The quadratic formula (r2)

Time bar (total: 13.1s)

analyze138.0ms (1.1%)

Memory
5.3MiB live, 201.1MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
25%25%74.9%0.1%0%0%0%4
37.5%37.4%62.4%0.1%0%0%0%5
37.5%37.4%62.4%0.1%0%0%0%6
40%37.4%56.2%0.1%0%6.2%0%7
48.3%45.2%48.4%0.1%0%6.2%0%8
53%48.4%42.9%0.1%0%8.6%0%9
58.1%50.3%36.3%0.1%0%13.3%0%10
66.1%56.8%29.1%0.1%0%14%0%11
70.4%58.8%24.7%0.1%0%16.4%0%12
Compiler

Compiled 19 to 16 computations (15.8% saved)

sample2.2s (16.8%)

Memory
15.2MiB live, 3 144.8MiB allocated
Samples
603.0ms5 552×0valid
384.0ms1 134×2valid
302.0ms1 344×1valid
151.0ms962×0invalid
55.0ms186×3valid
12.0ms40×4valid
4.0ms12×5exit
Precisions
Click to see histograms. Total time spent on operations: 1.1s
ival-mult: 287.0ms (27.2% of total)
ival-neg: 213.0ms (20.2% of total)
ival-sqrt: 180.0ms (17.1% of total)
ival-sub: 158.0ms (15% of total)
ival-div: 109.0ms (10.3% of total)
adjust: 88.0ms (8.3% of total)
exact: 10.0ms (0.9% of total)
ival-true: 7.0ms (0.7% of total)
ival-assert: 4.0ms (0.4% of total)
Bogosity

preprocess215.0ms (1.6%)

Memory
8.3MiB live, 136.4MiB allocated
Algorithm
egg-herbie
Rules
1 462×div-sub
1 120×accelerator-lowering-fma.f32
1 120×accelerator-lowering-fma.f64
1 118×unsub-neg
918×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

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

explain308.0ms (2.4%)

Memory
-28.4MiB live, 362.2MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1120-1(-9.428454539195115e-217 -3.894601925586503e-158 -2.056191814811865e-136)(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))
710-0-(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))))
110-3(-1.284938164237208e-142 -6856936.697344969 -3.667573586126088e-162)(/.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))
50-0-(-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))
00-0-a
00-0-(*.f64 #s(literal 4 binary64) (*.f64 a c))
00-0-(*.f64 a c)
00-0-#s(literal 4 binary64)
00-0-(*.f64 b b)
00-0-(*.f64 #s(literal 2 binary64) a)
00-0-c
00-0-#s(literal 2 binary64)
00-0-(neg.f64 b)
00-0-b
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
sqrt.f64(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))oflow-rescue1030
(*.f64 b b)overflow92
(*.f64 #s(literal 4 binary64) (*.f64 a c))overflow25
(*.f64 a c)overflow25
(-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))overflow103
-.f64(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))))cancellation710
sqrt.f64(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))uflow-rescue80
(*.f64 b b)underflow44
(*.f64 #s(literal 4 binary64) (*.f64 a c))underflow28
(*.f64 a c)underflow28
(-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))underflow8
/.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/n80
(*.f64 b b)underflow44
(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))))underflow22
(*.f64 #s(literal 4 binary64) (*.f64 a c))underflow28
(*.f64 a c)underflow28
(-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))underflow8
-.f64(-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))nan-rescue50
(*.f64 b b)overflow92
(*.f64 #s(literal 4 binary64) (*.f64 a c))overflow25
(*.f64 a c)overflow25
Confusion
Predicted +Predicted -
+1310
-17108
Precision
0.8851351351351351
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+13100
-170108
Precision?
0.8851351351351351
Recall?
1.0
Freqs
test
numberfreq
0108
1103
243
32
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
52.0ms330×0valid
18.0ms72×2valid
17.0ms92×1valid
5.0ms16×3valid
1.0ms4valid
Compiler

Compiled 184 to 60 computations (67.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 60.0ms
ival-mult: 29.0ms (48.4% of total)
ival-sub: 8.0ms (13.4% of total)
ival-sqrt: 8.0ms (13.4% of total)
ival-div: 6.0ms (10% of total)
ival-neg: 5.0ms (8.4% of total)
adjust: 3.0ms (5% of total)
exact: 1.0ms (1.7% of total)
ival-true: 1.0ms (1.7% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory
2.0MiB live, 2.0MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.9%
(/.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)

simplify89.0ms (0.7%)

Memory
33.9MiB live, 110.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

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

localize60.0ms (0.5%)

Memory
-3.4MiB live, 123.2MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy98.4%
(-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))
accuracy96.6%
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a))
accuracy74.8%
(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))))
accuracy59.4%
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))
Samples
18.0ms165×0valid
9.0ms36×2valid
9.0ms46×1valid
2.0ms3valid
0.0ms4valid
Compiler

Compiled 72 to 16 computations (77.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-mult: 10.0ms (39.2% of total)
ival-sqrt: 5.0ms (19.6% of total)
ival-sub: 4.0ms (15.7% of total)
ival-div: 3.0ms (11.8% of total)
ival-neg: 2.0ms (7.8% of total)
adjust: 1.0ms (3.9% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series24.0ms (0.2%)

Memory
-19.4MiB live, 56.9MiB allocated
Counts
5 → 156
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 (neg b)>
#<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 (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))>
#<alt (+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))>
#<alt b>
#<alt (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))>
#<alt (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))>
#<alt (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))>
#<alt (* -1 b)>
#<alt (* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))>
#<alt (* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))>
#<alt (* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))>
#<alt b>
#<alt (+ b (* -2 (/ (* a c) b)))>
#<alt (+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))>
#<alt (+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))>
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))>
#<alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))>
#<alt b>
#<alt (+ b (* -2 (/ (* a c) b)))>
#<alt (+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))>
#<alt (+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))>
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))>
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))>
#<alt (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))>
Calls

39 calls:

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

rewrite406.0ms (3.1%)

Memory
11.7MiB live, 561.2MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 318×accelerator-lowering-fma.f32
5 318×accelerator-lowering-fma.f64
4 626×*-lowering-*.f32
4 626×*-lowering-*.f64
3 036×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01451
17251
258248
0809644
Stop Event
iter limit
node limit
Counts
5 → 512
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)))))
(neg b)
(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) (neg.f64 (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) (neg.f64 (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 (*.f64 b b)) (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 (*.f64 b b) (-.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 (*.f64 b b)) (*.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 (*.f64 b b) (*.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 (*.f64 b b) (*.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 (*.f64 b b) (*.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 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a a))))))
(-.f64 (/.f64 (/.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a a))) (/.f64 (-.f64 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) (neg.f64 (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) (neg.f64 (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) (neg.f64 (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) (neg.f64 (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) (neg.f64 (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) (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) a) (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (/.f64 b (*.f64 a #s(literal 2 binary64))))
(fma.f64 (neg.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 #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) (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))))
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(-.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
(sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))
(neg.f64 (neg.f64 (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)))) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))
(/.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 1 binary64) (/.f64 (sqrt.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a c) (fma.f64 (*.f64 a c) #s(literal 16 binary64) (*.f64 (*.f64 b b) #s(literal 4 binary64)))))) (sqrt.f64 (fma.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) #s(literal -64 binary64) (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal 4 binary64) (*.f64 a c)))) (sqrt.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c (*.f64 a c))) #s(literal -16 binary64))))))
(/.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) #s(literal -64 binary64) (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))))) (sqrt.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a c) (fma.f64 (*.f64 a c) #s(literal 16 binary64) (*.f64 (*.f64 b b) #s(literal 4 binary64)))))))
(/.f64 (sqrt.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c (*.f64 a c))) #s(literal -16 binary64)))) (sqrt.f64 (fma.f64 b b (*.f64 #s(literal 4 binary64) (*.f64 a c)))))
(/.f64 (sqrt.f64 (fma.f64 #s(literal 64 binary64) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))))) (sqrt.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (fma.f64 b b (*.f64 #s(literal 4 binary64) (*.f64 a c)))))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) #s(literal -64 binary64) (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b)))))))) (neg.f64 (sqrt.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a c) (fma.f64 (*.f64 a c) #s(literal 16 binary64) (*.f64 (*.f64 b b) #s(literal 4 binary64))))))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c (*.f64 a c))) #s(literal -16 binary64))))) (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal 4 binary64) (*.f64 a c))))))
(pow.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) #s(literal 1 binary64))
(pow.f64 (fma.f64 a (*.f64 c (*.f64 (*.f64 a c) #s(literal 16 binary64))) (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))
(*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) #s(literal -64 binary64) (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a c) (fma.f64 (*.f64 a c) #s(literal 16 binary64) (*.f64 (*.f64 b b) #s(literal 4 binary64)))))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) #s(literal -64 binary64) (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a c) (fma.f64 (*.f64 a c) #s(literal 16 binary64) (*.f64 (*.f64 b b) #s(literal 4 binary64))))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) #s(literal -64 binary64) (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a c) (fma.f64 (*.f64 a c) #s(literal 16 binary64) (*.f64 (*.f64 b b) #s(literal 4 binary64))))))))
(*.f64 (sqrt.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.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 (*.f64 b b)) (*.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 (*.f64 b b)) (*.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)))))))

simplify516.0ms (3.9%)

Memory
7.3MiB live, 669.6MiB allocated
Algorithm
egg-herbie
Rules
9 868×accelerator-lowering-fma.f32
9 868×accelerator-lowering-fma.f64
7 984×*-lowering-*.f32
7 984×*-lowering-*.f64
2 264×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05453138
117183109
257583070
081202910
Stop Event
iter limit
node limit
Counts
156 → 156
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))))))
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* (sqrt (* a c)) (sqrt -4))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))
b
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 b)
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
Outputs
(* -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)))
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(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))))))
(neg.f64 (*.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)))))))
(neg.f64 (*.f64 c (fma.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (fma.f64 #s(literal 1/4 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))))))))
(neg.f64 (*.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 (0.7%)

Memory
28.1MiB live, 260.8MiB allocated
Compiler

Compiled 25 170 to 2 235 computations (91.1% saved)

prune117.0ms (0.9%)

Memory
-9.9MiB live, 267.6MiB allocated
Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New65414668
Fresh000
Picked101
Done000
Total65514669
Accuracy
93.0%
Counts
669 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.9%
(fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64))))
32.8%
(fma.f64 b (/.f64 c (*.f64 b b)) (neg.f64 (/.f64 b a)))
24.2%
(/.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))))))))
29.2%
(/.f64 (/.f64 (-.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (*.f64 b b)) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a))
31.3%
(/.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b) (*.f64 #s(literal 2 binary64) a))
19.5%
(/.f64 (-.f64 (/.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a a))) (/.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))))
43.7%
(/.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))
33.5%
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))
37.8%
(/.f64 c (neg.f64 b))
32.6%
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))))
32.6%
(/.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))
50.8%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
33.6%
(neg.f64 (/.f64 b a))
Compiler

Compiled 554 to 322 computations (41.9% saved)

simplify559.0ms (4.3%)

Memory
-1.9MiB live, 259.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))
cost-diff0
(/.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))))))))
cost-diff128
(*.f64 a #s(literal 2 binary64))
cost-diff192
(fma.f64 b b (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))
cost-diff0
(sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))
cost-diff0
(-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))
cost-diff0
(/.f64 a (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
cost-diff384
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))))
cost-diff0
(neg.f64 (/.f64 b a))
cost-diff0
(*.f64 b b)
cost-diff0
(/.f64 c (*.f64 b b))
cost-diff640
(fma.f64 b (/.f64 c (*.f64 b b)) (neg.f64 (/.f64 b a)))
cost-diff0
(/.f64 b a)
cost-diff0
(neg.f64 (/.f64 b a))
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)
cost-diff0
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
Rules
4 292×accelerator-lowering-fma.f32
4 292×accelerator-lowering-fma.f64
2 882×*-lowering-*.f32
2 882×*-lowering-*.f64
1 226×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027281
170277
2157275
3292273
4494273
51042273
62941273
74570273
86126273
97145273
08018257
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(* (/ -1/2 a) (+ b (sqrt (+ (* b b) (* c (* a -4))))))
(/ -1/2 a)
-1/2
a
(+ b (sqrt (+ (* b b) (* c (* a -4)))))
b
(sqrt (+ (* b b) (* c (* a -4))))
(+ (* b b) (* c (* a -4)))
(* c (* a -4))
c
(* a -4)
-4
(neg (/ b a))
(/ b a)
b
a
(+ (* b (/ c (* b b))) (neg (/ b a)))
b
(/ c (* b b))
c
(* b b)
(neg (/ b a))
(/ b a)
a
(/ 1/2 (/ a (- b (sqrt (+ (* b b) (* c (* a -4)))))))
1/2
(/ a (- b (sqrt (+ (* b b) (* c (* a -4))))))
a
(- b (sqrt (+ (* b b) (* c (* a -4)))))
b
(sqrt (+ (* b b) (* c (* a -4))))
(+ (* b b) (* c (* a -4)))
(* c (* a -4))
c
(* a -4)
-4
(/ (+ (* b b) (+ (* b b) (* c (* a -4)))) (* (* a 2) (- b (sqrt (+ (* b b) (* c (* a -4)))))))
(+ (* b b) (+ (* b b) (* c (* a -4))))
b
(+ (* b b) (* c (* a -4)))
(* c (* a -4))
c
(* a -4)
a
-4
(* (* a 2) (- b (sqrt (+ (* b b) (* c (* a -4))))))
(* a 2)
2
(- b (sqrt (+ (* b b) (* c (* a -4)))))
(sqrt (+ (* b b) (* c (* a -4))))
Outputs
(* (/ -1/2 a) (+ b (sqrt (+ (* b b) (* c (* a -4))))))
(/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #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 (+ (* b b) (* c (* a -4)))))
(+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))
b
(sqrt (+ (* b b) (* c (* a -4))))
(sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))
(+ (* b b) (* c (* a -4)))
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))
(* c (* a -4))
(*.f64 c (*.f64 a #s(literal -4 binary64)))
c
(* a -4)
(*.f64 a #s(literal -4 binary64))
-4
#s(literal -4 binary64)
(neg (/ b a))
(/.f64 (neg.f64 b) a)
(/ b a)
(/.f64 b a)
b
a
(+ (* b (/ c (* b b))) (neg (/ b a)))
(-.f64 (/.f64 c b) (/.f64 b a))
b
(/ c (* b b))
(/.f64 c (*.f64 b b))
c
(* b b)
(*.f64 b b)
(neg (/ b a))
(/.f64 (neg.f64 b) a)
(/ b a)
(/.f64 b a)
a
(/ 1/2 (/ a (- b (sqrt (+ (* b b) (* c (* a -4)))))))
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b)) a)
1/2
#s(literal 1/2 binary64)
(/ a (- b (sqrt (+ (* b b) (* c (* a -4))))))
(/.f64 a (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))
a
(- b (sqrt (+ (* b b) (* c (* a -4)))))
(-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))
b
(sqrt (+ (* b b) (* c (* a -4))))
(sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))
(+ (* b b) (* c (* a -4)))
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))
(* c (* a -4))
(*.f64 c (*.f64 a #s(literal -4 binary64)))
c
(* a -4)
(*.f64 a #s(literal -4 binary64))
-4
#s(literal -4 binary64)
(/ (+ (* b b) (+ (* b b) (* c (* a -4)))) (* (* a 2) (- b (sqrt (+ (* b b) (* c (* a -4)))))))
(/.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b (+.f64 b b))) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (+.f64 a a)))
(+ (* b b) (+ (* b b) (* c (* a -4))))
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b (+.f64 b b)))
b
(+ (* b b) (* c (* a -4)))
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))
(* c (* a -4))
(*.f64 c (*.f64 a #s(literal -4 binary64)))
c
(* a -4)
(*.f64 a #s(literal -4 binary64))
a
-4
#s(literal -4 binary64)
(* (* a 2) (- b (sqrt (+ (* b b) (* c (* a -4))))))
(*.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (+.f64 a a))
(* a 2)
(+.f64 a a)
2
#s(literal 2 binary64)
(- b (sqrt (+ (* b b) (* c (* a -4)))))
(-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))
(sqrt (+ (* b b) (* c (* a -4))))
(sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))

localize1.3s (10.1%)

Memory
18.4MiB live, 244.1MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy98.0%
(fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))
accuracy79.2%
(-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))
accuracy70.7%
(/.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))))))))
accuracy59.8%
(sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))
accuracy98.0%
(fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))
accuracy95.3%
(/.f64 a (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
accuracy79.2%
(-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))
accuracy59.8%
(sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))
accuracy100.0%
(*.f64 b b)
accuracy100.0%
(neg.f64 (/.f64 b a))
accuracy90.7%
(fma.f64 b (/.f64 c (*.f64 b b)) (neg.f64 (/.f64 b a)))
accuracy87.3%
(/.f64 c (*.f64 b b))
accuracy100.0%
(/.f64 b a)
accuracy100.0%
(neg.f64 (/.f64 b a))
accuracy98.0%
(fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))
accuracy96.4%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
accuracy74.8%
(+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))
accuracy59.8%
(sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))
Samples
161.0ms4valid
38.0ms77×1valid
36.0ms72×2valid
17.0ms87×0valid
8.0ms12×3valid
1.0ms5exit
Compiler

Compiled 265 to 29 computations (89.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 226.0ms
ival-mult: 173.0ms (76.6% of total)
ival-div: 17.0ms (7.5% of total)
ival-sqrt: 15.0ms (6.6% of total)
ival-add: 10.0ms (4.4% of total)
adjust: 6.0ms (2.7% of total)
ival-sub: 3.0ms (1.3% of total)
ival-neg: 2.0ms (0.9% of total)
exact: 1.0ms (0.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series294.0ms (2.2%)

Memory
2.5MiB live, 114.6MiB allocated
Counts
16 → 468
Calls
Call 1
Inputs
#<alt (* (/ -1/2 a) (+ b (sqrt (+ (* b b) (* c (* a -4))))))>
#<alt (/ -1/2 a)>
#<alt (+ b (sqrt (+ (* b b) (* c (* a -4)))))>
#<alt (sqrt (+ (* b b) (* c (* a -4))))>
#<alt (neg (/ b a))>
#<alt (/ b a)>
#<alt (+ (* b (/ c (* b b))) (neg (/ b a)))>
#<alt (/ c (* b b))>
#<alt (* b b)>
#<alt (/ 1/2 (/ a (- b (sqrt (+ (* b b) (* c (* a -4)))))))>
#<alt (/ a (- b (sqrt (+ (* b b) (* c (* a -4))))))>
#<alt (- b (sqrt (+ (* b b) (* c (* a -4)))))>
#<alt (+ (* b b) (+ (* b b) (* c (* a -4))))>
#<alt (* a 2)>
#<alt (/ (+ (* b b) (+ (* b b) (* c (* a -4)))) (* (* a 2) (- b (sqrt (+ (* b b) (* c (* a -4)))))))>
#<alt (+ (* b b) (* c (* a -4)))>
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)))>
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#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ (- (* -1 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* -1 (/ (* b c) a))) c)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/2 (- (* -1 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* -1 (/ (* b c) a)))) (* 1/2 (/ (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* -1 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* -1 (/ (* b c) a))))))) (* -1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1))))) c))) c)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* -1 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* -1 (/ (* b c) a))))))) (* -1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))) (* 1/2 (/ (+ (* -1/8 (/ (* (pow b 2) (* c (- (* -1 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* -1 (/ (* b c) a))))) a)) (* 1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* -1 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* -1 (/ (* b c) a))))))) (* -1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))))))) c))) c)) (* 1/2 (- (* -1 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* -1 (/ (* b c) a))))) c)))>
#<alt (* 1/2 (/ (pow b 3) (* (pow a 2) c)))>
#<alt (/ (+ (* 1/2 (* a (- (* -2 b) b))) (* 1/2 (/ (pow b 3) c))) (pow a 2))>
#<alt (/ (+ (* 1/2 (/ (pow b 3) c)) (* a (+ (* -1/2 (* a (+ (* 2 (/ c b)) (/ (* c (- (* -2 b) b)) (pow b 2))))) (* 1/2 (- (* -2 b) b))))) (pow a 2))>
#<alt (/ (+ (* 1/2 (/ (pow b 3) c)) (* a (+ (* 1/2 (- (* -2 b) b)) (* a (+ (* -1/2 (* a (+ (* -1 (/ (* c (+ (* 2 (/ c b)) (/ (* c (- (* -2 b) b)) (pow b 2)))) (pow b 2))) (+ (* 1/4 (/ (* (pow b 3) (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) (pow c 2))) (* 2 (/ (* (pow c 2) (- (* -2 b) b)) (pow b 4))))))) (* -1/2 (+ (* 2 (/ c b)) (/ (* c (- (* -2 b) b)) (pow b 2))))))))) (pow a 2))>
#<alt (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))>
#<alt (/ (+ (* 1/2 (/ (- (* -2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2)))) a)) (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4))))) a)>
#<alt (/ (+ (* -1/2 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (- (* -2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (+ (* 1/2 (/ (- (* -2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2)))) a)) (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))))) a)>
#<alt (/ (+ (* -1/2 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (- (* -2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (+ (* -1/2 (/ (+ (* 1/2 (/ (* a (* (pow b 2) (- (* -2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2)))))) (* c (pow (sqrt -4) 2)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ a c)) (/ (* b (- (* -2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow a 3))) (+ (* 1/2 (/ (- (* -2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2)))) a)) (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4))))))) a)>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1 (/ (+ (* 1/2 (/ (- (* -1 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* -1 (* a b))) a)) (* (sqrt (* a c)) (sqrt -1))) a))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (* -1 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* -1 (* a b)))) (* -1/2 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* -1 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* -1 (* a b))))))) (* -1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* (sqrt (* a c)) (sqrt -1))) a))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/8 (/ (* a (* (pow b 2) (- (* -1 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* -1 (* a b))))) c)) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* -1 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* -1 (* a b))))))) (* -1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))))))) a)) (* 1/2 (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* -1 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* -1 (* a b))))))) (* -1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))))) a)) (* -1/2 (- (* -1 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* -1 (* a b))))) a)) (* (sqrt (* a c)) (sqrt -1))) a))>
#<alt (* -4 (* a c))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (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))))>
Calls

117 calls:

TimeVariablePointExpression
139.0ms
c
@-inf
(/ (+ (* b b) (+ (* b b) (* c (* a -4)))) (* (* a 2) (- b (sqrt (+ (* b b) (* c (* a -4)))))))
56.0ms
c
@inf
(+ b (sqrt (+ (* b b) (* c (* a -4)))))
48.0ms
c
@inf
(/ a (- b (sqrt (+ (* b b) (* c (* a -4))))))
6.0ms
b
@-inf
(/ (+ (* b b) (+ (* b b) (* c (* a -4)))) (* (* a 2) (- b (sqrt (+ (* b b) (* c (* a -4)))))))
2.0ms
c
@inf
(/ (+ (* b b) (+ (* b b) (* c (* a -4)))) (* (* a 2) (- b (sqrt (+ (* b b) (* c (* a -4)))))))

rewrite714.0ms (5.4%)

