quadm (p42, negative)

Time bar (total: 11.7s)

analyze132.0ms (1.1%)

Memory
-5.8MiB live, 227.7MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
25%25%74.9%0.1%0%0%0%4
37.5%37.4%62.4%0.1%0%0%0%5
37.5%37.4%62.4%0.1%0%0%0%6
40%37.4%56.2%0.1%0%6.2%0%7
48.3%45.2%48.4%0.1%0%6.2%0%8
53%48.4%42.9%0.1%0%8.6%0%9
58.1%50.3%36.3%0.1%0%13.3%0%10
66.1%56.8%29.1%0.1%0%14%0%11
70.4%58.8%24.7%0.1%0%16.4%0%12
Compiler

Compiled 19 to 16 computations (15.8% saved)

sample1.9s (15.9%)

Memory
32.3MiB live, 2 095.9MiB allocated
Samples
522.0ms5 538×0valid
520.0ms1 078×2valid
280.0ms1 395×1valid
87.0ms932×0invalid
47.0ms187×3valid
17.0ms58×4valid
4.0ms11×5exit
Precisions
Click to see histograms. Total time spent on operations: 1.1s
ival-mult: 546.0ms (48.4% of total)
ival-sqrt: 159.0ms (14.1% of total)
ival-sub: 141.0ms (12.5% of total)
adjust: 100.0ms (8.9% of total)
ival-div: 91.0ms (8.1% of total)
ival-neg: 71.0ms (6.3% of total)
exact: 9.0ms (0.8% of total)
ival-true: 7.0ms (0.6% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

preprocess227.0ms (1.9%)

Memory
-16.4MiB live, 142.0MiB allocated
Algorithm
2×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
1×iter limit
1×saturated
1×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))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (fma.f64 c #s(literal -4 binary64) #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64))))) a) #s(literal 0 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))

explain189.0ms (1.6%)

Memory
15.3MiB live, 298.7MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
900-0-(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))
640-0-(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))))
120-0-(/.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))
40-0-(-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))
00-0-a
01(-9.128545527592848e-296 3.748923845117911e+208 -1.2929353424505845e-29)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-rescue880
↳(*.f64 b b)overflow75
↳(*.f64 #s(literal 4 binary64) (*.f64 a c))overflow19
↳(*.f64 a c)overflow19
↳(-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))overflow88
-.f64(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))))cancellation640
/.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/n120
↳(*.f64 b b)underflow42
↳(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))))underflow25
↳(*.f64 #s(literal 4 binary64) (*.f64 a c))underflow23
↳(*.f64 a c)underflow24
↳(-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))underflow2
-.f64(-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))nan-rescue40
↳(*.f64 b b)overflow75
↳(*.f64 #s(literal 4 binary64) (*.f64 a c))overflow19
↳(*.f64 a c)overflow19
sqrt.f64(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))uflow-rescue20
↳(*.f64 b b)underflow42
↳(*.f64 #s(literal 4 binary64) (*.f64 a c))underflow23
↳(*.f64 a c)underflow24
↳(-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))underflow2
*.f64(*.f64 #s(literal 4 binary64) (*.f64 a c))n*u10
Confusion
Predicted +Predicted -
+1200
-14122
Precision
0.8955223880597015
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+12000
-140122
Precision?
0.8955223880597015
Recall?
1.0
Freqs
test
numberfreq
0122
1100
231
33
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
41.0ms342×0valid
22.0ms88×2valid
12.0ms70×1valid
3.0ms10×3valid
1.0ms2×4valid
Compiler

Compiled 184 to 60 computations (67.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 50.0ms
ival-mult: 22.0ms (44.4% of total)
ival-sub: 7.0ms (14.1% of total)
ival-sqrt: 7.0ms (14.1% of total)
ival-div: 5.0ms (10.1% of total)
adjust: 3.0ms (6.1% of total)
ival-neg: 3.0ms (6.1% of total)
exact: 1.0ms (2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune5.0ms (0%)

Memory
-35.3MiB live, 1.4MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶55.7%
(/.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)

simplify106.0ms (0.9%)

Memory
27.9MiB live, 102.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓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-diff192
(-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))
✓cost-diff192
(/.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
1×iter limit
1×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))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (fma.f64 c #s(literal -4 binary64) #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64))))) a) #s(literal 0 binary64))
(- (neg b) (sqrt (- (* b b) (* 4 (* a c)))))
(-.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (fma.f64 a (fma.f64 c #s(literal -4 binary64) #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)))))
(neg b)
(-.f64 #s(literal 0 binary64) b)
b
(sqrt (- (* b b) (* 4 (* a c))))
(sqrt.f64 (fma.f64 a (fma.f64 c #s(literal -4 binary64) #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64))))
(- (* b b) (* 4 (* a c)))
(fma.f64 a (fma.f64 c #s(literal -4 binary64) #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)))
(* b b)
(fma.f64 b b #s(literal 0 binary64))
(* 4 (* a c))
(fma.f64 #s(literal 4 binary64) (fma.f64 a c #s(literal 0 binary64)) #s(literal 0 binary64))
4
#s(literal 4 binary64)
(* a c)
(fma.f64 a c #s(literal 0 binary64))
a
c
(* 2 a)
(fma.f64 a #s(literal 2 binary64) #s(literal 0 binary64))
2
#s(literal 2 binary64)

localize56.0ms (0.5%)

Memory
3.4MiB live, 77.0MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy98.7%
(-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))
✓accuracy95.4%
(/.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))
✓accuracy77.3%
(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))))
✓accuracy67.3%
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))
Samples
19.0ms171×0valid
10.0ms44×2valid
6.0ms5×3valid
6.0ms35×1valid
0.0ms1×4valid
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 (34.5% of total)
ival-sub: 4.0ms (19.7% of total)
ival-div: 3.0ms (14.8% of total)
ival-sqrt: 3.0ms (14.8% of total)
adjust: 2.0ms (9.9% of total)
ival-neg: 2.0ms (9.9% 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
13.3MiB live, 47.3MiB allocated
Counts
4 → 144
Calls
Call 1
Inputs
#<alt (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a))>
#<alt (- (* b b) (* 4 (* a c)))>
#<alt (- (neg b) (sqrt (- (* b b) (* 4 (* a c)))))>
#<alt (sqrt (- (* 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 (* -4 (* a c))>
#<alt (- (pow b 2) (* 4 (* a c)))>
#<alt (- (pow b 2) (* 4 (* a c)))>
#<alt (- (pow b 2) (* 4 (* a c)))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (pow b 2)>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (* -4 (* a c))>
#<alt (* a (- (/ (pow b 2) a) (* 4 c)))>
#<alt (* a (- (/ (pow b 2) a) (* 4 c)))>
#<alt (* a (- (/ (pow b 2) a) (* 4 c)))>
#<alt (* -4 (* a c))>
#<alt (* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))>
#<alt (* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))>
#<alt (* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))>
#<alt (pow b 2)>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (* -4 (* a c))>
#<alt (* c (- (/ (pow b 2) c) (* 4 a)))>
#<alt (* c (- (/ (pow b 2) c) (* 4 a)))>
#<alt (* c (- (/ (pow b 2) c) (* 4 a)))>
#<alt (* -4 (* a c))>
#<alt (* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))>
#<alt (* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))>
#<alt (* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))>
#<alt (* -1 (* (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))))))))>
Calls

36 calls:

TimeVariablePointExpression
7.0ms
c
@inf
(/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a))
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
a
@-inf
(sqrt (- (* b b) (* 4 (* a c))))
1.0ms
b
@inf
(/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a))

rewrite322.0ms (2.7%)

Memory
-11.7MiB live, 550.7MiB allocated
Algorithm
1×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
1×iter limit
1×node limit
Counts
4 → 484
Calls
Call 1
Inputs
(/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a))
(- (* b b) (* 4 (* a c)))
(- (neg b) (sqrt (- (* b b) (* 4 (* a c)))))
(sqrt (- (* b b) (* 4 (* a c))))
Outputs
(+.f64 (/.f64 b (*.f64 a #s(literal 2 binary64))) (/.f64 (sqrt.f64 (fma.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 (fma.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 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))))
(+.f64 (/.f64 (sqrt.f64 (fma.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 (fma.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 (fma.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 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(-.f64 (/.f64 b (*.f64 a #s(literal 2 binary64))) (/.f64 (sqrt.f64 (fma.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 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 b (fma.f64 b b #s(literal 0 binary64))) (fma.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (fma.f64 b b (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (*.f64 a #s(literal 2 binary64))) (/.f64 (/.f64 (*.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (fma.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (fma.f64 b b (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (*.f64 a #s(literal 2 binary64))))
(-.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 0 binary64)) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (*.f64 a #s(literal 2 binary64))) (/.f64 (/.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (*.f64 a #s(literal 2 binary64))))
(-.f64 (/.f64 (*.f64 b (fma.f64 b b #s(literal 0 binary64))) (*.f64 (*.f64 a #s(literal 2 binary64)) (fma.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (fma.f64 b b (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (/.f64 (*.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 (*.f64 a #s(literal 2 binary64)) (fma.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (fma.f64 b b (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))))
(-.f64 (/.f64 (fma.f64 b b #s(literal 0 binary64)) (*.f64 a (*.f64 #s(literal 2 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))))) (/.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (*.f64 a (*.f64 #s(literal 2 binary64) (+.f64 b (sqrt.f64 (fma.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 (fma.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 (fma.f64 b b #s(literal 0 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 a a)))) (fma.f64 (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal 2 binary64))) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))) (/.f64 (fma.f64 b b #s(literal 0 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 a a))))) (/.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal 2 binary64))) (/.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (*.f64 #s(literal 4 binary64) (*.f64 a a)))) (fma.f64 (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal 2 binary64))) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))) (/.f64 (fma.f64 b b #s(literal 0 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 a a))))))
(-.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 0 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 a a))) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64)))) (/.f64 (/.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (*.f64 #s(literal 4 binary64) (*.f64 a a))) (/.f64 (-.f64 b (sqrt.f64 (fma.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 (fma.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 (fma.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 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))))
(fma.f64 b (/.f64 #s(literal -1/2 binary64) a) (/.f64 (sqrt.f64 (fma.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 (fma.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 (fma.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 (fma.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 (fma.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 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))))
(fma.f64 (sqrt.f64 (fma.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 (fma.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 (fma.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 (fma.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 (fma.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 (fma.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 (fma.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 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) a) b (/.f64 (sqrt.f64 (fma.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 (fma.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 (fma.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 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (/.f64 b (*.f64 a #s(literal 2 binary64))))
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(*.f64 (sqrt.f64 (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 0 binary64))) (*.f64 (*.f64 a (*.f64 c (*.f64 a c))) #s(literal -16 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 #s(literal 4 binary64) (*.f64 a c)))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 0 binary64))) (*.f64 (*.f64 a (*.f64 c (*.f64 a c))) #s(literal -16 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 #s(literal 4 binary64) (*.f64 a c))))))
(*.f64 (sqrt.f64 (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 0 binary64))) (*.f64 (*.f64 a (*.f64 c (*.f64 a c))) #s(literal -16 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 b b (*.f64 #s(literal 4 binary64) (*.f64 a c))))))
(*.f64 (pow.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (sqrt.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))

simplify396.0ms (3.4%)

Memory
-11.0MiB live, 490.8MiB allocated
Algorithm
1×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
257583046
081202886
Stop Event
1×iter limit
1×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)))))
(* -4 (* a c))
(- (pow b 2) (* 4 (* a c)))
(- (pow b 2) (* 4 (* a c)))
(- (pow b 2) (* 4 (* a c)))
(pow b 2)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(pow b 2)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* -4 (* a c))
(* a (- (/ (pow b 2) a) (* 4 c)))
(* a (- (/ (pow b 2) a) (* 4 c)))
(* a (- (/ (pow b 2) a) (* 4 c)))
(* -4 (* a c))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* -4 (* a c))
(* c (- (/ (pow b 2) c) (* 4 a)))
(* c (- (/ (pow b 2) c) (* 4 a)))
(* c (- (/ (pow b 2) c) (* 4 a)))
(* -4 (* a c))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(* -1 (* (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))))))))
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) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(fma.f64 b (fma.f64 (/.f64 b (sqrt.f64 #s(literal -4 binary64))) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a)))))) (/.f64 #s(literal -1/2 binary64) a)) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -1/2 binary64))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (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)))))
(fma.f64 b (fma.f64 b (fma.f64 #s(literal -1/64 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 c (*.f64 c c))))) (*.f64 b b)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a)))))) (sqrt.f64 #s(literal -4 binary64)))) (/.f64 #s(literal -1/2 binary64) a)) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -1/2 binary64))))
(* -1 (/ 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)) (fma.f64 a (/.f64 (*.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 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b b))) (/.f64 c (*.f64 b b))) (fma.f64 #s(literal 2 binary64) (*.f64 (*.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 #s(literal 0 binary64) (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)) b)
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))
(/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b))) c)) (-.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 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64))) (*.f64 a (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b))) c))) (-.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 c (/.f64 a b)) b) a)
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/.f64 (fma.f64 a (*.f64 c (fma.f64 c (/.f64 a (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) b))) (-.f64 #s(literal 0 binary64) b)) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)
(/.f64 (fma.f64 a (fma.f64 a (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 c c))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b)))) (/.f64 c b)) (-.f64 #s(literal 0 binary64) 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) (fma.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))))))
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(- (* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) (* 2 b))
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(- (* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) (* 2 b))
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(* -1 (* (sqrt (* a c)) (sqrt -4)))
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(* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
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(* c (- (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))
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(* 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)))))
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(* 2 (* (sqrt (* a c)) (sqrt -1)))
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(* -1 (* c (- (/ b c) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
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(* -1 (* c (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
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(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a)))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))
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b
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
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(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
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(* -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))))))))
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b
(+ b (* -2 (/ (* a c) b)))
(fma.f64 c (*.f64 #s(literal -2 binary64) (/.f64 a b)) b)
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(fma.f64 (*.f64 a #s(literal -2 binary64)) (*.f64 c (fma.f64 c (/.f64 a (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) b))) b)
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(fma.f64 a (fma.f64 a (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 c c) #s(literal -2 binary64)) (*.f64 b (*.f64 b b)))) (*.f64 (/.f64 c b) #s(literal -2 binary64))) b)
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a)))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
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(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(*.f64 a (fma.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 c (*.f64 c c))))) (*.f64 (*.f64 b b) (*.f64 b b))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/32 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/2 binary64))))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(*.f64 a (fma.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 7 binary64))))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64)))) (fma.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 c (*.f64 c c))))) (*.f64 (*.f64 b b) (*.f64 b b))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/32 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/2 binary64)))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (sqrt.f64 (*.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -2 binary64)))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) a))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 c (*.f64 c c))))) (*.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/64 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/4 binary64))))) (-.f64 #s(literal 0 binary64) a))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 c (*.f64 c c))))) (*.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/64 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 7 binary64))))) (*.f64 (*.f64 (pow.f64 b #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/512 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (-.f64 #s(literal 0 binary64) a))
b
(+ b (* -2 (/ (* a c) b)))
(fma.f64 c (*.f64 #s(literal -2 binary64) (/.f64 a b)) b)
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(fma.f64 (*.f64 c #s(literal -2 binary64)) (fma.f64 a (*.f64 c (/.f64 a (*.f64 b (*.f64 b b)))) (/.f64 a b)) b)
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(fma.f64 c (fma.f64 c (fma.f64 (*.f64 #s(literal -4 binary64) (*.f64 a (*.f64 a a))) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 a a) #s(literal -2 binary64)) (*.f64 b (*.f64 b b)))) (*.f64 #s(literal -2 binary64) (/.f64 a b))) b)
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a)))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(*.f64 c (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c)) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 c c)))))))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(*.f64 c (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64)))))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/32 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c)) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 c c))))))))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(*.f64 c (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64)))))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/32 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 7 binary64))))) (*.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64))) #s(literal 1/16 binary64)) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c)) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 c 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 (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(-.f64 #s(literal 0 binary64) (*.f64 c (fma.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 c c)))))) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a 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 #s(literal 0 binary64) (*.f64 c (fma.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (fma.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 b b) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 c c))))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 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)))))))
(* -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 #s(literal 0 binary64) (*.f64 c (fma.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64))))) #s(literal -1/64 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 7 binary64))))) (*.f64 (*.f64 (pow.f64 b #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/512 binary64)) (fma.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 c c)))))) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))))))))

eval91.0ms (0.8%)

Memory
15.2MiB live, 130.5MiB allocated
Compiler

Compiled 25 005 to 2 159 computations (91.4% saved)

prune179.0ms (1.5%)

Memory
-33.2MiB live, 168.3MiB allocated
Pruning

19 alts after pruning (19 fresh and 0 done)

PrunedKeptTotal
New60919628
Fresh000
Picked101
Done000
Total61019629
Accuracy
93.7%
Counts
629 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
24.6%
(/.f64 (fma.f64 b b (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))))
30.3%
(/.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b) (*.f64 #s(literal 2 binary64) a))
▶33.3%
(/.f64 (-.f64 (*.f64 c (/.f64 a b)) b) a)
35.4%
(/.f64 (-.f64 (*.f64 b a) (*.f64 (*.f64 a #s(literal -2 binary64)) (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) #s(literal 1/2 binary64)))) (*.f64 (*.f64 a #s(literal -2 binary64)) a))
50.1%
(/.f64 (-.f64 (neg.f64 b) (/.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a))
54.7%
(/.f64 (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (*.f64 #s(literal 2 binary64) a))
12.3%
(/.f64 (-.f64 (neg.f64 b) (-.f64 #s(literal 0 binary64) b)) (*.f64 #s(literal 2 binary64) a))
▶50.7%
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (fma.f64 a #s(literal -4 binary64) (/.f64 (*.f64 b b) c))))) (*.f64 #s(literal 2 binary64) a))
34.6%
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))
28.2%
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 b b))) (*.f64 #s(literal 2 binary64) a))
▶30.2%
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)) b)
34.1%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) a)))
34.1%
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))))
34.1%
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) a))
33.4%
(-.f64 (/.f64 c b) (/.f64 b a))
36.0%
(-.f64 #s(literal 0 binary64) (/.f64 c b))
▶33.4%
(-.f64 #s(literal 0 binary64) (/.f64 b a))
▶55.5%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
33.2%
(*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a)))
Compiler

Compiled 664 to 426 computations (35.8% saved)

simplify331.0ms (2.8%)

Memory
16.8MiB live, 226.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(sqrt.f64 (*.f64 c (fma.f64 a #s(literal -4 binary64) (/.f64 (*.f64 b b) c))))
✓cost-diff0
(-.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (fma.f64 a #s(literal -4 binary64) (/.f64 (*.f64 b b) c)))))
✓cost-diff192
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (fma.f64 a #s(literal -4 binary64) (/.f64 (*.f64 b b) c))))) (*.f64 #s(literal 2 binary64) a))
✓cost-diff640
(*.f64 c (fma.f64 a #s(literal -4 binary64) (/.f64 (*.f64 b b) c)))
✓cost-diff0
(/.f64 a (*.f64 b b))
✓cost-diff0
(fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)
✓cost-diff0
(-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c))
✓cost-diff0
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)) b)
✓cost-diff-64
(*.f64 c (/.f64 a b))
✓cost-diff0
(/.f64 a b)
✓cost-diff0
(-.f64 (*.f64 c (/.f64 a b)) b)
✓cost-diff384
(/.f64 (-.f64 (*.f64 c (/.f64 a b)) b) a)
✓cost-diff0
(/.f64 b a)
✓cost-diff0
(-.f64 #s(literal 0 binary64) (/.f64 b a))
✓cost-diff0
(fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))
✓cost-diff0
(sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))
✓cost-diff0
(+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))
✓cost-diff0
(/.f64 #s(literal -1/2 binary64) a)
Rules
5 532×accelerator-lowering-fma.f32
5 532×accelerator-lowering-fma.f64
3 848×*-lowering-*.f32
3 848×*-lowering-*.f64
3 082×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035229
192229
2219229
3465227
4973223
52188223
65329223
77930223
08071213
Stop Event
1×iter limit
1×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)))
(* c (* a -4))
c
(* a -4)
-4
(- 0 (/ b a))
0
(/ b a)
b
a
(/ (- (* c (/ a b)) b) a)
(- (* c (/ a b)) b)
(* c (/ a b))
c
(/ a b)
a
b
(/ (- 0 (+ (* (* c c) (/ a (* b b))) c)) b)
(- 0 (+ (* (* c c) (/ a (* b b))) c))
0
(+ (* (* c c) (/ a (* b b))) c)
(* c c)
c
(/ a (* b b))
a
(* b b)
b
(/ (- (neg b) (sqrt (* c (+ (* a -4) (/ (* b b) c))))) (* 2 a))
(- (neg b) (sqrt (* c (+ (* a -4) (/ (* b b) c)))))
(neg b)
b
(sqrt (* c (+ (* a -4) (/ (* b b) c))))
(* c (+ (* a -4) (/ (* b b) c)))
c
(+ (* a -4) (/ (* b b) c))
a
-4
(/ (* b b) c)
(* b b)
(* 2 a)
2
Outputs
(* (/ -1/2 a) (+ b (sqrt (+ (* b b) (* c (* a -4))))))
(fma.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 a (fma.f64 c #s(literal -4 binary64) #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64))))) #s(literal 0 binary64))
(/ -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 (fma.f64 a (fma.f64 c #s(literal -4 binary64) #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)))))
b
(sqrt (+ (* b b) (* c (* a -4))))
(sqrt.f64 (fma.f64 a (fma.f64 c #s(literal -4 binary64) #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64))))
(+ (* b b) (* c (* a -4)))
(fma.f64 a (fma.f64 c #s(literal -4 binary64) #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)))
(* c (* a -4))
(fma.f64 a (fma.f64 c #s(literal -4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
c
(* a -4)
(fma.f64 a #s(literal -4 binary64) #s(literal 0 binary64))
-4
#s(literal -4 binary64)
(- 0 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
0
#s(literal 0 binary64)
(/ b a)
(/.f64 b a)
b
a
(/ (- (* c (/ a b)) b) a)
(-.f64 (/.f64 c b) (/.f64 b a))
(- (* c (/ a b)) b)
(-.f64 (/.f64 (fma.f64 a c #s(literal 0 binary64)) b) b)
(* c (/ a b))
(/.f64 (fma.f64 a c #s(literal 0 binary64)) b)
c
(/ a b)
(/.f64 a b)
a
b
(/ (- 0 (+ (* (* c c) (/ a (* b b))) c)) b)
(fma.f64 (/.f64 c b) (-.f64 #s(literal -1 binary64) (fma.f64 c (/.f64 a (fma.f64 b b #s(literal 0 binary64))) #s(literal 0 binary64))) #s(literal 0 binary64))
(- 0 (+ (* (* c c) (/ a (* b b))) c))
(fma.f64 (-.f64 #s(literal 0 binary64) c) (fma.f64 a (/.f64 c (fma.f64 b b #s(literal 0 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64))
0
#s(literal 0 binary64)
(+ (* (* c c) (/ a (* b b))) c)
(fma.f64 c (fma.f64 a (/.f64 c (fma.f64 b b #s(literal 0 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64))
(* c c)
(fma.f64 c c #s(literal 0 binary64))
c
(/ a (* b b))
(/.f64 a (fma.f64 b b #s(literal 0 binary64)))
a
(* b b)
(fma.f64 b b #s(literal 0 binary64))
b
(/ (- (neg b) (sqrt (* c (+ (* a -4) (/ (* b b) c))))) (* 2 a))
(fma.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 a (fma.f64 c #s(literal -4 binary64) #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64))))) #s(literal 0 binary64))
(- (neg b) (sqrt (* c (+ (* a -4) (/ (* b b) c)))))
(-.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (fma.f64 a (fma.f64 c #s(literal -4 binary64) #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)))))
(neg b)
(-.f64 #s(literal 0 binary64) b)
b
(sqrt (* c (+ (* a -4) (/ (* b b) c))))
(sqrt.f64 (fma.f64 a (fma.f64 c #s(literal -4 binary64) #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64))))
(* c (+ (* a -4) (/ (* b b) c)))
(fma.f64 a (fma.f64 c #s(literal -4 binary64) #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)))
c
(+ (* a -4) (/ (* b b) c))
(fma.f64 a #s(literal -4 binary64) (fma.f64 b (/.f64 b c) #s(literal 0 binary64)))
a
-4
#s(literal -4 binary64)
(/ (* b b) c)
(fma.f64 b (/.f64 b c) #s(literal 0 binary64))
(* b b)
(fma.f64 b b #s(literal 0 binary64))
(* 2 a)
(fma.f64 a #s(literal 2 binary64) #s(literal 0 binary64))
2
#s(literal 2 binary64)

localize188.0ms (1.6%)

