quadm (p42, negative)

Time bar (total: 12.8s)

analyze213.0ms (1.7%)

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 21 to 15 computations (28.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 90.0ms
ival-mult: 34.0ms (37.9% of total)
ival-sub: 20.0ms (22.3% of total)
ival-neg: 15.0ms (16.7% of total)
ival-sqrt: 10.0ms (11.1% of total)
ival-div: 8.0ms (8.9% of total)
const: 3.0ms (3.3% of total)
backward-pass: 1.0ms (1.1% of total)

sample2.0s (15.9%)

Results
660.0ms1870×2valid
652.0ms5593×0valid
175.0ms793×1valid
92.0ms936×0invalid
Precisions
Click to see histograms. Total time spent on operations: 1.0s
ival-mult: 401.0ms (38.6% of total)
ival-sub: 158.0ms (15.2% of total)
ival-div: 133.0ms (12.8% of total)
ival-sqrt: 122.0ms (11.7% of total)
backward-pass: 112.0ms (10.8% of total)
ival-neg: 90.0ms (8.7% of total)
const: 23.0ms (2.2% of total)
Bogosity

preprocess246.0ms (1.9%)

Algorithm
2×egg-herbie
Rules
2518×fnmadd-define
1718×fmsub-define
1692×fnmsub-define
1418×fmm-def
1228×fma-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
060165
1219158
2665144
32348140
46986140
01416
13916
210115
327014
449414
5100314
6316414
7581214
8644814
9737814
10754314
11758314
12758914
0758914
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))
(/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64)))
Call 2
Inputs
(/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a))
(/ (- (neg b) (sqrt (- (* b b) (* 4 (* (neg a) c))))) (* 2 (neg a)))
(/ (- (neg (neg b)) (sqrt (- (* (neg b) (neg b)) (* 4 (* a c))))) (* 2 a))
(/ (- (neg b) (sqrt (- (* b b) (* 4 (* a (neg c)))))) (* 2 a))
(neg (/ (- (neg b) (sqrt (- (* b b) (* 4 (* (neg a) c))))) (* 2 (neg a))))
(neg (/ (- (neg (neg b)) (sqrt (- (* (neg b) (neg b)) (* 4 (* a c))))) (* 2 a)))
(neg (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a (neg c)))))) (* 2 a)))
(/ (- (neg a) (sqrt (- (* a a) (* 4 (* b c))))) (* 2 b))
(/ (- (neg b) (sqrt (- (* b b) (* 4 (* c a))))) (* 2 c))
(/ (- (neg c) (sqrt (- (* c c) (* 4 (* a b))))) (* 2 a))
Outputs
(/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a))
(/ (+ b (sqrt (fma a (* c -4) (square b)))) (* a -2))
(/ (- (neg b) (sqrt (- (* b b) (* 4 (* (neg a) c))))) (* 2 (neg a)))
(/ (+ b (sqrt (fma 4 (* a c) (square b)))) (* a 2))
(/ (- (neg (neg b)) (sqrt (- (* (neg b) (neg b)) (* 4 (* a c))))) (* 2 a))
(/ (- b (sqrt (fma a (* c -4) (square b)))) (* a 2))
(/ (- (neg b) (sqrt (- (* b b) (* 4 (* a (neg c)))))) (* 2 a))
(/ (+ b (sqrt (fma 4 (* a c) (square b)))) (* a -2))
(neg (/ (- (neg b) (sqrt (- (* b b) (* 4 (* (neg a) c))))) (* 2 (neg a))))
(/ (+ b (sqrt (fma 4 (* a c) (square b)))) (* a -2))
(neg (/ (- (neg (neg b)) (sqrt (- (* (neg b) (neg b)) (* 4 (* a c))))) (* 2 a)))
(/ (- b (sqrt (fma a (* c -4) (square b)))) (* a -2))
(neg (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a (neg c)))))) (* 2 a)))
(/ (+ b (sqrt (fma 4 (* a c) (square b)))) (* a 2))
(/ (- (neg a) (sqrt (- (* a a) (* 4 (* b c))))) (* 2 b))
(/ (+ a (sqrt (fma b (* c -4) (square a)))) (* b -2))
(/ (- (neg b) (sqrt (- (* b b) (* 4 (* c a))))) (* 2 c))
(/ (+ b (sqrt (fma a (* c -4) (square b)))) (* c -2))
(/ (- (neg c) (sqrt (- (* c c) (* 4 (* a b))))) (* 2 a))
(/ (+ c (sqrt (fma b (* a -4) (square c)))) (* a -2))

explain314.0ms (2.4%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1120-1(-7.810171604751676e-287 1.0306401318788831e-156 -1.1314894613705544e-224)(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))
480-0-(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))))
150-0-(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a))
50-0-(-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))
00-0-b
00-0-(neg.f64 b)
00-0-#s(literal 2 binary64)
00-0-c
00-0-(*.f64 #s(literal 2 binary64) a)
00-0-(*.f64 b b)
00-0-#s(literal 4 binary64)
00-0-(*.f64 a c)
00-0-(*.f64 #s(literal 4 binary64) (*.f64 a c))
00-0-a
Results
127.0ms124×2valid
105.0ms360×0valid
10.0ms28×1valid
Compiler

Compiled 168 to 44 computations (73.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 102.0ms
ival-mult: 66.0ms (65% of total)
backward-pass: 9.0ms (8.9% of total)
ival-sub: 8.0ms (7.9% of total)
ival-sqrt: 7.0ms (6.9% of total)
ival-div: 6.0ms (5.9% of total)
ival-neg: 5.0ms (4.9% of total)
const: 1.0ms (1% of total)

eval0.0ms (0%)

Compiler

Compiled 19 to 13 computations (31.6% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶52.3%
(/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64)))
Compiler

Compiled 19 to 13 computations (31.6% saved)

simplify6.0ms (0.1%)

Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))
✓cost-diff0
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))
✓cost-diff0
(+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))
✓cost-diff0
(/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64)))
Rules
30×*-lowering-*.f32
30×*-lowering-*.f64
14×fma-lowering-fma.f32
14×fma-define
14×fma-lowering-fma.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01361
12457
23657
34257
04257
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(/ (+ b (sqrt (+ (* b b) (* a (* c -4))))) (* a -2))
(+ b (sqrt (+ (* b b) (* a (* c -4)))))
b
(sqrt (+ (* b b) (* a (* c -4))))
(+ (* b b) (* a (* c -4)))
(* b b)
(* a (* c -4))
a
(* c -4)
c
-4
(* a -2)
-2
Outputs
(/ (+ b (sqrt (+ (* b b) (* a (* c -4))))) (* a -2))
(/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64)))
(+ b (sqrt (+ (* b b) (* a (* c -4)))))
(+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))
b
(sqrt (+ (* b b) (* a (* c -4))))
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))
(+ (* b b) (* a (* c -4)))
(+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))
(* b b)
(*.f64 b b)
(* a (* c -4))
(*.f64 a (*.f64 c #s(literal -4 binary64)))
a
(* c -4)
(*.f64 c #s(literal -4 binary64))
c
-4
#s(literal -4 binary64)
(* a -2)
(*.f64 a #s(literal -2 binary64))
-2
#s(literal -2 binary64)

localize145.0ms (1.1%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy98.4%
(+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))
✓accuracy94.6%
(/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64)))
✓accuracy82.2%
(+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))
✓accuracy59.4%
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))
Results
95.0ms62×2valid
27.0ms180×0valid
4.0ms14×1valid
Compiler

Compiled 70 to 14 computations (80% saved)

Precisions
Click to see histograms. Total time spent on operations: 62.0ms
ival-mult: 33.0ms (53.2% of total)
backward-pass: 18.0ms (29% of total)
ival-sqrt: 4.0ms (6.5% of total)
ival-add: 4.0ms (6.5% of total)
ival-div: 3.0ms (4.8% of total)
const: 1.0ms (1.6% of total)

series21.0ms (0.2%)

Counts
4 → 144
Calls
Call 1
Inputs
#<alt (/ (+ b (sqrt (+ (* b b) (* a (* c -4))))) (* a -2))>
#<alt (+ b (sqrt (+ (* b b) (* a (* c -4)))))>
#<alt (sqrt (+ (* b b) (* a (* c -4))))>
#<alt (+ (* b b) (* a (* c -4)))>
Outputs
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))>
#<alt (* -1 (/ b a))>
#<alt (* b (- (/ c (pow b 2)) (/ 1 a)))>
#<alt (* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))>
#<alt (* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))>
#<alt (* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))>
#<alt (* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))>
#<alt (* -1 (/ b a))>
#<alt (/ (+ (* -1 b) (/ (* a c) b)) 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 (* (sqrt (* a c)) (sqrt -4))>
#<alt (+ b (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ (* b (+ 1 (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ (* b (+ 1 (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (* 2 b)>
#<alt (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))>
#<alt (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))>
#<alt (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* -1 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))>
#<alt (* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))>
#<alt (* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b))>
#<alt (* 2 b)>
#<alt (+ (* -2 (/ (* a c) b)) (* 2 b))>
#<alt (+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))>
#<alt (+ (* 2 b) (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))>
#<alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))>
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -1 (* a (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -1 (* a (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* 2 b)>
#<alt (+ (* -2 (/ (* a c) b)) (* 2 b))>
#<alt (+ (* 2 b) (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))>
#<alt (+ (* 2 b) (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))>
#<alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))>
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))>
#<alt (+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))>
#<alt b>
#<alt (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))>
#<alt (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))>
#<alt (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))>
#<alt (* -1 b)>
#<alt (* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))>
#<alt (* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))>
#<alt (* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))>
#<alt b>
#<alt (+ b (* -2 (/ (* a c) b)))>
#<alt (+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))>
#<alt (+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))>
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))>
#<alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))>
#<alt b>
#<alt (+ b (* -2 (/ (* a c) b)))>
#<alt (+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))>
#<alt (+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))>
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))>
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))>
#<alt (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))>
#<alt (* -4 (* a c))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (pow b 2)>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (* -4 (* a c))>
#<alt (* a (+ (* -4 c) (/ (pow b 2) a)))>
#<alt (* a (+ (* -4 c) (/ (pow b 2) a)))>
#<alt (* a (+ (* -4 c) (/ (pow b 2) a)))>
#<alt (* -4 (* a c))>
#<alt (* -1 (* a (+ (* -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 (+ (* -4 a) (/ (pow b 2) c)))>
#<alt (* c (+ (* -4 a) (/ (pow b 2) c)))>
#<alt (* c (+ (* -4 a) (/ (pow b 2) c)))>
#<alt (* -4 (* a c))>
#<alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))>
#<alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))>
#<alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))>
Calls

36 calls:

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

rewrite730.0ms (5.7%)

Algorithm
1×batch-egg-rewrite
Rules
4012×*-lowering-*.f32
4012×*-lowering-*.f64
2468×/-lowering-/.f32
2468×/-lowering-/.f64
2020×sum3-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01343
16039
250639
3642939
0811339
Stop Event
1×iter limit
1×node limit
Counts
4 → 322
Calls
Call 1
Inputs
(/ (+ b (sqrt (+ (* b b) (* a (* c -4))))) (* a -2))
(+ b (sqrt (+ (* b b) (* a (* c -4)))))
(sqrt (+ (* b b) (* a (* c -4))))
(+ (* b b) (* a (* c -4)))
Outputs
(+.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) b) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))
(+.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (*.f64 (/.f64 #s(literal -1/2 binary64) a) b))
(+.f64 (*.f64 b (/.f64 #s(literal -1/2 binary64) a)) (*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 #s(literal -1/2 binary64) a)))
(+.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 #s(literal -1/2 binary64) a)) (*.f64 b (/.f64 #s(literal -1/2 binary64) a)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -2 binary64) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) a))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (*.f64 a #s(literal 2 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 b b) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))) (*.f64 a #s(literal -2 binary64))) (/.f64 (/.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))) (*.f64 a #s(literal -2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 a #s(literal 2 binary64))) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (*.f64 a #s(literal 2 binary64))))
(-.f64 (/.f64 (*.f64 b b) (*.f64 #s(literal -2 binary64) (*.f64 a (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))) (/.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 #s(literal -2 binary64) (*.f64 a (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))))
(neg.f64 (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (*.f64 a #s(literal 2 binary64))))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (*.f64 a #s(literal 2 binary64)))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) a))))
(/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (*.f64 a #s(literal 2 binary64)))
(/.f64 (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64))) (*.f64 (*.f64 a #s(literal -2 binary64)) (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))))
(/.f64 (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))) (*.f64 a #s(literal 2 binary64))))
(/.f64 (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64))) (*.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) a)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))) (/.f64 (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64))) (*.f64 a #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (/.f64 (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 a (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) #s(literal -2 binary64))))
(/.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))
(/.f64 (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 #s(literal -2 binary64) (*.f64 a (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))))
(/.f64 (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))) (*.f64 a #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))))
(/.f64 (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) a) #s(literal -2 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))) (*.f64 a #s(literal 2 binary64))))
(/.f64 (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (-.f64 #s(literal 0 binary64) a)) #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64)))) (*.f64 (*.f64 a #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64)))) (*.f64 (*.f64 a #s(literal 2 binary64)) (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64)))) (neg.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))))))
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 (*.f64 a #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))))
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (neg.f64 (*.f64 #s(literal -2 binary64) (*.f64 a (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))))
(/.f64 (+.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b)))) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 9/2 binary64))) (*.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))) (-.f64 (+.f64 (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b))) (*.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))) (*.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64))))))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))
(/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))) #s(literal -2 binary64)))
(/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))
(/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))) a))
(/.f64 (-.f64 (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b))) (*.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))) (*.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))) (-.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b))) (*.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))) (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))) (+.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (+.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))))
(/.f64 (-.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))) (+.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))
(/.f64 (/.f64 (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64))) (*.f64 a #s(literal -2 binary64))) (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))))
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(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 a (*.f64 (*.f64 c #s(literal -4 binary64)) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)))))) (+.f64 (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) #s(literal -64 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal 4 binary64)))) (-.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 a c) (*.f64 #s(literal 16 binary64) (*.f64 a c)))))
(*.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 1/4 binary64)) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))
(*.f64 (-.f64 (*.f64 (*.f64 a c) (*.f64 #s(literal 16 binary64) (*.f64 a c))) (*.f64 (*.f64 b b) (*.f64 b b))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b))))
(*.f64 (pow.f64 (+.f64 (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) #s(literal -64 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 a (*.f64 (*.f64 c #s(literal -4 binary64)) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)))))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 a c) (*.f64 #s(literal 16 binary64) (*.f64 a c)))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal 4 binary64)))) #s(literal 1 binary64)))
(*.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 1/4 binary64))) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 1/4 binary64)))
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 a c) (*.f64 #s(literal 16 binary64) (*.f64 a c)))) (-.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 a c) (*.f64 #s(literal 16 binary64) (*.f64 a c))))) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) #s(literal -64 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b))) (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b)))) (*.f64 (*.f64 a (*.f64 (*.f64 c #s(literal -4 binary64)) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)))) (*.f64 (*.f64 (*.f64 a c) (*.f64 #s(literal 16 binary64) (*.f64 a c))) (*.f64 (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b))))))) (+.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 b b) (*.f64 b b))) (*.f64 (*.f64 a (*.f64 (*.f64 c #s(literal -4 binary64)) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)))) (-.f64 (*.f64 a (*.f64 (*.f64 c #s(literal -4 binary64)) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)))) (*.f64 (*.f64 b b) (*.f64 b b))))))
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) #s(literal -64 binary64))) (-.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 b b) (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 #s(literal 16 binary64) (*.f64 a c))) (*.f64 (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)))))) (-.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 a (*.f64 (*.f64 c #s(literal -4 binary64)) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b))))))
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 a c) (*.f64 #s(literal 16 binary64) (*.f64 a c)))) (-.f64 (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) #s(literal -64 binary64)))) (+.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))

simplify405.0ms (3.2%)

Algorithm
1×egg-herbie
Rules
6082×*-lowering-*.f32
6082×*-lowering-*.f64
2282×+-lowering-+.f64
2282×+-lowering-+.f32
1498×sum3-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05062937
117242730
263482677
080722677
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)))))
(* (sqrt (* a c)) (sqrt -4))
(+ b (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (+ 1 (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (+ 1 (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))) (* (sqrt (* a c)) (sqrt -4)))
(* 2 b)
(* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* 2 (/ (* a c) b))
(* -1 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))
(* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b))
(* 2 b)
(+ (* -2 (/ (* a c) b)) (* 2 b))
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* 2 b)
(+ (* -2 (/ (* a c) b)) (* 2 b))
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* (sqrt (* a c)) (sqrt -4))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))
b
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 b)
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
(* -4 (* a c))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(pow b 2)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(pow b 2)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* -4 (* a c))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* -4 (* a c))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* -4 (* a c))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* -4 (* a c))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
Outputs
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -1/2 binary64)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -1/2 binary64))) (*.f64 b (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) (/.f64 #s(literal -1/2 binary64) a))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))
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b
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(* -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 (+.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 c (*.f64 c a))))))) (*.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (pow.f64 c #s(literal 5 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 (+.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 c (*.f64 c a)))))))) (+.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (pow.f64 c #s(literal 5 binary64)))))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (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))))) (neg.f64 c))
(* -4 (* a c))
(*.f64 c (*.f64 a #s(literal -4 binary64)))
(+ (* -4 (* a c)) (pow b 2))
(+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))
(+ (* -4 (* a c)) (pow b 2))
(+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))
(+ (* -4 (* a c)) (pow b 2))
(+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) b) b)))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) b) b)))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) b) b)))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) b) b)))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) b) b)))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) b) b)))
(pow b 2)
(*.f64 b b)
(+ (* -4 (* a c)) (pow b 2))
(+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))
(+ (* -4 (* a c)) (pow b 2))
(+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))
(+ (* -4 (* a c)) (pow b 2))
(+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))
(* -4 (* a c))
(*.f64 c (*.f64 a #s(literal -4 binary64)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(*.f64 a (+.f64 (*.f64 c #s(literal -4 binary64)) (/.f64 (*.f64 b b) a)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(*.f64 a (+.f64 (*.f64 c #s(literal -4 binary64)) (/.f64 (*.f64 b b) a)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(*.f64 a (+.f64 (*.f64 c #s(literal -4 binary64)) (/.f64 (*.f64 b b) a)))
(* -4 (* a c))
(*.f64 c (*.f64 a #s(literal -4 binary64)))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(*.f64 (-.f64 (*.f64 c #s(literal 4 binary64)) (/.f64 (*.f64 b b) a)) (neg.f64 a))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(*.f64 (-.f64 (*.f64 c #s(literal 4 binary64)) (/.f64 (*.f64 b b) a)) (neg.f64 a))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(*.f64 (-.f64 (*.f64 c #s(literal 4 binary64)) (/.f64 (*.f64 b b) a)) (neg.f64 a))
(pow b 2)
(*.f64 b b)
(+ (* -4 (* a c)) (pow b 2))
(+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))
(+ (* -4 (* a c)) (pow b 2))
(+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))
(+ (* -4 (* a c)) (pow b 2))
(+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))
(* -4 (* a c))
(*.f64 c (*.f64 a #s(literal -4 binary64)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(*.f64 c (+.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 (*.f64 b b) c)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(*.f64 c (+.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 (*.f64 b b) c)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(*.f64 c (+.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 (*.f64 b b) c)))
(* -4 (* a c))
(*.f64 c (*.f64 a #s(literal -4 binary64)))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(-.f64 #s(literal 0 binary64) (*.f64 c (-.f64 (*.f64 a #s(literal 4 binary64)) (/.f64 (*.f64 b b) c))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(-.f64 #s(literal 0 binary64) (*.f64 c (-.f64 (*.f64 a #s(literal 4 binary64)) (/.f64 (*.f64 b b) c))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(-.f64 #s(literal 0 binary64) (*.f64 c (-.f64 (*.f64 a #s(literal 4 binary64)) (/.f64 (*.f64 b b) c))))

eval87.0ms (0.7%)

Compiler

Compiled 17929 to 1702 computations (90.5% saved)

prune144.0ms (1.1%)

Pruning

16 alts after pruning (16 fresh and 0 done)

PrunedKeptTotal
New45016466
Fresh000
Picked101
Done000
Total45116467
Accuracy
88.4%
Counts
467 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
33.2%
(/.f64 (/.f64 (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64))) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))
▶30.2%
(/.f64 (-.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b b)) (*.f64 (*.f64 a #s(literal -2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)))
▶25.4%
(/.f64 (-.f64 (*.f64 a (+.f64 (/.f64 c b) (*.f64 a (/.f64 (/.f64 (/.f64 (*.f64 c c) b) b) b)))) b) a)
11.8%
(/.f64 (+.f64 b (-.f64 #s(literal 0 binary64) b)) (*.f64 a #s(literal -2 binary64)))
11.7%
(/.f64 (+.f64 b (*.f64 b (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) b) b))))) (*.f64 a #s(literal -2 binary64)))
46.7%
(/.f64 (+.f64 b (sqrt.f64 (*.f64 c (+.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 (*.f64 b b) c))))) (*.f64 a #s(literal -2 binary64)))
36.1%
(/.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64)))
33.9%
(/.f64 (*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (*.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))) (*.f64 a #s(literal -2 binary64)))
27.0%
(/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal 2 binary64))) (*.f64 a #s(literal -2 binary64)))
▶52.2%
(/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))
31.4%
(-.f64 (/.f64 c b) (/.f64 b a))
29.4%
(-.f64 (*.f64 c (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (/.f64 (/.f64 (*.f64 c a) b) b) b))) (/.f64 b a))
31.9%
(-.f64 #s(literal 0 binary64) (/.f64 c b))
▶31.2%
(-.f64 #s(literal 0 binary64) (/.f64 b a))
52.2%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))
▶30.0%
(*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a)))
Compiler

Compiled 646 to 374 computations (42.1% saved)

simplify205.0ms (1.6%)

Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 b b)
✓cost-diff0
(+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))
✓cost-diff256
(/.f64 (-.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b b)) (*.f64 (*.f64 a #s(literal -2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)))
✓cost-diff512
(-.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b b))
✓cost-diff0
(*.f64 a (+.f64 (/.f64 c b) (*.f64 a (/.f64 (/.f64 (/.f64 (*.f64 c c) b) b) b))))
✓cost-diff0
(-.f64 (*.f64 a (+.f64 (/.f64 c b) (*.f64 a (/.f64 (/.f64 (/.f64 (*.f64 c c) b) b) b)))) b)
✓cost-diff128
(+.f64 (/.f64 c b) (*.f64 a (/.f64 (/.f64 (/.f64 (*.f64 c c) b) b) b)))
✓cost-diff128
(/.f64 (-.f64 (*.f64 a (+.f64 (/.f64 c b) (*.f64 a (/.f64 (/.f64 (/.f64 (*.f64 c c) b) b) b)))) b) a)
✓cost-diff0
(*.f64 b b)
✓cost-diff0
(/.f64 c (*.f64 b b))
✓cost-diff0
(+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a))
✓cost-diff256
(*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a)))
✓cost-diff0
(/.f64 b a)
✓cost-diff0
(-.f64 #s(literal 0 binary64) (/.f64 b a))
✓cost-diff0
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))
✓cost-diff0
(+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))
✓cost-diff0
(/.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))
✓cost-diff0
(/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))
Rules
2248×*-lowering-*.f32
2248×*-lowering-*.f64
1958×sum4-define
1554×fnmadd-define
1462×fma-lowering-fma.f32
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
037300
195285
2271274
3681269
41639262
54377260
08463260
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ -1/2 (/ a (+ b (sqrt (+ (* b b) (* a (* c -4)))))))
-1/2
(/ a (+ b (sqrt (+ (* b b) (* a (* c -4))))))
a
(+ b (sqrt (+ (* b b) (* a (* c -4)))))
b
(sqrt (+ (* b b) (* a (* c -4))))
(+ (* b b) (* a (* c -4)))
(* b b)
(* a (* c -4))
(* c -4)
c
-4
(- 0 (/ b a))
0
(/ b a)
b
a
(* b (+ (/ c (* b b)) (/ -1 a)))
b
(+ (/ c (* b b)) (/ -1 a))
(/ c (* b b))
c
(* b b)
(/ -1 a)
-1
a
(/ (- (* a (+ (/ c b) (* a (/ (/ (/ (* c c) b) b) b)))) b) a)
(- (* a (+ (/ c b) (* a (/ (/ (/ (* c c) b) b) b)))) b)
(* a (+ (/ c b) (* a (/ (/ (/ (* c c) b) b) b))))
a
(+ (/ c b) (* a (/ (/ (/ (* c c) b) b) b)))
(/ c b)
c
b
(* a (/ (/ (/ (* c c) b) b) b))
(/ (/ (/ (* c c) b) b) b)
(/ (/ (* c c) b) b)
(/ (* c c) b)
(* c c)
(/ (- (+ (* b b) (* a (* c -4))) (* b b)) (* (* a -2) (- (sqrt (+ (* b b) (* a (* c -4)))) b)))
(- (+ (* b b) (* a (* c -4))) (* b b))
(+ (* b b) (* a (* c -4)))
(* b b)
b
(* a (* c -4))
a
(* c -4)
c
-4
(* (* a -2) (- (sqrt (+ (* b b) (* a (* c -4)))) b))
(* a -2)
-2
(- (sqrt (+ (* b b) (* a (* c -4)))) b)
(sqrt (+ (* b b) (* a (* c -4))))
Outputs
(/ -1/2 (/ a (+ b (sqrt (+ (* b b) (* a (* c -4)))))))
(/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))) a)
-1/2
#s(literal -1/2 binary64)
(/ a (+ b (sqrt (+ (* b b) (* a (* c -4))))))
(/.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))
a
(+ b (sqrt (+ (* b b) (* a (* c -4)))))
(+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))
b
(sqrt (+ (* b b) (* a (* c -4))))
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))
(+ (* b b) (* a (* c -4)))
(+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))
(* b b)
(*.f64 b b)
(* a (* c -4))
(*.f64 a (*.f64 c #s(literal -4 binary64)))
(* c -4)
(*.f64 c #s(literal -4 binary64))
c
-4
#s(literal -4 binary64)
(- 0 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
0
#s(literal 0 binary64)
(/ b a)
(/.f64 b a)
b
a
(* b (+ (/ c (* b b)) (/ -1 a)))
(-.f64 (/.f64 c b) (/.f64 b a))
b
(+ (/ c (* b b)) (/ -1 a))
(+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a))
(/ c (* b b))
(/.f64 c (*.f64 b b))
c
(* b b)
(*.f64 b b)
(/ -1 a)
(/.f64 #s(literal -1 binary64) a)
-1
#s(literal -1 binary64)
a
(/ (- (* a (+ (/ c b) (* a (/ (/ (/ (* c c) b) b) b)))) b) a)
(-.f64 (*.f64 (+.f64 (/.f64 (/.f64 (*.f64 a c) b) b) #s(literal 1 binary64)) (/.f64 c b)) (/.f64 b a))
(- (* a (+ (/ c b) (* a (/ (/ (/ (* c c) b) b) b)))) b)
(-.f64 (*.f64 (/.f64 a b) (*.f64 (+.f64 (/.f64 (/.f64 (*.f64 a c) b) b) #s(literal 1 binary64)) c)) b)
(* a (+ (/ c b) (* a (/ (/ (/ (* c c) b) b) b))))
(*.f64 (/.f64 a b) (*.f64 (+.f64 (/.f64 (/.f64 (*.f64 a c) b) b) #s(literal 1 binary64)) c))
a
(+ (/ c b) (* a (/ (/ (/ (* c c) b) b) b)))
(*.f64 (+.f64 (/.f64 (/.f64 (*.f64 a c) b) b) #s(literal 1 binary64)) (/.f64 c b))
(/ c b)
(/.f64 c b)
c
b
(* a (/ (/ (/ (* c c) b) b) b))
(/.f64 (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b b)))
(/ (/ (/ (* c c) b) b) b)
(/.f64 (*.f64 c c) (*.f64 b (*.f64 b b)))
(/ (/ (* c c) b) b)
(/.f64 (*.f64 c c) (*.f64 b b))
(/ (* c c) b)
(/.f64 (*.f64 c c) b)
(* c c)
(*.f64 c c)
(/ (- (+ (* b b) (* a (* c -4))) (* b b)) (* (* a -2) (- (sqrt (+ (* b b) (* a (* c -4)))) b)))
(/.f64 (*.f64 c #s(literal -4 binary64)) (*.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) #s(literal 2 binary64)))
(- (+ (* b b) (* a (* c -4))) (* b b))
(*.f64 a (*.f64 c #s(literal -4 binary64)))
(+ (* b b) (* a (* c -4)))
(+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))
(* b b)
(*.f64 b b)
b
(* a (* c -4))
(*.f64 a (*.f64 c #s(literal -4 binary64)))
a
(* c -4)
(*.f64 c #s(literal -4 binary64))
c
-4
#s(literal -4 binary64)
(* (* a -2) (- (sqrt (+ (* b b) (* a (* c -4)))) b))
(*.f64 a (*.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) #s(literal 2 binary64)))
(* a -2)
(*.f64 a #s(literal -2 binary64))
-2
#s(literal -2 binary64)
(- (sqrt (+ (* b b) (* a (* c -4)))) b)
(-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)
(sqrt (+ (* b b) (* a (* c -4))))
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))

localize536.0ms (4.2%)

Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy79.8%
(-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)
✓accuracy71.7%
(/.f64 (-.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b b)) (*.f64 (*.f64 a #s(literal -2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)))
✓accuracy59.4%
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))
✓accuracy50.6%
(-.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b b))
✓accuracy94.6%
(*.f64 a (/.f64 (/.f64 (/.f64 (*.f64 c c) b) b) b))
✓accuracy90.4%
(*.f64 a (+.f64 (/.f64 c b) (*.f64 a (/.f64 (/.f64 (/.f64 (*.f64 c c) b) b) b))))
✓accuracy89.7%
(+.f64 (/.f64 c b) (*.f64 a (/.f64 (/.f64 (/.f64 (*.f64 c c) b) b) b)))
✓accuracy86.6%
(/.f64 (*.f64 c c) b)
✓accuracy100.0%
(*.f64 b b)
✓accuracy100.0%
(+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a))
✓accuracy92.5%
(*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a)))
✓accuracy89.4%
(/.f64 c (*.f64 b b))
✓accuracy100.0%
(/.f64 b a)
✓accuracy100.0%
(-.f64 #s(literal 0 binary64) (/.f64 b a))
✓accuracy98.4%
(+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))
✓accuracy94.7%
(/.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))
✓accuracy82.2%
(+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))
✓accuracy59.4%
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))
Results
267.0ms106×2valid
92.0ms107×0valid
41.0ms37×1valid
11.0ms6×3valid
Compiler

Compiled 349 to 38 computations (89.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 156.0ms
backward-pass: 50.0ms (32% of total)
ival-mult: 42.0ms (26.9% of total)
ival-div: 32.0ms (20.5% of total)
ival-add: 16.0ms (10.2% of total)
ival-sub: 9.0ms (5.8% of total)
ival-sqrt: 5.0ms (3.2% of total)
const: 2.0ms (1.3% of total)

series96.0ms (0.7%)