Memory
39.7MiB live, 883.3MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 438×/-lowering-/.f32
5 438×/-lowering-/.f64
4 066×*-lowering-*.f32
4 066×*-lowering-*.f64
3 682×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027164
1160160
21429156
08377146
Stop Event
iter limit
node limit
Counts
16 → 1 040
Calls
Call 1
Inputs
(* (/ -1/2 a) (+ b (sqrt (+ (* b b) (* c (* a -4))))))
(/ -1/2 a)
(+ b (sqrt (+ (* b b) (* c (* a -4)))))
(sqrt (+ (* b b) (* c (* a -4))))
(neg (/ b a))
(/ b a)
(+ (* b (/ c (* b b))) (neg (/ b a)))
(/ c (* b b))
(* b b)
(/ 1/2 (/ a (- b (sqrt (+ (* b b) (* c (* a -4)))))))
(/ a (- b (sqrt (+ (* b b) (* c (* a -4))))))
(- b (sqrt (+ (* b b) (* c (* a -4)))))
(+ (* b b) (+ (* b b) (* c (* a -4))))
(* a 2)
(/ (+ (* b b) (+ (* b b) (* c (* a -4)))) (* (* a 2) (- b (sqrt (+ (* b b) (* c (* a -4)))))))
(+ (* b b) (* c (* a -4)))
Outputs
(+.f64 (/.f64 b (*.f64 a #s(literal -2 binary64))) (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (*.f64 a #s(literal -2 binary64))))
(+.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (*.f64 a #s(literal -2 binary64))) (/.f64 b (*.f64 a #s(literal -2 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 b b) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (*.f64 a #s(literal -2 binary64))) (/.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (*.f64 a #s(literal -2 binary64))))
(-.f64 (/.f64 (*.f64 (/.f64 b (*.f64 a #s(literal -2 binary64))) (/.f64 b (*.f64 a #s(literal -2 binary64)))) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal -2 binary64)))) (/.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (*.f64 a #s(literal -2 binary64))) (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (*.f64 a #s(literal -2 binary64)))) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal -2 binary64)))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (*.f64 a #s(literal -2 binary64))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a) (/.f64 b (*.f64 a #s(literal -2 binary64))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (/.f64 b (*.f64 a #s(literal -2 binary64))))
(fma.f64 (/.f64 #s(literal -1/2 binary64) a) b (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (*.f64 a #s(literal -2 binary64))))
(fma.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (/.f64 b (*.f64 a #s(literal -2 binary64))))
(fma.f64 b (/.f64 #s(literal -1/2 binary64) a) (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (*.f64 a #s(literal -2 binary64))))
(fma.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) a) (/.f64 b (*.f64 a #s(literal -2 binary64))))
(fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (*.f64 a #s(literal -2 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) #s(literal -2 binary64)) (/.f64 b (*.f64 a #s(literal -2 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 b #s(literal -2 binary64)) (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (*.f64 a #s(literal -2 binary64))))
(fma.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a) #s(literal -1/2 binary64) (/.f64 b (*.f64 a #s(literal -2 binary64))))
(fma.f64 (*.f64 b #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) a) (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (*.f64 a #s(literal -2 binary64))))
(fma.f64 (*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) a) (/.f64 b (*.f64 a #s(literal -2 binary64))))
(fma.f64 (/.f64 (pow.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) #s(literal 1/4 binary64)) a) (/.f64 (pow.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) #s(literal 1/4 binary64)) #s(literal -2 binary64)) (/.f64 b (*.f64 a #s(literal -2 binary64))))
(fma.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) a) (/.f64 b (*.f64 a #s(literal -2 binary64))))
(fma.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) a) (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (*.f64 a #s(literal -2 binary64))))
(/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 a (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))))))
(/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) a)
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 b b) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 (neg.f64 a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))))
(/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 b (*.f64 b b) (*.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) (*.f64 a (-.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b (+.f64 b b))) (*.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))))
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 b b) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 a (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 b (*.f64 b b) (*.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) (*.f64 (neg.f64 a) (-.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b (+.f64 b b))) (*.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b b) (*.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) (*.f64 (*.f64 a #s(literal -2 binary64)) (-.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b (+.f64 b b))) (*.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 (*.f64 a #s(literal -2 binary64)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))))
(/.f64 (*.f64 (fma.f64 b (*.f64 b b) (*.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) #s(literal -1/2 binary64)) (*.f64 (-.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b (+.f64 b b))) (*.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) a))
(/.f64 (*.f64 (fma.f64 b (*.f64 b b) (*.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) #s(literal 1/2 binary64)) (*.f64 (-.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b (+.f64 b b))) (*.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (neg.f64 a)))
(/.f64 (*.f64 (fma.f64 b (*.f64 b b) (*.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) #s(literal 1 binary64)) (*.f64 (-.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b (+.f64 b b))) (*.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (*.f64 a #s(literal -2 binary64))))
(/.f64 (*.f64 (-.f64 (*.f64 b b) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) #s(literal -1/2 binary64)) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) a))
(/.f64 (*.f64 (-.f64 (*.f64 b b) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) #s(literal 1/2 binary64)) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (neg.f64 a)))
(/.f64 (*.f64 (-.f64 (*.f64 b b) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) #s(literal 1 binary64)) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal -2 binary64))))
(/.f64 (neg.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (neg.f64 (*.f64 a #s(literal -2 binary64))))
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(pow.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 c (*.f64 c c)) (*.f64 #s(literal -64 binary64) (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)))) #s(literal -1 binary64))
(*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))
(*.f64 (fma.f64 (*.f64 c (*.f64 c c)) (*.f64 #s(literal -64 binary64) (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) (/.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 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))
(*.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))
(*.f64 (pow.f64 (fma.f64 (*.f64 c (*.f64 c c)) (*.f64 #s(literal -64 binary64) (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) #s(literal 1 binary64)) (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 binary64)))
(*.f64 (pow.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) #s(literal 1 binary64)))

simplify394.0ms (3%)

Memory
7.2MiB live, 799.2MiB allocated
Algorithm
egg-herbie
Rules
7 438×*-lowering-*.f32
7 438×*-lowering-*.f64
6 352×accelerator-lowering-fma.f32
6 352×accelerator-lowering-fma.f64
4 080×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
013559526
145049213
082058827
Stop Event
iter limit
node limit
Counts
468 → 468
Calls
Call 1
Inputs
(* -1 (/ b a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))
(* -1 (/ b a))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))
(* -1 (/ c b))
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))
(* -1 (/ b a))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))
(* (sqrt (/ c a)) (sqrt -1))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)))))
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(* (sqrt (* a c)) (sqrt -4))
(+ b (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (+ 1 (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (+ 1 (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))) (* (sqrt (* a c)) (sqrt -4)))
(* 2 b)
(* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* 2 (/ (* a c) b))
(* -1 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))
(* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b))
(* 2 b)
(+ (* -2 (/ (* a c) b)) (* 2 b))
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* 2 b)
(+ (* -2 (/ (* a c) b)) (* 2 b))
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* (sqrt (* a c)) (sqrt -4))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))
b
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 b)
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ 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)
(/ (+ 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 (* 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))
(/ (- (/ (* a c) b) b) a)
(/ (- (/ (* a c) b) b) a)
(/ (- (/ (* a c) b) b) a)
(/ c b)
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
(/ c b)
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(/ c b)
(+ (/ c b) (/ (* a (pow c 2)) (pow b 3)))
(+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b))
(+ (* a (+ (* a (+ (* 1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)) (* 2 (/ (pow c 3) (pow b 5))))) (/ (pow c 2) (pow b 3)))) (/ c b))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* 1/2 (/ b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (/ b a))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (* 1/2 (/ b a)))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* 1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/2 b) (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* -1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* 1/2 (/ b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (+ (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))
(/ c b)
(/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)
(/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b)
(/ b a)
(* -1 (* b (- (/ c (pow b 2)) (/ 1 a))))
(* -1 (* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))
(* -1 (* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a))))
(/ c b)
(* c (+ (/ 1 b) (/ (* a c) (pow b 3))))
(* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))
(* c (+ (* c (+ (* c (+ (* 1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))) (* 2 (/ (pow a 2) (pow b 5))))) (/ a (pow b 3)))) (/ 1 b)))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* 1/2 (/ b (* a c)))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (/ b (* a c))))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (* 1/2 (/ b (* a c)))))))
(* (sqrt (/ c a)) (sqrt -1))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1/2 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 1/2 (/ b a))) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* 1/2 (/ b a))) c)))))
(* 1/2 (/ b c))
(+ (* -1/2 (/ a b)) (* 1/2 (/ b c)))
(+ (* 1/2 (/ b c)) (* a (- (* -1 (* a (+ (* -1/2 (/ c (pow b 3))) (/ c (pow b 3))))) (* 1/2 (/ 1 b)))))
(+ (* 1/2 (/ b c)) (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* c (+ (* -1/2 (/ c (pow b 3))) (/ c (pow b 3)))) (pow b 2))) (+ (* -1 (/ (pow c 2) (pow b 5))) (* 1/8 (/ (* b (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) (pow c 2))))))) (+ (* -1/2 (/ c (pow b 3))) (/ c (pow b 3))))) (* 1/2 (/ 1 b)))))
(* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -4))))
(+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* -1 (/ b (* c (pow (sqrt -4) 2)))))
(- (+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (pow a 2)))) (/ b (* c (pow (sqrt -4) 2))))
(- (+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (pow b 3)) (* (pow c 2) (pow (sqrt -4) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (sqrt -4)))) (pow a 3)))) (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3))) (/ b (* c (pow (sqrt -4) 2))))))
(* 1/2 (* (sqrt (/ a c)) (sqrt -1)))
(+ (* 1/4 (/ b c)) (* 1/2 (* (sqrt (/ a c)) (sqrt -1))))
(+ (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1))))) (* 1/4 (/ (* a b) c))) a)) (* 1/2 (* (sqrt (/ a c)) (sqrt -1))))
(+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/32 (/ (* a (pow b 3)) (pow c 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))))) a)) (* 1/4 (/ (* a b) c))) a)) (* 1/2 (* (sqrt (/ a c)) (sqrt -1))))
(* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -4))))
(+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* -1 (/ b (* c (pow (sqrt -4) 2)))))
(+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* b (- (* -1 (* b (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))))) (/ 1 (* c (pow (sqrt -4) 2))))))
(+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* b (- (* b (- (* b (- (* 1/2 (/ 1 (* a (* (pow c 2) (pow (sqrt -4) 4))))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (sqrt -4))))) (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))))) (/ 1 (* c (pow (sqrt -4) 2))))))
(* 1/2 (/ b c))
(* b (+ (* -1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c))))
(* b (- (+ (* -1 (/ (+ (* -1/2 (* (pow a 2) c)) (* (pow a 2) c)) (pow b 4))) (* 1/2 (/ 1 c))) (* 1/2 (/ a (pow b 2)))))
(* b (- (+ (* -1 (/ (+ (* -1 (* a (* c (+ (* -1/2 (* (pow a 2) c)) (* (pow a 2) c))))) (+ (* -1 (* (pow a 3) (pow c 2))) (* 1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow c 2)))))) (pow b 6))) (* 1/2 (/ 1 c))) (+ (* -1/2 (/ (* (pow a 2) c) (pow b 4))) (+ (* 1/2 (/ a (pow b 2))) (/ (* (pow a 2) c) (pow b 4))))))
(* 1/2 (/ a b))
(* -1 (/ (+ (* -1/2 a) (* -1/2 (/ (* (pow a 2) c) (pow b 2)))) b))
(* -1 (/ (+ (* -1 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (+ (* -1/2 a) (* -1/2 (/ (* (pow a 2) c) (pow b 2))))) b))
(* -1 (/ (+ (* -2 (/ (* (pow a 4) (pow c 3)) (pow b 6))) (+ (* -1 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (+ (* -1/2 a) (+ (* -1/2 (/ (* (pow a 2) c) (pow b 2))) (* -1/2 (/ (* (pow a 4) (pow c 3)) (pow b 6))))))) b))
(* 1/2 (/ b c))
(/ (+ (* -1/2 (/ (* a c) b)) (* 1/2 b)) c)
(/ (+ (* 1/2 b) (* c (- (* -1 (* c (+ (* -1/2 (/ (pow a 2) (pow b 3))) (/ (pow a 2) (pow b 3))))) (* 1/2 (/ a b))))) c)
(/ (+ (* 1/2 b) (* c (- (* c (- (* -1 (* c (+ (* -1 (/ (* a (+ (* -1/2 (/ (pow a 2) (pow b 3))) (/ (pow a 2) (pow b 3)))) (pow b 2))) (+ (* -1 (/ (pow a 3) (pow b 5))) (* 1/8 (/ (* b (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) a)))))) (+ (* -1/2 (/ (pow a 2) (pow b 3))) (/ (pow a 2) (pow b 3))))) (* 1/2 (/ a b))))) c)
(* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -4))))
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* -1 (/ b (pow (sqrt -4) 2)))) c)
(/ (- (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (pow c 2)))) (/ b (pow (sqrt -4) 2))) c)
(/ (- (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1/2 (/ (* (pow b 3) (pow c 2)) (* a (pow (sqrt -4) 4)))) (* (sqrt (/ c a)) (/ (* b (+ (* -1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3))))) (sqrt -4)))) (pow c 3)))) (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3))) (/ b (pow (sqrt -4) 2))))) c)
(* 1/2 (* (sqrt (/ a c)) (sqrt -1)))
(* -1 (/ (+ (* -1/2 (* (sqrt (* a c)) (sqrt -1))) (* -1/4 b)) c))
(* -1 (/ (+ (* -1 (/ (- (+ (* -1/16 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) (* -1/4 (* b c))) c)) (* -1/2 (* (sqrt (* a c)) (sqrt -1)))) c))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/32 (/ (* (pow b 3) c) a)) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))))) c)) (* -1/4 (* b c))) c)) (* -1/2 (* (sqrt (* a c)) (sqrt -1)))) c))
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(- b (* (sqrt (* a c)) (sqrt -4)))
(- (* b (+ 1 (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4)))
(- (* b (+ 1 (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))) (* (sqrt (* a c)) (sqrt -4)))
(* 2 (/ (* a c) b))
(/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) b)
(/ (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (- (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b)
(* 2 b)
(* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 2)))
(* -1 (* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2)))))))
(* -1 (* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* 2 (/ (* a c) b))
(* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b))))
(* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b))))
(* c (- (* c (- (* c (- (* 1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)) (* -4 (/ (pow a 3) (pow b 5))))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b))))
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(* c (- (/ b c) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ b c)) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* 2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (- (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (- (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (- (* -1 (/ (+ b (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* 2 (/ (* a c) b))
(* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b))))
(* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b))))
(* a (- (* a (- (* a (- (* 1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)) (* -4 (/ (pow c 3) (pow b 5))))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b))))
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(* a (- (/ b a) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ b a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* 2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (- (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (- (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (- (* -1 (/ (+ b (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -4 (* a c))
(+ (* -4 (* a c)) (* 2 (pow b 2)))
(+ (* -4 (* a c)) (* 2 (pow b 2)))
(+ (* -4 (* a c)) (* 2 (pow b 2)))
(* 2 (pow b 2))
(* (pow b 2) (+ 2 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 2 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 2 (* -4 (/ (* a c) (pow b 2)))))
(* 2 (pow b 2))
(* (pow b 2) (+ 2 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 2 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 2 (* -4 (/ (* a c) (pow b 2)))))
(* 2 (pow b 2))
(+ (* -4 (* a c)) (* 2 (pow b 2)))
(+ (* -4 (* a c)) (* 2 (pow b 2)))
(+ (* -4 (* a c)) (* 2 (pow b 2)))
(* -4 (* a c))
(* c (+ (* -4 a) (* 2 (/ (pow b 2) c))))
(* c (+ (* -4 a) (* 2 (/ (pow b 2) c))))
(* c (+ (* -4 a) (* 2 (/ (pow b 2) c))))
(* -4 (* a c))
(* -1 (* c (+ (* -2 (/ (pow b 2) c)) (* 4 a))))
(* -1 (* c (+ (* -2 (/ (pow b 2) c)) (* 4 a))))
(* -1 (* c (+ (* -2 (/ (pow b 2) c)) (* 4 a))))
(* 2 (pow b 2))
(+ (* -4 (* a c)) (* 2 (pow b 2)))
(+ (* -4 (* a c)) (* 2 (pow b 2)))
(+ (* -4 (* a c)) (* 2 (pow b 2)))
(* -4 (* a c))
(* a (+ (* -4 c) (* 2 (/ (pow b 2) a))))
(* a (+ (* -4 c) (* 2 (/ (pow b 2) a))))
(* a (+ (* -4 c) (* 2 (/ (pow b 2) a))))
(* -4 (* a c))
(* -1 (* a (+ (* -2 (/ (pow b 2) a)) (* 4 c))))
(* -1 (* a (+ (* -2 (/ (pow b 2) a)) (* 4 c))))
(* -1 (* a (+ (* -2 (/ (pow b 2) a)) (* 4 c))))
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2)))))
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* 1/2 (* b (- (* -2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (+ (* -4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2)))))))
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* b (+ (* -1/2 (* b (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (- (* -2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (+ (* -4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))))) (sqrt -4)))) (* 2 (/ 1 (* (pow a 2) (* c (pow (sqrt -4) 4)))))))) (* 1/2 (- (* -2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (+ (* -4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2)))))))
(* 1/2 (/ (pow b 3) (* (pow a 2) c)))
(* (pow b 3) (- (* 1/2 (/ 1 (* (pow a 2) c))) (* 3/2 (/ 1 (* a (pow b 2))))))
(* (pow b 3) (- (+ (* -1/2 (/ (+ (* -3 c) (* 2 c)) (pow b 4))) (* 1/2 (/ 1 (* (pow a 2) c)))) (/ 3/2 (* a (pow b 2)))))
(* (pow b 3) (- (+ (* -1/2 (/ (+ (* -6 (* a (pow c 2))) (+ (* -1 (* a (* c (+ (* -3 c) (* 2 c))))) (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 3) (pow c 2)))))) (pow b 6))) (+ (* -1/2 (/ (+ (* -3 c) (* 2 c)) (pow b 4))) (* 1/2 (/ 1 (* (pow a 2) c))))) (/ 3/2 (* a (pow b 2)))))
(* 1/2 (/ b a))
(* -1 (* b (- (* -1/2 (/ (- (* -2 c) (* -1 c)) (pow b 2))) (* 1/2 (/ 1 a)))))
(* -1 (* b (- (+ (* -1/2 (/ (- (* -2 c) (* -1 c)) (pow b 2))) (* 1/2 (/ (+ (* -1 (* a (* c (- (* -2 c) (* -1 c))))) (* -1 (* a (pow c 2)))) (pow b 4)))) (* 1/2 (/ 1 a)))))
(* -1 (* b (- (+ (* -1/2 (/ (- (* -2 c) (* -1 c)) (pow b 2))) (+ (* 1/2 (/ (+ (* -2 (* (pow a 2) (pow c 3))) (+ (* -1 (* (pow a 2) (* (pow c 2) (- (* -2 c) (* -1 c))))) (* a (* c (+ (* -1 (* a (* c (- (* -2 c) (* -1 c))))) (* -1 (* a (pow c 2)))))))) (pow b 6))) (* 1/2 (/ (+ (* -1 (* a (* c (- (* -2 c) (* -1 c))))) (* -1 (* a (pow c 2)))) (pow b 4))))) (* 1/2 (/ 1 a)))))
(* 1/2 (/ (pow b 3) (* (pow a 2) c)))
(/ (+ (* 1/2 (* c (- (* -2 (/ b a)) (/ b a)))) (* 1/2 (/ (pow b 3) (pow a 2)))) c)
(/ (+ (* 1/2 (/ (pow b 3) (pow a 2))) (* c (+ (* -1/2 (* c (+ (* 2 (/ 1 b)) (/ (* a (- (* -2 (/ b a)) (/ b a))) (pow b 2))))) (* 1/2 (- (* -2 (/ b a)) (/ b a)))))) c)
(/ (+ (* 1/2 (/ (pow b 3) (pow a 2))) (* c (+ (* 1/2 (- (* -2 (/ b a)) (/ b a))) (* c (+ (* -1/2 (* c (+ (* -1 (/ (* a (+ (* 2 (/ 1 b)) (/ (* a (- (* -2 (/ b a)) (/ b a))) (pow b 2)))) (pow b 2))) (+ (* 1/4 (/ (* (pow b 3) (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (pow a 3))) (* 2 (/ (* (pow a 2) (- (* -2 (/ b a)) (/ b a))) (pow b 4))))))) (* -1/2 (+ (* 2 (/ 1 b)) (/ (* a (- (* -2 (/ b a)) (/ b a))) (pow b 2))))))))) c)
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
(+ (* 1/2 (/ (- (* -2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2))))) c)) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))))
(+ (* -1/2 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (- (* -2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2)))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2))) (+ (* 1/2 (/ (- (* -2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2))))) c)) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))))
(+ (* -1/2 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (- (* -2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2)))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2))) (+ (* -1/2 (/ (+ (* 1/2 (/ (* (pow b 2) (* c (- (* -2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2))))))) (* a (pow (sqrt -4) 2)))) (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ c a)) (/ (* b (- (* -2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2)))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow c 3))) (+ (* 1/2 (/ (- (* -2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2))))) c)) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ (- (* -1 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* -1 (/ (* b c) a))) c)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/2 (- (* -1 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* -1 (/ (* b c) a)))) (* 1/2 (/ (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* -1 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* -1 (/ (* b c) a))))))) (* -1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1))))) c))) c)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* -1 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* -1 (/ (* b c) a))))))) (* -1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))) (* 1/2 (/ (+ (* -1/8 (/ (* (pow b 2) (* c (- (* -1 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* -1 (/ (* b c) a))))) a)) (* 1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* -1 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* -1 (/ (* b c) a))))))) (* -1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))))))) c))) c)) (* 1/2 (- (* -1 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* -1 (/ (* b c) a))))) c)))
(* 1/2 (/ (pow b 3) (* (pow a 2) c)))
(/ (+ (* 1/2 (* a (- (* -2 b) b))) (* 1/2 (/ (pow b 3) c))) (pow a 2))
(/ (+ (* 1/2 (/ (pow b 3) c)) (* a (+ (* -1/2 (* a (+ (* 2 (/ c b)) (/ (* c (- (* -2 b) b)) (pow b 2))))) (* 1/2 (- (* -2 b) b))))) (pow a 2))
(/ (+ (* 1/2 (/ (pow b 3) c)) (* a (+ (* 1/2 (- (* -2 b) b)) (* a (+ (* -1/2 (* a (+ (* -1 (/ (* c (+ (* 2 (/ c b)) (/ (* c (- (* -2 b) b)) (pow b 2)))) (pow b 2))) (+ (* 1/4 (/ (* (pow b 3) (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) (pow c 2))) (* 2 (/ (* (pow c 2) (- (* -2 b) b)) (pow b 4))))))) (* -1/2 (+ (* 2 (/ c b)) (/ (* c (- (* -2 b) b)) (pow b 2))))))))) (pow a 2))
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
(/ (+ (* 1/2 (/ (- (* -2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2)))) a)) (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4))))) a)
(/ (+ (* -1/2 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (- (* -2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (+ (* 1/2 (/ (- (* -2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2)))) a)) (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))))) a)
(/ (+ (* -1/2 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (- (* -2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (+ (* -1/2 (/ (+ (* 1/2 (/ (* a (* (pow b 2) (- (* -2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2)))))) (* c (pow (sqrt -4) 2)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ a c)) (/ (* b (- (* -2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow a 3))) (+ (* 1/2 (/ (- (* -2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2)))) a)) (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4))))))) a)
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (/ (+ (* 1/2 (/ (- (* -1 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* -1 (* a b))) a)) (* (sqrt (* a c)) (sqrt -1))) a))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (* -1 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* -1 (* a b)))) (* -1/2 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* -1 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* -1 (* a b))))))) (* -1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* (sqrt (* a c)) (sqrt -1))) a))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/8 (/ (* a (* (pow b 2) (- (* -1 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* -1 (* a b))))) c)) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* -1 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* -1 (* a b))))))) (* -1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))))))) a)) (* 1/2 (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* -1 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* -1 (* a b))))))) (* -1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))))) a)) (* -1/2 (- (* -1 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* -1 (* a b))))) a)) (* (sqrt (* a c)) (sqrt -1))) a))
(* -4 (* a c))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(pow b 2)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(pow b 2)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(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))))
Outputs
(* -1 (/ b a))
(/.f64 b (neg.f64 a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/.f64 (fma.f64 a (/.f64 c b) (neg.f64 b)) a)
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/.f64 (fma.f64 a (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))) (/.f64 c b)) (neg.f64 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 a (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b)))) (/.f64 c b)) (neg.f64 b)) a)
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))
(+ (* -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 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))))))
(+ (* -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 1/16 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (pow.f64 a #s(literal 5 binary64))))) (pow.f64 b #s(literal 4 binary64))) (*.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))))) (/.f64 (*.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 a) #s(literal -1/2 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 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 b #s(literal 1/2 binary64))) a))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (-.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal -1/128 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c)))))) (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c))))) a)) a))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))
(+ (* -1/2 (* (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 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (/.f64 b (sqrt.f64 #s(literal -4 binary64)))) (/.f64 #s(literal -1/2 binary64) a)) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (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 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (pow.f64 a #s(literal 5 binary64)))))) (/.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64))))) (/.f64 #s(literal -1/2 binary64) a)) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))))
(* -1 (/ b a))
(/.f64 b (neg.f64 a))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a)))
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))
(*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (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 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a a)) (pow.f64 b #s(literal 6 binary64))) (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 4 binary64))) (/.f64 c (*.f64 b b)))) (/.f64 #s(literal -1 binary64) a)))
(* -1 (/ c b))
(/.f64 c (neg.f64 b))
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))
(/.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c) (neg.f64 b))
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))
(/.f64 (+.f64 c (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a a)) (pow.f64 b #s(literal 4 binary64))) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)))) (neg.f64 b))
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))
(/.f64 (+.f64 c (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) #s(literal 20 binary64)) (*.f64 a (pow.f64 b #s(literal 6 binary64)))) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a a)) (pow.f64 b #s(literal 4 binary64))) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))))) (neg.f64 b))
(* -1 (/ b a))
(/.f64 b (neg.f64 a))
(+ (* -1 (/ b a)) (/ c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))
(-.f64 (*.f64 c (fma.f64 a (/.f64 c (*.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 #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 b (neg.f64 a)))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))
(*.f64 c (*.f64 #s(literal -1/2 binary64) (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 #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))) (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 a a)))))))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))
(*.f64 c (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 -1/4 binary64) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 a a)))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 5 binary64))))))))))
(* (sqrt (/ c a)) (sqrt -1))
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))
(*.f64 (-.f64 (/.f64 (*.f64 b #s(literal 1/2 binary64)) (*.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))))) (neg.f64 c))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))
(*.f64 (neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) 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)))))
(neg.f64 (*.f64 c (neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (/.f64 (-.f64 (*.f64 (/.f64 b a) #s(literal -1/2 binary64)) (/.f64 (fma.f64 #s(literal 1/128 binary64) (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (pow.f64 a #s(literal 5 binary64)))))) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c (*.f64 a (*.f64 a a))))))) c)) c)))))
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 a c)))
(+ b (* (sqrt (* a c)) (sqrt -4)))
(fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 a c)) b)
(+ (* b (+ 1 (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4)))
(fma.f64 b (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (/.f64 b (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 a c))))
(+ (* 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)))
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(fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(*.f64 (*.f64 b b) (fma.f64 #s(literal -4 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal 1 binary64)))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(*.f64 (*.f64 b b) (fma.f64 #s(literal -4 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal 1 binary64)))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(*.f64 (*.f64 b b) (fma.f64 #s(literal -4 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal 1 binary64)))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(*.f64 (*.f64 b b) (fma.f64 #s(literal -4 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal 1 binary64)))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(*.f64 (*.f64 b b) (fma.f64 #s(literal -4 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal 1 binary64)))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(*.f64 (*.f64 b b) (fma.f64 #s(literal -4 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal 1 binary64)))
(pow b 2)
(*.f64 b b)
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))
(* -4 (* a c))
(*.f64 (*.f64 a c) #s(literal -4 binary64))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(*.f64 c (fma.f64 a #s(literal -4 binary64) (/.f64 (*.f64 b b) c)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(*.f64 c (fma.f64 a #s(literal -4 binary64) (/.f64 (*.f64 b b) c)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(*.f64 c (fma.f64 a #s(literal -4 binary64) (/.f64 (*.f64 b b) c)))
(* -4 (* a c))
(*.f64 (*.f64 a c) #s(literal -4 binary64))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(*.f64 (neg.f64 c) (-.f64 (*.f64 a #s(literal 4 binary64)) (/.f64 (*.f64 b b) c)))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(*.f64 (neg.f64 c) (-.f64 (*.f64 a #s(literal 4 binary64)) (/.f64 (*.f64 b b) c)))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(*.f64 (neg.f64 c) (-.f64 (*.f64 a #s(literal 4 binary64)) (/.f64 (*.f64 b b) c)))
(pow b 2)
(*.f64 b b)
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))
(* -4 (* a c))
(*.f64 (*.f64 a c) #s(literal -4 binary64))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(*.f64 a (fma.f64 c #s(literal -4 binary64) (/.f64 (*.f64 b b) a)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(*.f64 a (fma.f64 c #s(literal -4 binary64) (/.f64 (*.f64 b b) a)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(*.f64 a (fma.f64 c #s(literal -4 binary64) (/.f64 (*.f64 b b) a)))
(* -4 (* a c))
(*.f64 (*.f64 a c) #s(literal -4 binary64))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(neg.f64 (*.f64 a (-.f64 (*.f64 c #s(literal 4 binary64)) (/.f64 (*.f64 b b) a))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(neg.f64 (*.f64 a (-.f64 (*.f64 c #s(literal 4 binary64)) (/.f64 (*.f64 b b) a))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(neg.f64 (*.f64 a (-.f64 (*.f64 c #s(literal 4 binary64)) (/.f64 (*.f64 b b) a))))

eval285.0ms (2.2%)

