quadm (p42, negative)

Time bar (total: 10.4s)

analyze126.0ms (1.2%)

Memory
-4.3MiB live, 164.0MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
25%25%74.9%0.1%0%0%0%4
37.5%37.4%62.4%0.1%0%0%0%5
37.5%37.4%62.4%0.1%0%0%0%6
40%37.4%56.2%0.1%0%6.2%0%7
48.3%45.2%48.4%0.1%0%6.2%0%8
53%48.4%42.9%0.1%0%8.6%0%9
58.1%50.3%36.3%0.1%0%13.3%0%10
66.1%56.8%29.1%0.1%0%14%0%11
70.4%58.8%24.7%0.1%0%16.4%0%12
Compiler

Compiled 19 to 16 computations (15.8% saved)

sample1.7s (16.3%)

Memory
8.9MiB live, 1 790.8MiB allocated
Samples
520.0ms5 456×0valid
281.0ms1 251×2valid
221.0ms1 350×1valid
72.0ms910×0invalid
63.0ms199×3valid
Precisions
Click to see histograms. Total time spent on operations: 851.0ms
ival-mult: 335.0ms (39.4% of total)
ival-sub: 150.0ms (17.6% of total)
ival-div: 108.0ms (12.7% of total)
ival-sqrt: 107.0ms (12.6% of total)
ival-neg: 75.0ms (8.8% of total)
adjust: 55.0ms (6.5% of total)
exact: 10.0ms (1.2% of total)
ival-true: 7.0ms (0.8% of total)
ival-assert: 4.0ms (0.5% of total)
Bogosity

preprocess270.0ms (2.6%)

Memory
-16.3MiB live, 101.3MiB allocated
Algorithm
2×egg-herbie
Rules
1 462×div-sub
1 120×accelerator-lowering-fma.f32
1 120×accelerator-lowering-fma.f64
1 118×unsub-neg
918×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
060175
1201168
2603164
31982160
44332160
55566160
65930160
76062160
86101160
96254160
107251160
117948160
01417
13617
29517
323816
440016
573416
6155116
7203816
8219716
9226716
10227716
11227716
12228316
0228315
Stop Event
1×iter limit
1×saturated
1×node limit
Calls
Call 1
Inputs
(/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a))
Outputs
(/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (fma.f64 c #s(literal -4 binary64) #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64))))) a) #s(literal 0 binary64))
Call 2
Inputs
(/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a))
(/ (- (neg b) (sqrt (- (* b b) (* 4 (* (neg a) c))))) (* 2 (neg a)))
(/ (- (neg (neg b)) (sqrt (- (* (neg b) (neg b)) (* 4 (* a c))))) (* 2 a))
(/ (- (neg b) (sqrt (- (* b b) (* 4 (* a (neg c)))))) (* 2 a))
(neg (/ (- (neg b) (sqrt (- (* b b) (* 4 (* (neg a) c))))) (* 2 (neg a))))
(neg (/ (- (neg (neg b)) (sqrt (- (* (neg b) (neg b)) (* 4 (* a c))))) (* 2 a)))
(neg (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a (neg c)))))) (* 2 a)))
(/ (- (neg a) (sqrt (- (* a a) (* 4 (* b c))))) (* 2 b))
(/ (- (neg b) (sqrt (- (* b b) (* 4 (* c a))))) (* 2 c))
(/ (- (neg c) (sqrt (- (* c c) (* 4 (* a b))))) (* 2 a))
Outputs
(/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a))
(* (+ b (sqrt (+ (* b b) (* a (* c -4))))) (/ -1/2 a))
(/ (- (neg b) (sqrt (- (* b b) (* 4 (* (neg a) c))))) (* 2 (neg a)))
(* (+ b (sqrt (+ (* b b) (* 4 (* a c))))) (/ 1/2 a))
(/ (- (neg (neg b)) (sqrt (- (* (neg b) (neg b)) (* 4 (* a c))))) (* 2 a))
(* (- b (sqrt (+ (* b b) (* a (* c -4))))) (/ 1/2 a))
(/ (- (neg b) (sqrt (- (* b b) (* 4 (* a (neg c)))))) (* 2 a))
(* (+ b (sqrt (+ (* b b) (* 4 (* a c))))) (/ -1/2 a))
(neg (/ (- (neg b) (sqrt (- (* b b) (* 4 (* (neg a) c))))) (* 2 (neg a))))
(* (+ b (sqrt (+ (* b b) (* 4 (* a c))))) (/ -1/2 a))
(neg (/ (- (neg (neg b)) (sqrt (- (* (neg b) (neg b)) (* 4 (* a c))))) (* 2 a)))
(* (- b (sqrt (+ (* b b) (* a (* c -4))))) (/ -1/2 a))
(neg (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a (neg c)))))) (* 2 a)))
(* (+ b (sqrt (+ (* b b) (* 4 (* a c))))) (/ 1/2 a))
(/ (- (neg a) (sqrt (- (* a a) (* 4 (* b c))))) (* 2 b))
(* (+ a (sqrt (+ (* a a) (* b (* c -4))))) (/ -1/2 b))
(/ (- (neg b) (sqrt (- (* b b) (* 4 (* c a))))) (* 2 c))
(* (+ b (sqrt (+ (* b b) (* a (* c -4))))) (/ -1/2 c))
(/ (- (neg c) (sqrt (- (* c c) (* 4 (* a b))))) (* 2 a))
(* (+ c (sqrt (+ (* c c) (* b (* a -4))))) (/ -1/2 a))

explain233.0ms (2.2%)

Memory
21.2MiB live, 182.5MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1070-0-(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))
570-0-(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))))
110-2(2.1466930892366097e-301 -8.38561460756441e-119 1.8766987220880674e-133)(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a))
20-0-(-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))
00-0-a
00-0-(*.f64 #s(literal 4 binary64) (*.f64 a c))
00-0-(*.f64 a c)
00-0-#s(literal 4 binary64)
00-0-(*.f64 b b)
00-0-(*.f64 #s(literal 2 binary64) a)
00-0-c
00-0-#s(literal 2 binary64)
00-0-(neg.f64 b)
00-0-b
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
sqrt.f64(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))oflow-rescue960
↳(*.f64 b b)overflow80
↳(*.f64 #s(literal 4 binary64) (*.f64 a c))overflow21
↳(*.f64 a c)overflow21
↳(-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))overflow96
-.f64(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))))cancellation570
sqrt.f64(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))uflow-rescue110
↳(*.f64 b b)underflow52
↳(*.f64 #s(literal 4 binary64) (*.f64 a c))underflow37
↳(*.f64 a c)underflow37
↳(-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))underflow11
/.f64(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a))u/n90
↳(*.f64 b b)underflow52
↳(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))))underflow16
↳(*.f64 #s(literal 4 binary64) (*.f64 a c))underflow37
↳(*.f64 a c)underflow37
↳(-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))underflow11
-.f64(-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))nan-rescue20
↳(*.f64 b b)overflow80
↳(*.f64 #s(literal 4 binary64) (*.f64 a c))overflow21
↳(*.f64 a c)overflow21
Confusion
Predicted +Predicted -
+1210
-27108
Precision
0.8175675675675675
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+12100
-270108
Precision?
0.8175675675675675
Recall?
1.0
Freqs
test
numberfreq
0108
1121
227
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
67.0ms366×0valid
14.0ms56×2valid
13.0ms78×1valid
4.0ms12×3valid
Compiler

Compiled 184 to 60 computations (67.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 74.0ms
ival-mult: 49.0ms (66.4% of total)
ival-sub: 7.0ms (9.5% of total)
ival-sqrt: 6.0ms (8.1% of total)
ival-div: 5.0ms (6.8% of total)
adjust: 3.0ms (4.1% of total)
ival-neg: 3.0ms (4.1% of total)
exact: 1.0ms (1.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶54.8%
(/.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)

simplify105.0ms (1%)

Memory
-4.8MiB live, 75.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))
✓cost-diff0
(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))))
✓cost-diff192
(-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))
✓cost-diff192
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a))
Rules
1 120×accelerator-lowering-fma.f32
1 120×accelerator-lowering-fma.f64
744×*-lowering-*.f32
744×*-lowering-*.f64
446×times-frac
Iterations

Useful iterations: 0 (0.0ms)

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

localize55.0ms (0.5%)

Memory
14.6MiB live, 90.8MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy99.4%
(-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))
✓accuracy96.4%
(/.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))
✓accuracy79.4%
(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))))
✓accuracy61.1%
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))
Samples
17.0ms183×0valid
9.0ms39×1valid
7.0ms28×2valid
7.0ms6×3valid
Compiler

Compiled 72 to 16 computations (77.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-mult: 8.0ms (32.1% of total)
ival-div: 7.0ms (28.1% of total)
ival-sub: 3.0ms (12% of total)
ival-sqrt: 3.0ms (12% of total)
ival-neg: 2.0ms (8% of total)
adjust: 1.0ms (4% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series27.0ms (0.3%)

Memory
-3.1MiB live, 38.1MiB allocated
Counts
4 → 144
Calls
Call 1
Inputs
#<alt (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a))>
#<alt (- (* b b) (* 4 (* a c)))>
#<alt (- (neg b) (sqrt (- (* b b) (* 4 (* a c)))))>
#<alt (sqrt (- (* b b) (* 4 (* a c))))>
Outputs
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))>
#<alt (* -1 (/ b a))>
#<alt (* b (- (/ c (pow b 2)) (/ 1 a)))>
#<alt (* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))>
#<alt (* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))>
#<alt (* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))>
#<alt (* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))>
#<alt (* -1 (/ b a))>
#<alt (/ (+ (* -1 b) (/ (* a c) b)) a)>
#<alt (/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)>
#<alt (/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)>
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1 (/ b a))>
#<alt (+ (* -1 (/ b a)) (/ c b))>
#<alt (+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))>
#<alt (+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))>
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))>
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))>
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)))))>
#<alt (* -4 (* a c))>
#<alt (- (pow b 2) (* 4 (* a c)))>
#<alt (- (pow b 2) (* 4 (* a c)))>
#<alt (- (pow b 2) (* 4 (* a c)))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (pow b 2)>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (* -4 (* a c))>
#<alt (* a (- (/ (pow b 2) a) (* 4 c)))>
#<alt (* a (- (/ (pow b 2) a) (* 4 c)))>
#<alt (* a (- (/ (pow b 2) a) (* 4 c)))>
#<alt (* -4 (* a c))>
#<alt (* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))>
#<alt (* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))>
#<alt (* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))>
#<alt (pow b 2)>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (* -4 (* a c))>
#<alt (* c (- (/ (pow b 2) c) (* 4 a)))>
#<alt (* c (- (/ (pow b 2) c) (* 4 a)))>
#<alt (* c (- (/ (pow b 2) c) (* 4 a)))>
#<alt (* -4 (* a c))>
#<alt (* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))>
#<alt (* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))>
#<alt (* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -4)))>
#<alt (- (* -1 b) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (- (* b (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (- (* b (- (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (* -2 b)>
#<alt (* b (- (* 2 (/ (* a c) (pow b 2))) 2))>
#<alt (* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2))))))>
#<alt (* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -1 (/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) b))>
#<alt (* -1 (/ (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))>
#<alt (* -1 (/ (- (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b))>
#<alt (* -2 b)>
#<alt (- (* 2 (/ (* a c) b)) (* 2 b))>
#<alt (- (* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) (* 2 b))>
#<alt (- (* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) (* 2 b))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -4)))>
#<alt (* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (* a (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))>
#<alt (* a (- (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))))>
#<alt (* 2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* a (- (/ b a) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -1 (* a (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -1 (* a (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -2 b)>
#<alt (- (* 2 (/ (* a c) b)) (* 2 b))>
#<alt (- (* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) (* 2 b))>
#<alt (- (* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) (* 2 b))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -4)))>
#<alt (* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))>
#<alt (* c (- (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))>
#<alt (* c (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))))>
#<alt (* 2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* c (- (/ b c) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -1 (* c (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))>
#<alt (+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))>
#<alt b>
#<alt (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))>
#<alt (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))>
#<alt (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))>
#<alt (* -1 b)>
#<alt (* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))>
#<alt (* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))>
#<alt (* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))>
#<alt b>
#<alt (+ b (* -2 (/ (* a c) b)))>
#<alt (+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))>
#<alt (+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))>
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))>
#<alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))>
#<alt b>
#<alt (+ b (* -2 (/ (* a c) b)))>
#<alt (+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))>
#<alt (+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))>
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))>
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))>
#<alt (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))>
Calls

36 calls:

TimeVariablePointExpression
5.0ms
b
@-inf
(/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a))
3.0ms
a
@0
(/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a))
1.0ms
a
@inf
(/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a))
1.0ms
a
@-inf
(sqrt (- (* b b) (* 4 (* a c))))
1.0ms
b
@0
(/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a))

rewrite333.0ms (3.2%)

Memory
-1.4MiB live, 548.0MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 318×accelerator-lowering-fma.f32
5 318×accelerator-lowering-fma.f64
4 626×*-lowering-*.f32
4 626×*-lowering-*.f64
3 036×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

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

simplify446.0ms (4.3%)

Memory
21.3MiB live, 935.9MiB allocated
Algorithm
1×egg-herbie
Rules
9 868×accelerator-lowering-fma.f32
9 868×accelerator-lowering-fma.f64
7 984×*-lowering-*.f32
7 984×*-lowering-*.f64
2 264×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05453114
117183085
257583046
081202886
Stop Event
1×iter limit
1×node limit
Counts
144 → 144
Calls
Call 1
Inputs
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))
(* -1 (/ b a))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))
(* -1 (/ c b))
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))
(* -1 (/ b a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (/ b a))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))
(* (sqrt (/ c a)) (sqrt -1))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)))))
(* -4 (* a c))
(- (pow b 2) (* 4 (* a c)))
(- (pow b 2) (* 4 (* a c)))
(- (pow b 2) (* 4 (* a c)))
(pow b 2)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(pow b 2)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* -4 (* a c))
(* a (- (/ (pow b 2) a) (* 4 c)))
(* a (- (/ (pow b 2) a) (* 4 c)))
(* a (- (/ (pow b 2) a) (* 4 c)))
(* -4 (* a c))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* -4 (* a c))
(* c (- (/ (pow b 2) c) (* 4 a)))
(* c (- (/ (pow b 2) c) (* 4 a)))
(* c (- (/ (pow b 2) c) (* 4 a)))
(* -4 (* a c))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(- (* -1 b) (* (sqrt (* a c)) (sqrt -4)))
(- (* b (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(- (* b (- (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(* -2 b)
(* b (- (* 2 (/ (* a c) (pow b 2))) 2))
(* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -2 (/ (* a c) b))
(* -1 (/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) b))
(* -1 (/ (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))
(* -1 (/ (- (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b))
(* -2 b)
(- (* 2 (/ (* a c) b)) (* 2 b))
(- (* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) (* 2 b))
(- (* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) (* 2 b))
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))
(* a (- (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))))
(* 2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (- (/ b a) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -2 b)
(- (* 2 (/ (* a c) b)) (* 2 b))
(- (* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) (* 2 b))
(- (* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) (* 2 b))
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))
(* c (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))))
(* 2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (- (/ b c) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* (sqrt (* a c)) (sqrt -4))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))
b
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 b)
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
Outputs
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -1/2 binary64)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(*.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(fma.f64 b (fma.f64 (/.f64 b (sqrt.f64 #s(literal -4 binary64))) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a)))))) (/.f64 #s(literal -1/2 binary64) a)) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -1/2 binary64))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))
(fma.f64 b (fma.f64 b (fma.f64 #s(literal -1/64 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 c (*.f64 c c))))) (*.f64 b b)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a)))))) (sqrt.f64 #s(literal -4 binary64)))) (/.f64 #s(literal -1/2 binary64) a)) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -1/2 binary64))))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a)))
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))
(*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (fma.f64 a (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b b))) (/.f64 #s(literal -1 binary64) a))))
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))
(*.f64 b (+.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b b))) (/.f64 c (*.f64 b b))) (fma.f64 #s(literal 2 binary64) (*.f64 (*.f64 a a) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 6 binary64)))) (/.f64 #s(literal -1 binary64) a))))
(* -1 (/ c b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)) b)
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))
(/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b))) c)) (-.f64 #s(literal 0 binary64) b))
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))
(/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64))) (*.f64 a (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b))) c))) (-.f64 #s(literal 0 binary64) b))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/.f64 (-.f64 (*.f64 c (/.f64 a b)) b) a)
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/.f64 (fma.f64 a (*.f64 c (fma.f64 c (/.f64 a (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) b))) (-.f64 #s(literal 0 binary64) b)) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)
(/.f64 (fma.f64 a (fma.f64 a (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 c c))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b)))) (/.f64 c b)) (-.f64 #s(literal 0 binary64) b)) a)
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -1/2 binary64)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(*.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))
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(- (* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) (* 2 b))
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(- (* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) (* 2 b))
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(* -1 (* (sqrt (* a c)) (sqrt -4)))
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(* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
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(* c (- (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))
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(* c (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))))
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(* 2 (* (sqrt (* a c)) (sqrt -1)))
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(* -1 (* c (- (/ b c) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
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(* -1 (* c (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
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(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a)))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))
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b
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
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(* -1 b)
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(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
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(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
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b
(+ b (* -2 (/ (* a c) b)))
(fma.f64 c (*.f64 #s(literal -2 binary64) (/.f64 a b)) b)
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(fma.f64 (*.f64 a #s(literal -2 binary64)) (*.f64 c (fma.f64 c (/.f64 a (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) b))) b)
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(fma.f64 a (fma.f64 a (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 c c) #s(literal -2 binary64)) (*.f64 b (*.f64 b b)))) (*.f64 (/.f64 c b) #s(literal -2 binary64))) b)
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a)))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
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(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(*.f64 a (fma.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 c (*.f64 c c))))) (*.f64 (*.f64 b b) (*.f64 b b))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/32 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/2 binary64))))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(*.f64 a (fma.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 7 binary64))))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64)))) (fma.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 c (*.f64 c c))))) (*.f64 (*.f64 b b) (*.f64 b b))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/32 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/2 binary64)))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (sqrt.f64 (*.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -2 binary64)))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) a))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 c (*.f64 c c))))) (*.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/64 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/4 binary64))))) (-.f64 #s(literal 0 binary64) a))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 c (*.f64 c c))))) (*.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/64 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 7 binary64))))) (*.f64 (*.f64 (pow.f64 b #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/512 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (-.f64 #s(literal 0 binary64) a))
b
(+ b (* -2 (/ (* a c) b)))
(fma.f64 c (*.f64 #s(literal -2 binary64) (/.f64 a b)) b)
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(fma.f64 (*.f64 c #s(literal -2 binary64)) (fma.f64 a (*.f64 c (/.f64 a (*.f64 b (*.f64 b b)))) (/.f64 a b)) b)
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(fma.f64 c (fma.f64 c (fma.f64 (*.f64 #s(literal -4 binary64) (*.f64 a (*.f64 a a))) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 a a) #s(literal -2 binary64)) (*.f64 b (*.f64 b b)))) (*.f64 #s(literal -2 binary64) (/.f64 a b))) b)
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a)))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(*.f64 c (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c)) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 c c)))))))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(*.f64 c (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64)))))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/32 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c)) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 c c))))))))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(*.f64 c (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64)))))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/32 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 7 binary64))))) (*.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64))) #s(literal 1/16 binary64)) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c)) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 c c)))))))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
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(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(-.f64 #s(literal 0 binary64) (*.f64 c (fma.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 c c)))))) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(-.f64 #s(literal 0 binary64) (*.f64 c (fma.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (fma.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 b b) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 c c))))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64))))) (*.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/64 binary64)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
(-.f64 #s(literal 0 binary64) (*.f64 c (fma.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64))))) #s(literal -1/64 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 7 binary64))))) (*.f64 (*.f64 (pow.f64 b #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/512 binary64)) (fma.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 c c)))))) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))))))))

eval129.0ms (1.2%)

Memory
5.5MiB live, 236.5MiB allocated
Compiler

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

prune104.0ms (1%)

Memory
-0.6MiB live, 272.1MiB allocated
Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New61315628
Fresh000
Picked101
Done000
Total61415629
Accuracy
92.1%
Counts
629 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
22.9%
(/.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))))))))
23.5%
(/.f64 (/.f64 (fma.f64 b b (fma.f64 b b (*.f64 #s(literal 4 binary64) (*.f64 a c)))) (*.f64 a #s(literal 2 binary64))) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
24.9%
(/.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b) (*.f64 #s(literal 2 binary64) a))
▶24.0%
(/.f64 (-.f64 (*.f64 (*.f64 b #s(literal 1/2 binary64)) a) (*.f64 a (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) #s(literal 1/2 binary64)))) (*.f64 a a))
▶41.9%
(/.f64 (-.f64 (*.f64 c (/.f64 a b)) b) a)
44.9%
(/.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))
▶53.9%
(/.f64 (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (*.f64 #s(literal 2 binary64) a))
34.2%
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))
33.6%
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))))
33.6%
(/.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))
42.0%
(-.f64 (/.f64 c b) (/.f64 b a))
30.4%
(-.f64 #s(literal 0 binary64) (/.f64 c b))
▶42.1%
(-.f64 #s(literal 0 binary64) (/.f64 b a))
20.9%
(*.f64 (fma.f64 b b (fma.f64 b b (*.f64 #s(literal 4 binary64) (*.f64 a c)))) (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 #s(literal 2 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))))))
▶33.6%
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
Compiler