Counts
20 → 648
Calls
Call 1
Inputs
#<alt (/ -1/2 (/ a (+ b (sqrt (+ (* b b) (* a (* c -4)))))))>
#<alt (/ a (+ b (sqrt (+ (* b b) (* a (* c -4))))))>
#<alt (+ b (sqrt (+ (* b b) (* a (* c -4)))))>
#<alt (sqrt (+ (* b b) (* a (* c -4))))>
#<alt (- 0 (/ b a))>
#<alt (/ b a)>
#<alt (* b (+ (/ c (* b b)) (/ -1 a)))>
#<alt (+ (/ c (* b b)) (/ -1 a))>
#<alt (/ c (* b b))>
#<alt (* b b)>
#<alt (/ (- (* a (+ (/ c b) (* a (/ (/ (/ (* c c) b) b) b)))) b) a)>
#<alt (+ (/ c b) (* a (/ (/ (/ (* c c) b) b) b)))>
#<alt (- (* a (+ (/ c b) (* a (/ (/ (/ (* c c) b) b) b)))) b)>
#<alt (* a (+ (/ c b) (* a (/ (/ (/ (* c c) b) b) b))))>
#<alt (- (+ (* b b) (* a (* c -4))) (* b b))>
#<alt (/ (- (+ (* b b) (* a (* c -4))) (* b b)) (* (* a -2) (- (sqrt (+ (* b b) (* a (* c -4)))) b)))>
#<alt (+ (* b b) (* a (* c -4)))>
#<alt (/ (* c c) b)>
#<alt (* a (/ (/ (/ (* c c) b) b) b))>
#<alt (- (sqrt (+ (* b b) (* a (* c -4)))) b)>
Outputs
#<alt (* -1 (/ b a))>
#<alt (/ (+ (* -1 b) (/ (* a c) b)) a)>
#<alt (/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)>
#<alt (/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)>
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))>
#<alt (* -1 (/ b a))>
#<alt (* b (- (/ c (pow b 2)) (/ 1 a)))>
#<alt (* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))>
#<alt (* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))>
#<alt (* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))>
#<alt (* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))>
#<alt (* -1 (/ b a))>
#<alt (+ (* -1 (/ b a)) (/ c b))>
#<alt (+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))>
#<alt (+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))>
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))>
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))>
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)))))>
#<alt (* 1/2 (/ a b))>
#<alt (* a (+ (* 1/2 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))>
#<alt (* a (+ (* a (- (/ (* a (pow c 2)) (pow b 5)) (* -1/2 (/ c (pow b 3))))) (* 1/2 (/ 1 b))))>
#<alt (* a (+ (* a (- (* a (- (* -1 (* a (+ (* -2 (/ (pow c 3) (pow b 7))) (* -1/2 (/ (pow c 3) (pow b 7)))))) (* -1 (/ (pow c 2) (pow b 5))))) (* -1/2 (/ c (pow b 3))))) (* 1/2 (/ 1 b))))>
#<alt (* (sqrt (/ a c)) (/ 1 (sqrt -4)))>
#<alt (+ (* -1 (/ b (* c (pow (sqrt -4) 2)))) (* (sqrt (/ a c)) (/ 1 (sqrt -4))))>
#<alt (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (/ b (* c (pow (sqrt -4) 2))))>
#<alt (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (* -1/2 (/ (* (pow a 2) (pow b 3)) (* (pow c 2) (pow (sqrt -4) 4))))) (pow a 3))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (/ b (* c (pow (sqrt -4) 2))))))>
#<alt (* -1/2 (* (sqrt (/ a c)) (sqrt -1)))>
#<alt (+ (* -1/2 (* (sqrt (/ a c)) (sqrt -1))) (* 1/4 (/ b c)))>
#<alt (+ (* -1 (/ (- (+ (* -1/16 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1))))) (* 1/4 (/ (* a b) c))) a)) (* -1/2 (* (sqrt (/ a c)) (sqrt -1))))>
#<alt (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/16 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1))))))))) (* 1/32 (/ (* a (pow b 3)) (pow c 2)))) (+ (* -1/16 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))))) a)) (* 1/4 (/ (* a b) c))) a)) (* -1/2 (* (sqrt (/ a c)) (sqrt -1))))>
#<alt (* (sqrt (/ a c)) (/ 1 (sqrt -4)))>
#<alt (+ (* -1 (/ b (* c (pow (sqrt -4) 2)))) (* (sqrt (/ a c)) (/ 1 (sqrt -4))))>
#<alt (+ (* b (- (* -1 (* b (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))))) (/ 1 (* c (pow (sqrt -4) 2))))) (* (sqrt (/ a c)) (/ 1 (sqrt -4))))>
#<alt (+ (* b (- (* b (- (* b (- (* 1/2 (/ 1 (* a (* (pow c 2) (pow (sqrt -4) 4))))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4)))))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))))) (/ 1 (* c (pow (sqrt -4) 2))))) (* (sqrt (/ a c)) (/ 1 (sqrt -4))))>
#<alt (* 1/2 (/ a b))>
#<alt (/ (+ (* 1/2 a) (* 1/2 (/ (* (pow a 2) c) (pow b 2)))) b)>
#<alt (/ (- (+ (* 1/2 a) (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* -1/2 (/ (* (pow a 2) c) (pow b 2)))) b)>
#<alt (/ (- (+ (* -1 (/ (+ (* -2 (* (pow a 4) (pow c 3))) (* -1/2 (* (pow a 4) (pow c 3)))) (pow b 6))) (* 1/2 a)) (+ (* -1 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* -1/2 (/ (* (pow a 2) c) (pow b 2))))) b)>
#<alt (* 1/2 (/ b c))>
#<alt (* -1 (* b (- (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c)))))>
#<alt (* -1 (* b (- (* -1 (/ (+ (* -1 (* (pow a 2) c)) (* 1/2 (* (pow a 2) c))) (pow b 4))) (+ (* -1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c))))))>
#<alt (* -1 (* b (- (* -1 (/ (+ (* -1 (* a (* c (+ (* -1 (* (pow a 2) c)) (* 1/2 (* (pow a 2) c)))))) (+ (* -1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow c 2)))) (* (pow a 3) (pow c 2)))) (pow b 6))) (+ (* -1 (/ (* (pow a 2) c) (pow b 4))) (+ (* -1/2 (/ a (pow b 2))) (+ (* 1/2 (/ (* (pow a 2) c) (pow b 4))) (* 1/2 (/ 1 c))))))))>
#<alt (* 1/2 (/ a b))>
#<alt (+ (* 1/2 (/ a b)) (* 1/2 (/ (* (pow a 2) c) (pow b 3))))>
#<alt (+ (* 1/2 (/ a b)) (* c (- (/ (* (pow a 3) c) (pow b 5)) (* -1/2 (/ (pow a 2) (pow b 3))))))>
#<alt (+ (* 1/2 (/ a b)) (* c (- (* c (- (* -1 (* c (+ (* -2 (/ (pow a 4) (pow b 7))) (* -1/2 (/ (pow a 4) (pow b 7)))))) (* -1 (/ (pow a 3) (pow b 5))))) (* -1/2 (/ (pow a 2) (pow b 3))))))>
#<alt (* (sqrt (/ a c)) (/ 1 (sqrt -4)))>
#<alt (/ (+ (* -1 (/ b (pow (sqrt -4) 2))) (* (sqrt (* a c)) (/ 1 (sqrt -4)))) c)>
#<alt (/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2))) (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (/ b (pow (sqrt -4) 2))) c)>
#<alt (/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (* -1/2 (/ (* (pow b 3) (pow c 2)) (* a (pow (sqrt -4) 4))))) (pow c 3))) (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (/ b (pow (sqrt -4) 2))))) c)>
#<alt (* -1/2 (* (sqrt (/ a c)) (sqrt -1)))>
#<alt (* -1 (/ (+ (* -1/4 b) (* 1/2 (* (sqrt (* a c)) (sqrt -1)))) c))>
#<alt (* -1 (/ (+ (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) (* -1/4 (* b c))) c)) (* 1/2 (* (sqrt (* a c)) (sqrt -1)))) c))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1))))))))) (* -1/32 (/ (* (pow b 3) c) a))) (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))))) c)) (* -1/4 (* b c))) c)) (* 1/2 (* (sqrt (* a c)) (sqrt -1)))) c))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (+ b (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ (* b (+ 1 (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ (* b (+ 1 (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (* 2 b)>
#<alt (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))>
#<alt (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))>
#<alt (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* -1 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))>
#<alt (* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))>
#<alt (* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b))>
#<alt (* 2 b)>
#<alt (+ (* -2 (/ (* a c) b)) (* 2 b))>
#<alt (+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))>
#<alt (+ (* 2 b) (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))>
#<alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))>
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -1 (* a (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -1 (* a (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* 2 b)>
#<alt (+ (* -2 (/ (* a c) b)) (* 2 b))>
#<alt (+ (* 2 b) (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))>
#<alt (+ (* 2 b) (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))>
#<alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))>
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<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)))>
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#<alt (/ (+ (* -1 b) (/ (* a c) b)) a)>
#<alt (/ (+ (* -1 b) (* a (+ (* -2 (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3)))))) (/ c b)))) a)>
#<alt (/ (+ (* -1 b) (* a (+ (* a (+ (* -2 (* a (+ (* -1 (/ (* c (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) c)) (/ (pow c 3) (pow b 5)))))) (* -2 (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3))))))) (/ c b)))) a)>
#<alt (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))>
#<alt (/ (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))) a)>
#<alt (/ (+ (* -2 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2))))) a)>
#<alt (/ (+ (* -2 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (+ (* -2 (/ (+ (* 1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt -4) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow a 3))) (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))))) a)>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1 (/ (+ (* 1/2 b) (* (sqrt (* a c)) (sqrt -1))) a))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* a b)) (* 2 (/ (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* (sqrt (* a c)) (sqrt -1))) a))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))) (* 2 (/ (+ (* 1/32 (/ (* (pow a 2) (pow b 3)) c)) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))))))) a))) a)) (* -1/2 (* a b))) a)) (* (sqrt (* a c)) (sqrt -1))) a))>
#<alt (* -1 (/ b a))>
#<alt (+ (* -1 (/ b a)) (/ c b))>
#<alt (+ (* -1 (/ b a)) (* c (+ (* -2 (* c (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3)))))) (/ 1 b))))>
#<alt (+ (* -1 (/ b a)) (* c (+ (* c (+ (* -2 (* c (+ (* -1 (/ (* a (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (pow a 2))) (/ (pow a 2) (pow b 5)))))) (* -2 (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3))))))) (/ 1 b))))>
#<alt (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))>
#<alt (+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2)))))>
#<alt (- (+ (* -1 (/ (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (pow c 2))) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))) (* -2 (/ b (* a (pow (sqrt -4) 2)))))>
#<alt (- (+ (* -1 (/ (+ (* (sqrt (/ c a)) (/ (* b (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (sqrt -4))) (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -4) 4)))) (pow c 3))) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))) (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -2 (/ b (* a (pow (sqrt -4) 2)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3))))))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (* -1/2 (/ (* b c) a))) c)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (+ (* -1/16 (/ (* (pow b 3) c) (pow a 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))) c)) (* -1/2 (/ (* b c) a))) c)))>
#<alt (* -4 (* a c))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (pow b 2)>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (* -4 (* a c))>
#<alt (* a (+ (* -4 c) (/ (pow b 2) a)))>
#<alt (* a (+ (* -4 c) (/ (pow b 2) a)))>
#<alt (* a (+ (* -4 c) (/ (pow b 2) a)))>
#<alt (* -4 (* a c))>
#<alt (* -1 (* a (+ (* -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 (+ (* -4 a) (/ (pow b 2) c)))>
#<alt (* c (+ (* -4 a) (/ (pow b 2) c)))>
#<alt (* c (+ (* -4 a) (/ (pow b 2) c)))>
#<alt (* -4 (* a c))>
#<alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))>
#<alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))>
#<alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))>
#<alt (/ (pow c 2) b)>
#<alt (/ (pow c 2) b)>
#<alt (/ (pow c 2) b)>
#<alt (/ (pow c 2) b)>
#<alt (/ (pow c 2) b)>
#<alt (/ (pow c 2) b)>
#<alt (/ (pow c 2) b)>
#<alt (/ (pow c 2) b)>
#<alt (/ (pow c 2) b)>
#<alt (/ (pow c 2) b)>
#<alt (/ (pow c 2) b)>
#<alt (/ (pow c 2) b)>
#<alt (/ (pow c 2) b)>
#<alt (/ (pow c 2) b)>
#<alt (/ (pow c 2) b)>
#<alt (/ (pow c 2) b)>
#<alt (/ (pow c 2) b)>
#<alt (/ (pow c 2) b)>
#<alt (/ (pow c 2) b)>
#<alt (/ (pow c 2) b)>
#<alt (/ (pow c 2) b)>
#<alt (/ (pow c 2) b)>
#<alt (/ (pow c 2) b)>
#<alt (/ (pow c 2) b)>
#<alt (/ (* a (pow c 2)) (pow b 3))>
#<alt (/ (* a (pow c 2)) (pow b 3))>
#<alt (/ (* a (pow c 2)) (pow b 3))>
#<alt (/ (* a (pow c 2)) (pow b 3))>
#<alt (/ (* a (pow c 2)) (pow b 3))>
#<alt (/ (* a (pow c 2)) (pow b 3))>
#<alt (/ (* a (pow c 2)) (pow b 3))>
#<alt (/ (* a (pow c 2)) (pow b 3))>
#<alt (/ (* a (pow c 2)) (pow b 3))>
#<alt (/ (* a (pow c 2)) (pow b 3))>
#<alt (/ (* a (pow c 2)) (pow b 3))>
#<alt (/ (* a (pow c 2)) (pow b 3))>
#<alt (/ (* a (pow c 2)) (pow b 3))>
#<alt (/ (* a (pow c 2)) (pow b 3))>
#<alt (/ (* a (pow c 2)) (pow b 3))>
#<alt (/ (* a (pow c 2)) (pow b 3))>
#<alt (/ (* a (pow c 2)) (pow b 3))>
#<alt (/ (* a (pow c 2)) (pow b 3))>
#<alt (/ (* a (pow c 2)) (pow b 3))>
#<alt (/ (* a (pow c 2)) (pow b 3))>
#<alt (/ (* a (pow c 2)) (pow b 3))>
#<alt (/ (* a (pow c 2)) (pow b 3))>
#<alt (/ (* a (pow c 2)) (pow b 3))>
#<alt (/ (* a (pow c 2)) (pow b 3))>
#<alt (/ (* a (pow c 2)) (pow b 3))>
#<alt (/ (* a (pow c 2)) (pow b 3))>
#<alt (/ (* a (pow c 2)) (pow b 3))>
#<alt (/ (* a (pow c 2)) (pow b 3))>
#<alt (/ (* a (pow c 2)) (pow b 3))>
#<alt (/ (* a (pow c 2)) (pow b 3))>
#<alt (/ (* a (pow c 2)) (pow b 3))>
#<alt (/ (* a (pow c 2)) (pow b 3))>
#<alt (/ (* a (pow c 2)) (pow b 3))>
#<alt (/ (* a (pow c 2)) (pow b 3))>
#<alt (/ (* a (pow c 2)) (pow b 3))>
#<alt (/ (* a (pow c 2)) (pow b 3))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (* -2 (/ (* a c) b))>
#<alt (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)>
#<alt (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)>
#<alt (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)>
#<alt (* -2 b)>
#<alt (* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))>
#<alt (* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))>
#<alt (* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))>
#<alt (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))>
#<alt (* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a)))>
#<alt (* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a)))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))>
#<alt (* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))>
#<alt (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))>
#<alt (* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))>
#<alt (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c)))>
#<alt (* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c)))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))>
#<alt (* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
Calls

162 calls:

TimeVariablePointExpression
32.0ms
b
@-inf
(/ (* c c) b)
5.0ms
c
@-inf
(* a (+ (/ c b) (* a (/ (/ (/ (* c c) b) b) b))))
3.0ms
b
@-inf
(/ a (+ b (sqrt (+ (* b b) (* a (* c -4))))))
2.0ms
b
@inf
(/ (- (+ (* b b) (* a (* c -4))) (* b b)) (* (* a -2) (- (sqrt (+ (* b b) (* a (* c -4)))) b)))
2.0ms
c
@0
(/ a (+ b (sqrt (+ (* b b) (* a (* c -4))))))

rewrite381.0ms (3%)

Algorithm
1×batch-egg-rewrite
Rules
2724×fma-lowering-fma.f32
2724×fma-lowering-fma.f64
2532×*-lowering-*.f32
2532×*-lowering-*.f64
2156×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
037211
1256182
22747178
08617178
Stop Event
1×iter limit
1×node limit
Counts
20 → 550
Calls
Call 1
Inputs
(/ -1/2 (/ a (+ b (sqrt (+ (* b b) (* a (* c -4)))))))
(/ a (+ b (sqrt (+ (* b b) (* a (* c -4))))))
(+ b (sqrt (+ (* b b) (* a (* c -4)))))
(sqrt (+ (* b b) (* a (* c -4))))
(- 0 (/ b a))
(/ b a)
(* b (+ (/ c (* b b)) (/ -1 a)))
(+ (/ c (* b b)) (/ -1 a))
(/ c (* b b))
(* b b)
(/ (- (* a (+ (/ c b) (* a (/ (/ (/ (* c c) b) b) b)))) b) a)
(+ (/ c b) (* a (/ (/ (/ (* c c) b) b) b)))
(- (* a (+ (/ c b) (* a (/ (/ (/ (* c c) b) b) b)))) b)
(* a (+ (/ c b) (* a (/ (/ (/ (* c c) b) b) b))))
(- (+ (* b b) (* a (* c -4))) (* b b))
(/ (- (+ (* b b) (* a (* c -4))) (* b b)) (* (* a -2) (- (sqrt (+ (* b b) (* a (* c -4)))) b)))
(+ (* b b) (* a (* c -4)))
(/ (* c c) b)
(* a (/ (/ (/ (* c c) b) b) b))
(- (sqrt (+ (* b b) (* a (* c -4)))) b)
Outputs
(+.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) b) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))))
(+.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) (*.f64 (/.f64 #s(literal -1/2 binary64) a) b))
(+.f64 (*.f64 b (/.f64 #s(literal -1/2 binary64) a)) (*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) (/.f64 #s(literal -1/2 binary64) a)))
(+.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) (/.f64 #s(literal -1/2 binary64) a)) (*.f64 b (/.f64 #s(literal -1/2 binary64) a)))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))) #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(fma.f64 b (/.f64 #s(literal -1/2 binary64) a) (*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) (/.f64 #s(literal -1/2 binary64) a)))
(fma.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) (/.f64 #s(literal -1/2 binary64) a) (*.f64 b (/.f64 #s(literal -1/2 binary64) a)))
(fma.f64 (/.f64 #s(literal -1/2 binary64) a) b (*.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))))
(fma.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) (*.f64 (/.f64 #s(literal -1/2 binary64) a) b))
(neg.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))))))
(/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) a)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))))
(/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))) #s(literal 3/2 binary64)))) (*.f64 a (+.f64 (*.f64 b b) (-.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))) (*.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))))))
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) (*.f64 a (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))))
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))) #s(literal 3/2 binary64)))) (+.f64 (*.f64 b b) (-.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))) (*.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))))))
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))))
(/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))) a)
(pow.f64 (/.f64 (/.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))) #s(literal -1/2 binary64)) #s(literal -1 binary64))
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(exp.f64 (*.f64 (log.f64 (/.f64 b (*.f64 c c))) #s(literal -1 binary64)))
(neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 c c) b)))
(/.f64 c (/.f64 b c))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 b (*.f64 c c))))
(/.f64 (*.f64 c c) b)
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 c c)) (-.f64 #s(literal 0 binary64) b))
(/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 c c)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b (*.f64 c c)) #s(literal 1 binary64)))
(/.f64 (*.f64 c #s(literal 1 binary64)) (/.f64 b c))
(/.f64 (*.f64 (*.f64 c c) #s(literal 1 binary64)) b)
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 c c))) (neg.f64 (-.f64 #s(literal 0 binary64) b)))
(pow.f64 (/.f64 b (*.f64 c c)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 b (*.f64 c c)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 c (/.f64 c b))
(*.f64 (/.f64 c b) c)
(*.f64 (*.f64 c c) (/.f64 #s(literal 1 binary64) b))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 c c)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) b)))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 c c) b))
(*.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 c c))
(*.f64 (/.f64 #s(literal 1 binary64) b) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) #s(literal -1 binary64)))
(/.f64 a (/.f64 b (*.f64 c (/.f64 c (*.f64 b b)))))
(/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 a (/.f64 b (/.f64 (*.f64 c c) b)))))
(/.f64 (/.f64 a (/.f64 b (/.f64 (*.f64 c c) b))) b)
(/.f64 (*.f64 #s(literal 1 binary64) a) (/.f64 b (*.f64 c (/.f64 c (*.f64 b b)))))
(/.f64 (*.f64 a #s(literal 1 binary64)) (/.f64 b (*.f64 c (/.f64 c (*.f64 b b)))))
(/.f64 (neg.f64 (/.f64 a (/.f64 b (/.f64 (*.f64 c c) b)))) (-.f64 #s(literal 0 binary64) b))
(/.f64 (*.f64 a (/.f64 (*.f64 c c) b)) (*.f64 b b))
(/.f64 (*.f64 a (-.f64 #s(literal 0 binary64) (*.f64 c (/.f64 c (*.f64 b b))))) (-.f64 #s(literal 0 binary64) b))
(/.f64 (*.f64 (/.f64 (*.f64 c c) b) a) (*.f64 b b))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 c (/.f64 c (*.f64 b b)))) a) (-.f64 #s(literal 0 binary64) b))
(pow.f64 (/.f64 b (/.f64 a (/.f64 b (/.f64 (*.f64 c c) b)))) #s(literal -1 binary64))
(*.f64 a (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))))
(*.f64 (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))) a)
(*.f64 (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 (/.f64 #s(literal 1 binary64) b) a))
(*.f64 (/.f64 a (/.f64 b (/.f64 (*.f64 c c) b))) (/.f64 #s(literal 1 binary64) b))
(+.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) (-.f64 #s(literal 0 binary64) b))
(+.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))
(-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) b)
(-.f64 (/.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))) #s(literal 3/2 binary64)) (+.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))))) (/.f64 (*.f64 b (*.f64 b b)) (+.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))))))
(-.f64 (/.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))) (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))))
(fma.f64 #s(literal -1 binary64) b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))
(fma.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))) #s(literal 1/4 binary64)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))) #s(literal 1/4 binary64)) (-.f64 #s(literal 0 binary64) b))
(/.f64 (-.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))) (*.f64 b b)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))) (*.f64 b b))) (-.f64 #s(literal 0 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))))) (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) (-.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))) (*.f64 b b))))
(/.f64 (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b))) (+.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b)))) (neg.f64 (+.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))))))
(/.f64 (+.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))) #s(literal 3/2 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b b)))) (+.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))) (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 #s(literal 0 binary64) b)) (*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) (-.f64 #s(literal 0 binary64) b)))))
(/.f64 (-.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))) (*.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 #s(literal 0 binary64) b))) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) (-.f64 #s(literal 0 binary64) b)))
(pow.f64 (/.f64 (+.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))))) (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) (-.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))) (*.f64 b b))) #s(literal -1 binary64))
(*.f64 (-.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))))
(*.f64 (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))))))
(*.f64 (/.f64 (-.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))) (*.f64 b b)) (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))) #s(literal 3/2 binary64)))) (+.f64 (*.f64 b b) (-.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))) (*.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))))))
(*.f64 (/.f64 (-.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))) (*.f64 b b)) (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))))

simplify429.0ms (3.3%)