Memory
-21.2MiB live, 579.7MiB allocated
Compiler

Compiled 62 972 to 5 118 computations (91.9% saved)

prune516.0ms (3.9%)

Memory
10.6MiB live, 537.5MiB allocated
Pruning

21 alts after pruning (18 fresh and 3 done)

PrunedKeptTotal
New2 061122 073
Fresh369
Picked235
Done000
Total2 066212 087
Accuracy
93.0%
Counts
2 087 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.0%
(fma.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a) #s(literal -1/2 binary64) (/.f64 b (*.f64 a #s(literal -2 binary64))))
32.8%
(fma.f64 b (/.f64 c (*.f64 b b)) (neg.f64 (/.f64 b a)))
31.3%
(/.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b) (*.f64 #s(literal 2 binary64) a))
43.7%
(/.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))
33.5%
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))
49.2%
(/.f64 (*.f64 (*.f64 a c) #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))))))))
37.8%
(/.f64 c (neg.f64 b))
12.8%
(/.f64 c b)
2.5%
(/.f64 b a)
25.8%
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b (sqrt.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64))))))
2.5%
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b (neg.f64 b))))
32.6%
(/.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))
33.5%
(/.f64 #s(literal -1 binary64) (/.f64 a b))
33.4%
(-.f64 (/.f64 c b) (/.f64 b a))
31.2%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (*.f64 (*.f64 a c) #s(literal 2 binary64)) b))
50.8%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
33.5%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64)))))
6.1%
(*.f64 (*.f64 b (*.f64 b b)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 c (*.f64 a a))) (/.f64 #s(literal -3/2 binary64) (*.f64 a (*.f64 b b)))))
33.5%
(*.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) a))
33.6%
(neg.f64 (/.f64 b a))
2.2%
(neg.f64 (*.f64 b (fma.f64 #s(literal -1/2 binary64) (neg.f64 (/.f64 c (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) a))))
Compiler

Compiled 569 to 377 computations (33.7% saved)

simplify172.0ms (1.3%)

Memory
-7.9MiB live, 304.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64)))
cost-diff0
(-.f64 b (sqrt.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64))))
cost-diff0
(/.f64 a (-.f64 b (sqrt.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64)))))
cost-diff384
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b (sqrt.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64))))))
cost-diff0
(*.f64 c #s(literal -2 binary64))
cost-diff0
(*.f64 a (*.f64 c #s(literal -2 binary64)))
cost-diff0
(/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b)
cost-diff1536
(/.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b) (*.f64 #s(literal 2 binary64) a))
cost-diff0
(/.f64 a b)
cost-diff576
(/.f64 #s(literal -1 binary64) (/.f64 a b))
cost-diff0
(/.f64 b a)
cost-diff0
(fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))
cost-diff0
(sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))
cost-diff0
(/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a)
cost-diff0
(fma.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a) #s(literal -1/2 binary64) (/.f64 b (*.f64 a #s(literal -2 binary64))))
Rules
3 926×/-lowering-/.f32
3 926×/-lowering-/.f64
3 800×*-lowering-*.f32
3 800×*-lowering-*.f64
2 512×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033170
164170
2131163
3383162
4913162
52483162
63511162
74962162
08292157
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(+ (* (/ (sqrt (+ (* a (* -4 c)) (* b b))) a) -1/2) (/ b (* a -2)))
(/ (sqrt (+ (* a (* -4 c)) (* b b))) a)
(sqrt (+ (* a (* -4 c)) (* b b)))
(+ (* a (* -4 c)) (* b b))
a
(* -4 c)
-4
c
(* b b)
b
-1/2
(/ b (* a -2))
(* a -2)
-2
(/ b a)
b
a
(/ -1 (/ a b))
-1
(/ a b)
a
b
(/ (/ (* a (* c -2)) b) (* 2 a))
(/ (* a (* c -2)) b)
(* a (* c -2))
a
(* c -2)
c
-2
b
(* 2 a)
2
(/ 1/2 (/ a (- b (sqrt (* (* a c) -4)))))
1/2
(/ a (- b (sqrt (* (* a c) -4))))
a
(- b (sqrt (* (* a c) -4)))
b
(sqrt (* (* a c) -4))
(* (* a c) -4)
(* a c)
c
-4
Outputs
(+ (* (/ (sqrt (+ (* a (* -4 c)) (* b b))) a) -1/2) (/ b (* a -2)))
(fma.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) a) (/.f64 b (*.f64 a #s(literal -2 binary64))))
(/ (sqrt (+ (* a (* -4 c)) (* b b))) a)
(/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a)
(sqrt (+ (* a (* -4 c)) (* b b)))
(sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))
(+ (* a (* -4 c)) (* b b))
(fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))
a
(* -4 c)
(*.f64 #s(literal -4 binary64) c)
-4
#s(literal -4 binary64)
c
(* b b)
(*.f64 b b)
b
-1/2
#s(literal -1/2 binary64)
(/ b (* a -2))
(/.f64 b (*.f64 a #s(literal -2 binary64)))
(* a -2)
(*.f64 a #s(literal -2 binary64))
-2
#s(literal -2 binary64)
(/ b a)
(/.f64 b a)
b
a
(/ -1 (/ a b))
(/.f64 b (neg.f64 a))
-1
#s(literal -1 binary64)
(/ a b)
(/.f64 a b)
a
b
(/ (/ (* a (* c -2)) b) (* 2 a))
(/.f64 c (neg.f64 b))
(/ (* a (* c -2)) b)
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a c)) b)
(* a (* c -2))
(*.f64 #s(literal -2 binary64) (*.f64 a c))
a
(* c -2)
(*.f64 c #s(literal -2 binary64))
c
-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 c) -4)))))
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))) b) a))
1/2
#s(literal 1/2 binary64)
(/ a (- b (sqrt (* (* a c) -4))))
(/.f64 a (-.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)))))
a
(- b (sqrt (* (* a c) -4)))
(-.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))))
b
(sqrt (* (* a c) -4))
(sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)))
(* (* a c) -4)
(*.f64 #s(literal -4 binary64) (*.f64 a c))
(* a c)
(*.f64 a c)
c
-4
#s(literal -4 binary64)

localize104.0ms (0.8%)

Memory
29.4MiB live, 189.0MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(-.f64 b (sqrt.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64))))
accuracy99.9%
(/.f64 a (-.f64 b (sqrt.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64)))))
accuracy99.8%
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b (sqrt.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64))))))
accuracy87.6%
(sqrt.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64)))
accuracy100.0%
(*.f64 a (*.f64 c #s(literal -2 binary64)))
accuracy100.0%
(*.f64 #s(literal 2 binary64) a)
accuracy95.0%
(/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b)
accuracy90.9%
(/.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b) (*.f64 #s(literal 2 binary64) a))
accuracy100.0%
(/.f64 a b)
accuracy99.6%
(/.f64 #s(literal -1 binary64) (/.f64 a b))
accuracy100.0%
(/.f64 b a)
accuracy100.0%
(*.f64 #s(literal -4 binary64) c)
accuracy99.9%
(/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a)
accuracy88.6%
(fma.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a) #s(literal -1/2 binary64) (/.f64 b (*.f64 a #s(literal -2 binary64))))
accuracy77.4%
(sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))
Samples
27.0ms118×0valid
20.0ms97×0invalid
8.0ms23×1valid
8.0ms16×2valid
1.0ms4valid
1.0ms5exit
Compiler

Compiled 167 to 35 computations (79% saved)

Precisions
Click to see histograms. Total time spent on operations: 43.0ms
ival-div: 17.0ms (39.6% of total)
ival-mult: 16.0ms (37.2% of total)
ival-sqrt: 4.0ms (9.3% of total)
ival-add: 3.0ms (7% of total)
adjust: 1.0ms (2.3% of total)
exact: 1.0ms (2.3% of total)
ival-sub: 1.0ms (2.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series36.0ms (0.3%)

Memory
-9.8MiB live, 67.4MiB allocated
Counts
17 → 480
Calls
Call 1
Inputs
#<alt (+ (* (/ (sqrt (+ (* a (* -4 c)) (* b b))) a) -1/2) (/ b (* a -2)))>
#<alt (/ (sqrt (+ (* a (* -4 c)) (* b b))) a)>
#<alt (sqrt (+ (* a (* -4 c)) (* b b)))>
#<alt (+ (* a (* -4 c)) (* b b))>
#<alt (/ b a)>
#<alt (/ -1 (/ a b))>
#<alt (/ a b)>
#<alt (/ (/ (* a (* c -2)) b) (* 2 a))>
#<alt (/ (* a (* c -2)) b)>
#<alt (* a (* c -2))>
#<alt (* c -2)>
#<alt (/ 1/2 (/ a (- b (sqrt (* (* a c) -4)))))>
#<alt (/ a (- b (sqrt (* (* a c) -4))))>
#<alt (- b (sqrt (* (* a c) -4)))>
#<alt (sqrt (* (* a c) -4))>
#<alt (* -4 c)>
#<alt (* 2 a)>
Outputs
#<alt (* -1 (/ b a))>
#<alt (/ (+ (* -1 b) (/ (* a c) b)) a)>
#<alt (/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)>
#<alt (/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)>
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1 (/ 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 (/ b a)>
#<alt (/ (+ b (* -2 (/ (* a c) b))) a)>
#<alt (/ (+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) a)>
#<alt (/ (+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) a)>
#<alt (* (sqrt (/ c a)) (sqrt -4))>
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#<alt (* 1/2 (* (sqrt (/ a c)) (sqrt -1)))>
#<alt (+ (* 1/4 (/ b c)) (* 1/2 (* (sqrt (/ a c)) (sqrt -1))))>
#<alt (+ (* -1 (/ (- (* -1/8 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (/ (* a b) c))) a)) (* 1/2 (* (sqrt (/ a c)) (sqrt -1))))>
#<alt (+ (* -1 (/ (- (* -1 (/ (- (* -1/16 (/ (* a (pow b 3)) (pow c 2))) (* -1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1))))) a)) (* 1/4 (/ (* a b) c))) a)) (* 1/2 (* (sqrt (/ a c)) (sqrt -1))))>
#<alt (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -4))))>
#<alt (+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* -1 (/ b (* c (pow (sqrt -4) 2)))))>
#<alt (+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* b (- (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ b (pow (sqrt -4) 3)))) (/ 1 (* c (pow (sqrt -4) 2))))))>
#<alt (+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* b (- (* b (- (* -1 (/ b (* a (* (pow c 2) (pow (sqrt -4) 4))))) (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))) (/ 1 (* c (pow (sqrt -4) 2))))))>
#<alt (/ a b)>
#<alt (/ (+ a (* (sqrt (* (pow a 3) c)) (/ (sqrt -4) b))) b)>
#<alt (/ (- (+ a (/ (* (pow a 2) (* c (pow (sqrt -4) 2))) (pow b 2))) (* -1 (* (sqrt (* (pow a 3) c)) (/ (sqrt -4) b)))) b)>
#<alt (/ (- (+ a (* (sqrt (* (pow a 5) (pow c 3))) (/ (pow (sqrt -4) 3) (pow b 3)))) (+ (* -1 (* (sqrt (* (pow a 3) c)) (/ (sqrt -4) b))) (* -1 (/ (* (pow a 2) (* c (pow (sqrt -4) 2))) (pow b 2))))) b)>
#<alt (/ a b)>
#<alt (* -1 (/ (+ (* -1 a) (* -1 (* (sqrt (* (pow a 3) c)) (/ (sqrt -4) b)))) b))>
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* (sqrt (* (pow a 3) c)) (sqrt -4)) (/ (* (pow a 2) (* c (pow (sqrt -4) 2))) b)) b))) b))>
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (sqrt (* (pow a 5) (pow c 3))) (/ (pow (sqrt -4) 3) b))) (* -1 (* (pow a 2) (* c (pow (sqrt -4) 2))))) b)) (* (sqrt (* (pow a 3) c)) (sqrt -4))) b))) b))>
#<alt (/ a (- b (* (sqrt (* a c)) (sqrt -4))))>
#<alt (/ a (- b (* (sqrt (* a c)) (sqrt -4))))>
#<alt (/ a (- b (* (sqrt (* a c)) (sqrt -4))))>
#<alt (/ a (- b (* (sqrt (* a c)) (sqrt -4))))>
#<alt (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -4))))>
#<alt (/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* -1 (/ b (pow (sqrt -4) 2)))) c)>
#<alt (/ (- (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3))))) (/ b (pow (sqrt -4) 2))) c)>
#<alt (/ (- (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* -1 (/ (pow b 3) (* a (* c (pow (sqrt -4) 4)))))) (+ (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3))) (/ b (pow (sqrt -4) 2)))) c)>
#<alt (* 1/2 (* (sqrt (/ a c)) (sqrt -1)))>
#<alt (* -1 (/ (+ (* -1/2 (* (sqrt (* a c)) (sqrt -1))) (* -1/4 b)) c))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* 1/8 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1)))) (* -1/4 (* b c))) c)) (* -1/2 (* (sqrt (* a c)) (sqrt -1)))) c))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ (* (pow b 3) c) a)) (* 1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1))))) c)) (* -1/4 (* b c))) c)) (* -1/2 (* (sqrt (* a c)) (sqrt -1)))) c))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -4)))>
#<alt (- b (* (sqrt (* a c)) (sqrt -4)))>
#<alt (- b (* (sqrt (* a c)) (sqrt -4)))>
#<alt (- b (* (sqrt (* a c)) (sqrt -4)))>
#<alt b>
#<alt (* b (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b)))))>
#<alt (* b (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b)))))>
#<alt (* b (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b)))))>
#<alt b>
#<alt (* -1 (* b (- (* (sqrt (* a c)) (/ (sqrt -4) b)) 1)))>
#<alt (* -1 (* b (- (* (sqrt (* a c)) (/ (sqrt -4) b)) 1)))>
#<alt (* -1 (* b (- (* (sqrt (* a c)) (/ (sqrt -4) b)) 1)))>
#<alt (- b (* (sqrt (* a c)) (sqrt -4)))>
#<alt (- b (* (sqrt (* a c)) (sqrt -4)))>
#<alt (- b (* (sqrt (* a c)) (sqrt -4)))>
#<alt (- b (* (sqrt (* a c)) (sqrt -4)))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -4)))>
#<alt (* a (- (/ b a) (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (* a (- (/ b a) (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (* a (- (/ b a) (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (* 2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* a (- (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -1 (* a (- (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -1 (* a (- (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (- b (* (sqrt (* a c)) (sqrt -4)))>
#<alt (- b (* (sqrt (* a c)) (sqrt -4)))>
#<alt (- b (* (sqrt (* a c)) (sqrt -4)))>
#<alt (- b (* (sqrt (* a c)) (sqrt -4)))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -4)))>
#<alt (* c (- (/ b c) (* (sqrt (/ a c)) (sqrt -4))))>
#<alt (* c (- (/ b c) (* (sqrt (/ a c)) (sqrt -4))))>
#<alt (* c (- (/ b c) (* (sqrt (/ a c)) (sqrt -4))))>
#<alt (* 2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* c (- (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -1 (* c (- (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -1 (* c (- (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* (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 (* -4 c)>
#<alt (* -4 c)>
#<alt (* -4 c)>
#<alt (* -4 c)>
#<alt (* -4 c)>
#<alt (* -4 c)>
#<alt (* -4 c)>
#<alt (* -4 c)>
#<alt (* -4 c)>
#<alt (* -4 c)>
#<alt (* -4 c)>
#<alt (* -4 c)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
Calls

120 calls:

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

rewrite79.0ms (0.6%)