Compiled 586 to 366 computations (37.5% saved)

simplify483.0ms (4.6%)

Memory
-38.4MiB live, 311.1MiB allocated
Algorithm
1×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
(sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))
✓cost-diff768
(-.f64 (*.f64 (*.f64 b #s(literal 1/2 binary64)) a) (*.f64 a (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) #s(literal 1/2 binary64))))
✓cost-diff768
(/.f64 (-.f64 (*.f64 (*.f64 b #s(literal 1/2 binary64)) a) (*.f64 a (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) #s(literal 1/2 binary64)))) (*.f64 a a))
✓cost-diff0
(fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))
✓cost-diff0
(sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))
✓cost-diff0
(-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))
✓cost-diff0
(/.f64 #s(literal 1/2 binary64) a)
✓cost-diff0
(/.f64 a b)
✓cost-diff0
(*.f64 c (/.f64 a b))
✓cost-diff0
(-.f64 (*.f64 c (/.f64 a b)) b)
✓cost-diff320
(/.f64 (-.f64 (*.f64 c (/.f64 a b)) b) a)
✓cost-diff0
(/.f64 b a)
✓cost-diff0
(-.f64 #s(literal 0 binary64) (/.f64 b a))
✓cost-diff0
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
✓cost-diff192
(-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))))
✓cost-diff192
(/.f64 (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (*.f64 #s(literal 2 binary64) a))
Rules
5 230×accelerator-lowering-fma.f32
5 230×accelerator-lowering-fma.f64
3 692×*-lowering-*.f32
3 692×*-lowering-*.f64
2 234×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036308
183306
2224302
3595300
41628300
54511300
66718300
08365283
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (- (neg b) (/ 1 (sqrt (/ 1 (+ (* b b) (* c (* a -4))))))) (* 2 a))
(- (neg b) (/ 1 (sqrt (/ 1 (+ (* b b) (* c (* a -4)))))))
(neg b)
b
(/ 1 (sqrt (/ 1 (+ (* b b) (* c (* a -4))))))
1
(sqrt (/ 1 (+ (* b b) (* c (* a -4)))))
(/ 1 (+ (* b b) (* c (* a -4))))
(+ (* b b) (* c (* a -4)))
(* c (* a -4))
c
(* a -4)
a
-4
(* 2 a)
2
(- 0 (/ b a))
0
(/ b a)
b
a
(/ (- (* c (/ a b)) b) a)
(- (* c (/ a b)) b)
(* c (/ a b))
c
(/ a b)
a
b
(* (/ 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
(/ (- (* (* b 1/2) a) (* a (* (sqrt (+ (* b b) (* c (* a -4)))) 1/2))) (* a a))
(- (* (* b 1/2) a) (* a (* (sqrt (+ (* b b) (* c (* a -4)))) 1/2)))
(* (* b 1/2) a)
(* b 1/2)
b
1/2
a
(* a (* (sqrt (+ (* b b) (* c (* a -4)))) 1/2))
(* (sqrt (+ (* b b) (* c (* a -4)))) 1/2)
(sqrt (+ (* b b) (* c (* a -4))))
(+ (* b b) (* c (* a -4)))
(* c (* a -4))
c
(* a -4)
-4
(* a a)
Outputs
(/ (- (neg b) (/ 1 (sqrt (/ 1 (+ (* b b) (* c (* a -4))))))) (* 2 a))
(/.f64 (fma.f64 b #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (fma.f64 c (*.f64 a #s(literal -4 binary64)) #s(literal 0 binary64))))))) a)
(- (neg b) (/ 1 (sqrt (/ 1 (+ (* b b) (* c (* a -4)))))))
(-.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (fma.f64 c (*.f64 a #s(literal -4 binary64)) #s(literal 0 binary64)))))) b)
(neg b)
(-.f64 #s(literal 0 binary64) b)
b
(/ 1 (sqrt (/ 1 (+ (* b b) (* c (* a -4))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (fma.f64 c (*.f64 a #s(literal -4 binary64)) #s(literal 0 binary64))))))
1
#s(literal 1 binary64)
(sqrt (/ 1 (+ (* b b) (* c (* a -4)))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (fma.f64 c (*.f64 a #s(literal -4 binary64)) #s(literal 0 binary64)))))
(/ 1 (+ (* b b) (* c (* a -4))))
(/.f64 #s(literal 1 binary64) (fma.f64 b b (fma.f64 c (*.f64 a #s(literal -4 binary64)) #s(literal 0 binary64))))
(+ (* b b) (* c (* a -4)))
(fma.f64 b b (fma.f64 c (*.f64 a #s(literal -4 binary64)) #s(literal 0 binary64)))
(* c (* a -4))
(fma.f64 c (*.f64 a #s(literal -4 binary64)) #s(literal 0 binary64))
c
(* a -4)
(*.f64 a #s(literal -4 binary64))
a
-4
#s(literal -4 binary64)
(* 2 a)
(fma.f64 a #s(literal 2 binary64) #s(literal 0 binary64))
2
#s(literal 2 binary64)
(- 0 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
0
#s(literal 0 binary64)
(/ b a)
(/.f64 b a)
b
a
(/ (- (* c (/ a b)) b) a)
(-.f64 (/.f64 c b) (/.f64 b a))
(- (* c (/ a b)) b)
(-.f64 (/.f64 (*.f64 c a) b) b)
(* c (/ a b))
(/.f64 (*.f64 c a) b)
c
(/ a b)
(/.f64 a b)
a
b
(* (/ 1/2 a) (- b (sqrt (+ (* b b) (* c (* a -4))))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (fma.f64 c (*.f64 a #s(literal -4 binary64)) #s(literal 0 binary64))))) a) #s(literal 0 binary64))
(/ 1/2 a)
(/.f64 #s(literal 1/2 binary64) a)
1/2
#s(literal 1/2 binary64)
a
(- b (sqrt (+ (* b b) (* c (* a -4)))))
(-.f64 b (sqrt.f64 (fma.f64 b b (fma.f64 c (*.f64 a #s(literal -4 binary64)) #s(literal 0 binary64)))))
b
(sqrt (+ (* b b) (* c (* a -4))))
(sqrt.f64 (fma.f64 b b (fma.f64 c (*.f64 a #s(literal -4 binary64)) #s(literal 0 binary64))))
(+ (* b b) (* c (* a -4)))
(fma.f64 b b (fma.f64 c (*.f64 a #s(literal -4 binary64)) #s(literal 0 binary64)))
(* c (* a -4))
(fma.f64 c (*.f64 a #s(literal -4 binary64)) #s(literal 0 binary64))
c
(* a -4)
(*.f64 a #s(literal -4 binary64))
-4
#s(literal -4 binary64)
(/ (- (* (* b 1/2) a) (* a (* (sqrt (+ (* b b) (* c (* a -4)))) 1/2))) (* a a))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (fma.f64 c (*.f64 a #s(literal -4 binary64)) #s(literal 0 binary64))))) a) #s(literal 0 binary64))
(- (* (* b 1/2) a) (* a (* (sqrt (+ (* b b) (* c (* a -4)))) 1/2)))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 a (-.f64 b (sqrt.f64 (fma.f64 b b (fma.f64 c (*.f64 a #s(literal -4 binary64)) #s(literal 0 binary64))))) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (* b 1/2) a)
(fma.f64 b (fma.f64 a #s(literal 1/2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* b 1/2)
(fma.f64 b #s(literal 1/2 binary64) #s(literal 0 binary64))
b
1/2
#s(literal 1/2 binary64)
a
(* a (* (sqrt (+ (* b b) (* c (* a -4)))) 1/2))
(fma.f64 (sqrt.f64 (fma.f64 b b (fma.f64 c (*.f64 a #s(literal -4 binary64)) #s(literal 0 binary64)))) (fma.f64 a #s(literal 1/2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (sqrt (+ (* b b) (* c (* a -4)))) 1/2)
(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 b b (fma.f64 c (*.f64 a #s(literal -4 binary64)) #s(literal 0 binary64)))) #s(literal 0 binary64))
(sqrt (+ (* b b) (* c (* a -4))))
(sqrt.f64 (fma.f64 b b (fma.f64 c (*.f64 a #s(literal -4 binary64)) #s(literal 0 binary64))))
(+ (* b b) (* c (* a -4)))
(fma.f64 b b (fma.f64 c (*.f64 a #s(literal -4 binary64)) #s(literal 0 binary64)))
(* c (* a -4))
(fma.f64 c (*.f64 a #s(literal -4 binary64)) #s(literal 0 binary64))
c
(* a -4)
(*.f64 a #s(literal -4 binary64))
-4
#s(literal -4 binary64)
(* a a)
(fma.f64 a a #s(literal 0 binary64))

localize203.0ms (2%)

Memory
1.7MiB live, 315.6MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy99.2%
(fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))
✓accuracy81.3%
(-.f64 (*.f64 (*.f64 b #s(literal 1/2 binary64)) a) (*.f64 a (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) #s(literal 1/2 binary64))))
✓accuracy61.1%
(sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))
✓accuracy52.8%
(/.f64 (-.f64 (*.f64 (*.f64 b #s(literal 1/2 binary64)) a) (*.f64 a (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) #s(literal 1/2 binary64)))) (*.f64 a a))
✓accuracy99.2%
(fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))
✓accuracy93.6%
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
✓accuracy74.5%
(-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))
✓accuracy61.1%
(sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))
✓accuracy100.0%
(/.f64 a b)
✓accuracy100.0%
(-.f64 (*.f64 c (/.f64 a b)) b)
✓accuracy94.9%
(/.f64 (-.f64 (*.f64 c (/.f64 a b)) b) a)
✓accuracy92.9%
(*.f64 c (/.f64 a b))
✓accuracy100.0%
(/.f64 b a)
✓accuracy100.0%
(-.f64 #s(literal 0 binary64) (/.f64 b a))
✓accuracy99.2%
(fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))
✓accuracy96.4%
(/.f64 (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (*.f64 #s(literal 2 binary64) a))
✓accuracy79.4%
(-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))))
✓accuracy61.4%
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))
Samples
54.0ms65×2valid
49.0ms91×1valid
20.0ms80×0valid
17.0ms20×3valid
Compiler

Compiled 303 to 38 computations (87.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 91.0ms
ival-mult: 31.0ms (34.2% of total)
ival-div: 27.0ms (29.8% of total)
ival-sub: 10.0ms (11% of total)
adjust: 9.0ms (9.9% of total)
ival-sqrt: 8.0ms (8.8% of total)
ival-add: 3.0ms (3.3% of total)
ival-neg: 2.0ms (2.2% of total)
exact: 1.0ms (1.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series61.0ms (0.6%)

Memory
5.3MiB live, 93.8MiB allocated
Counts
17 → 552
Calls
Call 1
Inputs
#<alt (/ (- (neg b) (/ 1 (sqrt (/ 1 (+ (* b b) (* c (* a -4))))))) (* 2 a))>
#<alt (- (neg b) (/ 1 (sqrt (/ 1 (+ (* b b) (* c (* a -4)))))))>
#<alt (/ 1 (sqrt (/ 1 (+ (* b b) (* c (* a -4))))))>
#<alt (sqrt (/ 1 (+ (* b b) (* c (* a -4)))))>
#<alt (- 0 (/ b a))>
#<alt (/ b a)>
#<alt (/ (- (* c (/ a b)) b) a)>
#<alt (- (* c (/ a b)) b)>
#<alt (* c (/ a b))>
#<alt (/ a b)>
#<alt (/ 1/2 a)>
#<alt (- b (sqrt (+ (* b b) (* c (* a -4)))))>
#<alt (sqrt (+ (* b b) (* c (* a -4))))>
#<alt (+ (* b b) (* c (* a -4)))>
#<alt (/ (- (* (* b 1/2) a) (* a (* (sqrt (+ (* b b) (* c (* a -4)))) 1/2))) (* a a))>
#<alt (- (* (* b 1/2) a) (* a (* (sqrt (+ (* b b) (* c (* a -4)))) 1/2)))>
#<alt (* (/ 1/2 a) (- b (sqrt (+ (* b b) (* c (* a -4))))))>
Outputs
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))>
#<alt (* -1 (/ b a))>
#<alt (* b (- (/ c (pow b 2)) (/ 1 a)))>
#<alt (* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))>
#<alt (* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))>
#<alt (* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))>
#<alt (* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))>
#<alt (* -1 (/ b a))>
#<alt (+ (* -1 (/ b a)) (/ c b))>
#<alt (+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))>
#<alt (+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))>
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))>
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))>
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)))))>
#<alt (* -1 (/ b a))>
#<alt (/ (+ (* -1 b) (/ (* a c) b)) a)>
#<alt (/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)>
#<alt (/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)>
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))>
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#<alt (* -1 (* (sqrt (* a c)) (sqrt -4)))>
#<alt (- b (* (sqrt (* a c)) (sqrt -4)))>
#<alt (- (* b (+ 1 (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (- (* b (+ 1 (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (* 2 (/ (* a c) b))>
#<alt (/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) b)>
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#<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))))))>
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#<alt (/ c b)>
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#<alt (/ c b)>
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#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))>
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#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (* 1/2 (/ b (* a c)))))))>
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#<alt (* -1/2 (* (sqrt (* (pow a 3) c)) (sqrt -4)))>
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#<alt (/ (* (pow a 2) c) b)>
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#<alt (* -1 (* b (- (* -1/2 a) (* 1/2 a))))>
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#<alt (* -1 (* b (- (+ (* -1/2 a) (* 2 (/ (* (pow a 4) (pow c 3)) (pow b 6)))) (+ (* -1 (/ (* (pow a 2) c) (pow b 2))) (+ (* -1 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* 1/2 a))))))>
#<alt (/ (* (pow a 2) c) b)>
#<alt (* (pow a 2) (- (/ (* a (pow c 2)) (pow b 3)) (* -1 (/ c b))))>
#<alt (* (pow a 2) (- (* a (- (* 2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))) (* -1 (/ c b))))>
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#<alt (* -1/2 (* (sqrt (* (pow a 3) c)) (sqrt -4)))>
#<alt (* (pow a 2) (- (* 1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))>
#<alt (* (pow a 2) (- (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (/ b a))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))>
#<alt (* (pow a 2) (- (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (* 1/2 (/ b a))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))>
#<alt (* (sqrt (* (pow a 3) c)) (sqrt -1))>
#<alt (* (pow a 2) (- (* 1/2 (/ b a)) (* -1 (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* (pow a 2) (- (* -1 (/ (+ (* -1/2 b) (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* -1 (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* (pow a 2) (- (* -1 (/ (+ (* -1 (/ (- (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* -1/2 b)) a)) (* -1 (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (/ (* (pow a 2) c) b)>
#<alt (* c (- (/ (* (pow a 3) c) (pow b 3)) (* -1 (/ (pow a 2) b))))>
#<alt (* c (- (* c (- (* 2 (/ (* (pow a 4) c) (pow b 5))) (* -1 (/ (pow a 3) (pow b 3))))) (* -1 (/ (pow a 2) b))))>
#<alt (* c (- (* c (- (* c (- (* 1/4 (/ (* a (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6)))))) b)) (* -2 (/ (pow a 4) (pow b 5))))) (* -1 (/ (pow a 3) (pow b 3))))) (* -1 (/ (pow a 2) b))))>
#<alt (* -1/2 (* (sqrt (* (pow a 3) c)) (sqrt -4)))>
#<alt (* c (- (* 1/2 (/ (* a b) c)) (* 1/2 (* (sqrt (/ (pow a 3) c)) (sqrt -4)))))>
#<alt (* c (- (+ (* -1/4 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (/ (* a b) c))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (sqrt -4)))))>
#<alt (* c (- (+ (* 1/16 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (* 1/2 (/ (* a b) c))) (+ (* 1/4 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (sqrt -4))))))>
#<alt (* (sqrt (* (pow a 3) c)) (sqrt -1))>
#<alt (* -1 (* c (- (* -1/2 (/ (* a b) c)) (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))>
#<alt (* -1 (* c (- (* -1 (/ (+ (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/2 (* a b))) c)) (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))>
#<alt (* -1 (* c (- (* -1 (/ (+ (* -1 (/ (- (* 1/128 (* (sqrt (/ 1 (* a c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (* a c)) (* (pow b 2) (sqrt -1))))) c)) (* 1/2 (* a b))) c)) (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))>
#<alt (/ c b)>
#<alt (+ (/ c b) (/ (* a (pow c 2)) (pow b 3)))>
#<alt (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b))>
#<alt (+ (* a (+ (* a (+ (* 1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)) (* 2 (/ (pow c 3) (pow b 5))))) (/ (pow c 2) (pow b 3)))) (/ c b))>
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* 1/2 (/ b a)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (/ b a))))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (* 1/2 (/ b a)))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (+ (* 1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ (* -1/2 b) (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* -1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* 1/2 (/ b a)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (+ (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))>
#<alt (/ c b)>
#<alt (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)>
#<alt (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b)>
#<alt (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b)>
#<alt (/ b a)>
#<alt (* -1 (* b (- (/ c (pow b 2)) (/ 1 a))))>
#<alt (* -1 (* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))>
#<alt (* -1 (* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a))))>
#<alt (/ c b)>
#<alt (* c (+ (/ 1 b) (/ (* a c) (pow b 3))))>
#<alt (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))>
#<alt (* c (+ (* c (+ (* c (+ (* 1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))) (* 2 (/ (pow a 2) (pow b 5))))) (/ a (pow b 3)))) (/ 1 b)))>
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* 1/2 (/ b (* a c)))))>
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (/ b (* a c))))))>
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (* 1/2 (/ b (* a c)))))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1/2 (/ b (* a c))))))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 1/2 (/ b a))) c)))))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* 1/2 (/ b a))) c)))))>
Calls

138 calls:

TimeVariablePointExpression
9.0ms
c
@inf
(- (* (* b 1/2) a) (* a (* (sqrt (+ (* b b) (* c (* a -4)))) 1/2)))
5.0ms
a
@0
(/ (- (* (* b 1/2) a) (* a (* (sqrt (+ (* b b) (* c (* a -4)))) 1/2))) (* a a))
3.0ms
a
@-inf
(/ (- (* c (/ a b)) b) a)
2.0ms
b
@0
(/ (- (* (* b 1/2) a) (* a (* (sqrt (+ (* b b) (* c (* a -4)))) 1/2))) (* a a))
2.0ms
c
@0
(sqrt (/ 1 (+ (* b b) (* c (* a -4)))))

rewrite474.0ms (4.6%)

