a))
(/.f64 (*.f64 (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) #s(literal 3/2 binary64))) (/.f64 #s(literal -1/2 binary64) a)) (+.f64 (*.f64 b b) (-.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 b (pow.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) #s(literal 1/2 binary64))))))
(/.f64 (*.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 c a))) (/.f64 #s(literal -1/2 binary64) a)) (-.f64 b (pow.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) #s(literal 1/2 binary64))))
(*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 b (pow.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) #s(literal 1/2 binary64)))))
(*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 b (pow.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) #s(literal 1/2 binary64))) a))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (pow.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) #s(literal 1/2 binary64))))
(*.f64 (+.f64 b (pow.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) #s(literal 1/2 binary64))) (/.f64 #s(literal -1/2 binary64) a))
(*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (pow.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) a))
(neg.f64 (/.f64 #s(literal 1/2 binary64) a))
(/.f64 #s(literal -1/2 binary64) a)
(/.f64 #s(literal -1/2 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) a)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 a #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 a #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) a))
(pow.f64 (/.f64 a #s(literal -1/2 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) a))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a))
(*.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) a))
(+.f64 b (pow.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) #s(literal 1/2 binary64)))
(+.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) #s(literal 1/2 binary64)) b)
(-.f64 (/.f64 (*.f64 b b) (-.f64 b (pow.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) #s(literal 1/2 binary64)))) (/.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (-.f64 b (pow.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) #s(literal 1/2 binary64)))))
(fma.f64 (pow.f64 (*.f64 c a) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -4 binary64)) b)
(fma.f64 (sqrt.f64 #s(literal -4 binary64)) (pow.f64 (*.f64 c a) #s(literal 1/2 binary64)) b)
(fma.f64 (pow.f64 c #s(literal 1/2 binary64)) (pow.f64 (*.f64 a #s(literal -4 binary64)) #s(literal 1/2 binary64)) b)
(fma.f64 (pow.f64 (*.f64 a #s(literal -4 binary64)) #s(literal 1/2 binary64)) (pow.f64 c #s(literal 1/2 binary64)) b)
(fma.f64 (pow.f64 a #s(literal 1/2 binary64)) (pow.f64 (*.f64 c #s(literal -4 binary64)) #s(literal 1/2 binary64)) b)
(fma.f64 (sqrt.f64 c) (sqrt.f64 (*.f64 a #s(literal -4 binary64))) b)
(fma.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c #s(literal -4 binary64))) b)
(fma.f64 (sqrt.f64 (*.f64 a #s(literal -4 binary64))) (sqrt.f64 c) b)
(fma.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) #s(literal 1/4 binary64)) b)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 b b) (-.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 b (pow.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) #s(literal 1/2 binary64))))) (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) #s(literal 3/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b (pow.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) #s(literal 1/2 binary64))) (+.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 c a)))))
(/.f64 (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) #s(literal 3/2 binary64))) (+.f64 (*.f64 b b) (-.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 b (pow.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) #s(literal 1/2 binary64))))))
(/.f64 (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) #s(literal 3/2 binary64))) (+.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (-.f64 (*.f64 b b) (*.f64 b (pow.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) #s(literal 1/2 binary64))))))
(/.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 c a))) (-.f64 b (pow.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) #s(literal 3/2 binary64)))) (neg.f64 (+.f64 (*.f64 b b) (-.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 b (pow.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) #s(literal 1/2 binary64)))))))
(/.f64 (neg.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 c a)))) (neg.f64 (-.f64 b (pow.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 b b)) (-.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) #s(literal 1/2 binary64)) b))
(*.f64 (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (-.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 b (pow.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) #s(literal 1/2 binary64)))))))
(*.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 c a))) (/.f64 #s(literal 1 binary64) (-.f64 b (pow.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal 1/2 binary64)))
(sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))
(pow.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) #s(literal 1/2 binary64))
(*.f64 (pow.f64 (*.f64 c a) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -4 binary64)))
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (pow.f64 (*.f64 c a) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 c #s(literal 1/2 binary64)) (pow.f64 (*.f64 a #s(literal -4 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 a #s(literal -4 binary64)) #s(literal 1/2 binary64)) (pow.f64 c #s(literal 1/2 binary64)))
(*.f64 (pow.f64 a #s(literal 1/2 binary64)) (pow.f64 (*.f64 c #s(literal -4 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 c) (sqrt.f64 (*.f64 a #s(literal -4 binary64))))
(*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c #s(literal -4 binary64))))
(*.f64 (sqrt.f64 (*.f64 a #s(literal -4 binary64))) (sqrt.f64 c))
(*.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) #s(literal 1/4 binary64)))
(*.f64 b a)
(*.f64 a b)
(*.f64 #s(literal 1 binary64) (*.f64 b a))
(*.f64 (*.f64 b a) #s(literal 1 binary64))
(*.f64 (*.f64 #s(literal 1 binary64) a) b)
(*.f64 (*.f64 #s(literal 1 binary64) b) a)
(sqrt.f64 (*.f64 #s(literal 16 binary64) (*.f64 (*.f64 c a) (*.f64 c a))))
(pow.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) #s(literal 1 binary64))
(pow.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 16 binary64) (*.f64 (*.f64 c a) (*.f64 c a))) #s(literal 1/2 binary64))
(*.f64 c (*.f64 a #s(literal -4 binary64)))
(*.f64 a (*.f64 c #s(literal -4 binary64)))
(*.f64 #s(literal -4 binary64) (*.f64 c a))
(*.f64 (*.f64 a #s(literal -4 binary64)) c)
(*.f64 (*.f64 c a) #s(literal -4 binary64))
(*.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 c a) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (pow.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) #s(literal 1/2 binary64))))
(*.f64 (*.f64 c #s(literal -4 binary64)) a)
(*.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal 1/2 binary64)) (pow.f64 (*.f64 c a) #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 #s(literal -4 binary64))))
(*.f64 (*.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 c a) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal -4 binary64)))

simplify579.0ms (4.7%)