Memory
17.5MiB live, 135.5MiB allocated
Algorithm
batch-egg-rewrite
Rules
912×*-lowering-*.f32
912×*-lowering-*.f64
772×/-lowering-/.f32
772×/-lowering-/.f64
700×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033130
1160129
01314121
Stop Event
iter limit
iter limit
node limit
Counts
17 → 273
Calls
Call 1
Inputs
(+ (* (/ (sqrt (+ (* a (* -4 c)) (* b b))) a) -1/2) (/ b (* a -2)))
(/ (sqrt (+ (* a (* -4 c)) (* b b))) a)
(sqrt (+ (* a (* -4 c)) (* b b)))
(+ (* a (* -4 c)) (* b b))
(/ b a)
(/ -1 (/ a b))
(/ a b)
(/ (/ (* a (* c -2)) b) (* 2 a))
(/ (* a (* c -2)) b)
(* a (* c -2))
(* c -2)
(/ 1/2 (/ a (- b (sqrt (* (* a c) -4)))))
(/ a (- b (sqrt (* (* a c) -4))))
(- b (sqrt (* (* a c) -4)))
(sqrt (* (* a c) -4))
(* -4 c)
(* 2 a)
Outputs
(+.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) a)) (*.f64 b (/.f64 #s(literal -1/2 binary64) a)))
(+.f64 (*.f64 b (/.f64 #s(literal -1/2 binary64) a)) (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) a)))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal -1/2 binary64))) (*.f64 a a)) (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) a)) (*.f64 b (/.f64 #s(literal -1/2 binary64) a)))) (/.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -2 binary64)) (*.f64 a #s(literal -2 binary64)))) (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) a)) (*.f64 b (/.f64 #s(literal -1/2 binary64) a)))))
(fma.f64 b (/.f64 #s(literal -1/2 binary64) a) (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) a)))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) a) (*.f64 b (/.f64 #s(literal -1/2 binary64) a)))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -1/2 binary64)) (*.f64 b (/.f64 #s(literal -1/2 binary64) a)))
(fma.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) a) #s(literal -1/2 binary64) (*.f64 b (/.f64 #s(literal -1/2 binary64) a)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) a) (*.f64 b (/.f64 #s(literal -1/2 binary64) a)))
(fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) a)))
(fma.f64 (neg.f64 b) (/.f64 #s(literal 1/2 binary64) a) (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) a)))
(fma.f64 #s(literal 1 binary64) (*.f64 b (/.f64 #s(literal -1/2 binary64) a)) (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) a)))
(fma.f64 (/.f64 #s(literal -1/2 binary64) a) b (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) a)))
(fma.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) a) (*.f64 b (/.f64 #s(literal -1/2 binary64) a)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 b (/.f64 #s(literal -1/2 binary64) a)) (-.f64 (*.f64 b (/.f64 #s(literal -1/2 binary64) a)) (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) a))) (/.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal -1/2 binary64))) (*.f64 a a))) (fma.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) a)) (/.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal -1/2 binary64))) (*.f64 a a)) (*.f64 (*.f64 b (/.f64 #s(literal -1/2 binary64) a)) (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -2 binary64)) (*.f64 a #s(literal -2 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) a)) (*.f64 b (/.f64 #s(literal -1/2 binary64) a))) (-.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal -1/2 binary64))) (*.f64 a a)) (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -2 binary64)) (*.f64 a #s(literal -2 binary64)))))))
(/.f64 (fma.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) a)) (/.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal -1/2 binary64))) (*.f64 a a)) (*.f64 (*.f64 b (/.f64 #s(literal -1/2 binary64) a)) (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -2 binary64)) (*.f64 a #s(literal -2 binary64)))))) (fma.f64 (*.f64 b (/.f64 #s(literal -1/2 binary64) a)) (-.f64 (*.f64 b (/.f64 #s(literal -1/2 binary64) a)) (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) a))) (/.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal -1/2 binary64))) (*.f64 a a))))
(/.f64 (fma.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) a)) (/.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal -1/2 binary64))) (*.f64 a a)) (*.f64 (*.f64 b (/.f64 #s(literal -1/2 binary64) a)) (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -2 binary64)) (*.f64 a #s(literal -2 binary64)))))) (+.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -2 binary64)) (*.f64 a #s(literal -2 binary64)))) (-.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal -1/2 binary64))) (*.f64 a a)) (/.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal -1/2 binary64)) b) (*.f64 a (*.f64 a #s(literal -2 binary64)))))))
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal -1/2 binary64))) (*.f64 a a)) (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -2 binary64)) (*.f64 a #s(literal -2 binary64))))) (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) a)) (*.f64 b (/.f64 #s(literal -1/2 binary64) a))))
(/.f64 (fma.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal -1/2 binary64)) (*.f64 a #s(literal -2 binary64)) (*.f64 a b)) (*.f64 a (*.f64 a #s(literal -2 binary64))))
(/.f64 (fma.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal -1/2 binary64)) #s(literal -2 binary64) (*.f64 a (/.f64 b a))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (fma.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal -1/2 binary64)) (*.f64 a #s(literal 2 binary64)) (*.f64 a (neg.f64 b))) (*.f64 a (*.f64 a #s(literal 2 binary64))))
(/.f64 (fma.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal -1/2 binary64)) (/.f64 (*.f64 a #s(literal -2 binary64)) b) (*.f64 a #s(literal 1 binary64))) (*.f64 a (/.f64 (*.f64 a #s(literal -2 binary64)) b)))
(/.f64 (fma.f64 b a (*.f64 (*.f64 a #s(literal -2 binary64)) (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal -1/2 binary64)))) (*.f64 (*.f64 a #s(literal -2 binary64)) a))
(/.f64 (fma.f64 (/.f64 b a) a (*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal -1/2 binary64)))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (fma.f64 (neg.f64 b) a (*.f64 (*.f64 a #s(literal 2 binary64)) (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal -1/2 binary64)))) (*.f64 (*.f64 a #s(literal 2 binary64)) a))
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(*.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal 2 binary64)) b) (/.f64 #s(literal -1/2 binary64) a))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 a (*.f64 #s(literal 2 binary64) b))))
(*.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) b)) (/.f64 #s(literal 1 binary64) a))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b))
(*.f64 (/.f64 a a) (/.f64 (/.f64 (*.f64 c #s(literal -2 binary64)) b) #s(literal 2 binary64)))
(*.f64 (/.f64 a (*.f64 a #s(literal 2 binary64))) (/.f64 (*.f64 c #s(literal -2 binary64)) b))
(*.f64 (/.f64 (*.f64 c #s(literal -2 binary64)) (*.f64 a #s(literal 2 binary64))) (/.f64 a b))
(*.f64 (/.f64 (*.f64 a c) (*.f64 a #s(literal 2 binary64))) (/.f64 #s(literal -2 binary64) b))
(*.f64 (/.f64 a #s(literal 2 binary64)) (/.f64 (/.f64 (*.f64 c #s(literal -2 binary64)) b) a))
(*.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) a) (/.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 2 binary64)))
(*.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) b) a))
(neg.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal 2 binary64)) b))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 b (*.f64 a (*.f64 c #s(literal -2 binary64))))))
(/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b)
(/.f64 (*.f64 (*.f64 a c) #s(literal 2 binary64)) (neg.f64 b))
(/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 a (*.f64 c #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b (*.f64 a (*.f64 c #s(literal -2 binary64)))) #s(literal 1 binary64)))
(/.f64 (*.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) #s(literal 1 binary64)) b)
(/.f64 (neg.f64 (*.f64 (*.f64 a c) #s(literal 2 binary64))) (neg.f64 (neg.f64 b)))
(pow.f64 (/.f64 b (*.f64 a (*.f64 c #s(literal -2 binary64)))) #s(literal -1 binary64))
(*.f64 a (/.f64 (*.f64 c #s(literal -2 binary64)) b))
(*.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a b))
(*.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) b))
(*.f64 (*.f64 a c) (/.f64 #s(literal -2 binary64) b))
(*.f64 (*.f64 a c) (*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) b)))
(*.f64 (*.f64 (*.f64 a c) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 b)))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b))
(*.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 a (*.f64 c #s(literal -2 binary64))))
(*.f64 (/.f64 (*.f64 c #s(literal -2 binary64)) b) a)
(*.f64 a (*.f64 c #s(literal -2 binary64)))
(*.f64 c (*.f64 a #s(literal -2 binary64)))
(*.f64 #s(literal -2 binary64) (*.f64 a c))
(*.f64 (*.f64 a #s(literal -2 binary64)) c)
(*.f64 (*.f64 c #s(literal -2 binary64)) a)
(*.f64 (*.f64 a c) #s(literal -2 binary64))
(*.f64 c #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) c)
(+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) b) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (neg.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))))))
(+.f64 (*.f64 b (/.f64 #s(literal 1/2 binary64) a)) (*.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)))) (/.f64 #s(literal 1/2 binary64) a)))
(fma.f64 b (/.f64 #s(literal 1/2 binary64) a) (*.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)))) (/.f64 #s(literal 1/2 binary64) a)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) a) b (*.f64 (/.f64 #s(literal 1/2 binary64) a) (neg.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))))))
(neg.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 a (-.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)))))))
(/.f64 #s(literal -1/2 binary64) (/.f64 (neg.f64 a) (-.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 a (*.f64 #s(literal 1/2 binary64) (-.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))))))))
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))))))
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 #s(literal 1/2 binary64) (-.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a (*.f64 #s(literal 1/2 binary64) (-.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)))))) #s(literal 1 binary64)))
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)))))) (*.f64 a (fma.f64 b b (fma.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))) (*.f64 #s(literal -4 binary64) (*.f64 a c))))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) (*.f64 a (+.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))))))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)))))) (fma.f64 b b (fma.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) (+.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))))) a)
(pow.f64 (/.f64 a (*.f64 #s(literal 1/2 binary64) (-.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)))))) #s(literal -1 binary64))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a) (-.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)))))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)))) a))
(*.f64 (-.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)))) (/.f64 #s(literal 1/2 binary64) a))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)))) a)))
(*.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)))) a) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (neg.f64 a)) (neg.f64 (-.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))))))
(neg.f64 (/.f64 (neg.f64 a) (-.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))))))
(/.f64 a (-.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)))) a)))
(/.f64 (neg.f64 a) (neg.f64 (-.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)))) a))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)))) a) #s(literal 1 binary64)))
(/.f64 (*.f64 a #s(literal 1 binary64)) (-.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)))))
(/.f64 (neg.f64 (neg.f64 a)) (neg.f64 (neg.f64 (-.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)))))))
(pow.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)))) a) #s(literal -1 binary64))
(*.f64 a (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))))))
(*.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)))))))
(*.f64 #s(literal 1 binary64) (/.f64 a (-.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))))) a)
(*.f64 (/.f64 a (-.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)))))) (fma.f64 b b (fma.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))
(*.f64 (/.f64 a (-.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) (+.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)))))
(+.f64 b (neg.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)))))
(+.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)))) b)
(-.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))))
(-.f64 (/.f64 (*.f64 b (*.f64 b b)) (fma.f64 b b (fma.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) (/.f64 (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)))) (fma.f64 b b (fma.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))) (*.f64 #s(literal -4 binary64) (*.f64 a c))))))
(-.f64 (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))))) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (+.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))))))
(fma.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))) b)
(fma.f64 (sqrt.f64 (*.f64 a c)) (neg.f64 (sqrt.f64 #s(literal -4 binary64))) b)
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 a c))) (sqrt.f64 #s(literal -4 binary64)) b)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b (fma.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) (-.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)))) (-.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))
(/.f64 (-.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))))) (fma.f64 b b (fma.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))
(/.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))) (+.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)))))
(/.f64 (neg.f64 (-.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)))))) (neg.f64 (fma.f64 b b (fma.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))) (*.f64 #s(literal -4 binary64) (*.f64 a c))))))
(/.f64 (neg.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) (neg.f64 (+.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))))))
(/.f64 (fma.f64 b (*.f64 b b) (pow.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)))) #s(literal 3 binary64))) (fma.f64 b b (-.f64 (*.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)))) (neg.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))))) (*.f64 b (neg.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))))))))
(/.f64 (-.f64 (*.f64 b b) (*.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)))) (neg.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)))))) (-.f64 b (neg.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))))))
(*.f64 (-.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))))) (/.f64 #s(literal 1 binary64) (fma.f64 b b (fma.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))) (*.f64 #s(literal -4 binary64) (*.f64 a c))))))
(*.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))) #s(literal 1/2 binary64)))
(sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)))
(pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) #s(literal 1/2 binary64))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 a c)))
(*.f64 (pow.f64 a #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal -4 binary64) c) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal -4 binary64) c) #s(literal 1/2 binary64)) (pow.f64 a #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 a #s(literal -4 binary64)) #s(literal 1/2 binary64)) (pow.f64 c #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 #s(literal -4 binary64) c)))
(*.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) c)) (sqrt.f64 a))
(*.f64 (sqrt.f64 (*.f64 a #s(literal -4 binary64))) (sqrt.f64 c))
(*.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) #s(literal 1/4 binary64)))
(*.f64 #s(literal -4 binary64) c)
(*.f64 c #s(literal -4 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 a #s(literal -2 binary64)))
(neg.f64 (*.f64 a #s(literal -2 binary64)))
(*.f64 a #s(literal 2 binary64))
(*.f64 #s(literal -2 binary64) (neg.f64 a))
(*.f64 #s(literal -1 binary64) (*.f64 a #s(literal -2 binary64)))
(*.f64 #s(literal 2 binary64) a)
(*.f64 (neg.f64 a) #s(literal -2 binary64))

simplify452.0ms (3.4%)

Memory
-18.4MiB live, 648.5MiB allocated
Algorithm
egg-herbie
Rules
9 862×accelerator-lowering-fma.f32
9 862×accelerator-lowering-fma.f64
7 534×*-lowering-*.f32
7 534×*-lowering-*.f64
3 600×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06966191
122296050
274636038
080485832
Stop Event
iter limit
node limit
Counts
480 → 480
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))
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b
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(pow b 2)
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(pow b 2)
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(pow b 2)
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(* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -4))))
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(/ a b)
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(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* (sqrt (* (pow a 3) c)) (sqrt -4)) (/ (* (pow a 2) (* c (pow (sqrt -4) 2))) b)) b))) b))
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (sqrt (* (pow a 5) (pow c 3))) (/ (pow (sqrt -4) 3) b))) (* -1 (* (pow a 2) (* c (pow (sqrt -4) 2))))) b)) (* (sqrt (* (pow a 3) c)) (sqrt -4))) b))) b))
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(* 1/2 (* (sqrt (/ a c)) (sqrt -1)))
(* -1 (/ (+ (* -1/2 (* (sqrt (* a c)) (sqrt -1))) (* -1/4 b)) c))
(* -1 (/ (+ (* -1 (/ (- (* 1/8 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1)))) (* -1/4 (* b c))) c)) (* -1/2 (* (sqrt (* a c)) (sqrt -1)))) c))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ (* (pow b 3) c) a)) (* 1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1))))) c)) (* -1/4 (* b c))) c)) (* -1/2 (* (sqrt (* a c)) (sqrt -1)))) c))
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(- b (* (sqrt (* a c)) (sqrt -4)))
(- b (* (sqrt (* a c)) (sqrt -4)))
(- b (* (sqrt (* a c)) (sqrt -4)))
b
(* b (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b)))))
(* b (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b)))))
(* b (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b)))))
b
(* -1 (* b (- (* (sqrt (* a c)) (/ (sqrt -4) b)) 1)))
(* -1 (* b (- (* (sqrt (* a c)) (/ (sqrt -4) b)) 1)))
(* -1 (* b (- (* (sqrt (* a c)) (/ (sqrt -4) b)) 1)))
(- b (* (sqrt (* a c)) (sqrt -4)))
(- b (* (sqrt (* a c)) (sqrt -4)))
(- b (* (sqrt (* a c)) (sqrt -4)))
(- b (* (sqrt (* a c)) (sqrt -4)))
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(* a (- (/ b a) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (/ b a) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (/ b a) (* (sqrt (/ c a)) (sqrt -4))))
(* 2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (- (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (- (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (- (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(- b (* (sqrt (* a c)) (sqrt -4)))
(- b (* (sqrt (* a c)) (sqrt -4)))
(- b (* (sqrt (* a c)) (sqrt -4)))
(- b (* (sqrt (* a c)) (sqrt -4)))
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(* c (- (/ b c) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (/ b c) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (/ b c) (* (sqrt (/ a c)) (sqrt -4))))
(* 2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (- (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (- (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (- (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -4 c)
(* -4 c)
(* -4 c)
(* -4 c)
(* -4 c)
(* -4 c)
(* -4 c)
(* -4 c)
(* -4 c)
(* -4 c)
(* -4 c)
(* -4 c)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
Outputs
(* -1 (/ b a))
(/.f64 b (neg.f64 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 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))) (/.f64 c b)) (neg.f64 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)) (neg.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)))
(+ (* -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 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c)))))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))
(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 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (pow.f64 a #s(literal 5 binary64))))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64))))) (*.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c)))))) (/.f64 (*.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 (/.f64 b a) #s(literal -1/2 binary64) (*.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 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (*.f64 b #s(literal 1/2 binary64))) a))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (-.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) #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 (/ b a))
(/.f64 b (neg.f64 a))
(+ (* -1 (/ b a)) (/ c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))
(fma.f64 c (fma.f64 a (/.f64 c (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) b)) (/.f64 b (neg.f64 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 b (neg.f64 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 #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))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c c) (*.f64 a (*.f64 a (*.f64 a c)))))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) #s(literal -1/4 binary64)))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))
(*.f64 c (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 (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)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c c) (*.f64 a (*.f64 a (*.f64 a c)))))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) #s(literal -1/4 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 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 b (*.f64 a c)))) (neg.f64 c))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))
(neg.f64 (*.f64 c (neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (/.f64 (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c))))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/8 binary64)))) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)))))
(neg.f64 (*.f64 c (neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) b) a) (/.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 (pow.f64 a #s(literal 5 binary64))))) #s(literal 1/128 binary64)) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 b b) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c (*.f64 a (*.f64 a a)))))))) c)) c)))))
(* -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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c))))) #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 (*.f64 c (*.f64 c c)) (pow.f64 a #s(literal 5 binary64))))) (/.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64))))) (*.f64 #s(literal -1/4 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c))))) (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 b (neg.f64 a))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(fma.f64 b (/.f64 c (*.f64 b b)) (/.f64 b (neg.f64 a)))
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))
(fma.f64 b (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 4 binary64))) (/.f64 c (*.f64 b b))) (/.f64 b (neg.f64 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)))
(fma.f64 b (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 6 binary64))) (/.f64 c (*.f64 b b)))) (/.f64 b (neg.f64 a)))
(* -1 (/ c b))
(/.f64 c (neg.f64 b))
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))
(neg.f64 (/.f64 (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 #s(literal 2 binary64) (*.f64 (*.f64 a a) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64)))) (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)) (neg.f64 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 #s(literal 2 binary64) (*.f64 (*.f64 a a) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64)))) (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c))) (neg.f64 b))
(/ b a)
(/.f64 b a)
(/ (+ b (* -2 (/ (* a c) b))) a)
(/.f64 (fma.f64 (*.f64 a c) (/.f64 #s(literal -2 binary64) b) b) a)
(/ (+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) a)
(/.f64 (fma.f64 (*.f64 a #s(literal -2 binary64)) (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))) (/.f64 c b)) b) a)
(/ (+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) a)
(/.f64 (fma.f64 a (fma.f64 a (/.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 5 binary64))) (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))) (/.f64 c b)))) b) a)
(* (sqrt (/ c a)) (sqrt -4))
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))
(+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c))))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))
(+ (* -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))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (pow.f64 a #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 a (*.f64 a (*.f64 a c))))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))))
(+ (* -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)))))
(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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (pow.f64 a #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 a (*.f64 a (*.f64 a c))))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))))
(* -2 (* (sqrt (/ c a)) (sqrt -1)))
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -2 binary64)))
(+ (* -2 (* (sqrt (/ c a)) (sqrt -1))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))))
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c))))) (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/4 binary64))))
(+ (* -2 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1))))))
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b
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(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* (sqrt (* (pow a 3) c)) (sqrt -4)) (/ (* (pow a 2) (* c (pow (sqrt -4) 2))) b)) b))) b))
(/.f64 (-.f64 (neg.f64 a) (/.f64 (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 a (*.f64 a (*.f64 a c)))) (*.f64 (*.f64 a a) (/.f64 (*.f64 c #s(literal -4 binary64)) b))) b)) (neg.f64 b))
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (sqrt (* (pow a 5) (pow c 3))) (/ (pow (sqrt -4) 3) b))) (* -1 (* (pow a 2) (* c (pow (sqrt -4) 2))))) b)) (* (sqrt (* (pow a 3) c)) (sqrt -4))) b))) b))
(/.f64 (-.f64 (neg.f64 a) (/.f64 (-.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 a (*.f64 a (*.f64 a c))))) (/.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 c (*.f64 c c)) (pow.f64 a #s(literal 5 binary64)))) (neg.f64 (*.f64 #s(literal -4 binary64) (/.f64 (sqrt.f64 #s(literal -4 binary64)) b))) (*.f64 (*.f64 a (*.f64 a c)) #s(literal 4 binary64))) b)) b)) (neg.f64 b))
(/ a (- b (* (sqrt (* a c)) (sqrt -4))))
(/.f64 a (fma.f64 (sqrt.f64 (*.f64 a c)) (neg.f64 (sqrt.f64 #s(literal -4 binary64))) b))
(/ a (- b (* (sqrt (* a c)) (sqrt -4))))
(/.f64 a (fma.f64 (sqrt.f64 (*.f64 a c)) (neg.f64 (sqrt.f64 #s(literal -4 binary64))) b))
(/ a (- b (* (sqrt (* a c)) (sqrt -4))))
(/.f64 a (fma.f64 (sqrt.f64 (*.f64 a c)) (neg.f64 (sqrt.f64 #s(literal -4 binary64))) b))
(/ a (- b (* (sqrt (* a c)) (sqrt -4))))
(/.f64 a (fma.f64 (sqrt.f64 (*.f64 a c)) (neg.f64 (sqrt.f64 #s(literal -4 binary64))) b))
(* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -4))))
(/.f64 (sqrt.f64 (/.f64 a c)) (neg.f64 (sqrt.f64 #s(literal -4 binary64))))
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* -1 (/ b (pow (sqrt -4) 2)))) c)
(/.f64 (-.f64 (*.f64 b #s(literal 1/4 binary64)) (/.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))) c)
(/ (- (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3))))) (/ b (pow (sqrt -4) 2))) c)
(/.f64 (-.f64 (*.f64 b #s(literal 1/4 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (/.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) (/.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))))) c)
(/ (- (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* -1 (/ (pow b 3) (* a (* c (pow (sqrt -4) 4)))))) (+ (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3))) (/ b (pow (sqrt -4) 2)))) c)
(/.f64 (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (neg.f64 (/.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64))))) (*.f64 b #s(literal 1/4 binary64))) (fma.f64 b (/.f64 (*.f64 b b) (*.f64 a (*.f64 c (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 4 binary64))))) (/.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))))) c)
(* 1/2 (* (sqrt (/ a c)) (sqrt -1)))
(*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(* -1 (/ (+ (* -1/2 (* (sqrt (* a c)) (sqrt -1))) (* -1/4 b)) c))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 a c))) (*.f64 b #s(literal -1/4 binary64))) (neg.f64 c))
(* -1 (/ (+ (* -1 (/ (- (* 1/8 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1)))) (* -1/4 (* b c))) c)) (* -1/2 (* (sqrt (* a c)) (sqrt -1)))) c))
(/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 a c)))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/8 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 b c))) c)) (neg.f64 c))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ (* (pow b 3) c) a)) (* 1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1))))) c)) (* -1/4 (* b c))) c)) (* -1/2 (* (sqrt (* a c)) (sqrt -1)))) c))
(/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 a c)))) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 b c)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 b b) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 (*.f64 c (*.f64 c c)) a)))) (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 b (*.f64 (*.f64 b b) c))) a)) c)) c)) (neg.f64 c))
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(*.f64 (sqrt.f64 (*.f64 a c)) (neg.f64 (sqrt.f64 #s(literal -4 binary64))))
(- b (* (sqrt (* a c)) (sqrt -4)))
(fma.f64 (sqrt.f64 (*.f64 a c)) (neg.f64 (sqrt.f64 #s(literal -4 binary64))) b)
(- b (* (sqrt (* a c)) (sqrt -4)))
(fma.f64 (sqrt.f64 (*.f64 a c)) (neg.f64 (sqrt.f64 #s(literal -4 binary64))) b)
(- b (* (sqrt (* a c)) (sqrt -4)))
(fma.f64 (sqrt.f64 (*.f64 a c)) (neg.f64 (sqrt.f64 #s(literal -4 binary64))) b)
b
(* b (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b)))))
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 a c))) (*.f64 (/.f64 (sqrt.f64 #s(literal -4 binary64)) b) b) b)
(* b (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b)))))
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 a c))) (*.f64 (/.f64 (sqrt.f64 #s(literal -4 binary64)) b) b) b)
(* b (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b)))))
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 a c))) (*.f64 (/.f64 (sqrt.f64 #s(literal -4 binary64)) b) b) b)
b
(* -1 (* b (- (* (sqrt (* a c)) (/ (sqrt -4) b)) 1)))
(*.f64 (neg.f64 b) (fma.f64 (sqrt.f64 (*.f64 a c)) (/.f64 (sqrt.f64 #s(literal -4 binary64)) b) #s(literal -1 binary64)))
(* -1 (* b (- (* (sqrt (* a c)) (/ (sqrt -4) b)) 1)))
(*.f64 (neg.f64 b) (fma.f64 (sqrt.f64 (*.f64 a c)) (/.f64 (sqrt.f64 #s(literal -4 binary64)) b) #s(literal -1 binary64)))
(* -1 (* b (- (* (sqrt (* a c)) (/ (sqrt -4) b)) 1)))
(*.f64 (neg.f64 b) (fma.f64 (sqrt.f64 (*.f64 a c)) (/.f64 (sqrt.f64 #s(literal -4 binary64)) b) #s(literal -1 binary64)))
(- b (* (sqrt (* a c)) (sqrt -4)))
(fma.f64 (sqrt.f64 (*.f64 a c)) (neg.f64 (sqrt.f64 #s(literal -4 binary64))) b)
(- b (* (sqrt (* a c)) (sqrt -4)))
(fma.f64 (sqrt.f64 (*.f64 a c)) (neg.f64 (sqrt.f64 #s(literal -4 binary64))) b)
(- b (* (sqrt (* a c)) (sqrt -4)))
(fma.f64 (sqrt.f64 (*.f64 a c)) (neg.f64 (sqrt.f64 #s(literal -4 binary64))) b)
(- b (* (sqrt (* a c)) (sqrt -4)))
(fma.f64 (sqrt.f64 (*.f64 a c)) (neg.f64 (sqrt.f64 #s(literal -4 binary64))) b)
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(*.f64 (sqrt.f64 (*.f64 a c)) (neg.f64 (sqrt.f64 #s(literal -4 binary64))))
(* a (- (/ b a) (* (sqrt (/ c a)) (sqrt -4))))
(*.f64 a (-.f64 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))))
(* a (- (/ b a) (* (sqrt (/ c a)) (sqrt -4))))
(*.f64 a (-.f64 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))))
(* a (- (/ b a) (* (sqrt (/ c a)) (sqrt -4))))
(*.f64 a (-.f64 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))))
(* 2 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (sqrt.f64 (*.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(* -1 (* a (- (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(*.f64 (neg.f64 a) (-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -2 binary64))) (/.f64 b a)))
(* -1 (* a (- (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(*.f64 (neg.f64 a) (-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -2 binary64))) (/.f64 b a)))
(* -1 (* a (- (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(*.f64 (neg.f64 a) (-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -2 binary64))) (/.f64 b a)))
(- b (* (sqrt (* a c)) (sqrt -4)))
(fma.f64 (sqrt.f64 (*.f64 a c)) (neg.f64 (sqrt.f64 #s(literal -4 binary64))) b)
(- b (* (sqrt (* a c)) (sqrt -4)))
(fma.f64 (sqrt.f64 (*.f64 a c)) (neg.f64 (sqrt.f64 #s(literal -4 binary64))) b)
(- b (* (sqrt (* a c)) (sqrt -4)))
(fma.f64 (sqrt.f64 (*.f64 a c)) (neg.f64 (sqrt.f64 #s(literal -4 binary64))) b)
(- b (* (sqrt (* a c)) (sqrt -4)))
(fma.f64 (sqrt.f64 (*.f64 a c)) (neg.f64 (sqrt.f64 #s(literal -4 binary64))) b)
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(*.f64 (sqrt.f64 (*.f64 a c)) (neg.f64 (sqrt.f64 #s(literal -4 binary64))))
(* c (- (/ b c) (* (sqrt (/ a c)) (sqrt -4))))
(*.f64 c (-.f64 (/.f64 b c) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c)))))
(* c (- (/ b c) (* (sqrt (/ a c)) (sqrt -4))))
(*.f64 c (-.f64 (/.f64 b c) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c)))))
(* c (- (/ b c) (* (sqrt (/ a c)) (sqrt -4))))
(*.f64 c (-.f64 (/.f64 b c) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c)))))
(* 2 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (sqrt.f64 (*.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(* -1 (* c (- (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(*.f64 (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c))) (/.f64 b c)) (neg.f64 c))
(* -1 (* c (- (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(*.f64 (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c))) (/.f64 b c)) (neg.f64 c))
(* -1 (* c (- (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(*.f64 (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c))) (/.f64 b c)) (neg.f64 c))
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 a c)))
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 a c)))
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 a c)))
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 a c)))
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 a c)))
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 a c)))
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 a c)))
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 a c)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (sqrt.f64 (*.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -2 binary64)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (sqrt.f64 (*.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -2 binary64)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (sqrt.f64 (*.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -2 binary64)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (sqrt.f64 (*.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -2 binary64)))
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 a c)))
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 a c)))
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 a c)))
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 a c)))
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 a c)))
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 a c)))
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 a c)))
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 a c)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (sqrt.f64 (*.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -2 binary64)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (sqrt.f64 (*.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -2 binary64)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (sqrt.f64 (*.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -2 binary64)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (sqrt.f64 (*.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -2 binary64)))
(* -4 c)
(*.f64 c #s(literal -4 binary64))
(* -4 c)
(*.f64 c #s(literal -4 binary64))
(* -4 c)
(*.f64 c #s(literal -4 binary64))
(* -4 c)
(*.f64 c #s(literal -4 binary64))
(* -4 c)
(*.f64 c #s(literal -4 binary64))
(* -4 c)
(*.f64 c #s(literal -4 binary64))
(* -4 c)
(*.f64 c #s(literal -4 binary64))
(* -4 c)
(*.f64 c #s(literal -4 binary64))
(* -4 c)
(*.f64 c #s(literal -4 binary64))
(* -4 c)
(*.f64 c #s(literal -4 binary64))
(* -4 c)
(*.f64 c #s(literal -4 binary64))
(* -4 c)
(*.f64 c #s(literal -4 binary64))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* 2 a)
(*.f64 a #s(literal 2 binary64))

eval161.0ms (1.2%)