Memory
19.2MiB live, 725.2MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 028×accelerator-lowering-fma.f32
5 028×accelerator-lowering-fma.f64
4 440×*-lowering-*.f32
4 440×*-lowering-*.f64
4 428×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036199
1205174
21894170
08442160
Stop Event
1×iter limit
1×node limit
Counts
17 → 1 515
Calls
Call 1
Inputs
(/ (- (neg b) (/ 1 (sqrt (/ 1 (+ (* b b) (* c (* a -4))))))) (* 2 a))
(- (neg b) (/ 1 (sqrt (/ 1 (+ (* b b) (* c (* a -4)))))))
(/ 1 (sqrt (/ 1 (+ (* b b) (* c (* a -4))))))
(sqrt (/ 1 (+ (* b b) (* c (* a -4)))))
(- 0 (/ b a))
(/ b a)
(/ (- (* c (/ a b)) b) a)
(- (* c (/ a b)) b)
(* c (/ a b))
(/ a b)
(/ 1/2 a)
(- b (sqrt (+ (* b b) (* c (* a -4)))))
(sqrt (+ (* b b) (* c (* a -4))))
(+ (* b b) (* c (* a -4)))
(/ (- (* (* b 1/2) a) (* a (* (sqrt (+ (* b b) (* c (* a -4)))) 1/2))) (* a a))
(- (* (* b 1/2) a) (* a (* (sqrt (+ (* b b) (* c (* a -4)))) 1/2)))
(* (/ 1/2 a) (- b (sqrt (+ (* b b) (* c (* a -4))))))
Outputs
(+.f64 (*.f64 (/.f64 b a) #s(literal -1/2 binary64)) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (*.f64 a #s(literal 2 binary64)))))
(+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) b) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))))
(+.f64 (*.f64 b (/.f64 #s(literal 1/2 binary64) a)) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))) (/.f64 #s(literal 1/2 binary64) a)))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))))) #s(literal -1 binary64)))
(-.f64 (*.f64 (/.f64 b a) #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (*.f64 a #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 a #s(literal 2 binary64))) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))) (*.f64 a #s(literal -2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 a #s(literal 2 binary64))) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))) (*.f64 a #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 a #s(literal 2 binary64))) (/.f64 (-.f64 b (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 2 binary64))))
(-.f64 (/.f64 b (*.f64 a #s(literal 2 binary64))) (/.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (*.f64 a #s(literal 2 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 b (*.f64 b b)) (fma.f64 b b (fma.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 2 binary64))) (/.f64 (/.f64 (*.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))) (fma.f64 b b (fma.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 2 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 b b) (+.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 2 binary64))) (/.f64 (/.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) (+.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 2 binary64))))
(-.f64 (/.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a #s(literal 2 binary64)) (fma.f64 b b (fma.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))))) (/.f64 (*.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))) (*.f64 (*.f64 a #s(literal 2 binary64)) (fma.f64 b b (fma.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))))))
(-.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 2 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))))) (/.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) (*.f64 (*.f64 a #s(literal 2 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))))))
(-.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) (*.f64 a #s(literal 2 binary64))) (*.f64 (*.f64 a #s(literal 2 binary64)) (*.f64 a #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 a #s(literal 2 binary64)) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))) (*.f64 (*.f64 a #s(literal 2 binary64)) (*.f64 a #s(literal 2 binary64)))))
(-.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a)))) (fma.f64 (*.f64 (/.f64 b a) #s(literal -1/2 binary64)) (*.f64 (/.f64 b a) #s(literal -1/2 binary64)) (fma.f64 (/.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (*.f64 a #s(literal 2 binary64))) (/.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (*.f64 a #s(literal 2 binary64))) (*.f64 (*.f64 (/.f64 b a) #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (*.f64 a #s(literal 2 binary64))))))) (/.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (*.f64 a #s(literal 2 binary64))) (*.f64 (/.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (*.f64 a #s(literal 2 binary64))) (/.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (*.f64 a #s(literal 2 binary64))))) (fma.f64 (*.f64 (/.f64 b a) #s(literal -1/2 binary64)) (*.f64 (/.f64 b a) #s(literal -1/2 binary64)) (fma.f64 (/.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (*.f64 a #s(literal 2 binary64))) (/.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (*.f64 a #s(literal 2 binary64))) (*.f64 (*.f64 (/.f64 b a) #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (*.f64 a #s(literal 2 binary64))))))))
(-.f64 (/.f64 (*.f64 (*.f64 (/.f64 b a) #s(literal -1/2 binary64)) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (*.f64 a #s(literal 2 binary64))))) (/.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (*.f64 a #s(literal 2 binary64))) (/.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (*.f64 a #s(literal 2 binary64)))) (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (*.f64 a #s(literal 2 binary64))))))
(-.f64 (/.f64 (/.f64 (*.f64 b (*.f64 b b)) (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 2 binary64))) (/.f64 (/.f64 (*.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))) (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 2 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 2 binary64))) (/.f64 (/.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 2 binary64))))
(fma.f64 b (/.f64 #s(literal 1/2 binary64) a) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))) (/.f64 #s(literal 1/2 binary64) a)))
(fma.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 #s(literal 1/2 binary64) a) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (*.f64 a #s(literal 2 binary64)))))
(fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (*.f64 a #s(literal 2 binary64)))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) a) b (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))))
(fma.f64 #s(literal -1 binary64) (/.f64 b (*.f64 a #s(literal 2 binary64))) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (*.f64 a #s(literal 2 binary64)))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (*.f64 a #s(literal 2 binary64)))))
(fma.f64 (/.f64 b #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) a) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (*.f64 a #s(literal 2 binary64)))))
(fma.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 b #s(literal 2 binary64)) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (*.f64 a #s(literal 2 binary64)))))
(neg.f64 (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))) (*.f64 a #s(literal -2 binary64))))
(neg.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))) a)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (-.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 #s(literal 1/2 binary64) (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))))))
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))) (*.f64 a #s(literal 2 binary64)))
(/.f64 (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))) (*.f64 a #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))))))
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(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 b (*.f64 b b)) (*.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) #s(literal 1/2 binary64))) (neg.f64 (*.f64 (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))) a)))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 b (*.f64 b b)) (*.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) #s(literal -1/2 binary64))) (neg.f64 (*.f64 (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))) (-.f64 #s(literal 0 binary64) a))))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 b b) (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) #s(literal 1/2 binary64))) (neg.f64 (*.f64 (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))) a)))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 b b) (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) #s(literal -1/2 binary64))) (neg.f64 (*.f64 (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))) (-.f64 #s(literal 0 binary64) a))))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))))) (neg.f64 (-.f64 #s(literal 0 binary64) a)))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (*.f64 b (*.f64 b b)) (*.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))))) (neg.f64 (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (*.f64 b b) (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) (-.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))))
(/.f64 (neg.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))) #s(literal 1 binary64))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (neg.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))) #s(literal -1/2 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) a)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))))) (neg.f64 (-.f64 #s(literal 0 binary64) a)))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 b (*.f64 b b)) (*.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) (/.f64 #s(literal 1/2 binary64) a))) (neg.f64 (fma.f64 b b (fma.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 b (*.f64 b b)) (*.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) (/.f64 #s(literal 1/2 binary64) a))) (neg.f64 (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a))) (pow.f64 (neg.f64 (/.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (*.f64 a #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 b a) #s(literal -1/2 binary64)) (*.f64 (/.f64 b a) #s(literal -1/2 binary64)) (-.f64 (*.f64 (neg.f64 (/.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (*.f64 a #s(literal 2 binary64)))) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (*.f64 a #s(literal 2 binary64))))) (*.f64 (*.f64 (/.f64 b a) #s(literal -1/2 binary64)) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (*.f64 a #s(literal 2 binary64))))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) b) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) b) (*.f64 (/.f64 #s(literal 1/2 binary64) a) b) (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) b) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))))))))
(/.f64 (+.f64 (pow.f64 (*.f64 b (/.f64 #s(literal 1/2 binary64) a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))) (/.f64 #s(literal 1/2 binary64) a)) #s(literal 3 binary64))) (fma.f64 (*.f64 b (/.f64 #s(literal 1/2 binary64) a)) (*.f64 b (/.f64 #s(literal 1/2 binary64) a)) (-.f64 (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))) (/.f64 #s(literal 1/2 binary64) a)) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))) (/.f64 #s(literal 1/2 binary64) a))) (*.f64 (*.f64 b (/.f64 #s(literal 1/2 binary64) a)) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))) (/.f64 #s(literal 1/2 binary64) a))))))
(pow.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 a (*.f64 (-.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 a (*.f64 #s(literal 1/2 binary64) (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))) (*.f64 a #s(literal 2 binary64))))
(*.f64 (-.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))) (/.f64 #s(literal 1/2 binary64) a))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))) a))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 a (-.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) #s(literal -1 binary64)))
(*.f64 (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))) (/.f64 #s(literal 1/2 binary64) a))
(*.f64 (+.f64 (neg.f64 (-.f64 #s(literal 0 binary64) b)) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -2 binary64))))
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))) (-.f64 #s(literal 0 binary64) a)))
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))) #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) (/.f64 #s(literal 1 binary64) a))
(*.f64 (*.f64 (-.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) a))
(*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))) #s(literal -2 binary64)))
(*.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))) a) #s(literal 1/2 binary64))
(*.f64 (pow.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 (*.f64 b (*.f64 b b)) (*.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (fma.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))))
(*.f64 (pow.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 (*.f64 b b) (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))))
(*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))) (*.f64 a #s(literal 2 binary64))) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))) (+.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))))
(*.f64 (/.f64 (-.f64 (*.f64 b (*.f64 b b)) (*.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) a) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (fma.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) #s(literal 2 binary64)))
(*.f64 (/.f64 (-.f64 (*.f64 b (*.f64 b b)) (*.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) a) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) #s(literal 2 binary64)))
(*.f64 (/.f64 (-.f64 (*.f64 b (*.f64 b b)) (*.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (fma.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) a))
(*.f64 (/.f64 (-.f64 (*.f64 b (*.f64 b b)) (*.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) a))
(*.f64 (/.f64 (-.f64 (*.f64 b b) (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) a) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) #s(literal 2 binary64)))
(*.f64 (/.f64 (-.f64 (*.f64 b b) (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) a) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) #s(literal 2 binary64)))
(*.f64 (/.f64 (-.f64 (*.f64 b b) (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) a))
(*.f64 (/.f64 (-.f64 (*.f64 b b) (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) a))
(*.f64 (/.f64 (fma.f64 b b (fma.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))) (*.f64 a #s(literal 2 binary64))) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))) (fma.f64 b b (fma.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))))
(*.f64 (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))) (*.f64 a #s(literal 2 binary64))) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))) (+.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))))
(*.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) a))
(*.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) a))

simplify597.0ms (5.8%)

Memory
3.3MiB live, 936.0MiB allocated
Algorithm
1×egg-herbie
Rules
7 676×accelerator-lowering-fma.f32
7 676×accelerator-lowering-fma.f64
6 818×*-lowering-*.f32
6 818×*-lowering-*.f64
5 444×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0111810374
1361910195
080949783
Stop Event
1×iter limit
1×node limit
Counts
552 → 552
Calls
Call 1
Inputs
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))
(* -1 (/ b a))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))
(* -1 (/ c b))
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))
(* -1 (/ b a))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
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(* (sqrt (/ c a)) (sqrt -1))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))
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b
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b
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b
(+ b (* -2 (/ (* a c) b)))
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(* (sqrt (* a c)) (sqrt -4))
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(* (sqrt (/ 1 (* a c))) (sqrt -1/4))
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(/ 1 b)
(/ (+ 1 (* 2 (/ (* a c) (pow b 2)))) b)
(/ (+ 1 (+ (* -1/2 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 2 (/ (* a c) (pow b 2))))) b)
(/ (+ 1 (+ (* -1/2 (/ (+ (* -64 (* (pow a 3) (pow c 3))) (* -2 (* a (* c (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))))))) (pow b 6))) (+ (* -1/2 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 2 (/ (* a c) (pow b 2)))))) b)
(/ -1 b)
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(* (sqrt (/ 1 (* a c))) (sqrt -1/4))
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(* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))
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(/ 1 b)
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(* (sqrt (/ 1 (* a c))) (sqrt -1/4))
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(* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))
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(+ (* -1 (/ (+ (* 1/64 (* (sqrt (/ a (pow c 5))) (* (pow b 4) (sqrt -1)))) (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1/256 (/ (* a (pow b 4)) (pow c 3))) (* 1/256 (/ (pow b 6) (pow c 4))))))) (pow a 3))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (/ b 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))
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(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(/ b a)
(/ b a)
(/ b a)
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(/ b a)
(/ b a)
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(/ b a)
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(/ b a)
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(/ c b)
(* c (+ (* -1 (/ b (* a c))) (/ 1 b)))
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(/ c b)
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(* -1 (/ b a))
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(* -1 (/ b a))
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(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 b)
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(- (/ (* a c) b) b)
(- (/ (* a c) b) b)
(/ (* a c) b)
(* c (+ (* -1 (/ b c)) (/ a b)))
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(* c (+ (* -1 (/ b c)) (/ a b)))
(/ (* a c) b)
(* -1 (* c (+ (* -1 (/ a b)) (/ b c))))
(* -1 (* c (+ (* -1 (/ a b)) (/ b c))))
(* -1 (* c (+ (* -1 (/ a b)) (/ b c))))
(* -1 b)
(- (/ (* a c) b) b)
(- (/ (* a c) b) b)
(- (/ (* a c) b) b)
(/ (* a c) b)
(* a (+ (* -1 (/ b a)) (/ c b)))
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(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
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(* -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))))
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(* -1 (* (sqrt (* a c)) (sqrt -4)))
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(* 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))))))
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(* 2 (/ (* a c) b))
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(* -1 (* (sqrt (* a c)) (sqrt -4)))
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(* 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))))))
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(* (sqrt (* a c)) (sqrt -4))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))
b
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 b)
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
(* -4 (* a c))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(pow b 2)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(pow b 2)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* -4 (* a c))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* -4 (* a c))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* -4 (* a c))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* -4 (* a c))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(* -1/2 (* (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)
(* -1 (/ (* b (- (* -1/2 a) (* 1/2 a))) (pow a 2)))
(* -1 (* b (- (+ (/ -1/2 a) (/ c (pow b 2))) (/ 1/2 a))))
(* -1 (* b (- (+ (/ -1/2 a) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1/2 a))))
(* -1 (* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ -1/2 a) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))))) (/ 1/2 a))))
(/ c b)
(+ (/ c b) (/ (* a (pow c 2)) (pow b 3)))
(+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b))
(+ (* a (+ (* a (+ (* 1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)) (* 2 (/ (pow c 3) (pow b 5))))) (/ (pow c 2) (pow b 3)))) (/ c b))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* 1/2 (/ b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (/ b a))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (* 1/2 (/ b a)))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* 1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/2 b) (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* -1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(/ 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 (* (sqrt (* (pow a 3) c)) (sqrt -4)))
(- (* 1/2 (* a b)) (* 1/2 (* (sqrt (* (pow a 3) c)) (sqrt -4))))
(- (* b (+ (* -1/4 (* (sqrt (/ a c)) (/ b (sqrt -4)))) (* 1/2 a))) (* 1/2 (* (sqrt (* (pow a 3) c)) (sqrt -4))))
(- (* b (+ (* 1/2 a) (* b (- (* 1/16 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))))))) (* 1/2 (* (sqrt (* (pow a 3) c)) (sqrt -4))))
(/ (* (pow a 2) c) b)
(/ (- (/ (* (pow a 3) (pow c 2)) (pow b 2)) (* -1 (* (pow a 2) c))) b)
(/ (- (* 2 (/ (* (pow a 4) (pow c 3)) (pow b 4))) (+ (* -1 (* (pow a 2) c)) (* -1 (/ (* (pow a 3) (pow c 2)) (pow b 2))))) b)
(/ (- (* 1/4 (/ (* a (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4))))) (pow b 6))) (+ (* -2 (/ (* (pow a 4) (pow c 3)) (pow b 4))) (+ (* -1 (* (pow a 2) c)) (* -1 (/ (* (pow a 3) (pow c 2)) (pow b 2)))))) b)
(* -1 (* b (- (* -1/2 a) (* 1/2 a))))
(* -1 (* b (- (+ (* -1/2 a) (/ (* (pow a 2) c) (pow b 2))) (* 1/2 a))))
(* -1 (* b (- (+ (* -1/2 a) (/ (* (pow a 3) (pow c 2)) (pow b 4))) (+ (* -1 (/ (* (pow a 2) c) (pow b 2))) (* 1/2 a)))))
(* -1 (* b (- (+ (* -1/2 a) (* 2 (/ (* (pow a 4) (pow c 3)) (pow b 6)))) (+ (* -1 (/ (* (pow a 2) c) (pow b 2))) (+ (* -1 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* 1/2 a))))))
(/ (* (pow a 2) c) b)
(* (pow a 2) (- (/ (* a (pow c 2)) (pow b 3)) (* -1 (/ c b))))
(* (pow a 2) (- (* a (- (* 2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))) (* -1 (/ c b))))
(* (pow a 2) (- (* a (- (* a (- (* 1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)) (* -2 (/ (pow c 3) (pow b 5))))) (* -1 (/ (pow c 2) (pow b 3))))) (* -1 (/ c b))))
(* -1/2 (* (sqrt (* (pow a 3) c)) (sqrt -4)))
(* (pow a 2) (- (* 1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(* (pow a 2) (- (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (/ b a))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(* (pow a 2) (- (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (* 1/2 (/ b a))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(* (sqrt (* (pow a 3) c)) (sqrt -1))
(* (pow a 2) (- (* 1/2 (/ b a)) (* -1 (* (sqrt (/ c a)) (sqrt -1)))))
(* (pow a 2) (- (* -1 (/ (+ (* -1/2 b) (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* -1 (* (sqrt (/ c a)) (sqrt -1)))))
(* (pow a 2) (- (* -1 (/ (+ (* -1 (/ (- (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* -1/2 b)) a)) (* -1 (* (sqrt (/ c a)) (sqrt -1)))))
(/ (* (pow a 2) c) b)
(* c (- (/ (* (pow a 3) c) (pow b 3)) (* -1 (/ (pow a 2) b))))
(* c (- (* c (- (* 2 (/ (* (pow a 4) c) (pow b 5))) (* -1 (/ (pow a 3) (pow b 3))))) (* -1 (/ (pow a 2) b))))
(* c (- (* c (- (* c (- (* 1/4 (/ (* a (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6)))))) b)) (* -2 (/ (pow a 4) (pow b 5))))) (* -1 (/ (pow a 3) (pow b 3))))) (* -1 (/ (pow a 2) b))))
(* -1/2 (* (sqrt (* (pow a 3) c)) (sqrt -4)))
(* c (- (* 1/2 (/ (* a b) c)) (* 1/2 (* (sqrt (/ (pow a 3) c)) (sqrt -4)))))
(* c (- (+ (* -1/4 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (/ (* a b) c))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (sqrt -4)))))
(* c (- (+ (* 1/16 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (* 1/2 (/ (* a b) c))) (+ (* 1/4 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (sqrt -4))))))
(* (sqrt (* (pow a 3) c)) (sqrt -1))
(* -1 (* c (- (* -1/2 (/ (* a b) c)) (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))
(* -1 (* c (- (* -1 (/ (+ (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/2 (* a b))) c)) (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))
(* -1 (* c (- (* -1 (/ (+ (* -1 (/ (- (* 1/128 (* (sqrt (/ 1 (* a c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (* a c)) (* (pow b 2) (sqrt -1))))) c)) (* 1/2 (* a b))) c)) (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))
(/ 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)))))
Outputs
(* -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 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 c (*.f64 c c))))) (/.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64))))) (*.f64 #s(literal -1/4 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (sqrt.f64 #s(literal -4 binary64))))) (/.f64 #s(literal -1/2 binary64) a)) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a)))
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))
(*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) a))))
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))
(*.f64 b (+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a a)) (pow.f64 b #s(literal 6 binary64))) (/.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))))
(* -1 (/ c b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))
(/.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c) (-.f64 #s(literal 0 binary64) b))
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))
(/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a a)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c)) (-.f64 #s(literal 0 binary64) b))
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))
(/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (*.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))) (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c))) (-.f64 #s(literal 0 binary64) b))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(+ (* -1 (/ b a)) (/ c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))
(fma.f64 c (fma.f64 a (/.f64 c (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) b)) (-.f64 #s(literal 0 binary64) (/.f64 b a)))
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))
(fma.f64 c (fma.f64 c (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 c (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))) (/.f64 a (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 1 binary64) b)) (-.f64 #s(literal 0 binary64) (/.f64 b a)))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(*.f64 #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 c a))) (/.f64 b (*.f64 c a)))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))
(*.f64 c (fma.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) (*.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (/.f64 b (*.f64 c a))))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))
(*.f64 c (fma.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (/.f64 b (*.f64 c a))) (fma.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 5 binary64))))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))))))))
(* (sqrt (/ c a)) (sqrt -1))
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 b (*.f64 c a))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64)))) (neg.f64 c))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))
(*.f64 (neg.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) b) a)) c))) (neg.f64 c))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)))))
(*.f64 (neg.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) b) a) (/.f64 (fma.f64 #s(literal 1/128 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (pow.f64 a #s(literal 5 binary64))))) (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #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))) (neg.f64 c))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/.f64 (-.f64 (/.f64 (*.f64 c a) b) b) a)
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/.f64 (fma.f64 a (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))) (/.f64 c b)) (-.f64 #s(literal 0 binary64) b)) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)
(/.f64 (fma.f64 a (fma.f64 a (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 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)) (-.f64 #s(literal 0 binary64) 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 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a)))))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))))
(+ (* -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 (pow.f64 a #s(literal 5 binary64)) (*.f64 c (*.f64 c c))))) (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 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 #s(literal -1/2 binary64) (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 b #s(literal 1/2 binary64))) a))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (-.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c))) (*.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 a (*.f64 c (*.f64 c c)))))))) a)) a))
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(*.f64 (sqrt.f64 (*.f64 c a)) (neg.f64 (sqrt.f64 #s(literal -4 binary64))))
(- (* -1 b) (* (sqrt (* a c)) (sqrt -4)))
(-.f64 (-.f64 #s(literal 0 binary64) b) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))))
(- (* b (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(-.f64 (*.f64 b (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 b (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))))
(- (* b (- (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(fma.f64 b (fma.f64 b (fma.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c)))))) (/.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -4 binary64))))) #s(literal -1 binary64)) (*.f64 (sqrt.f64 (*.f64 c a)) (neg.f64 (sqrt.f64 #s(literal -4 binary64)))))
(* -2 b)
(*.f64 b #s(literal -2 binary64))
(* b (- (* 2 (/ (* a c) (pow b 2))) 2))
(*.f64 b (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 c a) (*.f64 b b)) #s(literal -2 binary64)))
(* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(*.f64 b (+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b #s(literal 4 binary64))) #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 c a)) (*.f64 b b))))
(* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(*.f64 b (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 #s(literal -2 binary64) (fma.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 4 binary64))) (/.f64 (*.f64 c a) (*.f64 b b))) #s(literal 2 binary64))))
(* -2 (/ (* a c) b))
(/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) b)
(* -1 (/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) b))
(/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 a a) (/.f64 (*.f64 c c) (*.f64 b b)) (*.f64 c a))) (-.f64 #s(literal 0 binary64) b))
(* -1 (/ (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))
(/.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 4 binary64))) (*.f64 #s(literal 2 binary64) (fma.f64 c a (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (*.f64 b b))))) (-.f64 #s(literal 0 binary64) b))
(* -1 (/ (- (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b))
(/.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 4 binary64))))) (*.f64 #s(literal 2 binary64) (fma.f64 c a (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (*.f64 b b))))) (-.f64 #s(literal 0 binary64) b))
(* -2 b)
(*.f64 b #s(literal -2 binary64))
(- (* 2 (/ (* a c) b)) (* 2 b))
(*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (*.f64 c a) b) b))
(- (* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) (* 2 b))
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(*.f64 c (fma.f64 c (fma.f64 c (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (*.f64 c a) (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64))) b) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 5 binary64))))) (/.f64 (*.f64 a (*.f64 a a)) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a a) b)))
(* -1/2 (* (sqrt (* (pow a 3) c)) (sqrt -4)))
(*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c (*.f64 a (*.f64 a a))))))
(* c (- (* 1/2 (/ (* a b) c)) (* 1/2 (* (sqrt (/ (pow a 3) c)) (sqrt -4)))))
(*.f64 c (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (*.f64 a b) c) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 (*.f64 a (*.f64 a a)) c))))))
(* c (- (+ (* -1/4 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (/ (* a b) c))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (sqrt -4)))))
(*.f64 c (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 a (*.f64 c (*.f64 c c)))) (*.f64 b b)) (sqrt.f64 #s(literal -4 binary64))) (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (*.f64 a b) c) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 (*.f64 a (*.f64 a a)) c)))))))
(* c (- (+ (* 1/16 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (* 1/2 (/ (* a b) c))) (+ (* 1/4 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (sqrt -4))))))
(*.f64 c (-.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (pow.f64 c #s(literal 5 binary64)))))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a b)) c)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 (*.f64 a (*.f64 a a)) c))) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 a (*.f64 c (*.f64 c c))))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))))))
(* (sqrt (* (pow a 3) c)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c (*.f64 a (*.f64 a a)))))
(* -1 (* c (- (* -1/2 (/ (* a b) c)) (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))
(*.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a b)) c) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 (*.f64 a (*.f64 a a)) c)))) (neg.f64 c))
(* -1 (* c (- (* -1 (/ (+ (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/2 (* a b))) c)) (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))
(*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c))) (*.f64 #s(literal 1/2 binary64) (*.f64 a b))) (neg.f64 c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 (*.f64 a (*.f64 a a)) c)))) (neg.f64 c))
(* -1 (* c (- (* -1 (/ (+ (* -1 (/ (- (* 1/128 (* (sqrt (/ 1 (* a c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (* a c)) (* (pow b 2) (sqrt -1))))) c)) (* 1/2 (* a b))) c)) (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))
(-.f64 #s(literal 0 binary64) (*.f64 c (-.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a b)) (/.f64 (fma.f64 #s(literal 1/128 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (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 c a))))) c)) (neg.f64 c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 (*.f64 a (*.f64 a a)) c))))))
(/ c b)
(/.f64 c b)
(+ (/ c b) (/ (* a (pow c 2)) (pow b 3)))
(fma.f64 a (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))) (/.f64 c b))
(+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b))
(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))
(+ (* 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))
(fma.f64 a (fma.f64 a (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 a (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64))) b) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b)))) (/.f64 c b))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* 1/2 (/ b a)))
(*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (/ b a))))
(fma.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))) (*.f64 (*.f64 #s(literal -1/4 binary64) (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))) (+ (* -1/4 (* (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)))))
(+.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 c (*.f64 c c))))) (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 c (*.f64 a (*.f64 a a)))))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (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 (/ (+ (* -1/2 b) (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) 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 c a))) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal -1/2 binary64) b)) 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 (fma.f64 #s(literal -1/2 binary64) b (/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c))) (*.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 a (*.f64 c (*.f64 c c)))))))) (neg.f64 a))) a))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* 1/2 (/ b a)))
(*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(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 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 c (*.f64 c c))))) (/.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64))))) (*.f64 #s(literal -1/4 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (sqrt.f64 #s(literal -4 binary64))))) (/.f64 #s(literal 1/2 binary64) a)) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))))
(/ c b)
(/.f64 c b)
(/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)
(/.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c) b)
(/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b)
(/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a a)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c)) 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)
(/.f64 (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))) (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c))) b)
(/ b a)
(/.f64 b a)
(* -1 (* b (- (/ c (pow b 2)) (/ 1 a))))
(*.f64 (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a)) (-.f64 #s(literal 0 binary64) b))
(* -1 (* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))
(*.f64 (+.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))) (-.f64 #s(literal 0 binary64) b))
(* -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))))
(*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a a)) (pow.f64 b #s(literal 6 binary64))) (/.f64 c (*.f64 b b))) (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) a))) (-.f64 #s(literal 0 binary64) b))
(/ c b)
(/.f64 c b)
(* c (+ (/ 1 b) (/ (* a c) (pow b 3))))
(*.f64 c (fma.f64 a (/.f64 c (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) b)))
(* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))
(*.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)))
(* 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)))
(*.f64 c (fma.f64 c (fma.f64 c (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 c (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64))) (*.f64 a b)) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) (/.f64 a (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 1 binary64) b)))
(* -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 (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (*.f64 #s(literal 1/2 binary64) (/.f64 b (*.f64 c a)))))
(* 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))))))
(*.f64 c (fma.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (*.f64 #s(literal 1/2 binary64) (/.f64 b (*.f64 c a))))))
(* 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)))))))
(*.f64 c (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (fma.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 5 binary64))))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 b (*.f64 c a)))))))
(* (sqrt (/ c a)) (sqrt -1))
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1/2 (/ b (* a c))))))
(*.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) b) (*.f64 c a)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64)))) (neg.f64 c))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 1/2 (/ b a))) c)))))
(*.f64 (neg.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.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)))))
(-.f64 #s(literal 0 binary64) (*.f64 c (neg.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (*.f64 (/.f64 b a) #s(literal 1/2 binary64)) (/.f64 (fma.f64 #s(literal 1/128 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (pow.f64 a #s(literal 5 binary64))))) (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #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)))))