Memory
-8.0MiB live, 148.9MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy93.3%
(*.f64 c (fma.f64 a #s(literal -4 binary64) (/.f64 (*.f64 b b) c)))
✓accuracy88.9%
(/.f64 (*.f64 b b) c)
✓accuracy77.3%
(-.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (fma.f64 a #s(literal -4 binary64) (/.f64 (*.f64 b b) c)))))
✓accuracy67.3%
(sqrt.f64 (*.f64 c (fma.f64 a #s(literal -4 binary64) (/.f64 (*.f64 b b) c))))
✓accuracy100.0%
(*.f64 b b)
✓accuracy99.6%
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)) b)
✓accuracy91.8%
(/.f64 a (*.f64 b b))
✓accuracy78.1%
(fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)
✓accuracy100.0%
(/.f64 a b)
✓accuracy100.0%
(-.f64 (*.f64 c (/.f64 a b)) b)
✓accuracy95.5%
(/.f64 (-.f64 (*.f64 c (/.f64 a b)) b) a)
✓accuracy89.3%
(*.f64 c (/.f64 a b))
✓accuracy100.0%
(/.f64 b a)
✓accuracy100.0%
(-.f64 #s(literal 0 binary64) (/.f64 b a))
✓accuracy98.4%
(fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))
✓accuracy95.1%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
✓accuracy77.3%
(+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))
✓accuracy67.3%
(sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))
Samples
40.0ms171×0valid
37.0ms44×2valid
30.0ms35×1valid
5.0ms6×3valid
Compiler

Compiled 229 to 37 computations (83.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 75.0ms
ival-sqrt: 20.0ms (26.6% of total)
ival-div: 18.0ms (24% of total)
ival-mult: 17.0ms (22.7% of total)
ival-add: 7.0ms (9.3% of total)
ival-sub: 6.0ms (8% of total)
adjust: 5.0ms (6.7% of total)
ival-neg: 2.0ms (2.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series79.0ms (0.7%)

Memory
-9.5MiB live, 70.7MiB allocated
Counts
21 → 648
Calls
Call 1
Inputs
#<alt (/ -1/2 a)>
#<alt (+ b (sqrt (+ (* b b) (* c (* a -4)))))>
#<alt (sqrt (+ (* b b) (* c (* a -4))))>
#<alt (+ (* b b) (* c (* a -4)))>
#<alt (- 0 (/ b a))>
#<alt (/ b a)>
#<alt (/ (- (* c (/ a b)) b) a)>
#<alt (- (* c (/ a b)) b)>
#<alt (/ a b)>
#<alt (* c (/ a b))>
#<alt (/ (- 0 (+ (* (* c c) (/ a (* b b))) c)) b)>
#<alt (- 0 (+ (* (* c c) (/ a (* b b))) c))>
#<alt (+ (* (* c c) (/ a (* b b))) c)>
#<alt (/ a (* b b))>
#<alt (* c (+ (* a -4) (/ (* b b) c)))>
#<alt (/ (- (neg b) (sqrt (* c (+ (* a -4) (/ (* b b) c))))) (* 2 a))>
#<alt (- (neg b) (sqrt (* c (+ (* a -4) (/ (* b b) c)))))>
#<alt (sqrt (* c (+ (* a -4) (/ (* b b) c))))>
#<alt (* (/ -1/2 a) (+ b (sqrt (+ (* b b) (* c (* a -4))))))>
#<alt (* b b)>
#<alt (/ (* b b) c)>
Outputs
#<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))>
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#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<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 (* 1/2 (* (sqrt (/ c a)) (* (sqrt -4) (pow (sqrt -1) 2))))>
#<alt (* -1 (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* (sqrt -4) (pow (sqrt -1) 2)))) (* 1/2 (/ b (* a c))))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (pow (sqrt -1) 2)) (sqrt -4))))) c)) (* -1/2 (* (sqrt (/ 1 (* a c))) (* (sqrt -4) (pow (sqrt -1) 2)))))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (pow (sqrt -1) 2)) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (pow (sqrt -1) 2)) (sqrt -4))))) c)) (* -1/2 (/ b a))) c)) (* -1/2 (* (sqrt (/ 1 (* a c))) (* (sqrt -4) (pow (sqrt -1) 2)))))))>
#<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 (* (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 (- (* 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 (* (sqrt (* a c)) (* (sqrt -4) (pow (sqrt -1) 2)))>
#<alt (* -1 (* c (- (/ b c) (* (sqrt (/ a c)) (* (sqrt -4) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* c (- (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (pow (sqrt -1) 2)) (sqrt -4)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -4) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (pow (sqrt -1) 2)) (pow (sqrt -4) 3)))) (* -1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (pow (sqrt -1) 2)) (sqrt -4))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -4) (pow (sqrt -1) 2))))))>
#<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 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 (* -1 (* (sqrt (* a c)) (* (sqrt -4) (pow (sqrt -1) 2))))>
#<alt (* -1 (* c (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (pow (sqrt -1) 2)) (sqrt -4)))) (* (sqrt (/ a c)) (* (sqrt -4) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* c (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (pow (sqrt -1) 2)) (sqrt -4)))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (pow (sqrt -1) 2)) (pow (sqrt -4) 3)))) (* (sqrt (/ a c)) (* (sqrt -4) (pow (sqrt -1) 2)))))))>
#<alt (* -1 (* c (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (pow (sqrt -1) 2)) (sqrt -4)))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (pow (sqrt -1) 2)) (pow (sqrt -4) 3)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (pow (sqrt -1) 2)) (pow (sqrt -4) 5)))) (* (sqrt (/ a c)) (* (sqrt -4) (pow (sqrt -1) 2))))))))>
#<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 (* (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 (* -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 (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (/ (pow b 2) c)>
#<alt (/ (pow b 2) c)>
#<alt (/ (pow b 2) c)>
#<alt (/ (pow b 2) c)>
#<alt (/ (pow b 2) c)>
#<alt (/ (pow b 2) c)>
#<alt (/ (pow b 2) c)>
#<alt (/ (pow b 2) c)>
#<alt (/ (pow b 2) c)>
#<alt (/ (pow b 2) c)>
#<alt (/ (pow b 2) c)>
#<alt (/ (pow b 2) c)>
#<alt (/ (pow b 2) c)>
#<alt (/ (pow b 2) c)>
#<alt (/ (pow b 2) c)>
#<alt (/ (pow b 2) c)>
#<alt (/ (pow b 2) c)>
#<alt (/ (pow b 2) c)>
#<alt (/ (pow b 2) c)>
#<alt (/ (pow b 2) c)>
#<alt (/ (pow b 2) c)>
#<alt (/ (pow b 2) c)>
#<alt (/ (pow b 2) c)>
#<alt (/ (pow b 2) c)>
Calls

162 calls:

TimeVariablePointExpression
17.0ms
a
@inf
(/ (- (* c (/ a b)) b) a)
15.0ms
c
@-inf
(/ (- (neg b) (sqrt (* c (+ (* a -4) (/ (* b b) c))))) (* 2 a))
5.0ms
c
@0
(* c (+ (* a -4) (/ (* b b) c)))
2.0ms
b
@0
(- 0 (/ b a))
1.0ms
a
@0
(/ (- 0 (+ (* (* c c) (/ a (* b b))) c)) b)

rewrite714.0ms (6.1%)

Memory
18.2MiB live, 604.3MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 772×/-lowering-/.f32
4 772×/-lowering-/.f64
3 600×*-lowering-*.f32
3 600×*-lowering-*.f64
3 032×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035185
1235185
22250179
08750168
Stop Event
1×iter limit
1×node limit
Counts
21 → 1 378
Calls
Call 1
Inputs
(/ -1/2 a)
(+ b (sqrt (+ (* b b) (* c (* a -4)))))
(sqrt (+ (* b b) (* c (* a -4))))
(+ (* b b) (* c (* a -4)))
(- 0 (/ b a))
(/ b a)
(/ (- (* c (/ a b)) b) a)
(- (* c (/ a b)) b)
(/ a b)
(* c (/ a b))
(/ (- 0 (+ (* (* c c) (/ a (* b b))) c)) b)
(- 0 (+ (* (* c c) (/ a (* b b))) c))
(+ (* (* c c) (/ a (* b b))) c)
(/ a (* b b))
(* c (+ (* a -4) (/ (* b b) c)))
(/ (- (neg b) (sqrt (* c (+ (* a -4) (/ (* b b) c))))) (* 2 a))
(- (neg b) (sqrt (* c (+ (* a -4) (/ (* b b) c)))))
(sqrt (* c (+ (* a -4) (/ (* b b) c))))
(* (/ -1/2 a) (+ b (sqrt (+ (* b b) (* c (* a -4))))))
(* b b)
(/ (* b b) c)
Outputs
(exp.f64 (*.f64 (log.f64 (*.f64 a #s(literal -2 binary64))) #s(literal -1 binary64)))
(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 1/2 binary64) (-.f64 #s(literal 0 binary64) a))
(/.f64 #s(literal 1/2 binary64) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) a))))
(/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal -2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 a #s(literal -2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 a #s(literal -2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 a #s(literal -2 binary64)) #s(literal 1 binary64))))
(pow.f64 (*.f64 a #s(literal -2 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 a #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) a))
(*.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 binary64) (/.f64 #s(literal 1/2 binary64) a))
(*.f64 (/.f64 #s(literal -1 binary64) a) #s(literal 1/2 binary64))
(+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))
(+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b)
(-.f64 (/.f64 (*.f64 b b) (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) (/.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))))
(-.f64 (/.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b)) (/.f64 (*.f64 b b) (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b)))
(fma.f64 (sqrt.f64 c) (sqrt.f64 (fma.f64 a #s(literal -4 binary64) (/.f64 (*.f64 b b) c))) b)
(fma.f64 (sqrt.f64 (fma.f64 a #s(literal -4 binary64) (/.f64 (*.f64 b b) c))) (sqrt.f64 c) b)
(fma.f64 (sqrt.f64 (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 #s(literal -64 binary64) (*.f64 a (*.f64 a a))) (*.f64 c (*.f64 c c))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (-.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (*.f64 b b)) (*.f64 b (*.f64 b (*.f64 b b))))) #s(literal 1/2 binary64)) b)
(fma.f64 (sqrt.f64 (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 #s(literal -64 binary64) (*.f64 a (*.f64 a a))) (*.f64 c (*.f64 c c))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (-.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (*.f64 b b)) (*.f64 b (*.f64 b (*.f64 b b)))))) b)
(fma.f64 (sqrt.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 c c) (*.f64 #s(literal 16 binary64) (*.f64 a a))))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) #s(literal 1/2 binary64)) b)
(fma.f64 (sqrt.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 c c) (*.f64 #s(literal 16 binary64) (*.f64 a a))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) b)
(fma.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) b)
(fma.f64 (pow.f64 (sqrt.f64 c) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (*.f64 (fma.f64 a #s(literal -4 binary64) (/.f64 (*.f64 b b) c)) (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))) #s(literal 1/2 binary64)) b)
(fma.f64 (pow.f64 (sqrt.f64 (*.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) c)) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 a #s(literal -4 binary64) (/.f64 (*.f64 b b) c))) #s(literal 1/2 binary64)) b)
(fma.f64 (sqrt.f64 (sqrt.f64 c)) (sqrt.f64 (sqrt.f64 (*.f64 (fma.f64 a #s(literal -4 binary64) (/.f64 (*.f64 b b) c)) (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) b)
(fma.f64 (sqrt.f64 (sqrt.f64 (*.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) c))) (sqrt.f64 (sqrt.f64 (fma.f64 a #s(literal -4 binary64) (/.f64 (*.f64 b b) c)))) b)
(fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))) b)
(/.f64 (fma.f64 b (*.f64 b b) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b) (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))))
(/.f64 (fma.f64 b (*.f64 b b) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))) (+.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) (-.f64 (*.f64 b b) (*.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b) (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))) (fma.f64 b (*.f64 b b) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))) (-.f64 (*.f64 b b) (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b) (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))) (fma.f64 b (*.f64 b b) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))) (-.f64 (*.f64 b b) (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))))
(/.f64 (-.f64 (*.f64 b b) (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))))
(/.f64 (neg.f64 (fma.f64 b (*.f64 b b) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) (neg.f64 (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b) (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))))
(/.f64 (neg.f64 (fma.f64 b (*.f64 b b) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) (neg.f64 (+.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) (-.f64 (*.f64 b b) (*.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 b b) (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))) (neg.f64 (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))))
(/.f64 (-.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b))
(/.f64 (-.f64 (*.f64 (*.f64 b b) (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))) (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))) (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 b b) (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) (neg.f64 (neg.f64 (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 b (*.f64 b b) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))))) (neg.f64 (neg.f64 (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b) (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))))))
(/.f64 (neg.f64 (-.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) (*.f64 b b))) (neg.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b)))
(pow.f64 (/.f64 (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b) (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))) (fma.f64 b (*.f64 b b) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))) (-.f64 (*.f64 b b) (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))) #s(literal -1 binary64))
(*.f64 (fma.f64 b (*.f64 b b) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b) (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))))
(*.f64 (-.f64 (*.f64 b b) (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))))
(fabs.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))
(sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (-.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (*.f64 b b)) (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 #s(literal -64 binary64) (*.f64 a (*.f64 a a))) (*.f64 c (*.f64 c c)))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 c c) (*.f64 #s(literal 16 binary64) (*.f64 a a)))))))
(/.f64 (sqrt.f64 (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 #s(literal -64 binary64) (*.f64 a (*.f64 a a))) (*.f64 c (*.f64 c c))))) (sqrt.f64 (fma.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (-.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (*.f64 b b)) (*.f64 b (*.f64 b (*.f64 b b))))))
(/.f64 (sqrt.f64 (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 #s(literal -64 binary64) (*.f64 a (*.f64 a a))) (*.f64 c (*.f64 c c))))) (sqrt.f64 (fma.f64 (*.f64 c c) (*.f64 #s(literal 16 binary64) (*.f64 a a)) (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))))
(/.f64 (sqrt.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 c c) (*.f64 #s(literal 16 binary64) (*.f64 a a))))) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))
(/.f64 (sqrt.f64 (-.f64 (*.f64 (*.f64 c c) (*.f64 #s(literal 16 binary64) (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b b))))) (sqrt.f64 (-.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (*.f64 b b))))
(/.f64 (sqrt.f64 (*.f64 c (fma.f64 (*.f64 b (*.f64 b b)) (/.f64 (*.f64 b (*.f64 b b)) (*.f64 c (*.f64 c c))) (*.f64 #s(literal -64 binary64) (*.f64 a (*.f64 a a)))))) (sqrt.f64 (fma.f64 (/.f64 (*.f64 b b) c) (-.f64 (/.f64 (*.f64 b b) c) (*.f64 a #s(literal -4 binary64))) (*.f64 #s(literal 16 binary64) (*.f64 a a)))))
(/.f64 (sqrt.f64 (*.f64 c (-.f64 (*.f64 #s(literal 16 binary64) (*.f64 a a)) (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 c c))))) (sqrt.f64 (-.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 (*.f64 b b) c))))
(/.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 b (*.f64 b b)) (/.f64 (*.f64 b (*.f64 b b)) (*.f64 c (*.f64 c c))) (*.f64 #s(literal -64 binary64) (*.f64 a (*.f64 a a)))) c)) (sqrt.f64 (fma.f64 (/.f64 (*.f64 b b) c) (-.f64 (/.f64 (*.f64 b b) c) (*.f64 a #s(literal -4 binary64))) (*.f64 #s(literal 16 binary64) (*.f64 a a)))))
(/.f64 (sqrt.f64 (*.f64 (-.f64 (*.f64 #s(literal 16 binary64) (*.f64 a a)) (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 c c))) c)) (sqrt.f64 (-.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 (*.f64 b b) c))))
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 #s(literal -64 binary64) (*.f64 a (*.f64 a a))) (*.f64 c (*.f64 c c)))))) (sqrt.f64 (neg.f64 (fma.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (-.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (*.f64 b b)) (*.f64 b (*.f64 b (*.f64 b b)))))))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 c c) (*.f64 #s(literal 16 binary64) (*.f64 a a)))))) (sqrt.f64 (neg.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 #s(literal -64 binary64) (*.f64 a (*.f64 a a))) (*.f64 c (*.f64 c c)))))) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (-.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (*.f64 b b)) (*.f64 b (*.f64 b (*.f64 b b)))))))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 c c) (*.f64 #s(literal 16 binary64) (*.f64 a a)))))) (neg.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))
(pow.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) #s(literal 1 binary64))
(pow.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(*.f64 (sqrt.f64 c) (sqrt.f64 (fma.f64 a #s(literal -4 binary64) (/.f64 (*.f64 b b) c))))
(*.f64 (sqrt.f64 (fma.f64 a #s(literal -4 binary64) (/.f64 (*.f64 b b) c))) (sqrt.f64 c))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 #s(literal -64 binary64) (*.f64 a (*.f64 a a))) (*.f64 c (*.f64 c c))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (-.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (*.f64 b b)) (*.f64 b (*.f64 b (*.f64 b b))))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 #s(literal -64 binary64) (*.f64 a (*.f64 a a))) (*.f64 c (*.f64 c c))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (-.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (*.f64 b b)) (*.f64 b (*.f64 b (*.f64 b b)))))))
(*.f64 (sqrt.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 c c) (*.f64 #s(literal 16 binary64) (*.f64 a a))))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 c c) (*.f64 #s(literal 16 binary64) (*.f64 a a))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))
(*.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (sqrt.f64 c) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (*.f64 (fma.f64 a #s(literal -4 binary64) (/.f64 (*.f64 b b) c)) (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))) #s(literal 1/2 binary64)))
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(/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 b b) (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) (neg.f64 (*.f64 a (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))))))
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 b (*.f64 b b) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))))) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) a) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b) (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))))))
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 b b) (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b b) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))))) (neg.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b) (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) (neg.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 b (*.f64 b b) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))) #s(literal -1/2 binary64))) (neg.f64 (*.f64 (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b) (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))) a)))
(/.f64 (neg.f64 (*.f64 (fma.f64 b (*.f64 b b) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))) #s(literal 1/2 binary64))) (neg.f64 (*.f64 (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b) (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))) (-.f64 #s(literal 0 binary64) a))))
(/.f64 (neg.f64 (*.f64 (fma.f64 b (*.f64 b b) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b) (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))) (*.f64 a #s(literal -2 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 b b) (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) #s(literal -1/2 binary64))) (neg.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))) a)))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 b b) (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) #s(literal 1/2 binary64))) (neg.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))) (-.f64 #s(literal 0 binary64) a))))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))))) (neg.f64 (-.f64 #s(literal 0 binary64) a)))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a))) (*.f64 (/.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (*.f64 a #s(literal -2 binary64))) (*.f64 (/.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (*.f64 a #s(literal -2 binary64))) (/.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (*.f64 a #s(literal -2 binary64))))))) (neg.f64 (fma.f64 (/.f64 b (*.f64 a #s(literal -2 binary64))) (/.f64 b (*.f64 a #s(literal -2 binary64))) (-.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (*.f64 a #s(literal -2 binary64))) (/.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (*.f64 a #s(literal -2 binary64)))) (*.f64 (/.f64 b (*.f64 a #s(literal -2 binary64))) (/.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (*.f64 a #s(literal -2 binary64))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (/.f64 b (*.f64 a #s(literal 2 binary64))) (/.f64 b (*.f64 a #s(literal 2 binary64)))) (*.f64 (/.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (*.f64 a #s(literal -2 binary64))) (/.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (*.f64 a #s(literal -2 binary64)))))) (neg.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))) (*.f64 a #s(literal -2 binary64)))))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (fma.f64 b (*.f64 b b) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))))) (neg.f64 (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b) (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 (*.f64 b b) (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) (neg.f64 (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))))
(/.f64 (neg.f64 (*.f64 (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))) #s(literal 1/2 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) a)))
(/.f64 (neg.f64 (*.f64 (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))) #s(literal 1 binary64))) (neg.f64 (*.f64 a #s(literal -2 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))))) (neg.f64 (-.f64 #s(literal 0 binary64) a)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))))) (neg.f64 (*.f64 a #s(literal -2 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 b (*.f64 b b) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))) (/.f64 #s(literal -1/2 binary64) a))) (neg.f64 (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b) (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 b b) (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) a))) (neg.f64 (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))))
(pow.f64 (/.f64 a (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))))) #s(literal -1 binary64))
(*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))))
(*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))) a))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))))
(*.f64 (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))) (/.f64 #s(literal -1/2 binary64) a))
(*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) (/.f64 #s(literal 1 binary64) a))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 b)))
(exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 0 binary64) b)) #s(literal 2 binary64)))
(neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)))
(/.f64 c (/.f64 c (*.f64 b b)))
(/.f64 (-.f64 #s(literal 0 binary64) c) (neg.f64 (/.f64 c (*.f64 b b))))
(/.f64 (*.f64 c (*.f64 b b)) c)
(/.f64 (*.f64 (*.f64 b b) c) c)
(/.f64 (*.f64 c #s(literal 1 binary64)) (/.f64 c (*.f64 b b)))
(/.f64 (*.f64 c (-.f64 #s(literal 0 binary64) (*.f64 b b))) (-.f64 #s(literal 0 binary64) c))
(/.f64 (*.f64 #s(literal 1 binary64) c) (/.f64 c (*.f64 b b)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) c) (-.f64 #s(literal 0 binary64) c))
(/.f64 (neg.f64 (*.f64 c #s(literal 1 binary64))) (neg.f64 (/.f64 c (*.f64 b b))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) c)) (neg.f64 (/.f64 c (*.f64 b b))))
(/.f64 (neg.f64 (*.f64 c (*.f64 b b))) (-.f64 #s(literal 0 binary64) c))
(/.f64 (neg.f64 (*.f64 (*.f64 b b) c)) (-.f64 #s(literal 0 binary64) c))
(/.f64 (neg.f64 (*.f64 c (-.f64 #s(literal 0 binary64) (*.f64 b b)))) (neg.f64 (-.f64 #s(literal 0 binary64) c)))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) c)) (neg.f64 (-.f64 #s(literal 0 binary64) c)))
(pow.f64 b #s(literal 2 binary64))
(pow.f64 (*.f64 b b) #s(literal 1 binary64))
(pow.f64 (-.f64 #s(literal 0 binary64) b) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 b)) #s(literal 2 binary64))
(*.f64 b b)
(*.f64 b (*.f64 (/.f64 b c) c))
(*.f64 (*.f64 b b) #s(literal 1 binary64))
(*.f64 c (/.f64 (*.f64 b b) c))
(*.f64 (/.f64 (*.f64 b b) c) c)
(*.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 #s(literal 0 binary64) b))
(*.f64 #s(literal 1 binary64) (*.f64 b b))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b b)))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) #s(literal -1 binary64)) b)
(*.f64 (*.f64 c b) (/.f64 b c))
(*.f64 (*.f64 c (*.f64 b b)) (/.f64 #s(literal 1 binary64) c))
(*.f64 (exp.f64 (log.f64 b)) (exp.f64 (log.f64 b)))
(exp.f64 (*.f64 (log.f64 (/.f64 c (*.f64 b b))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) c)) (/.f64 (*.f64 b b) (-.f64 #s(literal 0 binary64) c)))
(neg.f64 (/.f64 (*.f64 b b) (-.f64 #s(literal 0 binary64) c)))
(/.f64 (*.f64 b b) c)
(/.f64 (*.f64 b b) (neg.f64 (-.f64 #s(literal 0 binary64) c)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (-.f64 #s(literal 0 binary64) c))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) c))))
(/.f64 #s(literal 1 binary64) (/.f64 c (*.f64 b b)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 c (*.f64 b b)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 c (*.f64 b b)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 c (*.f64 b b))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 c (*.f64 b b)) #s(literal 1 binary64))))
(pow.f64 (/.f64 c (*.f64 b b)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 c (*.f64 b b)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 b (/.f64 b c))
(*.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) c))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) c)))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) c))
(*.f64 (/.f64 #s(literal 1 binary64) c) (*.f64 b b))
(*.f64 (/.f64 #s(literal 1 binary64) c) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) #s(literal -1 binary64)))
(*.f64 (/.f64 b c) b)

simplify544.0ms (4.6%)