Memory
22.3MiB live, 172.5MiB allocated
Compiler

Compiled 13 370 to 1 451 computations (89.1% saved)

prune80.0ms (0.6%)

Memory
7.1MiB live, 209.4MiB allocated
Pruning

31 alts after pruning (24 fresh and 7 done)

PrunedKeptTotal
New73617753
Fresh6713
Picked145
Done033
Total74331774
Accuracy
99.6%
Counts
774 → 31
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.0%
(fma.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a) #s(literal -1/2 binary64) (/.f64 b (*.f64 a #s(literal -2 binary64))))
32.8%
(fma.f64 b (/.f64 c (*.f64 b b)) (neg.f64 (/.f64 b a)))
33.4%
(/.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 #s(literal 1 binary64) b))
33.5%
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))
31.9%
(/.f64 (*.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a b)) (*.f64 #s(literal 2 binary64) a))
34.1%
(/.f64 (*.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) a)) b)
31.3%
(/.f64 (*.f64 (*.f64 a c) (/.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 2 binary64) a))
49.2%
(/.f64 (*.f64 (*.f64 a c) #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))))))))
32.4%
(/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 a (*.f64 #s(literal 2 binary64) b)))
25.8%
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))))) a)
37.8%
(/.f64 c (neg.f64 b))
12.8%
(/.f64 c b)
2.5%
(/.f64 b a)
2.5%
(/.f64 #s(literal 1 binary64) (/.f64 a b))
14.4%
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b (*.f64 (sqrt.f64 (*.f64 a #s(literal -4 binary64))) (sqrt.f64 c)))))
18.0%
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b (*.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) c)) (sqrt.f64 a)))))
25.8%
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b (sqrt.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64))))))
25.8%
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))))) a))
33.5%
(/.f64 #s(literal -1 binary64) (/.f64 a b))
33.4%
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) b) a))
33.4%
(-.f64 (/.f64 c b) (/.f64 b a))
30.4%
(*.f64 (/.f64 (*.f64 c #s(literal -2 binary64)) (*.f64 a #s(literal 2 binary64))) (/.f64 a b))
2.5%
(*.f64 (/.f64 #s(literal 1 binary64) a) b)
50.8%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
33.5%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64)))))
33.5%
(*.f64 (/.f64 #s(literal -1 binary64) a) b)
33.7%
(*.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a (*.f64 a (*.f64 #s(literal 2 binary64) b))))
32.3%
(*.f64 (*.f64 a c) (/.f64 #s(literal -2 binary64) (*.f64 a (*.f64 #s(literal 2 binary64) b))))
35.5%
(*.f64 a (/.f64 (/.f64 (*.f64 c #s(literal -2 binary64)) b) (*.f64 a #s(literal 2 binary64))))
33.6%
(neg.f64 (/.f64 b a))
2.2%
(neg.f64 (*.f64 b (fma.f64 #s(literal -1/2 binary64) (neg.f64 (/.f64 c (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) a))))
Compiler

Compiled 719 to 512 computations (28.8% saved)

simplify244.0ms (1.9%)

Memory
-68.8MiB live, 303.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))
cost-diff0
(neg.f64 b)
cost-diff0
(-.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))))
cost-diff128
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))
cost-diff0
(*.f64 a #s(literal 2 binary64))
cost-diff0
(*.f64 c #s(literal -2 binary64))
cost-diff512
(/.f64 (*.f64 c #s(literal -2 binary64)) (*.f64 a #s(literal 2 binary64)))
cost-diff1024
(*.f64 (/.f64 (*.f64 c #s(literal -2 binary64)) (*.f64 a #s(literal 2 binary64))) (/.f64 a b))
cost-diff0
(/.f64 #s(literal 1 binary64) b)
cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) b) a)
cost-diff576
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) b) a))
cost-diff0
(/.f64 c b)
cost-diff0
(*.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
cost-diff0
(*.f64 a c)
cost-diff0
(*.f64 (*.f64 a c) #s(literal -4 binary64))
cost-diff960
(/.f64 (*.f64 (*.f64 a c) #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))))))))
Rules
4 498×*-lowering-*.f32
4 498×*-lowering-*.f64
2 690×--lowering--.f32
2 690×--lowering--.f64
2 258×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032193
186184
2297175
31461173
42899173
53598173
66182173
08178168
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(/ (* (* a c) -4) (* (* a 2) (- b (sqrt (+ (* b b) (* c (* a -4)))))))
(* (* a c) -4)
(* a c)
a
c
-4
(* (* a 2) (- b (sqrt (+ (* b b) (* c (* a -4))))))
(* a 2)
2
(- b (sqrt (+ (* b b) (* c (* a -4)))))
b
(sqrt (+ (* b b) (* c (* a -4))))
(+ (* b b) (* c (* a -4)))
(* c (* a -4))
(* a -4)
(/ c b)
c
b
(/ -1 (* (/ 1 b) a))
-1
(* (/ 1 b) a)
(/ 1 b)
1
b
a
(* (/ (* c -2) (* a 2)) (/ a b))
(/ (* c -2) (* a 2))
(* c -2)
c
-2
(* a 2)
a
2
(/ a b)
b
(/ (- (neg b) (sqrt (* c (* a -4)))) (* 2 a))
(- (neg b) (sqrt (* c (* a -4))))
(neg b)
b
(sqrt (* c (* a -4)))
(* c (* a -4))
c
(* a -4)
a
-4
(* 2 a)
2
Outputs
(/ (* (* a c) -4) (* (* a 2) (- b (sqrt (+ (* b b) (* c (* a -4)))))))
(/.f64 (*.f64 c #s(literal -2 binary64)) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
(* (* a c) -4)
(*.f64 c (*.f64 a #s(literal -4 binary64)))
(* a c)
(*.f64 a c)
a
c
-4
#s(literal -4 binary64)
(* (* a 2) (- b (sqrt (+ (* b b) (* c (* a -4))))))
(*.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
(* a 2)
(*.f64 a #s(literal 2 binary64))
2
#s(literal 2 binary64)
(- b (sqrt (+ (* b b) (* c (* a -4)))))
(-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))
b
(sqrt (+ (* b b) (* c (* a -4))))
(sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))
(+ (* b b) (* c (* a -4)))
(fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))
(* c (* a -4))
(*.f64 c (*.f64 a #s(literal -4 binary64)))
(* a -4)
(*.f64 a #s(literal -4 binary64))
(/ c b)
(/.f64 c b)
c
b
(/ -1 (* (/ 1 b) a))
(/.f64 b (neg.f64 a))
-1
#s(literal -1 binary64)
(* (/ 1 b) a)
(/.f64 a b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
1
#s(literal 1 binary64)
b
a
(* (/ (* c -2) (* a 2)) (/ a b))
(/.f64 c (neg.f64 b))
(/ (* c -2) (* a 2))
(/.f64 c (neg.f64 a))
(* c -2)
(*.f64 c #s(literal -2 binary64))
c
-2
#s(literal -2 binary64)
(* a 2)
(*.f64 a #s(literal 2 binary64))
a
2
#s(literal 2 binary64)
(/ a b)
(/.f64 a b)
b
(/ (- (neg b) (sqrt (* c (* a -4)))) (* 2 a))
(/.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64)))
(- (neg b) (sqrt (* c (* a -4))))
(-.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))))
(neg b)
(neg.f64 b)
b
(sqrt (* c (* a -4)))
(sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))
(* c (* a -4))
(*.f64 c (*.f64 a #s(literal -4 binary64)))
c
(* a -4)
(*.f64 a #s(literal -4 binary64))
a
-4
#s(literal -4 binary64)
(* 2 a)
(*.f64 a #s(literal 2 binary64))
2
#s(literal 2 binary64)

localize162.0ms (1.2%)

Memory
15.6MiB live, 174.7MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(neg.f64 b)
accuracy100.0%
(-.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))))
accuracy99.9%
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))
accuracy87.6%
(sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))
accuracy100.0%
(/.f64 a b)
accuracy100.0%
(*.f64 c #s(literal -2 binary64))
accuracy100.0%
(*.f64 a #s(literal 2 binary64))
accuracy86.0%
(*.f64 (/.f64 (*.f64 c #s(literal -2 binary64)) (*.f64 a #s(literal 2 binary64))) (/.f64 a b))
accuracy100.0%
(/.f64 #s(literal 1 binary64) b)
accuracy99.8%
(*.f64 (/.f64 #s(literal 1 binary64) b) a)
accuracy99.6%
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) b) a))
accuracy100.0%
(/.f64 c b)
accuracy99.9%
(*.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
accuracy91.1%
(-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))
accuracy84.7%
(/.f64 (*.f64 (*.f64 a c) #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))))))))
accuracy77.0%
(sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))
Samples
65.0ms124×0valid
25.0ms15×2valid
22.0ms97×0invalid
5.0ms15×1valid
2.0ms3valid
1.0ms4valid
Compiler

Compiled 192 to 34 computations (82.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 98.0ms
ival-mult: 55.0ms (56% of total)
ival-div: 31.0ms (31.6% of total)
ival-sqrt: 4.0ms (4.1% of total)
ival-sub: 3.0ms (3.1% of total)
ival-add: 2.0ms (2% of total)
adjust: 1.0ms (1% of total)
exact: 1.0ms (1% of total)
ival-neg: 1.0ms (1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series55.0ms (0.4%)

Memory
-8.4MiB live, 67.0MiB allocated
Counts
19 → 492
Calls
Call 1
Inputs
#<alt (/ (* (* a c) -4) (* (* a 2) (- b (sqrt (+ (* b b) (* c (* a -4)))))))>
#<alt (* (* a c) -4)>
#<alt (* a c)>
#<alt (* (* a 2) (- b (sqrt (+ (* b b) (* c (* a -4))))))>
#<alt (/ c b)>
#<alt (/ -1 (* (/ 1 b) a))>
#<alt (* (/ 1 b) a)>
#<alt (/ 1 b)>
#<alt (* (/ (* c -2) (* a 2)) (/ a b))>
#<alt (/ (* c -2) (* a 2))>
#<alt (* c -2)>
#<alt (* a 2)>
#<alt (/ (- (neg b) (sqrt (* c (* a -4)))) (* 2 a))>
#<alt (- (neg b) (sqrt (* c (* a -4))))>
#<alt (neg b)>
#<alt (sqrt (* c (* a -4)))>
#<alt (sqrt (+ (* b b) (* c (* a -4))))>
#<alt (- b (sqrt (+ (* b b) (* c (* a -4)))))>
#<alt (/ a b)>
Outputs
#<alt (* -1 (/ b a))>
#<alt (/ (+ (* -1 b) (/ (* a c) b)) a)>
#<alt (/ (+ (* -1 b) (* a (+ (* 2 (* a (+ (* -1/2 (/ (pow c 2) (pow b 3))) (/ (pow c 2) (pow b 3))))) (/ c b)))) a)>
#<alt (/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (* a (+ (* -1 (/ (* c (+ (* -1/2 (/ (pow c 2) (pow b 3))) (/ (pow c 2) (pow b 3)))) (pow b 2))) (+ (* -1 (/ (pow c 3) (pow b 5))) (* 1/8 (/ (* b (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) c)))))) (* 2 (+ (* -1/2 (/ (pow c 2) (pow b 3))) (/ (pow c 2) (pow b 3)))))) (/ c b)))) a)>
#<alt (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))>
#<alt (/ (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))) a)>
#<alt (/ (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 2 (/ b (pow (sqrt -4) 2))) (* 2 (/ (+ (* -1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (pow a 2))))) a)>
#<alt (/ (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 2 (/ b (pow (sqrt -4) 2))) (+ (* 2 (/ (+ (* -1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (pow a 2))) (* 2 (/ (+ (* -1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt -4) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (sqrt -4)))) (pow a 3)))))) a)>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1 (/ (+ (* 1/2 b) (* (sqrt (* a c)) (sqrt -1))) a))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (+ (* -1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))) a)) (* -1/2 (* a b))) a)) (* (sqrt (* a c)) (sqrt -1))) a))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (+ (* -1/32 (/ (* (pow a 2) (pow b 3)) c)) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (+ (* -1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))))))) a)) (* 2 (+ (* -1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))))) a)) (* -1/2 (* a b))) a)) (* (sqrt (* a c)) (sqrt -1))) a))>
#<alt (* -1 (/ b a))>
#<alt (+ (* -1 (/ b a)) (/ c b))>
#<alt (+ (* -1 (/ b a)) (* c (+ (* 2 (* c (+ (* -1/2 (/ a (pow b 3))) (/ a (pow b 3))))) (/ 1 b))))>
#<alt (+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (* c (+ (* -1 (/ (* a (+ (* -1/2 (/ a (pow b 3))) (/ a (pow b 3)))) (pow b 2))) (+ (* -1 (/ (pow a 2) (pow b 5))) (* 1/8 (/ (* b (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (pow a 2))))))) (* 2 (+ (* -1/2 (/ a (pow b 3))) (/ a (pow b 3)))))) (/ 1 b))))>
#<alt (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))>
#<alt (+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2)))))>
#<alt (- (+ (* -1 (/ (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (pow c 2))) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))) (* -2 (/ b (* a (pow (sqrt -4) 2)))))>
#<alt (- (+ (* -1 (/ (+ (* (sqrt (/ c a)) (/ (* b (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (sqrt -4))) (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -4) 4)))) (pow c 3))) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))) (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -2 (/ b (* a (pow (sqrt -4) 2)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3))))))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (* -1/2 (/ (* b c) a))) c)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (+ (* -1/16 (/ (* (pow b 3) c) (pow a 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))) c)) (* -1/2 (/ (* b c) a))) c)))>
#<alt (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))>
#<alt (+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2)))))>
#<alt (+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* 2 (* b (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2)))))))>
#<alt (+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* b (+ (* -2 (* b (- (* 1/2 (/ 1 (* (pow a 2) (* c (pow (sqrt -4) 4))))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (sqrt -4)))))) (* 2 (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2)))))))>
#<alt (* -1 (/ b a))>
#<alt (* b (- (/ c (pow b 2)) (/ 1 a)))>
#<alt (* b (- (+ (* 2 (/ (+ (* -1/2 (* a (pow c 2))) (* a (pow c 2))) (pow b 4))) (/ c (pow b 2))) (/ 1 a)))>
#<alt (* b (- (+ (* 2 (/ (+ (* -1 (* a (* c (+ (* -1/2 (* a (pow c 2))) (* a (pow c 2)))))) (+ (* -1 (* (pow a 2) (pow c 3))) (* 1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) c))))) (pow b 6))) (+ (* 2 (/ (+ (* -1/2 (* a (pow c 2))) (* a (pow c 2))) (pow b 4))) (/ c (pow b 2)))) (/ 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 (+ (* -2 (/ (+ (* -2 (* (pow a 3) (pow c 4))) (* -1/2 (* (pow a 3) (pow c 4)))) (pow b 6))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<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 (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* 4 (/ (* (pow a 2) c) b))>
#<alt (* (pow a 2) (+ (* 4 (/ c b)) (* 4 (/ (* a (pow c 2)) (pow b 3)))))>
#<alt (* (pow a 2) (+ (* 4 (/ c b)) (* a (+ (* 4 (/ (pow c 2) (pow b 3))) (* 8 (/ (* a (pow c 3)) (pow b 5)))))))>
#<alt (* (pow a 2) (+ (* 4 (/ c b)) (* a (+ (* 4 (/ (pow c 2) (pow b 3))) (* a (+ (* 8 (/ (pow c 3) (pow b 5))) (* a (+ (* 4 (/ (pow c 4) (pow b 7))) (* 16 (/ (pow c 4) (pow b 7)))))))))))>
#<alt (* -2 (* (sqrt (* (pow a 3) c)) (sqrt -4)))>
#<alt (* (pow a 2) (+ (* -2 (* (sqrt (/ c a)) (sqrt -4))) (* 2 (/ b a))))>
#<alt (* (pow a 2) (+ (* -2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 2 (/ b a)))))>
#<alt (* (pow a 2) (+ (* -2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (* 2 (/ b a))))))>
#<alt (* 4 (* (sqrt (* (pow a 3) c)) (sqrt -1)))>
#<alt (* (pow a 2) (+ (* 2 (/ b a)) (* 4 (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* (pow a 2) (+ (* -1 (/ (+ (* -2 b) (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 4 (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* (pow a 2) (+ (* -1 (/ (+ (* -2 b) (* -1 (/ (+ (* -1/32 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* 4 (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* -2 (* (sqrt (* (pow a 3) c)) (sqrt -4)))>
#<alt (+ (* -2 (* (sqrt (* (pow a 3) c)) (sqrt -4))) (* 2 (* a b)))>
#<alt (+ (* -2 (* (sqrt (* (pow a 3) c)) (sqrt -4))) (* b (+ (* -1 (* (sqrt (/ a c)) (/ b (sqrt -4)))) (* 2 a))))>
#<alt (+ (* -2 (* (sqrt (* (pow a 3) c)) (sqrt -4))) (* b (+ (* 2 a) (* b (+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))))))>
#<alt (* 4 (/ (* (pow a 2) c) b))>
#<alt (/ (+ (* 4 (* (pow a 2) c)) (* 4 (/ (* (pow a 3) (pow c 2)) (pow b 2)))) b)>
#<alt (/ (+ (* 4 (* (pow a 2) c)) (+ (* 4 (/ (* (pow a 3) (pow c 2)) (pow b 2))) (* 8 (/ (* (pow a 4) (pow c 3)) (pow b 4))))) b)>
#<alt (/ (+ (* 4 (* (pow a 2) c)) (+ (* 4 (/ (* (pow a 3) (pow c 2)) (pow b 2))) (+ (* 8 (/ (* (pow a 4) (pow c 3)) (pow b 4))) (/ (* a (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4))))) (pow b 6))))) b)>
#<alt (* 4 (* a b))>
#<alt (* -1 (* b (+ (* -4 a) (* 4 (/ (* (pow a 2) c) (pow b 2))))))>
#<alt (* -1 (* b (+ (* -4 a) (+ (* 4 (/ (* (pow a 2) c) (pow b 2))) (* 4 (/ (* (pow a 3) (pow c 2)) (pow b 4)))))))>
#<alt (* -1 (* b (+ (* -4 a) (+ (* 4 (/ (* (pow a 2) c) (pow b 2))) (+ (* 4 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* 8 (/ (* (pow a 4) (pow c 3)) (pow b 6))))))))>
#<alt (* 4 (/ (* (pow a 2) c) b))>
#<alt (* c (+ (* 4 (/ (* (pow a 3) c) (pow b 3))) (* 4 (/ (pow a 2) b))))>
#<alt (* c (+ (* 4 (/ (pow a 2) b)) (* c (+ (* 4 (/ (pow a 3) (pow b 3))) (* 8 (/ (* (pow a 4) c) (pow b 5)))))))>
#<alt (* c (+ (* 4 (/ (pow a 2) b)) (* c (+ (* 4 (/ (pow a 3) (pow b 3))) (* c (+ (* 8 (/ (pow a 4) (pow b 5))) (/ (* a (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6)))))) b)))))))>
#<alt (* -2 (* (sqrt (* (pow a 3) c)) (sqrt -4)))>
#<alt (* c (+ (* -2 (* (sqrt (/ (pow a 3) c)) (sqrt -4))) (* 2 (/ (* a b) c))))>
#<alt (* c (+ (* -2 (* (sqrt (/ (pow a 3) c)) (sqrt -4))) (+ (* -1 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -4)))) (* 2 (/ (* a b) c)))))>
#<alt (* c (+ (* -2 (* (sqrt (/ (pow a 3) c)) (sqrt -4))) (+ (* -1 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -4)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (* 2 (/ (* a b) c))))))>
#<alt (* 4 (* (sqrt (* (pow a 3) c)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* -4 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (* -2 (/ (* a b) c)))))>
#<alt (* -1 (* c (+ (* -4 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (* -1 (/ (+ (* 1/2 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 2 (* a b))) c)))))>
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#<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 (/ 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)>
Calls

123 calls:

TimeVariablePointExpression
14.0ms
b
@inf
(/ (* (* a c) -4) (* (* a 2) (- b (sqrt (+ (* b b) (* c (* a -4)))))))
12.0ms
c
@0
(/ (- (neg b) (sqrt (* c (* a -4)))) (* 2 a))
3.0ms
b
@inf
(- b (sqrt (+ (* b b) (* c (* a -4)))))
1.0ms
a
@inf
(/ (* (* a c) -4) (* (* a 2) (- b (sqrt (+ (* b b) (* c (* a -4)))))))
1.0ms
a
@-inf
(/ (* (* a c) -4) (* (* a 2) (- b (sqrt (+ (* b b) (* c (* a -4)))))))

rewrite335.0ms (2.6%)