Algorithm
1×egg-herbie
Rules
6530×*-lowering-*.f32
6530×*-lowering-*.f64
3738×+-lowering-+.f64
3738×+-lowering-+.f32
1570×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
012049698
143808837
083158837
Stop Event
1×iter limit
1×node limit
Counts
648 → 648
Calls
Call 1
Inputs
(* -1 (/ b a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))
(* -1 (/ b a))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))
(* -1 (/ c b))
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))
(* -1 (/ b a))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))
(* (sqrt (/ c a)) (sqrt -1))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)))))
(* 1/2 (/ a b))
(* a (+ (* 1/2 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* a (+ (* a (- (/ (* a (pow c 2)) (pow b 5)) (* -1/2 (/ c (pow b 3))))) (* 1/2 (/ 1 b))))
(* a (+ (* a (- (* a (- (* -1 (* a (+ (* -2 (/ (pow c 3) (pow b 7))) (* -1/2 (/ (pow c 3) (pow b 7)))))) (* -1 (/ (pow c 2) (pow b 5))))) (* -1/2 (/ c (pow b 3))))) (* 1/2 (/ 1 b))))
(* (sqrt (/ a c)) (/ 1 (sqrt -4)))
(+ (* -1 (/ b (* c (pow (sqrt -4) 2)))) (* (sqrt (/ a c)) (/ 1 (sqrt -4))))
(- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (/ b (* c (pow (sqrt -4) 2))))
(- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (* -1/2 (/ (* (pow a 2) (pow b 3)) (* (pow c 2) (pow (sqrt -4) 4))))) (pow a 3))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (/ b (* c (pow (sqrt -4) 2))))))
(* -1/2 (* (sqrt (/ a c)) (sqrt -1)))
(+ (* -1/2 (* (sqrt (/ a c)) (sqrt -1))) (* 1/4 (/ b c)))
(+ (* -1 (/ (- (+ (* -1/16 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1))))) (* 1/4 (/ (* a b) c))) a)) (* -1/2 (* (sqrt (/ a c)) (sqrt -1))))
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/16 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1))))))))) (* 1/32 (/ (* a (pow b 3)) (pow c 2)))) (+ (* -1/16 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))))) a)) (* 1/4 (/ (* a b) c))) a)) (* -1/2 (* (sqrt (/ a c)) (sqrt -1))))
(* (sqrt (/ a c)) (/ 1 (sqrt -4)))
(+ (* -1 (/ b (* c (pow (sqrt -4) 2)))) (* (sqrt (/ a c)) (/ 1 (sqrt -4))))
(+ (* b (- (* -1 (* b (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))))) (/ 1 (* c (pow (sqrt -4) 2))))) (* (sqrt (/ a c)) (/ 1 (sqrt -4))))
(+ (* b (- (* b (- (* b (- (* 1/2 (/ 1 (* a (* (pow c 2) (pow (sqrt -4) 4))))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4)))))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))))) (/ 1 (* c (pow (sqrt -4) 2))))) (* (sqrt (/ a c)) (/ 1 (sqrt -4))))
(* 1/2 (/ a b))
(/ (+ (* 1/2 a) (* 1/2 (/ (* (pow a 2) c) (pow b 2)))) b)
(/ (- (+ (* 1/2 a) (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* -1/2 (/ (* (pow a 2) c) (pow b 2)))) b)
(/ (- (+ (* -1 (/ (+ (* -2 (* (pow a 4) (pow c 3))) (* -1/2 (* (pow a 4) (pow c 3)))) (pow b 6))) (* 1/2 a)) (+ (* -1 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* -1/2 (/ (* (pow a 2) c) (pow b 2))))) b)
(* 1/2 (/ b c))
(* -1 (* b (- (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c)))))
(* -1 (* b (- (* -1 (/ (+ (* -1 (* (pow a 2) c)) (* 1/2 (* (pow a 2) c))) (pow b 4))) (+ (* -1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c))))))
(* -1 (* b (- (* -1 (/ (+ (* -1 (* a (* c (+ (* -1 (* (pow a 2) c)) (* 1/2 (* (pow a 2) c)))))) (+ (* -1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow c 2)))) (* (pow a 3) (pow c 2)))) (pow b 6))) (+ (* -1 (/ (* (pow a 2) c) (pow b 4))) (+ (* -1/2 (/ a (pow b 2))) (+ (* 1/2 (/ (* (pow a 2) c) (pow b 4))) (* 1/2 (/ 1 c))))))))
(* 1/2 (/ a b))
(+ (* 1/2 (/ a b)) (* 1/2 (/ (* (pow a 2) c) (pow b 3))))
(+ (* 1/2 (/ a b)) (* c (- (/ (* (pow a 3) c) (pow b 5)) (* -1/2 (/ (pow a 2) (pow b 3))))))
(+ (* 1/2 (/ a b)) (* c (- (* c (- (* -1 (* c (+ (* -2 (/ (pow a 4) (pow b 7))) (* -1/2 (/ (pow a 4) (pow b 7)))))) (* -1 (/ (pow a 3) (pow b 5))))) (* -1/2 (/ (pow a 2) (pow b 3))))))
(* (sqrt (/ a c)) (/ 1 (sqrt -4)))
(/ (+ (* -1 (/ b (pow (sqrt -4) 2))) (* (sqrt (* a c)) (/ 1 (sqrt -4)))) c)
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2))) (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (/ b (pow (sqrt -4) 2))) c)
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (* -1/2 (/ (* (pow b 3) (pow c 2)) (* a (pow (sqrt -4) 4))))) (pow c 3))) (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (/ b (pow (sqrt -4) 2))))) c)
(* -1/2 (* (sqrt (/ a c)) (sqrt -1)))
(* -1 (/ (+ (* -1/4 b) (* 1/2 (* (sqrt (* a c)) (sqrt -1)))) c))
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(* (sqrt (* a c)) (sqrt -4))
(+ b (* (sqrt (* a c)) (sqrt -4)))
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(* 2 b)
(* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))
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(* 2 (/ (* a c) b))
(* -1 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))
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(* 2 b)
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(* (sqrt (* a c)) (sqrt -4))
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(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))
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(* -2 (* (sqrt (* a c)) (sqrt -1)))
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(* 2 b)
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(* (sqrt (* a c)) (sqrt -4))
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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)))
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b
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
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b
(+ b (* -2 (/ (* a c) b)))
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(* (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))))))))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
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(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ c b)
(/ (+ c (* -1 (/ (pow b 2) a))) b)
(/ (+ c (* -1 (/ (pow b 2) a))) b)
(/ (+ c (* -1 (/ (pow b 2) a))) b)
(* -1 (/ b a))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (/ b a))
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(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
(/ c b)
(* c (+ (* -1 (/ b (* a c))) (/ 1 b)))
(* c (+ (* -1 (/ b (* a c))) (/ 1 b)))
(* c (+ (* -1 (/ b (* a c))) (/ 1 b)))
(/ c b)
(* -1 (* c (- (/ b (* a c)) (/ 1 b))))
(* -1 (* c (- (/ b (* a c)) (/ 1 b))))
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(* -1 (/ b a))
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(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ c b)
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
(/ c b)
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
(/ -1 a)
(- (/ c (pow b 2)) (/ 1 a))
(- (/ c (pow b 2)) (/ 1 a))
(- (/ c (pow b 2)) (/ 1 a))
(/ c (pow b 2))
(* c (- (/ 1 (pow b 2)) (/ 1 (* a c))))
(* c (- (/ 1 (pow b 2)) (/ 1 (* a c))))
(* c (- (/ 1 (pow b 2)) (/ 1 (* a c))))
(/ c (pow b 2))
(* -1 (* c (- (/ 1 (* a c)) (/ 1 (pow b 2)))))
(* -1 (* c (- (/ 1 (* a c)) (/ 1 (pow b 2)))))
(* -1 (* c (- (/ 1 (* a c)) (/ 1 (pow b 2)))))
(/ c (pow b 2))
(/ (+ c (* -1 (/ (pow b 2) a))) (pow b 2))
(/ (+ c (* -1 (/ (pow b 2) a))) (pow b 2))
(/ (+ c (* -1 (/ (pow b 2) a))) (pow b 2))
(/ -1 a)
(- (/ c (pow b 2)) (/ 1 a))
(- (/ c (pow b 2)) (/ 1 a))
(- (/ c (pow b 2)) (/ 1 a))
(/ -1 a)
(- (/ c (pow b 2)) (/ 1 a))
(- (/ c (pow b 2)) (/ 1 a))
(- (/ c (pow b 2)) (/ 1 a))
(/ -1 a)
(/ (- (/ (* a c) (pow b 2)) 1) a)
(/ (- (/ (* a c) (pow b 2)) 1) a)
(/ (- (/ (* a c) (pow b 2)) 1) a)
(/ c (pow b 2))
(- (/ c (pow b 2)) (/ 1 a))
(- (/ c (pow b 2)) (/ 1 a))
(- (/ c (pow b 2)) (/ 1 a))
(/ c (pow b 2))
(- (/ c (pow b 2)) (/ 1 a))
(- (/ c (pow b 2)) (/ 1 a))
(- (/ c (pow b 2)) (/ 1 a))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(pow b 2)
(pow b 2)
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(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(* -1 (/ b a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/ (* a (pow c 2)) (pow b 3))
(* a (+ (/ c (* a b)) (/ (pow c 2) (pow b 3))))
(* a (+ (* -1 (/ b (pow a 2))) (+ (/ c (* a b)) (/ (pow c 2) (pow b 3)))))
(* a (+ (* -1 (/ b (pow a 2))) (+ (/ c (* a b)) (/ (pow c 2) (pow b 3)))))
(/ (* a (pow c 2)) (pow b 3))
(* -1 (* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3))))))
(* -1 (* a (+ (* -1 (/ (+ (* -1 (/ b a)) (/ c b)) a)) (* -1 (/ (pow c 2) (pow b 3))))))
(* -1 (* a (+ (* -1 (/ (+ (* -1 (/ b a)) (/ c b)) a)) (* -1 (/ (pow c 2) (pow b 3))))))
(* -1 (/ b a))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))
(/ (* a (pow c 2)) (pow b 3))
(* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3))))
(* (pow c 2) (+ (* -1 (/ b (* a (pow c 2)))) (+ (/ 1 (* b c)) (/ a (pow b 3)))))
(* (pow c 2) (+ (* -1 (/ b (* a (pow c 2)))) (+ (/ 1 (* b c)) (/ a (pow b 3)))))
(/ (* a (pow c 2)) (pow b 3))
(* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3))))
(* (pow c 2) (+ (* -1 (/ (- (/ b (* a c)) (/ 1 b)) c)) (/ a (pow b 3))))
(* (pow c 2) (+ (* -1 (/ (- (/ b (* a c)) (/ 1 b)) c)) (/ a (pow b 3))))
(/ (* a (pow c 2)) (pow b 3))
(/ (+ (* a (pow c 2)) (* (pow b 2) c)) (pow b 3))
(/ (+ (* a (pow c 2)) (* (pow b 2) (+ c (* -1 (/ (pow b 2) a))))) (pow b 3))
(/ (+ (* a (pow c 2)) (* (pow b 2) (+ c (* -1 (/ (pow b 2) a))))) (pow b 3))
(* -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 (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(/ c b)
(* c (+ (/ 1 b) (/ (* a c) (pow b 3))))
(* c (+ (/ 1 b) (/ (* a c) (pow b 3))))
(* c (+ (/ 1 b) (/ (* a c) (pow b 3))))
(/ (* a (pow c 2)) (pow b 3))
(* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3))))
(* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3))))
(* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3))))
(/ (* a (pow c 2)) (pow b 3))
(* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3))))
(* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3))))
(* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3))))
(/ (* a (pow c 2)) (pow b 3))
(/ (+ (* a (pow c 2)) (* (pow b 2) c)) (pow b 3))
(/ (+ (* a (pow c 2)) (* (pow b 2) c)) (pow b 3))
(/ (+ (* a (pow c 2)) (* (pow b 2) c)) (pow b 3))
(/ c b)
(/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)
(/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)
(/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)
(/ c b)
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(* -1 (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b))
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(/ c b)
(+ (/ c b) (/ (* a (pow c 2)) (pow b 3)))
(+ (/ c b) (/ (* a (pow c 2)) (pow b 3)))
(+ (/ c b) (/ (* a (pow c 2)) (pow b 3)))
(/ (* a (pow c 2)) (pow b 3))
(* a (+ (/ c (* a b)) (/ (pow c 2) (pow b 3))))
(* a (+ (/ c (* a b)) (/ (pow c 2) (pow b 3))))
(* a (+ (/ c (* a b)) (/ (pow c 2) (pow b 3))))
(/ (* a (pow c 2)) (pow b 3))
(* -1 (* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3))))))
(* -1 (* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3))))))
(* -1 (* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3))))))
(* -1 b)
(- (/ (* a c) b) b)
(- (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3)))) b)
(- (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3)))) b)
(/ (* (pow a 2) (pow c 2)) (pow b 3))
(* (pow a 2) (+ (/ c (* a b)) (/ (pow c 2) (pow b 3))))
(* (pow a 2) (+ (* -1 (/ b (pow a 2))) (+ (/ c (* a b)) (/ (pow c 2) (pow b 3)))))
(* (pow a 2) (+ (* -1 (/ b (pow a 2))) (+ (/ c (* a b)) (/ (pow c 2) (pow b 3)))))
(/ (* (pow a 2) (pow c 2)) (pow b 3))
(* (pow a 2) (+ (/ c (* a b)) (/ (pow c 2) (pow b 3))))
(* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ c b)) (/ b a)) a)) (/ (pow c 2) (pow b 3))))
(* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ c b)) (/ b a)) a)) (/ (pow c 2) (pow b 3))))
(* -1 b)
(- (/ (* a c) b) b)
(- (* c (+ (/ a b) (/ (* (pow a 2) c) (pow b 3)))) b)
(- (* c (+ (/ a b) (/ (* (pow a 2) c) (pow b 3)))) b)
(/ (* (pow a 2) (pow c 2)) (pow b 3))
(* (pow c 2) (+ (/ a (* b c)) (/ (pow a 2) (pow b 3))))
(* (pow c 2) (+ (* -1 (/ b (pow c 2))) (+ (/ a (* b c)) (/ (pow a 2) (pow b 3)))))
(* (pow c 2) (+ (* -1 (/ b (pow c 2))) (+ (/ a (* b c)) (/ (pow a 2) (pow b 3)))))
(/ (* (pow a 2) (pow c 2)) (pow b 3))
(* (pow c 2) (+ (/ a (* b c)) (/ (pow a 2) (pow b 3))))
(* (pow c 2) (+ (* -1 (/ (+ (* -1 (/ a b)) (/ b c)) c)) (/ (pow a 2) (pow b 3))))
(* (pow c 2) (+ (* -1 (/ (+ (* -1 (/ a b)) (/ b c)) c)) (/ (pow a 2) (pow b 3))))
(/ (* (pow a 2) (pow c 2)) (pow b 3))
(/ (+ (* a (* (pow b 2) c)) (* (pow a 2) (pow c 2))) (pow b 3))
(/ (+ (* (pow a 2) (pow c 2)) (* (pow b 2) (+ (* -1 (pow b 2)) (* a c)))) (pow b 3))
(/ (+ (* (pow a 2) (pow c 2)) (* (pow b 2) (+ (* -1 (pow b 2)) (* a c)))) (pow b 3))
(* -1 b)
(* b (- (/ (* a c) (pow b 2)) 1))
(* b (- (+ (/ (* a c) (pow b 2)) (/ (* (pow a 2) (pow c 2)) (pow b 4))) 1))
(* b (- (+ (/ (* a c) (pow b 2)) (/ (* (pow a 2) (pow c 2)) (pow b 4))) 1))
(* -1 b)
(* -1 (* b (+ 1 (* -1 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -1 (/ (* a c) (pow b 2))) (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -1 (/ (* a c) (pow b 2))) (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(/ (* a c) b)
(* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))
(* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))
(* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))
(/ (* (pow a 2) (pow c 2)) (pow b 3))
(* (pow a 2) (+ (/ c (* a b)) (/ (pow c 2) (pow b 3))))
(* (pow a 2) (+ (/ c (* a b)) (/ (pow c 2) (pow b 3))))
(* (pow a 2) (+ (/ c (* a b)) (/ (pow c 2) (pow b 3))))
(/ (* (pow a 2) (pow c 2)) (pow b 3))
(* (pow a 2) (+ (/ c (* a b)) (/ (pow c 2) (pow b 3))))
(* (pow a 2) (+ (/ c (* a b)) (/ (pow c 2) (pow b 3))))
(* (pow a 2) (+ (/ c (* a b)) (/ (pow c 2) (pow b 3))))
(/ (* a c) b)
(* c (+ (/ a b) (/ (* (pow a 2) c) (pow b 3))))
(* c (+ (/ a b) (/ (* (pow a 2) c) (pow b 3))))
(* c (+ (/ a b) (/ (* (pow a 2) c) (pow b 3))))
(/ (* (pow a 2) (pow c 2)) (pow b 3))
(* (pow c 2) (+ (/ a (* b c)) (/ (pow a 2) (pow b 3))))
(* (pow c 2) (+ (/ a (* b c)) (/ (pow a 2) (pow b 3))))
(* (pow c 2) (+ (/ a (* b c)) (/ (pow a 2) (pow b 3))))
(/ (* (pow a 2) (pow c 2)) (pow b 3))
(* (pow c 2) (+ (/ a (* b c)) (/ (pow a 2) (pow b 3))))
(* (pow c 2) (+ (/ a (* b c)) (/ (pow a 2) (pow b 3))))
(* (pow c 2) (+ (/ a (* b c)) (/ (pow a 2) (pow b 3))))
(/ (* (pow a 2) (pow c 2)) (pow b 3))
(/ (+ (* a (* (pow b 2) c)) (* (pow a 2) (pow c 2))) (pow b 3))
(/ (+ (* a (* (pow b 2) c)) (* (pow a 2) (pow c 2))) (pow b 3))
(/ (+ (* a (* (pow b 2) c)) (* (pow a 2) (pow c 2))) (pow b 3))
(/ (* a c) b)
(/ (+ (* a c) (/ (* (pow a 2) (pow c 2)) (pow b 2))) b)
(/ (+ (* a c) (/ (* (pow a 2) (pow c 2)) (pow b 2))) b)
(/ (+ (* a c) (/ (* (pow a 2) (pow c 2)) (pow b 2))) b)
(/ (* a c) b)
(* -1 (/ (+ (* -1 (* a c)) (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ (* -1 (* a c)) (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ (* -1 (* a c)) (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -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))
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2)))))
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* -2 (* b (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2)))))))
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* b (+ (* -2 (* b (+ (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4))) (* 1/2 (/ 1 (* (pow a 2) (* c (pow (sqrt -4) 4)))))))) (* -2 (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2)))))))
(* -1 (/ b a))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* b (- (+ (* -2 (/ (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2)))) (pow b 4))) (/ c (pow b 2))) (/ 1 a)))
(* b (- (+ (* -2 (/ (+ (* -1 (* a (* c (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2))))))) (+ (* -1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) c))) (* (pow a 2) (pow c 3)))) (pow b 6))) (+ (* -2 (/ (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2)))) (pow b 4))) (/ c (pow b 2)))) (/ 1 a)))
(* -1 (/ c b))
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ c (+ (* -2 (/ (+ (* -2 (* (pow a 3) (pow c 4))) (* -1/2 (* (pow a 3) (pow c 4)))) (pow b 6))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))
(* -1 (/ b a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ (+ (* -1 b) (* a (+ (* -2 (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3)))))) (/ c b)))) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* -2 (* a (+ (* -1 (/ (* c (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) c)) (/ (pow c 3) (pow b 5)))))) (* -2 (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3))))))) (/ c b)))) a)
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
(/ (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))) a)
(/ (+ (* -2 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2))))) a)
(/ (+ (* -2 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (+ (* -2 (/ (+ (* 1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt -4) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow a 3))) (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))))) a)
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (/ (+ (* 1/2 b) (* (sqrt (* a c)) (sqrt -1))) a))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* a b)) (* 2 (/ (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* (sqrt (* a c)) (sqrt -1))) a))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))) (* 2 (/ (+ (* 1/32 (/ (* (pow a 2) (pow b 3)) c)) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))))))) a))) a)) (* -1/2 (* a b))) a)) (* (sqrt (* a c)) (sqrt -1))) a))
(* -1 (/ b a))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (* c (+ (* -2 (* c (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3)))))) (/ 1 b))))
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* -2 (* c (+ (* -1 (/ (* a (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (pow a 2))) (/ (pow a 2) (pow b 5)))))) (* -2 (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3))))))) (/ 1 b))))
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2)))))
(- (+ (* -1 (/ (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (pow c 2))) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))) (* -2 (/ b (* a (pow (sqrt -4) 2)))))
(- (+ (* -1 (/ (+ (* (sqrt (/ c a)) (/ (* b (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (sqrt -4))) (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -4) 4)))) (pow c 3))) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))) (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -2 (/ b (* a (pow (sqrt -4) 2)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (* -1/2 (/ (* b c) a))) c)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (+ (* -1/16 (/ (* (pow b 3) c) (pow a 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))) c)) (* -1/2 (/ (* b c) a))) c)))
(* -4 (* a c))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(pow b 2)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(pow b 2)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* -4 (* a c))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* -4 (* a c))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* -4 (* a c))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* -4 (* a c))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(/ (pow c 2) b)
(/ (pow c 2) b)
(/ (pow c 2) b)
(/ (pow c 2) b)
(/ (pow c 2) b)
(/ (pow c 2) b)
(/ (pow c 2) b)
(/ (pow c 2) b)
(/ (pow c 2) b)
(/ (pow c 2) b)
(/ (pow c 2) b)
(/ (pow c 2) b)
(/ (pow c 2) b)
(/ (pow c 2) b)
(/ (pow c 2) b)
(/ (pow c 2) b)
(/ (pow c 2) b)
(/ (pow c 2) b)
(/ (pow c 2) b)
(/ (pow c 2) b)
(/ (pow c 2) b)
(/ (pow c 2) b)
(/ (pow c 2) b)
(/ (pow c 2) b)
(/ (* a (pow c 2)) (pow b 3))
(/ (* a (pow c 2)) (pow b 3))
(/ (* a (pow c 2)) (pow b 3))
(/ (* a (pow c 2)) (pow b 3))
(/ (* a (pow c 2)) (pow b 3))
(/ (* a (pow c 2)) (pow b 3))
(/ (* a (pow c 2)) (pow b 3))
(/ (* a (pow c 2)) (pow b 3))
(/ (* a (pow c 2)) (pow b 3))
(/ (* a (pow c 2)) (pow b 3))
(/ (* a (pow c 2)) (pow b 3))
(/ (* a (pow c 2)) (pow b 3))
(/ (* a (pow c 2)) (pow b 3))
(/ (* a (pow c 2)) (pow b 3))
(/ (* a (pow c 2)) (pow b 3))
(/ (* a (pow c 2)) (pow b 3))
(/ (* a (pow c 2)) (pow b 3))
(/ (* a (pow c 2)) (pow b 3))
(/ (* a (pow c 2)) (pow b 3))
(/ (* a (pow c 2)) (pow b 3))
(/ (* a (pow c 2)) (pow b 3))
(/ (* a (pow c 2)) (pow b 3))
(/ (* a (pow c 2)) (pow b 3))
(/ (* a (pow c 2)) (pow b 3))
(/ (* a (pow c 2)) (pow b 3))
(/ (* a (pow c 2)) (pow b 3))
(/ (* a (pow c 2)) (pow b 3))
(/ (* a (pow c 2)) (pow b 3))
(/ (* a (pow c 2)) (pow b 3))
(/ (* a (pow c 2)) (pow b 3))
(/ (* a (pow c 2)) (pow b 3))
(/ (* a (pow c 2)) (pow b 3))
(/ (* a (pow c 2)) (pow b 3))
(/ (* a (pow c 2)) (pow b 3))
(/ (* a (pow c 2)) (pow b 3))
(/ (* a (pow c 2)) (pow b 3))
(* (sqrt (* a c)) (sqrt -4))
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(* -2 (/ (* a c) b))
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
(* -2 b)
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -2 (/ (* a c) b))
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -2 (/ (* a c) b))
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c)))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
Outputs
(* -1 (/ b a))
(/.f64 b (neg.f64 a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/.f64 (-.f64 (/.f64 (*.f64 a c) b) b) a)
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/.f64 (-.f64 (*.f64 a (+.f64 (/.f64 c b) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b b))))) b) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)
(/.f64 (-.f64 (*.f64 a (+.f64 (/.f64 c b) (*.f64 a (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a (*.f64 c (*.f64 c c)))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))))))) b) a)
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))) (*.f64 #s(literal -1/4 binary64) (*.f64 (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)))))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))) (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (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 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (*.f64 c (*.f64 c c)))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64))))))))
(* (sqrt (/ c a)) (sqrt -1))
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(+.f64 (*.f64 (/.f64 b a) #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 b #s(literal 1/2 binary64))) a))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (-.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 (+.f64 (*.f64 #s(literal -1/128 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 c (*.f64 c c)))) (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c))))) a)) a))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))
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(*.f64 (-.f64 #s(literal 0 binary64) c) (-.f64 (*.f64 a #s(literal 4 binary64)) (/.f64 (*.f64 b b) c)))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(*.f64 (-.f64 #s(literal 0 binary64) c) (-.f64 (*.f64 a #s(literal 4 binary64)) (/.f64 (*.f64 b b) c)))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(*.f64 (-.f64 #s(literal 0 binary64) c) (-.f64 (*.f64 a #s(literal 4 binary64)) (/.f64 (*.f64 b b) c)))
(/ (pow c 2) b)
(/.f64 (*.f64 c c) b)
(/ (pow c 2) b)
(/.f64 (*.f64 c c) b)
(/ (pow c 2) b)
(/.f64 (*.f64 c c) b)
(/ (pow c 2) b)
(/.f64 (*.f64 c c) b)
(/ (pow c 2) b)
(/.f64 (*.f64 c c) b)
(/ (pow c 2) b)
(/.f64 (*.f64 c c) b)
(/ (pow c 2) b)
(/.f64 (*.f64 c c) b)
(/ (pow c 2) b)
(/.f64 (*.f64 c c) b)
(/ (pow c 2) b)
(/.f64 (*.f64 c c) b)
(/ (pow c 2) b)
(/.f64 (*.f64 c c) b)
(/ (pow c 2) b)
(/.f64 (*.f64 c c) b)
(/ (pow c 2) b)
(/.f64 (*.f64 c c) b)
(/ (pow c 2) b)
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(/ (pow c 2) b)
(/.f64 (*.f64 c c) b)
(/ (pow c 2) b)
(/.f64 (*.f64 c c) b)
(/ (pow c 2) b)
(/.f64 (*.f64 c c) b)
(/ (pow c 2) b)
(/.f64 (*.f64 c c) b)
(/ (pow c 2) b)
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(/ (pow c 2) b)
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(/ (pow c 2) b)
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(/ (pow c 2) b)
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(/ (pow c 2) b)
(/.f64 (*.f64 c c) b)
(/ (pow c 2) b)
(/.f64 (*.f64 c c) b)
(/ (* a (pow c 2)) (pow b 3))
(/.f64 (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b b)))
(/ (* a (pow c 2)) (pow b 3))
(/.f64 (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b b)))
(/ (* a (pow c 2)) (pow b 3))
(/.f64 (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b b)))
(/ (* a (pow c 2)) (pow b 3))
(/.f64 (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b b)))
(/ (* a (pow c 2)) (pow b 3))
(/.f64 (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b b)))
(/ (* a (pow c 2)) (pow b 3))
(/.f64 (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b b)))
(/ (* a (pow c 2)) (pow b 3))
(/.f64 (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b b)))
(/ (* a (pow c 2)) (pow b 3))
(/.f64 (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b b)))
(/ (* a (pow c 2)) (pow b 3))
(/.f64 (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b b)))
(/ (* a (pow c 2)) (pow b 3))
(/.f64 (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b b)))
(/ (* a (pow c 2)) (pow b 3))
(/.f64 (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b b)))
(/ (* a (pow c 2)) (pow b 3))
(/.f64 (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b b)))
(/ (* a (pow c 2)) (pow b 3))
(/.f64 (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b b)))
(/ (* a (pow c 2)) (pow b 3))
(/.f64 (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b b)))
(/ (* a (pow c 2)) (pow b 3))
(/.f64 (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b b)))
(/ (* a (pow c 2)) (pow b 3))
(/.f64 (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b b)))
(/ (* a (pow c 2)) (pow b 3))
(/.f64 (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b b)))
(/ (* a (pow c 2)) (pow b 3))
(/.f64 (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b b)))
(/ (* a (pow c 2)) (pow b 3))
(/.f64 (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b b)))
(/ (* a (pow c 2)) (pow b 3))
(/.f64 (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b b)))
(/ (* a (pow c 2)) (pow b 3))
(/.f64 (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b b)))
(/ (* a (pow c 2)) (pow b 3))
(/.f64 (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b b)))
(/ (* a (pow c 2)) (pow b 3))
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(/ (* a (pow c 2)) (pow b 3))
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(/ (* a (pow c 2)) (pow b 3))
(/.f64 (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b b)))
(/ (* a (pow c 2)) (pow b 3))
(/.f64 (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b b)))
(/ (* a (pow c 2)) (pow b 3))
(/.f64 (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b b)))
(/ (* a (pow c 2)) (pow b 3))
(/.f64 (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b b)))
(/ (* a (pow c 2)) (pow b 3))
(/.f64 (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b b)))
(/ (* a (pow c 2)) (pow b 3))
(/.f64 (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b b)))
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(/.f64 (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b b)))
(/ (* a (pow c 2)) (pow b 3))
(/.f64 (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b b)))
(/ (* a (pow c 2)) (pow b 3))
(/.f64 (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b b)))
(/ (* a (pow c 2)) (pow b 3))
(/.f64 (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b b)))
(/ (* a (pow c 2)) (pow b 3))
(/.f64 (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b b)))
(/ (* a (pow c 2)) (pow b 3))
(/.f64 (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b b)))
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 a c)))
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))
(-.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 a c))) b)
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(+.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 a c))) (*.f64 b (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) #s(literal -1 binary64))))
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(+.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 a c))) (*.f64 b (+.f64 (*.f64 b (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (*.f64 c (*.f64 c c)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -4 binary64)))))) #s(literal -1 binary64))))
(* -2 (/ (* a c) b))
(*.f64 (/.f64 (*.f64 a c) b) #s(literal -2 binary64))
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/.f64 (*.f64 #s(literal -2 binary64) (+.f64 (*.f64 a c) (/.f64 (*.f64 (*.f64 a c) (*.f64 a c)) (*.f64 b b)))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/.f64 (+.f64 (*.f64 #s(literal -2 binary64) (+.f64 (*.f64 a c) (/.f64 (*.f64 (*.f64 a c) (*.f64 a c)) (*.f64 b b)))) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 a a))) (pow.f64 b #s(literal 4 binary64))))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
(/.f64 (+.f64 (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 a a))) (pow.f64 b #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal -2 binary64) (+.f64 (*.f64 a c) (/.f64 (*.f64 (*.f64 a c) (*.f64 a c)) (*.f64 b b)))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.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))))) b)
(* -2 b)
(*.f64 b #s(literal -2 binary64))
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b))
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(*.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 (*.f64 a c) (*.f64 b b)) (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 4 binary64))))))) (-.f64 #s(literal 0 binary64) b))
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(*.f64 (+.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 a a))) (pow.f64 b #s(literal 6 binary64))))) (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 (*.f64 a c) (*.f64 b b)) (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 4 binary64))))))) (-.f64 #s(literal 0 binary64) b))
(* -2 (/ (* a c) b))
(*.f64 (/.f64 (*.f64 a c) b) #s(literal -2 binary64))
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))
(*.f64 a (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 c b) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b b))))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))
(*.f64 a (+.f64 (*.f64 (/.f64 c b) #s(literal -2 binary64)) (*.f64 a (+.f64 (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 a (*.f64 c (*.f64 c c)))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b)))))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))
(*.f64 a (+.f64 (*.f64 (/.f64 c b) #s(literal -2 binary64)) (*.f64 a (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b))) (*.f64 a (+.f64 (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)))) b)))))))
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 a c)))
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(*.f64 a (-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 b a)))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a)))
(*.f64 a (+.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1/2 binary64)) (-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 b a))))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a)))
(*.f64 a (+.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (*.f64 c (*.f64 c c)))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64))))) #s(literal -1/8 binary64)) (+.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1/2 binary64)) (-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 b a)))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 a c))))
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))
(*.f64 (+.f64 (/.f64 b a) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))) (neg.f64 a))
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(*.f64 (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))))) b) a)) (neg.f64 a))
(* -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))))))
(*.f64 (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (-.f64 (/.f64 (+.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 c (*.f64 c c)))) (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/64 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c))) #s(literal 1/4 binary64))) (neg.f64 a)) b) a)) (neg.f64 a))
(* -2 (/ (* a c) b))
(*.f64 (/.f64 (*.f64 a c) b) #s(literal -2 binary64))
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))
(*.f64 c (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 a b) (/.f64 (*.f64 c (*.f64 a a)) (*.f64 b (*.f64 b b))))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))
(*.f64 c (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) a) b) (*.f64 c (+.f64 (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 c (*.f64 a (*.f64 a a)))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (*.f64 b (*.f64 b b)))))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b))))))))
(*.f64 c (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) a) b) (*.f64 c (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (*.f64 b (*.f64 b b))) (*.f64 c (+.f64 (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 a (*.f64 a a))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 c (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)))) b)))))))
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 a c)))
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(*.f64 c (-.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c))) (/.f64 b c)))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c)))
(*.f64 c (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 c (*.f64 c c)))))) (-.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c))) (/.f64 b c))))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c)))
(*.f64 c (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (pow.f64 c #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 c (*.f64 c c)))))) (-.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c))) (/.f64 b c)))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 a c))))
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))
(*.f64 (-.f64 #s(literal 0 binary64) c) (+.f64 (/.f64 b c) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))))))
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(*.f64 (-.f64 #s(literal 0 binary64) c) (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))) (/.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))))) b) c)))
(* -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))))))
(*.f64 (-.f64 #s(literal 0 binary64) c) (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))))) c)) b) c)))

eval229.0ms (1.8%)

Compiler

Compiled 41756 to 3654 computations (91.2% saved)

prune168.0ms (1.3%)

Pruning

32 alts after pruning (32 fresh and 0 done)

PrunedKeptTotal
New1430251455
Fresh4711
Picked505
Done000
Total1439321471
Accuracy
88.4%
Counts
1471 → 32
Alt Table
Click to see full alt table
StatusAccuracyProgram
33.2%
(/.f64 (/.f64 (-.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))) (*.f64 b b)) (*.f64 a #s(literal -2 binary64))) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) b))
3.2%
(/.f64 (-.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b b)) (*.f64 (*.f64 a #s(literal -2 binary64)) (*.f64 (/.f64 (*.f64 a c) b) #s(literal -2 binary64))))
5.3%
(/.f64 (-.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b b)) (*.f64 (*.f64 a #s(literal -2 binary64)) (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b))))
23.8%
(/.f64 (-.f64 (*.f64 a (/.f64 (+.f64 c (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) b)) b) a)
25.8%
(/.f64 (-.f64 (*.f64 a (+.f64 (/.f64 c b) (/.f64 (/.f64 a (/.f64 b (/.f64 (*.f64 c c) b))) b))) b) a)
13.4%
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (/.f64 b a) b) a)) (/.f64 b a))
46.7%
(/.f64 (+.f64 b (sqrt.f64 (*.f64 c (+.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 (*.f64 b b) c))))) (*.f64 a #s(literal -2 binary64)))
36.1%
(/.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64)))
9.4%
(/.f64 (*.f64 (+.f64 (/.f64 (/.f64 (*.f64 (*.f64 c c) c) (*.f64 b (*.f64 b b))) (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 a a) a))) b) (+.f64 (/.f64 (/.f64 c (*.f64 b b)) (/.f64 (*.f64 b b) c)) (*.f64 (/.f64 #s(literal -1 binary64) a) (-.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 c (*.f64 b b))))))
33.9%
(/.f64 (*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (*.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))) (*.f64 a #s(literal -2 binary64)))
45.7%
(/.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64)) (*.f64 (*.f64 a #s(literal -2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)))
27.0%
(/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal 2 binary64))) (*.f64 a #s(literal -2 binary64)))
▶11.6%
(/.f64 c b)
31.2%
(/.f64 b (neg.f64 a))
31.6%
(/.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 b #s(literal 1/2 binary64)) c))
▶24.7%
(/.f64 #s(literal -1/2 binary64) (/.f64 a (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a c)) b)))
▶11.5%
(/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)))))
36.1%
(/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64))))))
31.7%
(/.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) c)))))
31.2%
(/.f64 #s(literal -1 binary64) (/.f64 a b))
31.4%
(-.f64 (/.f64 c b) (/.f64 b a))
31.9%
(-.f64 #s(literal 0 binary64) (/.f64 c b))
14.6%
(-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 a b)) #s(literal -1 binary64))))
▶52.2%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))
31.2%
(*.f64 (/.f64 #s(literal -1 binary64) a) b)
9.4%
(*.f64 b (/.f64 (+.f64 (*.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 (*.f64 b b) c) #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 b b) c) a)))
11.6%
(*.f64 b (/.f64 c (*.f64 b b)))
29.1%
(*.f64 b (+.f64 (/.f64 c (exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 b)))) (/.f64 #s(literal -1 binary64) a)))
31.3%
(*.f64 b (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 c b))) (/.f64 #s(literal -1 binary64) a)))
▶29.6%
(*.f64 b (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (pow.f64 (/.f64 #s(literal 1 binary64) c) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) a)))
24.4%
(*.f64 b (*.f64 (-.f64 (/.f64 (/.f64 c (*.f64 b b)) (/.f64 (*.f64 b b) c)) (/.f64 #s(literal 1 binary64) (*.f64 a a))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal 1 binary64) a)))))
26.2%
(*.f64 b (*.f64 c (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (/.f64 #s(literal -1 binary64) (*.f64 a c)))))
Compiler

Compiled 1272 to 754 computations (40.7% saved)

simplify220.0ms (1.7%)

Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (pow.f64 (/.f64 #s(literal 1 binary64) c) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) a))
✓cost-diff128
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (pow.f64 (/.f64 #s(literal 1 binary64) c) #s(literal -1 binary64)))
✓cost-diff256
(*.f64 b (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (pow.f64 (/.f64 #s(literal 1 binary64) c) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) a)))
✓cost-diff6592
(pow.f64 (/.f64 #s(literal 1 binary64) c) #s(literal -1 binary64))
✓cost-diff128
(/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)))))
✓cost-diff256
(+.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)))
✓cost-diff256
(/.f64 a (+.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b))))
✓cost-diff384
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b))
✓cost-diff0
(*.f64 #s(literal 2 binary64) (*.f64 a c))
✓cost-diff0
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a c)) b)
✓cost-diff128
(/.f64 #s(literal -1/2 binary64) (/.f64 a (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a c)) b)))
✓cost-diff256
(/.f64 a (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a c)) b))
✓cost-diff0
(/.f64 c b)
✓cost-diff0
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))
✓cost-diff0
(+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))
✓cost-diff0
(/.f64 #s(literal -1/2 binary64) a)
✓cost-diff0
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))
Rules
3910×*-lowering-*.f32
3910×*-lowering-*.f64
1692×/-lowering-/.f32
1692×/-lowering-/.f64
1166×+-lowering-+.f64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
039231
1100215
2278211
3869190
43389186
57414186
08031186
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (/ -1/2 a) (+ b (sqrt (+ (* b b) (* a (* c -4))))))
(/ -1/2 a)
-1/2
a
(+ b (sqrt (+ (* b b) (* a (* c -4)))))
b
(sqrt (+ (* b b) (* a (* c -4))))
(+ (* b b) (* a (* c -4)))
(* b b)
(* a (* c -4))
(* c -4)
c
-4
(/ c b)
c
b
(/ -1/2 (/ a (/ (* 2 (* a c)) b)))
-1/2
(/ a (/ (* 2 (* a c)) b))
a
(/ (* 2 (* a c)) b)
(* 2 (* a c))
2
(* a c)
c
b
(/ -1/2 (/ a (+ b (* (+ 1 (/ (* (* a c) -2) (* b b))) (- 0 b)))))
-1/2
(/ a (+ b (* (+ 1 (/ (* (* a c) -2) (* b b))) (- 0 b))))
a
(+ b (* (+ 1 (/ (* (* a c) -2) (* b b))) (- 0 b)))
b
(* (+ 1 (/ (* (* a c) -2) (* b b))) (- 0 b))
(+ 1 (/ (* (* a c) -2) (* b b)))
1
(/ (* (* a c) -2) (* b b))
(* (* a c) -2)
(* a c)
c
-2
(* b b)
(- 0 b)
0
(* b (+ (* (/ 1 (* b b)) (pow (/ 1 c) -1)) (/ -1 a)))
b
(+ (* (/ 1 (* b b)) (pow (/ 1 c) -1)) (/ -1 a))
(* (/ 1 (* b b)) (pow (/ 1 c) -1))
(/ 1 (* b b))
1
(* b b)
(pow (/ 1 c) -1)
(/ 1 c)
c
-1
(/ -1 a)
a
Outputs
(* (/ -1/2 a) (+ b (sqrt (+ (* b b) (* a (* c -4))))))
(/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))) a)
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
-1/2
#s(literal -1/2 binary64)
a
(+ b (sqrt (+ (* b b) (* a (* c -4)))))
(+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))
b
(sqrt (+ (* b b) (* a (* c -4))))
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))
(+ (* b b) (* a (* c -4)))
(+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))
(* b b)
(*.f64 b b)
(* a (* c -4))
(*.f64 a (*.f64 c #s(literal -4 binary64)))
(* c -4)
(*.f64 c #s(literal -4 binary64))
c
-4
#s(literal -4 binary64)
(/ c b)
(/.f64 c b)
c
b
(/ -1/2 (/ a (/ (* 2 (* a c)) b)))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
-1/2
#s(literal -1/2 binary64)
(/ a (/ (* 2 (* a c)) b))
(/.f64 b (*.f64 c #s(literal 2 binary64)))
a
(/ (* 2 (* a c)) b)
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 a c) b))
(* 2 (* a c))
(*.f64 a (*.f64 c #s(literal 2 binary64)))
2
#s(literal 2 binary64)
(* a c)
(*.f64 a c)
c
b
(/ -1/2 (/ a (+ b (* (+ 1 (/ (* (* a c) -2) (* b b))) (- 0 b)))))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
-1/2
#s(literal -1/2 binary64)
(/ a (+ b (* (+ 1 (/ (* (* a c) -2) (* b b))) (- 0 b))))
(/.f64 b (*.f64 c #s(literal 2 binary64)))
a
(+ b (* (+ 1 (/ (* (* a c) -2) (* b b))) (- 0 b)))
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 a c) b))
b
(* (+ 1 (/ (* (* a c) -2) (* b b))) (- 0 b))
(-.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 a c) b)) b)
(+ 1 (/ (* (* a c) -2) (* b b)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) b)) b))
1
#s(literal 1 binary64)
(/ (* (* a c) -2) (* b b))
(/.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) b)) b)
(* (* a c) -2)
(*.f64 a (*.f64 c #s(literal -2 binary64)))
(* a c)
(*.f64 a c)
c
-2
#s(literal -2 binary64)
(* b b)
(*.f64 b b)
(- 0 b)
(-.f64 #s(literal 0 binary64) b)
0
#s(literal 0 binary64)
(* b (+ (* (/ 1 (* b b)) (pow (/ 1 c) -1)) (/ -1 a)))
(-.f64 (/.f64 c b) (/.f64 b a))
b
(+ (* (/ 1 (* b b)) (pow (/ 1 c) -1)) (/ -1 a))
(+.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 c (*.f64 b b)))
(* (/ 1 (* b b)) (pow (/ 1 c) -1))
(/.f64 c (*.f64 b b))
(/ 1 (* b b))
(/.f64 #s(literal 1 binary64) (*.f64 b b))
1
#s(literal 1 binary64)
(* b b)
(*.f64 b b)
(pow (/ 1 c) -1)
c
(/ 1 c)
(/.f64 #s(literal 1 binary64) c)
c
-1
#s(literal -1 binary64)
(/ -1 a)
(/.f64 #s(literal -1 binary64) a)
a

localize386.0ms (3%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy99.7%
(pow.f64 (/.f64 #s(literal 1 binary64) c) #s(literal -1 binary64))
✓accuracy99.4%
(/.f64 #s(literal 1 binary64) (*.f64 b b))
✓accuracy92.5%
(*.f64 b (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (pow.f64 (/.f64 #s(literal 1 binary64) c) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) a)))
✓accuracy89.3%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (pow.f64 (/.f64 #s(literal 1 binary64) c) #s(literal -1 binary64)))
✓accuracy94.1%
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b))
✓accuracy85.0%
(/.f64 a (+.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b))))
✓accuracy82.8%
(/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) (*.f64 b b))
✓accuracy62.0%
(+.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)))
✓accuracy100.0%
(*.f64 #s(literal 2 binary64) (*.f64 a c))
✓accuracy99.3%
(/.f64 #s(literal -1/2 binary64) (/.f64 a (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a c)) b)))
✓accuracy91.7%
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a c)) b)
✓accuracy85.0%
(/.f64 a (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a c)) b))
✓accuracy100.0%
(/.f64 c b)
✓accuracy98.4%
(+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))
✓accuracy94.5%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))
✓accuracy82.2%
(+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))
✓accuracy59.4%
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))
Results
142.0ms72×2valid
80.0ms71×1valid
77.0ms107×0valid
20.0ms6×3valid
Compiler

Compiled 295 to 40 computations (86.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 156.0ms
ival-mult: 61.0ms (39% of total)
ival-div: 35.0ms (22.4% of total)
backward-pass: 22.0ms (14.1% of total)
ival-pow: 17.0ms (10.9% of total)
ival-add: 13.0ms (8.3% of total)
ival-sqrt: 4.0ms (2.6% of total)
const: 2.0ms (1.3% of total)
ival-sub: 2.0ms (1.3% of total)

series41.0ms (0.3%)

Counts
20 → 612
Calls
Call 1
Inputs
#<alt (* (/ -1/2 a) (+ b (sqrt (+ (* b b) (* a (* c -4))))))>
#<alt (/ -1/2 a)>
#<alt (+ b (sqrt (+ (* b b) (* a (* c -4)))))>
#<alt (sqrt (+ (* b b) (* a (* c -4))))>
#<alt (/ c b)>
#<alt (/ a (/ (* 2 (* a c)) b))>
#<alt (/ -1/2 (/ a (/ (* 2 (* a c)) b)))>
#<alt (/ (* 2 (* a c)) b)>
#<alt (* 2 (* a c))>
#<alt (* (+ 1 (/ (* (* a c) -2) (* b b))) (- 0 b))>
#<alt (/ a (+ b (* (+ 1 (/ (* (* a c) -2) (* b b))) (- 0 b))))>
#<alt (+ b (* (+ 1 (/ (* (* a c) -2) (* b b))) (- 0 b)))>
#<alt (/ -1/2 (/ a (+ b (* (+ 1 (/ (* (* a c) -2) (* b b))) (- 0 b)))))>
#<alt (pow (/ 1 c) -1)>
#<alt (* b (+ (* (/ 1 (* b b)) (pow (/ 1 c) -1)) (/ -1 a)))>
#<alt (* (/ 1 (* b b)) (pow (/ 1 c) -1))>
#<alt (+ (* (/ 1 (* b b)) (pow (/ 1 c) -1)) (/ -1 a))>
#<alt (+ (* b b) (* a (* c -4)))>
#<alt (/ (* (* a c) -2) (* b b))>
#<alt (/ 1 (* b b))>
Outputs
#<alt (* -1 (/ b a))>
#<alt (/ (+ (* -1 b) (/ (* a c) b)) a)>
#<alt (/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)>
#<alt (/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)>
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))>
#<alt (* -1 (/ b a))>
#<alt (* b (- (/ c (pow b 2)) (/ 1 a)))>
#<alt (* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))>
#<alt (* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))>
#<alt (* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))>
#<alt (* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))>
#<alt (* -1 (/ b a))>
#<alt (+ (* -1 (/ b a)) (/ c b))>
#<alt (+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))>
#<alt (+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))>
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))>
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))>
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#<alt (/ (- (+ (* -1/16 (/ (* (pow b 4) (pow (+ b (* -1 b)) 3)) (* (pow a 3) (pow c 3)))) (* 1/2 b)) (+ (* -1/8 (/ (* (pow b 3) (pow (+ b (* -1 b)) 2)) (* (pow a 2) (pow c 2)))) (* 1/4 (/ (* (pow b 2) (+ b (* -1 b))) (* a c))))) c)>
#<alt (* 1/2 (/ b c))>
#<alt (* -1 (/ (+ (* -1/2 b) (* 1/4 (/ (* (pow b 2) (+ b (* -1 b))) (* a c)))) c))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* 1/8 (/ (* (pow b 3) (pow (+ b (* -1 b)) 2)) (* (pow a 2) c))) (* 1/4 (/ (* (pow b 2) (+ b (* -1 b))) a))) c)) (* -1/2 b)) c))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ (* (pow b 4) (pow (+ b (* -1 b)) 3)) (* (pow a 3) c))) (* 1/8 (/ (* (pow b 3) (pow (+ b (* -1 b)) 2)) (pow a 2)))) c)) (* 1/4 (/ (* (pow b 2) (+ b (* -1 b))) a))) c)) (* -1/2 b)) c))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (+ b (* -1 b))>
#<alt (+ b (+ (* -1 b) (* 2 (/ (* a c) b))))>
#<alt (+ b (+ (* -1 b) (* 2 (/ (* a c) b))))>
#<alt (+ b (+ (* -1 b) (* 2 (/ (* a c) b))))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* a (+ (* -1 (/ b a)) (+ (* 2 (/ c b)) (/ b a))))>
#<alt (* a (+ (* -1 (/ b a)) (+ (* 2 (/ c b)) (/ b a))))>
#<alt (* a (+ (* -1 (/ b a)) (+ (* 2 (/ c b)) (/ b a))))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* -1 (* a (+ (* -2 (/ c b)) (* -1 (/ (+ b (* -1 b)) a)))))>
#<alt (* -1 (* a (+ (* -2 (/ c b)) (* -1 (/ (+ b (* -1 b)) a)))))>
#<alt (* -1 (* a (+ (* -2 (/ c b)) (* -1 (/ (+ b (* -1 b)) a)))))>
#<alt (+ b (* -1 b))>
#<alt (+ b (+ (* -1 b) (* 2 (/ (* a c) b))))>
#<alt (+ b (+ (* -1 b) (* 2 (/ (* a c) b))))>
#<alt (+ b (+ (* -1 b) (* 2 (/ (* a c) b))))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* c (+ (* -1 (/ b c)) (+ (* 2 (/ a b)) (/ b c))))>
#<alt (* c (+ (* -1 (/ b c)) (+ (* 2 (/ a b)) (/ b c))))>
#<alt (* c (+ (* -1 (/ b c)) (+ (* 2 (/ a b)) (/ b c))))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* -1 (* c (+ (* -2 (/ a b)) (* -1 (/ (+ b (* -1 b)) c)))))>
#<alt (* -1 (* c (+ (* -2 (/ a b)) (* -1 (/ (+ b (* -1 b)) c)))))>
#<alt (* -1 (* c (+ (* -2 (/ a b)) (* -1 (/ (+ b (* -1 b)) c)))))>
#<alt (* -1/2 (/ (+ b (* -1 b)) a))>
#<alt (/ (+ (* -1 (/ (* a c) b)) (* -1/2 (+ b (* -1 b)))) a)>
#<alt (/ (+ (* -1 (/ (* a c) b)) (* -1/2 (+ b (* -1 b)))) a)>
#<alt (/ (+ (* -1 (/ (* a c) b)) (* -1/2 (+ b (* -1 b)))) a)>
#<alt (* -1 (/ c b))>
#<alt (+ (* -1 (/ c b)) (* -1/2 (/ (+ b (* -1 b)) a)))>
#<alt (+ (* -1 (/ c b)) (* -1/2 (/ (+ b (* -1 b)) a)))>
#<alt (+ (* -1 (/ c b)) (* -1/2 (/ (+ b (* -1 b)) a)))>
#<alt (* -1 (/ c b))>
#<alt (+ (* -1 (/ c b)) (* -1/2 (/ (+ b (* -1 b)) a)))>
#<alt (+ (* -1 (/ c b)) (* -1/2 (/ (+ b (* -1 b)) a)))>
#<alt (+ (* -1 (/ c b)) (* -1/2 (/ (+ b (* -1 b)) a)))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1/2 (/ (+ b (* -1 b)) a))>
#<alt (+ (* -1 (/ c b)) (* -1/2 (/ (+ b (* -1 b)) a)))>
#<alt (+ (* -1 (/ c b)) (* -1/2 (/ (+ b (* -1 b)) a)))>
#<alt (+ (* -1 (/ c b)) (* -1/2 (/ (+ b (* -1 b)) a)))>
#<alt (* -1 (/ c b))>
#<alt (* c (- (* -1/2 (/ (+ (* -1 (/ b a)) (/ b a)) c)) (/ 1 b)))>
#<alt (* c (- (* -1/2 (/ (+ (* -1 (/ b a)) (/ b a)) c)) (/ 1 b)))>
#<alt (* c (- (* -1/2 (/ (+ (* -1 (/ b a)) (/ b a)) c)) (/ 1 b)))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (* c (+ (* 1/2 (/ (+ (* -1 (/ b a)) (/ b a)) c)) (/ 1 b))))>
#<alt (* -1 (* c (+ (* 1/2 (/ (+ (* -1 (/ b a)) (/ b a)) c)) (/ 1 b))))>
#<alt (* -1 (* c (+ (* 1/2 (/ (+ (* -1 (/ b a)) (/ b a)) c)) (/ 1 b))))>
#<alt c>
#<alt c>
#<alt c>
#<alt c>
#<alt c>
#<alt c>
#<alt c>
#<alt c>
#<alt c>
#<alt c>
#<alt c>
#<alt c>
#<alt (/ c b)>
#<alt (/ (+ c (* -1 (/ (pow b 2) a))) b)>
#<alt (/ (+ c (* -1 (/ (pow b 2) a))) b)>
#<alt (/ (+ c (* -1 (/ (pow b 2) a))) b)>
#<alt (* -1 (/ b a))>
#<alt (* b (- (/ c (pow b 2)) (/ 1 a)))>
#<alt (* b (- (/ c (pow b 2)) (/ 1 a)))>
#<alt (* b (- (/ c (pow b 2)) (/ 1 a)))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))>
#<alt (* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))>
#<alt (* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))>
#<alt (* -1 (/ b a))>
#<alt (+ (* -1 (/ b a)) (/ c b))>
#<alt (+ (* -1 (/ b a)) (/ c b))>
#<alt (+ (* -1 (/ b a)) (/ c b))>
#<alt (/ c b)>
#<alt (* c (+ (* -1 (/ b (* a c))) (/ 1 b)))>
#<alt (* c (+ (* -1 (/ b (* a c))) (/ 1 b)))>
#<alt (* c (+ (* -1 (/ b (* a c))) (/ 1 b)))>
#<alt (/ c b)>
#<alt (* -1 (* c (- (/ b (* a c)) (/ 1 b))))>
#<alt (* -1 (* c (- (/ b (* a c)) (/ 1 b))))>
#<alt (* -1 (* c (- (/ b (* a c)) (/ 1 b))))>
#<alt (* -1 (/ b a))>
#<alt (/ (+ (* -1 b) (/ (* a c) b)) a)>
#<alt (/ (+ (* -1 b) (/ (* a c) b)) a)>
#<alt (/ (+ (* -1 b) (/ (* a c) b)) a)>
#<alt (/ c b)>
#<alt (+ (* -1 (/ b a)) (/ c b))>
#<alt (+ (* -1 (/ b a)) (/ c b))>
#<alt (+ (* -1 (/ b a)) (/ c b))>
#<alt (/ c b)>
#<alt (+ (* -1 (/ b a)) (/ c b))>
#<alt (+ (* -1 (/ b a)) (/ c b))>
#<alt (+ (* -1 (/ b a)) (/ c b))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ (+ c (* -1 (/ (pow b 2) a))) (pow b 2))>
#<alt (/ (+ c (* -1 (/ (pow b 2) a))) (pow b 2))>
#<alt (/ (+ c (* -1 (/ (pow b 2) a))) (pow b 2))>
#<alt (/ -1 a)>
#<alt (- (/ c (pow b 2)) (/ 1 a))>
#<alt (- (/ c (pow b 2)) (/ 1 a))>
#<alt (- (/ c (pow b 2)) (/ 1 a))>
#<alt (/ -1 a)>
#<alt (- (/ c (pow b 2)) (/ 1 a))>
#<alt (- (/ c (pow b 2)) (/ 1 a))>
#<alt (- (/ c (pow b 2)) (/ 1 a))>
#<alt (/ -1 a)>
#<alt (- (/ c (pow b 2)) (/ 1 a))>
#<alt (- (/ c (pow b 2)) (/ 1 a))>
#<alt (- (/ c (pow b 2)) (/ 1 a))>
#<alt (/ c (pow b 2))>
#<alt (* c (- (/ 1 (pow b 2)) (/ 1 (* a c))))>
#<alt (* c (- (/ 1 (pow b 2)) (/ 1 (* a c))))>
#<alt (* c (- (/ 1 (pow b 2)) (/ 1 (* a c))))>
#<alt (/ c (pow b 2))>
#<alt (* -1 (* c (- (/ 1 (* a c)) (/ 1 (pow b 2)))))>
#<alt (* -1 (* c (- (/ 1 (* a c)) (/ 1 (pow b 2)))))>
#<alt (* -1 (* c (- (/ 1 (* a c)) (/ 1 (pow b 2)))))>
#<alt (/ -1 a)>
#<alt (/ (- (/ (* a c) (pow b 2)) 1) a)>
#<alt (/ (- (/ (* a c) (pow b 2)) 1) a)>
#<alt (/ (- (/ (* a c) (pow b 2)) 1) a)>
#<alt (/ c (pow b 2))>
#<alt (- (/ c (pow b 2)) (/ 1 a))>
#<alt (- (/ c (pow b 2)) (/ 1 a))>
#<alt (- (/ c (pow b 2)) (/ 1 a))>
#<alt (/ c (pow b 2))>
#<alt (- (/ c (pow b 2)) (/ 1 a))>
#<alt (- (/ c (pow b 2)) (/ 1 a))>
#<alt (- (/ c (pow b 2)) (/ 1 a))>
#<alt (* -4 (* a c))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (pow b 2)>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (* -4 (* a c))>
#<alt (* a (+ (* -4 c) (/ (pow b 2) a)))>
#<alt (* a (+ (* -4 c) (/ (pow b 2) a)))>
#<alt (* a (+ (* -4 c) (/ (pow b 2) a)))>
#<alt (* -4 (* a c))>
#<alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))>
#<alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))>
#<alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))>
#<alt (pow b 2)>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (* -4 (* a c))>
#<alt (* c (+ (* -4 a) (/ (pow b 2) c)))>
#<alt (* c (+ (* -4 a) (/ (pow b 2) c)))>
#<alt (* c (+ (* -4 a) (/ (pow b 2) c)))>
#<alt (* -4 (* a c))>
#<alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))>
#<alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))>
#<alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (* -2 (/ (* a c) (pow b 2)))>
#<alt (/ 1 (pow b 2))>
#<alt (/ 1 (pow b 2))>
#<alt (/ 1 (pow b 2))>
#<alt (/ 1 (pow b 2))>
#<alt (/ 1 (pow b 2))>
#<alt (/ 1 (pow b 2))>
#<alt (/ 1 (pow b 2))>
#<alt (/ 1 (pow b 2))>
#<alt (/ 1 (pow b 2))>
#<alt (/ 1 (pow b 2))>
#<alt (/ 1 (pow b 2))>
#<alt (/ 1 (pow b 2))>
Calls

153 calls:

TimeVariablePointExpression
3.0ms
a
@0
(* 2 (* a c))
2.0ms
a
@0
(/ (* (* a c) -2) (* b b))
1.0ms
b
@0
(/ a (+ b (* (+ 1 (/ (* (* a c) -2) (* b b))) (- 0 b))))
1.0ms
b
@inf
(/ a (+ b (* (+ 1 (/ (* (* a c) -2) (* b b))) (- 0 b))))
1.0ms
b
@0
(* (+ 1 (/ (* (* a c) -2) (* b b))) (- 0 b))

rewrite345.0ms (2.7%)

Algorithm
1×batch-egg-rewrite
Rules
2690×/-lowering-/.f32
2690×/-lowering-/.f64
2634×*-lowering-*.f32
2634×*-lowering-*.f64
2444×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
039192
1240166
22350162
08955162
Stop Event
1×iter limit
1×node limit
Counts
20 → 705
Calls
Call 1
Inputs
(* (/ -1/2 a) (+ b (sqrt (+ (* b b) (* a (* c -4))))))
(/ -1/2 a)
(+ b (sqrt (+ (* b b) (* a (* c -4)))))
(sqrt (+ (* b b) (* a (* c -4))))
(/ c b)
(/ a (/ (* 2 (* a c)) b))
(/ -1/2 (/ a (/ (* 2 (* a c)) b)))
(/ (* 2 (* a c)) b)
(* 2 (* a c))
(* (+ 1 (/ (* (* a c) -2) (* b b))) (- 0 b))
(/ a (+ b (* (+ 1 (/ (* (* a c) -2) (* b b))) (- 0 b))))
(+ b (* (+ 1 (/ (* (* a c) -2) (* b b))) (- 0 b)))
(/ -1/2 (/ a (+ b (* (+ 1 (/ (* (* a c) -2) (* b b))) (- 0 b)))))
(pow (/ 1 c) -1)
(* b (+ (* (/ 1 (* b b)) (pow (/ 1 c) -1)) (/ -1 a)))
(* (/ 1 (* b b)) (pow (/ 1 c) -1))
(+ (* (/ 1 (* b b)) (pow (/ 1 c) -1)) (/ -1 a))
(+ (* b b) (* a (* c -4)))
(/ (* (* a c) -2) (* b b))
(/ 1 (* b b))
Outputs
(+.f64 (/.f64 b (/.f64 a #s(literal -1/2 binary64))) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) (/.f64 a #s(literal -1/2 binary64))))
(+.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) (/.f64 a #s(literal -1/2 binary64))) (/.f64 b (/.f64 a #s(literal -1/2 binary64))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) b) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) (/.f64 a #s(literal -1/2 binary64))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) (/.f64 b (/.f64 a #s(literal -1/2 binary64))))
(fma.f64 (/.f64 #s(literal -1/2 binary64) a) b (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) (/.f64 a #s(literal -1/2 binary64))))
(fma.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) (/.f64 b (/.f64 a #s(literal -1/2 binary64))))
(fma.f64 b (/.f64 #s(literal -1/2 binary64) a) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) (/.f64 a #s(literal -1/2 binary64))))
(fma.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) (/.f64 #s(literal -1/2 binary64) a) (/.f64 b (/.f64 a #s(literal -1/2 binary64))))
(fma.f64 (*.f64 b #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) a) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) (/.f64 a #s(literal -1/2 binary64))))
(fma.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) a) (/.f64 b (/.f64 a #s(literal -1/2 binary64))))
(/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) (/.f64 a #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 a (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))))))
(/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))) a)
(/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))) #s(literal 3/2 binary64)))) (*.f64 a (-.f64 (+.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) (*.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))))))
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) (*.f64 a (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))) #s(literal 3/2 binary64)))) (*.f64 (/.f64 a #s(literal -1/2 binary64)) (-.f64 (+.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) (*.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) (*.f64 (/.f64 a #s(literal -1/2 binary64)) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))) #s(literal 3/2 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 (+.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) (*.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) (*.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))))
(/.f64 (*.f64 (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))) #s(literal 3/2 binary64))) #s(literal -1/2 binary64)) (*.f64 (-.f64 (+.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) (*.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))) a))
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(/.f64 (neg.f64 (neg.f64 (+.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) (*.f64 a c))) #s(literal -64 binary64))))) (neg.f64 (neg.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64))))) (neg.f64 (neg.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)) (*.f64 b (*.f64 b (*.f64 b b))))) (neg.f64 (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))
(pow.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) #s(literal 2 binary64))
(pow.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))) #s(literal 1 binary64))
(pow.f64 (*.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))) (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) #s(literal 1/2 binary64))
(pow.f64 (/.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b)))) (+.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) (*.f64 a c))) #s(literal -64 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))) (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)))) #s(literal -1 binary64))
(*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))
(*.f64 (+.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) (*.f64 a c))) #s(literal -64 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))))
(*.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))
(*.f64 (pow.f64 (+.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) (*.f64 a c))) #s(literal -64 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -2 binary64) c)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a c)) (*.f64 b b)))
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a c)) b) (-.f64 #s(literal 0 binary64) b))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -2 binary64) c))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -2 binary64) c))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) b))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -2 binary64) c))))))
(/.f64 (*.f64 a (*.f64 #s(literal -2 binary64) c)) (*.f64 b b))
(/.f64 (*.f64 a (*.f64 #s(literal -2 binary64) c)) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -2 binary64) c)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -2 binary64) c))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 b (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) b)))))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a c)) (-.f64 #s(literal 0 binary64) (*.f64 b b)))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a c)) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)))))
(/.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) b)) b)
(/.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) b)) (neg.f64 (-.f64 #s(literal 0 binary64) b)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 a (*.f64 #s(literal -2 binary64) c))) (*.f64 b b))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 a c))) (-.f64 #s(literal 0 binary64) (*.f64 b b)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) b))) b)
(/.f64 (*.f64 (*.f64 a (*.f64 #s(literal -2 binary64) c)) #s(literal 1 binary64)) (*.f64 b b))
(/.f64 (*.f64 (*.f64 a (*.f64 #s(literal -2 binary64) c)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 b b)))
(/.f64 (*.f64 (/.f64 (*.f64 a c) b) #s(literal -2 binary64)) b)
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 a (*.f64 #s(literal -2 binary64) c)))) (-.f64 #s(literal 0 binary64) (*.f64 b b)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 a c)))) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) b)))) (-.f64 #s(literal 0 binary64) b))
(/.f64 (neg.f64 (*.f64 (*.f64 a (*.f64 #s(literal -2 binary64) c)) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 b b)))
(/.f64 (neg.f64 (*.f64 (*.f64 a (*.f64 #s(literal -2 binary64) c)) #s(literal -1 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b))))
(/.f64 (neg.f64 (*.f64 (/.f64 (*.f64 a c) b) #s(literal -2 binary64))) (-.f64 #s(literal 0 binary64) b))
(pow.f64 (/.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -2 binary64) c))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -2 binary64) c))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 b (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) b))) #s(literal -1 binary64))
(*.f64 a (*.f64 c (/.f64 #s(literal -2 binary64) (*.f64 b b))))
(*.f64 a (*.f64 (*.f64 #s(literal -2 binary64) c) (/.f64 #s(literal 1 binary64) (*.f64 b b))))
(*.f64 a (/.f64 (*.f64 #s(literal -2 binary64) c) (*.f64 b b)))
(*.f64 (*.f64 a c) (/.f64 #s(literal -2 binary64) (*.f64 b b)))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 #s(literal -2 binary64) c)) (*.f64 b b)))
(*.f64 #s(literal -2 binary64) (*.f64 (*.f64 a c) (/.f64 #s(literal 1 binary64) (*.f64 b b))))
(*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) (*.f64 b b)))
(*.f64 (*.f64 a (*.f64 #s(literal -2 binary64) c)) (/.f64 #s(literal 1 binary64) (*.f64 b b)))
(*.f64 (/.f64 (*.f64 a (*.f64 #s(literal -2 binary64) c)) (*.f64 b b)) #s(literal 1 binary64))
(*.f64 c (*.f64 a (/.f64 #s(literal -2 binary64) (*.f64 b b))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (*.f64 a (*.f64 #s(literal -2 binary64) c)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 a c))) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) (*.f64 a c)) (/.f64 #s(literal -1 binary64) (*.f64 b b)))
(*.f64 (/.f64 (*.f64 a c) b) (/.f64 #s(literal -2 binary64) b))
(*.f64 (/.f64 #s(literal -2 binary64) b) (/.f64 (*.f64 a c) b))
(*.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) b)))
(*.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) b)) (/.f64 #s(literal 1 binary64) b))
(*.f64 (/.f64 #s(literal -2 binary64) (*.f64 b b)) (*.f64 a c))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 a (*.f64 #s(literal -2 binary64) c))) (/.f64 #s(literal 1 binary64) (*.f64 b b)))
(*.f64 (*.f64 (*.f64 a (*.f64 #s(literal -2 binary64) c)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 b b)))
(*.f64 (/.f64 a b) (/.f64 (*.f64 #s(literal -2 binary64) c) b))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 a c)) (/.f64 #s(literal -2 binary64) (*.f64 b b)))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 a c) b)) (/.f64 #s(literal -2 binary64) b))
(*.f64 (pow.f64 (/.f64 b a) #s(literal -1 binary64)) (pow.f64 (/.f64 b (*.f64 #s(literal -2 binary64) c)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 b)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 b) #s(literal -2 binary64)))
(exp.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (log.f64 b))))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 b b)))
(/.f64 #s(literal 1 binary64) (*.f64 b b))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b))))
(/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 #s(literal 1 binary64) b)))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b b)))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 b (/.f64 #s(literal 1 binary64) b))))
(/.f64 (/.f64 #s(literal 1 binary64) b) b)
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) b)) (-.f64 #s(literal 0 binary64) b))
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) b))) (neg.f64 (-.f64 #s(literal 0 binary64) b)))
(pow.f64 b #s(literal -2 binary64))
(pow.f64 (*.f64 b b) #s(literal -1 binary64))
(pow.f64 (*.f64 b (*.f64 b (*.f64 b b))) #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 2 binary64))
(pow.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b))) #s(literal -1 binary64))
(pow.f64 (/.f64 b (/.f64 #s(literal 1 binary64) b)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b b)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 b b)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) b))

simplify342.0ms (2.7%)