Memory
5.6MiB live, 1 019.5MiB allocated
Algorithm
1×egg-herbie
Rules
9 930×accelerator-lowering-fma.f32
9 930×accelerator-lowering-fma.f64
8 244×*-lowering-*.f32
8 244×*-lowering-*.f64
3 742×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07698989
124948772
083358398
Stop Event
1×iter limit
1×node limit
Counts
648 → 648
Calls
Call 1
Inputs
(/ -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))))))))
(* -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))))
(* -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)
(/ 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 (/ b a))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
(/ c b)
(* c (+ (* -1 (/ b (* a c))) (/ 1 b)))
(* c (+ (* -1 (/ b (* a c))) (/ 1 b)))
(* c (+ (* -1 (/ b (* a c))) (/ 1 b)))
(/ c b)
(* -1 (* c (- (/ b (* a c)) (/ 1 b))))
(* -1 (* c (- (/ b (* a c)) (/ 1 b))))
(* -1 (* c (- (/ b (* a c)) (/ 1 b))))
(* -1 (/ b a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ c b)
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
(/ c b)
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
(/ c b)
(/ (+ c (* -1 (/ (pow b 2) a))) b)
(/ (+ c (* -1 (/ (pow b 2) a))) b)
(/ (+ c (* -1 (/ (pow b 2) a))) b)
(* -1 (/ b a))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 b)
(- (/ (* a c) b) b)
(- (/ (* a c) b) b)
(- (/ (* a c) b) b)
(/ (* a c) b)
(* c (+ (* -1 (/ b c)) (/ a b)))
(* c (+ (* -1 (/ b c)) (/ a b)))
(* c (+ (* -1 (/ b c)) (/ a b)))
(/ (* a c) b)
(* -1 (* c (+ (* -1 (/ a b)) (/ b c))))
(* -1 (* c (+ (* -1 (/ a b)) (/ b c))))
(* -1 (* c (+ (* -1 (/ a b)) (/ b c))))
(* -1 b)
(- (/ (* a c) b) b)
(- (/ (* a c) b) b)
(- (/ (* a c) b) b)
(/ (* a c) b)
(* a (+ (* -1 (/ b a)) (/ c b)))
(* a (+ (* -1 (/ b a)) (/ c b)))
(* a (+ (* -1 (/ b a)) (/ c b)))
(/ (* a c) b)
(* -1 (* a (+ (* -1 (/ c b)) (/ b a))))
(* -1 (* a (+ (* -1 (/ c b)) (/ b a))))
(* -1 (* a (+ (* -1 (/ c b)) (/ b a))))
(/ (* a c) b)
(/ (+ (* -1 (pow b 2)) (* a c)) b)
(/ (+ (* -1 (pow b 2)) (* a c)) b)
(/ (+ (* -1 (pow b 2)) (* a c)) b)
(* -1 b)
(* b (- (/ (* a c) (pow b 2)) 1))
(* b (- (/ (* a c) (pow b 2)) 1))
(* b (- (/ (* a c) (pow b 2)) 1))
(* -1 b)
(* -1 (* b (+ 1 (* -1 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (* -1 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (* -1 (/ (* a c) (pow b 2))))))
(/ a 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 c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* -1 (/ (* a (pow c 2)) (pow b 3)))
(* (pow c 2) (- (* -1 (/ a (pow b 3))) (/ 1 (* b c))))
(* (pow c 2) (- (* -1 (/ a (pow b 3))) (/ 1 (* b c))))
(* (pow c 2) (- (* -1 (/ a (pow b 3))) (/ 1 (* b c))))
(* -1 (/ (* a (pow c 2)) (pow b 3)))
(* (pow c 2) (- (* -1 (/ a (pow b 3))) (/ 1 (* b c))))
(* (pow c 2) (- (* -1 (/ a (pow b 3))) (/ 1 (* b c))))
(* (pow c 2) (- (* -1 (/ a (pow b 3))) (/ 1 (* b c))))
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(* -1 (/ (* a (pow c 2)) (pow b 3)))
(* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3)))))
(* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3)))))
(* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3)))))
(* -1 (/ (* a (pow c 2)) (pow b 3)))
(* -1 (* a (+ (/ c (* a b)) (/ (pow c 2) (pow b 3)))))
(* -1 (* a (+ (/ c (* a b)) (/ (pow c 2) (pow b 3)))))
(* -1 (* a (+ (/ c (* a b)) (/ (pow c 2) (pow b 3)))))
(* -1 (/ (* a (pow c 2)) (pow b 3)))
(/ (+ (* -1 (* a (pow c 2))) (* -1 (* (pow b 2) c))) (pow b 3))
(/ (+ (* -1 (* a (pow c 2))) (* -1 (* (pow b 2) c))) (pow b 3))
(/ (+ (* -1 (* a (pow c 2))) (* -1 (* (pow b 2) c))) (pow b 3))
(* -1 (/ c b))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(* -1 (/ c b))
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))
(* -1 c)
(* c (- (* -1 (/ (* a c) (pow b 2))) 1))
(* c (- (* -1 (/ (* a c) (pow b 2))) 1))
(* c (- (* -1 (/ (* a c) (pow b 2))) 1))
(* -1 (/ (* a (pow c 2)) (pow b 2)))
(* -1 (* (pow c 2) (+ (/ 1 c) (/ a (pow b 2)))))
(* -1 (* (pow c 2) (+ (/ 1 c) (/ a (pow b 2)))))
(* -1 (* (pow c 2) (+ (/ 1 c) (/ a (pow b 2)))))
(* -1 (/ (* a (pow c 2)) (pow b 2)))
(* -1 (* (pow c 2) (+ (/ 1 c) (/ a (pow b 2)))))
(* -1 (* (pow c 2) (+ (/ 1 c) (/ a (pow b 2)))))
(* -1 (* (pow c 2) (+ (/ 1 c) (/ a (pow b 2)))))
(* -1 c)
(- (* -1 (/ (* a (pow c 2)) (pow b 2))) c)
(- (* -1 (/ (* a (pow c 2)) (pow b 2))) c)
(- (* -1 (/ (* a (pow c 2)) (pow b 2))) c)
(* -1 (/ (* a (pow c 2)) (pow b 2)))
(* a (- (* -1 (/ c a)) (/ (pow c 2) (pow b 2))))
(* a (- (* -1 (/ c a)) (/ (pow c 2) (pow b 2))))
(* a (- (* -1 (/ c a)) (/ (pow c 2) (pow b 2))))
(* -1 (/ (* a (pow c 2)) (pow b 2)))
(* -1 (* a (- (/ c a) (* -1 (/ (pow c 2) (pow b 2))))))
(* -1 (* a (- (/ c a) (* -1 (/ (pow c 2) (pow b 2))))))
(* -1 (* a (- (/ c a) (* -1 (/ (pow c 2) (pow b 2))))))
(* -1 (/ (* a (pow c 2)) (pow b 2)))
(/ (- (* -1 (* (pow b 2) c)) (* a (pow c 2))) (pow b 2))
(/ (- (* -1 (* (pow b 2) c)) (* a (pow c 2))) (pow b 2))
(/ (- (* -1 (* (pow b 2) c)) (* a (pow c 2))) (pow b 2))
(* -1 c)
(- (* -1 (/ (* a (pow c 2)) (pow b 2))) c)
(- (* -1 (/ (* a (pow c 2)) (pow b 2))) c)
(- (* -1 (/ (* a (pow c 2)) (pow b 2))) c)
(* -1 c)
(- (* -1 (/ (* a (pow c 2)) (pow b 2))) c)
(- (* -1 (/ (* a (pow c 2)) (pow b 2))) c)
(- (* -1 (/ (* a (pow c 2)) (pow b 2))) c)
c
(* c (+ 1 (/ (* a c) (pow b 2))))
(* c (+ 1 (/ (* a c) (pow b 2))))
(* c (+ 1 (/ (* a c) (pow b 2))))
(/ (* a (pow c 2)) (pow b 2))
(* (pow c 2) (+ (/ 1 c) (/ a (pow b 2))))
(* (pow c 2) (+ (/ 1 c) (/ a (pow b 2))))
(* (pow c 2) (+ (/ 1 c) (/ a (pow b 2))))
(/ (* a (pow c 2)) (pow b 2))
(* (pow c 2) (+ (/ 1 c) (/ a (pow b 2))))
(* (pow c 2) (+ (/ 1 c) (/ a (pow b 2))))
(* (pow c 2) (+ (/ 1 c) (/ a (pow b 2))))
c
(+ c (/ (* a (pow c 2)) (pow b 2)))
(+ c (/ (* a (pow c 2)) (pow b 2)))
(+ c (/ (* a (pow c 2)) (pow b 2)))
(/ (* a (pow c 2)) (pow b 2))
(* a (+ (/ c a) (/ (pow c 2) (pow b 2))))
(* a (+ (/ c a) (/ (pow c 2) (pow b 2))))
(* a (+ (/ c a) (/ (pow c 2) (pow b 2))))
(/ (* a (pow c 2)) (pow b 2))
(* -1 (* a (+ (* -1 (/ c a)) (* -1 (/ (pow c 2) (pow b 2))))))
(* -1 (* a (+ (* -1 (/ c a)) (* -1 (/ (pow c 2) (pow b 2))))))
(* -1 (* a (+ (* -1 (/ c a)) (* -1 (/ (pow c 2) (pow b 2))))))
(/ (* a (pow c 2)) (pow b 2))
(/ (+ (* a (pow c 2)) (* (pow b 2) c)) (pow b 2))
(/ (+ (* a (pow c 2)) (* (pow b 2) c)) (pow b 2))
(/ (+ (* a (pow c 2)) (* (pow b 2) c)) (pow b 2))
c
(+ c (/ (* a (pow c 2)) (pow b 2)))
(+ c (/ (* a (pow c 2)) (pow b 2)))
(+ c (/ (* a (pow c 2)) (pow b 2)))
c
(+ c (/ (* a (pow c 2)) (pow b 2)))
(+ c (/ (* a (pow c 2)) (pow b 2)))
(+ c (/ (* a (pow c 2)) (pow b 2)))
(/ a (pow b 2))
(/ a (pow b 2))
(/ a (pow b 2))
(/ a (pow b 2))
(/ a (pow b 2))
(/ a (pow b 2))
(/ a (pow b 2))
(/ a (pow b 2))
(/ a (pow b 2))
(/ a (pow b 2))
(/ a (pow b 2))
(/ a (pow b 2))
(/ a (pow b 2))
(/ a (pow b 2))
(/ a (pow b 2))
(/ a (pow b 2))
(/ a (pow b 2))
(/ a (pow b 2))
(/ a (pow b 2))
(/ a (pow b 2))
(/ a (pow b 2))
(/ a (pow b 2))
(/ a (pow b 2))
(/ a (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))))
(* -4 (* a c))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(pow b 2)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(pow b 2)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* -1/2 (* (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))))))))
(* 1/2 (* (sqrt (/ c a)) (* (sqrt -4) (pow (sqrt -1) 2))))
(* -1 (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* (sqrt -4) (pow (sqrt -1) 2)))) (* 1/2 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (pow (sqrt -1) 2)) (sqrt -4))))) c)) (* -1/2 (* (sqrt (/ 1 (* a c))) (* (sqrt -4) (pow (sqrt -1) 2)))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (pow (sqrt -1) 2)) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (pow (sqrt -1) 2)) (sqrt -4))))) c)) (* -1/2 (/ b a))) c)) (* -1/2 (* (sqrt (/ 1 (* a c))) (* (sqrt -4) (pow (sqrt -1) 2)))))))
(* -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 (* (sqrt (* a c)) (sqrt -4)))
(- (* -1 b) (* (sqrt (* a c)) (sqrt -4)))
(- (* b (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(- (* b (- (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(* -2 b)
(* b (- (* 2 (/ (* a c) (pow b 2))) 2))
(* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -2 (/ (* a c) b))
(* -1 (/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) b))
(* -1 (/ (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))
(* -1 (/ (- (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b))
(* -2 b)
(- (* 2 (/ (* a c) b)) (* 2 b))
(- (* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) (* 2 b))
(- (* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) (* 2 b))
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(* 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)))))
(* (sqrt (* a c)) (* (sqrt -4) (pow (sqrt -1) 2)))
(* -1 (* c (- (/ b c) (* (sqrt (/ a c)) (* (sqrt -4) (pow (sqrt -1) 2))))))
(* -1 (* c (- (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (pow (sqrt -1) 2)) (sqrt -4)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -4) (pow (sqrt -1) 2))))))
(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (pow (sqrt -1) 2)) (pow (sqrt -4) 3)))) (* -1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (pow (sqrt -1) 2)) (sqrt -4))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -4) (pow (sqrt -1) 2))))))
(* -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))))))
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))))))
(* -1 (* (sqrt (* a c)) (* (sqrt -4) (pow (sqrt -1) 2))))
(* -1 (* c (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (pow (sqrt -1) 2)) (sqrt -4)))) (* (sqrt (/ a c)) (* (sqrt -4) (pow (sqrt -1) 2))))))
(* -1 (* c (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (pow (sqrt -1) 2)) (sqrt -4)))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (pow (sqrt -1) 2)) (pow (sqrt -4) 3)))) (* (sqrt (/ a c)) (* (sqrt -4) (pow (sqrt -1) 2)))))))
(* -1 (* c (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (pow (sqrt -1) 2)) (sqrt -4)))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (pow (sqrt -1) 2)) (pow (sqrt -4) 3)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (pow (sqrt -1) 2)) (pow (sqrt -4) 5)))) (* (sqrt (/ a c)) (* (sqrt -4) (pow (sqrt -1) 2))))))))
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))))))))
(* (sqrt (* a c)) (sqrt -4))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))
b
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 b)
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -1 (/ b a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (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)))))
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(/ (pow b 2) c)
(/ (pow b 2) c)
(/ (pow b 2) c)
(/ (pow b 2) c)
(/ (pow b 2) c)
(/ (pow b 2) c)
(/ (pow b 2) c)
(/ (pow b 2) c)
(/ (pow b 2) c)
(/ (pow b 2) c)
(/ (pow b 2) c)
(/ (pow b 2) c)
(/ (pow b 2) c)
(/ (pow b 2) c)
(/ (pow b 2) c)
(/ (pow b 2) c)
(/ (pow b 2) c)
(/ (pow b 2) c)
(/ (pow b 2) c)
(/ (pow b 2) c)
(/ (pow b 2) c)
(/ (pow b 2) c)
(/ (pow b 2) c)
(/ (pow b 2) c)
Outputs
(/ -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 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))
(+ b (* (sqrt (* a c)) (sqrt -4)))
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) b)
(+ (* b (+ 1 (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4)))
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) (*.f64 b (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 (/.f64 b (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(+ (* b (+ 1 (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))) (* (sqrt (* a c)) (sqrt -4)))
(fma.f64 b (fma.f64 b (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.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) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -4 binary64))))) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))))
(* 2 b)
(*.f64 b #s(literal 2 binary64))
(* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))
(*.f64 b (fma.f64 (*.f64 a c) (/.f64 #s(literal -2 binary64) (*.f64 b b)) #s(literal 2 binary64)))
(* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(*.f64 b (fma.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) (*.f64 a (/.f64 c (*.f64 b b)))) #s(literal 2 binary64)))
(* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(*.f64 b (fma.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) (*.f64 a (/.f64 c (*.f64 b b)))) (fma.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))))
(* 2 (/ (* a c) b))
(*.f64 a (*.f64 #s(literal 2 binary64) (/.f64 c b)))
(* -1 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))
(/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 a c (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 b b)))) b)
(* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))
(/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 4 binary64)))) (*.f64 #s(literal -2 binary64) (fma.f64 a (*.f64 a (*.f64 c (/.f64 c (*.f64 b b)))) (*.f64 a c)))) (-.f64 #s(literal 0 binary64) b))
(* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b))
(/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 20 binary64))) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal -2 binary64) (fma.f64 a (*.f64 a (*.f64 c (/.f64 c (*.f64 b b)))) (*.f64 a c))))) (-.f64 #s(literal 0 binary64) b))
(* 2 b)
(*.f64 b #s(literal 2 binary64))
(+ (* -2 (/ (* a c) b)) (* 2 b))
(fma.f64 a (*.f64 #s(literal -2 binary64) (/.f64 c b)) (*.f64 b #s(literal 2 binary64)))
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(fma.f64 c (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (*.f64 a c) (*.f64 b (*.f64 b b))) (/.f64 a b))) (*.f64 b #s(literal 2 binary64)))
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(fma.f64 c (fma.f64 c (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 a c))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (*.f64 b (*.f64 b b)))) (*.f64 #s(literal -2 binary64) (/.f64 a b))) (*.f64 b #s(literal 2 binary64)))
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))
(* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))
(*.f64 c (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c)) (/.f64 b c)))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))
(*.f64 c (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c)) (/.f64 b c))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))))
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(/.f64 (*.f64 b b) c)
(/ (pow b 2) c)
(/.f64 (*.f64 b b) c)
(/ (pow b 2) c)
(/.f64 (*.f64 b b) c)
(/ (pow b 2) c)
(/.f64 (*.f64 b b) c)
(/ (pow b 2) c)
(/.f64 (*.f64 b b) c)
(/ (pow b 2) c)
(/.f64 (*.f64 b b) c)
(/ (pow b 2) c)
(/.f64 (*.f64 b b) c)
(/ (pow b 2) c)
(/.f64 (*.f64 b b) c)
(/ (pow b 2) c)
(/.f64 (*.f64 b b) c)
(/ (pow b 2) c)
(/.f64 (*.f64 b b) c)
(/ (pow b 2) c)
(/.f64 (*.f64 b b) c)
(/ (pow b 2) c)
(/.f64 (*.f64 b b) c)
(/ (pow b 2) c)
(/.f64 (*.f64 b b) c)
(/ (pow b 2) c)
(/.f64 (*.f64 b b) c)
(/ (pow b 2) c)
(/.f64 (*.f64 b b) c)
(/ (pow b 2) c)
(/.f64 (*.f64 b b) c)
(/ (pow b 2) c)
(/.f64 (*.f64 b b) c)
(/ (pow b 2) c)
(/.f64 (*.f64 b b) c)
(/ (pow b 2) c)
(/.f64 (*.f64 b b) c)
(/ (pow b 2) c)
(/.f64 (*.f64 b b) c)
(/ (pow b 2) c)
(/.f64 (*.f64 b b) c)
(/ (pow b 2) c)
(/.f64 (*.f64 b b) c)
(/ (pow b 2) c)
(/.f64 (*.f64 b b) c)
(/ (pow b 2) c)
(/.f64 (*.f64 b b) c)

eval392.0ms (3.3%)

Memory
3.4MiB live, 623.7MiB allocated
Compiler

Compiled 51 727 to 5 056 computations (90.2% saved)

prune430.0ms (3.7%)

Memory
-3.7MiB live, 835.7MiB allocated
Pruning

37 alts after pruning (36 fresh and 1 done)

PrunedKeptTotal
New2 045262 071
Fresh41014
Picked415
Done000
Total2 053372 090
Accuracy
95.0%
Counts
2 090 → 37
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.5%
(fma.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (/.f64 b (*.f64 a #s(literal -2 binary64))))
34.6%
(/.f64 (fma.f64 (*.f64 b #s(literal -1/2 binary64)) a (*.f64 a (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) #s(literal -1/2 binary64)))) (*.f64 a a))
24.6%
(/.f64 (fma.f64 b b (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))))
30.3%
(/.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b) (*.f64 #s(literal 2 binary64) a))
▶12.0%
(/.f64 (/.f64 (*.f64 a c) b) a)
2.5%
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
35.4%
(/.f64 (-.f64 (*.f64 (*.f64 b #s(literal -1/2 binary64)) (*.f64 a #s(literal 2 binary64))) (*.f64 a (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) (*.f64 a (*.f64 a #s(literal 2 binary64))))
32.8%
(/.f64 (-.f64 (*.f64 c (*.f64 #s(literal -1 binary64) (/.f64 a b))) b) a)
18.9%
(/.f64 (-.f64 (*.f64 c (exp.f64 (*.f64 (log.f64 (/.f64 b a)) #s(literal -1 binary64)))) b) a)
50.1%
(/.f64 (-.f64 (neg.f64 b) (/.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a))
▶54.7%
(/.f64 (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (*.f64 #s(literal 2 binary64) a))
29.2%
(/.f64 (-.f64 (neg.f64 b) (*.f64 (sqrt.f64 (fma.f64 a #s(literal -4 binary64) (/.f64 (*.f64 b b) c))) (sqrt.f64 c))) (*.f64 #s(literal 2 binary64) a))
34.6%
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))
30.3%
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c)) b)
36.0%
(/.f64 (-.f64 #s(literal 0 binary64) c) b)
36.2%
(/.f64 (neg.f64 (*.f64 c (fma.f64 a (/.f64 c (*.f64 b b)) #s(literal 1 binary64)))) b)
12.0%
(/.f64 c b)
▶2.5%
(/.f64 b a)
2.5%
(/.f64 #s(literal 1 binary64) (/.f64 a b))
34.1%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) a)))
34.1%
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))))
34.1%
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) a))
33.4%
(-.f64 (/.f64 c b) (/.f64 b a))
▶26.3%
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 a b)) (*.f64 (-.f64 #s(literal 0 binary64) a) #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 a b))))
17.9%
(-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 a b)) #s(literal -1 binary64))))
33.2%
(*.f64 (fma.f64 c (/.f64 a b) (-.f64 #s(literal 0 binary64) b)) (/.f64 #s(literal 1 binary64) a))
2.0%
(*.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (/.f64 a b))
2.5%
(*.f64 (/.f64 #s(literal 1 binary64) a) b)
29.2%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (fma.f64 (sqrt.f64 (fma.f64 a #s(literal -4 binary64) (/.f64 (*.f64 b b) c))) (sqrt.f64 c) b))
✓55.5%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
50.6%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 (fma.f64 a #s(literal -4 binary64) (/.f64 (*.f64 b b) c)) c))))
37.1%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 b (*.f64 b (fma.f64 #s(literal -4 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal 1 binary64)))))))
28.2%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 b b))))
▶34.5%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))))
33.2%
(*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a)))
33.3%
(*.f64 b (neg.f64 (/.f64 #s(literal 1 binary64) a)))
33.4%
(neg.f64 (/.f64 b a))
Compiler