Memory
21.6MiB live, 572.4MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 220×accelerator-lowering-fma.f32
5 220×accelerator-lowering-fma.f64
4 122×*-lowering-*.f32
4 122×*-lowering-*.f64
3 514×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032135
1184131
21482125
08966117
Stop Event
iter limit
node limit
Counts
19 → 890
Calls
Call 1
Inputs
(/ (* (* a c) -4) (* (* a 2) (- b (sqrt (+ (* b b) (* c (* a -4)))))))
(* (* a c) -4)
(* a c)
(* (* a 2) (- b (sqrt (+ (* b b) (* c (* a -4))))))
(/ c b)
(/ -1 (* (/ 1 b) a))
(* (/ 1 b) a)
(/ 1 b)
(* (/ (* c -2) (* a 2)) (/ a b))
(/ (* c -2) (* a 2))
(* c -2)
(* a 2)
(/ (- (neg b) (sqrt (* c (* a -4)))) (* 2 a))
(- (neg b) (sqrt (* c (* a -4))))
(neg b)
(sqrt (* c (* a -4)))
(sqrt (+ (* b b) (* c (* a -4))))
(- b (sqrt (+ (* b b) (* c (* a -4)))))
(/ a b)
Outputs
(+.f64 (*.f64 (/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 c #s(literal -4 binary64)) #s(literal 1/2 binary64))) (fma.f64 b (*.f64 b b) (*.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))) (*.f64 b b)) (*.f64 (/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 c #s(literal -4 binary64)) #s(literal 1/2 binary64))) (fma.f64 b (*.f64 b b) (*.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))) (fma.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))
(+.f64 (*.f64 (/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 c #s(literal -4 binary64)) #s(literal 1/2 binary64))) (fma.f64 b (*.f64 b b) (*.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))) (fma.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (*.f64 (/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 c #s(literal -4 binary64)) #s(literal 1/2 binary64))) (fma.f64 b (*.f64 b b) (*.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))) (*.f64 b b)))
(+.f64 (*.f64 (/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 c #s(literal -4 binary64)) #s(literal 1/2 binary64))) (fma.f64 b (*.f64 b b) (*.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))) (fma.f64 b b (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (*.f64 (/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 c #s(literal -4 binary64)) #s(literal 1/2 binary64))) (fma.f64 b (*.f64 b b) (*.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))) (*.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))))
(+.f64 (*.f64 (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 c #s(literal -4 binary64)) #s(literal 1/2 binary64))) (fma.f64 b b (fma.f64 a (*.f64 c #s(literal 4 binary64)) (*.f64 b b)))) b) (*.f64 (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 c #s(literal -4 binary64)) #s(literal 1/2 binary64))) (fma.f64 b b (fma.f64 a (*.f64 c #s(literal 4 binary64)) (*.f64 b b)))) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))
(+.f64 (*.f64 (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 c #s(literal -4 binary64)) #s(literal 1/2 binary64))) (fma.f64 b b (fma.f64 a (*.f64 c #s(literal 4 binary64)) (*.f64 b b)))) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (*.f64 (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 c #s(literal -4 binary64)) #s(literal 1/2 binary64))) (fma.f64 b b (fma.f64 a (*.f64 c #s(literal 4 binary64)) (*.f64 b b)))) b))
(+.f64 (*.f64 (*.f64 b b) (/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 c #s(literal -4 binary64)) #s(literal 1/2 binary64))) (fma.f64 b (*.f64 b b) (*.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))))) (*.f64 (fma.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 c #s(literal -4 binary64)) #s(literal 1/2 binary64))) (fma.f64 b (*.f64 b b) (*.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))))))
(+.f64 (*.f64 (fma.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 c #s(literal -4 binary64)) #s(literal 1/2 binary64))) (fma.f64 b (*.f64 b b) (*.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))))) (*.f64 (*.f64 b b) (/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 c #s(literal -4 binary64)) #s(literal 1/2 binary64))) (fma.f64 b (*.f64 b b) (*.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))))))
(+.f64 (*.f64 (fma.f64 b b (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 c #s(literal -4 binary64)) #s(literal 1/2 binary64))) (fma.f64 b (*.f64 b b) (*.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))))) (*.f64 (*.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 c #s(literal -4 binary64)) #s(literal 1/2 binary64))) (fma.f64 b (*.f64 b b) (*.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))))))
(+.f64 (*.f64 b (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 c #s(literal -4 binary64)) #s(literal 1/2 binary64))) (fma.f64 b b (fma.f64 a (*.f64 c #s(literal 4 binary64)) (*.f64 b b))))) (*.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 c #s(literal -4 binary64)) #s(literal 1/2 binary64))) (fma.f64 b b (fma.f64 a (*.f64 c #s(literal 4 binary64)) (*.f64 b b))))))
(+.f64 (*.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 c #s(literal -4 binary64)) #s(literal 1/2 binary64))) (fma.f64 b b (fma.f64 a (*.f64 c #s(literal 4 binary64)) (*.f64 b b))))) (*.f64 b (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 c #s(literal -4 binary64)) #s(literal 1/2 binary64))) (fma.f64 b b (fma.f64 a (*.f64 c #s(literal 4 binary64)) (*.f64 b b))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 c #s(literal -4 binary64)) #s(literal 1/2 binary64))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 c #s(literal -4 binary64)) #s(literal 1/2 binary64))) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 c #s(literal -4 binary64)) #s(literal 1/2 binary64))) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))))
(fma.f64 b (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 c #s(literal -4 binary64)) #s(literal 1/2 binary64))) (fma.f64 b b (fma.f64 a (*.f64 c #s(literal 4 binary64)) (*.f64 b b)))) (*.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 c #s(literal -4 binary64)) #s(literal 1/2 binary64))) (fma.f64 b b (fma.f64 a (*.f64 c #s(literal 4 binary64)) (*.f64 b b))))))
(fma.f64 (*.f64 b b) (/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 c #s(literal -4 binary64)) #s(literal 1/2 binary64))) (fma.f64 b (*.f64 b b) (*.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))) (*.f64 (fma.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 c #s(literal -4 binary64)) #s(literal 1/2 binary64))) (fma.f64 b (*.f64 b b) (*.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))))))
(fma.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 c #s(literal -4 binary64)) #s(literal 1/2 binary64))) (fma.f64 b b (fma.f64 a (*.f64 c #s(literal 4 binary64)) (*.f64 b b)))) (*.f64 b (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 c #s(literal -4 binary64)) #s(literal 1/2 binary64))) (fma.f64 b b (fma.f64 a (*.f64 c #s(literal 4 binary64)) (*.f64 b b))))))
(fma.f64 (fma.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 c #s(literal -4 binary64)) #s(literal 1/2 binary64))) (fma.f64 b (*.f64 b b) (*.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))) (*.f64 (*.f64 b b) (/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 c #s(literal -4 binary64)) #s(literal 1/2 binary64))) (fma.f64 b (*.f64 b b) (*.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))))))
(fma.f64 (fma.f64 b b (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 c #s(literal -4 binary64)) #s(literal 1/2 binary64))) (fma.f64 b (*.f64 b b) (*.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))) (*.f64 (*.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 c #s(literal -4 binary64)) #s(literal 1/2 binary64))) (fma.f64 b (*.f64 b b) (*.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))))))
(fma.f64 (/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 c #s(literal -4 binary64)) #s(literal 1/2 binary64))) (fma.f64 b (*.f64 b b) (*.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))) (*.f64 b b) (*.f64 (/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 c #s(literal -4 binary64)) #s(literal 1/2 binary64))) (fma.f64 b (*.f64 b b) (*.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))) (fma.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))
(fma.f64 (/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 c #s(literal -4 binary64)) #s(literal 1/2 binary64))) (fma.f64 b (*.f64 b b) (*.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))) (fma.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 (/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 c #s(literal -4 binary64)) #s(literal 1/2 binary64))) (fma.f64 b (*.f64 b b) (*.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))) (*.f64 b b)))
(fma.f64 (/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 c #s(literal -4 binary64)) #s(literal 1/2 binary64))) (fma.f64 b (*.f64 b b) (*.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))) (fma.f64 b b (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 (/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 c #s(literal -4 binary64)) #s(literal 1/2 binary64))) (fma.f64 b (*.f64 b b) (*.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))) (*.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))))
(fma.f64 (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 c #s(literal -4 binary64)) #s(literal 1/2 binary64))) (fma.f64 b b (fma.f64 a (*.f64 c #s(literal 4 binary64)) (*.f64 b b)))) b (*.f64 (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 c #s(literal -4 binary64)) #s(literal 1/2 binary64))) (fma.f64 b b (fma.f64 a (*.f64 c #s(literal 4 binary64)) (*.f64 b b)))) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))
(fma.f64 (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 c #s(literal -4 binary64)) #s(literal 1/2 binary64))) (fma.f64 b b (fma.f64 a (*.f64 c #s(literal 4 binary64)) (*.f64 b b)))) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 c #s(literal -4 binary64)) #s(literal 1/2 binary64))) (fma.f64 b b (fma.f64 a (*.f64 c #s(literal 4 binary64)) (*.f64 b b)))) b))
(neg.f64 (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 c #s(literal -4 binary64)) #s(literal 1/2 binary64))) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))))
(neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 c #s(literal -4 binary64)) #s(literal 1/2 binary64))) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))))))
(neg.f64 (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 c #s(literal -4 binary64)) #s(literal 1/2 binary64))) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 c #s(literal -4 binary64)) #s(literal 1/2 binary64))))))
(neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 c #s(literal -4 binary64)) #s(literal 1/2 binary64))) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))))
(/.f64 (*.f64 a c) (*.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) #s(literal -1/4 binary64)))
(/.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 (*.f64 a #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))))
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) (*.f64 c #s(literal -4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 c #s(literal -4 binary64)) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (*.f64 (*.f64 #s(literal 1 binary64) (*.f64 c #s(literal 1/2 binary64))) #s(literal -4 binary64))))
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(*.f64 (fma.f64 b b (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (/.f64 #s(literal -1 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))))
(+.f64 #s(literal 0 binary64) (/.f64 a b))
(exp.f64 (*.f64 (log.f64 (/.f64 b a)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 a b))
(-.f64 (/.f64 #s(literal 0 binary64) b) (/.f64 a b))
(neg.f64 (/.f64 a b))
(/.f64 a b)
(/.f64 #s(literal -1 binary64) (/.f64 b a))
(/.f64 #s(literal 1 binary64) (/.f64 b a))
(/.f64 (/.f64 a b) #s(literal -1 binary64))
(/.f64 (/.f64 a b) #s(literal 1 binary64))
(/.f64 (neg.f64 a) b)
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 a b) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 a b) (/.f64 a b) (*.f64 #s(literal 0 binary64) (/.f64 a b)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 a b) (/.f64 a b))) (/.f64 a b))
(pow.f64 (/.f64 a b) #s(literal 1 binary64))
(pow.f64 (/.f64 b a) #s(literal -1 binary64))
(*.f64 a (/.f64 #s(literal -1 binary64) b))
(*.f64 #s(literal -1 binary64) (/.f64 a b))
(*.f64 #s(literal 1 binary64) (/.f64 a b))
(*.f64 (/.f64 a b) #s(literal -1 binary64))
(*.f64 (/.f64 a b) #s(literal 1 binary64))
(*.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) b))
(*.f64 (/.f64 #s(literal -1 binary64) b) a)
(*.f64 (/.f64 #s(literal -1 binary64) b) (neg.f64 a))
(*.f64 (/.f64 #s(literal -1 binary64) b) (pow.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) b))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) a) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) b))
(*.f64 (pow.f64 (/.f64 b a) #s(literal -1/2 binary64)) (pow.f64 (/.f64 b a) #s(literal -1/2 binary64)))

simplify517.0ms (3.9%)

Memory
-23.2MiB live, 903.9MiB allocated
Algorithm
egg-herbie
Rules
11 730×accelerator-lowering-fma.f32
11 730×accelerator-lowering-fma.f64
10 526×*-lowering-*.f32
10 526×*-lowering-*.f64
4 662×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08986206
129936070
092825862
Stop Event
iter limit
node limit
Counts
492 → 492
Calls
Call 1
Inputs
(* -1 (/ b a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ (+ (* -1 b) (* a (+ (* 2 (* a (+ (* -1/2 (/ (pow c 2) (pow b 3))) (/ (pow c 2) (pow b 3))))) (/ c b)))) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (* a (+ (* -1 (/ (* c (+ (* -1/2 (/ (pow c 2) (pow b 3))) (/ (pow c 2) (pow b 3)))) (pow b 2))) (+ (* -1 (/ (pow c 3) (pow b 5))) (* 1/8 (/ (* b (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) c)))))) (* 2 (+ (* -1/2 (/ (pow c 2) (pow b 3))) (/ (pow c 2) (pow b 3)))))) (/ c b)))) a)
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
(/ (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))) a)
(/ (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 2 (/ b (pow (sqrt -4) 2))) (* 2 (/ (+ (* -1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (pow a 2))))) a)
(/ (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 2 (/ b (pow (sqrt -4) 2))) (+ (* 2 (/ (+ (* -1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (pow a 2))) (* 2 (/ (+ (* -1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt -4) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (sqrt -4)))) (pow a 3)))))) a)
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (/ (+ (* 1/2 b) (* (sqrt (* a c)) (sqrt -1))) a))
(* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (+ (* -1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))) a)) (* -1/2 (* a b))) a)) (* (sqrt (* a c)) (sqrt -1))) a))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (+ (* -1/32 (/ (* (pow a 2) (pow b 3)) c)) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (+ (* -1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))))))) a)) (* 2 (+ (* -1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))))) a)) (* -1/2 (* a b))) a)) (* (sqrt (* a c)) (sqrt -1))) a))
(* -1 (/ b a))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (* c (+ (* 2 (* c (+ (* -1/2 (/ a (pow b 3))) (/ a (pow b 3))))) (/ 1 b))))
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (* c (+ (* -1 (/ (* a (+ (* -1/2 (/ a (pow b 3))) (/ a (pow b 3)))) (pow b 2))) (+ (* -1 (/ (pow a 2) (pow b 5))) (* 1/8 (/ (* b (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (pow a 2))))))) (* 2 (+ (* -1/2 (/ a (pow b 3))) (/ a (pow b 3)))))) (/ 1 b))))
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2)))))
(- (+ (* -1 (/ (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (pow c 2))) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))) (* -2 (/ b (* a (pow (sqrt -4) 2)))))
(- (+ (* -1 (/ (+ (* (sqrt (/ c a)) (/ (* b (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (sqrt -4))) (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -4) 4)))) (pow c 3))) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))) (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -2 (/ b (* a (pow (sqrt -4) 2)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (* -1/2 (/ (* b c) a))) c)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (+ (* -1/16 (/ (* (pow b 3) c) (pow a 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))) c)) (* -1/2 (/ (* b c) a))) c)))
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2)))))
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* 2 (* b (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2)))))))
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* b (+ (* -2 (* b (- (* 1/2 (/ 1 (* (pow a 2) (* c (pow (sqrt -4) 4))))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (sqrt -4)))))) (* 2 (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2)))))))
(* -1 (/ b a))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* b (- (+ (* 2 (/ (+ (* -1/2 (* a (pow c 2))) (* a (pow c 2))) (pow b 4))) (/ c (pow b 2))) (/ 1 a)))
(* b (- (+ (* 2 (/ (+ (* -1 (* a (* c (+ (* -1/2 (* a (pow c 2))) (* a (pow c 2)))))) (+ (* -1 (* (pow a 2) (pow c 3))) (* 1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) c))))) (pow b 6))) (+ (* 2 (/ (+ (* -1/2 (* a (pow c 2))) (* a (pow c 2))) (pow b 4))) (/ c (pow b 2)))) (/ 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 (+ (* -2 (/ (+ (* -2 (* (pow a 3) (pow c 4))) (* -1/2 (* (pow a 3) (pow c 4)))) (pow b 6))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))
(* -4 (* a c))
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(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
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(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
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(* a c)
(* a c)
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(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* 4 (/ (* (pow a 2) c) b))
(* (pow a 2) (+ (* 4 (/ c b)) (* 4 (/ (* a (pow c 2)) (pow b 3)))))
(* (pow a 2) (+ (* 4 (/ c b)) (* a (+ (* 4 (/ (pow c 2) (pow b 3))) (* 8 (/ (* a (pow c 3)) (pow b 5)))))))
(* (pow a 2) (+ (* 4 (/ c b)) (* a (+ (* 4 (/ (pow c 2) (pow b 3))) (* a (+ (* 8 (/ (pow c 3) (pow b 5))) (* a (+ (* 4 (/ (pow c 4) (pow b 7))) (* 16 (/ (pow c 4) (pow b 7)))))))))))
(* -2 (* (sqrt (* (pow a 3) c)) (sqrt -4)))
(* (pow a 2) (+ (* -2 (* (sqrt (/ c a)) (sqrt -4))) (* 2 (/ b a))))
(* (pow a 2) (+ (* -2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 2 (/ b a)))))
(* (pow a 2) (+ (* -2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (* 2 (/ b a))))))
(* 4 (* (sqrt (* (pow a 3) c)) (sqrt -1)))
(* (pow a 2) (+ (* 2 (/ b a)) (* 4 (* (sqrt (/ c a)) (sqrt -1)))))
(* (pow a 2) (+ (* -1 (/ (+ (* -2 b) (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 4 (* (sqrt (/ c a)) (sqrt -1)))))
(* (pow a 2) (+ (* -1 (/ (+ (* -2 b) (* -1 (/ (+ (* -1/32 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* 4 (* (sqrt (/ c a)) (sqrt -1)))))
(* -2 (* (sqrt (* (pow a 3) c)) (sqrt -4)))
(+ (* -2 (* (sqrt (* (pow a 3) c)) (sqrt -4))) (* 2 (* a b)))
(+ (* -2 (* (sqrt (* (pow a 3) c)) (sqrt -4))) (* b (+ (* -1 (* (sqrt (/ a c)) (/ b (sqrt -4)))) (* 2 a))))
(+ (* -2 (* (sqrt (* (pow a 3) c)) (sqrt -4))) (* b (+ (* 2 a) (* b (+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))))))
(* 4 (/ (* (pow a 2) c) b))
(/ (+ (* 4 (* (pow a 2) c)) (* 4 (/ (* (pow a 3) (pow c 2)) (pow b 2)))) b)
(/ (+ (* 4 (* (pow a 2) c)) (+ (* 4 (/ (* (pow a 3) (pow c 2)) (pow b 2))) (* 8 (/ (* (pow a 4) (pow c 3)) (pow b 4))))) b)
(/ (+ (* 4 (* (pow a 2) c)) (+ (* 4 (/ (* (pow a 3) (pow c 2)) (pow b 2))) (+ (* 8 (/ (* (pow a 4) (pow c 3)) (pow b 4))) (/ (* a (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4))))) (pow b 6))))) b)
(* 4 (* a b))
(* -1 (* b (+ (* -4 a) (* 4 (/ (* (pow a 2) c) (pow b 2))))))
(* -1 (* b (+ (* -4 a) (+ (* 4 (/ (* (pow a 2) c) (pow b 2))) (* 4 (/ (* (pow a 3) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ (* -4 a) (+ (* 4 (/ (* (pow a 2) c) (pow b 2))) (+ (* 4 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* 8 (/ (* (pow a 4) (pow c 3)) (pow b 6))))))))
(* 4 (/ (* (pow a 2) c) b))
(* c (+ (* 4 (/ (* (pow a 3) c) (pow b 3))) (* 4 (/ (pow a 2) b))))
(* c (+ (* 4 (/ (pow a 2) b)) (* c (+ (* 4 (/ (pow a 3) (pow b 3))) (* 8 (/ (* (pow a 4) c) (pow b 5)))))))
(* c (+ (* 4 (/ (pow a 2) b)) (* c (+ (* 4 (/ (pow a 3) (pow b 3))) (* c (+ (* 8 (/ (pow a 4) (pow b 5))) (/ (* a (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6)))))) b)))))))
(* -2 (* (sqrt (* (pow a 3) c)) (sqrt -4)))
(* c (+ (* -2 (* (sqrt (/ (pow a 3) c)) (sqrt -4))) (* 2 (/ (* a b) c))))
(* c (+ (* -2 (* (sqrt (/ (pow a 3) c)) (sqrt -4))) (+ (* -1 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -4)))) (* 2 (/ (* a b) c)))))
(* c (+ (* -2 (* (sqrt (/ (pow a 3) c)) (sqrt -4))) (+ (* -1 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -4)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (* 2 (/ (* a b) c))))))
(* 4 (* (sqrt (* (pow a 3) c)) (sqrt -1)))
(* -1 (* c (+ (* -4 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (* -2 (/ (* a b) c)))))
(* -1 (* c (+ (* -4 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (* -1 (/ (+ (* 1/2 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 2 (* a b))) c)))))
(* -1 (* c (+ (* -4 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (* a c)) (* (pow b 2) (sqrt -1)))) (* 1/32 (* (sqrt (/ 1 (* a c))) (* (pow b 4) (sqrt -1))))) c)) (* 2 (* a b))) c)))))
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
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(/ c b)
(/ c b)
(/ c b)
(/ c b)
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(/ c b)
(/ c b)
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(* -1 (/ b a))
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(* -1 (/ b a))
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(/ a b)
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(* -1 (/ c b))
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(* -2 c)
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(* 2 a)
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(* -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)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
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(* b (- (* -1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a))))
(* b (- (* -1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a))))
(* b (- (* -1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a))))
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(* -1 (* b (+ (* 1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a)))))
(* -1 (* b (+ (* 1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a)))))
(* -1 (* b (+ (* 1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a)))))
(* -1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a))
(* -1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a))
(* -1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a))
(* -1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))
(* (sqrt (/ c a)) (sqrt -1))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))
(* -1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a))
(* -1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a))
(* -1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a))
(* -1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(- (* -1 b) (* (sqrt (* a c)) (sqrt -4)))
(- (* -1 b) (* (sqrt (* a c)) (sqrt -4)))
(- (* -1 b) (* (sqrt (* a c)) (sqrt -4)))
(* -1 b)
(* b (- (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b))) 1))
(* b (- (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b))) 1))
(* b (- (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b))) 1))
(* -1 b)
(* -1 (* b (+ 1 (* (sqrt (* a c)) (/ (sqrt -4) b)))))
(* -1 (* b (+ 1 (* (sqrt (* a c)) (/ (sqrt -4) b)))))
(* -1 (* b (+ 1 (* (sqrt (* a c)) (/ (sqrt -4) b)))))
(* -1 (+ b (* (sqrt (* a c)) (sqrt -4))))
(* -1 (+ b (* (sqrt (* a c)) (sqrt -4))))
(* -1 (+ b (* (sqrt (* a c)) (sqrt -4))))
(* -1 (+ b (* (sqrt (* a c)) (sqrt -4))))
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(* 2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (- (/ b c) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (- (/ b c) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (- (/ b c) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (+ b (* (sqrt (* a c)) (sqrt -4))))
(* -1 (+ b (* (sqrt (* a c)) (sqrt -4))))
(* -1 (+ b (* (sqrt (* a c)) (sqrt -4))))
(* -1 (+ b (* (sqrt (* a c)) (sqrt -4))))
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* 2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (- (/ b a) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (- (/ b a) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (- (/ b a) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* (sqrt (* a c)) (sqrt -4))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))
b
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 b)
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(- b (* (sqrt (* a c)) (sqrt -4)))
(- (* b (+ 1 (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4)))
(- (* b (+ 1 (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))) (* (sqrt (* a c)) (sqrt -4)))
(* 2 (/ (* a c) b))
(/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) b)
(/ (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (- (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b)
(* 2 b)
(* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 2)))
(* -1 (* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2)))))))
(* -1 (* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* 2 (/ (* a c) b))
(* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b))))
(* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b))))
(* c (- (* c (- (* c (- (* 1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)) (* -4 (/ (pow a 3) (pow b 5))))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b))))
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(* c (- (/ b c) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ b c)) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* 2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (- (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (- (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (- (* -1 (/ (+ b (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* 2 (/ (* a c) b))
(* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b))))
(* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b))))
(* a (- (* a (- (* a (- (* 1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)) (* -4 (/ (pow c 3) (pow b 5))))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b))))
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(* a (- (/ b a) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ b a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* 2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (- (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (- (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (- (* -1 (/ (+ b (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(/ 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)
Outputs
(* -1 (/ b a))
(neg.f64 (/.f64 b a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/.f64 (-.f64 (/.f64 (*.f64 a c) b) b) a)
(/ (+ (* -1 b) (* a (+ (* 2 (* a (+ (* -1/2 (/ (pow c 2) (pow b 3))) (/ (pow c 2) (pow b 3))))) (/ c b)))) a)
(/.f64 (fma.f64 a (fma.f64 a (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b)))) (/.f64 c b)) (neg.f64 b)) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (* a (+ (* -1 (/ (* c (+ (* -1/2 (/ (pow c 2) (pow b 3))) (/ (pow c 2) (pow b 3)))) (pow b 2))) (+ (* -1 (/ (pow c 3) (pow b 5))) (* 1/8 (/ (* b (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) c)))))) (* 2 (+ (* -1/2 (/ (pow c 2) (pow b 3))) (/ (pow c 2) (pow b 3)))))) (/ c b)))) a)
(/.f64 (fma.f64 a (fma.f64 a (fma.f64 (-.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 20 binary64) b)) c) (/.f64 (*.f64 c (*.f64 c c)) (neg.f64 (pow.f64 b #s(literal 5 binary64))))) (/.f64 (*.f64 (*.f64 c #s(literal 1/2 binary64)) (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b)))) (*.f64 b b))) (*.f64 a #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))))) (/.f64 c b)) (neg.f64 b)) a)
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
(*.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))
(/ (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))) a)
(/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 b #s(literal -4 binary64)))) a)
(/ (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 2 (/ b (pow (sqrt -4) 2))) (* 2 (/ (+ (* -1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (pow a 2))))) a)
(/.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 b #s(literal -4 binary64))) (/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 a (*.f64 a a)) c)) (*.f64 b b)) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64))))) (*.f64 a a))) a)
(/ (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 2 (/ b (pow (sqrt -4) 2))) (+ (* 2 (/ (+ (* -1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (pow a 2))) (* 2 (/ (+ (* -1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt -4) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (sqrt -4)))) (pow a 3)))))) a)
(/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (+.f64 (/.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 b #s(literal -4 binary64))) (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 a (*.f64 a a)) c)) (*.f64 b b)) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64))))) (*.f64 a a)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 b (*.f64 b b)))) (*.f64 c (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 4 binary64)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 a (*.f64 a a)) c)) (*.f64 b b)) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))))) (sqrt.f64 #s(literal -4 binary64)))) (*.f64 a (*.f64 a a)))))) a)
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(neg.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))
(* -1 (/ (+ (* 1/2 b) (* (sqrt (* a c)) (sqrt -1))) a))
(/.f64 (fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (*.f64 b #s(literal 1/2 binary64))) (neg.f64 a))
(* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (+ (* -1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))) a)) (* -1/2 (* a b))) a)) (* (sqrt (* a c)) (sqrt -1))) a))
(/.f64 (-.f64 (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 a (*.f64 a a)) c)) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/16 binary64))) a) (*.f64 b (*.f64 a #s(literal -1/2 binary64)))) a)) (neg.f64 a))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (+ (* -1/32 (/ (* (pow a 2) (pow b 3)) c)) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (+ (* -1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))))))) a)) (* 2 (+ (* -1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))))) a)) (* -1/2 (* a b))) a)) (* (sqrt (* a c)) (sqrt -1))) a))
(/.f64 (-.f64 (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (-.f64 (*.f64 b (*.f64 a #s(literal -1/2 binary64))) (/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 b b) (*.f64 (sqrt.f64 (/.f64 (*.f64 a (*.f64 a a)) c)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 a (*.f64 a a)) c)) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/16 binary64)))) (*.f64 (*.f64 a a) (*.f64 (/.f64 (*.f64 b (*.f64 b b)) c) #s(literal -1/32 binary64))))) a)) a)) a)) (neg.f64 a))
(* -1 (/ b a))
(neg.f64 (/.f64 b a))
(+ (* -1 (/ b a)) (/ c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+ (* -1 (/ b a)) (* c (+ (* 2 (* c (+ (* -1/2 (/ a (pow b 3))) (/ a (pow b 3))))) (/ 1 b))))
(fma.f64 c (fma.f64 c (*.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 1 binary64) b)) (neg.f64 (/.f64 b a)))
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (* c (+ (* -1 (/ (* a (+ (* -1/2 (/ a (pow b 3))) (/ a (pow b 3)))) (pow b 2))) (+ (* -1 (/ (pow a 2) (pow b 5))) (* 1/8 (/ (* b (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (pow a 2))))))) (* 2 (+ (* -1/2 (/ a (pow b 3))) (/ a (pow b 3)))))) (/ 1 b))))
(-.f64 (*.f64 c (fma.f64 c (fma.f64 (+.f64 (neg.f64 (fma.f64 a (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b (*.f64 b b)))) (*.f64 b b)) (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))))) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 20 binary64) b))) (*.f64 a a))) (*.f64 c #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b (*.f64 b b))))) (/.f64 #s(literal 1 binary64) b))) (/.f64 b a))
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
(*.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2)))))
(fma.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) b) a))
(- (+ (* -1 (/ (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (pow c 2))) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))) (* -2 (/ b (* a (pow (sqrt -4) 2)))))
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(*.f64 a (fma.f64 a (fma.f64 a (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 20 binary64) a)) b) (*.f64 (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) #s(literal 4 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))))) (*.f64 #s(literal 2 binary64) (/.f64 c b))))
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(neg.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 a c))))
(* a (- (/ b a) (* (sqrt (/ c a)) (sqrt -4))))
(*.f64 a (-.f64 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))))
(* a (- (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(*.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c))))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) #s(literal -1/2 binary64)) (-.f64 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))))
(* a (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ b a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(*.f64 a (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c c) (*.f64 c (pow.f64 a #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)) (/.f64 b a)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c))))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))))
(* 2 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (sqrt.f64 (*.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(* -1 (* a (- (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(*.f64 (+.f64 (neg.f64 (/.f64 b a)) (*.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)))) (neg.f64 a))
(* -1 (* a (- (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(neg.f64 (*.f64 a (+.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)) b) (neg.f64 a)) (*.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a))))))
(* -1 (* a (- (* -1 (/ (+ b (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(neg.f64 (*.f64 a (+.f64 (/.f64 (-.f64 b (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/64 binary64)) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 (/.f64 a c)))) a)) (neg.f64 a)) (*.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a))))))
(/ a b)
(/.f64 a b)
(/ a b)
(/.f64 a b)
(/ a b)
(/.f64 a b)
(/ a b)
(/.f64 a b)
(/ a b)
(/.f64 a b)
(/ a b)
(/.f64 a b)
(/ a b)
(/.f64 a b)
(/ a b)
(/.f64 a b)
(/ a b)
(/.f64 a b)
(/ a b)
(/.f64 a b)
(/ a b)
(/.f64 a b)
(/ a b)
(/.f64 a b)
(/ a b)
(/.f64 a b)
(/ a b)
(/.f64 a b)
(/ a b)
(/.f64 a b)
(/ a b)
(/.f64 a b)
(/ a b)
(/.f64 a b)
(/ a b)
(/.f64 a b)
(/ a b)
(/.f64 a b)
(/ a b)
(/.f64 a b)
(/ a b)
(/.f64 a b)
(/ a b)
(/.f64 a b)
(/ a b)
(/.f64 a b)
(/ a b)
(/.f64 a b)

eval168.0ms (1.3%)