eval343.0ms (3.3%)

Memory
37.6MiB live, 615.8MiB allocated
Compiler

Compiled 69 752 to 6 135 computations (91.2% saved)

prune460.0ms (4.4%)

Memory
-2.4MiB live, 754.6MiB allocated
Pruning

27 alts after pruning (26 fresh and 1 done)

PrunedKeptTotal
New2 399172 416
Fresh1910
Picked415
Done000
Total2 404272 431
Accuracy
92.1%
Counts
2 431 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
22.9%
(/.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))))))))
23.5%
(/.f64 (/.f64 (fma.f64 b b (fma.f64 b b (*.f64 #s(literal 4 binary64) (*.f64 a c)))) (*.f64 a #s(literal 2 binary64))) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
9.2%
(/.f64 (/.f64 (*.f64 c a) b) a)
14.8%
(/.f64 (-.f64 (*.f64 (*.f64 b #s(literal 1/2 binary64)) a) (*.f64 a (*.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) #s(literal 1/2 binary64)))) (*.f64 a a))
✓41.9%
(/.f64 (-.f64 (*.f64 c (/.f64 a b)) b) a)
15.8%
(/.f64 (-.f64 (*.f64 c (exp.f64 (*.f64 (log.f64 (/.f64 b a)) #s(literal -1 binary64)))) b) a)
▶44.9%
(/.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))
31.3%
(/.f64 (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (*.f64 c a)))))) (*.f64 #s(literal 2 binary64) a))
34.2%
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))
9.2%
(/.f64 c b)
▶2.3%
(/.f64 b a)
33.6%
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))))
33.6%
(/.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))
▶41.9%
(/.f64 #s(literal -1 binary64) (/.f64 a b))
42.0%
(-.f64 (/.f64 c b) (/.f64 b a))
41.9%
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
30.4%
(-.f64 #s(literal 0 binary64) (/.f64 c b))
14.8%
(-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 a b)) #s(literal -1 binary64))))
20.9%
(*.f64 (fma.f64 b b (fma.f64 b b (*.f64 #s(literal 4 binary64) (*.f64 a c)))) (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 #s(literal 2 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))))))
▶1.8%
(*.f64 (/.f64 (*.f64 (/.f64 b a) b) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 b a)))
3.0%
(*.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (/.f64 a b))
2.3%
(*.f64 (/.f64 #s(literal 1 binary64) a) b)
▶24.0%
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))))
2.0%
(*.f64 (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a)) (-.f64 #s(literal 0 binary64) b))
41.9%
(*.f64 b (neg.f64 (/.f64 #s(literal 1 binary64) a)))
42.1%
(neg.f64 (/.f64 b a))
25.0%
(exp.f64 (*.f64 (log.f64 (/.f64 a (-.f64 (fma.f64 c (/.f64 a b) #s(literal 0 binary64)) b))) #s(literal -1 binary64)))
Compiler

Compiled 830 to 539 computations (35.1% saved)

simplify246.0ms (2.4%)

Memory
-4.3MiB live, 471.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 b a)
✓cost-diff704
(/.f64 (*.f64 (/.f64 b a) b) #s(literal 1 binary64))
✓cost-diff1408
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 b a))
✓cost-diff1408
(*.f64 (/.f64 (*.f64 (/.f64 b a) b) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 b a)))
✓cost-diff0
(sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))
✓cost-diff0
(-.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))))
✓cost-diff0
(/.f64 #s(literal 1/2 binary64) a)
✓cost-diff0
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))))
✓cost-diff0
(/.f64 a b)
✓cost-diff512
(/.f64 #s(literal -1 binary64) (/.f64 a b))
✓cost-diff0
(/.f64 b a)
✓cost-diff0
(*.f64 c (*.f64 a #s(literal -4 binary64)))
✓cost-diff0
(/.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))))))
✓cost-diff0
(-.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)))))))
✓cost-diff128
(/.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))
Rules
4 506×*-lowering-*.f32
4 506×*-lowering-*.f64
4 104×/-lowering-/.f32
4 104×/-lowering-/.f64
3 962×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032194
173193
2186189
3533187
41376187
54075187
08299180
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (- (neg b) (/ (+ (* b b) (* c (* a -4))) (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a))
(- (neg b) (/ (+ (* b b) (* c (* a -4))) (sqrt (+ (* b b) (* c (* a -4))))))
(neg b)
b
(/ (+ (* b b) (* c (* a -4))) (sqrt (+ (* b b) (* c (* a -4)))))
(+ (* b b) (* c (* a -4)))
(* c (* a -4))
c
(* a -4)
a
-4
(sqrt (+ (* b b) (* c (* a -4))))
(* 2 a)
2
(/ b a)
b
a
(/ -1 (/ a b))
-1
(/ a b)
a
b
(* (/ 1/2 a) (- b (sqrt (* -4 (* c a)))))
(/ 1/2 a)
1/2
a
(- b (sqrt (* -4 (* c a))))
b
(sqrt (* -4 (* c a)))
(* -4 (* c a))
-4
(* c a)
c
(* (/ (* (/ b a) b) 1) (/ (/ 1 a) (/ b a)))
(/ (* (/ b a) b) 1)
(* (/ b a) b)
(/ b a)
b
a
1
(/ (/ 1 a) (/ b a))
(/ 1 a)
Outputs
(/ (- (neg b) (/ (+ (* b b) (* c (* a -4))) (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a))
(fma.f64 (+.f64 b (/.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))))) (/.f64 #s(literal -1/2 binary64) a) #s(literal 0 binary64))
(- (neg b) (/ (+ (* b b) (* c (* a -4))) (sqrt (+ (* b b) (* c (* a -4))))))
(-.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))))))
(neg b)
(-.f64 #s(literal 0 binary64) b)
b
(/ (+ (* b b) (* c (* a -4))) (sqrt (+ (* b b) (* c (* a -4)))))
(/.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))))
(+ (* b b) (* c (* a -4)))
(fma.f64 c (*.f64 a #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 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)
(sqrt (+ (* b b) (* c (* a -4))))
(sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
2
#s(literal 2 binary64)
(/ b a)
(/.f64 b a)
b
a
(/ -1 (/ a b))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
-1
#s(literal -1 binary64)
(/ a b)
(/.f64 a b)
a
b
(* (/ 1/2 a) (- b (sqrt (* -4 (* c a)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))))) a)
(/ 1/2 a)
(/.f64 #s(literal 1/2 binary64) a)
1/2
#s(literal 1/2 binary64)
a
(- b (sqrt (* -4 (* c a))))
(-.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))))
b
(sqrt (* -4 (* c a)))
(sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))
(* -4 (* c a))
(*.f64 c (*.f64 a #s(literal -4 binary64)))
-4
#s(literal -4 binary64)
(* c a)
(*.f64 c a)
c
(* (/ (* (/ b a) b) 1) (/ (/ 1 a) (/ b a)))
(/.f64 b a)
(/ (* (/ b a) b) 1)
(fma.f64 b (/.f64 b a) #s(literal 0 binary64))
(* (/ b a) b)
(fma.f64 b (/.f64 b a) #s(literal 0 binary64))
(/ b a)
(/.f64 b a)
b
a
1
#s(literal 1 binary64)
(/ (/ 1 a) (/ b a))
(/.f64 #s(literal 1 binary64) b)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)

localize144.0ms (1.4%)

Memory
42.1MiB live, 193.4MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) a)
✓accuracy99.9%
(*.f64 (/.f64 b a) b)
✓accuracy85.3%
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 b a))
✓accuracy83.3%
(*.f64 (/.f64 (*.f64 (/.f64 b a) b) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 b a)))
✓accuracy100.0%
(*.f64 c a)
✓accuracy100.0%
(*.f64 #s(literal -4 binary64) (*.f64 c a))
✓accuracy99.7%
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))))
✓accuracy86.4%
(sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))
✓accuracy100.0%
(/.f64 a b)
✓accuracy99.7%
(/.f64 #s(literal -1 binary64) (/.f64 a b))
✓accuracy100.0%
(/.f64 b a)
✓accuracy98.7%
(/.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))
✓accuracy88.7%
(-.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)))))))
✓accuracy77.0%
(sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))
✓accuracy76.8%
(/.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))))))
Samples
55.0ms85×0invalid
28.0ms133×0valid
10.0ms13×2valid
8.0ms22×1valid
2.0ms3×3valid
Compiler

Compiled 202 to 34 computations (83.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 46.0ms
ival-div: 15.0ms (32.8% of total)
ival-mult: 15.0ms (32.8% of total)
ival-add: 6.0ms (13.1% of total)
ival-sqrt: 4.0ms (8.7% of total)
ival-sub: 3.0ms (6.6% of total)
ival-neg: 2.0ms (4.4% of total)
adjust: 1.0ms (2.2% of total)
exact: 1.0ms (2.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series24.0ms (0.2%)

Memory
-29.7MiB live, 46.8MiB allocated
Counts
19 → 504
Calls
Call 1
Inputs
#<alt (/ (- (neg b) (/ (+ (* b b) (* c (* a -4))) (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a))>
#<alt (- (neg b) (/ (+ (* b b) (* c (* a -4))) (sqrt (+ (* b b) (* c (* a -4))))))>
#<alt (/ (+ (* b b) (* c (* a -4))) (sqrt (+ (* b b) (* c (* a -4)))))>
#<alt (* c (* a -4))>
#<alt (/ b a)>
#<alt (/ -1 (/ a b))>
#<alt (/ a b)>
#<alt (* (/ 1/2 a) (- b (sqrt (* -4 (* c a)))))>
#<alt (/ 1/2 a)>
#<alt (- b (sqrt (* -4 (* c a))))>
#<alt (sqrt (* -4 (* c a)))>
#<alt (* (/ (* (/ b a) b) 1) (/ (/ 1 a) (/ b a)))>
#<alt (/ (/ 1 a) (/ b a))>
#<alt (/ (* (/ b a) b) 1)>
#<alt (sqrt (+ (* b b) (* c (* a -4))))>
#<alt (* -4 (* c a))>
#<alt (* c a)>
#<alt (* (/ b a) b)>
#<alt (/ 1 a)>
Outputs
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))>
#<alt (* -1 (/ b a))>
#<alt (* b (- (/ c (pow b 2)) (/ 1 a)))>
#<alt (* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))>
#<alt (* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))>
#<alt (* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))>
#<alt (* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))>
#<alt (* -1 (/ b a))>
#<alt (+ (* -1 (/ b a)) (/ c b))>
#<alt (+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))>
#<alt (+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))>
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))>
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))>
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)))))>
#<alt (* -1 (/ b a))>
#<alt (/ (+ (* -1 b) (/ (* a c) b)) a)>
#<alt (/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)>
#<alt (/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)>
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -4)))>
#<alt (- (* -1 b) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (- (* b (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (- (* b (- (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (* -2 b)>
#<alt (* b (- (* 2 (/ (* a c) (pow b 2))) 2))>
#<alt (* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2))))))>
#<alt (* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -1 (/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) b))>
#<alt (* -1 (/ (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))>
#<alt (* -1 (/ (- (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b))>
#<alt (* -2 b)>
#<alt (- (* 2 (/ (* a c) b)) (* 2 b))>
#<alt (- (* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) (* 2 b))>
#<alt (- (* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) (* 2 b))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -4)))>
#<alt (* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))>
#<alt (* c (- (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))>
#<alt (* c (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))))>
#<alt (* 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 (* -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 (* (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))))))>
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#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
Calls

126 calls:

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

rewrite235.0ms (2.3%)