Compiled 1 180 to 764 computations (35.3% saved)

simplify265.0ms (2.3%)

Memory
-11.3MiB live, 433.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 a b)) (*.f64 (-.f64 #s(literal 0 binary64) a) #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 a b))))
✓cost-diff512
(*.f64 (-.f64 #s(literal 0 binary64) a) #s(literal -1 binary64))
✓cost-diff1024
(*.f64 #s(literal 0 binary64) (/.f64 a b))
✓cost-diff1472
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 a b)) (*.f64 (-.f64 #s(literal 0 binary64) a) #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 a b)))
✓cost-diff-64
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))))
✓cost-diff0
(sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))
✓cost-diff0
(+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))))
✓cost-diff0
(/.f64 #s(literal -1/2 binary64) a)
✓cost-diff-64
(*.f64 a c)
✓cost-diff0
(/.f64 (*.f64 a c) b)
✓cost-diff1088
(/.f64 (/.f64 (*.f64 a c) b) a)
✓cost-diff0
(/.f64 b a)
✓cost-diff0
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
✓cost-diff192
(-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))))
✓cost-diff192
(/.f64 (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (*.f64 #s(literal 2 binary64) a))
Rules
4 338×accelerator-lowering-fma.f32
4 338×accelerator-lowering-fma.f64
3 218×*-lowering-*.f32
3 218×*-lowering-*.f64
1 330×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038212
197198
2259190
3971188
43456188
55471188
66488188
76854188
87113188
97147188
107616188
08080181
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (- (neg b) (/ 1 (sqrt (/ 1 (+ (* b b) (* c (* a -4))))))) (* 2 a))
(- (neg b) (/ 1 (sqrt (/ 1 (+ (* b b) (* c (* a -4)))))))
(neg b)
b
(/ 1 (sqrt (/ 1 (+ (* b b) (* c (* a -4))))))
1
(sqrt (/ 1 (+ (* b b) (* c (* a -4)))))
(/ 1 (+ (* b b) (* c (* a -4))))
(+ (* b b) (* c (* a -4)))
(* c (* a -4))
c
(* a -4)
a
-4
(* 2 a)
2
(/ b a)
b
a
(/ (/ (* a c) b) a)
(/ (* a c) b)
(* a c)
a
c
b
(* (/ -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))
(* c -4)
c
-4
(- 0 (/ (- (* 0 (/ a b)) (* (- 0 a) -1)) (* (- 0 a) (/ a b))))
0
(/ (- (* 0 (/ a b)) (* (- 0 a) -1)) (* (- 0 a) (/ a b)))
(- (* 0 (/ a b)) (* (- 0 a) -1))
(* 0 (/ a b))
(/ a b)
a
b
(* (- 0 a) -1)
(- 0 a)
-1
(* (- 0 a) (/ a b))
Outputs
(/ (- (neg b) (/ 1 (sqrt (/ 1 (+ (* b b) (* c (* a -4))))))) (* 2 a))
(/.f64 (fma.f64 b #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (fma.f64 c (fma.f64 a #s(literal -4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))))))) a)
(- (neg b) (/ 1 (sqrt (/ 1 (+ (* b b) (* c (* a -4)))))))
(-.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (fma.f64 c (fma.f64 a #s(literal -4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)))))) b)
(neg b)
(-.f64 #s(literal 0 binary64) b)
b
(/ 1 (sqrt (/ 1 (+ (* b b) (* c (* a -4))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (fma.f64 c (fma.f64 a #s(literal -4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))))))
1
#s(literal 1 binary64)
(sqrt (/ 1 (+ (* b b) (* c (* a -4)))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (fma.f64 c (fma.f64 a #s(literal -4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)))))
(/ 1 (+ (* b b) (* c (* a -4))))
(/.f64 #s(literal 1 binary64) (fma.f64 b b (fma.f64 c (fma.f64 a #s(literal -4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))))
(+ (* b b) (* c (* a -4)))
(fma.f64 b b (fma.f64 c (fma.f64 a #s(literal -4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)))
(* c (* a -4))
(fma.f64 c (fma.f64 a #s(literal -4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
c
(* a -4)
(fma.f64 a #s(literal -4 binary64) #s(literal 0 binary64))
a
-4
#s(literal -4 binary64)
(* 2 a)
(fma.f64 a #s(literal 2 binary64) #s(literal 0 binary64))
2
#s(literal 2 binary64)
(/ b a)
(/.f64 b a)
b
a
(/ (/ (* a c) b) a)
(/.f64 c b)
(/ (* a c) b)
(fma.f64 c (/.f64 a b) #s(literal 0 binary64))
(* a c)
(fma.f64 c a #s(literal 0 binary64))
a
c
b
(* (/ -1/2 a) (+ b (sqrt (* a (* c -4)))))
(fma.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 c (fma.f64 a #s(literal -4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)))) #s(literal 0 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 (fma.f64 c (fma.f64 a #s(literal -4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))))
b
(sqrt (* a (* c -4)))
(sqrt.f64 (fma.f64 c (fma.f64 a #s(literal -4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)))
(* a (* c -4))
(fma.f64 c (fma.f64 a #s(literal -4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* c -4)
(fma.f64 c #s(literal -4 binary64) #s(literal 0 binary64))
c
-4
#s(literal -4 binary64)
(- 0 (/ (- (* 0 (/ a b)) (* (- 0 a) -1)) (* (- 0 a) (/ a b))))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
0
#s(literal 0 binary64)
(/ (- (* 0 (/ a b)) (* (- 0 a) -1)) (* (- 0 a) (/ a b)))
(/.f64 b a)
(- (* 0 (/ a b)) (* (- 0 a) -1))
(-.f64 #s(literal 0 binary64) a)
(* 0 (/ a b))
#s(literal 0 binary64)
(/ a b)
(/.f64 a b)
a
b
(* (- 0 a) -1)
a
(- 0 a)
(-.f64 #s(literal 0 binary64) a)
-1
#s(literal -1 binary64)
(* (- 0 a) (/ a b))
(fma.f64 a (-.f64 #s(literal 0 binary64) (/.f64 a b)) #s(literal 0 binary64))

localize135.0ms (1.1%)

Memory
6.6MiB live, 279.7MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 (-.f64 #s(literal 0 binary64) a) #s(literal -1 binary64))
✓accuracy99.9%
(*.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 a b))
✓accuracy90.4%
(*.f64 #s(literal 0 binary64) (/.f64 a b))
✓accuracy84.8%
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 a b)) (*.f64 (-.f64 #s(literal 0 binary64) a) #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 a b)))
✓accuracy100.0%
(*.f64 a (*.f64 c #s(literal -4 binary64)))
✓accuracy100.0%
(+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))))
✓accuracy99.7%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))))
✓accuracy90.2%
(sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))
✓accuracy100.0%
(*.f64 a c)
✓accuracy96.8%
(/.f64 (*.f64 a c) b)
✓accuracy92.8%
(/.f64 (/.f64 (*.f64 a c) b) a)
✓accuracy100.0%
(/.f64 b a)
✓accuracy99.8%
(/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))
✓accuracy98.0%
(/.f64 (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (*.f64 #s(literal 2 binary64) a))
✓accuracy93.0%
(-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))))
✓accuracy84.8%
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))
Samples
34.0ms126×0valid
29.0ms98×0invalid
12.0ms18×3valid
8.0ms10×4valid
4.0ms4×5exit
Compiler

Compiled 242 to 40 computations (83.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 54.0ms
ival-mult: 17.0ms (31.7% of total)
ival-div: 17.0ms (31.7% of total)
ival-sub: 6.0ms (11.2% of total)
ival-neg: 4.0ms (7.5% of total)
ival-sqrt: 4.0ms (7.5% of total)
adjust: 3.0ms (5.6% of total)
ival-add: 3.0ms (5.6% of total)
exact: 1.0ms (1.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series37.0ms (0.3%)

Memory
3.1MiB live, 84.0MiB allocated
Counts
19 → 540
Calls
Call 1
Inputs
#<alt (/ (- (neg b) (/ 1 (sqrt (/ 1 (+ (* b b) (* c (* a -4))))))) (* 2 a))>
#<alt (- (neg b) (/ 1 (sqrt (/ 1 (+ (* b b) (* c (* a -4)))))))>
#<alt (/ 1 (sqrt (/ 1 (+ (* b b) (* c (* a -4))))))>
#<alt (sqrt (/ 1 (+ (* b b) (* c (* a -4)))))>
#<alt (/ b a)>
#<alt (/ (/ (* a c) b) a)>
#<alt (/ (* a c) b)>
#<alt (* a c)>
#<alt (/ -1/2 a)>
#<alt (+ b (sqrt (* a (* c -4))))>
#<alt (sqrt (* a (* c -4)))>
#<alt (* (/ -1/2 a) (+ b (sqrt (* a (* c -4)))))>
#<alt (/ (- (* 0 (/ a b)) (* (- 0 a) -1)) (* (- 0 a) (/ a b)))>
#<alt (* 0 (/ a b))>
#<alt (* (- 0 a) -1)>
#<alt (- 0 (/ (- (* 0 (/ a b)) (* (- 0 a) -1)) (* (- 0 a) (/ a b))))>
#<alt (/ 1 (+ (* b b) (* c (* a -4))))>
#<alt (* a (* c -4))>
#<alt (* (- 0 a) (/ a b))>
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)))))>
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#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* 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 (* -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 (/ 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 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt a>
#<alt a>
#<alt a>
#<alt a>
#<alt a>
#<alt a>
#<alt a>
#<alt a>
#<alt a>
#<alt a>
#<alt a>
#<alt 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 (/ -1/4 (* a c))>
#<alt (- (* -1/16 (/ (pow b 2) (* (pow a 2) (pow c 2)))) (* 1/4 (/ 1 (* a c))))>
#<alt (- (* (pow b 2) (- (* -1/64 (/ (pow b 2) (* (pow a 3) (pow c 3)))) (* 1/16 (/ 1 (* (pow a 2) (pow c 2)))))) (* 1/4 (/ 1 (* a c))))>
#<alt (- (* (pow b 2) (- (* (pow b 2) (- (* -1/256 (/ (pow b 2) (* (pow a 4) (pow c 4)))) (* 1/64 (/ 1 (* (pow a 3) (pow c 3)))))) (* 1/16 (/ 1 (* (pow a 2) (pow c 2)))))) (* 1/4 (/ 1 (* a c))))>
#<alt (/ 1 (pow b 2))>
#<alt (/ (+ 1 (* 4 (/ (* a c) (pow b 2)))) (pow b 2))>
#<alt (/ (- (+ 1 (* 16 (/ (* (pow a 2) (pow c 2)) (pow b 4)))) (* -4 (/ (* a c) (pow b 2)))) (pow b 2))>
#<alt (/ (- (+ 1 (* 64 (/ (* (pow a 3) (pow c 3)) (pow b 6)))) (+ (* -16 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -4 (/ (* a c) (pow b 2))))) (pow b 2))>
#<alt (/ 1 (pow b 2))>
#<alt (/ (+ 1 (* 4 (/ (* a c) (pow b 2)))) (pow b 2))>
#<alt (/ (- (+ 1 (* 16 (/ (* (pow a 2) (pow c 2)) (pow b 4)))) (* -4 (/ (* a c) (pow b 2)))) (pow b 2))>
#<alt (/ (- (+ 1 (* 64 (/ (* (pow a 3) (pow c 3)) (pow b 6)))) (+ (* -16 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -4 (/ (* a c) (pow b 2))))) (pow b 2))>
#<alt (/ 1 (pow b 2))>
#<alt (+ (* 4 (/ (* a c) (pow b 4))) (/ 1 (pow b 2)))>
#<alt (+ (* c (- (* 16 (/ (* (pow a 2) c) (pow b 6))) (* -4 (/ a (pow b 4))))) (/ 1 (pow b 2)))>
#<alt (+ (* c (- (* c (- (* 64 (/ (* (pow a 3) c) (pow b 8))) (* -16 (/ (pow a 2) (pow b 6))))) (* -4 (/ a (pow b 4))))) (/ 1 (pow b 2)))>
#<alt (/ -1/4 (* a c))>
#<alt (/ (- (* -1/16 (/ (pow b 2) (* (pow a 2) c))) (* 1/4 (/ 1 a))) c)>
#<alt (/ (- (* -1/64 (/ (pow b 4) (* (pow a 3) (pow c 2)))) (+ (* 1/16 (/ (pow b 2) (* (pow a 2) c))) (* 1/4 (/ 1 a)))) c)>
#<alt (/ (- (* -1/256 (/ (pow b 6) (* (pow a 4) (pow c 3)))) (+ (* 1/64 (/ (pow b 4) (* (pow a 3) (pow c 2)))) (+ (* 1/16 (/ (pow b 2) (* (pow a 2) c))) (* 1/4 (/ 1 a))))) c)>
#<alt (/ -1/4 (* a c))>
#<alt (* -1 (/ (+ (* 1/16 (/ (pow b 2) (* (pow a 2) c))) (* 1/4 (/ 1 a))) c))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1/64 (/ (pow b 4) (* (pow a 3) c))) (* 1/16 (/ (pow b 2) (pow a 2)))) c)) (* 1/4 (/ 1 a))) c))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/256 (/ (pow b 6) (* (pow a 4) c))) (* -1/64 (/ (pow b 4) (pow a 3)))) c)) (* 1/16 (/ (pow b 2) (pow a 2)))) c)) (* 1/4 (/ 1 a))) c))>
#<alt (/ 1 (pow b 2))>
#<alt (+ (* 4 (/ (* a c) (pow b 4))) (/ 1 (pow b 2)))>
#<alt (+ (* a (- (* 16 (/ (* a (pow c 2)) (pow b 6))) (* -4 (/ c (pow b 4))))) (/ 1 (pow b 2)))>
#<alt (+ (* a (- (* a (- (* 64 (/ (* a (pow c 3)) (pow b 8))) (* -16 (/ (pow c 2) (pow b 6))))) (* -4 (/ c (pow b 4))))) (/ 1 (pow b 2)))>
#<alt (/ -1/4 (* a c))>
#<alt (/ (- (* -1/16 (/ (pow b 2) (* a (pow c 2)))) (* 1/4 (/ 1 c))) a)>
#<alt (/ (- (* -1/64 (/ (pow b 4) (* (pow a 2) (pow c 3)))) (+ (* 1/16 (/ (pow b 2) (* a (pow c 2)))) (* 1/4 (/ 1 c)))) a)>
#<alt (/ (- (* -1/256 (/ (pow b 6) (* (pow a 3) (pow c 4)))) (+ (* 1/64 (/ (pow b 4) (* (pow a 2) (pow c 3)))) (+ (* 1/16 (/ (pow b 2) (* a (pow c 2)))) (* 1/4 (/ 1 c))))) a)>
#<alt (/ -1/4 (* a c))>
#<alt (* -1 (/ (+ (* 1/16 (/ (pow b 2) (* a (pow c 2)))) (* 1/4 (/ 1 c))) a))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1/64 (/ (pow b 4) (* a (pow c 3)))) (* 1/16 (/ (pow b 2) (pow c 2)))) a)) (* 1/4 (/ 1 c))) a))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/256 (/ (pow b 6) (* a (pow c 4)))) (* -1/64 (/ (pow b 4) (pow c 3)))) a)) (* 1/16 (/ (pow b 2) (pow c 2)))) a)) (* 1/4 (/ 1 c))) a))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -1 (/ (pow a 2) b))>
#<alt (* -1 (/ (pow a 2) b))>
#<alt (* -1 (/ (pow a 2) b))>
#<alt (* -1 (/ (pow a 2) b))>
#<alt (* -1 (/ (pow a 2) b))>
#<alt (* -1 (/ (pow a 2) b))>
#<alt (* -1 (/ (pow a 2) b))>
#<alt (* -1 (/ (pow a 2) b))>
#<alt (* -1 (/ (pow a 2) b))>
#<alt (* -1 (/ (pow a 2) b))>
#<alt (* -1 (/ (pow a 2) b))>
#<alt (* -1 (/ (pow a 2) b))>
#<alt (* -1 (/ (pow a 2) b))>
#<alt (* -1 (/ (pow a 2) b))>
#<alt (* -1 (/ (pow a 2) b))>
#<alt (* -1 (/ (pow a 2) b))>
#<alt (* -1 (/ (pow a 2) b))>
#<alt (* -1 (/ (pow a 2) b))>
#<alt (* -1 (/ (pow a 2) b))>
#<alt (* -1 (/ (pow a 2) b))>
#<alt (* -1 (/ (pow a 2) b))>
#<alt (* -1 (/ (pow a 2) b))>
#<alt (* -1 (/ (pow a 2) b))>
#<alt (* -1 (/ (pow a 2) b))>
Calls

135 calls:

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

rewrite407.0ms (3.5%)

Memory
34.3MiB live, 630.7MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 370×/-lowering-/.f32
4 370×/-lowering-/.f64
4 284×accelerator-lowering-fma.f32
4 284×accelerator-lowering-fma.f64
3 644×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038165
1233137
22189137
08403129
Stop Event
1×iter limit
1×node limit
Counts
19 → 1 041
Calls
Call 1
Inputs
(/ (- (neg b) (/ 1 (sqrt (/ 1 (+ (* b b) (* c (* a -4))))))) (* 2 a))
(- (neg b) (/ 1 (sqrt (/ 1 (+ (* b b) (* c (* a -4)))))))
(/ 1 (sqrt (/ 1 (+ (* b b) (* c (* a -4))))))
(sqrt (/ 1 (+ (* b b) (* c (* a -4)))))
(/ b a)
(/ (/ (* a c) b) a)
(/ (* a c) b)
(* a c)
(/ -1/2 a)
(+ b (sqrt (* a (* c -4))))
(sqrt (* a (* c -4)))
(* (/ -1/2 a) (+ b (sqrt (* a (* c -4)))))
(/ (- (* 0 (/ a b)) (* (- 0 a) -1)) (* (- 0 a) (/ a b)))
(* 0 (/ a b))
(* (- 0 a) -1)
(- 0 (/ (- (* 0 (/ a b)) (* (- 0 a) -1)) (* (- 0 a) (/ a b))))
(/ 1 (+ (* b b) (* c (* a -4))))
(* a (* c -4))
(* (- 0 a) (/ a b))
Outputs
(+.f64 (/.f64 (*.f64 b #s(literal -1/2 binary64)) a) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (*.f64 a #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))))) #s(literal -1 binary64)))
(-.f64 (/.f64 (*.f64 b #s(literal -1/2 binary64)) a) (/.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (*.f64 a #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 a #s(literal 2 binary64))) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))) (*.f64 a #s(literal -2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 a #s(literal 2 binary64))) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))) (*.f64 a #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 a #s(literal 2 binary64))) (/.f64 (-.f64 b (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 2 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 b (*.f64 b b)) (fma.f64 b b (fma.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 2 binary64))) (/.f64 (/.f64 (*.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))) (fma.f64 b b (fma.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 2 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 b b) (+.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 2 binary64))) (/.f64 (/.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) (+.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 2 binary64))))
(-.f64 (/.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a #s(literal 2 binary64)) (fma.f64 b b (fma.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))))) (/.f64 (*.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))) (*.f64 (*.f64 a #s(literal 2 binary64)) (fma.f64 b b (fma.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))))))
(-.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 2 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))))) (/.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) (*.f64 (*.f64 a #s(literal 2 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))))))
(-.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) (*.f64 a #s(literal 2 binary64))) (*.f64 (*.f64 a #s(literal 2 binary64)) (*.f64 a #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 a #s(literal 2 binary64)) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))) (*.f64 (*.f64 a #s(literal 2 binary64)) (*.f64 a #s(literal 2 binary64)))))
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(*.f64 (sqrt.f64 (*.f64 c c)) (sqrt.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) (*.f64 a #s(literal -4 binary64)))))
(*.f64 (sqrt.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 (*.f64 c c)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 c a) (*.f64 c a))) #s(literal 4 binary64))
(*.f64 (sqrt.f64 (*.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) c)) (sqrt.f64 (*.f64 a #s(literal -4 binary64))))
(*.f64 (sqrt.f64 (*.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 c))
(*.f64 (sqrt.f64 (*.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 c a))) (sqrt.f64 #s(literal -4 binary64)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 c #s(literal -4 binary64)))) (sqrt.f64 a))
(+.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 a a #s(literal 0 binary64)) b)))
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 a a #s(literal 0 binary64)) b))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 b a)) (/.f64 a (/.f64 b a)))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) a) (/.f64 b a)) (/.f64 a (/.f64 b a)))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (fma.f64 a a #s(literal 0 binary64))) (/.f64 b a)) (/.f64 a (/.f64 b a)))
(neg.f64 (*.f64 a (/.f64 a b)))
(/.f64 #s(literal 1 binary64) (/.f64 b (-.f64 #s(literal 0 binary64) (fma.f64 a a #s(literal 0 binary64)))))
(/.f64 a (neg.f64 (/.f64 b a)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 b (-.f64 #s(literal 0 binary64) (fma.f64 a a #s(literal 0 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 b a))
(/.f64 (*.f64 a (fma.f64 a a #s(literal 0 binary64))) (neg.f64 (*.f64 (/.f64 b a) (fma.f64 a a #s(literal 0 binary64)))))
(/.f64 (*.f64 a (fma.f64 a a #s(literal 0 binary64))) (neg.f64 (*.f64 (fma.f64 a a #s(literal 0 binary64)) (/.f64 b a))))
(/.f64 (fma.f64 a a #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) b))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a a #s(literal 0 binary64))) b)
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a a #s(literal 0 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) b)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (fma.f64 a a #s(literal 0 binary64)))) (*.f64 (/.f64 b a) (fma.f64 a a #s(literal 0 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (fma.f64 a a #s(literal 0 binary64)))) (*.f64 (fma.f64 a a #s(literal 0 binary64)) (/.f64 b a)))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 a a #s(literal 0 binary64)))) (*.f64 (/.f64 b a) a))
(/.f64 (*.f64 a (-.f64 #s(literal 0 binary64) (*.f64 a (fma.f64 a a #s(literal 0 binary64))))) (*.f64 b (fma.f64 a a #s(literal 0 binary64))))
(/.f64 (*.f64 a (-.f64 #s(literal 0 binary64) (fma.f64 a a #s(literal 0 binary64)))) (*.f64 b a))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 #s(literal 0 binary64) (*.f64 a (fma.f64 a a #s(literal 0 binary64))))) (*.f64 (-.f64 #s(literal 0 binary64) b) (fma.f64 a a #s(literal 0 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 #s(literal 0 binary64) (fma.f64 a a #s(literal 0 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) b) a))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (fma.f64 a a #s(literal 0 binary64)))) a) (*.f64 (fma.f64 a a #s(literal 0 binary64)) b))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (fma.f64 a a #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) a)) (*.f64 (fma.f64 a a #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) b)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a a #s(literal 0 binary64))) #s(literal 1 binary64)) (*.f64 a (/.f64 b a)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a a #s(literal 0 binary64))) a) (*.f64 b a))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a a #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) a)) (*.f64 a (-.f64 #s(literal 0 binary64) b)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a a #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) b))
(/.f64 (*.f64 (/.f64 a b) (-.f64 #s(literal 0 binary64) (*.f64 a (fma.f64 a a #s(literal 0 binary64))))) (fma.f64 a a #s(literal 0 binary64)))
(/.f64 (*.f64 (/.f64 a b) (-.f64 #s(literal 0 binary64) (fma.f64 a a #s(literal 0 binary64)))) a)
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (fma.f64 a a #s(literal 0 binary64)))) (/.f64 a b)) (fma.f64 a a #s(literal 0 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a a #s(literal 0 binary64))) (/.f64 a b)) a)
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 a a #s(literal 0 binary64))))) (neg.f64 (*.f64 (/.f64 b a) a)))
(/.f64 (neg.f64 (*.f64 a (-.f64 #s(literal 0 binary64) (*.f64 a (fma.f64 a a #s(literal 0 binary64)))))) (neg.f64 (*.f64 b (fma.f64 a a #s(literal 0 binary64)))))
(/.f64 (neg.f64 (*.f64 a (-.f64 #s(literal 0 binary64) (fma.f64 a a #s(literal 0 binary64))))) (neg.f64 (*.f64 b a)))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 #s(literal 0 binary64) (*.f64 a (fma.f64 a a #s(literal 0 binary64)))))) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) (fma.f64 a a #s(literal 0 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 #s(literal 0 binary64) (fma.f64 a a #s(literal 0 binary64))))) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) a)))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (fma.f64 a a #s(literal 0 binary64)))) a)) (neg.f64 (*.f64 (fma.f64 a a #s(literal 0 binary64)) b)))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (fma.f64 a a #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) a))) (neg.f64 (*.f64 (fma.f64 a a #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) b))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a a #s(literal 0 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 a (/.f64 b a))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a a #s(literal 0 binary64))) a)) (neg.f64 (*.f64 b a)))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a a #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) a))) (neg.f64 (*.f64 a (-.f64 #s(literal 0 binary64) b))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a a #s(literal 0 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) b)))
(/.f64 (neg.f64 (*.f64 (/.f64 a b) (-.f64 #s(literal 0 binary64) (*.f64 a (fma.f64 a a #s(literal 0 binary64)))))) (-.f64 #s(literal 0 binary64) (fma.f64 a a #s(literal 0 binary64))))
(/.f64 (neg.f64 (*.f64 (/.f64 a b) (-.f64 #s(literal 0 binary64) (fma.f64 a a #s(literal 0 binary64))))) (-.f64 #s(literal 0 binary64) a))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (fma.f64 a a #s(literal 0 binary64)))) (/.f64 a b))) (-.f64 #s(literal 0 binary64) (fma.f64 a a #s(literal 0 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a a #s(literal 0 binary64))) (/.f64 a b))) (-.f64 #s(literal 0 binary64) a))
(/.f64 (+.f64 #s(literal 0 binary64) (/.f64 (*.f64 (*.f64 a (fma.f64 a a #s(literal 0 binary64))) (*.f64 a (fma.f64 a a #s(literal 0 binary64)))) (*.f64 b (*.f64 b b)))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (*.f64 a (/.f64 a b)) (*.f64 a (/.f64 a b))) (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 a a #s(literal 0 binary64)) b))))))
(pow.f64 (/.f64 b (-.f64 #s(literal 0 binary64) (fma.f64 a a #s(literal 0 binary64)))) #s(literal -1 binary64))
(*.f64 a (*.f64 (/.f64 #s(literal 1 binary64) b) (-.f64 #s(literal 0 binary64) a)))
(*.f64 (/.f64 a b) (-.f64 #s(literal 0 binary64) a))
(*.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 a b))
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a a #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) b))