Algorithm
1×egg-herbie
Rules
6668×*-lowering-*.f32
6668×*-lowering-*.f64
3524×+-lowering-+.f64
3524×+-lowering-+.f32
1640×fma-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
07176548
125185689
090435689
Stop Event
1×iter limit
1×node limit
Counts
612 → 612
Calls
Call 1
Inputs
(* -1 (/ b a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))
(* -1 (/ b a))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))
(* -1 (/ c b))
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))
(* -1 (/ b a))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))
(* (sqrt (/ c a)) (sqrt -1))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)))))
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(* (sqrt (* a c)) (sqrt -4))
(+ b (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (+ 1 (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (+ 1 (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))) (* (sqrt (* a c)) (sqrt -4)))
(* 2 b)
(* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* 2 (/ (* a c) b))
(* -1 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))
(* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b))
(* 2 b)
(+ (* -2 (/ (* a c) b)) (* 2 b))
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* 2 b)
(+ (* -2 (/ (* a c) b)) (* 2 b))
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
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b
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b
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b
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(* 2 (/ (* a c) b))
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(/ (+ (* -1 (pow b 2)) (* 2 (* a c))) b)
(/ (+ (* -1 (pow b 2)) (* 2 (* a c))) b)
(/ (+ (* -1 (pow b 2)) (* 2 (* a c))) b)
(* -1 b)
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(* b (- (* 2 (/ (* a c) (pow b 2))) 1))
(* b (- (* 2 (/ (* a c) (pow b 2))) 1))
(* -1 b)
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(/ a (+ b (* -1 b)))
(* a (+ (* -2 (/ (* a c) (* b (pow (+ b (* -1 b)) 2)))) (/ 1 (+ b (* -1 b)))))
(* a (+ (* a (- (* 4 (/ (* a (pow c 2)) (* (pow b 2) (pow (+ b (* -1 b)) 3)))) (* 2 (/ c (* b (pow (+ b (* -1 b)) 2)))))) (/ 1 (+ b (* -1 b)))))
(* a (+ (* a (- (* a (- (* -8 (/ (* a (pow c 3)) (* (pow b 3) (pow (+ b (* -1 b)) 4)))) (* -4 (/ (pow c 2) (* (pow b 2) (pow (+ b (* -1 b)) 3)))))) (* 2 (/ c (* b (pow (+ b (* -1 b)) 2)))))) (/ 1 (+ b (* -1 b)))))
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(+ (* -1/4 (/ (* (pow b 2) (+ b (* -1 b))) (* a (pow c 2)))) (* 1/2 (/ b c)))
(- (+ (* 1/8 (/ (* (pow b 3) (pow (+ b (* -1 b)) 2)) (* (pow a 2) (pow c 3)))) (* 1/2 (/ b c))) (* 1/4 (/ (* (pow b 2) (+ b (* -1 b))) (* a (pow c 2)))))
(- (+ (* -1/16 (/ (* (pow b 4) (pow (+ b (* -1 b)) 3)) (* (pow a 3) (pow c 4)))) (* 1/2 (/ b c))) (+ (* -1/8 (/ (* (pow b 3) (pow (+ b (* -1 b)) 2)) (* (pow a 2) (pow c 3)))) (* 1/4 (/ (* (pow b 2) (+ b (* -1 b))) (* a (pow c 2))))))
(* 1/2 (/ b c))
(+ (* -1/4 (/ (* (pow b 2) (+ b (* -1 b))) (* a (pow c 2)))) (* 1/2 (/ b c)))
(+ (* -1 (/ (- (* -1/8 (/ (* (pow b 3) (pow (+ b (* -1 b)) 2)) (* a (pow c 3)))) (* -1/4 (/ (* (pow b 2) (+ b (* -1 b))) (pow c 2)))) a)) (* 1/2 (/ b c)))
(+ (* -1 (/ (- (* -1 (/ (- (* -1/16 (/ (* (pow b 4) (pow (+ b (* -1 b)) 3)) (* a (pow c 4)))) (* -1/8 (/ (* (pow b 3) (pow (+ b (* -1 b)) 2)) (pow c 3)))) a)) (* -1/4 (/ (* (pow b 2) (+ b (* -1 b))) (pow c 2)))) a)) (* 1/2 (/ b c)))
(* 1/2 (/ b c))
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(/ a (+ b (* -1 b)))
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c
c
c
c
c
c
c
c
c
c
c
c
(/ c b)
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(* -4 (* a c))
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(pow b 2)
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(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* -4 (* a c))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* -4 (* a c))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* -4 (* a c))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* -4 (* a c))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(/ 1 (pow b 2))
(/ 1 (pow b 2))
(/ 1 (pow b 2))
(/ 1 (pow b 2))
(/ 1 (pow b 2))
(/ 1 (pow b 2))
(/ 1 (pow b 2))
(/ 1 (pow b 2))
(/ 1 (pow b 2))
(/ 1 (pow b 2))
(/ 1 (pow b 2))
(/ 1 (pow b 2))
Outputs
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/.f64 (-.f64 (*.f64 a (/.f64 c b)) b) a)
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/.f64 (-.f64 (*.f64 a (+.f64 (/.f64 c b) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b b))))) b) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)
(/.f64 (-.f64 (*.f64 a (+.f64 (/.f64 c b) (*.f64 a (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a (*.f64 c (*.f64 c c)))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))))))) b) a)
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -1/2 binary64)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c))))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) #s(literal -1/4 binary64))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c))))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) #s(literal -1/4 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c c) (*.f64 c (pow.f64 a #s(literal 5 binary64)))))) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1/16 binary64)))))
(* (sqrt (/ c a)) (sqrt -1))
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(+.f64 (/.f64 (*.f64 b #s(literal -1/2 binary64)) a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))))) (*.f64 b #s(literal 1/2 binary64))) a))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (-.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 (+.f64 (*.f64 #s(literal -1/128 binary64) (*.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c)))))))) (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 (/.f64 a c)) #s(literal 1/8 binary64)))) a)) a))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -1/2 binary64)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -1/2 binary64))) (*.f64 b (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c))))) (*.f64 (/.f64 b (sqrt.f64 #s(literal -4 binary64))) #s(literal -1/4 binary64))) (/.f64 #s(literal -1/2 binary64) a))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))
(+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -1/2 binary64))) (*.f64 b (+.f64 (*.f64 b (+.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c)))))) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c c) (*.f64 c (pow.f64 a #s(literal 5 binary64)))))) (*.f64 (/.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1/16 binary64))))) (/.f64 #s(literal -1/2 binary64) a))))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a)))
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))
(*.f64 b (+.f64 (+.f64 (/.f64 c (*.f64 b b)) (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b #s(literal 4 binary64)))) (/.f64 #s(literal -1 binary64) a)))
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))
(*.f64 b (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a (*.f64 a (*.f64 c (*.f64 c c))))) (pow.f64 b #s(literal 6 binary64))) (+.f64 (+.f64 (/.f64 c (*.f64 b b)) (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b #s(literal 4 binary64)))) (/.f64 #s(literal -1 binary64) a))))
(* -1 (/ c b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))
(/.f64 (+.f64 c (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b))
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))
(/.f64 (+.f64 c (+.f64 (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a (*.f64 a (*.f64 c (*.f64 c c))))) (pow.f64 b #s(literal 4 binary64))))) (-.f64 #s(literal 0 binary64) b))
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))
(/.f64 (+.f64 c (+.f64 (+.f64 (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a (*.f64 a (*.f64 c (*.f64 c c))))) (pow.f64 b #s(literal 4 binary64)))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.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)))))) (-.f64 #s(literal 0 binary64) b))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(+ (* -1 (/ b a)) (/ c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))
(-.f64 (*.f64 c (+.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 a (/.f64 c (*.f64 b (*.f64 b b)))))) (/.f64 b a))
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))
(-.f64 (*.f64 c (+.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 c (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a (*.f64 a c))) (pow.f64 b #s(literal 5 binary64))) (/.f64 a (*.f64 b (*.f64 b b))))))) (/.f64 b a))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -1/2 binary64)))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))
(*.f64 (*.f64 c #s(literal -1/2 binary64)) (+.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (/.f64 (/.f64 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)))))))
(*.f64 c (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (/.f64 (/.f64 b a) c))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a (*.f64 c (*.f64 c c))))))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) #s(literal -1/4 binary64)))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))
(*.f64 c (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (/.f64 (/.f64 b a) c))) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a (*.f64 c (*.f64 c c))))))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) #s(literal -1/4 binary64))) (*.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 5 binary64)))))))))
(* (sqrt (/ c a)) (sqrt -1))
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))
(*.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 b a)) c) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))))) (neg.f64 c))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 (*.f64 b #s(literal -1/2 binary64)) a) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c))))) (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/8 binary64)))) (neg.f64 c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))))) (neg.f64 c))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -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 (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (-.f64 (/.f64 (*.f64 b #s(literal -1/2 binary64)) a) (/.f64 (+.f64 (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 (/.f64 c (*.f64 a (*.f64 a a)))) #s(literal -1/8 binary64))) (*.f64 #s(literal 1/128 binary64) (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (pow.f64 a #s(literal 5 binary64)))))))) c)) c)) (neg.f64 c))
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 a c)))
(+ b (* (sqrt (* a c)) (sqrt -4)))
(+.f64 b (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 a c))))
(+ (* b (+ 1 (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4)))
(+.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 a c))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 (/.f64 b (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/2 binary64))))))
(+ (* 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)))
(+.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 a c))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a (*.f64 c (*.f64 c c))))))))) (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (sqrt.f64 #s(literal -4 binary64))))))))
(* 2 b)
(*.f64 b #s(literal 2 binary64))
(* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))
(*.f64 b (+.f64 #s(literal 2 binary64) (*.f64 a (*.f64 (/.f64 c (*.f64 b b)) #s(literal -2 binary64)))))
(* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(*.f64 b (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 (*.f64 a c) (*.f64 b b)) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (pow.f64 b #s(literal 4 binary64)))))))
(* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(*.f64 b (+.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 (*.f64 a c) (*.f64 b b)) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (pow.f64 b #s(literal 4 binary64))))) (+.f64 (/.f64 (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 a (*.f64 a a))) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 6 binary64))) #s(literal 2 binary64))))
(* 2 (/ (* a c) b))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) c) b)
(* -1 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))
(/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 a c) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 b b)))) b)
(* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))
(/.f64 (+.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 b b)) (*.f64 a c))) (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 a (*.f64 a a))) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))))) (-.f64 #s(literal 0 binary64) b))
(* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b))
(/.f64 (+.f64 (+.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 b b)) (*.f64 a c))) (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 a (*.f64 a a))) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64)))) (pow.f64 b #s(literal 6 binary64)))) (-.f64 #s(literal 0 binary64) b))
(* 2 b)
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(* (sqrt (* a c)) (sqrt -4))
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b
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b
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(* -2 (* (sqrt (* a c)) (sqrt -1)))
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(* (sqrt (* a c)) (sqrt -4))
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(-.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)
(* c (+ (* -1 (/ b (* a c))) (/ 1 b)))
(*.f64 c (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (/.f64 b a) c)))
(* c (+ (* -1 (/ b (* a c))) (/ 1 b)))
(*.f64 c (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (/.f64 b a) c)))
(* c (+ (* -1 (/ b (* a c))) (/ 1 b)))
(*.f64 c (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (/.f64 b a) c)))
(/ c b)
(/.f64 c b)
(* -1 (* c (- (/ b (* a c)) (/ 1 b))))
(*.f64 (+.f64 (/.f64 (/.f64 b a) c) (/.f64 #s(literal -1 binary64) b)) (neg.f64 c))
(* -1 (* c (- (/ b (* a c)) (/ 1 b))))
(*.f64 (+.f64 (/.f64 (/.f64 b a) c) (/.f64 #s(literal -1 binary64) b)) (neg.f64 c))
(* -1 (* c (- (/ b (* a c)) (/ 1 b))))
(*.f64 (+.f64 (/.f64 (/.f64 b a) c) (/.f64 #s(literal -1 binary64) b)) (neg.f64 c))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/.f64 (-.f64 (*.f64 a (/.f64 c b)) b) a)
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/.f64 (-.f64 (*.f64 a (/.f64 c b)) b) a)
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/.f64 (-.f64 (*.f64 a (/.f64 c b)) 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))
(/ c (pow b 2))
(/.f64 c (*.f64 b b))
(/ c (pow b 2))
(/.f64 c (*.f64 b b))
(/ c (pow b 2))
(/.f64 c (*.f64 b b))
(/ c (pow b 2))
(/.f64 c (*.f64 b b))
(/ c (pow b 2))
(/.f64 c (*.f64 b b))
(/ c (pow b 2))
(/.f64 c (*.f64 b b))
(/ c (pow b 2))
(/.f64 c (*.f64 b b))
(/ c (pow b 2))
(/.f64 c (*.f64 b b))
(/ c (pow b 2))
(/.f64 c (*.f64 b b))
(/ c (pow b 2))
(/.f64 c (*.f64 b b))
(/ c (pow b 2))
(/.f64 c (*.f64 b b))
(/ c (pow b 2))
(/.f64 c (*.f64 b b))
(/ c (pow b 2))
(/.f64 c (*.f64 b b))
(/ c (pow b 2))
(/.f64 c (*.f64 b b))
(/ c (pow b 2))
(/.f64 c (*.f64 b b))
(/ c (pow b 2))
(/.f64 c (*.f64 b b))
(/ c (pow b 2))
(/.f64 c (*.f64 b b))
(/ c (pow b 2))
(/.f64 c (*.f64 b b))
(/ c (pow b 2))
(/.f64 c (*.f64 b b))
(/ c (pow b 2))
(/.f64 c (*.f64 b b))
(/ c (pow b 2))
(/.f64 c (*.f64 b b))
(/ c (pow b 2))
(/.f64 c (*.f64 b b))
(/ c (pow b 2))
(/.f64 c (*.f64 b b))
(/ c (pow b 2))
(/.f64 c (*.f64 b b))
(/ c (pow b 2))
(/.f64 c (*.f64 b b))
(/ (+ c (* -1 (/ (pow b 2) a))) (pow b 2))
(/.f64 (-.f64 c (/.f64 (*.f64 b b) a)) (*.f64 b b))
(/ (+ c (* -1 (/ (pow b 2) a))) (pow b 2))
(/.f64 (-.f64 c (/.f64 (*.f64 b b) a)) (*.f64 b b))
(/ (+ c (* -1 (/ (pow b 2) a))) (pow b 2))
(/.f64 (-.f64 c (/.f64 (*.f64 b b) a)) (*.f64 b b))
(/ -1 a)
(/.f64 #s(literal -1 binary64) a)
(- (/ c (pow b 2)) (/ 1 a))
(+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a))
(- (/ c (pow b 2)) (/ 1 a))
(+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a))
(- (/ c (pow b 2)) (/ 1 a))
(+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a))
(/ -1 a)
(/.f64 #s(literal -1 binary64) a)
(- (/ c (pow b 2)) (/ 1 a))
(+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a))
(- (/ c (pow b 2)) (/ 1 a))
(+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a))
(- (/ c (pow b 2)) (/ 1 a))
(+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a))
(/ -1 a)
(/.f64 #s(literal -1 binary64) a)
(- (/ c (pow b 2)) (/ 1 a))
(+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a))
(- (/ c (pow b 2)) (/ 1 a))
(+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a))
(- (/ c (pow b 2)) (/ 1 a))
(+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a))
(/ c (pow b 2))
(/.f64 c (*.f64 b b))
(* c (- (/ 1 (pow b 2)) (/ 1 (* a c))))
(*.f64 c (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (/.f64 #s(literal -1 binary64) (*.f64 a c))))
(* c (- (/ 1 (pow b 2)) (/ 1 (* a c))))
(*.f64 c (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (/.f64 #s(literal -1 binary64) (*.f64 a c))))
(* c (- (/ 1 (pow b 2)) (/ 1 (* a c))))
(*.f64 c (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (/.f64 #s(literal -1 binary64) (*.f64 a c))))
(/ c (pow b 2))
(/.f64 c (*.f64 b b))
(* -1 (* c (- (/ 1 (* a c)) (/ 1 (pow b 2)))))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)) (/.f64 #s(literal -1 binary64) (*.f64 b b))) (neg.f64 c))
(* -1 (* c (- (/ 1 (* a c)) (/ 1 (pow b 2)))))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)) (/.f64 #s(literal -1 binary64) (*.f64 b b))) (neg.f64 c))
(* -1 (* c (- (/ 1 (* a c)) (/ 1 (pow b 2)))))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)) (/.f64 #s(literal -1 binary64) (*.f64 b b))) (neg.f64 c))
(/ -1 a)
(/.f64 #s(literal -1 binary64) a)
(/ (- (/ (* a c) (pow b 2)) 1) a)
(/.f64 (+.f64 (/.f64 (*.f64 a c) (*.f64 b b)) #s(literal -1 binary64)) a)
(/ (- (/ (* a c) (pow b 2)) 1) a)
(/.f64 (+.f64 (/.f64 (*.f64 a c) (*.f64 b b)) #s(literal -1 binary64)) a)
(/ (- (/ (* a c) (pow b 2)) 1) a)
(/.f64 (+.f64 (/.f64 (*.f64 a c) (*.f64 b b)) #s(literal -1 binary64)) a)
(/ c (pow b 2))
(/.f64 c (*.f64 b b))
(- (/ c (pow b 2)) (/ 1 a))
(+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a))
(- (/ c (pow b 2)) (/ 1 a))
(+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a))
(- (/ c (pow b 2)) (/ 1 a))
(+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a))
(/ c (pow b 2))
(/.f64 c (*.f64 b b))
(- (/ c (pow b 2)) (/ 1 a))
(+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a))
(- (/ c (pow b 2)) (/ 1 a))
(+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a))
(- (/ c (pow b 2)) (/ 1 a))
(+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a))
(* -4 (* a c))
(*.f64 a (*.f64 c #s(literal -4 binary64)))
(+ (* -4 (* a c)) (pow b 2))
(+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))
(+ (* -4 (* a c)) (pow b 2))
(+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))
(+ (* -4 (* a c)) (pow b 2))
(+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b))))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b))))
(pow b 2)
(*.f64 b b)
(+ (* -4 (* a c)) (pow b 2))
(+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))
(+ (* -4 (* a c)) (pow b 2))
(+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))
(+ (* -4 (* a c)) (pow b 2))
(+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))
(* -4 (* a c))
(*.f64 a (*.f64 c #s(literal -4 binary64)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(*.f64 a (+.f64 (/.f64 (*.f64 b b) a) (*.f64 c #s(literal -4 binary64))))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(*.f64 a (+.f64 (/.f64 (*.f64 b b) a) (*.f64 c #s(literal -4 binary64))))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(*.f64 a (+.f64 (/.f64 (*.f64 b b) a) (*.f64 c #s(literal -4 binary64))))
(* -4 (* a c))
(*.f64 a (*.f64 c #s(literal -4 binary64)))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(*.f64 (-.f64 (*.f64 c #s(literal 4 binary64)) (/.f64 (*.f64 b b) a)) (neg.f64 a))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(*.f64 (-.f64 (*.f64 c #s(literal 4 binary64)) (/.f64 (*.f64 b b) a)) (neg.f64 a))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(*.f64 (-.f64 (*.f64 c #s(literal 4 binary64)) (/.f64 (*.f64 b b) a)) (neg.f64 a))
(pow b 2)
(*.f64 b b)
(+ (* -4 (* a c)) (pow b 2))
(+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))
(+ (* -4 (* a c)) (pow b 2))
(+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))
(+ (* -4 (* a c)) (pow b 2))
(+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))
(* -4 (* a c))
(*.f64 a (*.f64 c #s(literal -4 binary64)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(*.f64 c (+.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 (*.f64 b b) c)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(*.f64 c (+.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 (*.f64 b b) c)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(*.f64 c (+.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 (*.f64 b b) c)))
(* -4 (* a c))
(*.f64 a (*.f64 c #s(literal -4 binary64)))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(*.f64 (-.f64 (*.f64 a #s(literal 4 binary64)) (/.f64 (*.f64 b b) c)) (neg.f64 c))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(*.f64 (-.f64 (*.f64 a #s(literal 4 binary64)) (/.f64 (*.f64 b b) c)) (neg.f64 c))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(*.f64 (-.f64 (*.f64 a #s(literal 4 binary64)) (/.f64 (*.f64 b b) c)) (neg.f64 c))
(* -2 (/ (* a c) (pow b 2)))
(*.f64 a (*.f64 (/.f64 c (*.f64 b b)) #s(literal -2 binary64)))
(* -2 (/ (* a c) (pow b 2)))
(*.f64 a (*.f64 (/.f64 c (*.f64 b b)) #s(literal -2 binary64)))
(* -2 (/ (* a c) (pow b 2)))
(*.f64 a (*.f64 (/.f64 c (*.f64 b b)) #s(literal -2 binary64)))
(* -2 (/ (* a c) (pow b 2)))
(*.f64 a (*.f64 (/.f64 c (*.f64 b b)) #s(literal -2 binary64)))
(* -2 (/ (* a c) (pow b 2)))
(*.f64 a (*.f64 (/.f64 c (*.f64 b b)) #s(literal -2 binary64)))
(* -2 (/ (* a c) (pow b 2)))
(*.f64 a (*.f64 (/.f64 c (*.f64 b b)) #s(literal -2 binary64)))
(* -2 (/ (* a c) (pow b 2)))
(*.f64 a (*.f64 (/.f64 c (*.f64 b b)) #s(literal -2 binary64)))
(* -2 (/ (* a c) (pow b 2)))
(*.f64 a (*.f64 (/.f64 c (*.f64 b b)) #s(literal -2 binary64)))
(* -2 (/ (* a c) (pow b 2)))
(*.f64 a (*.f64 (/.f64 c (*.f64 b b)) #s(literal -2 binary64)))
(* -2 (/ (* a c) (pow b 2)))
(*.f64 a (*.f64 (/.f64 c (*.f64 b b)) #s(literal -2 binary64)))
(* -2 (/ (* a c) (pow b 2)))
(*.f64 a (*.f64 (/.f64 c (*.f64 b b)) #s(literal -2 binary64)))
(* -2 (/ (* a c) (pow b 2)))
(*.f64 a (*.f64 (/.f64 c (*.f64 b b)) #s(literal -2 binary64)))
(* -2 (/ (* a c) (pow b 2)))
(*.f64 a (*.f64 (/.f64 c (*.f64 b b)) #s(literal -2 binary64)))
(* -2 (/ (* a c) (pow b 2)))
(*.f64 a (*.f64 (/.f64 c (*.f64 b b)) #s(literal -2 binary64)))
(* -2 (/ (* a c) (pow b 2)))
(*.f64 a (*.f64 (/.f64 c (*.f64 b b)) #s(literal -2 binary64)))
(* -2 (/ (* a c) (pow b 2)))
(*.f64 a (*.f64 (/.f64 c (*.f64 b b)) #s(literal -2 binary64)))
(* -2 (/ (* a c) (pow b 2)))
(*.f64 a (*.f64 (/.f64 c (*.f64 b b)) #s(literal -2 binary64)))
(* -2 (/ (* a c) (pow b 2)))
(*.f64 a (*.f64 (/.f64 c (*.f64 b b)) #s(literal -2 binary64)))
(* -2 (/ (* a c) (pow b 2)))
(*.f64 a (*.f64 (/.f64 c (*.f64 b b)) #s(literal -2 binary64)))
(* -2 (/ (* a c) (pow b 2)))
(*.f64 a (*.f64 (/.f64 c (*.f64 b b)) #s(literal -2 binary64)))
(* -2 (/ (* a c) (pow b 2)))
(*.f64 a (*.f64 (/.f64 c (*.f64 b b)) #s(literal -2 binary64)))
(* -2 (/ (* a c) (pow b 2)))
(*.f64 a (*.f64 (/.f64 c (*.f64 b b)) #s(literal -2 binary64)))
(* -2 (/ (* a c) (pow b 2)))
(*.f64 a (*.f64 (/.f64 c (*.f64 b b)) #s(literal -2 binary64)))
(* -2 (/ (* a c) (pow b 2)))
(*.f64 a (*.f64 (/.f64 c (*.f64 b b)) #s(literal -2 binary64)))
(* -2 (/ (* a c) (pow b 2)))
(*.f64 a (*.f64 (/.f64 c (*.f64 b b)) #s(literal -2 binary64)))
(* -2 (/ (* a c) (pow b 2)))
(*.f64 a (*.f64 (/.f64 c (*.f64 b b)) #s(literal -2 binary64)))
(* -2 (/ (* a c) (pow b 2)))
(*.f64 a (*.f64 (/.f64 c (*.f64 b b)) #s(literal -2 binary64)))
(* -2 (/ (* a c) (pow b 2)))
(*.f64 a (*.f64 (/.f64 c (*.f64 b b)) #s(literal -2 binary64)))
(* -2 (/ (* a c) (pow b 2)))
(*.f64 a (*.f64 (/.f64 c (*.f64 b b)) #s(literal -2 binary64)))
(* -2 (/ (* a c) (pow b 2)))
(*.f64 a (*.f64 (/.f64 c (*.f64 b b)) #s(literal -2 binary64)))
(* -2 (/ (* a c) (pow b 2)))
(*.f64 a (*.f64 (/.f64 c (*.f64 b b)) #s(literal -2 binary64)))
(* -2 (/ (* a c) (pow b 2)))
(*.f64 a (*.f64 (/.f64 c (*.f64 b b)) #s(literal -2 binary64)))
(* -2 (/ (* a c) (pow b 2)))
(*.f64 a (*.f64 (/.f64 c (*.f64 b b)) #s(literal -2 binary64)))
(* -2 (/ (* a c) (pow b 2)))
(*.f64 a (*.f64 (/.f64 c (*.f64 b b)) #s(literal -2 binary64)))
(* -2 (/ (* a c) (pow b 2)))
(*.f64 a (*.f64 (/.f64 c (*.f64 b b)) #s(literal -2 binary64)))
(* -2 (/ (* a c) (pow b 2)))
(*.f64 a (*.f64 (/.f64 c (*.f64 b b)) #s(literal -2 binary64)))
(/ 1 (pow b 2))
(/.f64 #s(literal 1 binary64) (*.f64 b b))
(/ 1 (pow b 2))
(/.f64 #s(literal 1 binary64) (*.f64 b b))
(/ 1 (pow b 2))
(/.f64 #s(literal 1 binary64) (*.f64 b b))
(/ 1 (pow b 2))
(/.f64 #s(literal 1 binary64) (*.f64 b b))
(/ 1 (pow b 2))
(/.f64 #s(literal 1 binary64) (*.f64 b b))
(/ 1 (pow b 2))
(/.f64 #s(literal 1 binary64) (*.f64 b b))
(/ 1 (pow b 2))
(/.f64 #s(literal 1 binary64) (*.f64 b b))
(/ 1 (pow b 2))
(/.f64 #s(literal 1 binary64) (*.f64 b b))
(/ 1 (pow b 2))
(/.f64 #s(literal 1 binary64) (*.f64 b b))
(/ 1 (pow b 2))
(/.f64 #s(literal 1 binary64) (*.f64 b b))
(/ 1 (pow b 2))
(/.f64 #s(literal 1 binary64) (*.f64 b b))
(/ 1 (pow b 2))
(/.f64 #s(literal 1 binary64) (*.f64 b b))

eval247.0ms (1.9%)

Compiler

Compiled 27717 to 3253 computations (88.3% saved)

prune208.0ms (1.6%)

Pruning

43 alts after pruning (41 fresh and 2 done)

PrunedKeptTotal
New1300171317
Fresh32427
Picked325
Done000
Total1306431349
Accuracy
88.4%
Counts
1349 → 43
Alt Table
Click to see full alt table
StatusAccuracyProgram
33.2%
(/.f64 (/.f64 (-.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))) (*.f64 b b)) (*.f64 a #s(literal -2 binary64))) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) b))
24.8%
(/.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 b (*.f64 #s(literal 2 binary64) (*.f64 a c))))
3.2%
(/.f64 (-.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b b)) (*.f64 (*.f64 a #s(literal -2 binary64)) (*.f64 (/.f64 (*.f64 a c) b) #s(literal -2 binary64))))
5.3%
(/.f64 (-.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b b)) (*.f64 (*.f64 a #s(literal -2 binary64)) (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b))))
23.8%
(/.f64 (-.f64 (*.f64 a (/.f64 (+.f64 c (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) b)) b) a)
25.8%
(/.f64 (-.f64 (*.f64 a (+.f64 (/.f64 c b) (/.f64 (/.f64 a (/.f64 b (/.f64 (*.f64 c c) b))) b))) b) a)
13.4%
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (/.f64 b a) b) a)) (/.f64 b a))
27.0%
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (/.f64 c b))) a)
▶46.7%
(/.f64 (+.f64 b (sqrt.f64 (*.f64 c (+.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 (*.f64 b b) c))))) (*.f64 a #s(literal -2 binary64)))
36.1%
(/.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64)))
28.5%
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (*.f64 #s(literal 2 binary64) (*.f64 a c))) b)
9.4%
(/.f64 (*.f64 (+.f64 (/.f64 (/.f64 (*.f64 (*.f64 c c) c) (*.f64 b (*.f64 b b))) (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 a a) a))) b) (+.f64 (/.f64 (/.f64 c (*.f64 b b)) (/.f64 (*.f64 b b) c)) (*.f64 (/.f64 #s(literal -1 binary64) a) (-.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 c (*.f64 b b))))))
33.9%
(/.f64 (*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (*.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))) (*.f64 a #s(literal -2 binary64)))
45.7%
(/.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64)) (*.f64 (*.f64 a #s(literal -2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)))
✓11.6%
(/.f64 c b)
31.2%
(/.f64 b (neg.f64 a))
11.6%
(/.f64 #s(literal 1 binary64) (/.f64 b c))
31.6%
(/.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 b #s(literal 1/2 binary64)) c))
1.3%
(/.f64 #s(literal -1/2 binary64) (/.f64 a (/.f64 (+.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 #s(literal -2 binary64) c)) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)) (*.f64 (*.f64 b b) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 #s(literal -2 binary64) c)) (*.f64 b b))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 #s(literal -2 binary64) c)) (*.f64 b b))))))) (+.f64 (*.f64 b b) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 #s(literal -2 binary64) c)) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)) (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 #s(literal -2 binary64) c)) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)) b))))))
12.9%
(/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) c) b))))
36.1%
(/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64))))))
31.7%
(/.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) c)))))
28.3%
(/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 a (*.f64 #s(literal 2 binary64) (*.f64 a c))) b))
31.2%
(/.f64 #s(literal -1 binary64) (/.f64 a b))
31.4%
(-.f64 (/.f64 c b) (/.f64 b a))
31.9%
(-.f64 #s(literal 0 binary64) (/.f64 c b))
14.6%
(-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 a b)) #s(literal -1 binary64))))
24.8%
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a c)) b) (/.f64 #s(literal -1/2 binary64) a))
11.6%
(*.f64 (/.f64 c (*.f64 b b)) b)
✓52.2%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))
▶36.0%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))))
31.2%
(*.f64 (/.f64 #s(literal -1 binary64) a) b)
▶11.6%
(*.f64 (*.f64 b (/.f64 #s(literal 1 binary64) (*.f64 b b))) c)
31.8%
(*.f64 c (+.f64 (/.f64 #s(literal 0 binary64) c) (/.f64 #s(literal -1 binary64) b)))
9.4%
(*.f64 b (/.f64 (+.f64 (*.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 (*.f64 b b) c) #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 b b) c) a)))
29.6%
(*.f64 b (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (/.f64 #s(literal 1 binary64) c)) (/.f64 #s(literal -1 binary64) a)))
31.3%
(*.f64 b (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 b c)) (/.f64 #s(literal -1 binary64) a)))
29.1%
(*.f64 b (+.f64 (/.f64 c (exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 b)))) (/.f64 #s(literal -1 binary64) a)))
31.3%
(*.f64 b (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 c b))) (/.f64 #s(literal -1 binary64) a)))
15.7%
(*.f64 b (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (log.f64 c)))) (/.f64 #s(literal -1 binary64) a)))
▶26.2%
(*.f64 b (*.f64 c (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (/.f64 #s(literal -1 binary64) (*.f64 a c)))))
6.8%
(exp.f64 (*.f64 (log.f64 (/.f64 b c)) #s(literal -1 binary64)))
▶11.8%
#s(literal 0 binary64)
Compiler