Memory
-15.6MiB live, 198.9MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
996×*-lowering-*.f32
996×*-lowering-*.f64
838×/-lowering-/.f32
838×/-lowering-/.f64
718×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032166
1169161
01486150
Stop Event
1×iter limit
1×iter limit
1×node limit
Counts
19 → 385
Calls
Call 1
Inputs
(/ (- (neg b) (/ (+ (* b b) (* c (* a -4))) (sqrt (+ (* b b) (* c (* a -4)))))) (* 2 a))
(- (neg b) (/ (+ (* b b) (* c (* a -4))) (sqrt (+ (* b b) (* c (* a -4))))))
(/ (+ (* b b) (* c (* a -4))) (sqrt (+ (* b b) (* c (* a -4)))))
(* c (* a -4))
(/ b a)
(/ -1 (/ a b))
(/ a b)
(* (/ 1/2 a) (- b (sqrt (* -4 (* c a)))))
(/ 1/2 a)
(- b (sqrt (* -4 (* c a))))
(sqrt (* -4 (* c a)))
(* (/ (* (/ b a) b) 1) (/ (/ 1 a) (/ b a)))
(/ (/ 1 a) (/ b a))
(/ (* (/ b a) b) 1)
(sqrt (+ (* b b) (* c (* a -4))))
(* -4 (* c a))
(* c a)
(* (/ b a) b)
(/ 1 a)
Outputs
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b a)) (neg.f64 (/.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (*.f64 (*.f64 a #s(literal 2 binary64)) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))))
(-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b a)) (/.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (*.f64 (*.f64 a #s(literal 2 binary64)) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))))
(fma.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 #s(literal 1/2 binary64) a) (neg.f64 (/.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (*.f64 (*.f64 a #s(literal 2 binary64)) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))))
(fma.f64 #s(literal -1 binary64) (/.f64 b (*.f64 a #s(literal 2 binary64))) (neg.f64 (/.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (*.f64 (*.f64 a #s(literal 2 binary64)) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (neg.f64 (/.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (*.f64 (*.f64 a #s(literal 2 binary64)) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))))
(fma.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 b #s(literal 2 binary64)) (neg.f64 (/.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (*.f64 (*.f64 a #s(literal 2 binary64)) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))))
(neg.f64 (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) 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 a #s(literal -2 binary64))))
(neg.f64 (/.f64 (+.f64 (neg.f64 (-.f64 #s(literal 0 binary64) 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 a #s(literal 2 binary64))))
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) 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 a #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal 0 binary64) 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 1 binary64) (/.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal 0 binary64) 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 1 binary64) (/.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal 0 binary64) 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)))))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (-.f64 (-.f64 #s(literal 0 binary64) 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))))))) #s(literal 1/2 binary64))))
(/.f64 (+.f64 (neg.f64 (-.f64 #s(literal 0 binary64) 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 a #s(literal -2 binary64)))
(/.f64 (-.f64 (neg.f64 (*.f64 b (*.f64 b b))) (pow.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)))))) #s(literal 3 binary64))) (*.f64 (*.f64 a #s(literal 2 binary64)) (fma.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 #s(literal 0 binary64) 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 b b))))
(/.f64 (-.f64 (*.f64 b b) (/.f64 (*.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (*.f64 (*.f64 a #s(literal 2 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) 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 (*.f64 (-.f64 (-.f64 #s(literal 0 binary64) 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))))))) #s(literal 1/2 binary64)) a)
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) (*.f64 a #s(literal 2 binary64))) (*.f64 (*.f64 a #s(literal 2 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 (*.f64 a #s(literal 2 binary64)) (*.f64 a #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (neg.f64 (*.f64 b (*.f64 b b))) (pow.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)))))) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.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 #s(literal 0 binary64) 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 b b)) (*.f64 a #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (*.f64 b b) (/.f64 (*.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 (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)))))))) #s(literal 1 binary64)) (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) 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 a #s(literal 2 binary64))))
(/.f64 (neg.f64 (+.f64 (neg.f64 (-.f64 #s(literal 0 binary64) 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)))))))) (neg.f64 (*.f64 a #s(literal -2 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 (-.f64 #s(literal 0 binary64) 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))))))) #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) a))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b a)) #s(literal 3 binary64)) (pow.f64 (/.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (*.f64 (*.f64 a #s(literal 2 binary64)) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b a)) (*.f64 #s(literal -1/2 binary64) (/.f64 b a)) (fma.f64 (/.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (*.f64 (*.f64 a #s(literal 2 binary64)) (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 (*.f64 a #s(literal 2 binary64)) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b a)) (/.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (*.f64 (*.f64 a #s(literal 2 binary64)) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b a)) (*.f64 #s(literal -1/2 binary64) (/.f64 b a))) (*.f64 (/.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (*.f64 (*.f64 a #s(literal 2 binary64)) (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 (*.f64 a #s(literal 2 binary64)) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (/.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (*.f64 (*.f64 a #s(literal 2 binary64)) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))))
(/.f64 (*.f64 (-.f64 (-.f64 #s(literal 0 binary64) 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))))))) #s(literal 1 binary64)) (*.f64 a #s(literal 2 binary64)))
(/.f64 (*.f64 (-.f64 (neg.f64 (*.f64 b (*.f64 b b))) (pow.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)))))) #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) a)) (fma.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 #s(literal 0 binary64) 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 b b)))
(/.f64 (*.f64 (-.f64 (*.f64 b b) (/.f64 (*.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (/.f64 #s(literal 1/2 binary64) a)) (+.f64 (-.f64 #s(literal 0 binary64) 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 (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) 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))))))) a) #s(literal 2 binary64))
(pow.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal 0 binary64) 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)))))))) #s(literal -1 binary64))
(*.f64 (-.f64 (-.f64 #s(literal 0 binary64) 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 1/2 binary64) a))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (-.f64 #s(literal 0 binary64) 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 1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) 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 a #s(literal 2 binary64))))
(*.f64 (+.f64 (neg.f64 (-.f64 #s(literal 0 binary64) 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 1 binary64) (*.f64 a #s(literal -2 binary64))))
(*.f64 (*.f64 (-.f64 (-.f64 #s(literal 0 binary64) 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))))))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) a))
(+.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (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)))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (-.f64 #s(literal 0 binary64) b))
(-.f64 (-.f64 #s(literal 0 binary64) 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 0 binary64) (+.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 0 binary64) (-.f64 b (/.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))))
(-.f64 (/.f64 (neg.f64 (*.f64 b (*.f64 b b))) (fma.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 #s(literal 0 binary64) 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 b b))) (/.f64 (pow.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)))))) #s(literal 3 binary64)) (fma.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 #s(literal 0 binary64) 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 b b))))
(-.f64 (/.f64 (*.f64 b b) (+.f64 (-.f64 #s(literal 0 binary64) 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 (/.f64 (*.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (+.f64 (-.f64 #s(literal 0 binary64) 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)))))))))
(fma.f64 b #s(literal -1 binary64) (/.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))))
(fma.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (-.f64 #s(literal 0 binary64) b))
(fma.f64 #s(literal -1 binary64) b (/.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))))
(fma.f64 #s(literal -1 binary64) (/.f64 (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 0 binary64) b))
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(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (/.f64 b a)) #s(literal 1 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 b a))
(/.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 (-.f64 #s(literal 0 binary64) a) b))
(/.f64 (/.f64 #s(literal -1 binary64) a) (-.f64 #s(literal 0 binary64) (/.f64 b a)))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 a b)) (-.f64 #s(literal 0 binary64) a))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) (/.f64 #s(literal 1 binary64) a))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) a)) (*.f64 a (-.f64 #s(literal 0 binary64) b)))
(/.f64 (*.f64 #s(literal 1 binary64) a) (*.f64 a b))
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) a)) (*.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 #s(literal 0 binary64) b)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) a) b)
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) a)) (-.f64 #s(literal 0 binary64) b))
(pow.f64 (*.f64 a (/.f64 b a)) #s(literal -1 binary64))
(*.f64 a (/.f64 #s(literal 1 binary64) (*.f64 b a)))
(*.f64 (/.f64 a b) (/.f64 #s(literal 1 binary64) a))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 (-.f64 #s(literal 0 binary64) a) b)))
(*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 a b))
(*.f64 (/.f64 #s(literal -1 binary64) a) (-.f64 #s(literal 0 binary64) (/.f64 a b)))
(*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) a)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) a)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) a) (/.f64 #s(literal 1 binary64) b))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) b)) (-.f64 #s(literal 0 binary64) a))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64)) (/.f64 a b))
(neg.f64 (/.f64 (*.f64 b b) (-.f64 #s(literal 0 binary64) a)))
(/.f64 b (/.f64 a b))
(/.f64 (*.f64 b b) a)
(/.f64 (*.f64 b b) (*.f64 #s(literal 1 binary64) a))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) a)))
(/.f64 (/.f64 (*.f64 b b) a) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) a))
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b b)))
(/.f64 (/.f64 (*.f64 b b) (-.f64 #s(literal 0 binary64) a)) #s(literal -1 binary64))
(/.f64 (*.f64 (*.f64 b b) #s(literal 1 binary64)) a)
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) b) (-.f64 #s(literal 0 binary64) a))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) b) (*.f64 (-.f64 #s(literal 0 binary64) a) #s(literal 1 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) b) (/.f64 a b))
(/.f64 (*.f64 #s(literal 1 binary64) b) (*.f64 (/.f64 a b) #s(literal 1 binary64)))
(/.f64 (neg.f64 (*.f64 b b)) (-.f64 #s(literal 0 binary64) a))
(/.f64 (*.f64 b (-.f64 #s(literal 0 binary64) b)) (-.f64 #s(literal 0 binary64) a))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) a) #s(literal -1 binary64))
(*.f64 b (/.f64 b a))
(*.f64 b (/.f64 (/.f64 b a) #s(literal 1 binary64)))
(*.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) a))
(*.f64 (/.f64 b a) b)
(*.f64 (/.f64 (*.f64 b b) a) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) a))
(*.f64 (/.f64 (*.f64 b b) (-.f64 #s(literal 0 binary64) a)) #s(literal -1 binary64))
(exp.f64 (*.f64 (log.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) #s(literal 1/2 binary64)))
(hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))))
(hypot.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))))
(hypot.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))) b)
(hypot.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))) (-.f64 #s(literal 0 binary64) b))
(hypot.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))) (pow.f64 b #s(literal 1 binary64)))
(hypot.f64 (pow.f64 b #s(literal 1 binary64)) (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))))
(sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))
(/.f64 (sqrt.f64 (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 #s(literal 16 binary64) (*.f64 (*.f64 c a) (*.f64 c a)))))) (sqrt.f64 (fma.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (-.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 b b)) (*.f64 b (*.f64 b (*.f64 b b))))))
(/.f64 (sqrt.f64 (*.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (fma.f64 b b (*.f64 #s(literal 4 binary64) (*.f64 c a))))) (sqrt.f64 (fma.f64 b b (*.f64 #s(literal 4 binary64) (*.f64 c a)))))
(pow.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal 1/2 binary64))
(*.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)))
(sqrt.f64 (*.f64 #s(literal 16 binary64) (*.f64 (*.f64 c a) (*.f64 c a))))
(pow.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 16 binary64) (*.f64 (*.f64 c a) (*.f64 c a))) #s(literal 1/2 binary64))
(*.f64 c (*.f64 a #s(literal -4 binary64)))
(*.f64 a (*.f64 c #s(literal -4 binary64)))
(*.f64 #s(literal -4 binary64) (*.f64 c a))
(*.f64 (*.f64 a #s(literal -4 binary64)) c)
(*.f64 (*.f64 c a) #s(literal -4 binary64))
(*.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))))
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))))
(*.f64 (*.f64 c #s(literal -4 binary64)) a)
(*.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 (*.f64 c a))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (*.f64 c a)))
(*.f64 c a)
(*.f64 a c)
(neg.f64 (/.f64 (*.f64 b b) (-.f64 #s(literal 0 binary64) a)))
(/.f64 b (/.f64 a b))
(/.f64 (*.f64 b b) a)
(/.f64 (*.f64 b b) (*.f64 #s(literal 1 binary64) a))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) a)))
(/.f64 (/.f64 (*.f64 b b) a) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) a))
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b b)))
(/.f64 (/.f64 (*.f64 b b) (-.f64 #s(literal 0 binary64) a)) #s(literal -1 binary64))
(/.f64 (*.f64 (*.f64 b b) #s(literal 1 binary64)) a)
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) b) (-.f64 #s(literal 0 binary64) a))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) b) (*.f64 (-.f64 #s(literal 0 binary64) a) #s(literal 1 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) b) (/.f64 a b))
(/.f64 (*.f64 #s(literal 1 binary64) b) (*.f64 (/.f64 a b) #s(literal 1 binary64)))
(/.f64 (neg.f64 (*.f64 b b)) (-.f64 #s(literal 0 binary64) a))
(/.f64 (*.f64 b (-.f64 #s(literal 0 binary64) b)) (-.f64 #s(literal 0 binary64) a))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) a) #s(literal -1 binary64))
(*.f64 b (/.f64 b a))
(*.f64 b (/.f64 (/.f64 b a) #s(literal 1 binary64)))
(*.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) a))
(*.f64 (/.f64 b a) b)
(*.f64 (/.f64 (*.f64 b b) a) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) a))
(*.f64 (/.f64 (*.f64 b b) (-.f64 #s(literal 0 binary64) a)) #s(literal -1 binary64))
(exp.f64 (*.f64 (log.f64 a) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) a))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) a))
(/.f64 #s(literal 1 binary64) a)
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) a)))
(pow.f64 a #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) a))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a))
(*.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64))
(*.f64 (pow.f64 a #s(literal -1/2 binary64)) (pow.f64 a #s(literal -1/2 binary64)))

simplify487.0ms (4.7%)

Memory
3.5MiB live, 676.5MiB allocated
Algorithm
1×egg-herbie
Rules
9 916×accelerator-lowering-fma.f32
9 916×accelerator-lowering-fma.f64
7 816×*-lowering-*.f32
7 816×*-lowering-*.f64
2 332×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05605946
117625905
259045839
081205631
Stop Event
1×iter limit
1×node limit
Counts
504 → 504
Calls
Call 1
Inputs
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))
(* -1 (/ b a))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))
(* -1 (/ c b))
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))
(* -1 (/ b a))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))
(* (sqrt (/ c a)) (sqrt -1))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)))))
(* -1 (/ b a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(- (* -1 b) (* (sqrt (* a c)) (sqrt -4)))
(- (* b (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(- (* b (- (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(* -2 b)
(* b (- (* 2 (/ (* a c) (pow b 2))) 2))
(* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -2 (/ (* a c) b))
(* -1 (/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) b))
(* -1 (/ (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))
(* -1 (/ (- (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b))
(* -2 b)
(- (* 2 (/ (* a c) b)) (* 2 b))
(- (* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) (* 2 b))
(- (* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) (* 2 b))
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))
(* c (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))))
(* 2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (- (/ b c) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -2 b)
(- (* 2 (/ (* a c) b)) (* 2 b))
(- (* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) (* 2 b))
(- (* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) (* 2 b))
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))
(* a (- (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))))
(* 2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (- (/ b a) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* (sqrt (* a c)) (sqrt -4))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))
b
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 b)
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(* -1 (/ b a))
(* -1 (/ b a))
(* -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))
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(* 1/2 (/ (- 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)))
(* -1/2 (* (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)))
(* 1/2 (/ b a))
(* b (+ (* -1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a))))
(* b (+ (* -1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a))))
(* b (+ (* -1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a))))
(* 1/2 (/ b a))
(* -1 (* b (- (* 1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a)))))
(* -1 (* b (- (* 1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a)))))
(* -1 (* b (- (* 1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a)))))
(* 1/2 (/ (- b (* (sqrt (* a c)) (sqrt -4))) a))
(* 1/2 (/ (- b (* (sqrt (* a c)) (sqrt -4))) a))
(* 1/2 (/ (- b (* (sqrt (* a c)) (sqrt -4))) a))
(* 1/2 (/ (- b (* (sqrt (* a c)) (sqrt -4))) a))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* 1/2 (/ b (* a c)))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* 1/2 (/ b (* a c)))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* 1/2 (/ b (* a c)))))
(* (sqrt (/ c a)) (sqrt -1))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1/2 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1/2 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1/2 (/ b (* a c))))))
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(- b (* (sqrt (* a c)) (sqrt -4)))
(- b (* (sqrt (* a c)) (sqrt -4)))
(- b (* (sqrt (* a c)) (sqrt -4)))
b
(* b (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b)))))
(* b (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b)))))
(* b (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b)))))
b
(* -1 (* b (- (* (sqrt (* a c)) (/ (sqrt -4) b)) 1)))
(* -1 (* b (- (* (sqrt (* a c)) (/ (sqrt -4) b)) 1)))
(* -1 (* b (- (* (sqrt (* a c)) (/ (sqrt -4) b)) 1)))
(- b (* (sqrt (* a c)) (sqrt -4)))
(- b (* (sqrt (* a c)) (sqrt -4)))
(- b (* (sqrt (* a c)) (sqrt -4)))
(- b (* (sqrt (* a c)) (sqrt -4)))
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(* c (- (/ b c) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (/ b c) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (/ b c) (* (sqrt (/ a c)) (sqrt -4))))
(* 2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (- (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (- (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (- (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(- b (* (sqrt (* a c)) (sqrt -4)))
(- b (* (sqrt (* a c)) (sqrt -4)))
(- b (* (sqrt (* a c)) (sqrt -4)))
(- b (* (sqrt (* a c)) (sqrt -4)))
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(* a (- (/ b a) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (/ b a) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (/ b a) (* (sqrt (/ c a)) (sqrt -4))))
(* 2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (- (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (- (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (- (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(* (sqrt (* a c)) (sqrt -4))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))
b
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 b)
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
Outputs
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -1/2 binary64)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(*.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(fma.f64 b (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 a a))))) (/.f64 b (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) (/.f64 #s(literal -1/2 binary64) a)) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -1/2 binary64))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))
(fma.f64 b (fma.f64 b (fma.f64 #s(literal -1/64 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 c (*.f64 c c))))) (*.f64 b b)) (sqrt.f64 #s(literal -4 binary64))) (*.f64 #s(literal -1/4 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 a a))))) (sqrt.f64 #s(literal -4 binary64))))) (/.f64 #s(literal -1/2 binary64) a)) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -1/2 binary64))))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a)))
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))
(*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (fma.f64 a (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b b))) (/.f64 #s(literal -1 binary64) a))))
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))
(*.f64 b (+.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b b))) (/.f64 c (*.f64 b b))) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 a (*.f64 c (*.f64 c (*.f64 c a)))) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal -1 binary64) a))))
(* -1 (/ c b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))
(/.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c) (-.f64 #s(literal 0 binary64) b))
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))
(/.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b))) c)) (-.f64 #s(literal 0 binary64) b))
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))
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(*.f64 (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 c (*.f64 a a))))) (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/4 binary64)))) (-.f64 #s(literal 0 binary64) a))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 c (*.f64 c c))))) (*.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/64 binary64)) (fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 a a))))) (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/4 binary64))))) (-.f64 #s(literal 0 binary64) a))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 c (*.f64 c c))))) (*.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/64 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 7 binary64))))) (*.f64 (*.f64 (pow.f64 b #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/512 binary64)) (fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 a a))))) (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/4 binary64)))))) (-.f64 #s(literal 0 binary64) a))
(* -4 (* a c))
(*.f64 c (*.f64 a #s(literal -4 binary64)))
(* -4 (* a c))
(*.f64 c (*.f64 a #s(literal -4 binary64)))
(* -4 (* a c))
(*.f64 c (*.f64 a #s(literal -4 binary64)))
(* -4 (* a c))
(*.f64 c (*.f64 a #s(literal -4 binary64)))
(* -4 (* a c))
(*.f64 c (*.f64 a #s(literal -4 binary64)))
(* -4 (* a c))
(*.f64 c (*.f64 a #s(literal -4 binary64)))
(* -4 (* a c))
(*.f64 c (*.f64 a #s(literal -4 binary64)))
(* -4 (* a c))
(*.f64 c (*.f64 a #s(literal -4 binary64)))
(* -4 (* a c))
(*.f64 c (*.f64 a #s(literal -4 binary64)))
(* -4 (* a c))
(*.f64 c (*.f64 a #s(literal -4 binary64)))
(* -4 (* a c))
(*.f64 c (*.f64 a #s(literal -4 binary64)))
(* -4 (* a c))
(*.f64 c (*.f64 a #s(literal -4 binary64)))
(* -4 (* a c))
(*.f64 c (*.f64 a #s(literal -4 binary64)))
(* -4 (* a c))
(*.f64 c (*.f64 a #s(literal -4 binary64)))
(* -4 (* a c))
(*.f64 c (*.f64 a #s(literal -4 binary64)))
(* -4 (* a c))
(*.f64 c (*.f64 a #s(literal -4 binary64)))
(* -4 (* a c))
(*.f64 c (*.f64 a #s(literal -4 binary64)))
(* -4 (* a c))
(*.f64 c (*.f64 a #s(literal -4 binary64)))
(* -4 (* a c))
(*.f64 c (*.f64 a #s(literal -4 binary64)))
(* -4 (* a c))
(*.f64 c (*.f64 a #s(literal -4 binary64)))
(* -4 (* a c))
(*.f64 c (*.f64 a #s(literal -4 binary64)))
(* -4 (* a c))
(*.f64 c (*.f64 a #s(literal -4 binary64)))
(* -4 (* a c))
(*.f64 c (*.f64 a #s(literal -4 binary64)))
(* -4 (* a c))
(*.f64 c (*.f64 a #s(literal -4 binary64)))
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(/ (pow b 2) a)
(/.f64 (*.f64 b b) a)
(/ (pow b 2) a)
(/.f64 (*.f64 b b) a)
(/ (pow b 2) a)
(/.f64 (*.f64 b b) a)
(/ (pow b 2) a)
(/.f64 (*.f64 b b) a)
(/ (pow b 2) a)
(/.f64 (*.f64 b b) a)
(/ (pow b 2) a)
(/.f64 (*.f64 b b) a)
(/ (pow b 2) a)
(/.f64 (*.f64 b b) a)
(/ (pow b 2) a)
(/.f64 (*.f64 b b) a)
(/ (pow b 2) a)
(/.f64 (*.f64 b b) a)
(/ (pow b 2) a)
(/.f64 (*.f64 b b) a)
(/ (pow b 2) a)
(/.f64 (*.f64 b b) a)
(/ (pow b 2) a)
(/.f64 (*.f64 b b) a)
(/ (pow b 2) a)
(/.f64 (*.f64 b b) a)
(/ (pow b 2) a)
(/.f64 (*.f64 b b) a)
(/ (pow b 2) a)
(/.f64 (*.f64 b b) a)
(/ (pow b 2) a)
(/.f64 (*.f64 b b) a)
(/ (pow b 2) a)
(/.f64 (*.f64 b b) a)
(/ (pow b 2) a)
(/.f64 (*.f64 b b) a)
(/ (pow b 2) a)
(/.f64 (*.f64 b b) a)
(/ (pow b 2) a)
(/.f64 (*.f64 b b) a)
(/ (pow b 2) a)
(/.f64 (*.f64 b b) a)
(/ (pow b 2) a)
(/.f64 (*.f64 b b) a)
(/ (pow b 2) a)
(/.f64 (*.f64 b b) a)
(/ (pow b 2) a)
(/.f64 (*.f64 b b) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)

eval113.0ms (1.1%)

Memory
11.3MiB live, 271.8MiB allocated
Compiler

Compiled 20 199 to 1 807 computations (91.1% saved)

prune110.0ms (1.1%)

Memory
-42.7MiB live, 291.8MiB allocated
Pruning

24 alts after pruning (20 fresh and 4 done)