Memory
-20.9MiB live, 862.0MiB allocated
Algorithm
egg-herbie
Rules
13 298×accelerator-lowering-fma.f32
13 298×accelerator-lowering-fma.f64
7 804×*-lowering-*.f32
7 804×*-lowering-*.f64
3 720×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05965871
118835812
262795767
081705527
Stop Event
iter limit
node limit
Counts
504 → 504
Calls
Call 1
Inputs
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ 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)))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))
(* -1 (/ b a))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))
(* -1 (/ c b))
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))
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(/ b a)
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b
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
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b
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b
(+ b (* -2 (/ (* a c) b)))
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b
b
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(* -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 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))
(* (sqrt (/ c a)) (sqrt -1))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(* (sqrt (* a c)) (sqrt -4))
(+ b (* (sqrt (* a c)) (sqrt -4)))
(+ b (* (sqrt (* a c)) (sqrt -4)))
(+ b (* (sqrt (* a c)) (sqrt -4)))
b
(* b (+ 1 (* (sqrt (* a c)) (/ (sqrt -4) b))))
(* b (+ 1 (* (sqrt (* a c)) (/ (sqrt -4) b))))
(* b (+ 1 (* (sqrt (* a c)) (/ (sqrt -4) b))))
b
(* -1 (* b (- (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b))) 1)))
(* -1 (* b (- (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b))) 1)))
(* -1 (* b (- (* -1 (* (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)))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))
(* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))
(* a (+ (* (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 a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (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)))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))
(* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))
(* c (+ (* (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 c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ b c)) (* 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)))
(* (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)))
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* -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))
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 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(*.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)))))
(+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -1/2 binary64))) (*.f64 b (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (/.f64 b (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64))))) (/.f64 #s(literal -1/2 binary64) a))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))
(+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -1/2 binary64))) (*.f64 b (+.f64 (*.f64 b (+.f64 (*.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 #s(literal -1/64 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (pow.f64 a #s(literal 5 binary64)))) (*.f64 c c))) (*.f64 b b)) (sqrt.f64 #s(literal -4 binary64)))))) (/.f64 #s(literal -1/2 binary64) a))))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(*.f64 b (+.f64 (/.f64 (/.f64 c b) b) (/.f64 #s(literal -1 binary64) a)))
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))
(*.f64 b (+.f64 (/.f64 (/.f64 c b) b) (+.f64 (/.f64 (*.f64 c (*.f64 c a)) (*.f64 (*.f64 b b) (*.f64 b b))) (/.f64 #s(literal -1 binary64) a))))
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))
(*.f64 b (+.f64 (+.f64 (/.f64 (/.f64 c b) b) (+.f64 (/.f64 (*.f64 c (*.f64 c a)) (*.f64 (*.f64 b b) (*.f64 b b))) (/.f64 #s(literal -1 binary64) a))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 c (*.f64 c (*.f64 c (*.f64 a a))))) (pow.f64 b #s(literal 6 binary64)))))
(* -1 (/ c b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 c (/.f64 (/.f64 (*.f64 c (*.f64 c a)) b) b)) b))
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))
(/.f64 (+.f64 (+.f64 c (/.f64 (/.f64 (*.f64 c (*.f64 c a)) b) b)) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 c (*.f64 c (*.f64 c (*.f64 a a))))) (*.f64 (*.f64 b b) (*.f64 b b)))) (-.f64 #s(literal 0 binary64) b))
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))
(/.f64 (+.f64 c (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 c (*.f64 c (*.f64 c (*.f64 a a))))) (*.f64 (*.f64 b b) (*.f64 b b))) (+.f64 (/.f64 (/.f64 (*.f64 c (*.f64 c a)) b) b) (*.f64 (/.f64 #s(literal 1/4 binary64) a) (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64))) (pow.f64 b #s(literal 6 binary64))))))) (-.f64 #s(literal 0 binary64) b))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(+ (* -1 (/ b a)) (/ c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))
(-.f64 (*.f64 c (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))))) (/.f64 b a))
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))
(-.f64 (*.f64 c (+.f64 (/.f64 #s(literal 1 binary64) b) (*.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 b a))
(* -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 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))
(*.f64 (*.f64 c #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 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))
(*.f64 c (+.f64 (*.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)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a)))) (*.f64 c c))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) #s(literal -1/4 binary64)))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))
(*.f64 c (+.f64 (*.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)))) (+.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a)))) (*.f64 c c))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) #s(literal -1/4 binary64))) (*.f64 #s(literal -1/64 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 5 binary64)))) (*.f64 (*.f64 b b) (*.f64 b b))) (sqrt.f64 #s(literal -4 binary64)))))))
(* (sqrt (/ c a)) (sqrt -1))
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 b (*.f64 c a))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64)))) (-.f64 #s(literal 0 binary64) c))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))
(*.f64 c (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b a)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/8 binary64)))) c)))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)))))
(*.f64 c (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b a)) (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 b b) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c (*.f64 a (*.f64 a a))))))) (*.f64 #s(literal 1/128 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (pow.f64 a #s(literal 5 binary64))))) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64)))))) c)) c)))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/.f64 (-.f64 (*.f64 a (/.f64 c b)) b) a)
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/.f64 (-.f64 (*.f64 a (*.f64 c (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b)))))) b) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)
(/.f64 (-.f64 (*.f64 a (+.f64 (/.f64 c b) (*.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))))))) b) a)
(* -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 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(*.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))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 b a))) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 b b)) (sqrt.f64 #s(literal -4 binary64)))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 b a))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 b b)) (sqrt.f64 #s(literal -4 binary64)))) (*.f64 #s(literal -1/64 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (pow.f64 a #s(literal 5 binary64)))) (*.f64 c c))) (*.f64 (*.f64 b b) (*.f64 b b))) (sqrt.f64 #s(literal -4 binary64))))))
(* (sqrt (/ c a)) (sqrt -1))
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b a)) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (+.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/8 binary64))) (*.f64 b #s(literal 1/2 binary64))) a))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (-.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 (+.f64 (*.f64 #s(literal -1/128 binary64) (*.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 c (*.f64 c a))))))) (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/8 binary64)))) a)) a))
(* (sqrt (/ c a)) (sqrt -4))
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))
(+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))
(+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 b a))
(+ (* b (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -4)))
(+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (*.f64 b (+.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (/.f64 b (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/2 binary64))))))
(+ (* b (+ (* b (+ (* -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)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -4)))
(+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (*.f64 b (+.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b (+.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (pow.f64 a #s(literal 5 binary64)))) (*.f64 c c))) (*.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 c (*.f64 a (*.f64 a a))))) (sqrt.f64 #s(literal -4 binary64)))))))))
(* 2 (/ b a))
(*.f64 b (/.f64 #s(literal 2 binary64) a))
(* b (+ (* -2 (/ c (pow b 2))) (* 2 (/ 1 a))))
(*.f64 b (+.f64 (/.f64 (/.f64 (*.f64 c #s(literal -2 binary64)) b) b) (/.f64 #s(literal 2 binary64) a)))
(* b (+ (* -2 (/ c (pow b 2))) (+ (* -2 (/ (* a (pow c 2)) (pow b 4))) (* 2 (/ 1 a)))))
(*.f64 b (+.f64 (/.f64 #s(literal 2 binary64) a) (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 (/.f64 c b) b) (/.f64 (*.f64 c (*.f64 c a)) (*.f64 (*.f64 b b) (*.f64 b b)))))))
(* b (+ (* -4 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -2 (/ c (pow b 2))) (+ (* -2 (/ (* a (pow c 2)) (pow b 4))) (* 2 (/ 1 a))))))
(*.f64 b (+.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 (/.f64 c b) b) (/.f64 (*.f64 c (*.f64 c a)) (*.f64 (*.f64 b b) (*.f64 b b))))) (+.f64 (/.f64 #s(literal 2 binary64) a) (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c (*.f64 a a)))) #s(literal -4 binary64)) (pow.f64 b #s(literal 6 binary64))))))
(* 2 (/ c b))
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b
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(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))
(*.f64 (*.f64 c #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 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))
(*.f64 (*.f64 c #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 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))
(*.f64 (*.f64 c #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))))
(* (sqrt (/ c a)) (sqrt -1))
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 b (*.f64 c a))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64)))) (-.f64 #s(literal 0 binary64) c))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 b (*.f64 c a))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64)))) (-.f64 #s(literal 0 binary64) c))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 b (*.f64 c a))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64)))) (-.f64 #s(literal 0 binary64) c))
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a)))
(+ b (* (sqrt (* a c)) (sqrt -4)))
(+.f64 b (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))))
(+ b (* (sqrt (* a c)) (sqrt -4)))
(+.f64 b (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))))
(+ b (* (sqrt (* a c)) (sqrt -4)))
(+.f64 b (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))))
b
(* b (+ 1 (* (sqrt (* a c)) (/ (sqrt -4) b))))
(*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 c a)) (/.f64 (sqrt.f64 #s(literal -4 binary64)) b))))
(* b (+ 1 (* (sqrt (* a c)) (/ (sqrt -4) b))))
(*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 c a)) (/.f64 (sqrt.f64 #s(literal -4 binary64)) b))))
(* b (+ 1 (* (sqrt (* a c)) (/ (sqrt -4) b))))
(*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 c a)) (/.f64 (sqrt.f64 #s(literal -4 binary64)) b))))
b
(* -1 (* b (- (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b))) 1)))
(-.f64 #s(literal 0 binary64) (*.f64 b (-.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 c a)) (/.f64 (sqrt.f64 #s(literal -4 binary64)) b)))))
(* -1 (* b (- (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b))) 1)))
(-.f64 #s(literal 0 binary64) (*.f64 b (-.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 c a)) (/.f64 (sqrt.f64 #s(literal -4 binary64)) b)))))
(* -1 (* b (- (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b))) 1)))
(-.f64 #s(literal 0 binary64) (*.f64 b (-.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 c a)) (/.f64 (sqrt.f64 #s(literal -4 binary64)) b)))))
(+ b (* (sqrt (* a c)) (sqrt -4)))
(+.f64 b (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))))
(+ b (* (sqrt (* a c)) (sqrt -4)))
(+.f64 b (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))))
(+ b (* (sqrt (* a c)) (sqrt -4)))
(+.f64 b (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))))
(+ b (* (sqrt (* a c)) (sqrt -4)))
(+.f64 b (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))))
(* (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 (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 b a)))
(* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))
(*.f64 a (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 b a)))
(* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))
(*.f64 a (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 b a)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (sqrt.f64 (*.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -2 binary64)))
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(*.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 b a)) (-.f64 #s(literal 0 binary64) a))
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(*.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 b a)) (-.f64 #s(literal 0 binary64) a))
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(*.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 b a)) (-.f64 #s(literal 0 binary64) a))
(+ b (* (sqrt (* a c)) (sqrt -4)))
(+.f64 b (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))))
(+ b (* (sqrt (* a c)) (sqrt -4)))
(+.f64 b (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))))
(+ b (* (sqrt (* a c)) (sqrt -4)))
(+.f64 b (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))))
(+ b (* (sqrt (* a c)) (sqrt -4)))
(+.f64 b (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))))
(* (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 (+.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c))) (/.f64 b c)))
(* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))
(*.f64 c (+.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c))) (/.f64 b c)))
(* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))
(*.f64 c (+.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c))) (/.f64 b c)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (sqrt.f64 (*.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -2 binary64)))
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(*.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 b c)) (-.f64 #s(literal 0 binary64) c))
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(*.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 b c)) (-.f64 #s(literal 0 binary64) c))
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(*.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 b c)) (-.f64 #s(literal 0 binary64) c))
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a)))
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a)))
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a)))
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a)))
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a)))
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a)))
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a)))
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (sqrt.f64 (*.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -2 binary64)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (sqrt.f64 (*.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -2 binary64)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (sqrt.f64 (*.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -2 binary64)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (sqrt.f64 (*.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -2 binary64)))
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a)))
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a)))
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a)))
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a)))
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a)))
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a)))
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a)))
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (sqrt.f64 (*.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -2 binary64)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (sqrt.f64 (*.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -2 binary64)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (sqrt.f64 (*.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -2 binary64)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (sqrt.f64 (*.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -2 binary64)))
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* -4 (* a c))
(*.f64 c (*.f64 a #s(literal -4 binary64)))
(* -4 (* a c))
(*.f64 c (*.f64 a #s(literal -4 binary64)))
(* -4 (* a c))
(*.f64 c (*.f64 a #s(literal -4 binary64)))
(* -4 (* a c))
(*.f64 c (*.f64 a #s(literal -4 binary64)))
(* -4 (* a c))
(*.f64 c (*.f64 a #s(literal -4 binary64)))
(* -4 (* a c))
(*.f64 c (*.f64 a #s(literal -4 binary64)))
(* -4 (* a c))
(*.f64 c (*.f64 a #s(literal -4 binary64)))
(* -4 (* a c))
(*.f64 c (*.f64 a #s(literal -4 binary64)))
(* -4 (* a c))
(*.f64 c (*.f64 a #s(literal -4 binary64)))
(* -4 (* a c))
(*.f64 c (*.f64 a #s(literal -4 binary64)))
(* -4 (* a c))
(*.f64 c (*.f64 a #s(literal -4 binary64)))
(* -4 (* a c))
(*.f64 c (*.f64 a #s(literal -4 binary64)))
(* -4 (* a c))
(*.f64 c (*.f64 a #s(literal -4 binary64)))
(* -4 (* a c))
(*.f64 c (*.f64 a #s(literal -4 binary64)))
(* -4 (* a c))
(*.f64 c (*.f64 a #s(literal -4 binary64)))
(* -4 (* a c))
(*.f64 c (*.f64 a #s(literal -4 binary64)))
(* -4 (* a c))
(*.f64 c (*.f64 a #s(literal -4 binary64)))
(* -4 (* a c))
(*.f64 c (*.f64 a #s(literal -4 binary64)))
(* -4 (* a c))
(*.f64 c (*.f64 a #s(literal -4 binary64)))
(* -4 (* a c))
(*.f64 c (*.f64 a #s(literal -4 binary64)))
(* -4 (* a c))
(*.f64 c (*.f64 a #s(literal -4 binary64)))
(* -4 (* a c))
(*.f64 c (*.f64 a #s(literal -4 binary64)))
(* -4 (* a c))
(*.f64 c (*.f64 a #s(literal -4 binary64)))
(* -4 (* a c))
(*.f64 c (*.f64 a #s(literal -4 binary64)))

eval128.0ms (1%)

Memory
34.8MiB live, 221.6MiB allocated
Compiler

Compiled 16 643 to 1 839 computations (89% saved)

prune171.0ms (1.4%)

Memory
4.1MiB live, 282.0MiB allocated
Pruning

65 alts after pruning (59 fresh and 6 done)