Compiled 1625 to 943 computations (42% saved)

simplify235.0ms (1.8%)

Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))
✓cost-diff0
(+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))))
✓cost-diff0
(/.f64 #s(literal -1/2 binary64) a)
✓cost-diff0
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 b b))
✓cost-diff0
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (/.f64 #s(literal -1 binary64) (*.f64 a c)))
✓cost-diff256
(*.f64 c (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (/.f64 #s(literal -1 binary64) (*.f64 a c))))
✓cost-diff256
(*.f64 b (*.f64 c (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (/.f64 #s(literal -1 binary64) (*.f64 a c)))))
✓cost-diff0
(*.f64 b b)
✓cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 b b))
✓cost-diff128
(*.f64 (*.f64 b (/.f64 #s(literal 1 binary64) (*.f64 b b))) c)
✓cost-diff256
(*.f64 b (/.f64 #s(literal 1 binary64) (*.f64 b b)))
✓cost-diff0
(sqrt.f64 (*.f64 c (+.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 (*.f64 b b) c))))
✓cost-diff0
(+.f64 b (sqrt.f64 (*.f64 c (+.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 (*.f64 b b) c)))))
✓cost-diff0
(/.f64 (+.f64 b (sqrt.f64 (*.f64 c (+.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 (*.f64 b b) c))))) (*.f64 a #s(literal -2 binary64)))
✓cost-diff128
(*.f64 c (+.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 (*.f64 b b) c)))
Rules
3966×*-lowering-*.f32
3966×*-lowering-*.f64
2300×/-lowering-/.f32
2300×/-lowering-/.f64
1688×fnmadd-define
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
032185
186183
2201177
3448162
4878161
51828159
63227159
76389159
08066159
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (+ b (sqrt (* c (+ (* a -4) (/ (* b b) c))))) (* a -2))
(+ b (sqrt (* c (+ (* a -4) (/ (* b b) c)))))
b
(sqrt (* c (+ (* a -4) (/ (* b b) c))))
(* c (+ (* a -4) (/ (* b b) c)))
c
(+ (* a -4) (/ (* b b) c))
(* a -4)
a
-4
(/ (* b b) c)
(* b b)
(* a -2)
-2
0
(* (* b (/ 1 (* b b))) c)
(* b (/ 1 (* b b)))
b
(/ 1 (* b b))
1
(* b b)
c
(* b (* c (+ (/ 1 (* b b)) (/ -1 (* a c)))))
b
(* c (+ (/ 1 (* b b)) (/ -1 (* a c))))
c
(+ (/ 1 (* b b)) (/ -1 (* a c)))
(/ 1 (* b b))
1
(* b b)
(/ -1 (* a c))
-1
(* a c)
a
(* (/ -1/2 a) (+ b (sqrt (* a (* c -4)))))
(/ -1/2 a)
-1/2
a
(+ b (sqrt (* a (* c -4))))
b
(sqrt (* a (* c -4)))
(* a (* c -4))
(* c -4)
c
-4
Outputs
(/ (+ b (sqrt (* c (+ (* a -4) (/ (* b b) c))))) (* a -2))
(/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64)))
(+ b (sqrt (* c (+ (* a -4) (/ (* b b) c)))))
(+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))
b
(sqrt (* c (+ (* a -4) (/ (* b b) c))))
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))
(* c (+ (* a -4) (/ (* b b) c)))
(+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))
c
(+ (* a -4) (/ (* b b) c))
(+.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 b (/.f64 c b)))
(* a -4)
(*.f64 a #s(literal -4 binary64))
a
-4
#s(literal -4 binary64)
(/ (* b b) c)
(/.f64 b (/.f64 c b))
(* b b)
(*.f64 b b)
(* a -2)
(*.f64 a #s(literal -2 binary64))
-2
#s(literal -2 binary64)
0
#s(literal 0 binary64)
(* (* b (/ 1 (* b b))) c)
(/.f64 c b)
(* b (/ 1 (* b b)))
(/.f64 #s(literal 1 binary64) b)
b
(/ 1 (* b b))
(/.f64 #s(literal 1 binary64) (*.f64 b b))
1
#s(literal 1 binary64)
(* b b)
(*.f64 b b)
c
(* b (* c (+ (/ 1 (* b b)) (/ -1 (* a c)))))
(-.f64 (/.f64 c b) (/.f64 b a))
b
(* c (+ (/ 1 (* b b)) (/ -1 (* a c))))
(+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a))
c
(+ (/ 1 (* b b)) (/ -1 (* a c)))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (/.f64 #s(literal -1 binary64) (*.f64 c a)))
(/ 1 (* b b))
(/.f64 #s(literal 1 binary64) (*.f64 b b))
1
#s(literal 1 binary64)
(* b b)
(*.f64 b b)
(/ -1 (* a c))
(/.f64 #s(literal -1 binary64) (*.f64 c a))
-1
#s(literal -1 binary64)
(* a c)
(*.f64 c a)
a
(* (/ -1/2 a) (+ b (sqrt (* a (* c -4)))))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))))
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
-1/2
#s(literal -1/2 binary64)
a
(+ b (sqrt (* a (* c -4))))
(+.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))))
b
(sqrt (* a (* c -4)))
(sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))
(* a (* c -4))
(*.f64 c (*.f64 a #s(literal -4 binary64)))
(* c -4)
(*.f64 c #s(literal -4 binary64))
c
-4
#s(literal -4 binary64)

localize239.0ms (1.9%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 a (*.f64 c #s(literal -4 binary64)))
✓accuracy100.0%
(+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))))
✓accuracy99.7%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))))
✓accuracy83.9%
(sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))
✓accuracy99.6%
(/.f64 #s(literal -1 binary64) (*.f64 a c))
✓accuracy99.5%
(/.f64 #s(literal 1 binary64) (*.f64 b b))
✓accuracy92.5%
(*.f64 b (*.f64 c (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (/.f64 #s(literal -1 binary64) (*.f64 a c)))))
✓accuracy91.1%
(*.f64 c (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (/.f64 #s(literal -1 binary64) (*.f64 a c))))
✓accuracy100.0%
(*.f64 b b)
✓accuracy99.9%
(*.f64 (*.f64 b (/.f64 #s(literal 1 binary64) (*.f64 b b))) c)
✓accuracy99.5%
(/.f64 #s(literal 1 binary64) (*.f64 b b))
✓accuracy68.8%
(*.f64 b (/.f64 #s(literal 1 binary64) (*.f64 b b)))
✓accuracy96.0%
(*.f64 c (+.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 (*.f64 b b) c)))
✓accuracy93.5%
(/.f64 (*.f64 b b) c)
✓accuracy90.4%
(+.f64 b (sqrt.f64 (*.f64 c (+.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 (*.f64 b b) c)))))
✓accuracy72.9%
(sqrt.f64 (*.f64 c (+.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 (*.f64 b b) c))))
Results
78.0ms137×0valid
49.0ms80×0invalid
27.0ms20×2valid
27.0ms15×3valid
3.0ms4×1valid
Compiler

Compiled 217 to 33 computations (84.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 87.0ms
ival-mult: 45.0ms (51.9% of total)
ival-div: 13.0ms (15% of total)
ival-sqrt: 11.0ms (12.7% of total)
ival-add: 10.0ms (11.5% of total)
backward-pass: 6.0ms (6.9% of total)
const: 1.0ms (1.2% of total)

series42.0ms (0.3%)

Counts
18 → 492
Calls
Call 1
Inputs
#<alt (* c (+ (* a -4) (/ (* b b) c)))>
#<alt (/ (+ b (sqrt (* c (+ (* a -4) (/ (* b b) c))))) (* a -2))>
#<alt (+ b (sqrt (* c (+ (* a -4) (/ (* b b) c)))))>
#<alt (sqrt (* c (+ (* a -4) (/ (* b b) c))))>
#<alt (* b (/ 1 (* b b)))>
#<alt (* (* b (/ 1 (* b b))) c)>
#<alt (/ 1 (* b b))>
#<alt (* b b)>
#<alt (* b (* c (+ (/ 1 (* b b)) (/ -1 (* a c)))))>
#<alt (* c (+ (/ 1 (* b b)) (/ -1 (* a c))))>
#<alt (+ (/ 1 (* b b)) (/ -1 (* a c)))>
#<alt (* (/ -1/2 a) (+ b (sqrt (* a (* c -4)))))>
#<alt (/ -1/2 a)>
#<alt (+ b (sqrt (* a (* c -4))))>
#<alt (sqrt (* a (* c -4)))>
#<alt (/ (* b b) c)>
#<alt (/ -1 (* a c))>
#<alt (* a (* c -4))>
Outputs
#<alt (pow b 2)>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (* -4 (* a c))>
#<alt (* c (+ (* -4 a) (/ (pow b 2) c)))>
#<alt (* c (+ (* -4 a) (/ (pow b 2) c)))>
#<alt (* c (+ (* -4 a) (/ (pow b 2) c)))>
#<alt (* -4 (* a c))>
#<alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))>
#<alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))>
#<alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))>
#<alt (pow b 2)>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (* -4 (* a c))>
#<alt (* a (+ (* -4 c) (/ (pow b 2) a)))>
#<alt (* a (+ (* -4 c) (/ (pow b 2) a)))>
#<alt (* a (+ (* -4 c) (/ (pow b 2) a)))>
#<alt (* -4 (* a c))>
#<alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))>
#<alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))>
#<alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))>
#<alt (* -4 (* a c))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))>
#<alt (* -1 (/ b a))>
#<alt (* b (- (/ c (pow b 2)) (/ 1 a)))>
#<alt (* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))>
#<alt (* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))>
#<alt (* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))>
#<alt (* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))>
#<alt (* -1 (/ b a))>
#<alt (+ (* -1 (/ b a)) (/ c b))>
#<alt (+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))>
#<alt (+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))>
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))>
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))>
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))>
#<alt (* 1/2 (* (sqrt (/ c a)) (* (sqrt -4) (pow (sqrt -1) 2))))>
#<alt (* -1 (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* (sqrt -4) (pow (sqrt -1) 2)))) (* 1/2 (/ b (* a c))))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (pow (sqrt -1) 2)) (sqrt -4))))) c)) (* -1/2 (* (sqrt (/ 1 (* a c))) (* (sqrt -4) (pow (sqrt -1) 2)))))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (pow (sqrt -1) 2)) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (pow (sqrt -1) 2)) (sqrt -4))))) c)) (* -1/2 (/ b a))) c)) (* -1/2 (* (sqrt (/ 1 (* a c))) (* (sqrt -4) (pow (sqrt -1) 2)))))))>
#<alt (* -1 (/ b a))>
#<alt (/ (+ (* -1 b) (/ (* a c) b)) a)>
#<alt (/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)>
#<alt (/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)>
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))>
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#<alt (* (sqrt (* a c)) (sqrt -4))>
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#<alt (* 2 b)>
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#<alt (* 2 (/ (* a c) b))>
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#<alt (* 2 b)>
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#<alt (+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))>
#<alt b>
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#<alt (/ 1 b)>
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#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (+ b (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ b (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ b (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ b (* (sqrt (* a c)) (sqrt -4)))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))>
#<alt (* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))>
#<alt (* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (/ (pow b 2) c)>
#<alt (/ (pow b 2) c)>
#<alt (/ (pow b 2) c)>
#<alt (/ (pow b 2) c)>
#<alt (/ (pow b 2) c)>
#<alt (/ (pow b 2) c)>
#<alt (/ (pow b 2) c)>
#<alt (/ (pow b 2) c)>
#<alt (/ (pow b 2) c)>
#<alt (/ (pow b 2) c)>
#<alt (/ (pow b 2) c)>
#<alt (/ (pow b 2) c)>
#<alt (/ (pow b 2) c)>
#<alt (/ (pow b 2) c)>
#<alt (/ (pow b 2) c)>
#<alt (/ (pow b 2) c)>
#<alt (/ (pow b 2) c)>
#<alt (/ (pow b 2) c)>
#<alt (/ (pow b 2) c)>
#<alt (/ (pow b 2) c)>
#<alt (/ (pow b 2) c)>
#<alt (/ (pow b 2) c)>
#<alt (/ (pow b 2) c)>
#<alt (/ (pow b 2) c)>
#<alt (/ -1 (* a c))>
#<alt (/ -1 (* a c))>
#<alt (/ -1 (* a c))>
#<alt (/ -1 (* a c))>
#<alt (/ -1 (* a c))>
#<alt (/ -1 (* a c))>
#<alt (/ -1 (* a c))>
#<alt (/ -1 (* a c))>
#<alt (/ -1 (* a c))>
#<alt (/ -1 (* a c))>
#<alt (/ -1 (* a c))>
#<alt (/ -1 (* a c))>
#<alt (/ -1 (* a c))>
#<alt (/ -1 (* a c))>
#<alt (/ -1 (* a c))>
#<alt (/ -1 (* a c))>
#<alt (/ -1 (* a c))>
#<alt (/ -1 (* a c))>
#<alt (/ -1 (* a c))>
#<alt (/ -1 (* a c))>
#<alt (/ -1 (* a c))>
#<alt (/ -1 (* a c))>
#<alt (/ -1 (* a c))>
#<alt (/ -1 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
Calls

123 calls:

TimeVariablePointExpression
11.0ms
b
@inf
(* c (+ (* a -4) (/ (* b b) c)))
3.0ms
c
@-inf
(/ (+ b (sqrt (* c (+ (* a -4) (/ (* b b) c))))) (* a -2))
1.0ms
a
@0
(* (/ -1/2 a) (+ b (sqrt (* a (* c -4)))))
1.0ms
c
@0
(* (/ -1/2 a) (+ b (sqrt (* a (* c -4)))))
1.0ms
c
@-inf
(sqrt (* c (+ (* a -4) (/ (* b b) c))))

rewrite347.0ms (2.7%)

Algorithm
1×batch-egg-rewrite
Rules
3262×*-lowering-*.f32
3262×*-lowering-*.f64
3154×/-lowering-/.f32
3154×/-lowering-/.f64
1962×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
031138
1183138
21869123
09142123
Stop Event
1×iter limit
1×node limit
Counts
18 → 690
Calls
Call 1
Inputs
(* c (+ (* a -4) (/ (* b b) c)))
(/ (+ b (sqrt (* c (+ (* a -4) (/ (* b b) c))))) (* a -2))
(+ b (sqrt (* c (+ (* a -4) (/ (* b b) c)))))
(sqrt (* c (+ (* a -4) (/ (* b b) c))))
(* b (/ 1 (* b b)))
(* (* b (/ 1 (* b b))) c)
(/ 1 (* b b))
(* b b)
(* b (* c (+ (/ 1 (* b b)) (/ -1 (* a c)))))
(* c (+ (/ 1 (* b b)) (/ -1 (* a c))))
(+ (/ 1 (* b b)) (/ -1 (* a c)))
(* (/ -1/2 a) (+ b (sqrt (* a (* c -4)))))
(/ -1/2 a)
(+ b (sqrt (* a (* c -4))))
(sqrt (* a (* c -4)))
(/ (* b b) c)
(/ -1 (* a c))
(* a (* c -4))
Outputs
(+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))
(+.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 b b))
(exp.f64 (log.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) #s(literal 1/2 binary64)))
(fabs.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))
(-.f64 (/.f64 (*.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (-.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 b b))) (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (-.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 b b))))
(sqrt.f64 (*.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))
(fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))
(fma.f64 c (/.f64 (*.f64 b b) c) (*.f64 c (*.f64 a #s(literal -4 binary64))))
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))
(fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 b b))
(fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))
(fma.f64 b (/.f64 b #s(literal 1 binary64)) (*.f64 c (*.f64 a #s(literal -4 binary64))))
(fma.f64 b (*.f64 (/.f64 b c) c) (*.f64 c (*.f64 a #s(literal -4 binary64))))
(fma.f64 (*.f64 b b) #s(literal 1 binary64) (*.f64 c (*.f64 a #s(literal -4 binary64))))
(fma.f64 (/.f64 (*.f64 b b) c) c (*.f64 c (*.f64 a #s(literal -4 binary64))))
(fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))
(fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))
(fma.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))) (*.f64 b b))
(fma.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 (*.f64 c #s(literal -4 binary64)) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 b b))
(fma.f64 (*.f64 c b) (/.f64 b c) (*.f64 c (*.f64 a #s(literal -4 binary64))))
(fma.f64 (*.f64 c (*.f64 b b)) (/.f64 #s(literal 1 binary64) c) (*.f64 c (*.f64 a #s(literal -4 binary64))))
(fma.f64 (sqrt.f64 (*.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) a)) (pow.f64 (*.f64 c #s(literal -4 binary64)) #s(literal 1/2 binary64)) (*.f64 b b))
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal -64 binary64)) (*.f64 c (*.f64 c c))) (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b)))) (+.f64 (*.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (-.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 b b)))))
(/.f64 (-.f64 (*.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (*.f64 (*.f64 b b) (*.f64 b b))) (-.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 b b)))
(/.f64 (*.f64 c (+.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal -64 binary64)) (*.f64 (/.f64 (*.f64 b b) c) (/.f64 (/.f64 (*.f64 b b) c) (/.f64 c (*.f64 b b)))))) (+.f64 (*.f64 (*.f64 a a) #s(literal 16 binary64)) (/.f64 (-.f64 (/.f64 (*.f64 b b) c) (*.f64 a #s(literal -4 binary64))) (/.f64 c (*.f64 b b)))))
(/.f64 (*.f64 c (-.f64 (*.f64 (*.f64 a a) #s(literal 16 binary64)) (/.f64 (/.f64 (*.f64 b b) c) (/.f64 c (*.f64 b b))))) (-.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 (*.f64 b b) c)))
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal -64 binary64)) (*.f64 (/.f64 (*.f64 b b) c) (/.f64 (/.f64 (*.f64 b b) c) (/.f64 c (*.f64 b b))))) c) (+.f64 (*.f64 (*.f64 a a) #s(literal 16 binary64)) (/.f64 (-.f64 (/.f64 (*.f64 b b) c) (*.f64 a #s(literal -4 binary64))) (/.f64 c (*.f64 b b)))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 a a) #s(literal 16 binary64)) (/.f64 (/.f64 (*.f64 b b) c) (/.f64 c (*.f64 b b)))) c) (-.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 (*.f64 b b) c)))
(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal -64 binary64)) (*.f64 c (*.f64 c c))) (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b))))) (neg.f64 (+.f64 (*.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (-.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 b b))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (*.f64 (*.f64 b b) (*.f64 b b)))) (neg.f64 (-.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 b b))))
(/.f64 (neg.f64 (*.f64 c (+.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal -64 binary64)) (*.f64 (/.f64 (*.f64 b b) c) (/.f64 (/.f64 (*.f64 b b) c) (/.f64 c (*.f64 b b))))))) (neg.f64 (+.f64 (*.f64 (*.f64 a a) #s(literal 16 binary64)) (/.f64 (-.f64 (/.f64 (*.f64 b b) c) (*.f64 a #s(literal -4 binary64))) (/.f64 c (*.f64 b b))))))
(/.f64 (neg.f64 (*.f64 c (-.f64 (*.f64 (*.f64 a a) #s(literal 16 binary64)) (/.f64 (/.f64 (*.f64 b b) c) (/.f64 c (*.f64 b b)))))) (neg.f64 (-.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 (*.f64 b b) c))))
(/.f64 (neg.f64 (*.f64 (+.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal -64 binary64)) (*.f64 (/.f64 (*.f64 b b) c) (/.f64 (/.f64 (*.f64 b b) c) (/.f64 c (*.f64 b b))))) c)) (neg.f64 (+.f64 (*.f64 (*.f64 a a) #s(literal 16 binary64)) (/.f64 (-.f64 (/.f64 (*.f64 b b) c) (*.f64 a #s(literal -4 binary64))) (/.f64 c (*.f64 b b))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 (*.f64 a a) #s(literal 16 binary64)) (/.f64 (/.f64 (*.f64 b b) c) (/.f64 c (*.f64 b b)))) c)) (neg.f64 (-.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 (*.f64 b b) c))))
(/.f64 (+.f64 (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b))) (*.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal -64 binary64)) (*.f64 c (*.f64 c c)))) (+.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (-.f64 (*.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (*.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
(pow.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) #s(literal 2 binary64))
(pow.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) #s(literal 1/2 binary64))
(*.f64 c (+.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 (*.f64 b b) c)))
(*.f64 (+.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 (*.f64 b b) c)) c)
(*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))
(*.f64 (sqrt.f64 c) (sqrt.f64 (*.f64 (+.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 (*.f64 b b) c)) (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
(*.f64 (sqrt.f64 (*.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) c)) (sqrt.f64 (+.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 (*.f64 b b) c))))
(*.f64 (pow.f64 (sqrt.f64 c) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (*.f64 (+.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 (*.f64 b b) c)) (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) c)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (+.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 (*.f64 b b) c))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 a #s(literal -1/2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) #s(literal -1 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 b b) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (/.f64 a #s(literal -1/2 binary64))) (/.f64 (/.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (/.f64 a #s(literal -1/2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 a #s(literal 2 binary64))) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal 2 binary64))))
(-.f64 (/.f64 (*.f64 b b) (*.f64 (/.f64 a #s(literal -1/2 binary64)) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (/.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (*.f64 (/.f64 a #s(literal -1/2 binary64)) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))))
(neg.f64 (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal 2 binary64))))
(neg.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) a)))
(/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (/.f64 a #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a #s(literal -1/2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 a #s(literal -1/2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) a)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (/.f64 a #s(literal -1/2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 a #s(literal -1/2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (/.f64 a #s(literal -1/2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal -2 binary64) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) a))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (*.f64 a #s(literal 2 binary64)))
(/.f64 (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal 3/2 binary64))) (*.f64 (/.f64 a #s(literal -1/2 binary64)) (-.f64 (+.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))))
(/.f64 (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 (/.f64 a #s(literal -1/2 binary64)) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))))
(/.f64 (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) a) #s(literal -2 binary64))
(/.f64 (*.f64 (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal 3/2 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (+.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (/.f64 a #s(literal -1/2 binary64))))
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(fma.f64 b #s(literal 1 binary64) (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))))
(fma.f64 #s(literal 1 binary64) b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))))
(fma.f64 (sqrt.f64 a) (pow.f64 (*.f64 c #s(literal -4 binary64)) #s(literal 1/2 binary64)) b)
(fma.f64 (pow.f64 (*.f64 c #s(literal -4 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 a) b)
(fma.f64 (pow.f64 (*.f64 c a) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -4 binary64)) b)
(fma.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) #s(literal 1/4 binary64)) b)
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (*.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) #s(literal 3/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))) (-.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (*.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) #s(literal 3/2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))) (-.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
(/.f64 (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) #s(literal 3/2 binary64))) (-.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (*.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
(/.f64 (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) #s(literal 3/2 binary64))) (+.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (-.f64 (*.f64 b b) (*.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))))))
(/.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))))
(/.f64 (neg.f64 (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) #s(literal 3/2 binary64)))) (neg.f64 (-.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (*.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))))))
(/.f64 (neg.f64 (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) #s(literal 3/2 binary64)))) (neg.f64 (+.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (-.f64 (*.f64 b b) (*.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (neg.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
(/.f64 (-.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 b b)) (-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))) b))
(/.f64 (neg.f64 (neg.f64 (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) #s(literal 3/2 binary64))))) (neg.f64 (neg.f64 (-.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (*.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (neg.f64 (neg.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 b b))) (neg.f64 (-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))) b)))
(pow.f64 (/.f64 (-.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (*.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) #s(literal 3/2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))) (-.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) #s(literal -1 binary64))
(*.f64 (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (*.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))))))
(*.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))))
(fabs.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))))
(sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))
(pow.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(*.f64 (sqrt.f64 a) (pow.f64 (*.f64 c #s(literal -4 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 c #s(literal -4 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 a))
(*.f64 (sqrt.f64 c) (pow.f64 (*.f64 a #s(literal -4 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 c) (sqrt.f64 (*.f64 a #s(literal -4 binary64))))
(*.f64 (pow.f64 (*.f64 c a) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -4 binary64)))
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (pow.f64 (*.f64 c a) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 a #s(literal -4 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 c))
(*.f64 (pow.f64 (sqrt.f64 a) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (*.f64 (*.f64 c #s(literal -4 binary64)) (*.f64 c (*.f64 a #s(literal -4 binary64))))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) a)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (*.f64 c #s(literal -4 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (*.f64 a #s(literal -4 binary64))) (sqrt.f64 c))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))) (sqrt.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))))
(*.f64 (sqrt.f64 (sqrt.f64 a)) (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 c #s(literal -4 binary64)) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) a))) (sqrt.f64 (pow.f64 (*.f64 c #s(literal -4 binary64)) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 c (*.f64 b b))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) c)) (/.f64 (*.f64 b b) (-.f64 #s(literal 0 binary64) c)))
(neg.f64 (/.f64 (*.f64 b b) (-.f64 #s(literal 0 binary64) c)))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) c))
(/.f64 (*.f64 b b) c)
(/.f64 #s(literal 1 binary64) (/.f64 c (*.f64 b b)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 c (*.f64 b b)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 c (*.f64 b b)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 c (*.f64 b b))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 c (*.f64 b b)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (-.f64 #s(literal 0 binary64) c))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b))) (neg.f64 (-.f64 #s(literal 0 binary64) c)))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) c))))
(pow.f64 (/.f64 c (*.f64 b b)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 c (*.f64 b b)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 b (/.f64 b c))
(*.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) c))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) c))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (/.f64 #s(literal -1 binary64) c))
(*.f64 (/.f64 #s(literal 1 binary64) c) (*.f64 b b))
(*.f64 (/.f64 b c) b)
(*.f64 (/.f64 b #s(literal 1 binary64)) (/.f64 b c))
(*.f64 (pow.f64 (*.f64 c #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 b b))
(*.f64 (/.f64 (*.f64 b b) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) c))
(*.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 (*.f64 b #s(literal -1 binary64)) c))
(*.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 (neg.f64 b) c))
(exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 c a) #s(literal -1 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 c a)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 c a) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 c (/.f64 #s(literal -1 binary64) a)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 c a) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) (*.f64 c a))
(/.f64 #s(literal -1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 c a) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 c (/.f64 #s(literal -1 binary64) a))))
(/.f64 (/.f64 #s(literal -1 binary64) a) c)
(/.f64 (neg.f64 (/.f64 #s(literal -1 binary64) a)) (-.f64 #s(literal 0 binary64) c))
(/.f64 (/.f64 #s(literal -1 binary64) c) a)
(/.f64 (neg.f64 (/.f64 #s(literal -1 binary64) c)) (-.f64 #s(literal 0 binary64) a))
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal -1 binary64) a))) (neg.f64 (-.f64 #s(literal 0 binary64) c)))
(pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 c (/.f64 #s(literal -1 binary64) a)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 c a)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 c a)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) c))
(*.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (/.f64 c #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 #s(literal -1 binary64) a))
(*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 #s(literal 1 binary64) c))
(*.f64 (/.f64 #s(literal -1 binary64) c) (/.f64 #s(literal 1 binary64) a))
(exp.f64 (log.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 c (*.f64 a #s(literal -4 binary64))))) #s(literal 1/2 binary64)))
(fabs.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))
(sqrt.f64 (*.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 c (*.f64 a #s(literal -4 binary64)))))
(pow.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal 2 binary64))
(pow.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) #s(literal 1 binary64))
(pow.f64 (*.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal 1/2 binary64))
(*.f64 c (*.f64 a #s(literal -4 binary64)))
(*.f64 c (pow.f64 (*.f64 a #s(literal -4 binary64)) #s(literal 1 binary64)))
(*.f64 a (*.f64 c #s(literal -4 binary64)))
(*.f64 #s(literal -4 binary64) (*.f64 c a))
(*.f64 #s(literal -4 binary64) (pow.f64 (*.f64 c a) #s(literal 1 binary64)))
(*.f64 (*.f64 a #s(literal -4 binary64)) c)
(*.f64 (*.f64 c a) #s(literal -4 binary64))
(*.f64 (*.f64 c #s(literal -4 binary64)) a)
(*.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))))
(*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 (*.f64 c #s(literal -4 binary64)) (*.f64 c (*.f64 a #s(literal -4 binary64))))))
(*.f64 (sqrt.f64 (*.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) a)) (pow.f64 (*.f64 c #s(literal -4 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 c a) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (*.f64 a #s(literal -4 binary64)) #s(literal 1 binary64)) c)
(*.f64 (pow.f64 (*.f64 c a) #s(literal 1 binary64)) #s(literal -4 binary64))
(*.f64 (pow.f64 (sqrt.f64 a) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (*.f64 (*.f64 c #s(literal -4 binary64)) (*.f64 c (*.f64 a #s(literal -4 binary64))))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) a)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (*.f64 c #s(literal -4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))

simplify313.0ms (2.4%)