PrunedKeptTotal
New1 005101 015
Fresh111021
Picked235
Done011
Total1 018241 042
Accuracy
99.9%
Counts
1 042 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
23.5%
(/.f64 (/.f64 (fma.f64 b b (fma.f64 b b (*.f64 #s(literal 4 binary64) (*.f64 a c)))) (*.f64 a #s(literal 2 binary64))) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
9.2%
(/.f64 (/.f64 (*.f64 c a) b) a)
▶41.9%
(/.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 #s(literal 1 binary64) b))
14.8%
(/.f64 (-.f64 (*.f64 (*.f64 b #s(literal 1/2 binary64)) a) (*.f64 a (*.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) #s(literal 1/2 binary64)))) (*.f64 a a))
✓41.9%
(/.f64 (-.f64 (*.f64 c (/.f64 a b)) b) a)
24.1%
(/.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal 2 binary64)))
22.5%
(/.f64 (*.f64 (fma.f64 b b (*.f64 #s(literal 4 binary64) (*.f64 c a))) #s(literal 1/2 binary64)) (*.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))) a))
▶9.2%
(/.f64 c b)
✓2.3%
(/.f64 b a)
24.0%
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 #s(literal 1/2 binary64) (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))))))
✓41.9%
(/.f64 #s(literal -1 binary64) (/.f64 a b))
42.0%
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 b a)))
41.8%
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) b) a))
▶42.0%
(-.f64 (/.f64 c b) (/.f64 b a))
30.4%
(-.f64 #s(literal 0 binary64) (/.f64 c b))
▶2.2%
(*.f64 (/.f64 (*.f64 (/.f64 b a) b) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) b))
3.0%
(*.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (/.f64 a b))
2.3%
(*.f64 (/.f64 #s(literal 1 binary64) a) b)
15.1%
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 b (*.f64 (sqrt.f64 (*.f64 c #s(literal -4 binary64))) (sqrt.f64 a))))
16.7%
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 b (*.f64 (sqrt.f64 (*.f64 a #s(literal -4 binary64))) (sqrt.f64 c))))
✓24.0%
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))))
41.9%
(*.f64 (/.f64 #s(literal -1 binary64) a) b)
2.0%
(*.f64 (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a)) (-.f64 #s(literal 0 binary64) b))
▶42.1%
(neg.f64 (/.f64 b a))
Compiler

Compiled 585 to 404 computations (30.9% saved)

simplify247.0ms (2.4%)

Memory
51.6MiB live, 397.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 #s(literal 1 binary64) b)
✓cost-diff0
(/.f64 b a)
✓cost-diff704
(/.f64 (*.f64 (/.f64 b a) b) #s(literal 1 binary64))
✓cost-diff1408
(*.f64 (/.f64 (*.f64 (/.f64 b a) b) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) b))
✓cost-diff0
(/.f64 #s(literal 1 binary64) b)
✓cost-diff0
(/.f64 #s(literal -1 binary64) a)
✓cost-diff1216
(/.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 #s(literal 1 binary64) b))
✓cost-diff0
(/.f64 b a)
✓cost-diff0
(/.f64 c b)
✓cost-diff0
(-.f64 (/.f64 c b) (/.f64 b a))
✓cost-diff0
(/.f64 c b)
✓cost-diff-64
(neg.f64 (/.f64 b a))
✓cost-diff0
(/.f64 b a)
Rules
4 182×*-lowering-*.f32
4 182×*-lowering-*.f64
3 326×accelerator-lowering-fma.f32
3 326×accelerator-lowering-fma.f64
2 414×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01566
13966
28666
315066
445466
5178766
6290366
7529166
0801366
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(neg (/ b a))
(/ b a)
b
a
(/ c b)
c
b
(- (/ c b) (/ b a))
(/ c b)
c
b
(/ b a)
a
(/ (/ -1 a) (/ 1 b))
(/ -1 a)
-1
a
(/ 1 b)
1
b
(* (/ (* (/ b a) b) 1) (/ 1 b))
(/ (* (/ b a) b) 1)
(* (/ b a) b)
(/ b a)
b
a
1
(/ 1 b)
Outputs
(neg (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(/ b a)
(/.f64 b a)
b
a
(/ c b)
(/.f64 c b)
c
b
(- (/ c b) (/ b a))
(-.f64 (/.f64 c b) (/.f64 b a))
(/ c b)
(/.f64 c b)
c
b
(/ b a)
(/.f64 b a)
a
(/ (/ -1 a) (/ 1 b))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(/ -1 a)
(/.f64 #s(literal -1 binary64) a)
-1
#s(literal -1 binary64)
a
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
1
#s(literal 1 binary64)
b
(* (/ (* (/ b a) b) 1) (/ 1 b))
(/.f64 b a)
(/ (* (/ b a) b) 1)
(fma.f64 b (/.f64 b a) #s(literal 0 binary64))
(* (/ b a) b)
(fma.f64 b (/.f64 b a) #s(literal 0 binary64))
(/ b a)
(/.f64 b a)
b
a
1
#s(literal 1 binary64)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)

localize53.0ms (0.5%)

Memory
-31.3MiB live, 87.1MiB allocated
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 b a)
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) b)
✓accuracy99.8%
(*.f64 (/.f64 b a) b)
✓accuracy76.6%
(*.f64 (/.f64 (*.f64 (/.f64 b a) b) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) b))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) b)
✓accuracy100.0%
(/.f64 #s(literal -1 binary64) a)
✓accuracy99.6%
(/.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 #s(literal 1 binary64) b))
✓accuracy100.0%
(/.f64 c b)
✓accuracy100.0%
(/.f64 b a)
✓accuracy100.0%
(-.f64 (/.f64 c b) (/.f64 b a))
✓accuracy100.0%
(/.f64 c b)
✓accuracy100.0%
(/.f64 b a)
✓accuracy100.0%
(neg.f64 (/.f64 b a))
Samples
29.0ms256×0valid
Compiler

Compiled 81 to 17 computations (79% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-div: 10.0ms (61.6% of total)
ival-mult: 3.0ms (18.5% of total)
ival-sub: 1.0ms (6.2% of total)
ival-neg: 1.0ms (6.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series5.0ms (0%)

Memory
11.9MiB live, 11.9MiB allocated
Counts
10 → 228
Calls
Call 1
Inputs
#<alt (/ b a)>
#<alt (neg (/ b a))>
#<alt (/ c b)>
#<alt (- (/ c b) (/ b a))>
#<alt (/ (/ -1 a) (/ 1 b))>
#<alt (/ -1 a)>
#<alt (/ 1 b)>
#<alt (* (/ (* (/ b a) b) 1) (/ 1 b))>
#<alt (/ (* (/ b a) b) 1)>
#<alt (* (/ b a) b)>
Outputs
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (* -1 (/ b a))>
#<alt (- (/ c b) (/ b a))>
#<alt (- (/ c b) (/ b a))>
#<alt (- (/ c b) (/ b a))>
#<alt (/ c b)>
#<alt (* c (+ (* -1 (/ b (* a c))) (/ 1 b)))>
#<alt (* c (+ (* -1 (/ b (* a c))) (/ 1 b)))>
#<alt (* c (+ (* -1 (/ b (* a c))) (/ 1 b)))>
#<alt (/ c b)>
#<alt (* -1 (* c (- (/ b (* a c)) (/ 1 b))))>
#<alt (* -1 (* c (- (/ b (* a c)) (/ 1 b))))>
#<alt (* -1 (* c (- (/ b (* a c)) (/ 1 b))))>
#<alt (/ c b)>
#<alt (/ (+ c (* -1 (/ (pow b 2) a))) b)>
#<alt (/ (+ c (* -1 (/ (pow b 2) a))) b)>
#<alt (/ (+ c (* -1 (/ (pow b 2) a))) b)>
#<alt (* -1 (/ b a))>
#<alt (* b (- (/ c (pow b 2)) (/ 1 a)))>
#<alt (* b (- (/ c (pow b 2)) (/ 1 a)))>
#<alt (* b (- (/ c (pow b 2)) (/ 1 a)))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))>
#<alt (* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))>
#<alt (* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))>
#<alt (* -1 (/ b a))>
#<alt (/ (- (/ (* a c) b) b) a)>
#<alt (/ (- (/ (* a c) b) b) a)>
#<alt (/ (- (/ (* a c) b) b) a)>
#<alt (/ c b)>
#<alt (+ (* -1 (/ b a)) (/ c b))>
#<alt (+ (* -1 (/ b a)) (/ c b))>
#<alt (+ (* -1 (/ b a)) (/ c b))>
#<alt (/ c b)>
#<alt (+ (* -1 (/ b a)) (/ c b))>
#<alt (+ (* -1 (/ b a)) (/ c b))>
#<alt (+ (* -1 (/ b a)) (/ c b))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (/ -1 a)>
#<alt (/ -1 a)>
#<alt (/ -1 a)>
#<alt (/ -1 a)>
#<alt (/ -1 a)>
#<alt (/ -1 a)>
#<alt (/ -1 a)>
#<alt (/ -1 a)>
#<alt (/ -1 a)>
#<alt (/ -1 a)>
#<alt (/ -1 a)>
#<alt (/ -1 a)>
#<alt (/ 1 b)>
#<alt (/ 1 b)>
#<alt (/ 1 b)>
#<alt (/ 1 b)>
#<alt (/ 1 b)>
#<alt (/ 1 b)>
#<alt (/ 1 b)>
#<alt (/ 1 b)>
#<alt (/ 1 b)>
#<alt (/ 1 b)>
#<alt (/ 1 b)>
#<alt (/ 1 b)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
Calls

57 calls:

TimeVariablePointExpression
0.0ms
a
@0
(/ -1 a)
0.0ms
c
@0
(- (/ c b) (/ b a))
0.0ms
b
@-inf
(/ c b)
0.0ms
c
@-inf
(/ c b)
0.0ms
c
@inf
(/ c b)

rewrite293.0ms (2.8%)

Memory
-1.3MiB live, 515.4MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 032×*-lowering-*.f32
4 032×*-lowering-*.f64
3 982×accelerator-lowering-fma.f32
3 982×accelerator-lowering-fma.f64
3 226×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01540
19140
276540
0905240
Stop Event
1×iter limit
1×node limit
Counts
10 → 597
Calls
Call 1
Inputs
(/ b a)
(neg (/ b a))
(/ c b)
(- (/ c b) (/ b a))
(/ (/ -1 a) (/ 1 b))
(/ -1 a)
(/ 1 b)
(* (/ (* (/ b a) b) 1) (/ 1 b))
(/ (* (/ b a) b) 1)
(* (/ b a) b)
Outputs
(+.f64 #s(literal 0 binary64) (/.f64 b a))
(exp.f64 (*.f64 (log.f64 (/.f64 a b)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 b a)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) b)) (-.f64 #s(literal 0 binary64) (/.f64 b a)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) b)) (-.f64 #s(literal 0 binary64) (/.f64 b a)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) a)) (-.f64 #s(literal 0 binary64) (/.f64 b a)))
(neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 b a)))
(/.f64 b a)
(/.f64 (/.f64 b a) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 b a)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 a b)))
(/.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 #s(literal -1 binary64) b))
(/.f64 #s(literal 1 binary64) (/.f64 a b))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b a) (*.f64 b b)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b (-.f64 #s(literal 0 binary64) a)) (-.f64 #s(literal 0 binary64) (*.f64 b b))))
(/.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 a (*.f64 b b)))
(/.f64 (/.f64 (*.f64 b b) a) b)
(/.f64 (*.f64 b b) (*.f64 b a))
(/.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 #s(literal 0 binary64) a))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 b b) a)) (-.f64 #s(literal 0 binary64) b))
(/.f64 (/.f64 #s(literal -1 binary64) b) (-.f64 #s(literal 0 binary64) (/.f64 a (*.f64 b b))))
(/.f64 (/.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a))) (+.f64 (/.f64 (*.f64 b b) (*.f64 a a)) #s(literal 0 binary64)))
(/.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (/.f64 b a))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (*.f64 b (-.f64 #s(literal 0 binary64) a)))
(/.f64 (/.f64 (*.f64 b (*.f64 b b)) (*.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 a a))) (neg.f64 (+.f64 (/.f64 (*.f64 b b) (*.f64 a a)) #s(literal 0 binary64))))
(/.f64 (/.f64 (*.f64 b b) (*.f64 a (-.f64 #s(literal 0 binary64) a))) (-.f64 #s(literal 0 binary64) (/.f64 b a)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 b #s(literal -1/2 binary64))) (pow.f64 b #s(literal -1/2 binary64)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) (*.f64 b b))) a)
(/.f64 (+.f64 #s(literal 0 binary64) (/.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a)))) (+.f64 #s(literal 0 binary64) (-.f64 (/.f64 (*.f64 b b) (*.f64 a a)) #s(literal 0 binary64))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) b) (-.f64 #s(literal 0 binary64) (*.f64 b b))) (-.f64 #s(literal 0 binary64) a))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (/.f64 #s(literal 1 binary64) b)) (-.f64 #s(literal 0 binary64) a))
(pow.f64 (/.f64 a b) #s(literal -1 binary64))
(*.f64 b (/.f64 #s(literal 1 binary64) a))
(*.f64 (/.f64 b a) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 b a)) #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 b a)) (/.f64 (-.f64 #s(literal 0 binary64) b) b))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 b a)) (/.f64 b (-.f64 #s(literal 0 binary64) b)))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 b a)))
(*.f64 (/.f64 #s(literal -1 binary64) a) (-.f64 #s(literal 0 binary64) b))
(*.f64 #s(literal 1 binary64) (/.f64 b a))
(*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (*.f64 b b) a))
(*.f64 (/.f64 (*.f64 b b) a) (/.f64 #s(literal 1 binary64) b))
(*.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) (*.f64 b a)))
(*.f64 (*.f64 b b) (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(*.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 #s(literal -1 binary64) a))
(*.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 (/.f64 b a) (-.f64 #s(literal 0 binary64) b)))
(*.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 b a)) b))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 b b) a)) (/.f64 #s(literal -1 binary64) b))
(*.f64 (/.f64 #s(literal -1 binary64) b) (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 b b) a)))
(*.f64 (/.f64 #s(literal 1 binary64) a) b)
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (/.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) b)))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 b (-.f64 #s(literal 0 binary64) a))))
(*.f64 (pow.f64 b #s(literal -1/2 binary64)) (*.f64 (pow.f64 b #s(literal -1/2 binary64)) (/.f64 (*.f64 b b) a)))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) b) b) (-.f64 #s(literal 0 binary64) (/.f64 b a)))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 b #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) a) (pow.f64 b #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 b #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b b))) (/.f64 (/.f64 #s(literal -1 binary64) b) a))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b b))) (/.f64 #s(literal 1 binary64) (*.f64 b a)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) (*.f64 b b))) (/.f64 #s(literal 1 binary64) a))
(*.f64 (/.f64 (pow.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 b #s(literal -1/2 binary64)) (/.f64 a (*.f64 b b))))
(*.f64 (/.f64 (pow.f64 b #s(literal -1/2 binary64)) (/.f64 a (*.f64 b b))) (/.f64 (pow.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (pow.f64 b #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 b b))) (/.f64 (pow.f64 b #s(literal -1/2 binary64)) a))
(*.f64 (/.f64 (pow.f64 b #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 a (*.f64 b b)))) (/.f64 (pow.f64 b #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 b a) (-.f64 #s(literal 0 binary64) b)) (-.f64 #s(literal 0 binary64) b))
(*.f64 (/.f64 b (-.f64 #s(literal 0 binary64) b)) (-.f64 #s(literal 0 binary64) (/.f64 b a)))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 b a)) b) (-.f64 #s(literal 0 binary64) b))
(*.f64 (pow.f64 (/.f64 a b) #s(literal -1/2 binary64)) (pow.f64 (/.f64 a b) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (/.f64 (*.f64 b b) a) (pow.f64 b #s(literal -1/2 binary64))) (pow.f64 b #s(literal -1/2 binary64)))
(+.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 b a)))
(exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 0 binary64) (/.f64 a b))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(-.f64 (/.f64 #s(literal 0 binary64) a) (/.f64 b a))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) b)) (/.f64 b a))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (/.f64 (*.f64 b b) (*.f64 a a)) #s(literal 0 binary64))) (/.f64 b a))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 b a)) (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 b (-.f64 #s(literal 0 binary64) a))
(/.f64 (/.f64 b a) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 b a)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 a b))
(/.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 a b)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 b b) (*.f64 a a)) #s(literal 0 binary64)) (/.f64 (*.f64 b (*.f64 b b)) (*.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 a a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b a) (/.f64 (*.f64 b b) (*.f64 a (-.f64 #s(literal 0 binary64) a)))))
(/.f64 (/.f64 #s(literal 1 binary64) b) (-.f64 #s(literal 0 binary64) (/.f64 a (*.f64 b b))))
(/.f64 (/.f64 (*.f64 b b) a) (-.f64 #s(literal 0 binary64) b))
(/.f64 (*.f64 b b) (*.f64 b (-.f64 #s(literal 0 binary64) a)))
(/.f64 (-.f64 #s(literal 0 binary64) b) a)
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 b b) a)) b)
(/.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 a (*.f64 b b)))
(/.f64 (/.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a))) (neg.f64 (+.f64 (/.f64 (*.f64 b b) (*.f64 a a)) #s(literal 0 binary64))))
(/.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (-.f64 #s(literal 0 binary64) (/.f64 b a)))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (*.f64 b a))
(/.f64 (/.f64 (*.f64 b (*.f64 b b)) (*.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 a a))) (+.f64 (/.f64 (*.f64 b b) (*.f64 a a)) #s(literal 0 binary64)))
(/.f64 (/.f64 (*.f64 b (*.f64 b b)) (*.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 a a))) (+.f64 #s(literal 0 binary64) (-.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 b a))))))
(/.f64 (/.f64 (*.f64 b b) (*.f64 a (-.f64 #s(literal 0 binary64) a))) (/.f64 b a))
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) a) (pow.f64 b #s(literal -1/2 binary64))) (pow.f64 b #s(literal -1/2 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) b) (-.f64 #s(literal 0 binary64) (*.f64 b b))) a)
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (/.f64 #s(literal 1 binary64) b)) a)
(pow.f64 (-.f64 #s(literal 0 binary64) (/.f64 a b)) #s(literal -1 binary64))
(*.f64 b (/.f64 #s(literal -1 binary64) a))
(*.f64 b (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 b a)) (/.f64 #s(literal 1 binary64) b)))
(*.f64 (/.f64 b a) #s(literal -1 binary64))
(*.f64 (/.f64 b a) (*.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 #s(literal 1 binary64) b)))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 b a)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 b a))
(*.f64 (/.f64 #s(literal -1 binary64) a) b)
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 b a)))
(*.f64 (/.f64 #s(literal 1 binary64) b) (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 b b) a)))
(*.f64 (/.f64 (*.f64 b b) a) (/.f64 #s(literal -1 binary64) b))
(*.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 #s(literal 1 binary64) a))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 b b) a)) (/.f64 #s(literal 1 binary64) b))
(*.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (*.f64 b b) a))
(*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) b))
(*.f64 (/.f64 (*.f64 b (*.f64 b b)) (*.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 a a))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 b b) (*.f64 a a)) #s(literal 0 binary64))))
(*.f64 (/.f64 (*.f64 b b) (*.f64 a (-.f64 #s(literal 0 binary64) a))) (/.f64 a b))
(*.f64 (pow.f64 b #s(literal -1/2 binary64)) (*.f64 (pow.f64 b #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 b b) a))))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 b #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 b #s(literal -1/2 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) a) (pow.f64 b #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) a) (pow.f64 b #s(literal -1/2 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 b #s(literal -1/2 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 b #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (/.f64 a b)) #s(literal -1/2 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (/.f64 a b)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) b) (-.f64 #s(literal 0 binary64) (/.f64 b a))) b)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) b) (-.f64 #s(literal 0 binary64) b)) (/.f64 b a))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 b b) a)) (pow.f64 b #s(literal -1/2 binary64))) (pow.f64 b #s(literal -1/2 binary64)))
(+.f64 (/.f64 c b) #s(literal 0 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 b c)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 c (-.f64 #s(literal 0 binary64) b)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) b)) (/.f64 c (-.f64 #s(literal 0 binary64) b)))
(fma.f64 c (/.f64 #s(literal 1 binary64) b) #s(literal 0 binary64))
(fma.f64 (/.f64 c b) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 c (-.f64 #s(literal 0 binary64) b)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 c b) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) b) c #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) b) (pow.f64 (/.f64 #s(literal 1 binary64) c) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) c) (/.f64 #s(literal -1 binary64) b) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) b) (-.f64 #s(literal 0 binary64) c) #s(literal 0 binary64))
(fma.f64 (pow.f64 b #s(literal -1/2 binary64)) (*.f64 (pow.f64 b #s(literal -1/2 binary64)) c) #s(literal 0 binary64))
(fma.f64 (/.f64 c (-.f64 #s(literal 0 binary64) b)) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 c #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) b) #s(literal 0 binary64))
(fma.f64 (/.f64 c #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) b) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 b c) #s(literal -1/2 binary64)) (pow.f64 (/.f64 b c) #s(literal -1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 (-.f64 #s(literal 0 binary64) c) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) b) #s(literal 0 binary64))
(fma.f64 (*.f64 c (pow.f64 b #s(literal -1/2 binary64))) (pow.f64 b #s(literal -1/2 binary64)) #s(literal 0 binary64))
(neg.f64 (/.f64 c (-.f64 #s(literal 0 binary64) b)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 b c)))
(neg.f64 (/.f64 (*.f64 c #s(literal -1 binary64)) b))
(/.f64 c b)
(/.f64 (/.f64 c b) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 b c)))
(/.f64 #s(literal 1 binary64) (/.f64 b c))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) b) (*.f64 c #s(literal -1 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) c))
(/.f64 (-.f64 #s(literal 0 binary64) c) (-.f64 #s(literal 0 binary64) b))
(/.f64 (*.f64 c #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) b))
(/.f64 (*.f64 (*.f64 c #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) b))
(/.f64 (neg.f64 (*.f64 c #s(literal -1 binary64))) b)
(/.f64 (/.f64 c #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) b))
(/.f64 (+.f64 (/.f64 (*.f64 c (*.f64 c c)) (*.f64 b (*.f64 b b))) #s(literal 0 binary64)) (+.f64 (/.f64 (*.f64 c c) (*.f64 b b)) (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 c b) #s(literal 0 binary64)))))
(/.f64 (-.f64 (/.f64 (*.f64 c c) (*.f64 b b)) #s(literal 0 binary64)) (-.f64 (/.f64 c b) #s(literal 0 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) c) #s(literal -1 binary64)) b)
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 c #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) b))
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(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 b a)) (/.f64 b (-.f64 #s(literal 0 binary64) b)))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 b a)))
(*.f64 (/.f64 #s(literal -1 binary64) a) (-.f64 #s(literal 0 binary64) b))
(*.f64 #s(literal 1 binary64) (/.f64 b a))
(*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (*.f64 b b) a))
(*.f64 (/.f64 (*.f64 b b) a) (/.f64 #s(literal 1 binary64) b))
(*.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) (*.f64 b a)))
(*.f64 (*.f64 b b) (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(*.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 #s(literal -1 binary64) a))
(*.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 (/.f64 b a) (-.f64 #s(literal 0 binary64) b)))
(*.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 b a)) b))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 b b) a)) (/.f64 #s(literal -1 binary64) b))
(*.f64 (/.f64 #s(literal -1 binary64) b) (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 b b) a)))
(*.f64 (/.f64 #s(literal 1 binary64) a) b)
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (/.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) b)))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 b (-.f64 #s(literal 0 binary64) a))))
(*.f64 (pow.f64 b #s(literal -1/2 binary64)) (*.f64 (pow.f64 b #s(literal -1/2 binary64)) (/.f64 (*.f64 b b) a)))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) b) b) (-.f64 #s(literal 0 binary64) (/.f64 b a)))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 b #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) a) (pow.f64 b #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 b #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b b))) (/.f64 (/.f64 #s(literal -1 binary64) b) a))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b b))) (/.f64 #s(literal 1 binary64) (*.f64 b a)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) (*.f64 b b))) (/.f64 #s(literal 1 binary64) a))
(*.f64 (/.f64 (pow.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 b #s(literal -1/2 binary64)) (/.f64 a (*.f64 b b))))
(*.f64 (/.f64 (pow.f64 b #s(literal -1/2 binary64)) (/.f64 a (*.f64 b b))) (/.f64 (pow.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (pow.f64 b #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 b b))) (/.f64 (pow.f64 b #s(literal -1/2 binary64)) a))
(*.f64 (/.f64 (pow.f64 b #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 a (*.f64 b b)))) (/.f64 (pow.f64 b #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 b a) (-.f64 #s(literal 0 binary64) b)) (-.f64 #s(literal 0 binary64) b))
(*.f64 (/.f64 b (-.f64 #s(literal 0 binary64) b)) (-.f64 #s(literal 0 binary64) (/.f64 b a)))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 b a)) b) (-.f64 #s(literal 0 binary64) b))
(*.f64 (pow.f64 (/.f64 a b) #s(literal -1/2 binary64)) (pow.f64 (/.f64 a b) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (/.f64 (*.f64 b b) a) (pow.f64 b #s(literal -1/2 binary64))) (pow.f64 b #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 a (*.f64 b b))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 b b) a)))
(neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 b b) a)))
(/.f64 b (/.f64 a b))
(/.f64 (/.f64 b a) (/.f64 #s(literal 1 binary64) b))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 b a)) (/.f64 #s(literal -1 binary64) b))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 a (*.f64 b b))))
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b b)))
(/.f64 (/.f64 (*.f64 b b) a) #s(literal 1 binary64))
(/.f64 (*.f64 b b) a)
(/.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 #s(literal 0 binary64) (/.f64 a b)))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 b b) a)) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (-.f64 #s(literal 0 binary64) a))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b b))) a)
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) #s(literal -1 binary64)) a)
(pow.f64 (/.f64 (*.f64 b b) a) #s(literal 1 binary64))
(pow.f64 (/.f64 a (*.f64 b b)) #s(literal -1 binary64))
(*.f64 b (/.f64 b a))
(*.f64 (/.f64 b a) b)
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 b a)) (-.f64 #s(literal 0 binary64) b))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 b b) a)))
(*.f64 (/.f64 #s(literal -1 binary64) a) (-.f64 #s(literal 0 binary64) (*.f64 b b)))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) a))
(*.f64 (/.f64 (*.f64 b b) a) #s(literal 1 binary64))
(*.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) a))
(*.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 #s(literal 0 binary64) (/.f64 b a)))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 b b) a)) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b b))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (/.f64 #s(literal -1 binary64) a))
(*.f64 (pow.f64 (/.f64 a (*.f64 b b)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 a (*.f64 b b)) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 a (*.f64 b b))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 b b) a)))
(neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 b b) a)))
(/.f64 b (/.f64 a b))
(/.f64 (/.f64 b a) (/.f64 #s(literal 1 binary64) b))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 b a)) (/.f64 #s(literal -1 binary64) b))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 a (*.f64 b b))))
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b b)))
(/.f64 (/.f64 (*.f64 b b) a) #s(literal 1 binary64))
(/.f64 (*.f64 b b) a)
(/.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 #s(literal 0 binary64) (/.f64 a b)))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 b b) a)) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (-.f64 #s(literal 0 binary64) a))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b b))) a)
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) #s(literal -1 binary64)) a)
(pow.f64 (/.f64 (*.f64 b b) a) #s(literal 1 binary64))
(pow.f64 (/.f64 a (*.f64 b b)) #s(literal -1 binary64))
(*.f64 b (/.f64 b a))
(*.f64 (/.f64 b a) b)
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 b a)) (-.f64 #s(literal 0 binary64) b))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 b b) a)))
(*.f64 (/.f64 #s(literal -1 binary64) a) (-.f64 #s(literal 0 binary64) (*.f64 b b)))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) a))
(*.f64 (/.f64 (*.f64 b b) a) #s(literal 1 binary64))
(*.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) a))
(*.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 #s(literal 0 binary64) (/.f64 b a)))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 b b) a)) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b b))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (/.f64 #s(literal -1 binary64) a))
(*.f64 (pow.f64 (/.f64 a (*.f64 b b)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 a (*.f64 b b)) #s(literal -1/2 binary64)))