PrunedKeptTotal
New93613949
Fresh124658
Picked235
Done134
Total951651 016
Accuracy
100.0%
Counts
1 016 → 65
Alt Table
Click to see full alt table
StatusAccuracyProgram
31.4%
(/.f64 (/.f64 (/.f64 b a) a) (/.f64 #s(literal -1 binary64) a))
31.4%
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 a b)) a) (/.f64 #s(literal -1 binary64) a))
2.3%
(/.f64 (/.f64 (*.f64 (*.f64 b (/.f64 b a)) a) b) a)
4.7%
(/.f64 (/.f64 (*.f64 c (*.f64 a a)) b) (*.f64 a a))
2.4%
(/.f64 (/.f64 b (/.f64 a b)) b)
18.1%
(/.f64 (/.f64 b (*.f64 a (/.f64 a b))) (-.f64 #s(literal 0 binary64) (/.f64 b a)))
33.9%
(/.f64 (/.f64 a (*.f64 a a)) (/.f64 #s(literal 2 binary64) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))))
2.8%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b b))) (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b a)))
10.3%
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (-.f64 (/.f64 b a) (/.f64 c b)) c))
10.0%
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 b (*.f64 c a)))
31.1%
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 2 binary64) (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
2.5%
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
23.5%
(/.f64 (-.f64 (*.f64 (/.f64 b #s(literal 2 binary64)) a) (*.f64 a (/.f64 (sqrt.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64))) #s(literal 2 binary64)))) (*.f64 a a))
57.7%
(/.f64 (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (*.f64 #s(literal 2 binary64) a))
40.8%
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))
27.6%
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 b a) a)) a)
1.7%
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (-.f64 #s(literal 0 binary64) a)) (*.f64 b (*.f64 a a)))
2.0%
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) (*.f64 a #s(literal -1 binary64))) (*.f64 a a))
5.5%
(/.f64 (*.f64 b (/.f64 a (*.f64 b a))) (/.f64 a b))
31.0%
(/.f64 (neg.f64 (/.f64 b (/.f64 a b))) b)
10.1%
(/.f64 c b)
5.5%
(/.f64 b (*.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 b a)))
27.9%
(/.f64 b (*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 a a)))
38.5%
(/.f64 b (neg.f64 a))
2.5%
(/.f64 b a)
5.5%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 b (*.f64 b a))))
18.0%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 b a)) (/.f64 b (*.f64 a (/.f64 a b)))))
31.1%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 a (*.f64 b #s(literal -1/2 binary64))) (/.f64 a #s(literal -1/2 binary64))) (+.f64 (/.f64 a #s(literal -1/2 binary64)) (*.f64 (/.f64 a (*.f64 b #s(literal -1/2 binary64))) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))))
40.7%
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 #s(literal -1/2 binary64) (+.f64 b (pow.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) #s(literal 1/2 binary64))))))
2.5%
(/.f64 #s(literal 1 binary64) (/.f64 a b))
38.4%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 b a))))
10.0%
(/.f64 #s(literal 1/2 binary64) (/.f64 a (/.f64 (*.f64 (*.f64 a c) #s(literal 2 binary64)) b)))
31.1%
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b (sqrt.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64))))))
38.4%
(/.f64 #s(literal -1 binary64) (/.f64 a b))
38.3%
(-.f64 (/.f64 c b) (/.f64 b a))
31.1%
(-.f64 #s(literal 0 binary64) (/.f64 c b))
25.3%
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (/.f64 b (*.f64 b a)) (-.f64 #s(literal 0 binary64) (/.f64 b a))))))
31.4%
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (/.f64 (/.f64 (/.f64 b a) a) (/.f64 #s(literal 1 binary64) a)) (/.f64 #s(literal 1 binary64) a)) (/.f64 (/.f64 b a) b)))
37.9%
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (/.f64 (/.f64 b a) (*.f64 b (/.f64 #s(literal 1 binary64) b))) (/.f64 #s(literal 1 binary64) a)) (/.f64 (/.f64 b a) b)))
20.0%
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (/.f64 b a) (/.f64 a (*.f64 a a))) (/.f64 (/.f64 b a) b)))
38.0%
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (/.f64 b a) (/.f64 #s(literal 1 binary64) a)) (/.f64 (/.f64 b a) b)))
20.2%
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (/.f64 b a) (/.f64 #s(literal 1 binary64) a)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 b a)) (*.f64 (/.f64 b a) (-.f64 #s(literal 0 binary64) (/.f64 b a))))) b)))
25.0%
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 b a)) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 b a)) b))) (/.f64 #s(literal 1 binary64) a)) (/.f64 (/.f64 b a) b)))
30.7%
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (*.f64 (/.f64 b (*.f64 b a)) b) (/.f64 #s(literal 1 binary64) a)) (/.f64 (/.f64 b a) b)))
31.0%
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 b (/.f64 a b)) (/.f64 #s(literal 1 binary64) b)))
22.8%
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) a) (/.f64 #s(literal -1 binary64) (*.f64 a a))))
38.5%
(+.f64 (/.f64 b (/.f64 a #s(literal -1/2 binary64))) (/.f64 b (/.f64 a #s(literal -1/2 binary64))))
24.7%
(*.f64 (/.f64 (*.f64 a c) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal -2 binary64) b) a))
10.1%
(*.f64 (/.f64 #s(literal 1 binary64) b) c)
2.5%
(*.f64 (/.f64 #s(literal 1 binary64) a) b)
21.8%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (fma.f64 (sqrt.f64 (*.f64 a #s(literal -4 binary64))) (sqrt.f64 c) b))
39.8%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (-.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 b b)) (-.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) #s(literal 1/2 binary64)) b)))
37.9%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 (*.f64 b #s(literal 2 binary64)) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64))))
21.8%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (*.f64 (sqrt.f64 (*.f64 a #s(literal -4 binary64))) (sqrt.f64 c))))
20.4%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c #s(literal -4 binary64))))))
58.2%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
40.7%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 (*.f64 c #s(literal -4 binary64)) a))))
38.0%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (*.f64 a (/.f64 c (*.f64 b b)))))))))
5.1%
(*.f64 (-.f64 #s(literal 0 binary64) b) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 a a)) a))
1.6%
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) (*.f64 b b))) (/.f64 (*.f64 a #s(literal -1 binary64)) (*.f64 a a)))
2.9%
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (/.f64 #s(literal 1 binary64) b)) (/.f64 (*.f64 a #s(literal -1 binary64)) (*.f64 a a)))
30.7%
(*.f64 (neg.f64 (/.f64 b (*.f64 b a))) b)
58.2%
(*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) a) (/.f64 b a)))
24.2%
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a c) (*.f64 a b)))
4.5%
(exp.f64 (*.f64 (log.f64 (/.f64 a b)) #s(literal -1 binary64)))
Compiler

Compiled 2 456 to 1 034 computations (57.9% saved)

regimes141.0ms (1.2%)

Memory
-24.6MiB live, 275.7MiB allocated
Counts
99 → 3
Calls
Call 1
Inputs
(/.f64 b a)
(/.f64 c b)
(/.f64 b (neg.f64 a))
(*.f64 (/.f64 #s(literal 1 binary64) a) b)
(*.f64 (/.f64 #s(literal 1 binary64) b) c)
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(/.f64 #s(literal -1 binary64) (/.f64 a b))
(/.f64 #s(literal 1 binary64) (/.f64 a b))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(/.f64 (/.f64 b (/.f64 a b)) b)
(*.f64 (neg.f64 (/.f64 b (*.f64 b a))) b)
(/.f64 (neg.f64 (/.f64 b (/.f64 a b))) b)
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a c) (*.f64 a b)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 b a))))
(/.f64 b (*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 a a)))
(/.f64 b (*.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 b a)))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 b a) a)) a)
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 b (*.f64 c a)))
(/.f64 (/.f64 (/.f64 b a) a) (/.f64 #s(literal -1 binary64) a))
(*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a)))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) a) (/.f64 #s(literal -1 binary64) (*.f64 a a)))
(*.f64 (-.f64 #s(literal 0 binary64) b) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 a a)) a))
(*.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 (*.f64 a #s(literal -1 binary64)) (*.f64 a a)))
(*.f64 (/.f64 (*.f64 a c) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal -2 binary64) b) a))
(+.f64 (/.f64 b (/.f64 a #s(literal -1/2 binary64))) (/.f64 b (/.f64 a #s(literal -1/2 binary64))))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 b (/.f64 a b)) (/.f64 #s(literal 1 binary64) b)))
(/.f64 #s(literal 1/2 binary64) (/.f64 a (/.f64 (*.f64 (*.f64 a c) #s(literal 2 binary64)) b)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (/.f64 b a) a)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 b (*.f64 b a))))
(/.f64 (*.f64 b (/.f64 a (*.f64 b a))) (/.f64 a b))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) (*.f64 a #s(literal -1 binary64))) (*.f64 a a))
(/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b) (*.f64 #s(literal 2 binary64) a))
(/.f64 (/.f64 (*.f64 c (*.f64 a a)) b) (*.f64 a a))
(/.f64 (/.f64 (*.f64 (*.f64 b (/.f64 b a)) a) b) a)
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 a b)) a) (/.f64 #s(literal -1 binary64) a))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 b b) (*.f64 a a))) (/.f64 a b))
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) a) (/.f64 #s(literal -1 binary64) (*.f64 a a))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (-.f64 #s(literal 0 binary64) a)) (*.f64 (-.f64 #s(literal 0 binary64) b) a)))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 b b) (*.f64 a a))) (/.f64 b a))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (-.f64 (/.f64 b a) (/.f64 c b)) c))
(/.f64 (/.f64 b (*.f64 a (/.f64 a b))) (-.f64 #s(literal 0 binary64) (/.f64 b a)))
(/.f64 (/.f64 b (/.f64 a b)) (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b a)))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 (*.f64 b #s(literal 2 binary64)) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64))))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 b a) (/.f64 (/.f64 b (*.f64 b a)) (/.f64 #s(literal 1 binary64) a))))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (/.f64 b a) (/.f64 #s(literal 1 binary64) a)) (/.f64 (/.f64 b a) b)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 b a)) (/.f64 b (*.f64 a (/.f64 a b)))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (-.f64 #s(literal 0 binary64) a)) (*.f64 b (*.f64 a a)))
(/.f64 (+.f64 c (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b b))) (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b a)))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (/.f64 #s(literal 1 binary64) b)) (/.f64 (*.f64 a #s(literal -1 binary64)) (*.f64 a a)))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 b #s(literal 1 binary64)) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 b a)) (/.f64 b a))))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 b (/.f64 #s(literal 1 binary64) a)) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 b a)) b)))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) a)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) b)))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (*.f64 (/.f64 b a) b) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 b a))))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (/.f64 b a) (/.f64 a (*.f64 a a))) (/.f64 (/.f64 b a) b)))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (*.f64 (/.f64 b (*.f64 b a)) b) (/.f64 #s(literal 1 binary64) a)) (/.f64 (/.f64 b a) b)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (/.f64 b (*.f64 b a)) (-.f64 #s(literal 0 binary64) (/.f64 b a))))))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) (*.f64 b b))) (/.f64 (*.f64 a #s(literal -1 binary64)) (*.f64 a a)))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (/.f64 (/.f64 b a) (*.f64 b (/.f64 #s(literal 1 binary64) b))) (/.f64 #s(literal 1 binary64) a)) (/.f64 (/.f64 b a) b)))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (/.f64 (/.f64 (/.f64 b a) a) (/.f64 #s(literal 1 binary64) a)) (/.f64 #s(literal 1 binary64) a)) (/.f64 (/.f64 b a) b)))
(/.f64 (-.f64 (neg.f64 b) (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 c (/.f64 a (*.f64 b b))))))) (*.f64 #s(literal 2 binary64) a))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 b a)) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 b a)) b))) (/.f64 #s(literal 1 binary64) a)) (/.f64 (/.f64 b a) b)))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (/.f64 b a) (/.f64 #s(literal 1 binary64) a)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 b a)) (*.f64 (/.f64 b a) (-.f64 #s(literal 0 binary64) (/.f64 b a))))) b)))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64)))))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 (*.f64 c #s(literal -4 binary64)) a))))
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b (sqrt.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64))))))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 2 binary64) (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 #s(literal -1/2 binary64) (+.f64 b (pow.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) #s(literal 1/2 binary64))))))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a))
(*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) a) (/.f64 b a)))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 2 binary64) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))))
(+.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (/.f64 a #s(literal -1/2 binary64))) (/.f64 b (/.f64 a #s(literal -1/2 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 b #s(literal 2 binary64)) a) (*.f64 a (/.f64 (sqrt.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64))) #s(literal 2 binary64)))) (*.f64 a a))
(/.f64 (/.f64 a (*.f64 a a)) (/.f64 #s(literal 2 binary64) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))))
(/.f64 (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (*.f64 #s(literal 2 binary64) a))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (*.f64 a (/.f64 c (*.f64 b b)))))))))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (-.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 b b)) (-.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) #s(literal 1/2 binary64)) b)))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (*.f64 c (/.f64 a (*.f64 b b)))))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (-.f64 (*.f64 (/.f64 b #s(literal 2 binary64)) a) (*.f64 a (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) #s(literal 2 binary64)))) (*.f64 a a))
(/.f64 (-.f64 (neg.f64 b) (/.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 a (*.f64 b #s(literal -1/2 binary64))) (/.f64 a #s(literal -1/2 binary64))) (+.f64 (/.f64 a #s(literal -1/2 binary64)) (*.f64 (/.f64 a (*.f64 b #s(literal -1/2 binary64))) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))))
(*.f64 (/.f64 (/.f64 (+.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) (*.f64 a #s(literal 2 binary64))) (+.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
(exp.f64 (*.f64 (log.f64 (/.f64 a b)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c #s(literal -4 binary64))))))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (*.f64 (sqrt.f64 (*.f64 a #s(literal -4 binary64))) (sqrt.f64 c))))
(-.f64 #s(literal 0 binary64) (*.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 1 binary64))) (/.f64 (/.f64 b a) b)))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (/.f64 b a) (exp.f64 (*.f64 (log.f64 a) #s(literal -1 binary64)))) (/.f64 (/.f64 b a) b)))
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))))))
(fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64))))
(/.f64 (-.f64 (neg.f64 b) (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (*.f64 #s(literal 2 binary64) a))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (fma.f64 (sqrt.f64 (*.f64 a #s(literal -4 binary64))) (sqrt.f64 c) b))
(-.f64 #s(literal 0 binary64) (*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 b) #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 b)))) (/.f64 (/.f64 b a) b)))
(/.f64 (exp.f64 (*.f64 (log.f64 a) #s(literal -1 binary64))) (/.f64 #s(literal 2 binary64) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))))
Outputs
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) a) (/.f64 b a)))
(/.f64 b (neg.f64 a))
Calls