simplify470.0ms (4%)

Memory
3.4MiB live, 714.4MiB allocated
Algorithm
1×egg-herbie
Rules
9 634×accelerator-lowering-fma.f32
9 634×accelerator-lowering-fma.f64
9 170×*-lowering-*.f32
9 170×*-lowering-*.f64
4 004×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09047010
128836925
083416648
Stop Event
1×iter limit
1×node limit
Counts
540 → 540
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 (* (sqrt (* a c)) (sqrt -4)))
(- (* -1 b) (* (sqrt (* a c)) (sqrt -4)))
(- (* b (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(- (* b (- (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(* -2 b)
(* b (- (* 2 (/ (* a c) (pow b 2))) 2))
(* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -2 (/ (* a c) b))
(* -1 (/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) b))
(* -1 (/ (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))
(* -1 (/ (- (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b))
(* -2 b)
(- (* 2 (/ (* a c) b)) (* 2 b))
(- (* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) (* 2 b))
(- (* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) (* 2 b))
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(* 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))))))
(* -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))))))
(* (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))))
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(* -1 (/ (pow a 2) b))
(* -1 (/ (pow a 2) b))
(* -1 (/ (pow a 2) b))
(* -1 (/ (pow a 2) b))
(* -1 (/ (pow a 2) b))
(* -1 (/ (pow a 2) b))
(* -1 (/ (pow a 2) b))
(* -1 (/ (pow a 2) b))
(* -1 (/ (pow a 2) b))
(* -1 (/ (pow a 2) b))
(* -1 (/ (pow a 2) b))
(* -1 (/ (pow a 2) b))
(* -1 (/ (pow a 2) b))
(* -1 (/ (pow a 2) b))
(* -1 (/ (pow a 2) b))
(* -1 (/ (pow a 2) b))
(* -1 (/ (pow a 2) b))
(* -1 (/ (pow a 2) b))
(* -1 (/ (pow a 2) b))
(* -1 (/ (pow a 2) b))
(* -1 (/ (pow a 2) b))
(* -1 (/ (pow a 2) b))
(* -1 (/ (pow a 2) b))
(* -1 (/ (pow a 2) b))
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) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(fma.f64 b (fma.f64 (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 -1/4 binary64)) (/.f64 #s(literal -1/2 binary64) a)) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -1/2 binary64))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (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)))))
(fma.f64 b (fma.f64 b (fma.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 c (*.f64 c c))))) (/.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64))))) (*.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 -1/2 binary64) a)) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -1/2 binary64))))
(* -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)) (fma.f64 a (/.f64 (*.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 (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 4 binary64))) (/.f64 c (*.f64 b b))) (fma.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 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c) (-.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 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 c c) (*.f64 c (*.f64 a a))) (pow.f64 b #s(literal 4 binary64))) c)) (-.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 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64))) (*.f64 a (pow.f64 b #s(literal 6 binary64)))) (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 c c) (*.f64 c (*.f64 a a))) (pow.f64 b #s(literal 4 binary64))) c))) (-.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)))))
(fma.f64 c (fma.f64 a (/.f64 c (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) b)) (-.f64 #s(literal 0 binary64) (/.f64 b a)))
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))
(fma.f64 c (fma.f64 c (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 c (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))) (/.f64 a (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 1 binary64) b)) (-.f64 #s(literal 0 binary64) (/.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)) (fma.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 (fma.f64 #s(literal -1/2 binary64) (fma.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 #s(literal 1 binary64) (*.f64 c (*.f64 c (*.f64 c (*.f64 a (*.f64 a a))))))) (*.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 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (/.f64 b (*.f64 c a))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 c (*.f64 c (*.f64 a (*.f64 a a))))))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) #s(literal -1/4 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 5 binary64))))) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1/16 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 c a)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64)))) (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 (neg.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.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)) (/.f64 (*.f64 #s(literal -1/2 binary64) b) a)) c))) (neg.f64 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 #s(literal 0 binary64) (*.f64 c (neg.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) b) a) (/.f64 (fma.f64 #s(literal 1/128 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (pow.f64 a #s(literal 5 binary64))))) (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 c (*.f64 a (*.f64 a a)))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/8 binary64)))) c)) c)))))
(* -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 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))) (/.f64 c 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 (fma.f64 a (fma.f64 a (fma.f64 (*.f64 #s(literal 2 binary64) a) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b)))) (/.f64 c b)) (-.f64 #s(literal 0 binary64) 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) (fma.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))))))
(fma.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 -1/2 binary64) (fma.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)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))
(fma.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 b a)) (fma.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 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 c (*.f64 c c))))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64))))))))
(* (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)))
(fma.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 (fma.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 (fma.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 c (*.f64 c a))))) #s(literal -1/128 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/8 binary64)))) a)) a))
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))))
(- (* -1 b) (* (sqrt (* a c)) (sqrt -4)))
(neg.f64 (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a)) b))
(- (* b (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(-.f64 (*.f64 b (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 (/.f64 b (sqrt.f64 #s(literal -4 binary64))) #s(literal -1/2 binary64)) #s(literal -1 binary64))) (*.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)))
(fma.f64 b (fma.f64 b (fma.f64 (/.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 c (*.f64 c (*.f64 a (*.f64 a a))))))) #s(literal 1/8 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -4 binary64))))) #s(literal -1 binary64)) (-.f64 #s(literal 0 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 (fma.f64 a (*.f64 (/.f64 c (*.f64 b b)) #s(literal 2 binary64)) #s(literal -2 binary64)))
(* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(*.f64 b (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (pow.f64 b #s(literal 4 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 a (*.f64 (/.f64 c (*.f64 b b)) #s(literal -2 binary64)) #s(literal 2 binary64)))))
(* 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 (fma.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) (fma.f64 a (/.f64 c (*.f64 b b)) (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (pow.f64 b #s(literal 4 binary64)))))))
(* -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) (fma.f64 a (/.f64 (*.f64 c (*.f64 c a)) (*.f64 b b)) (*.f64 c a))) (-.f64 #s(literal 0 binary64) b))
(* -1 (/ (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))
(/.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) (fma.f64 c a (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b))))) (-.f64 #s(literal 0 binary64) 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 (fma.f64 #s(literal 1/2 binary64) (/.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 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 a (*.f64 a a))) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 4 binary64)))) (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (*.f64 c (*.f64 c a)) (*.f64 b b)) (*.f64 c a)))) (-.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))
(- (* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) (* 2 b))
(fma.f64 c (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 a a) (/.f64 c (*.f64 b (*.f64 b b))) (/.f64 a b))) (*.f64 b #s(literal -2 binary64)))
(- (* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) (* 2 b))
(fma.f64 c (fma.f64 c (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (/.f64 c (pow.f64 b #s(literal 5 binary64))) #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 a a) (*.f64 b (*.f64 b b))))) (*.f64 #s(literal 2 binary64) (/.f64 a b))) (*.f64 b #s(literal -2 binary64)))
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))))
(* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(*.f64 c (-.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c)) (/.f64 b c))))
(* c (- (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))
(*.f64 c (-.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 c (*.f64 c a))))) #s(literal -1/2 binary64))) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c)) (/.f64 b c))))
(* c (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))))
(*.f64 c (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64))))) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1/8 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 c (*.f64 c a))))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/2 binary64)) (fma.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 (- (/ b c) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
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(fma.f64 a (fma.f64 a (fma.f64 a (*.f64 (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 8 binary64))) #s(literal 64 binary64)) (*.f64 #s(literal 16 binary64) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 6 binary64))))) (*.f64 #s(literal 4 binary64) (/.f64 c (pow.f64 b #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 b b)))
(/ -1/4 (* a c))
(/.f64 #s(literal -1/4 binary64) (*.f64 c a))
(/ (- (* -1/16 (/ (pow b 2) (* a (pow c 2)))) (* 1/4 (/ 1 c))) a)
(/.f64 (fma.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 b b) (*.f64 c (*.f64 c a))) (/.f64 #s(literal -1/4 binary64) c)) a)
(/ (- (* -1/64 (/ (pow b 4) (* (pow a 2) (pow c 3)))) (+ (* 1/16 (/ (pow b 2) (* a (pow c 2)))) (* 1/4 (/ 1 c)))) a)
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/64 binary64) (pow.f64 b #s(literal 4 binary64))) (*.f64 (*.f64 c c) (*.f64 c (*.f64 a a)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 b b) (*.f64 c (*.f64 c a))) (/.f64 #s(literal 1/4 binary64) c))) a)
(/ (- (* -1/256 (/ (pow b 6) (* (pow a 3) (pow c 4)))) (+ (* 1/64 (/ (pow b 4) (* (pow a 2) (pow c 3)))) (+ (* 1/16 (/ (pow b 2) (* a (pow c 2)))) (* 1/4 (/ 1 c))))) a)
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/256 binary64) (pow.f64 b #s(literal 6 binary64))) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)))) (fma.f64 #s(literal 1/64 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 c c) (*.f64 c (*.f64 a a)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 b b) (*.f64 c (*.f64 c a))) (/.f64 #s(literal 1/4 binary64) c)))) a)
(/ -1/4 (* a c))
(/.f64 #s(literal -1/4 binary64) (*.f64 c a))
(* -1 (/ (+ (* 1/16 (/ (pow b 2) (* a (pow c 2)))) (* 1/4 (/ 1 c))) a))
(/.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 b b) (*.f64 c (*.f64 c a))) (/.f64 #s(literal 1/4 binary64) c)) (neg.f64 a))
(* -1 (/ (+ (* -1 (/ (- (* -1/64 (/ (pow b 4) (* a (pow c 3)))) (* 1/16 (/ (pow b 2) (pow c 2)))) a)) (* 1/4 (/ 1 c))) a))
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) c) (/.f64 (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 c (*.f64 c (*.f64 c a)))) (*.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 b b) (*.f64 c c)))) a)) (neg.f64 a))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/256 (/ (pow b 6) (* a (pow c 4)))) (* -1/64 (/ (pow b 4) (pow c 3)))) a)) (* 1/16 (/ (pow b 2) (pow c 2)))) a)) (* 1/4 (/ 1 c))) a))
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) c) (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/256 binary64) (/.f64 (pow.f64 b #s(literal 6 binary64)) (*.f64 a (pow.f64 c #s(literal 4 binary64)))) (*.f64 #s(literal 1/64 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 c (*.f64 c c))))) (neg.f64 a)) (*.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 b b) (*.f64 c c)))) a)) (neg.f64 a))
(* -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)))
(* -1 (/ (pow a 2) b))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 a a) b))
(* -1 (/ (pow a 2) b))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 a a) b))
(* -1 (/ (pow a 2) b))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 a a) b))
(* -1 (/ (pow a 2) b))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 a a) b))
(* -1 (/ (pow a 2) b))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 a a) b))
(* -1 (/ (pow a 2) b))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 a a) b))
(* -1 (/ (pow a 2) b))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 a a) b))
(* -1 (/ (pow a 2) b))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 a a) b))
(* -1 (/ (pow a 2) b))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 a a) b))
(* -1 (/ (pow a 2) b))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 a a) b))
(* -1 (/ (pow a 2) b))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 a a) b))
(* -1 (/ (pow a 2) b))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 a a) b))
(* -1 (/ (pow a 2) b))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 a a) b))
(* -1 (/ (pow a 2) b))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 a a) b))
(* -1 (/ (pow a 2) b))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 a a) b))
(* -1 (/ (pow a 2) b))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 a a) b))
(* -1 (/ (pow a 2) b))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 a a) b))
(* -1 (/ (pow a 2) b))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 a a) b))
(* -1 (/ (pow a 2) b))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 a a) b))
(* -1 (/ (pow a 2) b))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 a a) b))
(* -1 (/ (pow a 2) b))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 a a) b))
(* -1 (/ (pow a 2) b))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 a a) b))
(* -1 (/ (pow a 2) b))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 a a) b))
(* -1 (/ (pow a 2) b))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 a a) b))

eval203.0ms (1.7%)

Memory
6.0MiB live, 379.7MiB allocated
Compiler

Compiled 36 643 to 4 221 computations (88.5% saved)

prune252.0ms (2.2%)

Memory
23.2MiB live, 416.4MiB allocated
Pruning

38 alts after pruning (35 fresh and 3 done)

PrunedKeptTotal
New1 564171 581
Fresh131831
Picked325
Done011
Total1 580381 618
Accuracy
99.5%
Counts
1 618 → 38
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶53.5%
(fma.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (/.f64 b (*.f64 a #s(literal -2 binary64))))
19.8%
(fma.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 a)) (sqrt.f64 (*.f64 c #s(literal -4 binary64))) (/.f64 (*.f64 b #s(literal -1/2 binary64)) a))
17.9%
(fma.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 (*.f64 c #s(literal -4 binary64))) (/.f64 #s(literal -1/2 binary64) a)) (/.f64 (*.f64 b #s(literal -1/2 binary64)) a))
34.6%
(/.f64 (fma.f64 (*.f64 b #s(literal -1/2 binary64)) a (*.f64 a (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) #s(literal -1/2 binary64)))) (*.f64 a a))
▶30.3%
(/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b) (*.f64 #s(literal 2 binary64) a))
35.4%
(/.f64 (-.f64 (*.f64 (*.f64 b #s(literal -1/2 binary64)) (*.f64 a #s(literal 2 binary64))) (*.f64 a (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) (*.f64 a (*.f64 a #s(literal 2 binary64))))
32.8%
(/.f64 (-.f64 (*.f64 c (*.f64 #s(literal -1 binary64) (/.f64 a b))) b) a)
33.1%
(/.f64 (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 c a))))) (*.f64 #s(literal 2 binary64) a))
29.2%
(/.f64 (-.f64 (neg.f64 b) (*.f64 (sqrt.f64 (fma.f64 a #s(literal -4 binary64) (/.f64 (*.f64 b b) c))) (sqrt.f64 c))) (*.f64 #s(literal 2 binary64) a))
30.3%
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c)) b)
2.1%
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) a) b)) (fma.f64 a a #s(literal 0 binary64)))
36.0%
(/.f64 (-.f64 #s(literal 0 binary64) c) b)
26.7%
(/.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 a (/.f64 a b)))
34.6%
(/.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64)))
33.8%
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))))
29.5%
(/.f64 (*.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal -1/2 binary64)) (*.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))) a))
11.9%
(/.f64 (*.f64 (*.f64 c a) (/.f64 #s(literal 1 binary64) a)) b)
36.2%
(/.f64 (neg.f64 (*.f64 c (fma.f64 a (/.f64 c (*.f64 b b)) #s(literal 1 binary64)))) b)
▶12.0%
(/.f64 c b)
✓2.5%
(/.f64 b a)
34.6%
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))))))
2.5%
(/.f64 #s(literal 1 binary64) (/.f64 a b))
34.1%
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) a))
33.4%
(-.f64 (/.f64 c b) (/.f64 b a))
2.0%
(*.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (/.f64 a b))
▶12.1%
(*.f64 (/.f64 c a) (/.f64 a b))
19.8%
(*.f64 (/.f64 a (-.f64 #s(literal 0 binary64) (fma.f64 a a #s(literal 0 binary64)))) b)
2.5%
(*.f64 (/.f64 #s(literal 1 binary64) a) b)
19.8%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (fma.f64 (sqrt.f64 (*.f64 c #s(literal -4 binary64))) (sqrt.f64 a) b))
19.0%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (fma.f64 (sqrt.f64 (*.f64 a #s(literal -4 binary64))) (sqrt.f64 c) b))
✓55.5%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
▶50.6%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 (fma.f64 a #s(literal -4 binary64) (/.f64 (*.f64 b b) c)) c))))
28.2%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 b b))))
✓34.5%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))))
17.1%
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 a a #s(literal 0 binary64)))) a) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))))
11.8%
(*.f64 (*.f64 c a) (/.f64 (/.f64 #s(literal 1 binary64) b) a))
33.3%
(*.f64 b (neg.f64 (/.f64 #s(literal 1 binary64) a)))
33.4%
(neg.f64 (/.f64 b a))
Compiler

Compiled 1 127 to 747 computations (33.7% saved)

simplify320.0ms (2.7%)

Memory
-43.2MiB live, 338.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 b (sqrt.f64 (*.f64 (fma.f64 a #s(literal -4 binary64) (/.f64 (*.f64 b b) c)) c)))
✓cost-diff0
(/.f64 #s(literal -1/2 binary64) a)
✓cost-diff0
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 (fma.f64 a #s(literal -4 binary64) (/.f64 (*.f64 b b) c)) c))))
✓cost-diff704
(*.f64 (fma.f64 a #s(literal -4 binary64) (/.f64 (*.f64 b b) c)) c)
✓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-diff1472
(/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b) (*.f64 #s(literal 2 binary64) a))
✓cost-diff0
(/.f64 a b)
✓cost-diff0
(/.f64 c a)
✓cost-diff1024
(*.f64 (/.f64 c a) (/.f64 a b))
✓cost-diff0
(/.f64 c b)
✓cost-diff0
(fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))
✓cost-diff0
(sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))
✓cost-diff0
(/.f64 #s(literal -1/2 binary64) a)
✓cost-diff0
(fma.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (/.f64 b (*.f64 a #s(literal -2 binary64))))
Rules
5 598×*-lowering-*.f32
5 598×*-lowering-*.f64
4 312×accelerator-lowering-fma.f32
4 312×accelerator-lowering-fma.f64
2 896×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031189
171189
2161187
3403183
4879182
52078178
62943178
75191178
87792178
08045169
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(+ (* (/ -1/2 a) (sqrt (+ (* c (* a -4)) (* b b)))) (/ b (* a -2)))
(/ -1/2 a)
-1/2
a
(sqrt (+ (* c (* a -4)) (* b b)))
(+ (* c (* a -4)) (* b b))
c
(* a -4)
-4
(* b b)
b
(/ b (* a -2))
(* a -2)
-2
(/ c b)
c
b
(* (/ c a) (/ a b))
(/ c a)
c
a
(/ a b)
b
(/ (/ (* 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 (* (+ (* a -4) (/ (* b b) c)) c))))
(/ -1/2 a)
-1/2
a
(+ b (sqrt (* (+ (* a -4) (/ (* b b) c)) c)))
b
(sqrt (* (+ (* a -4) (/ (* b b) c)) c))
(* (+ (* a -4) (/ (* b b) c)) c)
(+ (* a -4) (/ (* b b) c))
-4
(/ (* b b) c)
(* b b)
c
Outputs
(+ (* (/ -1/2 a) (sqrt (+ (* c (* a -4)) (* b b)))) (/ b (* a -2)))
(fma.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (/.f64 b (*.f64 a #s(literal -2 binary64))))
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
-1/2
#s(literal -1/2 binary64)
a
(sqrt (+ (* c (* a -4)) (* b b)))
(sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))
(+ (* c (* a -4)) (* b b))
(fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))
c
(* a -4)
(*.f64 a #s(literal -4 binary64))
-4
#s(literal -4 binary64)
(* b b)
(*.f64 b b)
b
(/ b (* a -2))
(/.f64 b (*.f64 a #s(literal -2 binary64)))
(* a -2)
(*.f64 a #s(literal -2 binary64))
-2
#s(literal -2 binary64)
(/ c b)
(/.f64 c b)
c
b
(* (/ c a) (/ a b))
(/.f64 c b)
(/ c a)
(/.f64 c a)
c
a
(/ a b)
(/.f64 a b)
b
(/ (/ (* c (* a -2)) b) (* 2 a))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(/ (* c (* a -2)) b)
(*.f64 c (/.f64 (*.f64 a #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 (* (+ (* a -4) (/ (* b b) c)) c))))
(/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) a)
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
-1/2
#s(literal -1/2 binary64)
a
(+ b (sqrt (* (+ (* a -4) (/ (* b b) c)) c)))
(+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))
b
(sqrt (* (+ (* a -4) (/ (* b b) c)) c))
(sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))
(* (+ (* a -4) (/ (* b b) c)) c)
(fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))
(+ (* a -4) (/ (* b b) c))
(fma.f64 a #s(literal -4 binary64) (/.f64 (*.f64 b b) c))
-4
#s(literal -4 binary64)
(/ (* b b) c)
(/.f64 (*.f64 b b) c)
(* b b)
(*.f64 b b)
c

localize137.0ms (1.2%)