Algorithm
1×egg-herbie
Rules
5928×*-lowering-*.f32
5928×*-lowering-*.f64
2478×+-lowering-+.f64
2478×+-lowering-+.f32
1468×sum3-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05845580
119675079
273515067
080535067
Stop Event
1×iter limit
1×node limit
Counts
492 → 492
Calls
Call 1
Inputs
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* -4 (* a c))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* -4 (* a c))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* -4 (* a c))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* -4 (* a c))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(* -4 (* a c))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(pow b 2)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(pow b 2)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))
(* -1 (/ b a))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))
(* -1 (/ c b))
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))
(* -1 (/ b a))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))
(* 1/2 (* (sqrt (/ c a)) (* (sqrt -4) (pow (sqrt -1) 2))))
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(* -1 (/ b a))
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(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
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(* (sqrt (/ c a)) (sqrt -1))
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(* (sqrt (* a c)) (sqrt -4))
(+ b (* (sqrt (* a c)) (sqrt -4)))
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(* 2 b)
(* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* 2 (/ (* a c) b))
(* -1 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))
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(* 2 b)
(+ (* -2 (/ (* a c) b)) (* 2 b))
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(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))))
(* -1 (* (sqrt (* a c)) (* (sqrt -4) (pow (sqrt -1) 2))))
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(* 2 b)
(+ (* -2 (/ (* a c) b)) (* 2 b))
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(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
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b
(+ b (* -2 (/ (* a c) b)))
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(* -1 (* (sqrt (* a c)) (* (sqrt -4) (pow (sqrt -1) 2))))
(* -1 (* c (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (pow (sqrt -1) 2)) (sqrt -4)))) (* (sqrt (/ a c)) (* (sqrt -4) (pow (sqrt -1) 2))))))
(* -1 (* c (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (pow (sqrt -1) 2)) (sqrt -4)))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (pow (sqrt -1) 2)) (pow (sqrt -4) 3)))) (* (sqrt (/ a c)) (* (sqrt -4) (pow (sqrt -1) 2)))))))
(* -1 (* c (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (pow (sqrt -1) 2)) (sqrt -4)))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (pow (sqrt -1) 2)) (pow (sqrt -4) 3)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (pow (sqrt -1) 2)) (pow (sqrt -4) 5)))) (* (sqrt (/ a c)) (* (sqrt -4) (pow (sqrt -1) 2))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
(* (sqrt (* a c)) (sqrt -4))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))
b
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 b)
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ c b)
(/ c 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 (pow b 2))
(/ 1 (pow b 2))
(/ 1 (pow b 2))
(/ 1 (pow b 2))
(/ 1 (pow b 2))
(/ 1 (pow b 2))
(/ 1 (pow b 2))
(/ 1 (pow b 2))
(/ 1 (pow b 2))
(/ 1 (pow b 2))
(/ 1 (pow b 2))
(/ 1 (pow b 2))
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(/ c b)
(/ (+ c (* -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)))
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(* 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))
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(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
(/ c b)
(* c (+ (* -1 (/ b (* a c))) (/ 1 b)))
(* c (+ (* -1 (/ b (* a c))) (/ 1 b)))
(* c (+ (* -1 (/ b (* a c))) (/ 1 b)))
(/ c b)
(* -1 (* c (- (/ b (* a c)) (/ 1 b))))
(* -1 (* c (- (/ b (* a c)) (/ 1 b))))
(* -1 (* c (- (/ b (* a c)) (/ 1 b))))
(* -1 (/ b a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ c b)
(+ (* -1 (/ b a)) (/ c b))
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(+ (* -1 (/ b a)) (/ c b))
(/ c b)
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
(/ -1 a)
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(- (/ c (pow b 2)) (/ 1 a))
(- (/ c (pow b 2)) (/ 1 a))
(/ c (pow b 2))
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(/ c (pow b 2))
(* -1 (* c (- (/ 1 (* a c)) (/ 1 (pow b 2)))))
(* -1 (* c (- (/ 1 (* a c)) (/ 1 (pow b 2)))))
(* -1 (* c (- (/ 1 (* a c)) (/ 1 (pow b 2)))))
(/ c (pow b 2))
(/ (+ c (* -1 (/ (pow b 2) a))) (pow b 2))
(/ (+ c (* -1 (/ (pow b 2) a))) (pow b 2))
(/ (+ c (* -1 (/ (pow b 2) a))) (pow b 2))
(/ -1 a)
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(/ -1 a)
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(- (/ c (pow b 2)) (/ 1 a))
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(/ -1 a)
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(- (/ c (pow b 2)) (/ 1 a))
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(/ c (pow b 2))
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(- (/ c (pow b 2)) (/ 1 a))
(/ 1 (pow b 2))
(/ (+ 1 (* -1 (/ (pow b 2) (* a c)))) (pow b 2))
(/ (+ 1 (* -1 (/ (pow b 2) (* a c)))) (pow b 2))
(/ (+ 1 (* -1 (/ (pow b 2) (* a c)))) (pow b 2))
(/ -1 (* a c))
(- (/ 1 (pow b 2)) (/ 1 (* a c)))
(- (/ 1 (pow b 2)) (/ 1 (* a c)))
(- (/ 1 (pow b 2)) (/ 1 (* a c)))
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(- (/ 1 (pow b 2)) (/ 1 (* a c)))
(- (/ 1 (pow b 2)) (/ 1 (* a c)))
(- (/ 1 (pow b 2)) (/ 1 (* a c)))
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(/ 1 (pow b 2))
(- (/ 1 (pow b 2)) (/ 1 (* a c)))
(- (/ 1 (pow b 2)) (/ 1 (* a c)))
(- (/ 1 (pow b 2)) (/ 1 (* a c)))
(/ 1 (pow b 2))
(- (/ 1 (pow b 2)) (/ 1 (* a c)))
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(- (/ 1 (pow b 2)) (/ 1 (* a c)))
(/ -1 (* a c))
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(/ (- (/ c (pow b 2)) (/ 1 a)) c)
(/ (- (/ c (pow b 2)) (/ 1 a)) c)
(/ 1 (pow b 2))
(- (/ 1 (pow b 2)) (/ 1 (* a c)))
(- (/ 1 (pow b 2)) (/ 1 (* a c)))
(- (/ 1 (pow b 2)) (/ 1 (* a c)))
(/ 1 (pow b 2))
(- (/ 1 (pow b 2)) (/ 1 (* a c)))
(- (/ 1 (pow b 2)) (/ 1 (* a c)))
(- (/ 1 (pow b 2)) (/ 1 (* a c)))
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(* -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)))
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(+ (* -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))
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(* b (- (* -1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a))))
(* b (- (* -1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a))))
(* -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)
(* (sqrt (* a c)) (sqrt -4))
(+ b (* (sqrt (* a c)) (sqrt -4)))
(+ b (* (sqrt (* a c)) (sqrt -4)))
(+ b (* (sqrt (* a c)) (sqrt -4)))
b
(* b (+ 1 (* (sqrt (* a c)) (/ (sqrt -4) b))))
(* b (+ 1 (* (sqrt (* a c)) (/ (sqrt -4) b))))
(* b (+ 1 (* (sqrt (* a c)) (/ (sqrt -4) b))))
b
(* -1 (* b (- (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b))) 1)))
(* -1 (* b (- (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b))) 1)))
(* -1 (* b (- (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b))) 1)))
(+ b (* (sqrt (* a c)) (sqrt -4)))
(+ b (* (sqrt (* a c)) (sqrt -4)))
(+ b (* (sqrt (* a c)) (sqrt -4)))
(+ b (* (sqrt (* a c)) (sqrt -4)))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))
(* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))
(* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(+ b (* (sqrt (* a c)) (sqrt -4)))
(+ b (* (sqrt (* a c)) (sqrt -4)))
(+ b (* (sqrt (* a c)) (sqrt -4)))
(+ b (* (sqrt (* a c)) (sqrt -4)))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))
(* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))
(* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(/ (pow b 2) c)
(/ (pow b 2) c)
(/ (pow b 2) c)
(/ (pow b 2) c)
(/ (pow b 2) c)
(/ (pow b 2) c)
(/ (pow b 2) c)
(/ (pow b 2) c)
(/ (pow b 2) c)
(/ (pow b 2) c)
(/ (pow b 2) c)
(/ (pow b 2) c)
(/ (pow b 2) c)
(/ (pow b 2) c)
(/ (pow b 2) c)
(/ (pow b 2) c)
(/ (pow b 2) c)
(/ (pow b 2) c)
(/ (pow b 2) c)
(/ (pow b 2) c)
(/ (pow b 2) c)
(/ (pow b 2) c)
(/ (pow b 2) c)
(/ (pow b 2) c)
(/ -1 (* a c))
(/ -1 (* a c))
(/ -1 (* a c))
(/ -1 (* a c))
(/ -1 (* a c))
(/ -1 (* a c))
(/ -1 (* a c))
(/ -1 (* a c))
(/ -1 (* a c))
(/ -1 (* a c))
(/ -1 (* a c))
(/ -1 (* a c))
(/ -1 (* a c))
(/ -1 (* a c))
(/ -1 (* a c))
(/ -1 (* a c))
(/ -1 (* a c))
(/ -1 (* a c))
(/ -1 (* a c))
(/ -1 (* a c))
(/ -1 (* a c))
(/ -1 (* a c))
(/ -1 (* a c))
(/ -1 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
Outputs
(pow b 2)
(*.f64 b b)
(+ (* -4 (* a c)) (pow b 2))
(+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))
(+ (* -4 (* a c)) (pow b 2))
(+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))
(+ (* -4 (* a c)) (pow b 2))
(+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))
(* -4 (* a c))
(*.f64 #s(literal -4 binary64) (*.f64 a c))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(*.f64 c (+.f64 (*.f64 #s(literal -4 binary64) a) (/.f64 (*.f64 b b) c)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(*.f64 c (+.f64 (*.f64 #s(literal -4 binary64) a) (/.f64 (*.f64 b b) c)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(*.f64 c (+.f64 (*.f64 #s(literal -4 binary64) a) (/.f64 (*.f64 b b) c)))
(* -4 (* a c))
(*.f64 #s(literal -4 binary64) (*.f64 a c))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(*.f64 (-.f64 (*.f64 a #s(literal 4 binary64)) (/.f64 (*.f64 b b) c)) (neg.f64 c))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(*.f64 (-.f64 (*.f64 a #s(literal 4 binary64)) (/.f64 (*.f64 b b) c)) (neg.f64 c))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(*.f64 (-.f64 (*.f64 a #s(literal 4 binary64)) (/.f64 (*.f64 b b) c)) (neg.f64 c))
(pow b 2)
(*.f64 b b)
(+ (* -4 (* a c)) (pow b 2))
(+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))
(+ (* -4 (* a c)) (pow b 2))
(+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))
(+ (* -4 (* a c)) (pow b 2))
(+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))
(* -4 (* a c))
(*.f64 #s(literal -4 binary64) (*.f64 a c))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(*.f64 a (+.f64 (*.f64 #s(literal -4 binary64) c) (/.f64 (*.f64 b b) a)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(*.f64 a (+.f64 (*.f64 #s(literal -4 binary64) c) (/.f64 (*.f64 b b) a)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(*.f64 a (+.f64 (*.f64 #s(literal -4 binary64) c) (/.f64 (*.f64 b b) a)))
(* -4 (* a c))
(*.f64 #s(literal -4 binary64) (*.f64 a c))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(*.f64 (-.f64 (*.f64 c #s(literal 4 binary64)) (/.f64 (*.f64 b b) a)) (neg.f64 a))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(*.f64 (-.f64 (*.f64 c #s(literal 4 binary64)) (/.f64 (*.f64 b b) a)) (neg.f64 a))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(*.f64 (-.f64 (*.f64 c #s(literal 4 binary64)) (/.f64 (*.f64 b b) a)) (neg.f64 a))
(* -4 (* a c))
(*.f64 #s(literal -4 binary64) (*.f64 a c))
(+ (* -4 (* a c)) (pow b 2))
(+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))
(+ (* -4 (* a c)) (pow b 2))
(+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))
(+ (* -4 (* a c)) (pow b 2))
(+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -1/2 binary64)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -1/2 binary64))) (*.f64 b (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (/.f64 b (sqrt.f64 #s(literal -4 binary64))) #s(literal -1/4 binary64))) (/.f64 #s(literal -1/2 binary64) a))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))
(+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -1/2 binary64))) (*.f64 b (+.f64 (*.f64 b (+.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a)))))) (sqrt.f64 #s(literal -4 binary64))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (*.f64 c (*.f64 c c)))) (/.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))))))) (/.f64 #s(literal -1/2 binary64) a))))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a)))
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))
(*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (+.f64 (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) a))))
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))
(*.f64 b (+.f64 (+.f64 (/.f64 c (*.f64 b b)) (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b #s(literal 4 binary64)))) (+.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 6 binary64)))) (/.f64 #s(literal -1 binary64) a))))
(* -1 (/ c b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))
(/.f64 (+.f64 c (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b))
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))
(/.f64 (+.f64 (+.f64 c (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 4 binary64)))) (-.f64 #s(literal 0 binary64) b))
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))
(/.f64 (+.f64 c (+.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 4 binary64))) (+.f64 (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 b #s(literal 6 binary64))) (*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (/.f64 #s(literal 20 binary64) a)))))) (-.f64 #s(literal 0 binary64) b))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(+ (* -1 (/ b a)) (/ c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))
(-.f64 (*.f64 c (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (*.f64 a c) (*.f64 b (*.f64 b b))))) (/.f64 b a))
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))
(-.f64 (*.f64 c (+.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 c (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a (*.f64 a c))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (/.f64 a (*.f64 b b)) b))))) (/.f64 b a))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -1/2 binary64)))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))
(*.f64 (*.f64 c #s(literal -1/2 binary64)) (+.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (/.f64 b (*.f64 a c))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))
(*.f64 c (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (/.f64 b (*.f64 a c)))) (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a)))) (*.f64 c c))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))
(*.f64 c (+.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (/.f64 b (*.f64 a c)))) (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a)))) (*.f64 c c))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (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))))))))
(* 1/2 (* (sqrt (/ c a)) (* (sqrt -4) (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -1/2 binary64)))
(* -1 (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* (sqrt -4) (pow (sqrt -1) 2)))) (* 1/2 (/ b (* a c))))))
(*.f64 (+.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 b a) #s(literal 1/2 binary64)) c)) (neg.f64 c))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (pow (sqrt -1) 2)) (sqrt -4))))) c)) (* -1/2 (* (sqrt (/ 1 (* a c))) (* (sqrt -4) (pow (sqrt -1) 2)))))))
(*.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) #s(literal 1/2 binary64)) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b a)) (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (/.f64 (*.f64 b (-.f64 #s(literal 0 binary64) b)) (sqrt.f64 #s(literal -4 binary64)))))) c)) (neg.f64 c))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (pow (sqrt -1) 2)) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (pow (sqrt -1) 2)) (sqrt -4))))) c)) (* -1/2 (/ b a))) c)) (* -1/2 (* (sqrt (/ 1 (* a c))) (* (sqrt -4) (pow (sqrt -1) 2)))))))
(*.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) #s(literal 1/2 binary64)) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b a)) (/.f64 (+.f64 (*.f64 #s(literal 1/16 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)) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -4 binary64)))))) (*.f64 (/.f64 (*.f64 b (-.f64 #s(literal 0 binary64) b)) (sqrt.f64 #s(literal -4 binary64))) (*.f64 #s(literal 1/4 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 a c) b) b) a)
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/.f64 (-.f64 (*.f64 a (+.f64 (/.f64 c b) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b b))))) b) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)
(/.f64 (-.f64 (*.f64 a (+.f64 (/.f64 c b) (*.f64 a (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a (*.f64 c (*.f64 c c)))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))))))) b) a)
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -1/2 binary64)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 b a))) (*.f64 #s(literal -1/4 binary64) (*.f64 (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)))))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 b a))) (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (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 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (*.f64 c (*.f64 c c)))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64))))))))
(* (sqrt (/ c a)) (sqrt -1))
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b a)) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (+.f64 (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/8 binary64))) (*.f64 b #s(literal 1/2 binary64))) a))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (-.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 (+.f64 (*.f64 #s(literal -1/128 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 (/.f64 a c))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/8 binary64)))) a)) a))
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 a c)))
(+ b (* (sqrt (* a c)) (sqrt -4)))
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b
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(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 a c)))
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 a c)))
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 a c)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (sqrt.f64 (*.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -2 binary64)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (sqrt.f64 (*.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -2 binary64)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (sqrt.f64 (*.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -2 binary64)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (sqrt.f64 (*.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -2 binary64)))
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 a c)))
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 a c)))
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 a c)))
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 a c)))
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 a c)))
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 a c)))
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 a c)))
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 a c)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (sqrt.f64 (*.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -2 binary64)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (sqrt.f64 (*.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -2 binary64)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (sqrt.f64 (*.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -2 binary64)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (sqrt.f64 (*.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -2 binary64)))
(/ (pow b 2) c)
(/.f64 (*.f64 b b) c)
(/ (pow b 2) c)
(/.f64 (*.f64 b b) c)
(/ (pow b 2) c)
(/.f64 (*.f64 b b) c)
(/ (pow b 2) c)
(/.f64 (*.f64 b b) c)
(/ (pow b 2) c)
(/.f64 (*.f64 b b) c)
(/ (pow b 2) c)
(/.f64 (*.f64 b b) c)
(/ (pow b 2) c)
(/.f64 (*.f64 b b) c)
(/ (pow b 2) c)
(/.f64 (*.f64 b b) c)
(/ (pow b 2) c)
(/.f64 (*.f64 b b) c)
(/ (pow b 2) c)
(/.f64 (*.f64 b b) c)
(/ (pow b 2) c)
(/.f64 (*.f64 b b) c)
(/ (pow b 2) c)
(/.f64 (*.f64 b b) c)
(/ (pow b 2) c)
(/.f64 (*.f64 b b) c)
(/ (pow b 2) c)
(/.f64 (*.f64 b b) c)
(/ (pow b 2) c)
(/.f64 (*.f64 b b) c)
(/ (pow b 2) c)
(/.f64 (*.f64 b b) c)
(/ (pow b 2) c)
(/.f64 (*.f64 b b) c)
(/ (pow b 2) c)
(/.f64 (*.f64 b b) c)
(/ (pow b 2) c)
(/.f64 (*.f64 b b) c)
(/ (pow b 2) c)
(/.f64 (*.f64 b b) c)
(/ (pow b 2) c)
(/.f64 (*.f64 b b) c)
(/ (pow b 2) c)
(/.f64 (*.f64 b b) c)
(/ (pow b 2) c)
(/.f64 (*.f64 b b) c)
(/ (pow b 2) c)
(/.f64 (*.f64 b b) c)
(/ -1 (* a c))
(/.f64 #s(literal -1 binary64) (*.f64 a c))
(/ -1 (* a c))
(/.f64 #s(literal -1 binary64) (*.f64 a c))
(/ -1 (* a c))
(/.f64 #s(literal -1 binary64) (*.f64 a c))
(/ -1 (* a c))
(/.f64 #s(literal -1 binary64) (*.f64 a c))
(/ -1 (* a c))
(/.f64 #s(literal -1 binary64) (*.f64 a c))
(/ -1 (* a c))
(/.f64 #s(literal -1 binary64) (*.f64 a c))
(/ -1 (* a c))
(/.f64 #s(literal -1 binary64) (*.f64 a c))
(/ -1 (* a c))
(/.f64 #s(literal -1 binary64) (*.f64 a c))
(/ -1 (* a c))
(/.f64 #s(literal -1 binary64) (*.f64 a c))
(/ -1 (* a c))
(/.f64 #s(literal -1 binary64) (*.f64 a c))
(/ -1 (* a c))
(/.f64 #s(literal -1 binary64) (*.f64 a c))
(/ -1 (* a c))
(/.f64 #s(literal -1 binary64) (*.f64 a c))
(/ -1 (* a c))
(/.f64 #s(literal -1 binary64) (*.f64 a c))
(/ -1 (* a c))
(/.f64 #s(literal -1 binary64) (*.f64 a c))
(/ -1 (* a c))
(/.f64 #s(literal -1 binary64) (*.f64 a c))
(/ -1 (* a c))
(/.f64 #s(literal -1 binary64) (*.f64 a c))
(/ -1 (* a c))
(/.f64 #s(literal -1 binary64) (*.f64 a c))
(/ -1 (* a c))
(/.f64 #s(literal -1 binary64) (*.f64 a c))
(/ -1 (* a c))
(/.f64 #s(literal -1 binary64) (*.f64 a c))
(/ -1 (* a c))
(/.f64 #s(literal -1 binary64) (*.f64 a c))
(/ -1 (* a c))
(/.f64 #s(literal -1 binary64) (*.f64 a c))
(/ -1 (* a c))
(/.f64 #s(literal -1 binary64) (*.f64 a c))
(/ -1 (* a c))
(/.f64 #s(literal -1 binary64) (*.f64 a c))
(/ -1 (* a c))
(/.f64 #s(literal -1 binary64) (*.f64 a c))
(* -4 (* a c))
(*.f64 #s(literal -4 binary64) (*.f64 a c))
(* -4 (* a c))
(*.f64 #s(literal -4 binary64) (*.f64 a c))
(* -4 (* a c))
(*.f64 #s(literal -4 binary64) (*.f64 a c))
(* -4 (* a c))
(*.f64 #s(literal -4 binary64) (*.f64 a c))
(* -4 (* a c))
(*.f64 #s(literal -4 binary64) (*.f64 a c))
(* -4 (* a c))
(*.f64 #s(literal -4 binary64) (*.f64 a c))
(* -4 (* a c))
(*.f64 #s(literal -4 binary64) (*.f64 a c))
(* -4 (* a c))
(*.f64 #s(literal -4 binary64) (*.f64 a c))
(* -4 (* a c))
(*.f64 #s(literal -4 binary64) (*.f64 a c))
(* -4 (* a c))
(*.f64 #s(literal -4 binary64) (*.f64 a c))
(* -4 (* a c))
(*.f64 #s(literal -4 binary64) (*.f64 a c))
(* -4 (* a c))
(*.f64 #s(literal -4 binary64) (*.f64 a c))
(* -4 (* a c))
(*.f64 #s(literal -4 binary64) (*.f64 a c))
(* -4 (* a c))
(*.f64 #s(literal -4 binary64) (*.f64 a c))
(* -4 (* a c))
(*.f64 #s(literal -4 binary64) (*.f64 a c))
(* -4 (* a c))
(*.f64 #s(literal -4 binary64) (*.f64 a c))
(* -4 (* a c))
(*.f64 #s(literal -4 binary64) (*.f64 a c))
(* -4 (* a c))
(*.f64 #s(literal -4 binary64) (*.f64 a c))
(* -4 (* a c))
(*.f64 #s(literal -4 binary64) (*.f64 a c))
(* -4 (* a c))
(*.f64 #s(literal -4 binary64) (*.f64 a c))
(* -4 (* a c))
(*.f64 #s(literal -4 binary64) (*.f64 a c))
(* -4 (* a c))
(*.f64 #s(literal -4 binary64) (*.f64 a c))
(* -4 (* a c))
(*.f64 #s(literal -4 binary64) (*.f64 a c))
(* -4 (* a c))
(*.f64 #s(literal -4 binary64) (*.f64 a c))

eval173.0ms (1.3%)

Compiler

Compiled 26745 to 3528 computations (86.8% saved)

prune209.0ms (1.6%)

Pruning

49 alts after pruning (43 fresh and 6 done)

PrunedKeptTotal
New1312151327
Fresh82836
Picked145
Done022
Total1321491370
Accuracy
99.9%
Counts
1370 → 49
Alt Table
Click to see full alt table
StatusAccuracyProgram
23.5%
(fma.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 a)) (pow.f64 (*.f64 c #s(literal -4 binary64)) #s(literal 1/2 binary64)) (/.f64 b (/.f64 a #s(literal -1/2 binary64))))
20.7%
(fma.f64 (sqrt.f64 a) (*.f64 (pow.f64 (*.f64 c #s(literal -4 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal -1/2 binary64) a)) (/.f64 b (/.f64 a #s(literal -1/2 binary64))))
24.8%
(/.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 b (*.f64 #s(literal 2 binary64) (*.f64 a c))))
3.2%
(/.f64 (-.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b b)) (*.f64 (*.f64 a #s(literal -2 binary64)) (*.f64 (/.f64 (*.f64 a c) b) #s(literal -2 binary64))))
5.3%
(/.f64 (-.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b b)) (*.f64 (*.f64 a #s(literal -2 binary64)) (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b))))
23.8%
(/.f64 (-.f64 (*.f64 a (/.f64 (+.f64 c (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) b)) b) a)
25.8%
(/.f64 (-.f64 (*.f64 a (+.f64 (/.f64 c b) (/.f64 (/.f64 a (/.f64 b (/.f64 (*.f64 c c) b))) b))) b) a)
13.4%
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (/.f64 b a) b) a)) (/.f64 b a))
27.0%
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (/.f64 c b))) a)
27.1%
(/.f64 (+.f64 b (*.f64 (sqrt.f64 (+.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 (*.f64 b b) c))) (sqrt.f64 c))) (*.f64 a #s(literal -2 binary64)))
✓46.7%
(/.f64 (+.f64 b (sqrt.f64 (*.f64 c (+.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 (*.f64 b b) c))))) (*.f64 a #s(literal -2 binary64)))
36.1%
(/.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))) (/.f64 a #s(literal -1/2 binary64)))
34.5%
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))))
28.5%
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (*.f64 #s(literal 2 binary64) (*.f64 a c))) b)
31.5%
(/.f64 (*.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal -1/2 binary64)) (*.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))) a))
✓11.6%
(/.f64 c b)
31.2%
(/.f64 b (neg.f64 a))
11.6%
(/.f64 #s(literal 1 binary64) (/.f64 b c))
31.6%
(/.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 b #s(literal 1/2 binary64)) c))
1.3%
(/.f64 #s(literal -1/2 binary64) (/.f64 a (/.f64 (+.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 #s(literal -2 binary64) c)) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)) (*.f64 (*.f64 b b) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 #s(literal -2 binary64) c)) (*.f64 b b))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 #s(literal -2 binary64) c)) (*.f64 b b))))))) (+.f64 (*.f64 b b) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 #s(literal -2 binary64) c)) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)) (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 #s(literal -2 binary64) c)) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)) b))))))
12.9%
(/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) c) b))))
36.1%
(/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64))))))
31.7%
(/.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) c)))))
28.3%
(/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 a (*.f64 #s(literal 2 binary64) (*.f64 a c))) b))
31.2%
(/.f64 #s(literal -1 binary64) (/.f64 a b))
31.4%
(-.f64 (/.f64 c b) (/.f64 b a))
31.9%
(-.f64 #s(literal 0 binary64) (/.f64 c b))
14.6%
(-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 a b)) #s(literal -1 binary64))))
24.8%
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a c)) b) (/.f64 #s(literal -1/2 binary64) a))
11.6%
(*.f64 (/.f64 c (*.f64 b b)) b)
23.5%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (*.f64 (pow.f64 (*.f64 c #s(literal -4 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 a))))
21.7%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (*.f64 (sqrt.f64 (*.f64 a #s(literal -4 binary64))) (sqrt.f64 c))))
✓52.2%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))
✓36.0%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))))
31.2%
(*.f64 (/.f64 #s(literal -1 binary64) a) b)
✓11.6%
(*.f64 (*.f64 b (/.f64 #s(literal 1 binary64) (*.f64 b b))) c)
1.7%
(*.f64 (*.f64 b (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 b))))) c)
11.6%
(*.f64 (*.f64 b (*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) b))) c)
1.8%
(*.f64 (*.f64 b (exp.f64 (*.f64 (log.f64 b) #s(literal -2 binary64)))) c)
1.9%
(*.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal -1 binary64))) c)
31.8%
(*.f64 c (+.f64 (/.f64 #s(literal 0 binary64) c) (/.f64 #s(literal -1 binary64) b)))
29.6%
(*.f64 b (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (/.f64 #s(literal 1 binary64) c)) (/.f64 #s(literal -1 binary64) a)))
31.3%
(*.f64 b (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 b c)) (/.f64 #s(literal -1 binary64) a)))
31.3%
(*.f64 b (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 c b))) (/.f64 #s(literal -1 binary64) a)))
26.3%
(*.f64 b (*.f64 c (/.f64 (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a)) c)))
26.3%
(*.f64 b (*.f64 c (/.f64 #s(literal -1 binary64) (*.f64 a c))))
6.3%
(*.f64 b (*.f64 c (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b)))) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (*.f64 b b)) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 c a)) (/.f64 #s(literal 1 binary64) (*.f64 b b))) (-.f64 #s(literal 0 binary64) (*.f64 c a))))))))
6.8%
(exp.f64 (*.f64 (log.f64 (/.f64 b c)) #s(literal -1 binary64)))
✓11.8%
#s(literal 0 binary64)
Compiler

Compiled 2124 to 870 computations (59% saved)

regimes96.0ms (0.7%)

Counts
75 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
(/.f64 c b)
(/.f64 b (neg.f64 a))
(*.f64 (/.f64 #s(literal -1 binary64) a) b)
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(/.f64 #s(literal -1 binary64) (/.f64 a b))
(/.f64 #s(literal 1 binary64) (/.f64 b c))
(*.f64 b (/.f64 c (*.f64 b b)))
(*.f64 (/.f64 c (*.f64 b b)) b)
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 b #s(literal 1/2 binary64)) c))
(*.f64 b (*.f64 c (/.f64 #s(literal -1 binary64) (*.f64 a c))))
(*.f64 c (+.f64 (/.f64 #s(literal 0 binary64) c) (/.f64 #s(literal -1 binary64) b)))
(*.f64 (*.f64 b (/.f64 #s(literal 1 binary64) (*.f64 b b))) c)
(/.f64 (+.f64 b (-.f64 #s(literal 0 binary64) b)) (*.f64 a #s(literal -2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (/.f64 c b))) a)
(*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a)))
(*.f64 (*.f64 b (*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) b))) c)
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a c)) b) (/.f64 #s(literal -1/2 binary64) a))
(/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 a (*.f64 #s(literal 2 binary64) (*.f64 a c))) b))
(/.f64 #s(literal -1/2 binary64) (/.f64 a (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a c)) b)))
(/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal 2 binary64))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (*.f64 #s(literal 2 binary64) (*.f64 a c))) b)
(/.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 b (*.f64 #s(literal 2 binary64) (*.f64 a c))))
(*.f64 b (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 c b))) (/.f64 #s(literal -1 binary64) a)))
(*.f64 b (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 b c)) (/.f64 #s(literal -1 binary64) a)))
(/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) c) b))))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (/.f64 b a) b) a)) (/.f64 b a))
(*.f64 b (*.f64 c (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (/.f64 #s(literal -1 binary64) (*.f64 a c)))))
(*.f64 b (*.f64 c (/.f64 (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a)) c)))
(*.f64 b (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (/.f64 #s(literal 1 binary64) c)) (/.f64 #s(literal -1 binary64) a)))
(/.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) c)))))
(-.f64 (*.f64 c (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (/.f64 (/.f64 (*.f64 c a) b) b) b))) (/.f64 b a))
(/.f64 (-.f64 (*.f64 a (/.f64 (+.f64 c (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) b)) b) a)
(*.f64 b (/.f64 (+.f64 (*.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 (*.f64 b b) c) #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 b b) c) a)))
(/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)))))
(/.f64 (+.f64 b (*.f64 b (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) b) b))))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (-.f64 (*.f64 a (+.f64 (/.f64 c b) (*.f64 a (/.f64 (/.f64 (/.f64 (*.f64 c c) b) b) b)))) b) a)
(/.f64 (-.f64 (*.f64 a (+.f64 (/.f64 c b) (/.f64 (/.f64 a (/.f64 b (/.f64 (*.f64 c c) b))) b))) b) a)
(/.f64 (-.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b b)) (*.f64 (*.f64 a #s(literal -2 binary64)) (*.f64 (/.f64 (*.f64 a c) b) #s(literal -2 binary64))))
(*.f64 b (*.f64 (-.f64 (/.f64 (/.f64 c (*.f64 b b)) (/.f64 (*.f64 b b) c)) (/.f64 #s(literal 1 binary64) (*.f64 a a))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal 1 binary64) a)))))
(/.f64 (-.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b b)) (*.f64 (*.f64 a #s(literal -2 binary64)) (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b))))
(/.f64 (*.f64 (+.f64 (/.f64 (/.f64 (*.f64 (*.f64 c c) c) (*.f64 b (*.f64 b b))) (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 a a) a))) b) (+.f64 (/.f64 (/.f64 c (*.f64 b b)) (/.f64 (*.f64 b b) c)) (*.f64 (/.f64 #s(literal -1 binary64) a) (-.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 c (*.f64 b b))))))
(*.f64 b (*.f64 c (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b)))) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (*.f64 b b)) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 c a)) (/.f64 #s(literal 1 binary64) (*.f64 b b))) (-.f64 #s(literal 0 binary64) (*.f64 c a))))))))
(/.f64 #s(literal -1/2 binary64) (/.f64 a (/.f64 (+.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 #s(literal -2 binary64) c)) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)) (*.f64 (*.f64 b b) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 #s(literal -2 binary64) c)) (*.f64 b b))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 #s(literal -2 binary64) c)) (*.f64 b b))))))) (+.f64 (*.f64 b b) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 #s(literal -2 binary64) c)) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)) (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 #s(literal -2 binary64) c)) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)) b))))))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))))
(/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64))))))
(/.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))) (/.f64 a #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))
(/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))
(/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64)))
(*.f64 b (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (pow.f64 (/.f64 #s(literal 1 binary64) c) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) 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 (+.f64 b (sqrt.f64 (*.f64 c (+.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 (*.f64 b b) c))))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64)) (*.f64 (*.f64 a #s(literal -2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)))
(/.f64 (*.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal -1/2 binary64)) (*.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))) a))
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))))
(/.f64 (-.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b b)) (*.f64 (*.f64 a #s(literal -2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)))
(/.f64 (/.f64 (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64))) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))
(/.f64 (/.f64 (-.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))) (*.f64 b b)) (*.f64 a #s(literal -2 binary64))) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) b))
(exp.f64 (*.f64 (log.f64 (/.f64 b c)) #s(literal -1 binary64)))
(*.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal -1 binary64))) c)
(*.f64 (*.f64 b (exp.f64 (*.f64 (log.f64 b) #s(literal -2 binary64)))) c)
(-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 a b)) #s(literal -1 binary64))))
(*.f64 (*.f64 b (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 b))))) c)
(*.f64 b (+.f64 (/.f64 c (exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 b)))) (/.f64 #s(literal -1 binary64) a)))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (*.f64 (sqrt.f64 (*.f64 a #s(literal -4 binary64))) (sqrt.f64 c))))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (*.f64 (pow.f64 (*.f64 c #s(literal -4 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 a))))
(/.f64 (+.f64 b (*.f64 (sqrt.f64 (+.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 (*.f64 b b) c))) (sqrt.f64 c))) (*.f64 a #s(literal -2 binary64)))
(fma.f64 (sqrt.f64 a) (*.f64 (pow.f64 (*.f64 c #s(literal -4 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal -1/2 binary64) a)) (/.f64 b (/.f64 a #s(literal -1/2 binary64))))
(fma.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 a)) (pow.f64 (*.f64 c #s(literal -4 binary64)) #s(literal 1/2 binary64)) (/.f64 b (/.f64 a #s(literal -1/2 binary64))))
(*.f64 b (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (log.f64 c)))) (/.f64 #s(literal -1 binary64) a)))
(/.f64 (*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (*.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #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 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64)))
(-.f64 (/.f64 c b) (/.f64 b a))
Calls