4 calls:

43.0ms
c
33.0ms
a
28.0ms
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a))
28.0ms
b
Results
AccuracySegmentsBranch
60.3%2a
92.3%3b
58.7%1c
80.8%5(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a))
Compiler

Compiled 32 to 23 computations (28.1% saved)

regimes38.0ms (0.3%)

Memory
-18.3MiB live, 60.7MiB allocated
Counts
75 → 3
Calls
Call 1
Inputs
(/.f64 b a)
(/.f64 c b)
(/.f64 b (neg.f64 a))
(*.f64 (/.f64 #s(literal 1 binary64) a) b)
(*.f64 (/.f64 #s(literal 1 binary64) b) c)
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(/.f64 #s(literal -1 binary64) (/.f64 a b))
(/.f64 #s(literal 1 binary64) (/.f64 a b))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(/.f64 (/.f64 b (/.f64 a b)) b)
(*.f64 (neg.f64 (/.f64 b (*.f64 b a))) b)
(/.f64 (neg.f64 (/.f64 b (/.f64 a b))) b)
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a c) (*.f64 a b)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 b a))))
(/.f64 b (*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 a a)))
(/.f64 b (*.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 b a)))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 b a) a)) a)
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 b (*.f64 c a)))
(/.f64 (/.f64 (/.f64 b a) a) (/.f64 #s(literal -1 binary64) a))
(*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a)))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) a) (/.f64 #s(literal -1 binary64) (*.f64 a a)))
(*.f64 (-.f64 #s(literal 0 binary64) b) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 a a)) a))
(*.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 (*.f64 a #s(literal -1 binary64)) (*.f64 a a)))
(*.f64 (/.f64 (*.f64 a c) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal -2 binary64) b) a))
(+.f64 (/.f64 b (/.f64 a #s(literal -1/2 binary64))) (/.f64 b (/.f64 a #s(literal -1/2 binary64))))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 b (/.f64 a b)) (/.f64 #s(literal 1 binary64) b)))
(/.f64 #s(literal 1/2 binary64) (/.f64 a (/.f64 (*.f64 (*.f64 a c) #s(literal 2 binary64)) b)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (/.f64 b a) a)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 b (*.f64 b a))))
(/.f64 (*.f64 b (/.f64 a (*.f64 b a))) (/.f64 a b))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) (*.f64 a #s(literal -1 binary64))) (*.f64 a a))
(/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b) (*.f64 #s(literal 2 binary64) a))
(/.f64 (/.f64 (*.f64 c (*.f64 a a)) b) (*.f64 a a))
(/.f64 (/.f64 (*.f64 (*.f64 b (/.f64 b a)) a) b) a)
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 a b)) a) (/.f64 #s(literal -1 binary64) a))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 b b) (*.f64 a a))) (/.f64 a b))
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) a) (/.f64 #s(literal -1 binary64) (*.f64 a a))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (-.f64 #s(literal 0 binary64) a)) (*.f64 (-.f64 #s(literal 0 binary64) b) a)))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 b b) (*.f64 a a))) (/.f64 b a))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (-.f64 (/.f64 b a) (/.f64 c b)) c))
(/.f64 (/.f64 b (*.f64 a (/.f64 a b))) (-.f64 #s(literal 0 binary64) (/.f64 b a)))
(/.f64 (/.f64 b (/.f64 a b)) (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b a)))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 (*.f64 b #s(literal 2 binary64)) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64))))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 b a) (/.f64 (/.f64 b (*.f64 b a)) (/.f64 #s(literal 1 binary64) a))))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (/.f64 b a) (/.f64 #s(literal 1 binary64) a)) (/.f64 (/.f64 b a) b)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 b a)) (/.f64 b (*.f64 a (/.f64 a b)))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (-.f64 #s(literal 0 binary64) a)) (*.f64 b (*.f64 a a)))
(/.f64 (+.f64 c (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b b))) (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b a)))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (/.f64 #s(literal 1 binary64) b)) (/.f64 (*.f64 a #s(literal -1 binary64)) (*.f64 a a)))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 b #s(literal 1 binary64)) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 b a)) (/.f64 b a))))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 b (/.f64 #s(literal 1 binary64) a)) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 b a)) b)))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) a)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) b)))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (*.f64 (/.f64 b a) b) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 b a))))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (/.f64 b a) (/.f64 a (*.f64 a a))) (/.f64 (/.f64 b a) b)))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (*.f64 (/.f64 b (*.f64 b a)) b) (/.f64 #s(literal 1 binary64) a)) (/.f64 (/.f64 b a) b)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (/.f64 b (*.f64 b a)) (-.f64 #s(literal 0 binary64) (/.f64 b a))))))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) (*.f64 b b))) (/.f64 (*.f64 a #s(literal -1 binary64)) (*.f64 a a)))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (/.f64 (/.f64 b a) (*.f64 b (/.f64 #s(literal 1 binary64) b))) (/.f64 #s(literal 1 binary64) a)) (/.f64 (/.f64 b a) b)))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (/.f64 (/.f64 (/.f64 b a) a) (/.f64 #s(literal 1 binary64) a)) (/.f64 #s(literal 1 binary64) a)) (/.f64 (/.f64 b a) b)))
(/.f64 (-.f64 (neg.f64 b) (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 c (/.f64 a (*.f64 b b))))))) (*.f64 #s(literal 2 binary64) a))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 b a)) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 b a)) b))) (/.f64 #s(literal 1 binary64) a)) (/.f64 (/.f64 b a) b)))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (/.f64 b a) (/.f64 #s(literal 1 binary64) a)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 b a)) (*.f64 (/.f64 b a) (-.f64 #s(literal 0 binary64) (/.f64 b a))))) b)))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64)))))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 (*.f64 c #s(literal -4 binary64)) a))))
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b (sqrt.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64))))))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 2 binary64) (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 #s(literal -1/2 binary64) (+.f64 b (pow.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) #s(literal 1/2 binary64))))))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a))
Outputs
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 b (neg.f64 a))
Calls

1 calls:

27.0ms
b
Results
AccuracySegmentsBranch
92.3%3b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes30.0ms (0.2%)