Memory
0.2MiB live, 197.3MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy93.3%
(*.f64 (fma.f64 a #s(literal -4 binary64) (/.f64 (*.f64 b b) c)) c)
✓accuracy88.9%
(/.f64 (*.f64 b b) c)
✓accuracy77.3%
(+.f64 b (sqrt.f64 (*.f64 (fma.f64 a #s(literal -4 binary64) (/.f64 (*.f64 b b) c)) c)))
✓accuracy67.3%
(sqrt.f64 (*.f64 (fma.f64 a #s(literal -4 binary64) (/.f64 (*.f64 b b) c)) c))
✓accuracy100.0%
(*.f64 a #s(literal -2 binary64))
✓accuracy100.0%
(*.f64 #s(literal 2 binary64) a)
✓accuracy95.2%
(/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b)
✓accuracy85.4%
(/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b) (*.f64 #s(literal 2 binary64) a))
✓accuracy100.0%
(/.f64 c a)
✓accuracy100.0%
(/.f64 a b)
✓accuracy72.2%
(*.f64 (/.f64 c a) (/.f64 a b))
✓accuracy100.0%
(/.f64 c b)
✓accuracy100.0%
(*.f64 a #s(literal -4 binary64))
✓accuracy100.0%
(fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))
✓accuracy67.3%
(sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))
✓accuracy66.9%
(fma.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (/.f64 b (*.f64 a #s(literal -2 binary64))))
Samples
37.0ms170×0valid
23.0ms39×2valid
14.0ms31×1valid
12.0ms16×3valid
Compiler

Compiled 190 to 33 computations (82.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 58.0ms
ival-mult: 21.0ms (36% of total)
ival-div: 19.0ms (32.6% of total)
ival-add: 9.0ms (15.4% of total)
ival-sqrt: 6.0ms (10.3% of total)
adjust: 3.0ms (5.1% of total)
exact: 1.0ms (1.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series19.0ms (0.2%)

Memory
36.4MiB live, 36.4MiB allocated
Counts
19 → 528
Calls
Call 1
Inputs
#<alt (+ (* (/ -1/2 a) (sqrt (+ (* c (* a -4)) (* b b)))) (/ b (* a -2)))>
#<alt (/ -1/2 a)>
#<alt (sqrt (+ (* c (* a -4)) (* b b)))>
#<alt (+ (* c (* a -4)) (* b b))>
#<alt (/ c b)>
#<alt (* (/ c a) (/ a b))>
#<alt (/ c a)>
#<alt (/ a b)>
#<alt (/ (/ (* c (* a -2)) b) (* 2 a))>
#<alt (/ (* c (* a -2)) b)>
#<alt (* c (* a -2))>
#<alt (* a -2)>
#<alt (* (+ (* a -4) (/ (* b b) c)) c)>
#<alt (* (/ -1/2 a) (+ b (sqrt (* (+ (* a -4) (/ (* b b) c)) c))))>
#<alt (+ b (sqrt (* (+ (* a -4) (/ (* b b) c)) c)))>
#<alt (* a -4)>
#<alt (* 2 a)>
#<alt (sqrt (* (+ (* a -4) (/ (* b b) c)) c))>
#<alt (/ (* b b) c)>
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 (/ 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 (* (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 (/ -1/2 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 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 (* (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 (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 (* -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 (/ 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 (/ 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 (/ 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 a)>
#<alt (/ c a)>
#<alt (/ c a)>
#<alt (/ c a)>
#<alt (/ c a)>
#<alt (/ c a)>
#<alt (/ c a)>
#<alt (/ c a)>
#<alt (/ c a)>
#<alt (/ c a)>
#<alt (/ c a)>
#<alt (/ c a)>
#<alt (/ c a)>
#<alt (/ c a)>
#<alt (/ c a)>
#<alt (/ c a)>
#<alt (/ c a)>
#<alt (/ c a)>
#<alt (/ c a)>
#<alt (/ c a)>
#<alt (/ c a)>
#<alt (/ c a)>
#<alt (/ c a)>
#<alt (/ c 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 (/ 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))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (* a c))>
#<alt (* -2 (* a c))>
#<alt (* -2 (* a c))>
#<alt (* -2 (* a c))>
#<alt (* -2 (* a c))>
#<alt (* -2 (* a c))>
#<alt (* -2 (* a c))>
#<alt (* -2 (* a c))>
#<alt (* -2 (* a c))>
#<alt (* -2 (* a c))>
#<alt (* -2 (* a c))>
#<alt (* -2 (* a c))>
#<alt (* -2 (* a c))>
#<alt (* -2 (* a c))>
#<alt (* -2 (* a c))>
#<alt (* -2 (* a c))>
#<alt (* -2 (* a c))>
#<alt (* -2 (* a c))>
#<alt (* -2 (* a c))>
#<alt (* -2 (* a c))>
#<alt (* -2 (* a c))>
#<alt (* -2 (* a c))>
#<alt (* -2 (* a c))>
#<alt (* -2 (* a c))>
#<alt (* -2 a)>
#<alt (* -2 a)>
#<alt (* -2 a)>
#<alt (* -2 a)>
#<alt (* -2 a)>
#<alt (* -2 a)>
#<alt (* -2 a)>
#<alt (* -2 a)>
#<alt (* -2 a)>
#<alt (* -2 a)>
#<alt (* -2 a)>
#<alt (* -2 a)>
#<alt (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 (* -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 (* -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 (* 1/2 (* (sqrt (/ c a)) (* (sqrt -4) (pow (sqrt -1) 2))))>
#<alt (* -1 (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* (sqrt -4) (pow (sqrt -1) 2)))) (* 1/2 (/ b (* a c))))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (pow (sqrt -1) 2)) (sqrt -4))))) c)) (* -1/2 (* (sqrt (/ 1 (* a c))) (* (sqrt -4) (pow (sqrt -1) 2)))))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (pow (sqrt -1) 2)) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (pow (sqrt -1) 2)) (sqrt -4))))) c)) (* -1/2 (/ b a))) c)) (* -1/2 (* (sqrt (/ 1 (* a c))) (* (sqrt -4) (pow (sqrt -1) 2)))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (+ b (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ (* b (+ 1 (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ (* b (+ 1 (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (* 2 b)>
#<alt (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))>
#<alt (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))>
#<alt (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* -1 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))>
#<alt (* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))>
#<alt (* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b))>
#<alt (* 2 b)>
#<alt (+ (* -2 (/ (* a c) b)) (* 2 b))>
#<alt (+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))>
#<alt (+ (* 2 b) (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))>
#<alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))>
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -1 (* a (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -1 (* a (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* 2 b)>
#<alt (+ (* -2 (/ (* a c) b)) (* 2 b))>
#<alt (+ (* 2 b) (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))>
#<alt (+ (* 2 b) (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))>
#<alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))>
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))))>
#<alt (* -1 (* (sqrt (* a c)) (* (sqrt -4) (pow (sqrt -1) 2))))>
#<alt (* -1 (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (* (sqrt -4) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ b (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (pow (sqrt -1) 2)) (sqrt -4))))) c)) (* (sqrt (/ a c)) (* (sqrt -4) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (pow (sqrt -1) 2)) (sqrt -4)))) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (pow (sqrt -1) 2)) (pow (sqrt -4) 3))))) c))) c)) (* (sqrt (/ a c)) (* (sqrt -4) (pow (sqrt -1) 2))))))>
#<alt (* -4 a)>
#<alt (* -4 a)>
#<alt (* -4 a)>
#<alt (* -4 a)>
#<alt (* -4 a)>
#<alt (* -4 a)>
#<alt (* -4 a)>
#<alt (* -4 a)>
#<alt (* -4 a)>
#<alt (* -4 a)>
#<alt (* -4 a)>
#<alt (* -4 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt b>
#<alt (+ b (* -2 (/ (* a c) b)))>
#<alt (+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))>
#<alt (+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))>
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))>
#<alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))>
#<alt (* (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 (* -1 (* (sqrt (* a c)) (* (sqrt -4) (pow (sqrt -1) 2))))>
#<alt (* -1 (* c (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (pow (sqrt -1) 2)) (sqrt -4)))) (* (sqrt (/ a c)) (* (sqrt -4) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* c (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (pow (sqrt -1) 2)) (sqrt -4)))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (pow (sqrt -1) 2)) (pow (sqrt -4) 3)))) (* (sqrt (/ a c)) (* (sqrt -4) (pow (sqrt -1) 2)))))))>
#<alt (* -1 (* c (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (pow (sqrt -1) 2)) (sqrt -4)))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (pow (sqrt -1) 2)) (pow (sqrt -4) 3)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (pow (sqrt -1) 2)) (pow (sqrt -4) 5)))) (* (sqrt (/ a c)) (* (sqrt -4) (pow (sqrt -1) 2))))))))>
#<alt (/ (pow b 2) c)>
#<alt (/ (pow b 2) c)>
#<alt (/ (pow b 2) c)>
#<alt (/ (pow b 2) c)>
#<alt (/ (pow b 2) c)>
#<alt (/ (pow b 2) c)>
#<alt (/ (pow b 2) c)>
#<alt (/ (pow b 2) c)>
#<alt (/ (pow b 2) c)>
#<alt (/ (pow b 2) c)>
#<alt (/ (pow b 2) c)>
#<alt (/ (pow b 2) c)>
#<alt (/ (pow b 2) c)>
#<alt (/ (pow b 2) c)>
#<alt (/ (pow b 2) c)>
#<alt (/ (pow b 2) c)>
#<alt (/ (pow b 2) c)>
#<alt (/ (pow b 2) c)>
#<alt (/ (pow b 2) c)>
#<alt (/ (pow b 2) c)>
#<alt (/ (pow b 2) c)>
#<alt (/ (pow b 2) c)>
#<alt (/ (pow b 2) c)>
#<alt (/ (pow b 2) c)>
Calls

132 calls:

TimeVariablePointExpression
0.0ms
b
@inf
(+ (* (/ -1/2 a) (sqrt (+ (* c (* a -4)) (* b b)))) (/ b (* a -2)))
0.0ms
a
@inf
(+ (* (/ -1/2 a) (sqrt (+ (* c (* a -4)) (* b b)))) (/ b (* a -2)))
0.0ms
a
@inf
(* a -4)
0.0ms
c
@inf
(+ (* (/ -1/2 a) (sqrt (+ (* c (* a -4)) (* b b)))) (/ b (* a -2)))
0.0ms
a
@inf
(* a -2)

rewrite386.0ms (3.3%)

Memory
-27.1MiB live, 576.7MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 802×/-lowering-/.f32
4 802×/-lowering-/.f64
4 686×*-lowering-*.f32
4 686×*-lowering-*.f64
3 000×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031146
1172146
21636146
08191138
Stop Event
1×iter limit
1×node limit
Counts
19 → 992
Calls
Call 1
Inputs
(+ (* (/ -1/2 a) (sqrt (+ (* c (* a -4)) (* b b)))) (/ b (* a -2)))
(/ -1/2 a)
(sqrt (+ (* c (* a -4)) (* b b)))
(+ (* c (* a -4)) (* b b))
(/ c b)
(* (/ c a) (/ a b))
(/ c a)
(/ a b)
(/ (/ (* c (* a -2)) b) (* 2 a))
(/ (* c (* a -2)) b)
(* c (* a -2))
(* a -2)
(* (+ (* a -4) (/ (* b b) c)) c)
(* (/ -1/2 a) (+ b (sqrt (* (+ (* a -4) (/ (* b b) c)) c))))
(+ b (sqrt (* (+ (* a -4) (/ (* b b) c)) c)))
(* a -4)
(* 2 a)
(sqrt (* (+ (* a -4) (/ (* b b) c)) c))
(/ (* b b) c)
Outputs
(+.f64 (/.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (*.f64 a #s(literal -2 binary64))) (/.f64 b (*.f64 a #s(literal -2 binary64))))
(+.f64 (/.f64 b (*.f64 a #s(literal -2 binary64))) (/.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (*.f64 a #s(literal -2 binary64))))
(-.f64 (/.f64 (*.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) a))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) (*.f64 a #s(literal -2 binary64)))) (/.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -2 binary64)) (*.f64 a #s(literal -2 binary64)))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) (*.f64 a #s(literal -2 binary64)))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (/.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (*.f64 a #s(literal -2 binary64))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))) (/.f64 b (*.f64 a #s(literal -2 binary64))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) b) (/.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (*.f64 a #s(literal -2 binary64))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) a) (/.f64 b (*.f64 a #s(literal -2 binary64))))
(fma.f64 (/.f64 #s(literal -1/2 binary64) a) b (/.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (*.f64 a #s(literal -2 binary64))))
(fma.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (/.f64 b (*.f64 a #s(literal -2 binary64))))
(fma.f64 (/.f64 #s(literal -1/2 binary64) a) (pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal -1 binary64)) (/.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (*.f64 a #s(literal -2 binary64))))
(fma.f64 b (/.f64 #s(literal -1/2 binary64) a) (/.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (*.f64 a #s(literal -2 binary64))))
(fma.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) a) (/.f64 b (*.f64 a #s(literal -2 binary64))))
(fma.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 #s(literal 1/2 binary64) a) (/.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (*.f64 a #s(literal -2 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 b (*.f64 a #s(literal -2 binary64))) (/.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (*.f64 a #s(literal -2 binary64))))
(fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (*.f64 a #s(literal -2 binary64))))
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(pow.f64 (sqrt.f64 (*.f64 c (fma.f64 a #s(literal -4 binary64) (/.f64 (*.f64 b b) c)))) #s(literal 1 binary64))
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(pow.f64 (pow.f64 (*.f64 c (fma.f64 a #s(literal -4 binary64) (/.f64 (*.f64 b b) c))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(*.f64 (sqrt.f64 (fma.f64 a #s(literal -4 binary64) (/.f64 (*.f64 b b) c))) (sqrt.f64 c))
(*.f64 (sqrt.f64 c) (sqrt.f64 (fma.f64 a #s(literal -4 binary64) (/.f64 (*.f64 b b) c))))
(*.f64 (pow.f64 (*.f64 c (fma.f64 a #s(literal -4 binary64) (/.f64 (*.f64 b b) c))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 c (fma.f64 a #s(literal -4 binary64) (/.f64 (*.f64 b b) c))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 a #s(literal -4 binary64) (/.f64 (*.f64 b b) c))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (*.f64 c (*.f64 c (fma.f64 a #s(literal -4 binary64) (/.f64 (*.f64 b b) c))))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (*.f64 c (fma.f64 a #s(literal -4 binary64) (/.f64 (*.f64 b b) c))) (fma.f64 a #s(literal -4 binary64) (/.f64 (*.f64 b b) c)))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 c) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 c (fma.f64 a #s(literal -4 binary64) (/.f64 (*.f64 b b) c))))) (sqrt.f64 (sqrt.f64 (*.f64 c (fma.f64 a #s(literal -4 binary64) (/.f64 (*.f64 b b) c))))))
(*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 a #s(literal -4 binary64) (/.f64 (*.f64 b b) c)))) (sqrt.f64 (sqrt.f64 (*.f64 c (*.f64 c (fma.f64 a #s(literal -4 binary64) (/.f64 (*.f64 b b) c)))))))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 c (fma.f64 a #s(literal -4 binary64) (/.f64 (*.f64 b b) c))) (fma.f64 a #s(literal -4 binary64) (/.f64 (*.f64 b b) c))))) (sqrt.f64 (sqrt.f64 c)))
(exp.f64 (*.f64 (log.f64 (/.f64 c (*.f64 b b))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (*.f64 b b) (-.f64 #s(literal 0 binary64) c)))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) c))
(/.f64 (*.f64 b b) c)
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (-.f64 #s(literal 0 binary64) c))
(/.f64 #s(literal 1 binary64) (/.f64 c (*.f64 b b)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 c (*.f64 b b)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 c (*.f64 b b))))
(/.f64 (*.f64 (*.f64 b b) #s(literal 1 binary64)) c)
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b))) (neg.f64 (-.f64 #s(literal 0 binary64) c)))
(pow.f64 (/.f64 c (*.f64 b b)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 c (*.f64 b b)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 b (/.f64 b c))
(*.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) c))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) c)))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) c))
(*.f64 (/.f64 b c) b)
(*.f64 (/.f64 #s(literal 1 binary64) c) (*.f64 b b))
(*.f64 (/.f64 #s(literal 1 binary64) c) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) #s(literal -1 binary64)))

simplify488.0ms (4.2%)