simplify211.0ms (2%)

Memory
22.8MiB live, 402.7MiB allocated
Algorithm
1×egg-herbie
Rules
3 032×*-lowering-*.f32
3 032×*-lowering-*.f64
2 906×accelerator-lowering-fma.f32
2 906×accelerator-lowering-fma.f64
1 562×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037940
193940
2254940
3620940
41705940
53793940
66574940
77794940
08126940
Stop Event
1×iter limit
1×node limit
Counts
228 → 228
Calls
Call 1
Inputs
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(* -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))))
(/ 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))
(/ (- (/ (* 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))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(/ -1 a)
(/ -1 a)
(/ -1 a)
(/ -1 a)
(/ -1 a)
(/ -1 a)
(/ -1 a)
(/ -1 a)
(/ -1 a)
(/ -1 a)
(/ -1 a)
(/ -1 a)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
Outputs
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(- (/ c b) (/ b a))
(-.f64 (/.f64 c b) (/.f64 b a))
(- (/ c b) (/ b a))
(-.f64 (/.f64 c b) (/.f64 b a))
(- (/ c b) (/ b a))
(-.f64 (/.f64 c b) (/.f64 b a))
(/ c b)
(/.f64 c b)
(* c (+ (* -1 (/ b (* a c))) (/ 1 b)))
(-.f64 (/.f64 c b) (/.f64 b a))
(* c (+ (* -1 (/ b (* a c))) (/ 1 b)))
(-.f64 (/.f64 c b) (/.f64 b a))
(* c (+ (* -1 (/ b (* a c))) (/ 1 b)))
(-.f64 (/.f64 c b) (/.f64 b a))
(/ c b)
(/.f64 c b)
(* -1 (* c (- (/ b (* a c)) (/ 1 b))))
(-.f64 (/.f64 c b) (/.f64 b a))
(* -1 (* c (- (/ b (* a c)) (/ 1 b))))
(-.f64 (/.f64 c b) (/.f64 b a))
(* -1 (* c (- (/ b (* a c)) (/ 1 b))))
(-.f64 (/.f64 c b) (/.f64 b a))
(/ c b)
(/.f64 c b)
(/ (+ c (* -1 (/ (pow b 2) a))) b)
(-.f64 (/.f64 c b) (/.f64 b a))
(/ (+ c (* -1 (/ (pow b 2) a))) b)
(-.f64 (/.f64 c b) (/.f64 b a))
(/ (+ c (* -1 (/ (pow b 2) a))) b)
(-.f64 (/.f64 c b) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(-.f64 (/.f64 c b) (/.f64 b a))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(-.f64 (/.f64 c b) (/.f64 b a))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(-.f64 (/.f64 c b) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(-.f64 (/.f64 c b) (/.f64 b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(-.f64 (/.f64 c b) (/.f64 b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(-.f64 (/.f64 c b) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(/ (- (/ (* a c) b) b) a)
(-.f64 (/.f64 c b) (/.f64 b a))
(/ (- (/ (* a c) b) b) a)
(-.f64 (/.f64 c b) (/.f64 b a))
(/ (- (/ (* a c) b) b) a)
(-.f64 (/.f64 c b) (/.f64 b a))
(/ c b)
(/.f64 c b)
(+ (* -1 (/ b a)) (/ c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+ (* -1 (/ b a)) (/ c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+ (* -1 (/ b a)) (/ c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(/ c b)
(/.f64 c b)
(+ (* -1 (/ b a)) (/ c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+ (* -1 (/ b a)) (/ c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+ (* -1 (/ b a)) (/ c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(/ -1 a)
(/.f64 #s(literal -1 binary64) a)
(/ -1 a)
(/.f64 #s(literal -1 binary64) a)
(/ -1 a)
(/.f64 #s(literal -1 binary64) a)
(/ -1 a)
(/.f64 #s(literal -1 binary64) a)
(/ -1 a)
(/.f64 #s(literal -1 binary64) a)
(/ -1 a)
(/.f64 #s(literal -1 binary64) a)
(/ -1 a)
(/.f64 #s(literal -1 binary64) a)
(/ -1 a)
(/.f64 #s(literal -1 binary64) a)
(/ -1 a)
(/.f64 #s(literal -1 binary64) a)
(/ -1 a)
(/.f64 #s(literal -1 binary64) a)
(/ -1 a)
(/.f64 #s(literal -1 binary64) a)
(/ -1 a)
(/.f64 #s(literal -1 binary64) a)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ (pow b 2) a)
(fma.f64 b (/.f64 b a) #s(literal 0 binary64))
(/ (pow b 2) a)
(fma.f64 b (/.f64 b a) #s(literal 0 binary64))
(/ (pow b 2) a)
(fma.f64 b (/.f64 b a) #s(literal 0 binary64))
(/ (pow b 2) a)
(fma.f64 b (/.f64 b a) #s(literal 0 binary64))
(/ (pow b 2) a)
(fma.f64 b (/.f64 b a) #s(literal 0 binary64))
(/ (pow b 2) a)
(fma.f64 b (/.f64 b a) #s(literal 0 binary64))
(/ (pow b 2) a)
(fma.f64 b (/.f64 b a) #s(literal 0 binary64))
(/ (pow b 2) a)
(fma.f64 b (/.f64 b a) #s(literal 0 binary64))
(/ (pow b 2) a)
(fma.f64 b (/.f64 b a) #s(literal 0 binary64))
(/ (pow b 2) a)
(fma.f64 b (/.f64 b a) #s(literal 0 binary64))
(/ (pow b 2) a)
(fma.f64 b (/.f64 b a) #s(literal 0 binary64))
(/ (pow b 2) a)
(fma.f64 b (/.f64 b a) #s(literal 0 binary64))
(/ (pow b 2) a)
(fma.f64 b (/.f64 b a) #s(literal 0 binary64))
(/ (pow b 2) a)
(fma.f64 b (/.f64 b a) #s(literal 0 binary64))
(/ (pow b 2) a)
(fma.f64 b (/.f64 b a) #s(literal 0 binary64))
(/ (pow b 2) a)
(fma.f64 b (/.f64 b a) #s(literal 0 binary64))
(/ (pow b 2) a)
(fma.f64 b (/.f64 b a) #s(literal 0 binary64))
(/ (pow b 2) a)
(fma.f64 b (/.f64 b a) #s(literal 0 binary64))
(/ (pow b 2) a)
(fma.f64 b (/.f64 b a) #s(literal 0 binary64))
(/ (pow b 2) a)
(fma.f64 b (/.f64 b a) #s(literal 0 binary64))
(/ (pow b 2) a)
(fma.f64 b (/.f64 b a) #s(literal 0 binary64))
(/ (pow b 2) a)
(fma.f64 b (/.f64 b a) #s(literal 0 binary64))
(/ (pow b 2) a)
(fma.f64 b (/.f64 b a) #s(literal 0 binary64))
(/ (pow b 2) a)
(fma.f64 b (/.f64 b a) #s(literal 0 binary64))
(/ (pow b 2) a)
(fma.f64 b (/.f64 b a) #s(literal 0 binary64))
(/ (pow b 2) a)
(fma.f64 b (/.f64 b a) #s(literal 0 binary64))
(/ (pow b 2) a)
(fma.f64 b (/.f64 b a) #s(literal 0 binary64))
(/ (pow b 2) a)
(fma.f64 b (/.f64 b a) #s(literal 0 binary64))
(/ (pow b 2) a)
(fma.f64 b (/.f64 b a) #s(literal 0 binary64))
(/ (pow b 2) a)
(fma.f64 b (/.f64 b a) #s(literal 0 binary64))
(/ (pow b 2) a)
(fma.f64 b (/.f64 b a) #s(literal 0 binary64))
(/ (pow b 2) a)
(fma.f64 b (/.f64 b a) #s(literal 0 binary64))
(/ (pow b 2) a)
(fma.f64 b (/.f64 b a) #s(literal 0 binary64))
(/ (pow b 2) a)
(fma.f64 b (/.f64 b a) #s(literal 0 binary64))
(/ (pow b 2) a)
(fma.f64 b (/.f64 b a) #s(literal 0 binary64))
(/ (pow b 2) a)
(fma.f64 b (/.f64 b a) #s(literal 0 binary64))
(/ (pow b 2) a)
(fma.f64 b (/.f64 b a) #s(literal 0 binary64))
(/ (pow b 2) a)
(fma.f64 b (/.f64 b a) #s(literal 0 binary64))
(/ (pow b 2) a)
(fma.f64 b (/.f64 b a) #s(literal 0 binary64))
(/ (pow b 2) a)
(fma.f64 b (/.f64 b a) #s(literal 0 binary64))
(/ (pow b 2) a)
(fma.f64 b (/.f64 b a) #s(literal 0 binary64))
(/ (pow b 2) a)
(fma.f64 b (/.f64 b a) #s(literal 0 binary64))
(/ (pow b 2) a)
(fma.f64 b (/.f64 b a) #s(literal 0 binary64))
(/ (pow b 2) a)
(fma.f64 b (/.f64 b a) #s(literal 0 binary64))
(/ (pow b 2) a)
(fma.f64 b (/.f64 b a) #s(literal 0 binary64))
(/ (pow b 2) a)
(fma.f64 b (/.f64 b a) #s(literal 0 binary64))
(/ (pow b 2) a)
(fma.f64 b (/.f64 b a) #s(literal 0 binary64))
(/ (pow b 2) a)
(fma.f64 b (/.f64 b a) #s(literal 0 binary64))

eval409.0ms (3.9%)

Memory
-49.2MiB live, 375.2MiB allocated
Compiler

Compiled 15 160 to 1 386 computations (90.9% saved)

prune254.0ms (2.4%)

Memory
-1.8MiB live, 421.1MiB allocated
Pruning

29 alts after pruning (22 fresh and 7 done)

PrunedKeptTotal
New1 11281 120
Fresh11415
Picked235
Done044
Total1 115291 144
Accuracy
99.9%
Counts
1 144 → 29
Alt Table
Click to see full alt table
StatusAccuracyProgram
41.9%
(fma.f64 (/.f64 #s(literal -1 binary64) a) b (/.f64 c b))
23.5%
(/.f64 (/.f64 (fma.f64 b b (fma.f64 b b (*.f64 #s(literal 4 binary64) (*.f64 a c)))) (*.f64 a #s(literal 2 binary64))) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
9.2%
(/.f64 (/.f64 (*.f64 c a) b) a)
14.8%
(/.f64 (-.f64 (*.f64 (*.f64 b #s(literal 1/2 binary64)) a) (*.f64 a (*.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) #s(literal 1/2 binary64)))) (*.f64 a a))
✓41.9%
(/.f64 (-.f64 (*.f64 c (/.f64 a b)) b) a)
24.1%
(/.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal 2 binary64)))
22.5%
(/.f64 (*.f64 (fma.f64 b b (*.f64 #s(literal 4 binary64) (*.f64 c a))) #s(literal 1/2 binary64)) (*.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))) a))
✓9.2%
(/.f64 c b)
✓2.3%
(/.f64 b a)
9.2%
(/.f64 #s(literal 1 binary64) (/.f64 b c))
24.0%
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 #s(literal 1/2 binary64) (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))))))
✓41.9%
(/.f64 #s(literal -1 binary64) (/.f64 a b))
42.0%
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 b a)))
41.8%
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) b) a))
✓42.0%
(-.f64 (/.f64 c b) (/.f64 b a))
30.4%
(-.f64 #s(literal 0 binary64) (/.f64 c b))
26.3%
(*.f64 (/.f64 (*.f64 b b) a) (/.f64 #s(literal -1 binary64) b))
2.3%
(*.f64 (/.f64 #s(literal 1 binary64) a) b)
15.1%
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 b (*.f64 (sqrt.f64 (*.f64 c #s(literal -4 binary64))) (sqrt.f64 a))))
16.7%
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 b (*.f64 (sqrt.f64 (*.f64 a #s(literal -4 binary64))) (sqrt.f64 c))))
✓24.0%
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))))
41.9%
(*.f64 (/.f64 #s(literal -1 binary64) a) b)
2.0%
(*.f64 (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a)) (-.f64 #s(literal 0 binary64) b))
2.2%
(*.f64 (*.f64 (/.f64 b a) b) (/.f64 #s(literal 1 binary64) b))
3.4%
(*.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) (*.f64 b a)))
26.3%
(neg.f64 (/.f64 (/.f64 (*.f64 b b) a) b))
27.1%
(neg.f64 (/.f64 (*.f64 b b) (*.f64 b a)))
✓42.1%
(neg.f64 (/.f64 b a))
27.1%
(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b a) (*.f64 b b))))
Compiler

Compiled 975 to 425 computations (56.4% saved)

regimes78.0ms (0.7%)