Memory
51.9MiB live, 386.2MiB allocated
Compiler

Compiled 30 677 to 3 275 computations (89.3% saved)

prune240.0ms (1.8%)

Memory
-20.2MiB live, 519.0MiB allocated
Pruning

36 alts after pruning (27 fresh and 9 done)

PrunedKeptTotal
New1 389171 406
Fresh91019
Picked235
Done167
Total1 401361 437
Accuracy
99.7%
Counts
1 437 → 36
Alt Table
Click to see full alt table
StatusAccuracyProgram
32.8%
(fma.f64 b (/.f64 c (*.f64 b b)) (neg.f64 (/.f64 b a)))
14.5%
(/.f64 (fma.f64 (sqrt.f64 (*.f64 a #s(literal -4 binary64))) (neg.f64 (sqrt.f64 c)) b) (*.f64 #s(literal 2 binary64) a))
18.0%
(/.f64 (fma.f64 (sqrt.f64 a) (neg.f64 (sqrt.f64 (*.f64 c #s(literal -4 binary64)))) b) (*.f64 #s(literal 2 binary64) a))
12.7%
(/.f64 (/.f64 c a) (/.f64 b a))
33.4%
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))
33.5%
(/.f64 (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64)))
31.9%
(/.f64 (*.f64 (/.f64 a b) c) (neg.f64 a))
34.1%
(/.f64 (*.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) a)) b)
31.3%
(/.f64 (*.f64 (*.f64 a c) (/.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 2 binary64) a))
49.2%
(/.f64 (*.f64 (*.f64 a c) #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))))))))
53.6%
(/.f64 (*.f64 (*.f64 #s(literal 1 binary64) (*.f64 c #s(literal 1/2 binary64))) #s(literal -4 binary64)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))
12.6%
(/.f64 (*.f64 c (*.f64 a #s(literal 2 binary64))) (*.f64 (*.f64 a #s(literal 2 binary64)) b))
37.8%
(/.f64 (neg.f64 c) b)
14.4%
(/.f64 (neg.f64 a) (*.f64 (/.f64 a (neg.f64 c)) b))
12.8%
(/.f64 c b)
2.5%
(/.f64 b a)
34.1%
(/.f64 a (*.f64 (/.f64 a (neg.f64 c)) b))
14.4%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 a (neg.f64 c)) b) (neg.f64 a)))
2.5%
(/.f64 #s(literal 1 binary64) (/.f64 a b))
18.0%
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b (*.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) c)) (sqrt.f64 a)))))
25.8%
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b (sqrt.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64))))))
25.8%
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))))) a))
33.5%
(/.f64 #s(literal -1 binary64) (/.f64 a b))
33.4%
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) b) a))
2.5%
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) b) a))
33.4%
(-.f64 (/.f64 c b) (/.f64 b a))
34.4%
(*.f64 (/.f64 (/.f64 c (neg.f64 a)) b) a)
17.4%
(*.f64 (/.f64 (*.f64 c #s(literal -2 binary64)) (*.f64 a #s(literal 2 binary64))) (exp.f64 (*.f64 (log.f64 (/.f64 b a)) #s(literal -1 binary64))))
2.5%
(*.f64 (/.f64 #s(literal 1 binary64) a) b)
50.8%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
33.5%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64)))))
37.8%
(*.f64 (/.f64 #s(literal -1 binary64) b) c)
33.5%
(*.f64 (/.f64 #s(literal -1 binary64) a) b)
33.7%
(*.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a (*.f64 (*.f64 a #s(literal 2 binary64)) b)))
33.6%
(neg.f64 (/.f64 b a))
2.2%
(neg.f64 (*.f64 b (fma.f64 #s(literal -1/2 binary64) (neg.f64 (/.f64 c (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) a))))
Compiler

Compiled 1 180 to 517 computations (56.2% saved)

regimes125.0ms (1%)

Memory
9.9MiB live, 244.0MiB allocated
Counts
61 → 4
Calls
Call 1
Inputs
(/.f64 b a)
(/.f64 c b)
(neg.f64 (/.f64 b a))
(/.f64 c (neg.f64 b))
(/.f64 (neg.f64 c) b)
(*.f64 (/.f64 #s(literal -1 binary64) a) b)
(*.f64 (/.f64 #s(literal -1 binary64) b) c)
(*.f64 (/.f64 #s(literal 1 binary64) a) b)
(*.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) a))
(/.f64 #s(literal -1 binary64) (/.f64 a b))
(/.f64 #s(literal 1 binary64) (/.f64 a b))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) b) a))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) b) a))
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b (neg.f64 b))))
(*.f64 (/.f64 (/.f64 c (neg.f64 a)) b) a)
(/.f64 a (*.f64 (/.f64 a (neg.f64 c)) b))
(/.f64 (*.f64 (/.f64 a b) c) (neg.f64 a))
(*.f64 (*.f64 a c) (/.f64 #s(literal -2 binary64) (*.f64 a (*.f64 #s(literal 2 binary64) b))))
(*.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a (*.f64 a (*.f64 #s(literal 2 binary64) b))))
(*.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a (*.f64 (*.f64 a #s(literal 2 binary64)) b)))
(/.f64 (neg.f64 a) (*.f64 (/.f64 a (neg.f64 c)) b))
(/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 a (*.f64 #s(literal 2 binary64) b)))
(/.f64 (*.f64 c (*.f64 a #s(literal 2 binary64))) (*.f64 (*.f64 a #s(literal 2 binary64)) b))
(/.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))
(/.f64 (/.f64 c a) (/.f64 b a))
(fma.f64 b (/.f64 c (*.f64 b b)) (neg.f64 (/.f64 b a)))
(*.f64 a (/.f64 (/.f64 (*.f64 c #s(literal -2 binary64)) b) (*.f64 a #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (*.f64 (*.f64 a c) #s(literal 2 binary64)) b))
(*.f64 (/.f64 (*.f64 c #s(literal -2 binary64)) (*.f64 a #s(literal 2 binary64))) (/.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))) (/.f64 #s(literal 1/2 binary64) a)) b)
(/.f64 (*.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a 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 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))))) a)
(/.f64 (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))
(neg.f64 (*.f64 b (fma.f64 #s(literal -1/2 binary64) (neg.f64 (/.f64 c (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) a))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 a (neg.f64 c)) b) (neg.f64 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 #s(literal 1/2 binary64) (/.f64 a (-.f64 b (sqrt.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64))))))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (fma.f64 (sqrt.f64 a) (neg.f64 (sqrt.f64 (*.f64 c #s(literal -4 binary64)))) b) (*.f64 #s(literal 2 binary64) a))
(/.f64 (fma.f64 (sqrt.f64 (*.f64 a #s(literal -4 binary64))) (neg.f64 (sqrt.f64 c)) b) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))))) a))
(/.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 #s(literal 1/2 binary64) (/.f64 a (-.f64 b (*.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) c)) (sqrt.f64 a)))))
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b (*.f64 (sqrt.f64 (*.f64 a #s(literal -4 binary64))) (sqrt.f64 c)))))
(/.f64 (*.f64 (*.f64 #s(literal 1 binary64) (*.f64 c #s(literal 1/2 binary64))) #s(literal -4 binary64)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))
(/.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))
(fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64))))
(fma.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a) #s(literal -1/2 binary64) (/.f64 b (*.f64 a #s(literal -2 binary64))))
(*.f64 (*.f64 b (*.f64 b b)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 c (*.f64 a a))) (/.f64 #s(literal -3/2 binary64) (*.f64 a (*.f64 b b)))))
(/.f64 (*.f64 (*.f64 a c) #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 (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 (/.f64 (-.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (*.f64 b b)) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (-.f64 (/.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a a))) (/.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))))
(*.f64 (/.f64 (*.f64 c #s(literal -2 binary64)) (*.f64 a #s(literal 2 binary64))) (exp.f64 (*.f64 (log.f64 (/.f64 b a)) #s(literal -1 binary64))))
Outputs
(/.f64 c (neg.f64 b))
(/.f64 (*.f64 (*.f64 #s(literal 1 binary64) (*.f64 c #s(literal 1/2 binary64))) #s(literal -4 binary64)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))
(fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64))))
(neg.f64 (/.f64 b a))
Calls

4 calls:

43.0ms
a
41.0ms
b
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))
18.0ms
c
Results
AccuracySegmentsBranch
60.1%3a
92.1%4b
56.6%2c
74.7%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)

regimes22.0ms (0.2%)

Memory
-32.3MiB live, 50.0MiB allocated
Counts
52 → 4
Calls
Call 1
Inputs
(/.f64 b a)
(/.f64 c b)
(neg.f64 (/.f64 b a))
(/.f64 c (neg.f64 b))
(/.f64 (neg.f64 c) b)
(*.f64 (/.f64 #s(literal -1 binary64) a) b)
(*.f64 (/.f64 #s(literal -1 binary64) b) c)
(*.f64 (/.f64 #s(literal 1 binary64) a) b)
(*.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) a))
(/.f64 #s(literal -1 binary64) (/.f64 a b))
(/.f64 #s(literal 1 binary64) (/.f64 a b))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) b) a))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) b) a))
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b (neg.f64 b))))
(*.f64 (/.f64 (/.f64 c (neg.f64 a)) b) a)
(/.f64 a (*.f64 (/.f64 a (neg.f64 c)) b))
(/.f64 (*.f64 (/.f64 a b) c) (neg.f64 a))
(*.f64 (*.f64 a c) (/.f64 #s(literal -2 binary64) (*.f64 a (*.f64 #s(literal 2 binary64) b))))
(*.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a (*.f64 a (*.f64 #s(literal 2 binary64) b))))
(*.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a (*.f64 (*.f64 a #s(literal 2 binary64)) b)))
(/.f64 (neg.f64 a) (*.f64 (/.f64 a (neg.f64 c)) b))
(/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 a (*.f64 #s(literal 2 binary64) b)))
(/.f64 (*.f64 c (*.f64 a #s(literal 2 binary64))) (*.f64 (*.f64 a #s(literal 2 binary64)) b))
(/.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))
(/.f64 (/.f64 c a) (/.f64 b a))
(fma.f64 b (/.f64 c (*.f64 b b)) (neg.f64 (/.f64 b a)))
(*.f64 a (/.f64 (/.f64 (*.f64 c #s(literal -2 binary64)) b) (*.f64 a #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (*.f64 (*.f64 a c) #s(literal 2 binary64)) b))
(*.f64 (/.f64 (*.f64 c #s(literal -2 binary64)) (*.f64 a #s(literal 2 binary64))) (/.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))) (/.f64 #s(literal 1/2 binary64) a)) b)
(/.f64 (*.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a 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 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))))) a)
(/.f64 (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))
(neg.f64 (*.f64 b (fma.f64 #s(literal -1/2 binary64) (neg.f64 (/.f64 c (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) a))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 a (neg.f64 c)) b) (neg.f64 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 #s(literal 1/2 binary64) (/.f64 a (-.f64 b (sqrt.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64))))))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (fma.f64 (sqrt.f64 a) (neg.f64 (sqrt.f64 (*.f64 c #s(literal -4 binary64)))) b) (*.f64 #s(literal 2 binary64) a))
(/.f64 (fma.f64 (sqrt.f64 (*.f64 a #s(literal -4 binary64))) (neg.f64 (sqrt.f64 c)) b) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))))) a))
(/.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 #s(literal 1/2 binary64) (/.f64 a (-.f64 b (*.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) c)) (sqrt.f64 a)))))
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b (*.f64 (sqrt.f64 (*.f64 a #s(literal -4 binary64))) (sqrt.f64 c)))))
(/.f64 (*.f64 (*.f64 #s(literal 1 binary64) (*.f64 c #s(literal 1/2 binary64))) #s(literal -4 binary64)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))
(/.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))
Outputs
(/.f64 c (neg.f64 b))
(/.f64 (*.f64 (*.f64 #s(literal 1 binary64) (*.f64 c #s(literal 1/2 binary64))) #s(literal -4 binary64)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b 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))
(neg.f64 (/.f64 b a))
Calls

1 calls:

20.0ms
b
Results
AccuracySegmentsBranch
92.1%4b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes18.0ms (0.1%)

Memory
2.5MiB live, 41.9MiB allocated
Counts
50 → 3
Calls
Call 1
Inputs
(/.f64 b a)
(/.f64 c b)
(neg.f64 (/.f64 b a))
(/.f64 c (neg.f64 b))
(/.f64 (neg.f64 c) b)
(*.f64 (/.f64 #s(literal -1 binary64) a) b)
(*.f64 (/.f64 #s(literal -1 binary64) b) c)
(*.f64 (/.f64 #s(literal 1 binary64) a) b)
(*.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) a))
(/.f64 #s(literal -1 binary64) (/.f64 a b))
(/.f64 #s(literal 1 binary64) (/.f64 a b))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) b) a))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) b) a))
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b (neg.f64 b))))
(*.f64 (/.f64 (/.f64 c (neg.f64 a)) b) a)
(/.f64 a (*.f64 (/.f64 a (neg.f64 c)) b))
(/.f64 (*.f64 (/.f64 a b) c) (neg.f64 a))
(*.f64 (*.f64 a c) (/.f64 #s(literal -2 binary64) (*.f64 a (*.f64 #s(literal 2 binary64) b))))
(*.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a (*.f64 a (*.f64 #s(literal 2 binary64) b))))
(*.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a (*.f64 (*.f64 a #s(literal 2 binary64)) b)))
(/.f64 (neg.f64 a) (*.f64 (/.f64 a (neg.f64 c)) b))
(/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 a (*.f64 #s(literal 2 binary64) b)))
(/.f64 (*.f64 c (*.f64 a #s(literal 2 binary64))) (*.f64 (*.f64 a #s(literal 2 binary64)) b))
(/.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))
(/.f64 (/.f64 c a) (/.f64 b a))
(fma.f64 b (/.f64 c (*.f64 b b)) (neg.f64 (/.f64 b a)))
(*.f64 a (/.f64 (/.f64 (*.f64 c #s(literal -2 binary64)) b) (*.f64 a #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (*.f64 (*.f64 a c) #s(literal 2 binary64)) b))
(*.f64 (/.f64 (*.f64 c #s(literal -2 binary64)) (*.f64 a #s(literal 2 binary64))) (/.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))) (/.f64 #s(literal 1/2 binary64) a)) b)
(/.f64 (*.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a 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 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))))) a)
(/.f64 (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))
(neg.f64 (*.f64 b (fma.f64 #s(literal -1/2 binary64) (neg.f64 (/.f64 c (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) a))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 a (neg.f64 c)) b) (neg.f64 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 #s(literal 1/2 binary64) (/.f64 a (-.f64 b (sqrt.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64))))))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (fma.f64 (sqrt.f64 a) (neg.f64 (sqrt.f64 (*.f64 c #s(literal -4 binary64)))) b) (*.f64 #s(literal 2 binary64) a))
(/.f64 (fma.f64 (sqrt.f64 (*.f64 a #s(literal -4 binary64))) (neg.f64 (sqrt.f64 c)) b) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))))) a))
(/.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 #s(literal 1/2 binary64) (/.f64 a (-.f64 b (*.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) c)) (sqrt.f64 a)))))
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b (*.f64 (sqrt.f64 (*.f64 a #s(literal -4 binary64))) (sqrt.f64 c)))))
Outputs
(/.f64 c (neg.f64 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))
(neg.f64 (/.f64 b a))
Calls

1 calls:

15.0ms
b
Results
AccuracySegmentsBranch
88.9%3b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes16.0ms (0.1%)

Memory
4.1MiB live, 43.0MiB allocated
Counts
43 → 3
Calls
Call 1
Inputs
(/.f64 b a)
(/.f64 c b)
(neg.f64 (/.f64 b a))
(/.f64 c (neg.f64 b))
(/.f64 (neg.f64 c) b)
(*.f64 (/.f64 #s(literal -1 binary64) a) b)
(*.f64 (/.f64 #s(literal -1 binary64) b) c)
(*.f64 (/.f64 #s(literal 1 binary64) a) b)
(*.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) a))
(/.f64 #s(literal -1 binary64) (/.f64 a b))
(/.f64 #s(literal 1 binary64) (/.f64 a b))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) b) a))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) b) a))
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b (neg.f64 b))))
(*.f64 (/.f64 (/.f64 c (neg.f64 a)) b) a)
(/.f64 a (*.f64 (/.f64 a (neg.f64 c)) b))
(/.f64 (*.f64 (/.f64 a b) c) (neg.f64 a))
(*.f64 (*.f64 a c) (/.f64 #s(literal -2 binary64) (*.f64 a (*.f64 #s(literal 2 binary64) b))))
(*.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a (*.f64 a (*.f64 #s(literal 2 binary64) b))))
(*.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a (*.f64 (*.f64 a #s(literal 2 binary64)) b)))
(/.f64 (neg.f64 a) (*.f64 (/.f64 a (neg.f64 c)) b))
(/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 a (*.f64 #s(literal 2 binary64) b)))
(/.f64 (*.f64 c (*.f64 a #s(literal 2 binary64))) (*.f64 (*.f64 a #s(literal 2 binary64)) b))
(/.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))
(/.f64 (/.f64 c a) (/.f64 b a))
(fma.f64 b (/.f64 c (*.f64 b b)) (neg.f64 (/.f64 b a)))
(*.f64 a (/.f64 (/.f64 (*.f64 c #s(literal -2 binary64)) b) (*.f64 a #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (*.f64 (*.f64 a c) #s(literal 2 binary64)) b))
(*.f64 (/.f64 (*.f64 c #s(literal -2 binary64)) (*.f64 a #s(literal 2 binary64))) (/.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))) (/.f64 #s(literal 1/2 binary64) a)) b)
(/.f64 (*.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a 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 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))))) a)
(/.f64 (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))
(neg.f64 (*.f64 b (fma.f64 #s(literal -1/2 binary64) (neg.f64 (/.f64 c (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) a))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 a (neg.f64 c)) b) (neg.f64 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 #s(literal 1/2 binary64) (/.f64 a (-.f64 b (sqrt.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64))))))
Outputs
(/.f64 c (neg.f64 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)))))))
(neg.f64 (/.f64 b a))
Calls

1 calls:

13.0ms
b
Results
AccuracySegmentsBranch
88.8%3b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes15.0ms (0.1%)

Memory
1.3MiB live, 40.2MiB allocated
Counts
41 → 3
Calls
Call 1
Inputs
(/.f64 b a)
(/.f64 c b)
(neg.f64 (/.f64 b a))
(/.f64 c (neg.f64 b))
(/.f64 (neg.f64 c) b)
(*.f64 (/.f64 #s(literal -1 binary64) a) b)
(*.f64 (/.f64 #s(literal -1 binary64) b) c)
(*.f64 (/.f64 #s(literal 1 binary64) a) b)
(*.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) a))
(/.f64 #s(literal -1 binary64) (/.f64 a b))
(/.f64 #s(literal 1 binary64) (/.f64 a b))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) b) a))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) b) a))
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b (neg.f64 b))))
(*.f64 (/.f64 (/.f64 c (neg.f64 a)) b) a)
(/.f64 a (*.f64 (/.f64 a (neg.f64 c)) b))
(/.f64 (*.f64 (/.f64 a b) c) (neg.f64 a))
(*.f64 (*.f64 a c) (/.f64 #s(literal -2 binary64) (*.f64 a (*.f64 #s(literal 2 binary64) b))))
(*.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a (*.f64 a (*.f64 #s(literal 2 binary64) b))))
(*.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a (*.f64 (*.f64 a #s(literal 2 binary64)) b)))
(/.f64 (neg.f64 a) (*.f64 (/.f64 a (neg.f64 c)) b))
(/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 a (*.f64 #s(literal 2 binary64) b)))
(/.f64 (*.f64 c (*.f64 a #s(literal 2 binary64))) (*.f64 (*.f64 a #s(literal 2 binary64)) b))
(/.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))
(/.f64 (/.f64 c a) (/.f64 b a))
(fma.f64 b (/.f64 c (*.f64 b b)) (neg.f64 (/.f64 b a)))
(*.f64 a (/.f64 (/.f64 (*.f64 c #s(literal -2 binary64)) b) (*.f64 a #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (*.f64 (*.f64 a c) #s(literal 2 binary64)) b))
(*.f64 (/.f64 (*.f64 c #s(literal -2 binary64)) (*.f64 a #s(literal 2 binary64))) (/.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))) (/.f64 #s(literal 1/2 binary64) a)) b)
(/.f64 (*.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a 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 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))))) a)
(/.f64 (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))
(neg.f64 (*.f64 b (fma.f64 #s(literal -1/2 binary64) (neg.f64 (/.f64 c (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) a))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 a (neg.f64 c)) b) (neg.f64 a)))
Outputs
(/.f64 c (neg.f64 b))
(/.f64 (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64)))
(-.f64 (/.f64 c b) (/.f64 b a))
Calls

1 calls:

13.0ms
b
Results
AccuracySegmentsBranch
85.0%3b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes15.0ms (0.1%)