Memory
45.1MiB live, 783.8MiB allocated
Algorithm
1×egg-herbie
Rules
11 828×accelerator-lowering-fma.f32
11 828×accelerator-lowering-fma.f64
7 648×*-lowering-*.f32
7 648×*-lowering-*.f64
2 734×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05706569
117996433
263536376
082546089
Stop Event
1×iter limit
1×node limit
Counts
528 → 528
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 (/ 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 (* (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))
(/ -1/2 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)
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))))))))
(* (sqrt (* a c)) (sqrt -4))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))
b
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 b)
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* -4 (* a c))
(* 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))))
(* -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)))))
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c a)
(/ c a)
(/ c a)
(/ c a)
(/ c a)
(/ c a)
(/ c a)
(/ c a)
(/ c a)
(/ c a)
(/ c a)
(/ c a)
(/ c a)
(/ c a)
(/ c a)
(/ c a)
(/ c a)
(/ c a)
(/ c a)
(/ c a)
(/ c a)
(/ c a)
(/ c a)
(/ c a)
(/ 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)
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (* a c))
(* -2 (* a c))
(* -2 (* a c))
(* -2 (* a c))
(* -2 (* a c))
(* -2 (* a c))
(* -2 (* a c))
(* -2 (* a c))
(* -2 (* a c))
(* -2 (* a c))
(* -2 (* a c))
(* -2 (* a c))
(* -2 (* a c))
(* -2 (* a c))
(* -2 (* a c))
(* -2 (* a c))
(* -2 (* a c))
(* -2 (* a c))
(* -2 (* a c))
(* -2 (* a c))
(* -2 (* a c))
(* -2 (* a c))
(* -2 (* a c))
(* -2 (* a c))
(* -2 a)
(* -2 a)
(* -2 a)
(* -2 a)
(* -2 a)
(* -2 a)
(* -2 a)
(* -2 a)
(* -2 a)
(* -2 a)
(* -2 a)
(* -2 a)
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* -4 (* a c))
(* 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))))
(* -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))))
(* -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))))))))
(* 1/2 (* (sqrt (/ c a)) (* (sqrt -4) (pow (sqrt -1) 2))))
(* -1 (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* (sqrt -4) (pow (sqrt -1) 2)))) (* 1/2 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (pow (sqrt -1) 2)) (sqrt -4))))) c)) (* -1/2 (* (sqrt (/ 1 (* a c))) (* (sqrt -4) (pow (sqrt -1) 2)))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (pow (sqrt -1) 2)) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (pow (sqrt -1) 2)) (sqrt -4))))) c)) (* -1/2 (/ b a))) c)) (* -1/2 (* (sqrt (/ 1 (* a c))) (* (sqrt -4) (pow (sqrt -1) 2)))))))
(* (sqrt (* a c)) (sqrt -4))
(+ b (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (+ 1 (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (+ 1 (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))) (* (sqrt (* a c)) (sqrt -4)))
(* 2 b)
(* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* 2 (/ (* a c) b))
(* -1 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))
(* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b))
(* 2 b)
(+ (* -2 (/ (* a c) b)) (* 2 b))
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* 2 b)
(+ (* -2 (/ (* a c) b)) (* 2 b))
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))))
(* -1 (* (sqrt (* a c)) (* (sqrt -4) (pow (sqrt -1) 2))))
(* -1 (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (* (sqrt -4) (pow (sqrt -1) 2))))))
(* -1 (* c (+ (* -1 (/ (+ b (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (pow (sqrt -1) 2)) (sqrt -4))))) c)) (* (sqrt (/ a c)) (* (sqrt -4) (pow (sqrt -1) 2))))))
(* -1 (* c (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (pow (sqrt -1) 2)) (sqrt -4)))) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (pow (sqrt -1) 2)) (pow (sqrt -4) 3))))) c))) c)) (* (sqrt (/ a c)) (* (sqrt -4) (pow (sqrt -1) 2))))))
(* -4 a)
(* -4 a)
(* -4 a)
(* -4 a)
(* -4 a)
(* -4 a)
(* -4 a)
(* -4 a)
(* -4 a)
(* -4 a)
(* -4 a)
(* -4 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
(* (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))))))
(* -1 (* (sqrt (* a c)) (* (sqrt -4) (pow (sqrt -1) 2))))
(* -1 (* c (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (pow (sqrt -1) 2)) (sqrt -4)))) (* (sqrt (/ a c)) (* (sqrt -4) (pow (sqrt -1) 2))))))
(* -1 (* c (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (pow (sqrt -1) 2)) (sqrt -4)))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (pow (sqrt -1) 2)) (pow (sqrt -4) 3)))) (* (sqrt (/ a c)) (* (sqrt -4) (pow (sqrt -1) 2)))))))
(* -1 (* c (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (pow (sqrt -1) 2)) (sqrt -4)))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (pow (sqrt -1) 2)) (pow (sqrt -4) 3)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (pow (sqrt -1) 2)) (pow (sqrt -4) 5)))) (* (sqrt (/ a c)) (* (sqrt -4) (pow (sqrt -1) 2))))))))
(/ (pow b 2) c)
(/ (pow b 2) c)
(/ (pow b 2) c)
(/ (pow b 2) c)
(/ (pow b 2) c)
(/ (pow b 2) c)
(/ (pow b 2) c)
(/ (pow b 2) c)
(/ (pow b 2) c)
(/ (pow b 2) c)
(/ (pow b 2) c)
(/ (pow b 2) c)
(/ (pow b 2) c)
(/ (pow b 2) c)
(/ (pow b 2) c)
(/ (pow b 2) c)
(/ (pow b 2) c)
(/ (pow b 2) c)
(/ (pow b 2) c)
(/ (pow b 2) c)
(/ (pow b 2) c)
(/ (pow b 2) c)
(/ (pow b 2) c)
(/ (pow b 2) c)
Outputs
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/.f64 (-.f64 (/.f64 (*.f64 a c) b) b) a)
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/.f64 (fma.f64 a (*.f64 c (fma.f64 c (/.f64 a (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) b))) (-.f64 #s(literal 0 binary64) b)) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)
(/.f64 (fma.f64 a (fma.f64 a (fma.f64 (*.f64 a #s(literal 2 binary64)) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b)))) (/.f64 c b)) (-.f64 #s(literal 0 binary64) 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) (fma.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))))))
(fma.f64 #s(literal -1/2 binary64) (fma.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 a (*.f64 a c))))) (*.f64 b (*.f64 #s(literal -1/4 binary64) (/.f64 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)))))))
(fma.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 b a)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c))))) (*.f64 b b)) (sqrt.f64 #s(literal -4 binary64))) (*.f64 #s(literal -1/64 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c c) (*.f64 c (pow.f64 a #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)))
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (*.f64 b #s(literal -1/2 binary64)) a))
(+ (* -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 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.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 (fma.f64 #s(literal -1/128 binary64) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))))) (*.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 (fma.f64 c (/.f64 a (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) b))) (/.f64 b a))
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))
(fma.f64 c (fma.f64 c (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 a (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 1 binary64) b)) (-.f64 #s(literal 0 binary64) (/.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)) (fma.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 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c c) (*.f64 a (*.f64 a (*.f64 a c)))))) (*.f64 b (*.f64 #s(literal -1/4 binary64) (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) (*.f64 #s(literal -1/2 binary64) (fma.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)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))
(*.f64 c (fma.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (/.f64 b (*.f64 a c))) (fma.f64 #s(literal -1/64 binary64) (/.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 5 binary64)))))) (sqrt.f64 #s(literal -4 binary64))) (/.f64 (*.f64 (*.f64 b b) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c c) (*.f64 a (*.f64 a (*.f64 a c))))))) (*.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 (* 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))))) (-.f64 #s(literal 0 binary64) c))
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(*.f64 (-.f64 #s(literal 0 binary64) b) (fma.f64 a (*.f64 (/.f64 c (*.f64 b b)) #s(literal -2 binary64)) #s(literal 1 binary64)))
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(*.f64 (-.f64 #s(literal 0 binary64) b) (fma.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 c (*.f64 b b)) (/.f64 (*.f64 c (*.f64 a (*.f64 a c))) (*.f64 (*.f64 b b) (*.f64 b b)))) #s(literal 1 binary64)))
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(*.f64 (-.f64 #s(literal 0 binary64) b) (fma.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 c (*.f64 b b)) (/.f64 (*.f64 c (*.f64 a (*.f64 a c))) (*.f64 (*.f64 b b) (*.f64 b b)))) (fma.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 1 binary64))))
b
(+ b (* -2 (/ (* a c) b)))
(fma.f64 a (/.f64 (*.f64 c #s(literal -2 binary64)) b) b)
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(fma.f64 (*.f64 c #s(literal -2 binary64)) (fma.f64 c (/.f64 (*.f64 a a) (*.f64 b (*.f64 b b))) (/.f64 a b)) b)
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(fma.f64 c (fma.f64 c (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 a c))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 a a) #s(literal -2 binary64)) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -2 binary64)) b)) b)
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 a c)))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(*.f64 c (fma.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c)))))) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(*.f64 c (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64)))))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/32 binary64) (fma.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c)))))) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c))))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(*.f64 c (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 b #s(literal 6 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 7 binary64)))))) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64)))))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/32 binary64) (fma.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c)))))) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c)))))))
(* -1 (* (sqrt (* a c)) (* (sqrt -4) (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 a c)))
(* -1 (* c (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (pow (sqrt -1) 2)) (sqrt -4)))) (* (sqrt (/ a c)) (* (sqrt -4) (pow (sqrt -1) 2))))))
(-.f64 #s(literal 0 binary64) (*.f64 c (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (-.f64 #s(literal 0 binary64) (*.f64 b b))) (sqrt.f64 #s(literal -4 binary64))) (neg.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c)))))))
(* -1 (* c (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (pow (sqrt -1) 2)) (sqrt -4)))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (pow (sqrt -1) 2)) (pow (sqrt -4) 3)))) (* (sqrt (/ a c)) (* (sqrt -4) (pow (sqrt -1) 2)))))))
(-.f64 #s(literal 0 binary64) (*.f64 c (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (-.f64 #s(literal 0 binary64) (*.f64 b b))) (sqrt.f64 #s(literal -4 binary64))) (fma.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64))))) (neg.f64 (*.f64 (*.f64 b b) (*.f64 b b)))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/32 binary64) (neg.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c))))))))
(* -1 (* c (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (pow (sqrt -1) 2)) (sqrt -4)))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (pow (sqrt -1) 2)) (pow (sqrt -4) 3)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (pow (sqrt -1) 2)) (pow (sqrt -4) 5)))) (* (sqrt (/ a c)) (* (sqrt -4) (pow (sqrt -1) 2))))))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (-.f64 #s(literal 0 binary64) (*.f64 b b))) (sqrt.f64 #s(literal -4 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 7 binary64))))) (*.f64 (neg.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64)))) #s(literal -1/16 binary64)) (fma.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64))))) (neg.f64 (*.f64 (*.f64 b b) (*.f64 b b)))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/32 binary64) (neg.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c))))))) (-.f64 #s(literal 0 binary64) c))
(/ (pow b 2) c)
(/.f64 (*.f64 b b) c)
(/ (pow b 2) c)
(/.f64 (*.f64 b b) c)
(/ (pow b 2) c)
(/.f64 (*.f64 b b) c)
(/ (pow b 2) c)
(/.f64 (*.f64 b b) c)
(/ (pow b 2) c)
(/.f64 (*.f64 b b) c)
(/ (pow b 2) c)
(/.f64 (*.f64 b b) c)
(/ (pow b 2) c)
(/.f64 (*.f64 b b) c)
(/ (pow b 2) c)
(/.f64 (*.f64 b b) c)
(/ (pow b 2) c)
(/.f64 (*.f64 b b) c)
(/ (pow b 2) c)
(/.f64 (*.f64 b b) c)
(/ (pow b 2) c)
(/.f64 (*.f64 b b) c)
(/ (pow b 2) c)
(/.f64 (*.f64 b b) c)
(/ (pow b 2) c)
(/.f64 (*.f64 b b) c)
(/ (pow b 2) c)
(/.f64 (*.f64 b b) c)
(/ (pow b 2) c)
(/.f64 (*.f64 b b) c)
(/ (pow b 2) c)
(/.f64 (*.f64 b b) c)
(/ (pow b 2) c)
(/.f64 (*.f64 b b) c)
(/ (pow b 2) c)
(/.f64 (*.f64 b b) c)
(/ (pow b 2) c)
(/.f64 (*.f64 b b) c)
(/ (pow b 2) c)
(/.f64 (*.f64 b b) c)
(/ (pow b 2) c)
(/.f64 (*.f64 b b) c)
(/ (pow b 2) c)
(/.f64 (*.f64 b b) c)
(/ (pow b 2) c)
(/.f64 (*.f64 b b) c)
(/ (pow b 2) c)
(/.f64 (*.f64 b b) c)

eval278.0ms (2.4%)

Memory
-6.1MiB live, 493.2MiB allocated
Compiler

Compiled 35 216 to 3 170 computations (91% saved)

prune226.0ms (1.9%)

Memory
16.0MiB live, 501.1MiB allocated
Pruning

43 alts after pruning (37 fresh and 6 done)

PrunedKeptTotal
New1 56671 573
Fresh03030
Picked235
Done033
Total1 568431 611
Accuracy
99.5%
Counts
1 611 → 43
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓53.5%
(fma.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (/.f64 b (*.f64 a #s(literal -2 binary64))))
33.4%
(fma.f64 (/.f64 #s(literal -1/2 binary64) a) b (/.f64 b (*.f64 a #s(literal -2 binary64))))
19.8%
(fma.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 a)) (sqrt.f64 (*.f64 c #s(literal -4 binary64))) (/.f64 (*.f64 b #s(literal -1/2 binary64)) a))
17.9%
(fma.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 (*.f64 c #s(literal -4 binary64))) (/.f64 #s(literal -1/2 binary64) a)) (/.f64 (*.f64 b #s(literal -1/2 binary64)) a))
34.6%
(/.f64 (fma.f64 (*.f64 b #s(literal -1/2 binary64)) a (*.f64 a (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) #s(literal -1/2 binary64)))) (*.f64 a a))
35.4%
(/.f64 (-.f64 (*.f64 (*.f64 b #s(literal -1/2 binary64)) (*.f64 a #s(literal 2 binary64))) (*.f64 a (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) (*.f64 a (*.f64 a #s(literal 2 binary64))))
32.8%
(/.f64 (-.f64 (*.f64 c (*.f64 #s(literal -1 binary64) (/.f64 a b))) b) a)
33.1%
(/.f64 (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 c a))))) (*.f64 #s(literal 2 binary64) a))
29.2%
(/.f64 (-.f64 (neg.f64 b) (*.f64 (sqrt.f64 (fma.f64 a #s(literal -4 binary64) (/.f64 (*.f64 b b) c))) (sqrt.f64 c))) (*.f64 #s(literal 2 binary64) a))
30.3%
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c)) b)
2.1%
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) a) b)) (fma.f64 a a #s(literal 0 binary64)))
36.0%
(/.f64 (-.f64 #s(literal 0 binary64) c) b)
26.7%
(/.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 a (/.f64 a b)))
34.6%
(/.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64)))
33.8%
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))))
29.5%
(/.f64 (*.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal -1/2 binary64)) (*.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))) a))
11.9%
(/.f64 (*.f64 (*.f64 c a) (/.f64 #s(literal 1 binary64) a)) b)
30.3%
(/.f64 (*.f64 (*.f64 a c) (/.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 2 binary64) a))
30.1%
(/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) (*.f64 b (*.f64 a #s(literal 2 binary64))))
36.2%
(/.f64 (neg.f64 (*.f64 c (fma.f64 a (/.f64 c (*.f64 b b)) #s(literal 1 binary64)))) b)
✓12.0%
(/.f64 c b)
✓2.5%
(/.f64 b a)
12.0%
(/.f64 #s(literal 1 binary64) (/.f64 b c))
34.6%
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))))))
2.5%
(/.f64 #s(literal 1 binary64) (/.f64 a b))
34.1%
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) a))
33.4%
(-.f64 (/.f64 c b) (/.f64 b a))
2.0%
(*.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (/.f64 a b))
32.6%
(*.f64 (/.f64 (*.f64 a c) (*.f64 a #s(literal 2 binary64))) (/.f64 #s(literal -2 binary64) b))
19.8%
(*.f64 (/.f64 a (-.f64 #s(literal 0 binary64) (fma.f64 a a #s(literal 0 binary64)))) b)
12.0%
(*.f64 (/.f64 #s(literal 1 binary64) b) c)
2.5%
(*.f64 (/.f64 #s(literal 1 binary64) a) b)
19.8%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (fma.f64 (sqrt.f64 (*.f64 c #s(literal -4 binary64))) (sqrt.f64 a) b))
19.0%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (fma.f64 (sqrt.f64 (*.f64 a #s(literal -4 binary64))) (sqrt.f64 c) b))
✓55.5%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
✓50.6%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 (fma.f64 a #s(literal -4 binary64) (/.f64 (*.f64 b b) c)) c))))
28.2%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 b b))))
✓34.5%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))))
17.1%
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 a a #s(literal 0 binary64)))) a) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))))
11.8%
(*.f64 (*.f64 c a) (/.f64 (/.f64 #s(literal 1 binary64) b) a))
33.3%
(*.f64 b (neg.f64 (/.f64 #s(literal 1 binary64) a)))
14.3%
(*.f64 a (*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 c a)))
33.4%
(neg.f64 (/.f64 b a))
Compiler

Compiled 1 536 to 673 computations (56.2% saved)

regimes107.0ms (0.9%)

Memory
-2.3MiB live, 151.6MiB allocated
Counts
70 → 3
Calls
Call 1
Inputs
(/.f64 b a)
(/.f64 c b)
(neg.f64 (/.f64 b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(/.f64 (-.f64 #s(literal 0 binary64) c) b)
(*.f64 (/.f64 #s(literal 1 binary64) a) b)
(*.f64 (/.f64 #s(literal 1 binary64) b) c)
(*.f64 b (neg.f64 (/.f64 #s(literal 1 binary64) a)))
(/.f64 #s(literal 1 binary64) (/.f64 a b))
(/.f64 #s(literal 1 binary64) (/.f64 b c))
(/.f64 (-.f64 (neg.f64 b) (-.f64 #s(literal 0 binary64) b)) (*.f64 #s(literal 2 binary64) a))
(*.f64 (/.f64 a (-.f64 #s(literal 0 binary64) (fma.f64 a a #s(literal 0 binary64)))) b)
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 (/.f64 c a) (/.f64 a b))
(/.f64 (/.f64 (*.f64 a c) b) a)
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) a) b)) (fma.f64 a a #s(literal 0 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 a (/.f64 a b)))
(/.f64 (-.f64 (*.f64 c (/.f64 a b)) b) a)
(/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) (*.f64 b (*.f64 a #s(literal 2 binary64))))
(*.f64 a (*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 c a)))
(*.f64 (*.f64 c a) (/.f64 (/.f64 #s(literal 1 binary64) b) a))
(/.f64 (*.f64 (*.f64 c a) (/.f64 #s(literal 1 binary64) a)) b)
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(fma.f64 (/.f64 #s(literal -1/2 binary64) a) b (/.f64 b (*.f64 a #s(literal -2 binary64))))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 b b))))
(*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a)))
(/.f64 (-.f64 (*.f64 c (*.f64 #s(literal -1 binary64) (/.f64 a b))) b) a)
(*.f64 (fma.f64 c (/.f64 a b) (-.f64 #s(literal 0 binary64) b)) (/.f64 #s(literal 1 binary64) a))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 b b))) (*.f64 #s(literal 2 binary64) a))
(*.f64 (/.f64 (*.f64 a c) (*.f64 a #s(literal 2 binary64))) (/.f64 #s(literal -2 binary64) b))
(*.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (/.f64 a b))
(/.f64 (*.f64 (*.f64 a c) (/.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 2 binary64) a))
(/.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b) (*.f64 #s(literal 2 binary64) a))
(/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b) (*.f64 #s(literal 2 binary64) a))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))))
(/.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (neg.f64 (*.f64 c (fma.f64 a (/.f64 c (*.f64 b b)) #s(literal 1 binary64)))) b)
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) 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 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (fma.f64 (sqrt.f64 (*.f64 a #s(literal -4 binary64))) (sqrt.f64 c) b))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (fma.f64 (sqrt.f64 (*.f64 c #s(literal -4 binary64))) (sqrt.f64 a) b))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) 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 #s(literal 1 binary64) (/.f64 a (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))))))
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 a a #s(literal 0 binary64)))) a) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 (fma.f64 a #s(literal -4 binary64) (/.f64 (*.f64 b b) c)) c))))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) a))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (fma.f64 a #s(literal -4 binary64) (/.f64 (*.f64 b b) c))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 c a))))) (*.f64 #s(literal 2 binary64) a))
(fma.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (/.f64 b (*.f64 a #s(literal -2 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 a b)) (*.f64 (-.f64 #s(literal 0 binary64) a) #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 a b))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) a)))
(/.f64 (*.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal -1/2 binary64)) (*.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))) a))
(/.f64 (fma.f64 (*.f64 b #s(literal -1/2 binary64)) a (*.f64 a (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) #s(literal -1/2 binary64)))) (*.f64 a a))
(fma.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 (*.f64 c #s(literal -4 binary64))) (/.f64 #s(literal -1/2 binary64) a)) (/.f64 (*.f64 b #s(literal -1/2 binary64)) a))
(fma.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 a)) (sqrt.f64 (*.f64 c #s(literal -4 binary64))) (/.f64 (*.f64 b #s(literal -1/2 binary64)) a))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (fma.f64 (sqrt.f64 (fma.f64 a #s(literal -4 binary64) (/.f64 (*.f64 b b) c))) (sqrt.f64 c) b))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 b (*.f64 b (fma.f64 #s(literal -4 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal 1 binary64)))))))
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))))
(/.f64 (-.f64 (neg.f64 b) (*.f64 (sqrt.f64 (fma.f64 a #s(literal -4 binary64) (/.f64 (*.f64 b b) c))) (sqrt.f64 c))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (-.f64 (*.f64 b a) (*.f64 (*.f64 a #s(literal -2 binary64)) (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) #s(literal 1/2 binary64)))) (*.f64 (*.f64 a #s(literal -2 binary64)) a))
(/.f64 (-.f64 (*.f64 (*.f64 b #s(literal -1/2 binary64)) (*.f64 a #s(literal 2 binary64))) (*.f64 a (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) (*.f64 a (*.f64 a #s(literal 2 binary64))))
(/.f64 (fma.f64 b b (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))))
(/.f64 (-.f64 (neg.f64 b) (/.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a))
(-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 a b)) #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 c (exp.f64 (*.f64 (log.f64 (/.f64 b a)) #s(literal -1 binary64)))) b) a)
Outputs
(/.f64 (neg.f64 (*.f64 c (fma.f64 a (/.f64 c (*.f64 b b)) #s(literal 1 binary64)))) 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 (/.f64 c b) (/.f64 b a))
Calls

4 calls:

41.0ms
a
21.0ms
c
20.0ms
(/.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))
20.0ms
b
Results
AccuracySegmentsBranch
62.2%4a
91.7%3b
57.6%2c
80.4%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)

regimes57.0ms (0.5%)

Memory
-18.3MiB live, 25.7MiB allocated
Counts
44 → 3
Calls
Call 1
Inputs
(/.f64 b a)
(/.f64 c b)
(neg.f64 (/.f64 b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(/.f64 (-.f64 #s(literal 0 binary64) c) b)
(*.f64 (/.f64 #s(literal 1 binary64) a) b)
(*.f64 (/.f64 #s(literal 1 binary64) b) c)
(*.f64 b (neg.f64 (/.f64 #s(literal 1 binary64) a)))
(/.f64 #s(literal 1 binary64) (/.f64 a b))
(/.f64 #s(literal 1 binary64) (/.f64 b c))
(/.f64 (-.f64 (neg.f64 b) (-.f64 #s(literal 0 binary64) b)) (*.f64 #s(literal 2 binary64) a))
(*.f64 (/.f64 a (-.f64 #s(literal 0 binary64) (fma.f64 a a #s(literal 0 binary64)))) b)
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 (/.f64 c a) (/.f64 a b))
(/.f64 (/.f64 (*.f64 a c) b) a)
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) a) b)) (fma.f64 a a #s(literal 0 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 a (/.f64 a b)))
(/.f64 (-.f64 (*.f64 c (/.f64 a b)) b) a)
(/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) (*.f64 b (*.f64 a #s(literal 2 binary64))))
(*.f64 a (*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 c a)))
(*.f64 (*.f64 c a) (/.f64 (/.f64 #s(literal 1 binary64) b) a))
(/.f64 (*.f64 (*.f64 c a) (/.f64 #s(literal 1 binary64) a)) b)
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(fma.f64 (/.f64 #s(literal -1/2 binary64) a) b (/.f64 b (*.f64 a #s(literal -2 binary64))))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 b b))))
(*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a)))
(/.f64 (-.f64 (*.f64 c (*.f64 #s(literal -1 binary64) (/.f64 a b))) b) a)
(*.f64 (fma.f64 c (/.f64 a b) (-.f64 #s(literal 0 binary64) b)) (/.f64 #s(literal 1 binary64) a))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 b b))) (*.f64 #s(literal 2 binary64) a))
(*.f64 (/.f64 (*.f64 a c) (*.f64 a #s(literal 2 binary64))) (/.f64 #s(literal -2 binary64) b))
(*.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (/.f64 a b))
(/.f64 (*.f64 (*.f64 a c) (/.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 2 binary64) a))
(/.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b) (*.f64 #s(literal 2 binary64) a))
(/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b) (*.f64 #s(literal 2 binary64) a))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))))
(/.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (neg.f64 (*.f64 c (fma.f64 a (/.f64 c (*.f64 b b)) #s(literal 1 binary64)))) b)
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) 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 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (fma.f64 (sqrt.f64 (*.f64 a #s(literal -4 binary64))) (sqrt.f64 c) b))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (fma.f64 (sqrt.f64 (*.f64 c #s(literal -4 binary64))) (sqrt.f64 a) b))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c)) b)
Outputs
(/.f64 (neg.f64 (*.f64 c (fma.f64 a (/.f64 c (*.f64 b b)) #s(literal 1 binary64)))) b)
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
(-.f64 (/.f64 c b) (/.f64 b a))
Calls

1 calls:

54.0ms
b
Results
AccuracySegmentsBranch
91.5%3b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes16.0ms (0.1%)

Memory
-2.6MiB live, 35.6MiB allocated
Counts
40 → 3
Calls
Call 1
Inputs
(/.f64 b a)
(/.f64 c b)
(neg.f64 (/.f64 b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(/.f64 (-.f64 #s(literal 0 binary64) c) b)
(*.f64 (/.f64 #s(literal 1 binary64) a) b)
(*.f64 (/.f64 #s(literal 1 binary64) b) c)
(*.f64 b (neg.f64 (/.f64 #s(literal 1 binary64) a)))
(/.f64 #s(literal 1 binary64) (/.f64 a b))
(/.f64 #s(literal 1 binary64) (/.f64 b c))
(/.f64 (-.f64 (neg.f64 b) (-.f64 #s(literal 0 binary64) b)) (*.f64 #s(literal 2 binary64) a))
(*.f64 (/.f64 a (-.f64 #s(literal 0 binary64) (fma.f64 a a #s(literal 0 binary64)))) b)
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 (/.f64 c a) (/.f64 a b))
(/.f64 (/.f64 (*.f64 a c) b) a)
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) a) b)) (fma.f64 a a #s(literal 0 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 a (/.f64 a b)))
(/.f64 (-.f64 (*.f64 c (/.f64 a b)) b) a)
(/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) (*.f64 b (*.f64 a #s(literal 2 binary64))))
(*.f64 a (*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 c a)))
(*.f64 (*.f64 c a) (/.f64 (/.f64 #s(literal 1 binary64) b) a))
(/.f64 (*.f64 (*.f64 c a) (/.f64 #s(literal 1 binary64) a)) b)
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(fma.f64 (/.f64 #s(literal -1/2 binary64) a) b (/.f64 b (*.f64 a #s(literal -2 binary64))))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 b b))))
(*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a)))
(/.f64 (-.f64 (*.f64 c (*.f64 #s(literal -1 binary64) (/.f64 a b))) b) a)
(*.f64 (fma.f64 c (/.f64 a b) (-.f64 #s(literal 0 binary64) b)) (/.f64 #s(literal 1 binary64) a))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 b b))) (*.f64 #s(literal 2 binary64) a))
(*.f64 (/.f64 (*.f64 a c) (*.f64 a #s(literal 2 binary64))) (/.f64 #s(literal -2 binary64) b))
(*.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (/.f64 a b))
(/.f64 (*.f64 (*.f64 a c) (/.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 2 binary64) a))
(/.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b) (*.f64 #s(literal 2 binary64) a))
(/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b) (*.f64 #s(literal 2 binary64) a))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))))
(/.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (neg.f64 (*.f64 c (fma.f64 a (/.f64 c (*.f64 b b)) #s(literal 1 binary64)))) b)
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)) b)
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))
Outputs
(/.f64 (neg.f64 (*.f64 c (fma.f64 a (/.f64 c (*.f64 b b)) #s(literal 1 binary64)))) b)
(/.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64)))
(-.f64 (/.f64 c b) (/.f64 b a))
Calls