Memory
21.0MiB live, 138.7MiB allocated
Counts
51 → 3
Calls
Call 1
Inputs
(/.f64 b a)
(/.f64 c b)
(neg.f64 (/.f64 b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(*.f64 (/.f64 #s(literal -1 binary64) a) b)
(*.f64 (/.f64 #s(literal 1 binary64) a) b)
(*.f64 b (neg.f64 (/.f64 #s(literal 1 binary64) a)))
(/.f64 #s(literal -1 binary64) (/.f64 a b))
(/.f64 #s(literal 1 binary64) (/.f64 b c))
(neg.f64 (/.f64 (*.f64 b b) (*.f64 b a)))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) (*.f64 b a)))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) b) a))
(/.f64 (/.f64 (*.f64 c a) b) a)
(fma.f64 (/.f64 #s(literal -1 binary64) a) b (/.f64 c b))
(neg.f64 (/.f64 (/.f64 (*.f64 b b) a) b))
(/.f64 (-.f64 (*.f64 c (/.f64 a b)) b) a)
(*.f64 (*.f64 (/.f64 b a) b) (/.f64 #s(literal 1 binary64) b))
(*.f64 (/.f64 (*.f64 b b) a) (/.f64 #s(literal -1 binary64) b))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 b a)))
(/.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b a) (*.f64 b b))))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(*.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (/.f64 a b))
(/.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b) (*.f64 #s(literal 2 binary64) a))
(*.f64 (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a)) (-.f64 #s(literal 0 binary64) b))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))))
(/.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a #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))
(*.f64 (/.f64 (*.f64 (/.f64 b a) b) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) b))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 b (*.f64 (sqrt.f64 (*.f64 a #s(literal -4 binary64))) (sqrt.f64 c))))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 b (*.f64 (sqrt.f64 (*.f64 c #s(literal -4 binary64))) (sqrt.f64 a))))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 #s(literal 1/2 binary64) (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))))))
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) a))
(/.f64 (-.f64 (*.f64 (*.f64 b #s(literal 1/2 binary64)) a) (*.f64 a (*.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) #s(literal 1/2 binary64)))) (*.f64 a a))
(/.f64 (*.f64 (fma.f64 b b (*.f64 #s(literal 4 binary64) (*.f64 c a))) #s(literal 1/2 binary64)) (*.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))) a))
(/.f64 (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (*.f64 c a)))))) (*.f64 #s(literal 2 binary64) a))
(*.f64 (/.f64 (*.f64 (/.f64 b a) b) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 b a)))
(/.f64 (-.f64 (*.f64 (*.f64 b #s(literal 1/2 binary64)) a) (*.f64 a (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) #s(literal 1/2 binary64)))) (*.f64 a a))
(/.f64 (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (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 (fma.f64 b b (fma.f64 b b (*.f64 #s(literal 4 binary64) (*.f64 a c)))) (/.f64 #s(literal 1 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 (fma.f64 b b (fma.f64 b b (*.f64 #s(literal 4 binary64) (*.f64 a c)))) (*.f64 a #s(literal 2 binary64))) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
(-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 a b)) #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 c (exp.f64 (*.f64 (log.f64 (/.f64 b a)) #s(literal -1 binary64)))) b) a)
(exp.f64 (*.f64 (log.f64 (/.f64 a (-.f64 (fma.f64 c (/.f64 a b) #s(literal 0 binary64)) b))) #s(literal -1 binary64)))
Outputs
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a))
(-.f64 (/.f64 c b) (/.f64 b a))
Calls

4 calls:

27.0ms
c
18.0ms
a
16.0ms
b
14.0ms
(/.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
56.5%2a
87.4%3b
54.8%1c
78.8%5(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a))
Compiler

Compiled 32 to 23 computations (28.1% saved)

regimes14.0ms (0.1%)

Memory
-3.6MiB live, 33.4MiB allocated
Counts
34 → 3
Calls
Call 1
Inputs
(/.f64 b a)
(/.f64 c b)
(neg.f64 (/.f64 b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(*.f64 (/.f64 #s(literal -1 binary64) a) b)
(*.f64 (/.f64 #s(literal 1 binary64) a) b)
(*.f64 b (neg.f64 (/.f64 #s(literal 1 binary64) a)))
(/.f64 #s(literal -1 binary64) (/.f64 a b))
(/.f64 #s(literal 1 binary64) (/.f64 b c))
(neg.f64 (/.f64 (*.f64 b b) (*.f64 b a)))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) (*.f64 b a)))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) b) a))
(/.f64 (/.f64 (*.f64 c a) b) a)
(fma.f64 (/.f64 #s(literal -1 binary64) a) b (/.f64 c b))
(neg.f64 (/.f64 (/.f64 (*.f64 b b) a) b))
(/.f64 (-.f64 (*.f64 c (/.f64 a b)) b) a)
(*.f64 (*.f64 (/.f64 b a) b) (/.f64 #s(literal 1 binary64) b))
(*.f64 (/.f64 (*.f64 b b) a) (/.f64 #s(literal -1 binary64) b))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 b a)))
(/.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b a) (*.f64 b b))))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(*.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (/.f64 a b))
(/.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b) (*.f64 #s(literal 2 binary64) a))
(*.f64 (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a)) (-.f64 #s(literal 0 binary64) b))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))))
(/.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a #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))
(*.f64 (/.f64 (*.f64 (/.f64 b a) b) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) b))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 b (*.f64 (sqrt.f64 (*.f64 a #s(literal -4 binary64))) (sqrt.f64 c))))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 b (*.f64 (sqrt.f64 (*.f64 c #s(literal -4 binary64))) (sqrt.f64 a))))
Outputs
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))
(-.f64 (/.f64 c b) (/.f64 b a))
Calls

1 calls:

12.0ms
b
Results
AccuracySegmentsBranch
83.4%3b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes12.0ms (0.1%)

Memory
-7.8MiB live, 31.0MiB allocated
Counts
29 → 3
Calls
Call 1
Inputs
(/.f64 b a)
(/.f64 c b)
(neg.f64 (/.f64 b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(*.f64 (/.f64 #s(literal -1 binary64) a) b)
(*.f64 (/.f64 #s(literal 1 binary64) a) b)
(*.f64 b (neg.f64 (/.f64 #s(literal 1 binary64) a)))
(/.f64 #s(literal -1 binary64) (/.f64 a b))
(/.f64 #s(literal 1 binary64) (/.f64 b c))
(neg.f64 (/.f64 (*.f64 b b) (*.f64 b a)))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) (*.f64 b a)))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) b) a))
(/.f64 (/.f64 (*.f64 c a) b) a)
(fma.f64 (/.f64 #s(literal -1 binary64) a) b (/.f64 c b))
(neg.f64 (/.f64 (/.f64 (*.f64 b b) a) b))
(/.f64 (-.f64 (*.f64 c (/.f64 a b)) b) a)
(*.f64 (*.f64 (/.f64 b a) b) (/.f64 #s(literal 1 binary64) b))
(*.f64 (/.f64 (*.f64 b b) a) (/.f64 #s(literal -1 binary64) b))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 b a)))
(/.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b a) (*.f64 b b))))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(*.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (/.f64 a b))
(/.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b) (*.f64 #s(literal 2 binary64) a))
(*.f64 (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a)) (-.f64 #s(literal 0 binary64) b))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))))
(/.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal 2 binary64)))
Outputs
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(/.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal 2 binary64)))
(-.f64 (/.f64 c b) (/.f64 b a))
Calls

1 calls:

10.0ms
b
Results
AccuracySegmentsBranch
83.0%3b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes11.0ms (0.1%)

Memory
-8.7MiB live, 29.3MiB allocated
Counts
28 → 3
Calls
Call 1
Inputs
(/.f64 b a)
(/.f64 c b)
(neg.f64 (/.f64 b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(*.f64 (/.f64 #s(literal -1 binary64) a) b)
(*.f64 (/.f64 #s(literal 1 binary64) a) b)
(*.f64 b (neg.f64 (/.f64 #s(literal 1 binary64) a)))
(/.f64 #s(literal -1 binary64) (/.f64 a b))
(/.f64 #s(literal 1 binary64) (/.f64 b c))
(neg.f64 (/.f64 (*.f64 b b) (*.f64 b a)))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) (*.f64 b a)))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) b) a))
(/.f64 (/.f64 (*.f64 c a) b) a)
(fma.f64 (/.f64 #s(literal -1 binary64) a) b (/.f64 c b))
(neg.f64 (/.f64 (/.f64 (*.f64 b b) a) b))
(/.f64 (-.f64 (*.f64 c (/.f64 a b)) b) a)
(*.f64 (*.f64 (/.f64 b a) b) (/.f64 #s(literal 1 binary64) b))
(*.f64 (/.f64 (*.f64 b b) a) (/.f64 #s(literal -1 binary64) b))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 b a)))
(/.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b a) (*.f64 b b))))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(*.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (/.f64 a b))
(/.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b) (*.f64 #s(literal 2 binary64) a))
(*.f64 (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a)) (-.f64 #s(literal 0 binary64) b))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))))
Outputs
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(*.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))
Calls

1 calls:

8.0ms
b
Results
AccuracySegmentsBranch
82.9%3b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes36.0ms (0.3%)

Memory
-4.6MiB live, 55.9MiB allocated
Counts
27 → 2
Calls
Call 1
Inputs
(/.f64 b a)
(/.f64 c b)
(neg.f64 (/.f64 b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(*.f64 (/.f64 #s(literal -1 binary64) a) b)
(*.f64 (/.f64 #s(literal 1 binary64) a) b)
(*.f64 b (neg.f64 (/.f64 #s(literal 1 binary64) a)))
(/.f64 #s(literal -1 binary64) (/.f64 a b))
(/.f64 #s(literal 1 binary64) (/.f64 b c))
(neg.f64 (/.f64 (*.f64 b b) (*.f64 b a)))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) (*.f64 b a)))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) b) a))
(/.f64 (/.f64 (*.f64 c a) b) a)
(fma.f64 (/.f64 #s(literal -1 binary64) a) b (/.f64 c b))
(neg.f64 (/.f64 (/.f64 (*.f64 b b) a) b))
(/.f64 (-.f64 (*.f64 c (/.f64 a b)) b) a)
(*.f64 (*.f64 (/.f64 b a) b) (/.f64 #s(literal 1 binary64) b))
(*.f64 (/.f64 (*.f64 b b) a) (/.f64 #s(literal -1 binary64) b))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 b a)))
(/.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b a) (*.f64 b b))))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(*.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (/.f64 a b))
(/.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b) (*.f64 #s(literal 2 binary64) a))
(*.f64 (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a)) (-.f64 #s(literal 0 binary64) b))
Outputs
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
Calls

2 calls:

27.0ms
(/.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))
8.0ms
b
Results
AccuracySegmentsBranch
57.9%3(/.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))
70.2%2b
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes5.0ms (0%)

Memory
15.3MiB live, 15.3MiB allocated
Counts
11 → 2
Calls
Call 1
Inputs
(/.f64 b a)
(/.f64 c b)
(neg.f64 (/.f64 b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(*.f64 (/.f64 #s(literal -1 binary64) a) b)
(*.f64 (/.f64 #s(literal 1 binary64) a) b)
(*.f64 b (neg.f64 (/.f64 #s(literal 1 binary64) a)))
(/.f64 #s(literal -1 binary64) (/.f64 a b))
(/.f64 #s(literal 1 binary64) (/.f64 b c))
(neg.f64 (/.f64 (*.f64 b b) (*.f64 b a)))
Outputs
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(neg.f64 (/.f64 b a))
Calls

1 calls:

4.0ms
b
Results
AccuracySegmentsBranch
70.0%2b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes11.0ms (0.1%)

Memory
-8.2MiB live, 29.6MiB allocated
Counts
4 → 2
Calls
Call 1
Inputs
(/.f64 b a)
(/.f64 c b)
(neg.f64 (/.f64 b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
Outputs
(/.f64 c b)
(neg.f64 (/.f64 b a))
Calls

4 calls:

4.0ms
b
2.0ms
a
2.0ms
c
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))
Results
AccuracySegmentsBranch
42.1%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))
42.1%1c
42.1%1a
48.4%2b
Compiler

Compiled 32 to 23 computations (28.1% saved)

regimes8.0ms (0.1%)

Memory
-17.7MiB live, 20.8MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
(/.f64 b a)
(/.f64 c b)
Outputs
(/.f64 c b)
Calls

4 calls:

3.0ms
a
2.0ms
b
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
9.2%1a
9.2%1c
9.2%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))
9.2%1b
Compiler

Compiled 32 to 23 computations (28.1% saved)

regimes6.0ms (0.1%)

Memory
17.1MiB live, 17.1MiB 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
b
1.0ms
c
1.0ms
a
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
2.3%1c
2.3%1b
2.3%1a
2.3%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)

bsearch54.0ms (0.5%)

Memory
6.7MiB live, 126.1MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
17.0ms
1.4981607369893907e+63
7.310161885908465e+70
31.0ms
-2.3362571467031044e-79
-1.618066080102859e-89
Samples
22.0ms236×0valid
7.0ms35×2valid
5.0ms33×1valid
3.0ms44×0invalid
Compiler

Compiled 611 to 438 computations (28.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-mult: 11.0ms (41.9% of total)
ival-sub: 4.0ms (15.2% of total)
ival-div: 3.0ms (11.4% of total)
ival-neg: 3.0ms (11.4% of total)
ival-sqrt: 3.0ms (11.4% of total)
adjust: 1.0ms (3.8% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch56.0ms (0.5%)

Memory
0.0MiB live, 118.9MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
21.0ms
5.859005649788112e-140
9.5731084408282e-132
29.0ms
-2.3362571467031044e-79
-1.618066080102859e-89
Samples
21.0ms248×0valid
6.0ms67×0invalid
5.0ms26×2valid
5.0ms30×1valid
Compiler

Compiled 535 to 400 computations (25.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-mult: 12.0ms (47% of total)
ival-sub: 4.0ms (15.7% of total)
ival-div: 3.0ms (11.8% of total)
ival-sqrt: 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)

bsearch60.0ms (0.6%)

Memory
-16.5MiB live, 140.0MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
20.0ms
5.859005649788112e-140
9.5731084408282e-132
30.0ms
-2.3362571467031044e-79
-1.618066080102859e-89
Samples
21.0ms235×0valid
7.0ms25×2valid
6.0ms44×1valid
5.0ms63×0invalid
Compiler

Compiled 516 to 381 computations (26.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-mult: 12.0ms (44.3% of total)
ival-sub: 4.0ms (14.8% of total)
ival-div: 3.0ms (11.1% of total)
ival-sqrt: 3.0ms (11.1% of total)
ival-neg: 2.0ms (7.4% of total)
adjust: 1.0ms (3.7% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch58.0ms (0.6%)

Memory
7.3MiB live, 119.3MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
22.0ms
5.859005649788112e-140
9.5731084408282e-132
28.0ms
-2.3362571467031044e-79
-1.618066080102859e-89
Samples
19.0ms248×0valid
7.0ms59×0invalid
5.0ms36×1valid
4.0ms20×2valid
Compiler

Compiled 516 to 381 computations (26.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-mult: 9.0ms (38.8% of total)
ival-sub: 4.0ms (17.3% of total)
ival-div: 3.0ms (12.9% of total)
ival-sqrt: 3.0ms (12.9% of total)
ival-neg: 2.0ms (8.6% of total)
adjust: 1.0ms (4.3% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch42.0ms (0.4%)

Memory
24.1MiB live, 72.8MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
38.0ms
-3.120827195888106e-297
2.5057419672290668e-298
Samples
14.0ms176×0valid
7.0ms83×0invalid
Compiler

Compiled 243 to 174 computations (28.4% saved)

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

bsearch45.0ms (0.4%)

Memory
-15.5MiB live, 93.0MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
36.0ms
-3.120827195888106e-297
2.5057419672290668e-298
Samples
19.0ms176×0valid
9.0ms117×0invalid
Compiler

Compiled 210 to 163 computations (22.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-mult: 9.0ms (51.4% of total)
ival-sub: 2.0ms (11.4% of total)
ival-div: 2.0ms (11.4% of total)
ival-sqrt: 2.0ms (11.4% of total)
ival-neg: 1.0ms (5.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch25.0ms (0.2%)

Memory
2.1MiB live, 45.7MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
23.0ms
-52868116286814.29
-22375797389308.508
Samples
8.0ms20×0valid
6.0ms29×2valid
4.0ms25×1valid
2.0ms6×3valid
0.0ms5×0invalid
Compiler

Compiled 98 to 75 computations (23.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 3.0ms (29.8% of total)
ival-sub: 2.0ms (19.8% of total)
ival-div: 1.0ms (9.9% of total)
adjust: 1.0ms (9.9% of total)
ival-neg: 1.0ms (9.9% of total)
ival-sqrt: 1.0ms (9.9% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

simplify17.0ms (0.2%)

Memory
-6.3MiB live, 33.0MiB allocated
Algorithm
1×egg-herbie
Rules
50×+-commutative_binary64
48×*-commutative_binary64
46×sub-neg_binary64
34×neg-mul-1_binary64
32×neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
065174
196174
2132174
3169174
4190174
5205174
6211174
7214174
8215174
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 b #s(literal -4442853034715493/136703170298938245273281389194851335334573089430825777276610662900622062449960995201469573563940864 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (if (<=.f64 b #s(literal 42000000000000001513824787158339016940304698054844738513025704346517504 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b #s(literal -2012270666800371/2187250724783011924372502227117621365353169430893212436425770606409952999199375923223513177023053824 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (if (<=.f64 b #s(literal 7592092474368493/799167628880894011233688890827050574271641124522232614619944181664095165137859998750798362384253944616915694367080095461234681773897801038410285056 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a)) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b #s(literal -8338893388235233/68351585149469122636640694597425667667286544715412888638305331450311031224980497600734786781970432 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (if (<=.f64 b #s(literal 1048507929091733/12786682062094304179739022253232809188346257992355721833919106906625522642205759980012773798148063113870651109873281527379754908382364816614564560896 binary64)) (/.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal 2 binary64))) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b #s(literal -5297247849083857/34175792574734561318320347298712833833643272357706444319152665725155515612490248800367393390985216 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (if (<=.f64 b #s(literal 7592092474368493/799167628880894011233688890827050574271641124522232614619944181664095165137859998750798362384253944616915694367080095461234681773897801038410285056 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b #s(literal -20240225330731/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (-.f64 (/.f64 c b) (/.f64 b a)))
(if (<=.f64 b #s(literal -20240225330731/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (neg.f64 (/.f64 b a)))
(if (<=.f64 b #s(literal -23000000000000 binary64)) (/.f64 c b) (neg.f64 (/.f64 b a)))
(/.f64 c b)
(/.f64 b a)
Outputs
(if (<=.f64 b #s(literal -4442853034715493/136703170298938245273281389194851335334573089430825777276610662900622062449960995201469573563940864 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (if (<=.f64 b #s(literal 42000000000000001513824787158339016940304698054844738513025704346517504 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b #s(literal -4442853034715493/136703170298938245273281389194851335334573089430825777276610662900622062449960995201469573563940864 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (if (<=.f64 b #s(literal 42000000000000001513824787158339016940304698054844738513025704346517504 binary64)) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 c a))))) (*.f64 a #s(literal 2 binary64))) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b #s(literal -2012270666800371/2187250724783011924372502227117621365353169430893212436425770606409952999199375923223513177023053824 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (if (<=.f64 b #s(literal 7592092474368493/799167628880894011233688890827050574271641124522232614619944181664095165137859998750798362384253944616915694367080095461234681773897801038410285056 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a)) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b #s(literal -2012270666800371/2187250724783011924372502227117621365353169430893212436425770606409952999199375923223513177023053824 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (if (<=.f64 b #s(literal 7592092474368493/799167628880894011233688890827050574271641124522232614619944181664095165137859998750798362384253944616915694367080095461234681773897801038410285056 binary64)) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal 2 binary64))) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b #s(literal -8338893388235233/68351585149469122636640694597425667667286544715412888638305331450311031224980497600734786781970432 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (if (<=.f64 b #s(literal 1048507929091733/12786682062094304179739022253232809188346257992355721833919106906625522642205759980012773798148063113870651109873281527379754908382364816614564560896 binary64)) (/.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal 2 binary64))) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b #s(literal -5297247849083857/34175792574734561318320347298712833833643272357706444319152665725155515612490248800367393390985216 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (if (<=.f64 b #s(literal 7592092474368493/799167628880894011233688890827050574271641124522232614619944181664095165137859998750798362384253944616915694367080095461234681773897801038410285056 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 -5297247849083857/34175792574734561318320347298712833833643272357706444319152665725155515612490248800367393390985216 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (if (<=.f64 b #s(literal 7592092474368493/799167628880894011233688890827050574271641124522232614619944181664095165137859998750798362384253944616915694367080095461234681773897801038410285056 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 b (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64))))) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b #s(literal -20240225330731/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (-.f64 (/.f64 c b) (/.f64 b a)))
(if (<=.f64 b #s(literal -20240225330731/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (neg.f64 (/.f64 b a)))
(if (<=.f64 b #s(literal -20240225330731/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (-.f64 #s(literal 0 binary64) (/.f64 b a)))
(if (<=.f64 b #s(literal -23000000000000 binary64)) (/.f64 c b) (neg.f64 (/.f64 b a)))
(if (<=.f64 b #s(literal -23000000000000 binary64)) (/.f64 c b) (-.f64 #s(literal 0 binary64) (/.f64 b a)))
(/.f64 c b)
(/.f64 b a)

soundness795.0ms (7.7%)

Memory
1.0MiB live, 686.0MiB allocated
Rules
9 868×accelerator-lowering-fma.f32
9 868×accelerator-lowering-fma.f64
7 984×*-lowering-*.f32
7 984×*-lowering-*.f64
7 676×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032166
1169161
01486150
036199
1205174
21894170
08442160
0111810374
1361910195
080949783
01449
17249
258247
0809643
05453114
117183085
257583046
081202886
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
Compiler

Compiled 423 to 227 computations (46.3% saved)

preprocess82.0ms (0.8%)

Memory
19.6MiB live, 137.1MiB allocated
Compiler

Compiled 630 to 210 computations (66.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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