Memory
22.1MiB live, 58.7MiB allocated
Counts
74 → 3
Calls
Call 1
Inputs
(/.f64 b a)
(/.f64 c b)
(/.f64 b (neg.f64 a))
(*.f64 (/.f64 #s(literal 1 binary64) a) b)
(*.f64 (/.f64 #s(literal 1 binary64) b) c)
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(/.f64 #s(literal -1 binary64) (/.f64 a b))
(/.f64 #s(literal 1 binary64) (/.f64 a b))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(/.f64 (/.f64 b (/.f64 a b)) b)
(*.f64 (neg.f64 (/.f64 b (*.f64 b a))) b)
(/.f64 (neg.f64 (/.f64 b (/.f64 a b))) b)
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a c) (*.f64 a b)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 b a))))
(/.f64 b (*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 a a)))
(/.f64 b (*.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 b a)))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 b a) a)) a)
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 b (*.f64 c a)))
(/.f64 (/.f64 (/.f64 b a) a) (/.f64 #s(literal -1 binary64) a))
(*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a)))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) a) (/.f64 #s(literal -1 binary64) (*.f64 a a)))
(*.f64 (-.f64 #s(literal 0 binary64) b) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 a a)) a))
(*.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 (*.f64 a #s(literal -1 binary64)) (*.f64 a a)))
(*.f64 (/.f64 (*.f64 a c) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal -2 binary64) b) a))
(+.f64 (/.f64 b (/.f64 a #s(literal -1/2 binary64))) (/.f64 b (/.f64 a #s(literal -1/2 binary64))))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 b (/.f64 a b)) (/.f64 #s(literal 1 binary64) b)))
(/.f64 #s(literal 1/2 binary64) (/.f64 a (/.f64 (*.f64 (*.f64 a c) #s(literal 2 binary64)) b)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (/.f64 b a) a)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 b (*.f64 b a))))
(/.f64 (*.f64 b (/.f64 a (*.f64 b a))) (/.f64 a b))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) (*.f64 a #s(literal -1 binary64))) (*.f64 a a))
(/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b) (*.f64 #s(literal 2 binary64) a))
(/.f64 (/.f64 (*.f64 c (*.f64 a a)) b) (*.f64 a a))
(/.f64 (/.f64 (*.f64 (*.f64 b (/.f64 b a)) a) b) a)
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 a b)) a) (/.f64 #s(literal -1 binary64) a))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 b b) (*.f64 a a))) (/.f64 a b))
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) a) (/.f64 #s(literal -1 binary64) (*.f64 a a))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (-.f64 #s(literal 0 binary64) a)) (*.f64 (-.f64 #s(literal 0 binary64) b) a)))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 b b) (*.f64 a a))) (/.f64 b a))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (-.f64 (/.f64 b a) (/.f64 c b)) c))
(/.f64 (/.f64 b (*.f64 a (/.f64 a b))) (-.f64 #s(literal 0 binary64) (/.f64 b a)))
(/.f64 (/.f64 b (/.f64 a b)) (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b a)))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 (*.f64 b #s(literal 2 binary64)) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64))))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 b a) (/.f64 (/.f64 b (*.f64 b a)) (/.f64 #s(literal 1 binary64) a))))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (/.f64 b a) (/.f64 #s(literal 1 binary64) a)) (/.f64 (/.f64 b a) b)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 b a)) (/.f64 b (*.f64 a (/.f64 a b)))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (-.f64 #s(literal 0 binary64) a)) (*.f64 b (*.f64 a a)))
(/.f64 (+.f64 c (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b b))) (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b a)))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (/.f64 #s(literal 1 binary64) b)) (/.f64 (*.f64 a #s(literal -1 binary64)) (*.f64 a a)))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 b #s(literal 1 binary64)) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 b a)) (/.f64 b a))))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 b (/.f64 #s(literal 1 binary64) a)) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 b a)) b)))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) a)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) b)))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (*.f64 (/.f64 b a) b) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 b a))))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (/.f64 b a) (/.f64 a (*.f64 a a))) (/.f64 (/.f64 b a) b)))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (*.f64 (/.f64 b (*.f64 b a)) b) (/.f64 #s(literal 1 binary64) a)) (/.f64 (/.f64 b a) b)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (/.f64 b (*.f64 b a)) (-.f64 #s(literal 0 binary64) (/.f64 b a))))))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) (*.f64 b b))) (/.f64 (*.f64 a #s(literal -1 binary64)) (*.f64 a a)))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (/.f64 (/.f64 b a) (*.f64 b (/.f64 #s(literal 1 binary64) b))) (/.f64 #s(literal 1 binary64) a)) (/.f64 (/.f64 b a) b)))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (/.f64 (/.f64 (/.f64 b a) a) (/.f64 #s(literal 1 binary64) a)) (/.f64 #s(literal 1 binary64) a)) (/.f64 (/.f64 b a) b)))
(/.f64 (-.f64 (neg.f64 b) (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 c (/.f64 a (*.f64 b b))))))) (*.f64 #s(literal 2 binary64) a))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 b a)) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 b a)) b))) (/.f64 #s(literal 1 binary64) a)) (/.f64 (/.f64 b a) b)))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (/.f64 b a) (/.f64 #s(literal 1 binary64) a)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 b a)) (*.f64 (/.f64 b a) (-.f64 #s(literal 0 binary64) (/.f64 b a))))) b)))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64)))))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 (*.f64 c #s(literal -4 binary64)) a))))
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b (sqrt.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64))))))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 2 binary64) (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 #s(literal -1/2 binary64) (+.f64 b (pow.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) #s(literal 1/2 binary64))))))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))))
Outputs
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
(/.f64 b (neg.f64 a))
Calls

1 calls:

23.0ms
b
Results
AccuracySegmentsBranch
91.9%3b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes60.0ms (0.5%)

Memory
-8.9MiB live, 68.5MiB allocated
Counts
72 → 3
Calls
Call 1
Inputs
(/.f64 b a)
(/.f64 c b)
(/.f64 b (neg.f64 a))
(*.f64 (/.f64 #s(literal 1 binary64) a) b)
(*.f64 (/.f64 #s(literal 1 binary64) b) c)
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(/.f64 #s(literal -1 binary64) (/.f64 a b))
(/.f64 #s(literal 1 binary64) (/.f64 a b))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(/.f64 (/.f64 b (/.f64 a b)) b)
(*.f64 (neg.f64 (/.f64 b (*.f64 b a))) b)
(/.f64 (neg.f64 (/.f64 b (/.f64 a b))) b)
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a c) (*.f64 a b)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 b a))))
(/.f64 b (*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 a a)))
(/.f64 b (*.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 b a)))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 b a) a)) a)
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 b (*.f64 c a)))
(/.f64 (/.f64 (/.f64 b a) a) (/.f64 #s(literal -1 binary64) a))
(*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a)))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) a) (/.f64 #s(literal -1 binary64) (*.f64 a a)))
(*.f64 (-.f64 #s(literal 0 binary64) b) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 a a)) a))
(*.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 (*.f64 a #s(literal -1 binary64)) (*.f64 a a)))
(*.f64 (/.f64 (*.f64 a c) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal -2 binary64) b) a))
(+.f64 (/.f64 b (/.f64 a #s(literal -1/2 binary64))) (/.f64 b (/.f64 a #s(literal -1/2 binary64))))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 b (/.f64 a b)) (/.f64 #s(literal 1 binary64) b)))
(/.f64 #s(literal 1/2 binary64) (/.f64 a (/.f64 (*.f64 (*.f64 a c) #s(literal 2 binary64)) b)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (/.f64 b a) a)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 b (*.f64 b a))))
(/.f64 (*.f64 b (/.f64 a (*.f64 b a))) (/.f64 a b))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) (*.f64 a #s(literal -1 binary64))) (*.f64 a a))
(/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b) (*.f64 #s(literal 2 binary64) a))
(/.f64 (/.f64 (*.f64 c (*.f64 a a)) b) (*.f64 a a))
(/.f64 (/.f64 (*.f64 (*.f64 b (/.f64 b a)) a) b) a)
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 a b)) a) (/.f64 #s(literal -1 binary64) a))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 b b) (*.f64 a a))) (/.f64 a b))
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) a) (/.f64 #s(literal -1 binary64) (*.f64 a a))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (-.f64 #s(literal 0 binary64) a)) (*.f64 (-.f64 #s(literal 0 binary64) b) a)))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 b b) (*.f64 a a))) (/.f64 b a))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (-.f64 (/.f64 b a) (/.f64 c b)) c))
(/.f64 (/.f64 b (*.f64 a (/.f64 a b))) (-.f64 #s(literal 0 binary64) (/.f64 b a)))
(/.f64 (/.f64 b (/.f64 a b)) (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b a)))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 (*.f64 b #s(literal 2 binary64)) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64))))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 b a) (/.f64 (/.f64 b (*.f64 b a)) (/.f64 #s(literal 1 binary64) a))))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (/.f64 b a) (/.f64 #s(literal 1 binary64) a)) (/.f64 (/.f64 b a) b)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 b a)) (/.f64 b (*.f64 a (/.f64 a b)))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (-.f64 #s(literal 0 binary64) a)) (*.f64 b (*.f64 a a)))
(/.f64 (+.f64 c (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b b))) (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b a)))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (/.f64 #s(literal 1 binary64) b)) (/.f64 (*.f64 a #s(literal -1 binary64)) (*.f64 a a)))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 b #s(literal 1 binary64)) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 b a)) (/.f64 b a))))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 b (/.f64 #s(literal 1 binary64) a)) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 b a)) b)))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) a)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) b)))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (*.f64 (/.f64 b a) b) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 b a))))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (/.f64 b a) (/.f64 a (*.f64 a a))) (/.f64 (/.f64 b a) b)))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (*.f64 (/.f64 b (*.f64 b a)) b) (/.f64 #s(literal 1 binary64) a)) (/.f64 (/.f64 b a) b)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (/.f64 b (*.f64 b a)) (-.f64 #s(literal 0 binary64) (/.f64 b a))))))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) (*.f64 b b))) (/.f64 (*.f64 a #s(literal -1 binary64)) (*.f64 a a)))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (/.f64 (/.f64 b a) (*.f64 b (/.f64 #s(literal 1 binary64) b))) (/.f64 #s(literal 1 binary64) a)) (/.f64 (/.f64 b a) b)))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (/.f64 (/.f64 (/.f64 b a) a) (/.f64 #s(literal 1 binary64) a)) (/.f64 #s(literal 1 binary64) a)) (/.f64 (/.f64 b a) b)))
(/.f64 (-.f64 (neg.f64 b) (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 c (/.f64 a (*.f64 b b))))))) (*.f64 #s(literal 2 binary64) a))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 b a)) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 b a)) b))) (/.f64 #s(literal 1 binary64) a)) (/.f64 (/.f64 b a) b)))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (/.f64 b a) (/.f64 #s(literal 1 binary64) a)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 b a)) (*.f64 (/.f64 b a) (-.f64 #s(literal 0 binary64) (/.f64 b a))))) b)))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64)))))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 (*.f64 c #s(literal -4 binary64)) a))))
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b (sqrt.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64))))))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 2 binary64) (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 #s(literal -1/2 binary64) (+.f64 b (pow.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) #s(literal 1/2 binary64))))))
Outputs
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))
(-.f64 (/.f64 c b) (/.f64 b a))
Calls

1 calls:

22.0ms
b
Results
AccuracySegmentsBranch
88.8%3b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes35.0ms (0.3%)