Memory
-10.5MiB live, 31.7MiB allocated
Counts
37 → 3
Calls
Call 1
Inputs
(/.f64 b a)
(/.f64 c b)
(neg.f64 (/.f64 b a))
(/.f64 c (neg.f64 b))
(/.f64 (neg.f64 c) b)
(*.f64 (/.f64 #s(literal -1 binary64) a) b)
(*.f64 (/.f64 #s(literal -1 binary64) b) c)
(*.f64 (/.f64 #s(literal 1 binary64) a) b)
(*.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) a))
(/.f64 #s(literal -1 binary64) (/.f64 a b))
(/.f64 #s(literal 1 binary64) (/.f64 a b))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) b) a))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) b) a))
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b (neg.f64 b))))
(*.f64 (/.f64 (/.f64 c (neg.f64 a)) b) a)
(/.f64 a (*.f64 (/.f64 a (neg.f64 c)) b))
(/.f64 (*.f64 (/.f64 a b) c) (neg.f64 a))
(*.f64 (*.f64 a c) (/.f64 #s(literal -2 binary64) (*.f64 a (*.f64 #s(literal 2 binary64) b))))
(*.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a (*.f64 a (*.f64 #s(literal 2 binary64) b))))
(*.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a (*.f64 (*.f64 a #s(literal 2 binary64)) b)))
(/.f64 (neg.f64 a) (*.f64 (/.f64 a (neg.f64 c)) b))
(/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 a (*.f64 #s(literal 2 binary64) b)))
(/.f64 (*.f64 c (*.f64 a #s(literal 2 binary64))) (*.f64 (*.f64 a #s(literal 2 binary64)) b))
(/.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))
(/.f64 (/.f64 c a) (/.f64 b a))
(fma.f64 b (/.f64 c (*.f64 b b)) (neg.f64 (/.f64 b a)))
(*.f64 a (/.f64 (/.f64 (*.f64 c #s(literal -2 binary64)) b) (*.f64 a #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (*.f64 (*.f64 a c) #s(literal 2 binary64)) b))
(*.f64 (/.f64 (*.f64 c #s(literal -2 binary64)) (*.f64 a #s(literal 2 binary64))) (/.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))) (/.f64 #s(literal 1/2 binary64) a)) b)
(/.f64 (*.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a 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 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))))) a)
Outputs
(/.f64 c (neg.f64 b))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64)))))
(-.f64 (/.f64 c b) (/.f64 b a))
Calls

1 calls:

11.0ms
b
Results
AccuracySegmentsBranch
85.0%3b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes127.0ms (1%)

Memory
23.0MiB live, 62.2MiB allocated
Counts
35 → 2
Calls
Call 1
Inputs
(/.f64 b a)
(/.f64 c b)
(neg.f64 (/.f64 b a))
(/.f64 c (neg.f64 b))
(/.f64 (neg.f64 c) b)
(*.f64 (/.f64 #s(literal -1 binary64) a) b)
(*.f64 (/.f64 #s(literal -1 binary64) b) c)
(*.f64 (/.f64 #s(literal 1 binary64) a) b)
(*.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) a))
(/.f64 #s(literal -1 binary64) (/.f64 a b))
(/.f64 #s(literal 1 binary64) (/.f64 a b))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) b) a))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) b) a))
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b (neg.f64 b))))
(*.f64 (/.f64 (/.f64 c (neg.f64 a)) b) a)
(/.f64 a (*.f64 (/.f64 a (neg.f64 c)) b))
(/.f64 (*.f64 (/.f64 a b) c) (neg.f64 a))
(*.f64 (*.f64 a c) (/.f64 #s(literal -2 binary64) (*.f64 a (*.f64 #s(literal 2 binary64) b))))
(*.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a (*.f64 a (*.f64 #s(literal 2 binary64) b))))
(*.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a (*.f64 (*.f64 a #s(literal 2 binary64)) b)))
(/.f64 (neg.f64 a) (*.f64 (/.f64 a (neg.f64 c)) b))
(/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 a (*.f64 #s(literal 2 binary64) b)))
(/.f64 (*.f64 c (*.f64 a #s(literal 2 binary64))) (*.f64 (*.f64 a #s(literal 2 binary64)) b))
(/.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))
(/.f64 (/.f64 c a) (/.f64 b a))
(fma.f64 b (/.f64 c (*.f64 b b)) (neg.f64 (/.f64 b a)))
(*.f64 a (/.f64 (/.f64 (*.f64 c #s(literal -2 binary64)) b) (*.f64 a #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (*.f64 (*.f64 a c) #s(literal 2 binary64)) b))
(*.f64 (/.f64 (*.f64 c #s(literal -2 binary64)) (*.f64 a #s(literal 2 binary64))) (/.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))) (/.f64 #s(literal 1/2 binary64) a)) b)
(/.f64 (*.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a b)) (*.f64 #s(literal 2 binary64) a))
(/.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b) (*.f64 #s(literal 2 binary64) a))
Outputs
(/.f64 c (neg.f64 b))
(-.f64 (/.f64 c b) (/.f64 b a))
Calls

2 calls:

115.0ms
(/.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))
10.0ms
b
Results
AccuracySegmentsBranch
50.5%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))
68.8%2b
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes5.0ms (0%)

Memory
11.4MiB live, 11.4MiB allocated
Counts
11 → 2
Calls
Call 1
Inputs
(/.f64 b a)
(/.f64 c b)
(neg.f64 (/.f64 b a))
(/.f64 c (neg.f64 b))
(/.f64 (neg.f64 c) b)
(*.f64 (/.f64 #s(literal -1 binary64) a) b)
(*.f64 (/.f64 #s(literal -1 binary64) b) c)
(*.f64 (/.f64 #s(literal 1 binary64) a) b)
(*.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) a))
(/.f64 #s(literal -1 binary64) (/.f64 a b))
(/.f64 #s(literal 1 binary64) (/.f64 a b))
Outputs
(/.f64 c (neg.f64 b))
(neg.f64 (/.f64 b a))
Calls

1 calls:

4.0ms
b
Results
AccuracySegmentsBranch
68.8%2b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes17.0ms (0.1%)

Memory
-14.5MiB live, 25.2MiB allocated
Counts
3 → 2
Calls
Call 1
Inputs
(/.f64 b a)
(/.f64 c b)
(neg.f64 (/.f64 b a))
Outputs
(/.f64 c b)
(neg.f64 (/.f64 b a))
Calls

4 calls:

11.0ms
b
2.0ms
a
2.0ms
(/.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))
2.0ms
c
Results
AccuracySegmentsBranch
33.6%1(/.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))
33.6%1c
33.6%1a
43.6%2b
Compiler

Compiled 32 to 23 computations (28.1% saved)

regimes8.0ms (0.1%)

Memory
-15.8MiB live, 23.3MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
(/.f64 b a)
(/.f64 c b)
Outputs
(/.f64 c b)
Calls

4 calls:

2.0ms
(/.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))
2.0ms
c
2.0ms
b
2.0ms
a
Results
AccuracySegmentsBranch
12.8%1(/.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))
12.8%1a
12.8%1c
12.8%1b
Compiler

Compiled 32 to 23 computations (28.1% saved)

regimes6.0ms (0%)

Memory
19.7MiB live, 19.7MiB 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

4 calls:

1.0ms
a
1.0ms
c
1.0ms
b
1.0ms
(/.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))
Results
AccuracySegmentsBranch
2.5%1a
2.5%1c
2.5%1b
2.5%1(/.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)

bsearch70.0ms (0.5%)

Memory
13.1MiB live, 169.8MiB allocated
Algorithm
binary-search
Stop Event
predicate-same
narrow-enough
predicate-same
Steps
TimeLeftRight
14.0ms
2.9969090289500013e+97
3.89727806356861e+110
29.0ms
-3.722505631255059e-290
-1.0778890938016798e-302
19.0ms
-9.962383559955747e+157
-4.17960469951597e+148
Samples
23.0ms279×0valid
9.0ms28×2valid
8.0ms99×0invalid
5.0ms37×1valid
2.0ms3valid
1.0ms4valid
Compiler

Compiled 838 to 587 computations (30% saved)

Precisions
Click to see histograms. Total time spent on operations: 33.0ms
ival-mult: 11.0ms (33.2% of total)
ival-div: 7.0ms (21.2% of total)
ival-sqrt: 5.0ms (15.1% of total)
ival-sub: 5.0ms (15.1% of total)
ival-neg: 3.0ms (9.1% of total)
adjust: 1.0ms (3% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch78.0ms (0.6%)

Memory
-35.6MiB live, 209.3MiB allocated
Algorithm
binary-search
Stop Event
predicate-same
narrow-enough
predicate-same
Steps
TimeLeftRight
4.0ms
2.9969090289500013e+97
3.89727806356861e+110
31.0ms
-3.722505631255059e-290
-1.0778890938016798e-302
34.0ms
-9.962383559955747e+157
-4.17960469951597e+148
Samples
19.0ms206×0valid
11.0ms57×2valid
10.0ms91×0invalid
9.0ms58×1valid
3.0ms12×3valid
1.0ms5exit
1.0ms4valid
Compiler

Compiled 800 to 570 computations (28.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 41.0ms
ival-mult: 17.0ms (41.9% of total)
ival-sub: 7.0ms (17.2% of total)
ival-sqrt: 5.0ms (12.3% of total)
ival-div: 4.0ms (9.9% of total)
ival-neg: 4.0ms (9.9% of total)
adjust: 2.0ms (4.9% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch53.0ms (0.4%)

Memory
37.4MiB live, 75.2MiB allocated
Algorithm
binary-search
Stop Event
predicate-same
narrow-enough
Steps
TimeLeftRight
2.0ms
2.9969090289500013e+97
3.89727806356861e+110
46.0ms
-1.3586694389030927e-49
-1.7005194286952313e-62
Samples
26.0ms99×0valid
7.0ms53×1valid
4.0ms20×2valid
3.0ms45×0invalid
1.0ms4valid
0.0ms3valid
Compiler

Compiled 342 to 251 computations (26.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 34.0ms
ival-mult: 24.0ms (69.6% of total)
ival-sub: 3.0ms (8.7% of total)
ival-div: 2.0ms (5.8% of total)
ival-neg: 2.0ms (5.8% of total)
ival-sqrt: 2.0ms (5.8% of total)
adjust: 1.0ms (2.9% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch95.0ms (0.7%)

Memory
-23.9MiB live, 98.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
31.0ms
2.9969090289500013e+97
3.89727806356861e+110
59.0ms
-1.3586694389030927e-49
-1.7005194286952313e-62
Samples
34.0ms24×2valid
20.0ms252×0valid
6.0ms42×1valid
4.0ms54×0invalid
0.0ms3valid
Compiler

Compiled 563 to 400 computations (29% saved)

Precisions
Click to see histograms. Total time spent on operations: 54.0ms
ival-neg: 31.0ms (57.4% of total)
ival-mult: 9.0ms (16.7% of total)
ival-div: 4.0ms (7.4% of total)
ival-sub: 4.0ms (7.4% of total)
ival-sqrt: 3.0ms (5.6% of total)
adjust: 1.0ms (1.9% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch65.0ms (0.5%)

Memory
-7.9MiB live, 146.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
18.0ms
3.6042461362416836e-7
0.00010889492900175674
38.0ms
-1.3586694389030927e-49
-1.7005194286952313e-62
Samples
20.0ms219×0valid
7.0ms44×1valid
6.0ms68×0invalid
5.0ms24×2valid
0.0ms4valid
Compiler

Compiled 479 to 352 computations (26.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-mult: 9.0ms (37.6% of total)
ival-sub: 4.0ms (16.7% of total)
ival-div: 3.0ms (12.5% of total)
ival-sqrt: 3.0ms (12.5% of total)
ival-neg: 2.0ms (8.3% of total)
adjust: 1.0ms (4.2% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch58.0ms (0.4%)

Memory
36.0MiB live, 196.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
21.0ms
3.6042461362416836e-7
0.00010889492900175674
32.0ms
-1.3586694389030927e-49
-1.7005194286952313e-62
Samples
20.0ms212×0valid
9.0ms47×1valid
6.0ms27×2valid
5.0ms64×0invalid
1.0ms3valid
Compiler

Compiled 479 to 352 computations (26.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
ival-mult: 12.0ms (40% of total)
ival-sub: 7.0ms (23.3% of total)
ival-sqrt: 4.0ms (13.3% of total)
ival-div: 3.0ms (10% of total)
ival-neg: 2.0ms (6.7% of total)
adjust: 1.0ms (3.3% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch42.0ms (0.3%)

Memory
-31.3MiB live, 130.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
36.0ms
-1.0778890938016798e-302
3.0226658265978886e-290
Samples
20.0ms176×0valid
9.0ms113×0invalid
Compiler

Compiled 232 to 163 computations (29.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-mult: 7.0ms (35.6% of total)
ival-neg: 6.0ms (30.5% of total)
ival-sub: 3.0ms (15.3% of total)
ival-div: 2.0ms (10.2% of total)
ival-sqrt: 2.0ms (10.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch36.0ms (0.3%)

Memory
23.5MiB live, 102.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
32.0ms
-1.0778890938016798e-302
3.0226658265978886e-290
Samples
14.0ms176×0valid
10.0ms119×0invalid
Compiler

Compiled 199 to 152 computations (23.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-mult: 6.0ms (38.1% of total)
ival-sub: 4.0ms (25.4% of total)
ival-div: 2.0ms (12.7% of total)
ival-sqrt: 2.0ms (12.7% of total)
ival-neg: 1.0ms (6.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch35.0ms (0.3%)

Memory
3.8MiB live, 84.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
31.0ms
-2.2809615057482814e+79
-2.1714478498325065e+73
Samples
11.0ms48×2valid
10.0ms65×1valid
2.0ms22×0valid
2.0ms3valid
1.0ms0invalid
1.0ms4valid
Compiler

Compiled 158 to 119 computations (24.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-mult: 7.0ms (37.3% of total)
ival-sub: 3.0ms (16% of total)
ival-sqrt: 3.0ms (16% of total)
adjust: 2.0ms (10.7% of total)
ival-div: 2.0ms (10.7% of total)
ival-neg: 2.0ms (10.7% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

simplify19.0ms (0.1%)

Memory
-23.1MiB live, 55.5MiB allocated
Algorithm
egg-herbie
Rules
56×*-commutative_binary64
44×+-commutative_binary64
36×sub-neg_binary64
28×neg-sub0_binary64
28×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0101279
1141279
2170279
3199279
4215279
5227279
6232279
7235279
8236279
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 b #s(literal -5000000000000000184737728440291132704904589914921344225961389276075271829673609798608256554852704163723255876843616333657168501674786702085523096224137216 binary64)) (/.f64 c (neg.f64 b)) (if (<=.f64 b #s(literal -8493136544725101/772103322247736428651791941524190166662432288223808740069966728315087660095197093551484618001698015194652854401843307157096133183997320086925557708514169730840749451738610692460887556999562135090788908685580234789131193097780962748024381086918485856402626253175196722230275782071039209488625822100242638638716536487936 binary64)) (/.f64 (*.f64 (*.f64 #s(literal 1 binary64) (*.f64 c #s(literal 1/2 binary64))) #s(literal -4 binary64)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) (if (<=.f64 b #s(literal 60000000000000001388087990353133928090735862891772871326335956917172916099827106204162481058576260776591360 binary64)) (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64)))) (neg.f64 (/.f64 b a)))))
(if (<=.f64 b #s(literal -41999999999999999785651502732550331375396634498277073472162527584918128691265287319273948874017101084963715236112289246623364163002022536822665510912 binary64)) (/.f64 c (neg.f64 b)) (if (<=.f64 b #s(literal -205089944972055/3016028602530220424421062271578867838525126125874252890898307532480811172246863646685486789069132871854112712507200418582406770249989531589552959798883475511096677545853948017425342019529539590198394174553047792145043723038206885734470238620775335376572758801465612196212014773714996912064944617579072807182486470656 binary64)) (/.f64 (*.f64 (*.f64 #s(literal 1 binary64) (*.f64 c #s(literal 1/2 binary64))) #s(literal -4 binary64)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) (if (<=.f64 b #s(literal 200000000000000000383135017146933747243191025453038402230560702919875864840797751192247229021636064706560 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)) (neg.f64 (/.f64 b a)))))
(if (<=.f64 b #s(literal -4161278206966051/904625697166532776746648320380374280103671755200316906558262375061821325312 binary64)) (/.f64 c (neg.f64 b)) (if (<=.f64 b #s(literal 49999999999999999884518512257185400348306273996201919460278431983048793274064838238955966239342592 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)) (neg.f64 (/.f64 b a))))
(if (<=.f64 b #s(literal -4001867083405173/105312291668557186697918027683670432318895095400549111254310977536 binary64)) (/.f64 c (neg.f64 b)) (if (<=.f64 b #s(literal 1750000000000000124683386740458497801742217788597672737145492348276241745872095837602499421093058128231006208 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))))))) (neg.f64 (/.f64 b a))))
(if (<=.f64 b #s(literal -7950811791502729/1766847064778384329583297500742918515827483896875618958121606201292619776 binary64)) (/.f64 c (neg.f64 b)) (if (<=.f64 b #s(literal 7177997053961861/4722366482869645213696 binary64)) (/.f64 (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64))) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b #s(literal -1897980245367405/862718293348820473429344482784628181556388621521298319395315527974912 binary64)) (/.f64 c (neg.f64 b)) (if (<=.f64 b #s(literal 3447327532494841/9444732965739290427392 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64))))) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 c (neg.f64 b)) (-.f64 (/.f64 c b) (/.f64 b a)))
(if (<=.f64 b #s(literal -1012011266536553/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 c (neg.f64 b)) (neg.f64 (/.f64 b a)))
(if (<=.f64 b #s(literal -21999999999999999940596416258483205748469447689889564713162371462248529920 binary64)) (/.f64 c b) (neg.f64 (/.f64 b a)))
(/.f64 c b)
(/.f64 b a)
Outputs
(if (<=.f64 b #s(literal -5000000000000000184737728440291132704904589914921344225961389276075271829673609798608256554852704163723255876843616333657168501674786702085523096224137216 binary64)) (/.f64 c (neg.f64 b)) (if (<=.f64 b #s(literal -8493136544725101/772103322247736428651791941524190166662432288223808740069966728315087660095197093551484618001698015194652854401843307157096133183997320086925557708514169730840749451738610692460887556999562135090788908685580234789131193097780962748024381086918485856402626253175196722230275782071039209488625822100242638638716536487936 binary64)) (/.f64 (*.f64 (*.f64 #s(literal 1 binary64) (*.f64 c #s(literal 1/2 binary64))) #s(literal -4 binary64)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) (if (<=.f64 b #s(literal 60000000000000001388087990353133928090735862891772871326335956917172916099827106204162481058576260776591360 binary64)) (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64)))) (neg.f64 (/.f64 b a)))))
(if (<=.f64 b #s(literal -5000000000000000184737728440291132704904589914921344225961389276075271829673609798608256554852704163723255876843616333657168501674786702085523096224137216 binary64)) (neg.f64 (/.f64 c b)) (if (<=.f64 b #s(literal -8493136544725101/772103322247736428651791941524190166662432288223808740069966728315087660095197093551484618001698015194652854401843307157096133183997320086925557708514169730840749451738610692460887556999562135090788908685580234789131193097780962748024381086918485856402626253175196722230275782071039209488625822100242638638716536487936 binary64)) (/.f64 (*.f64 (*.f64 c #s(literal 1/2 binary64)) #s(literal -4 binary64)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) (if (<=.f64 b #s(literal 60000000000000001388087990353133928090735862891772871326335956917172916099827106204162481058576260776591360 binary64)) (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 #s(literal -4 binary64) a)))) (*.f64 a #s(literal -2 binary64)))) (/.f64 b (neg.f64 a)))))
(if (<=.f64 b #s(literal -41999999999999999785651502732550331375396634498277073472162527584918128691265287319273948874017101084963715236112289246623364163002022536822665510912 binary64)) (/.f64 c (neg.f64 b)) (if (<=.f64 b #s(literal -205089944972055/3016028602530220424421062271578867838525126125874252890898307532480811172246863646685486789069132871854112712507200418582406770249989531589552959798883475511096677545853948017425342019529539590198394174553047792145043723038206885734470238620775335376572758801465612196212014773714996912064944617579072807182486470656 binary64)) (/.f64 (*.f64 (*.f64 #s(literal 1 binary64) (*.f64 c #s(literal 1/2 binary64))) #s(literal -4 binary64)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) (if (<=.f64 b #s(literal 200000000000000000383135017146933747243191025453038402230560702919875864840797751192247229021636064706560 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)) (neg.f64 (/.f64 b a)))))
(if (<=.f64 b #s(literal -41999999999999999785651502732550331375396634498277073472162527584918128691265287319273948874017101084963715236112289246623364163002022536822665510912 binary64)) (neg.f64 (/.f64 c b)) (if (<=.f64 b #s(literal -205089944972055/3016028602530220424421062271578867838525126125874252890898307532480811172246863646685486789069132871854112712507200418582406770249989531589552959798883475511096677545853948017425342019529539590198394174553047792145043723038206885734470238620775335376572758801465612196212014773714996912064944617579072807182486470656 binary64)) (/.f64 (*.f64 (*.f64 c #s(literal 1/2 binary64)) #s(literal -4 binary64)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) (if (<=.f64 b #s(literal 200000000000000000383135017146933747243191025453038402230560702919875864840797751192247229021636064706560 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 c a))))) (*.f64 a #s(literal 2 binary64))) (/.f64 b (neg.f64 a)))))
(if (<=.f64 b #s(literal -4161278206966051/904625697166532776746648320380374280103671755200316906558262375061821325312 binary64)) (/.f64 c (neg.f64 b)) (if (<=.f64 b #s(literal 49999999999999999884518512257185400348306273996201919460278431983048793274064838238955966239342592 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)) (neg.f64 (/.f64 b a))))
(if (<=.f64 b #s(literal -4161278206966051/904625697166532776746648320380374280103671755200316906558262375061821325312 binary64)) (neg.f64 (/.f64 c b)) (if (<=.f64 b #s(literal 49999999999999999884518512257185400348306273996201919460278431983048793274064838238955966239342592 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 c a))))) (*.f64 a #s(literal 2 binary64))) (/.f64 b (neg.f64 a))))
(if (<=.f64 b #s(literal -4001867083405173/105312291668557186697918027683670432318895095400549111254310977536 binary64)) (/.f64 c (neg.f64 b)) (if (<=.f64 b #s(literal 1750000000000000124683386740458497801742217788597672737145492348276241745872095837602499421093058128231006208 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))))))) (neg.f64 (/.f64 b a))))
(if (<=.f64 b #s(literal -4001867083405173/105312291668557186697918027683670432318895095400549111254310977536 binary64)) (neg.f64 (/.f64 c b)) (if (<=.f64 b #s(literal 1750000000000000124683386740458497801742217788597672737145492348276241745872095837602499421093058128231006208 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 #s(literal -4 binary64) a)))))) (/.f64 b (neg.f64 a))))
(if (<=.f64 b #s(literal -7950811791502729/1766847064778384329583297500742918515827483896875618958121606201292619776 binary64)) (/.f64 c (neg.f64 b)) (if (<=.f64 b #s(literal 7177997053961861/4722366482869645213696 binary64)) (/.f64 (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64))) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b #s(literal -7950811791502729/1766847064778384329583297500742918515827483896875618958121606201292619776 binary64)) (neg.f64 (/.f64 c b)) (if (<=.f64 b #s(literal 7177997053961861/4722366482869645213696 binary64)) (/.f64 (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64))) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b #s(literal -1897980245367405/862718293348820473429344482784628181556388621521298319395315527974912 binary64)) (/.f64 c (neg.f64 b)) (if (<=.f64 b #s(literal 3447327532494841/9444732965739290427392 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64))))) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b #s(literal -1897980245367405/862718293348820473429344482784628181556388621521298319395315527974912 binary64)) (neg.f64 (/.f64 c b)) (if (<=.f64 b #s(literal 3447327532494841/9444732965739290427392 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 c (neg.f64 b)) (-.f64 (/.f64 c b) (/.f64 b a)))
(if (<=.f64 b #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (neg.f64 (/.f64 c b)) (-.f64 (/.f64 c b) (/.f64 b a)))
(if (<=.f64 b #s(literal -1012011266536553/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 c (neg.f64 b)) (neg.f64 (/.f64 b a)))
(if (<=.f64 b #s(literal -1012011266536553/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (neg.f64 (/.f64 c b)) (/.f64 b (neg.f64 a)))
(if (<=.f64 b #s(literal -21999999999999999940596416258483205748469447689889564713162371462248529920 binary64)) (/.f64 c b) (neg.f64 (/.f64 b a)))
(if (<=.f64 b #s(literal -21999999999999999940596416258483205748469447689889564713162371462248529920 binary64)) (/.f64 c b) (/.f64 b (neg.f64 a)))
(/.f64 c b)
(/.f64 b a)

soundness923.0ms (7%)

Memory
37.4MiB live, 946.5MiB allocated
Rules
9 868×accelerator-lowering-fma.f32
9 868×accelerator-lowering-fma.f64
7 984×*-lowering-*.f32
7 984×*-lowering-*.f64
7 438×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032135
1184131
21482125
08966117
013559526
145049213
082058827
01451
17251
258248
0809644
05453138
117183109
257583070
081202910
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 594 to 310 computations (47.8% saved)

preprocess209.0ms (1.6%)

Memory
-48.4MiB live, 205.9MiB allocated
Compiler

Compiled 694 to 270 computations (61.1% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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