1 calls:

11.0ms
b
Results
AccuracySegmentsBranch
86.8%3b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes14.0ms (0.1%)

Memory
-2.6MiB live, 36.1MiB allocated
Counts
37 → 3
Calls
Call 1
Inputs
(/.f64 b a)
(/.f64 c b)
(neg.f64 (/.f64 b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(/.f64 (-.f64 #s(literal 0 binary64) c) b)
(*.f64 (/.f64 #s(literal 1 binary64) a) b)
(*.f64 (/.f64 #s(literal 1 binary64) b) c)
(*.f64 b (neg.f64 (/.f64 #s(literal 1 binary64) a)))
(/.f64 #s(literal 1 binary64) (/.f64 a b))
(/.f64 #s(literal 1 binary64) (/.f64 b c))
(/.f64 (-.f64 (neg.f64 b) (-.f64 #s(literal 0 binary64) b)) (*.f64 #s(literal 2 binary64) a))
(*.f64 (/.f64 a (-.f64 #s(literal 0 binary64) (fma.f64 a a #s(literal 0 binary64)))) b)
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 (/.f64 c a) (/.f64 a b))
(/.f64 (/.f64 (*.f64 a c) b) a)
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) a) b)) (fma.f64 a a #s(literal 0 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 a (/.f64 a b)))
(/.f64 (-.f64 (*.f64 c (/.f64 a b)) b) a)
(/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) (*.f64 b (*.f64 a #s(literal 2 binary64))))
(*.f64 a (*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 c a)))
(*.f64 (*.f64 c a) (/.f64 (/.f64 #s(literal 1 binary64) b) a))
(/.f64 (*.f64 (*.f64 c a) (/.f64 #s(literal 1 binary64) a)) b)
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(fma.f64 (/.f64 #s(literal -1/2 binary64) a) b (/.f64 b (*.f64 a #s(literal -2 binary64))))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 b b))))
(*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a)))
(/.f64 (-.f64 (*.f64 c (*.f64 #s(literal -1 binary64) (/.f64 a b))) b) a)
(*.f64 (fma.f64 c (/.f64 a b) (-.f64 #s(literal 0 binary64) b)) (/.f64 #s(literal 1 binary64) a))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 b b))) (*.f64 #s(literal 2 binary64) a))
(*.f64 (/.f64 (*.f64 a c) (*.f64 a #s(literal 2 binary64))) (/.f64 #s(literal -2 binary64) b))
(*.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (/.f64 a b))
(/.f64 (*.f64 (*.f64 a c) (/.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 2 binary64) a))
(/.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b) (*.f64 #s(literal 2 binary64) a))
(/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b) (*.f64 #s(literal 2 binary64) a))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))))
(/.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64)))
Outputs
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(/.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64)))
(-.f64 (/.f64 c b) (/.f64 b a))
Calls

1 calls:

10.0ms
b
Results
AccuracySegmentsBranch
86.6%3b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes13.0ms (0.1%)

Memory
33.9MiB live, 33.9MiB allocated
Counts
36 → 3
Calls
Call 1
Inputs
(/.f64 b a)
(/.f64 c b)
(neg.f64 (/.f64 b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(/.f64 (-.f64 #s(literal 0 binary64) c) b)
(*.f64 (/.f64 #s(literal 1 binary64) a) b)
(*.f64 (/.f64 #s(literal 1 binary64) b) c)
(*.f64 b (neg.f64 (/.f64 #s(literal 1 binary64) a)))
(/.f64 #s(literal 1 binary64) (/.f64 a b))
(/.f64 #s(literal 1 binary64) (/.f64 b c))
(/.f64 (-.f64 (neg.f64 b) (-.f64 #s(literal 0 binary64) b)) (*.f64 #s(literal 2 binary64) a))
(*.f64 (/.f64 a (-.f64 #s(literal 0 binary64) (fma.f64 a a #s(literal 0 binary64)))) b)
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 (/.f64 c a) (/.f64 a b))
(/.f64 (/.f64 (*.f64 a c) b) a)
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) a) b)) (fma.f64 a a #s(literal 0 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 a (/.f64 a b)))
(/.f64 (-.f64 (*.f64 c (/.f64 a b)) b) a)
(/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) (*.f64 b (*.f64 a #s(literal 2 binary64))))
(*.f64 a (*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 c a)))
(*.f64 (*.f64 c a) (/.f64 (/.f64 #s(literal 1 binary64) b) a))
(/.f64 (*.f64 (*.f64 c a) (/.f64 #s(literal 1 binary64) a)) b)
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(fma.f64 (/.f64 #s(literal -1/2 binary64) a) b (/.f64 b (*.f64 a #s(literal -2 binary64))))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 b b))))
(*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a)))
(/.f64 (-.f64 (*.f64 c (*.f64 #s(literal -1 binary64) (/.f64 a b))) b) a)
(*.f64 (fma.f64 c (/.f64 a b) (-.f64 #s(literal 0 binary64) b)) (/.f64 #s(literal 1 binary64) a))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 b b))) (*.f64 #s(literal 2 binary64) a))
(*.f64 (/.f64 (*.f64 a c) (*.f64 a #s(literal 2 binary64))) (/.f64 #s(literal -2 binary64) b))
(*.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (/.f64 a b))
(/.f64 (*.f64 (*.f64 a c) (/.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 2 binary64) a))
(/.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b) (*.f64 #s(literal 2 binary64) a))
(/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b) (*.f64 #s(literal 2 binary64) a))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 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 a (*.f64 c #s(literal -4 binary64))))))
(-.f64 (/.f64 c b) (/.f64 b a))
Calls

1 calls:

10.0ms
b
Results
AccuracySegmentsBranch
86.5%3b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes13.0ms (0.1%)

Memory
-2.8MiB live, 34.5MiB allocated
Counts
35 → 2
Calls
Call 1
Inputs
(/.f64 b a)
(/.f64 c b)
(neg.f64 (/.f64 b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(/.f64 (-.f64 #s(literal 0 binary64) c) b)
(*.f64 (/.f64 #s(literal 1 binary64) a) b)
(*.f64 (/.f64 #s(literal 1 binary64) b) c)
(*.f64 b (neg.f64 (/.f64 #s(literal 1 binary64) a)))
(/.f64 #s(literal 1 binary64) (/.f64 a b))
(/.f64 #s(literal 1 binary64) (/.f64 b c))
(/.f64 (-.f64 (neg.f64 b) (-.f64 #s(literal 0 binary64) b)) (*.f64 #s(literal 2 binary64) a))
(*.f64 (/.f64 a (-.f64 #s(literal 0 binary64) (fma.f64 a a #s(literal 0 binary64)))) b)
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 (/.f64 c a) (/.f64 a b))
(/.f64 (/.f64 (*.f64 a c) b) a)
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) a) b)) (fma.f64 a a #s(literal 0 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 a (/.f64 a b)))
(/.f64 (-.f64 (*.f64 c (/.f64 a b)) b) a)
(/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) (*.f64 b (*.f64 a #s(literal 2 binary64))))
(*.f64 a (*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 c a)))
(*.f64 (*.f64 c a) (/.f64 (/.f64 #s(literal 1 binary64) b) a))
(/.f64 (*.f64 (*.f64 c a) (/.f64 #s(literal 1 binary64) a)) b)
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(fma.f64 (/.f64 #s(literal -1/2 binary64) a) b (/.f64 b (*.f64 a #s(literal -2 binary64))))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 b b))))
(*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a)))
(/.f64 (-.f64 (*.f64 c (*.f64 #s(literal -1 binary64) (/.f64 a b))) b) a)
(*.f64 (fma.f64 c (/.f64 a b) (-.f64 #s(literal 0 binary64) b)) (/.f64 #s(literal 1 binary64) a))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 b b))) (*.f64 #s(literal 2 binary64) a))
(*.f64 (/.f64 (*.f64 a c) (*.f64 a #s(literal 2 binary64))) (/.f64 #s(literal -2 binary64) b))
(*.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (/.f64 a b))
(/.f64 (*.f64 (*.f64 a c) (/.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 2 binary64) a))
(/.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b) (*.f64 #s(literal 2 binary64) a))
(/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b) (*.f64 #s(literal 2 binary64) a))
Outputs
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
Calls

1 calls:

11.0ms
b
Results
AccuracySegmentsBranch
67.1%2b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes18.0ms (0.1%)

Memory
-78.6MiB live, 14.0MiB allocated
Counts
13 → 2
Calls
Call 1
Inputs
(/.f64 b a)
(/.f64 c b)
(neg.f64 (/.f64 b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(/.f64 (-.f64 #s(literal 0 binary64) c) b)
(*.f64 (/.f64 #s(literal 1 binary64) a) b)
(*.f64 (/.f64 #s(literal 1 binary64) b) c)
(*.f64 b (neg.f64 (/.f64 #s(literal 1 binary64) a)))
(/.f64 #s(literal 1 binary64) (/.f64 a b))
(/.f64 #s(literal 1 binary64) (/.f64 b c))
(/.f64 (-.f64 (neg.f64 b) (-.f64 #s(literal 0 binary64) b)) (*.f64 #s(literal 2 binary64) a))
(*.f64 (/.f64 a (-.f64 #s(literal 0 binary64) (fma.f64 a a #s(literal 0 binary64)))) b)
Outputs
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(neg.f64 (/.f64 b a))
Calls

1 calls:

17.0ms
b
Results
AccuracySegmentsBranch
66.8%2b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes7.0ms (0.1%)

Memory
14.2MiB live, 14.2MiB allocated
Counts
4 → 2
Calls
Call 1
Inputs
(/.f64 b a)
(/.f64 c b)
(neg.f64 (/.f64 b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
Outputs
(/.f64 c b)
(neg.f64 (/.f64 b a))
Calls

3 calls:

2.0ms
a
2.0ms
c
2.0ms
b
Results
AccuracySegmentsBranch
33.4%1c
33.4%1a
42.3%2b
Compiler

Compiled 12 to 9 computations (25% saved)

regimes5.0ms (0%)

Memory
15.8MiB live, 15.8MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
(/.f64 b a)
(/.f64 c b)
Outputs
(/.f64 c b)
Calls

3 calls:

2.0ms
b
2.0ms
a
2.0ms
c
Results
AccuracySegmentsBranch
12.0%1a
12.0%1c
12.0%1b
Compiler

Compiled 12 to 9 computations (25% saved)

regimes6.0ms (0%)

Memory
-27.0MiB live, 12.7MiB 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:

3.0ms
c
1.0ms
b
1.0ms
a
Results
AccuracySegmentsBranch
2.5%1a
2.5%1c
2.5%1b
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch46.0ms (0.4%)

Memory
18.8MiB live, 92.2MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
16.0ms
1.6139328898165394e+71
2.953977168908724e+74
24.0ms
-3.985962751941897e-98
-4.013923515835059e-101
Samples
19.0ms223×0valid
6.0ms61×0invalid
3.0ms21×1valid
2.0ms11×2valid
0.0ms1×3valid
Compiler

Compiled 583 to 404 computations (30.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-mult: 7.0ms (34.1% of total)
ival-sub: 5.0ms (24.4% of total)
ival-div: 2.0ms (9.7% of total)
ival-neg: 2.0ms (9.7% of total)
ival-sqrt: 2.0ms (9.7% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch48.0ms (0.4%)

Memory
20.0MiB live, 100.4MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
16.0ms
1.6139328898165394e+71
2.953977168908724e+74
27.0ms
-3.985962751941897e-98
-4.013923515835059e-101
Samples
19.0ms209×0valid
6.0ms64×0invalid
5.0ms37×1valid
2.0ms10×2valid
Compiler

Compiled 551 to 372 computations (32.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-mult: 11.0ms (49.3% of total)
ival-sub: 4.0ms (17.9% of total)
ival-sqrt: 3.0ms (13.4% of total)
ival-div: 2.0ms (9% of total)
ival-neg: 2.0ms (9% of total)
adjust: 1.0ms (4.5% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch70.0ms (0.6%)

Memory
-30.2MiB live, 126.0MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
24.0ms
2.064157186988866e-74
2.4117217296295347e-62
24.0ms
-3.985962751941897e-98
-4.013923515835059e-101
Samples
20.0ms258×0valid
9.0ms84×0invalid
4.0ms20×1valid
2.0ms9×2valid
0.0ms1×3valid
Compiler

Compiled 557 to 394 computations (29.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-mult: 13.0ms (52.2% of total)
ival-sub: 4.0ms (16.1% of total)
ival-div: 3.0ms (12.1% of total)
ival-sqrt: 3.0ms (12.1% of total)
ival-neg: 2.0ms (8% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch72.0ms (0.6%)

Memory
33.0MiB live, 71.9MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
45.0ms
2.064157186988866e-74
2.4117217296295347e-62
21.0ms
-3.74706213298125e-105
-2.757977248060336e-108
Samples
20.0ms251×0valid
7.0ms96×0invalid
4.0ms27×1valid
2.0ms9×2valid
0.0ms1×3valid
Compiler

Compiled 493 to 362 computations (26.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-mult: 9.0ms (41% of total)
ival-sub: 4.0ms (18.2% of total)
ival-div: 3.0ms (13.7% of total)
ival-sqrt: 3.0ms (13.7% of total)
ival-neg: 2.0ms (9.1% of total)
adjust: 1.0ms (4.6% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch57.0ms (0.5%)

Memory
-27.0MiB live, 90.0MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
26.0ms
2.064157186988866e-74
2.4117217296295347e-62
23.0ms
-3.74706213298125e-105
-2.757977248060336e-108
Samples
22.0ms255×0valid
10.0ms105×0invalid
4.0ms26×1valid
1.0ms7×2valid
Compiler

Compiled 493 to 362 computations (26.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-mult: 11.0ms (46.4% of total)
ival-sub: 4.0ms (16.9% of total)
ival-div: 3.0ms (12.7% of total)
ival-sqrt: 3.0ms (12.7% of total)
ival-neg: 2.0ms (8.4% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch34.0ms (0.3%)

Memory
22.0MiB live, 59.9MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
30.0ms
-3.681900417661075e-300
1.5377236914329655e-302
Samples
13.0ms160×0valid
10.0ms102×0invalid
Compiler

Compiled 223 to 160 computations (28.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-mult: 6.0ms (44.6% of total)
ival-sub: 2.0ms (14.9% of total)
ival-div: 2.0ms (14.9% of total)
ival-sqrt: 2.0ms (14.9% of total)
ival-neg: 1.0ms (7.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch33.0ms (0.3%)

Memory
-18.0MiB live, 75.0MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
30.0ms
-5.33314373700679e-286
-2.4068429187882973e-290
Samples
18.0ms128×0valid
7.0ms81×0invalid
Compiler

Compiled 159 to 124 computations (22% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-mult: 9.0ms (48.6% of total)
ival-neg: 4.0ms (21.6% of total)
ival-sub: 2.0ms (10.8% of total)
ival-div: 1.0ms (5.4% of total)
ival-sqrt: 1.0ms (5.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch28.0ms (0.2%)

Memory
12.6MiB live, 51.7MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
25.0ms
-2.0068628474558084e+20
-40281665030891160.0
Samples
7.0ms52×1valid
7.0ms30×2valid
3.0ms42×0valid
1.0ms3×4valid
1.0ms11×0invalid
1.0ms2×5exit
0.0ms1×3valid
Compiler

Compiled 143 to 108 computations (24.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-mult: 5.0ms (32.6% of total)
ival-sub: 4.0ms (26.1% of total)
ival-div: 2.0ms (13% of total)
ival-sqrt: 2.0ms (13% of total)
adjust: 1.0ms (6.5% of total)
ival-neg: 1.0ms (6.5% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

simplify36.0ms (0.3%)

Memory
-11.8MiB live, 27.4MiB allocated
Algorithm
1×egg-herbie
Rules
54×*-commutative_binary64
46×+-commutative_binary64
38×sub-neg_binary64
32×neg-mul-1_binary64
30×neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
084234
1127234
2165234
3196234
4211234
5222234
6227234
7230234
8231234
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 b #s(literal -6002649381481971/153914086704665934422965000391185991426092731525255651046673021110334850669910978950836977558144201721900890587136 binary64)) (/.f64 (neg.f64 (*.f64 c (fma.f64 a (/.f64 c (*.f64 b b)) #s(literal 1 binary64)))) b) (if (<=.f64 b #s(literal 999999999999999943801810948794571024057224129020550531544123892056457216 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 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b #s(literal -1477575232364793/1231312693637327475383720003129487931408741852202045208373384168882678805359287831606695820465153613775207124697088 binary64)) (/.f64 (neg.f64 (*.f64 c (fma.f64 a (/.f64 c (*.f64 b b)) #s(literal 1 binary64)))) b) (if (<=.f64 b #s(literal 400000000000000016752610225684583183596573546656135313257371084722798592 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b #s(literal -88981581376135/2404907604760405225358828131112281116032698930082119547604265954848982041717359046106827774346003151904701415424 binary64)) (/.f64 (neg.f64 (*.f64 c (fma.f64 a (/.f64 c (*.f64 b b)) #s(literal 1 binary64)))) b) (if (<=.f64 b #s(literal 1600709841616659/118571099379011784113736688648896417641748464297615937576404566024103044751294464 binary64)) (/.f64 (+.f64 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 -6403979697655533/10328999512347634358623676688012047497318823171316894051322637426162590488067364778518581413120551325743612687890989973504 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (if (<=.f64 b #s(literal 738214179045777/3885337784451458141838923813647037813284813678104279042503624819477808570410416996352 binary64)) (/.f64 (+.f64 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 -8908762079399835/2582249878086908589655919172003011874329705792829223512830659356540647622016841194629645353280137831435903171972747493376 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (if (<=.f64 b #s(literal 4351578318585633/15541351137805832567355695254588151253139254712417116170014499277911234281641667985408 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 -20240225330731/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (-.f64 (/.f64 c b) (/.f64 b a)))
(if (<=.f64 b #s(literal -1075280317483563/43888992550349509466047490009497674160595141087458656560896015907649579054077383577321405596290902348906277802702976893959665470901957183225792829745965362396915989605680050116284721582335472197132100330098878361532751631431265351922342068003131649698083620772604076718737120590449149488485194416412164096 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (neg.f64 (/.f64 b a)))
(if (<=.f64 b #s(literal -185000000000000000 binary64)) (/.f64 c b) (neg.f64 (/.f64 b a)))
(/.f64 c b)
(/.f64 b a)
Outputs
(if (<=.f64 b #s(literal -6002649381481971/153914086704665934422965000391185991426092731525255651046673021110334850669910978950836977558144201721900890587136 binary64)) (/.f64 (neg.f64 (*.f64 c (fma.f64 a (/.f64 c (*.f64 b b)) #s(literal 1 binary64)))) b) (if (<=.f64 b #s(literal 999999999999999943801810948794571024057224129020550531544123892056457216 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 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b #s(literal -6002649381481971/153914086704665934422965000391185991426092731525255651046673021110334850669910978950836977558144201721900890587136 binary64)) (/.f64 (*.f64 c (fma.f64 a (/.f64 c (*.f64 b b)) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) b)) (if (<=.f64 b #s(literal 999999999999999943801810948794571024057224129020550531544123892056457216 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 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b #s(literal -1477575232364793/1231312693637327475383720003129487931408741852202045208373384168882678805359287831606695820465153613775207124697088 binary64)) (/.f64 (neg.f64 (*.f64 c (fma.f64 a (/.f64 c (*.f64 b b)) #s(literal 1 binary64)))) b) (if (<=.f64 b #s(literal 400000000000000016752610225684583183596573546656135313257371084722798592 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b #s(literal -1477575232364793/1231312693637327475383720003129487931408741852202045208373384168882678805359287831606695820465153613775207124697088 binary64)) (/.f64 (*.f64 c (fma.f64 a (/.f64 c (*.f64 b b)) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) b)) (if (<=.f64 b #s(literal 400000000000000016752610225684583183596573546656135313257371084722798592 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b #s(literal -88981581376135/2404907604760405225358828131112281116032698930082119547604265954848982041717359046106827774346003151904701415424 binary64)) (/.f64 (neg.f64 (*.f64 c (fma.f64 a (/.f64 c (*.f64 b b)) #s(literal 1 binary64)))) b) (if (<=.f64 b #s(literal 1600709841616659/118571099379011784113736688648896417641748464297615937576404566024103044751294464 binary64)) (/.f64 (+.f64 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 -88981581376135/2404907604760405225358828131112281116032698930082119547604265954848982041717359046106827774346003151904701415424 binary64)) (/.f64 (*.f64 c (fma.f64 a (/.f64 c (*.f64 b b)) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) b)) (if (<=.f64 b #s(literal 1600709841616659/118571099379011784113736688648896417641748464297615937576404566024103044751294464 binary64)) (/.f64 (+.f64 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 -6403979697655533/10328999512347634358623676688012047497318823171316894051322637426162590488067364778518581413120551325743612687890989973504 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (if (<=.f64 b #s(literal 738214179045777/3885337784451458141838923813647037813284813678104279042503624819477808570410416996352 binary64)) (/.f64 (+.f64 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 -8908762079399835/2582249878086908589655919172003011874329705792829223512830659356540647622016841194629645353280137831435903171972747493376 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (if (<=.f64 b #s(literal 4351578318585633/15541351137805832567355695254588151253139254712417116170014499277911234281641667985408 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 -20240225330731/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (-.f64 (/.f64 c b) (/.f64 b a)))
(if (<=.f64 b #s(literal -1075280317483563/43888992550349509466047490009497674160595141087458656560896015907649579054077383577321405596290902348906277802702976893959665470901957183225792829745965362396915989605680050116284721582335472197132100330098878361532751631431265351922342068003131649698083620772604076718737120590449149488485194416412164096 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (neg.f64 (/.f64 b a)))
(if (<=.f64 b #s(literal -1075280317483563/43888992550349509466047490009497674160595141087458656560896015907649579054077383577321405596290902348906277802702976893959665470901957183225792829745965362396915989605680050116284721582335472197132100330098878361532751631431265351922342068003131649698083620772604076718737120590449149488485194416412164096 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (-.f64 #s(literal 0 binary64) (/.f64 b a)))
(if (<=.f64 b #s(literal -185000000000000000 binary64)) (/.f64 c b) (neg.f64 (/.f64 b a)))
(if (<=.f64 b #s(literal -185000000000000000 binary64)) (/.f64 c b) (-.f64 #s(literal 0 binary64) (/.f64 b a)))
(/.f64 c b)
(/.f64 b a)

soundness1.0s (8.7%)

Memory
17.6MiB live, 827.1MiB allocated
Rules
9 930×accelerator-lowering-fma.f32
9 930×accelerator-lowering-fma.f64
9 868×accelerator-lowering-fma.f32
9 868×accelerator-lowering-fma.f64
8 244×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038165
1233137
22189137
08403129
01449
17249
258247
0809643
07698989
124948772
083358398
05453114
117183085
257583046
081202886
035185
1235185
22250179
08750168
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 590 to 311 computations (47.3% saved)

preprocess113.0ms (1%)

Memory
45.5MiB live, 270.8MiB allocated
Compiler

Compiled 750 to 250 computations (66.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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