Memory
19.0MiB live, 55.6MiB allocated
Counts
69 → 3
Calls
Call 1
Inputs
(/.f64 b a)
(/.f64 c b)
(/.f64 b (neg.f64 a))
(*.f64 (/.f64 #s(literal 1 binary64) a) b)
(*.f64 (/.f64 #s(literal 1 binary64) b) c)
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(/.f64 #s(literal -1 binary64) (/.f64 a b))
(/.f64 #s(literal 1 binary64) (/.f64 a b))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(/.f64 (/.f64 b (/.f64 a b)) b)
(*.f64 (neg.f64 (/.f64 b (*.f64 b a))) b)
(/.f64 (neg.f64 (/.f64 b (/.f64 a b))) b)
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a c) (*.f64 a b)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 b a))))
(/.f64 b (*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 a a)))
(/.f64 b (*.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 b a)))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 b a) a)) a)
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 b (*.f64 c a)))
(/.f64 (/.f64 (/.f64 b a) a) (/.f64 #s(literal -1 binary64) a))
(*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a)))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) a) (/.f64 #s(literal -1 binary64) (*.f64 a a)))
(*.f64 (-.f64 #s(literal 0 binary64) b) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 a a)) a))
(*.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 (*.f64 a #s(literal -1 binary64)) (*.f64 a a)))
(*.f64 (/.f64 (*.f64 a c) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal -2 binary64) b) a))
(+.f64 (/.f64 b (/.f64 a #s(literal -1/2 binary64))) (/.f64 b (/.f64 a #s(literal -1/2 binary64))))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 b (/.f64 a b)) (/.f64 #s(literal 1 binary64) b)))
(/.f64 #s(literal 1/2 binary64) (/.f64 a (/.f64 (*.f64 (*.f64 a c) #s(literal 2 binary64)) b)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (/.f64 b a) a)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 b (*.f64 b a))))
(/.f64 (*.f64 b (/.f64 a (*.f64 b a))) (/.f64 a b))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) (*.f64 a #s(literal -1 binary64))) (*.f64 a a))
(/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b) (*.f64 #s(literal 2 binary64) a))
(/.f64 (/.f64 (*.f64 c (*.f64 a a)) b) (*.f64 a a))
(/.f64 (/.f64 (*.f64 (*.f64 b (/.f64 b a)) a) b) a)
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 a b)) a) (/.f64 #s(literal -1 binary64) a))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 b b) (*.f64 a a))) (/.f64 a b))
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) a) (/.f64 #s(literal -1 binary64) (*.f64 a a))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (-.f64 #s(literal 0 binary64) a)) (*.f64 (-.f64 #s(literal 0 binary64) b) a)))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 b b) (*.f64 a a))) (/.f64 b a))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (-.f64 (/.f64 b a) (/.f64 c b)) c))
(/.f64 (/.f64 b (*.f64 a (/.f64 a b))) (-.f64 #s(literal 0 binary64) (/.f64 b a)))
(/.f64 (/.f64 b (/.f64 a b)) (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b a)))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 (*.f64 b #s(literal 2 binary64)) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64))))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 b a) (/.f64 (/.f64 b (*.f64 b a)) (/.f64 #s(literal 1 binary64) a))))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (/.f64 b a) (/.f64 #s(literal 1 binary64) a)) (/.f64 (/.f64 b a) b)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 b a)) (/.f64 b (*.f64 a (/.f64 a b)))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (-.f64 #s(literal 0 binary64) a)) (*.f64 b (*.f64 a a)))
(/.f64 (+.f64 c (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b b))) (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b a)))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (/.f64 #s(literal 1 binary64) b)) (/.f64 (*.f64 a #s(literal -1 binary64)) (*.f64 a a)))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 b #s(literal 1 binary64)) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 b a)) (/.f64 b a))))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 b (/.f64 #s(literal 1 binary64) a)) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 b a)) b)))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) a)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) b)))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (*.f64 (/.f64 b a) b) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 b a))))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (/.f64 b a) (/.f64 a (*.f64 a a))) (/.f64 (/.f64 b a) b)))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (*.f64 (/.f64 b (*.f64 b a)) b) (/.f64 #s(literal 1 binary64) a)) (/.f64 (/.f64 b a) b)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (/.f64 b (*.f64 b a)) (-.f64 #s(literal 0 binary64) (/.f64 b a))))))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) (*.f64 b b))) (/.f64 (*.f64 a #s(literal -1 binary64)) (*.f64 a a)))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (/.f64 (/.f64 b a) (*.f64 b (/.f64 #s(literal 1 binary64) b))) (/.f64 #s(literal 1 binary64) a)) (/.f64 (/.f64 b a) b)))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (/.f64 (/.f64 (/.f64 b a) a) (/.f64 #s(literal 1 binary64) a)) (/.f64 #s(literal 1 binary64) a)) (/.f64 (/.f64 b a) b)))
(/.f64 (-.f64 (neg.f64 b) (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 c (/.f64 a (*.f64 b b))))))) (*.f64 #s(literal 2 binary64) a))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 b a)) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 b a)) b))) (/.f64 #s(literal 1 binary64) a)) (/.f64 (/.f64 b a) b)))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (/.f64 b a) (/.f64 #s(literal 1 binary64) a)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 b a)) (*.f64 (/.f64 b a) (-.f64 #s(literal 0 binary64) (/.f64 b a))))) b)))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64)))))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 (*.f64 c #s(literal -4 binary64)) a))))
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b (sqrt.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64))))))
Outputs
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 (*.f64 c #s(literal -4 binary64)) a))))
(-.f64 (/.f64 c b) (/.f64 b a))
Calls

1 calls:

28.0ms
b
Results
AccuracySegmentsBranch
88.8%3b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes30.0ms (0.2%)

Memory
10.0MiB live, 83.2MiB allocated
Counts
67 → 3
Calls
Call 1
Inputs
(/.f64 b a)
(/.f64 c b)
(/.f64 b (neg.f64 a))
(*.f64 (/.f64 #s(literal 1 binary64) a) b)
(*.f64 (/.f64 #s(literal 1 binary64) b) c)
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(/.f64 #s(literal -1 binary64) (/.f64 a b))
(/.f64 #s(literal 1 binary64) (/.f64 a b))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(/.f64 (/.f64 b (/.f64 a b)) b)
(*.f64 (neg.f64 (/.f64 b (*.f64 b a))) b)
(/.f64 (neg.f64 (/.f64 b (/.f64 a b))) b)
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a c) (*.f64 a b)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 b a))))
(/.f64 b (*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 a a)))
(/.f64 b (*.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 b a)))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 b a) a)) a)
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 b (*.f64 c a)))
(/.f64 (/.f64 (/.f64 b a) a) (/.f64 #s(literal -1 binary64) a))
(*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a)))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) a) (/.f64 #s(literal -1 binary64) (*.f64 a a)))
(*.f64 (-.f64 #s(literal 0 binary64) b) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 a a)) a))
(*.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 (*.f64 a #s(literal -1 binary64)) (*.f64 a a)))
(*.f64 (/.f64 (*.f64 a c) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal -2 binary64) b) a))
(+.f64 (/.f64 b (/.f64 a #s(literal -1/2 binary64))) (/.f64 b (/.f64 a #s(literal -1/2 binary64))))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 b (/.f64 a b)) (/.f64 #s(literal 1 binary64) b)))
(/.f64 #s(literal 1/2 binary64) (/.f64 a (/.f64 (*.f64 (*.f64 a c) #s(literal 2 binary64)) b)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (/.f64 b a) a)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 b (*.f64 b a))))
(/.f64 (*.f64 b (/.f64 a (*.f64 b a))) (/.f64 a b))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) (*.f64 a #s(literal -1 binary64))) (*.f64 a a))
(/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b) (*.f64 #s(literal 2 binary64) a))
(/.f64 (/.f64 (*.f64 c (*.f64 a a)) b) (*.f64 a a))
(/.f64 (/.f64 (*.f64 (*.f64 b (/.f64 b a)) a) b) a)
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 a b)) a) (/.f64 #s(literal -1 binary64) a))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 b b) (*.f64 a a))) (/.f64 a b))
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) a) (/.f64 #s(literal -1 binary64) (*.f64 a a))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (-.f64 #s(literal 0 binary64) a)) (*.f64 (-.f64 #s(literal 0 binary64) b) a)))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 b b) (*.f64 a a))) (/.f64 b a))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (-.f64 (/.f64 b a) (/.f64 c b)) c))
(/.f64 (/.f64 b (*.f64 a (/.f64 a b))) (-.f64 #s(literal 0 binary64) (/.f64 b a)))
(/.f64 (/.f64 b (/.f64 a b)) (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b a)))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 (*.f64 b #s(literal 2 binary64)) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64))))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 b a) (/.f64 (/.f64 b (*.f64 b a)) (/.f64 #s(literal 1 binary64) a))))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (/.f64 b a) (/.f64 #s(literal 1 binary64) a)) (/.f64 (/.f64 b a) b)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 b a)) (/.f64 b (*.f64 a (/.f64 a b)))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (-.f64 #s(literal 0 binary64) a)) (*.f64 b (*.f64 a a)))
(/.f64 (+.f64 c (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b b))) (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b a)))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (/.f64 #s(literal 1 binary64) b)) (/.f64 (*.f64 a #s(literal -1 binary64)) (*.f64 a a)))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 b #s(literal 1 binary64)) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 b a)) (/.f64 b a))))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 b (/.f64 #s(literal 1 binary64) a)) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 b a)) b)))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) a)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) b)))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (*.f64 (/.f64 b a) b) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 b a))))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (/.f64 b a) (/.f64 a (*.f64 a a))) (/.f64 (/.f64 b a) b)))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (*.f64 (/.f64 b (*.f64 b a)) b) (/.f64 #s(literal 1 binary64) a)) (/.f64 (/.f64 b a) b)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (/.f64 b (*.f64 b a)) (-.f64 #s(literal 0 binary64) (/.f64 b a))))))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) (*.f64 b b))) (/.f64 (*.f64 a #s(literal -1 binary64)) (*.f64 a a)))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (/.f64 (/.f64 b a) (*.f64 b (/.f64 #s(literal 1 binary64) b))) (/.f64 #s(literal 1 binary64) a)) (/.f64 (/.f64 b a) b)))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (/.f64 (/.f64 (/.f64 b a) a) (/.f64 #s(literal 1 binary64) a)) (/.f64 #s(literal 1 binary64) a)) (/.f64 (/.f64 b a) b)))
(/.f64 (-.f64 (neg.f64 b) (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 c (/.f64 a (*.f64 b b))))))) (*.f64 #s(literal 2 binary64) a))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 b a)) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 b a)) b))) (/.f64 #s(literal 1 binary64) a)) (/.f64 (/.f64 b a) b)))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (/.f64 b a) (/.f64 #s(literal 1 binary64) a)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 b a)) (*.f64 (/.f64 b a) (-.f64 #s(literal 0 binary64) (/.f64 b a))))) b)))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64)))))
Outputs
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64)))))
(-.f64 (/.f64 c b) (/.f64 b a))
Calls

1 calls:

23.0ms
b
Results
AccuracySegmentsBranch
88.8%3b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes38.0ms (0.3%)

Memory
-0.8MiB live, 70.3MiB allocated
Counts
66 → 2
Calls
Call 1
Inputs
(/.f64 b a)
(/.f64 c b)
(/.f64 b (neg.f64 a))
(*.f64 (/.f64 #s(literal 1 binary64) a) b)
(*.f64 (/.f64 #s(literal 1 binary64) b) c)
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(/.f64 #s(literal -1 binary64) (/.f64 a b))
(/.f64 #s(literal 1 binary64) (/.f64 a b))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(/.f64 (/.f64 b (/.f64 a b)) b)
(*.f64 (neg.f64 (/.f64 b (*.f64 b a))) b)
(/.f64 (neg.f64 (/.f64 b (/.f64 a b))) b)
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a c) (*.f64 a b)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 b a))))
(/.f64 b (*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 a a)))
(/.f64 b (*.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 b a)))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 b a) a)) a)
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 b (*.f64 c a)))
(/.f64 (/.f64 (/.f64 b a) a) (/.f64 #s(literal -1 binary64) a))
(*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a)))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) a) (/.f64 #s(literal -1 binary64) (*.f64 a a)))
(*.f64 (-.f64 #s(literal 0 binary64) b) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 a a)) a))
(*.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 (*.f64 a #s(literal -1 binary64)) (*.f64 a a)))
(*.f64 (/.f64 (*.f64 a c) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal -2 binary64) b) a))
(+.f64 (/.f64 b (/.f64 a #s(literal -1/2 binary64))) (/.f64 b (/.f64 a #s(literal -1/2 binary64))))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 b (/.f64 a b)) (/.f64 #s(literal 1 binary64) b)))
(/.f64 #s(literal 1/2 binary64) (/.f64 a (/.f64 (*.f64 (*.f64 a c) #s(literal 2 binary64)) b)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (/.f64 b a) a)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 b (*.f64 b a))))
(/.f64 (*.f64 b (/.f64 a (*.f64 b a))) (/.f64 a b))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) (*.f64 a #s(literal -1 binary64))) (*.f64 a a))
(/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b) (*.f64 #s(literal 2 binary64) a))
(/.f64 (/.f64 (*.f64 c (*.f64 a a)) b) (*.f64 a a))
(/.f64 (/.f64 (*.f64 (*.f64 b (/.f64 b a)) a) b) a)
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 a b)) a) (/.f64 #s(literal -1 binary64) a))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 b b) (*.f64 a a))) (/.f64 a b))
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) a) (/.f64 #s(literal -1 binary64) (*.f64 a a))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (-.f64 #s(literal 0 binary64) a)) (*.f64 (-.f64 #s(literal 0 binary64) b) a)))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 b b) (*.f64 a a))) (/.f64 b a))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (-.f64 (/.f64 b a) (/.f64 c b)) c))
(/.f64 (/.f64 b (*.f64 a (/.f64 a b))) (-.f64 #s(literal 0 binary64) (/.f64 b a)))
(/.f64 (/.f64 b (/.f64 a b)) (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b a)))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 (*.f64 b #s(literal 2 binary64)) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64))))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 b a) (/.f64 (/.f64 b (*.f64 b a)) (/.f64 #s(literal 1 binary64) a))))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (/.f64 b a) (/.f64 #s(literal 1 binary64) a)) (/.f64 (/.f64 b a) b)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 b a)) (/.f64 b (*.f64 a (/.f64 a b)))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (-.f64 #s(literal 0 binary64) a)) (*.f64 b (*.f64 a a)))
(/.f64 (+.f64 c (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b b))) (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b a)))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (/.f64 #s(literal 1 binary64) b)) (/.f64 (*.f64 a #s(literal -1 binary64)) (*.f64 a a)))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 b #s(literal 1 binary64)) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 b a)) (/.f64 b a))))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 b (/.f64 #s(literal 1 binary64) a)) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 b a)) b)))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) a)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) b)))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (*.f64 (/.f64 b a) b) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 b a))))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (/.f64 b a) (/.f64 a (*.f64 a a))) (/.f64 (/.f64 b a) b)))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (*.f64 (/.f64 b (*.f64 b a)) b) (/.f64 #s(literal 1 binary64) a)) (/.f64 (/.f64 b a) b)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (/.f64 b (*.f64 b a)) (-.f64 #s(literal 0 binary64) (/.f64 b a))))))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) (*.f64 b b))) (/.f64 (*.f64 a #s(literal -1 binary64)) (*.f64 a a)))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (/.f64 (/.f64 b a) (*.f64 b (/.f64 #s(literal 1 binary64) b))) (/.f64 #s(literal 1 binary64) a)) (/.f64 (/.f64 b a) b)))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (/.f64 (/.f64 (/.f64 b a) a) (/.f64 #s(literal 1 binary64) a)) (/.f64 #s(literal 1 binary64) a)) (/.f64 (/.f64 b a) b)))
(/.f64 (-.f64 (neg.f64 b) (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 c (/.f64 a (*.f64 b b))))))) (*.f64 #s(literal 2 binary64) a))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 b a)) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 b a)) b))) (/.f64 #s(literal 1 binary64) a)) (/.f64 (/.f64 b a) b)))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (/.f64 b a) (/.f64 #s(literal 1 binary64) a)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 b a)) (*.f64 (/.f64 b a) (-.f64 #s(literal 0 binary64) (/.f64 b a))))) b)))
Outputs
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
Calls

1 calls:

34.0ms
b
Results
AccuracySegmentsBranch
67.1%2b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes4.0ms (0%)

Memory
12.6MiB live, 12.6MiB allocated
Counts
9 → 2
Calls
Call 1
Inputs
(/.f64 b a)
(/.f64 c b)
(/.f64 b (neg.f64 a))
(*.f64 (/.f64 #s(literal 1 binary64) a) b)
(*.f64 (/.f64 #s(literal 1 binary64) b) c)
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(/.f64 #s(literal -1 binary64) (/.f64 a b))
(/.f64 #s(literal 1 binary64) (/.f64 a b))
Outputs
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(/.f64 b (neg.f64 a))
Calls

1 calls:

4.0ms
b
Results
AccuracySegmentsBranch
67.0%2b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes27.0ms (0.2%)

Memory
-14.1MiB live, 22.8MiB allocated
Counts
6 → 2
Calls
Call 1
Inputs
(/.f64 b a)
(/.f64 c b)
(/.f64 b (neg.f64 a))
(*.f64 (/.f64 #s(literal 1 binary64) a) b)
(*.f64 (/.f64 #s(literal 1 binary64) b) c)
(-.f64 #s(literal 0 binary64) (/.f64 b a))
Outputs
(/.f64 c b)
(/.f64 b (neg.f64 a))
Calls

3 calls:

21.0ms
a
3.0ms
c
3.0ms
b
Results
AccuracySegmentsBranch
38.5%1c
38.5%1a
45.6%2b
Compiler

Compiled 12 to 9 computations (25% saved)

regimes6.0ms (0%)

Memory
15.2MiB live, 15.2MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
(/.f64 b a)
(/.f64 c b)
Outputs
(/.f64 c b)
Calls

3 calls:

2.0ms
a
2.0ms
c
2.0ms
b
Results
AccuracySegmentsBranch
10.1%1a
10.1%1c
10.1%1b
Compiler

Compiled 12 to 9 computations (25% saved)

regimes44.0ms (0.4%)

Memory
-27.0MiB live, 12.6MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
(/.f64 b a)
Outputs
(/.f64 b a)
Calls

3 calls:

1.0ms
a
1.0ms
b
1.0ms
c
Results
AccuracySegmentsBranch
2.5%1b
2.5%1c
2.5%1a
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch54.0ms (0.4%)

Memory
12.6MiB live, 70.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
13.0ms
3.5085381383259693e+80
1.434750095669165e+82
37.0ms
-2.042723364320352e-43
-2.3608760648374065e-44
Samples
32.0ms167×0valid
4.0ms24×1valid
3.0ms17×2valid
2.0ms27×0invalid
Compiler

Compiled 419 to 299 computations (28.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-mult: 6.0ms (39.5% of total)
ival-div: 2.0ms (13.2% of total)
ival-sub: 2.0ms (13.2% of total)
ival-sqrt: 2.0ms (13.2% of total)
adjust: 1.0ms (6.6% of total)
ival-neg: 1.0ms (6.6% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch37.0ms (0.3%)

Memory
7.9MiB live, 86.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
14.0ms
3.5085381383259693e+80
1.434750095669165e+82
19.0ms
-2.042723364320352e-43
-2.3608760648374065e-44
Samples
15.0ms162×0valid
4.0ms20×2valid
4.0ms26×1valid
3.0ms35×0invalid
Compiler

Compiled 406 to 299 computations (26.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-mult: 6.0ms (35.1% of total)
ival-sub: 4.0ms (23.4% of total)
ival-div: 2.0ms (11.7% of total)
ival-sqrt: 2.0ms (11.7% of total)
adjust: 1.0ms (5.8% of total)
ival-neg: 1.0ms (5.8% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch41.0ms (0.3%)

Memory
-27.6MiB live, 90.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
13.0ms
3.5085381383259693e+80
1.434750095669165e+82
22.0ms
-2.042723364320352e-43
-2.3608760648374065e-44
Samples
12.0ms159×0valid
7.0ms35×1valid
5.0ms14×2valid
3.0ms40×0invalid
Compiler

Compiled 393 to 286 computations (27.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-mult: 7.0ms (35.2% of total)
ival-sqrt: 4.0ms (20.1% of total)
adjust: 3.0ms (15.1% of total)
ival-sub: 3.0ms (15.1% of total)
ival-div: 2.0ms (10.1% of total)
ival-neg: 1.0ms (5% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch65.0ms (0.5%)

Memory
12.1MiB live, 129.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
38.0ms
2.9821747055752494e-93
2.6448850441173576e-73
21.0ms
-2.042723364320352e-43
-2.3608760648374065e-44
Samples
18.0ms231×0valid
8.0ms27×1valid
6.0ms83×0invalid
3.0ms14×2valid
Compiler

Compiled 487 to 360 computations (26.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-mult: 9.0ms (36.5% of total)
ival-sub: 7.0ms (28.4% of total)
ival-div: 3.0ms (12.2% of total)
ival-sqrt: 3.0ms (12.2% of total)
ival-neg: 2.0ms (8.1% of total)
adjust: 1.0ms (4.1% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch86.0ms (0.7%)

Memory
1.4MiB live, 116.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
24.0ms
2.9821747055752494e-93
2.6448850441173576e-73
54.0ms
-2.042723364320352e-43
-2.3608760648374065e-44
Samples
40.0ms21×2valid
18.0ms227×0valid
6.0ms70×0invalid
3.0ms24×1valid
Compiler

Compiled 470 to 343 computations (27% saved)

Precisions
Click to see histograms. Total time spent on operations: 57.0ms
adjust: 37.0ms (64.5% of total)
ival-mult: 9.0ms (15.7% of total)
ival-div: 3.0ms (5.2% of total)
ival-sub: 3.0ms (5.2% of total)
ival-sqrt: 3.0ms (5.2% of total)
ival-neg: 2.0ms (3.5% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch50.0ms (0.4%)

Memory
22.8MiB live, 102.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
25.0ms
2.9821747055752494e-93
2.6448850441173576e-73
20.0ms
-2.042723364320352e-43
-2.3608760648374065e-44
Samples
18.0ms223×0valid
6.0ms18×2valid
5.0ms67×0invalid
5.0ms31×1valid
Compiler

Compiled 470 to 343 computations (27% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-mult: 11.0ms (44.6% of total)
ival-div: 3.0ms (12.2% of total)
ival-sub: 3.0ms (12.2% of total)
ival-neg: 3.0ms (12.2% of total)
ival-sqrt: 3.0ms (12.2% of total)
adjust: 1.0ms (4.1% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch42.0ms (0.3%)

Memory
-7.6MiB live, 31.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
39.0ms
-5.208063523711948e-308
2.253579391660152e-307
Samples
31.0ms112×0valid
3.0ms45×0invalid
Compiler

Compiled 163 to 118 computations (27.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
ival-mult: 26.0ms (85.7% of total)
ival-sub: 1.0ms (3.3% of total)
ival-div: 1.0ms (3.3% of total)
ival-sqrt: 1.0ms (3.3% of total)
ival-neg: 1.0ms (3.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch23.0ms (0.2%)

Memory
-1.0MiB live, 35.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
21.0ms
-5.208063523711948e-308
2.253579391660152e-307
Samples
9.0ms112×0valid
4.0ms57×0invalid
Compiler

Compiled 142 to 111 computations (21.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult: 4.0ms (47.8% of total)
ival-sub: 1.0ms (12% of total)
ival-div: 1.0ms (12% of total)
ival-sqrt: 1.0ms (12% of total)
ival-neg: 1.0ms (12% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch39.0ms (0.3%)

Memory
-26.6MiB live, 71.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
35.0ms
-7.707799827137312e+74
-2.3867909102917583e+67
Samples
14.0ms49×1valid
11.0ms52×2valid
3.0ms38×0valid
1.0ms3valid
0.0ms0invalid
Compiler

Compiled 158 to 119 computations (24.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-mult: 6.0ms (35.5% of total)
ival-sub: 3.0ms (17.8% of total)
adjust: 2.0ms (11.8% of total)
ival-div: 2.0ms (11.8% of total)
ival-sqrt: 2.0ms (11.8% of total)
ival-neg: 2.0ms (11.8% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

simplify18.0ms (0.2%)

Memory
-3.8MiB live, 34.9MiB allocated
Algorithm
egg-herbie
Rules
56×*-commutative_binary64
54×+-commutative_binary64
40×sub-neg_binary64
32×neg-mul-1_binary64
30×neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
084237
1121237
2154237
3189237
4209237
5224237
6230237
7233237
8234237
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 b #s(literal -6226884921503587/100433627766186892221372630771322662657637687111424552206336 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (if (<=.f64 b #s(literal 14199999999999999345576777860105736406323467944790312898840394544963600426672848896 binary64)) (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) a) (/.f64 b a))) (/.f64 b (neg.f64 a))))
(if (<=.f64 b #s(literal -7532522082464017/50216813883093446110686315385661331328818843555712276103168 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (if (<=.f64 b #s(literal 14199999999999999345576777860105736406323467944790312898840394544963600426672848896 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) (/.f64 b (neg.f64 a))))
(if (<=.f64 b #s(literal -8235557476827325/100433627766186892221372630771322662657637687111424552206336 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (if (<=.f64 b #s(literal 14199999999999999345576777860105736406323467944790312898840394544963600426672848896 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (/.f64 b (neg.f64 a))))
(if (<=.f64 b #s(literal -8838159243424447/100433627766186892221372630771322662657637687111424552206336 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (if (<=.f64 b #s(literal 5410876812138479/31828687130226345097944463881396533766429193651030253916189694521162207808802136034115584 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a)) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b #s(literal -6779269874217615/50216813883093446110686315385661331328818843555712276103168 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (if (<=.f64 b #s(literal 7479741475603191/31828687130226345097944463881396533766429193651030253916189694521162207808802136034115584 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 (*.f64 c #s(literal -4 binary64)) a)))) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b #s(literal -2812141577453233/100433627766186892221372630771322662657637687111424552206336 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (if (<=.f64 b #s(literal 4058157609103859/15914343565113172548972231940698266883214596825515126958094847260581103904401068017057792 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64))))) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b #s(literal -20240225330731/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (-.f64 (/.f64 c b) (/.f64 b a)))
(if (<=.f64 b #s(literal -20240225330731/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (/.f64 b (neg.f64 a)))
(if (<=.f64 b #s(literal -24000000000000000184313689464783271257604786381983762319655122763776 binary64)) (/.f64 c b) (/.f64 b (neg.f64 a)))
(/.f64 c b)
(/.f64 b a)
Outputs
(if (<=.f64 b #s(literal -6226884921503587/100433627766186892221372630771322662657637687111424552206336 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (if (<=.f64 b #s(literal 14199999999999999345576777860105736406323467944790312898840394544963600426672848896 binary64)) (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) a) (/.f64 b a))) (/.f64 b (neg.f64 a))))
(if (<=.f64 b #s(literal -6226884921503587/100433627766186892221372630771322662657637687111424552206336 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) c) b) (if (<=.f64 b #s(literal 14199999999999999345576777860105736406323467944790312898840394544963600426672848896 binary64)) (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) a) (/.f64 b a))) (/.f64 b (-.f64 #s(literal 0 binary64) a))))
(if (<=.f64 b #s(literal -7532522082464017/50216813883093446110686315385661331328818843555712276103168 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (if (<=.f64 b #s(literal 14199999999999999345576777860105736406323467944790312898840394544963600426672848896 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) (/.f64 b (neg.f64 a))))
(if (<=.f64 b #s(literal -7532522082464017/50216813883093446110686315385661331328818843555712276103168 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) c) b) (if (<=.f64 b #s(literal 14199999999999999345576777860105736406323467944790312898840394544963600426672848896 binary64)) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 c a))))) (*.f64 a #s(literal 2 binary64))) (/.f64 b (-.f64 #s(literal 0 binary64) a))))
(if (<=.f64 b #s(literal -8235557476827325/100433627766186892221372630771322662657637687111424552206336 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (if (<=.f64 b #s(literal 14199999999999999345576777860105736406323467944790312898840394544963600426672848896 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (/.f64 b (neg.f64 a))))
(if (<=.f64 b #s(literal -8235557476827325/100433627766186892221372630771322662657637687111424552206336 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) c) b) (if (<=.f64 b #s(literal 14199999999999999345576777860105736406323467944790312898840394544963600426672848896 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (/.f64 b (-.f64 #s(literal 0 binary64) a))))
(if (<=.f64 b #s(literal -8838159243424447/100433627766186892221372630771322662657637687111424552206336 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (if (<=.f64 b #s(literal 5410876812138479/31828687130226345097944463881396533766429193651030253916189694521162207808802136034115584 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a)) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b #s(literal -8838159243424447/100433627766186892221372630771322662657637687111424552206336 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) c) b) (if (<=.f64 b #s(literal 5410876812138479/31828687130226345097944463881396533766429193651030253916189694521162207808802136034115584 binary64)) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal 2 binary64))) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b #s(literal -6779269874217615/50216813883093446110686315385661331328818843555712276103168 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (if (<=.f64 b #s(literal 7479741475603191/31828687130226345097944463881396533766429193651030253916189694521162207808802136034115584 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 (*.f64 c #s(literal -4 binary64)) a)))) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b #s(literal -6779269874217615/50216813883093446110686315385661331328818843555712276103168 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) c) b) (if (<=.f64 b #s(literal 7479741475603191/31828687130226345097944463881396533766429193651030253916189694521162207808802136034115584 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b #s(literal -2812141577453233/100433627766186892221372630771322662657637687111424552206336 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (if (<=.f64 b #s(literal 4058157609103859/15914343565113172548972231940698266883214596825515126958094847260581103904401068017057792 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64))))) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b #s(literal -2812141577453233/100433627766186892221372630771322662657637687111424552206336 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) c) b) (if (<=.f64 b #s(literal 4058157609103859/15914343565113172548972231940698266883214596825515126958094847260581103904401068017057792 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b #s(literal -20240225330731/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (-.f64 (/.f64 c b) (/.f64 b a)))
(if (<=.f64 b #s(literal -20240225330731/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) c) b) (-.f64 (/.f64 c b) (/.f64 b a)))
(if (<=.f64 b #s(literal -20240225330731/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (/.f64 b (neg.f64 a)))
(if (<=.f64 b #s(literal -20240225330731/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) c) b) (/.f64 b (-.f64 #s(literal 0 binary64) a)))
(if (<=.f64 b #s(literal -24000000000000000184313689464783271257604786381983762319655122763776 binary64)) (/.f64 c b) (/.f64 b (neg.f64 a)))
(if (<=.f64 b #s(literal -24000000000000000184313689464783271257604786381983762319655122763776 binary64)) (/.f64 c b) (/.f64 b (-.f64 #s(literal 0 binary64) a)))
(/.f64 c b)
(/.f64 b a)

soundness901.0ms (7.4%)

Memory
48.6MiB live, 1 020.3MiB allocated
Rules
9 868×accelerator-lowering-fma.f32
9 868×accelerator-lowering-fma.f64
7 984×*-lowering-*.f32
7 984×*-lowering-*.f64
7 196×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034180
1191176
21673170
08286161
032144
1186139
01680131
05453114
117183085
257523046
081142886
011699081
138478909
081478564
01449
17249
258247
0809643
032150
1206129
22265123
08821116
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 517 to 267 computations (48.4% saved)

preprocess157.0ms (1.3%)

Memory
-42.5MiB live, 199.2MiB allocated
Compiler

Compiled 766 to 254 computations (66.8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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