4 calls:

23.0ms
(/.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))
22.0ms
b
21.0ms
a
21.0ms
c
Results
AccuracySegmentsBranch
60.7%4a
84.7%3b
63.8%4c
72.1%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)

regimes24.0ms (0.2%)

Counts
52 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
(/.f64 c b)
(/.f64 b (neg.f64 a))
(*.f64 (/.f64 #s(literal -1 binary64) a) b)
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(/.f64 #s(literal -1 binary64) (/.f64 a b))
(/.f64 #s(literal 1 binary64) (/.f64 b c))
(*.f64 b (/.f64 c (*.f64 b b)))
(*.f64 (/.f64 c (*.f64 b b)) b)
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 b #s(literal 1/2 binary64)) c))
(*.f64 b (*.f64 c (/.f64 #s(literal -1 binary64) (*.f64 a c))))
(*.f64 c (+.f64 (/.f64 #s(literal 0 binary64) c) (/.f64 #s(literal -1 binary64) b)))
(*.f64 (*.f64 b (/.f64 #s(literal 1 binary64) (*.f64 b b))) c)
(/.f64 (+.f64 b (-.f64 #s(literal 0 binary64) b)) (*.f64 a #s(literal -2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (/.f64 c b))) a)
(*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a)))
(*.f64 (*.f64 b (*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) b))) c)
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a c)) b) (/.f64 #s(literal -1/2 binary64) a))
(/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 a (*.f64 #s(literal 2 binary64) (*.f64 a c))) b))
(/.f64 #s(literal -1/2 binary64) (/.f64 a (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a c)) b)))
(/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal 2 binary64))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (*.f64 #s(literal 2 binary64) (*.f64 a c))) b)
(/.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 b (*.f64 #s(literal 2 binary64) (*.f64 a c))))
(*.f64 b (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 c b))) (/.f64 #s(literal -1 binary64) a)))
(*.f64 b (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 b c)) (/.f64 #s(literal -1 binary64) a)))
(/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) c) b))))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (/.f64 b a) b) a)) (/.f64 b a))
(*.f64 b (*.f64 c (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (/.f64 #s(literal -1 binary64) (*.f64 a c)))))
(*.f64 b (*.f64 c (/.f64 (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a)) c)))
(*.f64 b (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (/.f64 #s(literal 1 binary64) c)) (/.f64 #s(literal -1 binary64) a)))
(/.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) c)))))
(-.f64 (*.f64 c (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (/.f64 (/.f64 (*.f64 c a) b) b) b))) (/.f64 b a))
(/.f64 (-.f64 (*.f64 a (/.f64 (+.f64 c (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) b)) b) a)
(*.f64 b (/.f64 (+.f64 (*.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 (*.f64 b b) c) #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 b b) c) a)))
(/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)))))
(/.f64 (+.f64 b (*.f64 b (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) b) b))))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (-.f64 (*.f64 a (+.f64 (/.f64 c b) (*.f64 a (/.f64 (/.f64 (/.f64 (*.f64 c c) b) b) b)))) b) a)
(/.f64 (-.f64 (*.f64 a (+.f64 (/.f64 c b) (/.f64 (/.f64 a (/.f64 b (/.f64 (*.f64 c c) b))) b))) b) a)
(/.f64 (-.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b b)) (*.f64 (*.f64 a #s(literal -2 binary64)) (*.f64 (/.f64 (*.f64 a c) b) #s(literal -2 binary64))))
(*.f64 b (*.f64 (-.f64 (/.f64 (/.f64 c (*.f64 b b)) (/.f64 (*.f64 b b) c)) (/.f64 #s(literal 1 binary64) (*.f64 a a))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal 1 binary64) a)))))
(/.f64 (-.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b b)) (*.f64 (*.f64 a #s(literal -2 binary64)) (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b))))
(/.f64 (*.f64 (+.f64 (/.f64 (/.f64 (*.f64 (*.f64 c c) c) (*.f64 b (*.f64 b b))) (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 a a) a))) b) (+.f64 (/.f64 (/.f64 c (*.f64 b b)) (/.f64 (*.f64 b b) c)) (*.f64 (/.f64 #s(literal -1 binary64) a) (-.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 c (*.f64 b b))))))
(*.f64 b (*.f64 c (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b)))) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (*.f64 b b)) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 c a)) (/.f64 #s(literal 1 binary64) (*.f64 b b))) (-.f64 #s(literal 0 binary64) (*.f64 c a))))))))
(/.f64 #s(literal -1/2 binary64) (/.f64 a (/.f64 (+.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 #s(literal -2 binary64) c)) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)) (*.f64 (*.f64 b b) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 #s(literal -2 binary64) c)) (*.f64 b b))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 #s(literal -2 binary64) c)) (*.f64 b b))))))) (+.f64 (*.f64 b b) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 #s(literal -2 binary64) c)) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)) (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 #s(literal -2 binary64) c)) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)) b))))))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))))
(/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64))))))
(/.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))) (/.f64 a #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))
(/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))
Outputs
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))
(-.f64 (/.f64 c b) (/.f64 b a))
Calls

1 calls:

17.0ms
b
Results
AccuracySegmentsBranch
84.6%3b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes26.0ms (0.2%)

Counts
51 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
(/.f64 c b)
(/.f64 b (neg.f64 a))
(*.f64 (/.f64 #s(literal -1 binary64) a) b)
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(/.f64 #s(literal -1 binary64) (/.f64 a b))
(/.f64 #s(literal 1 binary64) (/.f64 b c))
(*.f64 b (/.f64 c (*.f64 b b)))
(*.f64 (/.f64 c (*.f64 b b)) b)
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 b #s(literal 1/2 binary64)) c))
(*.f64 b (*.f64 c (/.f64 #s(literal -1 binary64) (*.f64 a c))))
(*.f64 c (+.f64 (/.f64 #s(literal 0 binary64) c) (/.f64 #s(literal -1 binary64) b)))
(*.f64 (*.f64 b (/.f64 #s(literal 1 binary64) (*.f64 b b))) c)
(/.f64 (+.f64 b (-.f64 #s(literal 0 binary64) b)) (*.f64 a #s(literal -2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (/.f64 c b))) a)
(*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a)))
(*.f64 (*.f64 b (*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) b))) c)
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a c)) b) (/.f64 #s(literal -1/2 binary64) a))
(/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 a (*.f64 #s(literal 2 binary64) (*.f64 a c))) b))
(/.f64 #s(literal -1/2 binary64) (/.f64 a (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a c)) b)))
(/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal 2 binary64))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (*.f64 #s(literal 2 binary64) (*.f64 a c))) b)
(/.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 b (*.f64 #s(literal 2 binary64) (*.f64 a c))))
(*.f64 b (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 c b))) (/.f64 #s(literal -1 binary64) a)))
(*.f64 b (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 b c)) (/.f64 #s(literal -1 binary64) a)))
(/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) c) b))))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (/.f64 b a) b) a)) (/.f64 b a))
(*.f64 b (*.f64 c (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (/.f64 #s(literal -1 binary64) (*.f64 a c)))))
(*.f64 b (*.f64 c (/.f64 (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a)) c)))
(*.f64 b (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (/.f64 #s(literal 1 binary64) c)) (/.f64 #s(literal -1 binary64) a)))
(/.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) c)))))
(-.f64 (*.f64 c (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (/.f64 (/.f64 (*.f64 c a) b) b) b))) (/.f64 b a))
(/.f64 (-.f64 (*.f64 a (/.f64 (+.f64 c (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) b)) b) a)
(*.f64 b (/.f64 (+.f64 (*.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 (*.f64 b b) c) #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 b b) c) a)))
(/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)))))
(/.f64 (+.f64 b (*.f64 b (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) b) b))))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (-.f64 (*.f64 a (+.f64 (/.f64 c b) (*.f64 a (/.f64 (/.f64 (/.f64 (*.f64 c c) b) b) b)))) b) a)
(/.f64 (-.f64 (*.f64 a (+.f64 (/.f64 c b) (/.f64 (/.f64 a (/.f64 b (/.f64 (*.f64 c c) b))) b))) b) a)
(/.f64 (-.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b b)) (*.f64 (*.f64 a #s(literal -2 binary64)) (*.f64 (/.f64 (*.f64 a c) b) #s(literal -2 binary64))))
(*.f64 b (*.f64 (-.f64 (/.f64 (/.f64 c (*.f64 b b)) (/.f64 (*.f64 b b) c)) (/.f64 #s(literal 1 binary64) (*.f64 a a))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal 1 binary64) a)))))
(/.f64 (-.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b b)) (*.f64 (*.f64 a #s(literal -2 binary64)) (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b))))
(/.f64 (*.f64 (+.f64 (/.f64 (/.f64 (*.f64 (*.f64 c c) c) (*.f64 b (*.f64 b b))) (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 a a) a))) b) (+.f64 (/.f64 (/.f64 c (*.f64 b b)) (/.f64 (*.f64 b b) c)) (*.f64 (/.f64 #s(literal -1 binary64) a) (-.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 c (*.f64 b b))))))
(*.f64 b (*.f64 c (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b)))) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (*.f64 b b)) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 c a)) (/.f64 #s(literal 1 binary64) (*.f64 b b))) (-.f64 #s(literal 0 binary64) (*.f64 c a))))))))
(/.f64 #s(literal -1/2 binary64) (/.f64 a (/.f64 (+.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 #s(literal -2 binary64) c)) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)) (*.f64 (*.f64 b b) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 #s(literal -2 binary64) c)) (*.f64 b b))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 #s(literal -2 binary64) c)) (*.f64 b b))))))) (+.f64 (*.f64 b b) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 #s(literal -2 binary64) c)) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)) (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 #s(literal -2 binary64) c)) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)) b))))))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))))
(/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64))))))
(/.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))) (/.f64 a #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))
Outputs
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))
(-.f64 (/.f64 c b) (/.f64 b a))
Calls

1 calls:

19.0ms
b
Results
AccuracySegmentsBranch
84.6%3b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes24.0ms (0.2%)

Counts
50 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
(/.f64 c b)
(/.f64 b (neg.f64 a))
(*.f64 (/.f64 #s(literal -1 binary64) a) b)
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(/.f64 #s(literal -1 binary64) (/.f64 a b))
(/.f64 #s(literal 1 binary64) (/.f64 b c))
(*.f64 b (/.f64 c (*.f64 b b)))
(*.f64 (/.f64 c (*.f64 b b)) b)
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 b #s(literal 1/2 binary64)) c))
(*.f64 b (*.f64 c (/.f64 #s(literal -1 binary64) (*.f64 a c))))
(*.f64 c (+.f64 (/.f64 #s(literal 0 binary64) c) (/.f64 #s(literal -1 binary64) b)))
(*.f64 (*.f64 b (/.f64 #s(literal 1 binary64) (*.f64 b b))) c)
(/.f64 (+.f64 b (-.f64 #s(literal 0 binary64) b)) (*.f64 a #s(literal -2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (/.f64 c b))) a)
(*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a)))
(*.f64 (*.f64 b (*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) b))) c)
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a c)) b) (/.f64 #s(literal -1/2 binary64) a))
(/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 a (*.f64 #s(literal 2 binary64) (*.f64 a c))) b))
(/.f64 #s(literal -1/2 binary64) (/.f64 a (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a c)) b)))
(/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal 2 binary64))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (*.f64 #s(literal 2 binary64) (*.f64 a c))) b)
(/.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 b (*.f64 #s(literal 2 binary64) (*.f64 a c))))
(*.f64 b (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 c b))) (/.f64 #s(literal -1 binary64) a)))
(*.f64 b (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 b c)) (/.f64 #s(literal -1 binary64) a)))
(/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) c) b))))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (/.f64 b a) b) a)) (/.f64 b a))
(*.f64 b (*.f64 c (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (/.f64 #s(literal -1 binary64) (*.f64 a c)))))
(*.f64 b (*.f64 c (/.f64 (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a)) c)))
(*.f64 b (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (/.f64 #s(literal 1 binary64) c)) (/.f64 #s(literal -1 binary64) a)))
(/.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) c)))))
(-.f64 (*.f64 c (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (/.f64 (/.f64 (*.f64 c a) b) b) b))) (/.f64 b a))
(/.f64 (-.f64 (*.f64 a (/.f64 (+.f64 c (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) b)) b) a)
(*.f64 b (/.f64 (+.f64 (*.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 (*.f64 b b) c) #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 b b) c) a)))
(/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)))))
(/.f64 (+.f64 b (*.f64 b (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) b) b))))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (-.f64 (*.f64 a (+.f64 (/.f64 c b) (*.f64 a (/.f64 (/.f64 (/.f64 (*.f64 c c) b) b) b)))) b) a)
(/.f64 (-.f64 (*.f64 a (+.f64 (/.f64 c b) (/.f64 (/.f64 a (/.f64 b (/.f64 (*.f64 c c) b))) b))) b) a)
(/.f64 (-.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b b)) (*.f64 (*.f64 a #s(literal -2 binary64)) (*.f64 (/.f64 (*.f64 a c) b) #s(literal -2 binary64))))
(*.f64 b (*.f64 (-.f64 (/.f64 (/.f64 c (*.f64 b b)) (/.f64 (*.f64 b b) c)) (/.f64 #s(literal 1 binary64) (*.f64 a a))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal 1 binary64) a)))))
(/.f64 (-.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b b)) (*.f64 (*.f64 a #s(literal -2 binary64)) (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b))))
(/.f64 (*.f64 (+.f64 (/.f64 (/.f64 (*.f64 (*.f64 c c) c) (*.f64 b (*.f64 b b))) (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 a a) a))) b) (+.f64 (/.f64 (/.f64 c (*.f64 b b)) (/.f64 (*.f64 b b) c)) (*.f64 (/.f64 #s(literal -1 binary64) a) (-.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 c (*.f64 b b))))))
(*.f64 b (*.f64 c (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b)))) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (*.f64 b b)) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 c a)) (/.f64 #s(literal 1 binary64) (*.f64 b b))) (-.f64 #s(literal 0 binary64) (*.f64 c a))))))))
(/.f64 #s(literal -1/2 binary64) (/.f64 a (/.f64 (+.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 #s(literal -2 binary64) c)) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)) (*.f64 (*.f64 b b) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 #s(literal -2 binary64) c)) (*.f64 b b))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 #s(literal -2 binary64) c)) (*.f64 b b))))))) (+.f64 (*.f64 b b) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 #s(literal -2 binary64) c)) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)) (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 #s(literal -2 binary64) c)) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)) b))))))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))))
(/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64))))))
(/.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))) (/.f64 a #s(literal -1/2 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:

16.0ms
b
Results
AccuracySegmentsBranch
80.5%3b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes21.0ms (0.2%)

Counts
48 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
(/.f64 c b)
(/.f64 b (neg.f64 a))
(*.f64 (/.f64 #s(literal -1 binary64) a) b)
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(/.f64 #s(literal -1 binary64) (/.f64 a b))
(/.f64 #s(literal 1 binary64) (/.f64 b c))
(*.f64 b (/.f64 c (*.f64 b b)))
(*.f64 (/.f64 c (*.f64 b b)) b)
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 b #s(literal 1/2 binary64)) c))
(*.f64 b (*.f64 c (/.f64 #s(literal -1 binary64) (*.f64 a c))))
(*.f64 c (+.f64 (/.f64 #s(literal 0 binary64) c) (/.f64 #s(literal -1 binary64) b)))
(*.f64 (*.f64 b (/.f64 #s(literal 1 binary64) (*.f64 b b))) c)
(/.f64 (+.f64 b (-.f64 #s(literal 0 binary64) b)) (*.f64 a #s(literal -2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (/.f64 c b))) a)
(*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a)))
(*.f64 (*.f64 b (*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) b))) c)
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a c)) b) (/.f64 #s(literal -1/2 binary64) a))
(/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 a (*.f64 #s(literal 2 binary64) (*.f64 a c))) b))
(/.f64 #s(literal -1/2 binary64) (/.f64 a (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a c)) b)))
(/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal 2 binary64))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (*.f64 #s(literal 2 binary64) (*.f64 a c))) b)
(/.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 b (*.f64 #s(literal 2 binary64) (*.f64 a c))))
(*.f64 b (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 c b))) (/.f64 #s(literal -1 binary64) a)))
(*.f64 b (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 b c)) (/.f64 #s(literal -1 binary64) a)))
(/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) c) b))))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (/.f64 b a) b) a)) (/.f64 b a))
(*.f64 b (*.f64 c (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (/.f64 #s(literal -1 binary64) (*.f64 a c)))))
(*.f64 b (*.f64 c (/.f64 (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a)) c)))
(*.f64 b (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (/.f64 #s(literal 1 binary64) c)) (/.f64 #s(literal -1 binary64) a)))
(/.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) c)))))
(-.f64 (*.f64 c (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (/.f64 (/.f64 (*.f64 c a) b) b) b))) (/.f64 b a))
(/.f64 (-.f64 (*.f64 a (/.f64 (+.f64 c (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) b)) b) a)
(*.f64 b (/.f64 (+.f64 (*.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 (*.f64 b b) c) #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 b b) c) a)))
(/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)))))
(/.f64 (+.f64 b (*.f64 b (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) b) b))))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (-.f64 (*.f64 a (+.f64 (/.f64 c b) (*.f64 a (/.f64 (/.f64 (/.f64 (*.f64 c c) b) b) b)))) b) a)
(/.f64 (-.f64 (*.f64 a (+.f64 (/.f64 c b) (/.f64 (/.f64 a (/.f64 b (/.f64 (*.f64 c c) b))) b))) b) a)
(/.f64 (-.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b b)) (*.f64 (*.f64 a #s(literal -2 binary64)) (*.f64 (/.f64 (*.f64 a c) b) #s(literal -2 binary64))))
(*.f64 b (*.f64 (-.f64 (/.f64 (/.f64 c (*.f64 b b)) (/.f64 (*.f64 b b) c)) (/.f64 #s(literal 1 binary64) (*.f64 a a))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal 1 binary64) a)))))
(/.f64 (-.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b b)) (*.f64 (*.f64 a #s(literal -2 binary64)) (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b))))
(/.f64 (*.f64 (+.f64 (/.f64 (/.f64 (*.f64 (*.f64 c c) c) (*.f64 b (*.f64 b b))) (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 a a) a))) b) (+.f64 (/.f64 (/.f64 c (*.f64 b b)) (/.f64 (*.f64 b b) c)) (*.f64 (/.f64 #s(literal -1 binary64) a) (-.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 c (*.f64 b b))))))
(*.f64 b (*.f64 c (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b)))) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (*.f64 b b)) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 c a)) (/.f64 #s(literal 1 binary64) (*.f64 b b))) (-.f64 #s(literal 0 binary64) (*.f64 c a))))))))
(/.f64 #s(literal -1/2 binary64) (/.f64 a (/.f64 (+.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 #s(literal -2 binary64) c)) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)) (*.f64 (*.f64 b b) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 #s(literal -2 binary64) c)) (*.f64 b b))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 #s(literal -2 binary64) c)) (*.f64 b b))))))) (+.f64 (*.f64 b b) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 #s(literal -2 binary64) c)) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)) (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 #s(literal -2 binary64) c)) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)) b))))))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))))
(/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64))))))
Outputs
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64))))))
(-.f64 (/.f64 c b) (/.f64 b a))
Calls

1 calls:

14.0ms
b
Results
AccuracySegmentsBranch
80.5%3b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes23.0ms (0.2%)

Counts
47 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
(/.f64 c b)
(/.f64 b (neg.f64 a))
(*.f64 (/.f64 #s(literal -1 binary64) a) b)
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(/.f64 #s(literal -1 binary64) (/.f64 a b))
(/.f64 #s(literal 1 binary64) (/.f64 b c))
(*.f64 b (/.f64 c (*.f64 b b)))
(*.f64 (/.f64 c (*.f64 b b)) b)
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 b #s(literal 1/2 binary64)) c))
(*.f64 b (*.f64 c (/.f64 #s(literal -1 binary64) (*.f64 a c))))
(*.f64 c (+.f64 (/.f64 #s(literal 0 binary64) c) (/.f64 #s(literal -1 binary64) b)))
(*.f64 (*.f64 b (/.f64 #s(literal 1 binary64) (*.f64 b b))) c)
(/.f64 (+.f64 b (-.f64 #s(literal 0 binary64) b)) (*.f64 a #s(literal -2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (/.f64 c b))) a)
(*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a)))
(*.f64 (*.f64 b (*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) b))) c)
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a c)) b) (/.f64 #s(literal -1/2 binary64) a))
(/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 a (*.f64 #s(literal 2 binary64) (*.f64 a c))) b))
(/.f64 #s(literal -1/2 binary64) (/.f64 a (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a c)) b)))
(/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal 2 binary64))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (*.f64 #s(literal 2 binary64) (*.f64 a c))) b)
(/.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 b (*.f64 #s(literal 2 binary64) (*.f64 a c))))
(*.f64 b (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 c b))) (/.f64 #s(literal -1 binary64) a)))
(*.f64 b (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 b c)) (/.f64 #s(literal -1 binary64) a)))
(/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) c) b))))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (/.f64 b a) b) a)) (/.f64 b a))
(*.f64 b (*.f64 c (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (/.f64 #s(literal -1 binary64) (*.f64 a c)))))
(*.f64 b (*.f64 c (/.f64 (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a)) c)))
(*.f64 b (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (/.f64 #s(literal 1 binary64) c)) (/.f64 #s(literal -1 binary64) a)))
(/.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) c)))))
(-.f64 (*.f64 c (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (/.f64 (/.f64 (*.f64 c a) b) b) b))) (/.f64 b a))
(/.f64 (-.f64 (*.f64 a (/.f64 (+.f64 c (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) b)) b) a)
(*.f64 b (/.f64 (+.f64 (*.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 (*.f64 b b) c) #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 b b) c) a)))
(/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)))))
(/.f64 (+.f64 b (*.f64 b (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) b) b))))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (-.f64 (*.f64 a (+.f64 (/.f64 c b) (*.f64 a (/.f64 (/.f64 (/.f64 (*.f64 c c) b) b) b)))) b) a)
(/.f64 (-.f64 (*.f64 a (+.f64 (/.f64 c b) (/.f64 (/.f64 a (/.f64 b (/.f64 (*.f64 c c) b))) b))) b) a)
(/.f64 (-.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b b)) (*.f64 (*.f64 a #s(literal -2 binary64)) (*.f64 (/.f64 (*.f64 a c) b) #s(literal -2 binary64))))
(*.f64 b (*.f64 (-.f64 (/.f64 (/.f64 c (*.f64 b b)) (/.f64 (*.f64 b b) c)) (/.f64 #s(literal 1 binary64) (*.f64 a a))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal 1 binary64) a)))))
(/.f64 (-.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b b)) (*.f64 (*.f64 a #s(literal -2 binary64)) (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b))))
(/.f64 (*.f64 (+.f64 (/.f64 (/.f64 (*.f64 (*.f64 c c) c) (*.f64 b (*.f64 b b))) (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 a a) a))) b) (+.f64 (/.f64 (/.f64 c (*.f64 b b)) (/.f64 (*.f64 b b) c)) (*.f64 (/.f64 #s(literal -1 binary64) a) (-.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 c (*.f64 b b))))))
(*.f64 b (*.f64 c (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b)))) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (*.f64 b b)) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 c a)) (/.f64 #s(literal 1 binary64) (*.f64 b b))) (-.f64 #s(literal 0 binary64) (*.f64 c a))))))))
(/.f64 #s(literal -1/2 binary64) (/.f64 a (/.f64 (+.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 #s(literal -2 binary64) c)) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)) (*.f64 (*.f64 b b) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 #s(literal -2 binary64) c)) (*.f64 b b))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 #s(literal -2 binary64) c)) (*.f64 b b))))))) (+.f64 (*.f64 b b) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 #s(literal -2 binary64) c)) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)) (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 #s(literal -2 binary64) c)) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)) b))))))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))))
Outputs
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))))
(-.f64 (/.f64 c b) (/.f64 b a))
Calls

1 calls:

14.0ms
b
Results
AccuracySegmentsBranch
80.5%3b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes17.0ms (0.1%)

Counts
46 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
(/.f64 c b)
(/.f64 b (neg.f64 a))
(*.f64 (/.f64 #s(literal -1 binary64) a) b)
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(/.f64 #s(literal -1 binary64) (/.f64 a b))
(/.f64 #s(literal 1 binary64) (/.f64 b c))
(*.f64 b (/.f64 c (*.f64 b b)))
(*.f64 (/.f64 c (*.f64 b b)) b)
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 b #s(literal 1/2 binary64)) c))
(*.f64 b (*.f64 c (/.f64 #s(literal -1 binary64) (*.f64 a c))))
(*.f64 c (+.f64 (/.f64 #s(literal 0 binary64) c) (/.f64 #s(literal -1 binary64) b)))
(*.f64 (*.f64 b (/.f64 #s(literal 1 binary64) (*.f64 b b))) c)
(/.f64 (+.f64 b (-.f64 #s(literal 0 binary64) b)) (*.f64 a #s(literal -2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (/.f64 c b))) a)
(*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a)))
(*.f64 (*.f64 b (*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) b))) c)
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a c)) b) (/.f64 #s(literal -1/2 binary64) a))
(/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 a (*.f64 #s(literal 2 binary64) (*.f64 a c))) b))
(/.f64 #s(literal -1/2 binary64) (/.f64 a (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a c)) b)))
(/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal 2 binary64))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (*.f64 #s(literal 2 binary64) (*.f64 a c))) b)
(/.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 b (*.f64 #s(literal 2 binary64) (*.f64 a c))))
(*.f64 b (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 c b))) (/.f64 #s(literal -1 binary64) a)))
(*.f64 b (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 b c)) (/.f64 #s(literal -1 binary64) a)))
(/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) c) b))))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (/.f64 b a) b) a)) (/.f64 b a))
(*.f64 b (*.f64 c (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (/.f64 #s(literal -1 binary64) (*.f64 a c)))))
(*.f64 b (*.f64 c (/.f64 (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a)) c)))
(*.f64 b (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (/.f64 #s(literal 1 binary64) c)) (/.f64 #s(literal -1 binary64) a)))
(/.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) c)))))
(-.f64 (*.f64 c (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (/.f64 (/.f64 (*.f64 c a) b) b) b))) (/.f64 b a))
(/.f64 (-.f64 (*.f64 a (/.f64 (+.f64 c (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) b)) b) a)
(*.f64 b (/.f64 (+.f64 (*.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 (*.f64 b b) c) #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 b b) c) a)))
(/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)))))
(/.f64 (+.f64 b (*.f64 b (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) b) b))))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (-.f64 (*.f64 a (+.f64 (/.f64 c b) (*.f64 a (/.f64 (/.f64 (/.f64 (*.f64 c c) b) b) b)))) b) a)
(/.f64 (-.f64 (*.f64 a (+.f64 (/.f64 c b) (/.f64 (/.f64 a (/.f64 b (/.f64 (*.f64 c c) b))) b))) b) a)
(/.f64 (-.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b b)) (*.f64 (*.f64 a #s(literal -2 binary64)) (*.f64 (/.f64 (*.f64 a c) b) #s(literal -2 binary64))))
(*.f64 b (*.f64 (-.f64 (/.f64 (/.f64 c (*.f64 b b)) (/.f64 (*.f64 b b) c)) (/.f64 #s(literal 1 binary64) (*.f64 a a))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal 1 binary64) a)))))
(/.f64 (-.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b b)) (*.f64 (*.f64 a #s(literal -2 binary64)) (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b))))
(/.f64 (*.f64 (+.f64 (/.f64 (/.f64 (*.f64 (*.f64 c c) c) (*.f64 b (*.f64 b b))) (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 a a) a))) b) (+.f64 (/.f64 (/.f64 c (*.f64 b b)) (/.f64 (*.f64 b b) c)) (*.f64 (/.f64 #s(literal -1 binary64) a) (-.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 c (*.f64 b b))))))
(*.f64 b (*.f64 c (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b)))) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (*.f64 b b)) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 c a)) (/.f64 #s(literal 1 binary64) (*.f64 b b))) (-.f64 #s(literal 0 binary64) (*.f64 c a))))))))
(/.f64 #s(literal -1/2 binary64) (/.f64 a (/.f64 (+.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 #s(literal -2 binary64) c)) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)) (*.f64 (*.f64 b b) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 #s(literal -2 binary64) c)) (*.f64 b b))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 #s(literal -2 binary64) c)) (*.f64 b b))))))) (+.f64 (*.f64 b b) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 #s(literal -2 binary64) c)) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)) (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 #s(literal -2 binary64) c)) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)) b))))))
Outputs
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
Calls

1 calls:

13.0ms
b
Results
AccuracySegmentsBranch
61.1%2b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes5.0ms (0%)

Counts
10 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
(/.f64 c b)
(/.f64 b (neg.f64 a))
(*.f64 (/.f64 #s(literal -1 binary64) a) b)
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(/.f64 #s(literal -1 binary64) (/.f64 a b))
(/.f64 #s(literal 1 binary64) (/.f64 b c))
(*.f64 b (/.f64 c (*.f64 b b)))
(*.f64 (/.f64 c (*.f64 b b)) b)
Outputs
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(/.f64 b (neg.f64 a))
Calls

1 calls:

4.0ms
b
Results
AccuracySegmentsBranch
60.7%2b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes8.0ms (0.1%)

Counts
5 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
(/.f64 c b)
(/.f64 b (neg.f64 a))
(*.f64 (/.f64 #s(literal -1 binary64) a) b)
(-.f64 #s(literal 0 binary64) (/.f64 b a))
Outputs
#s(literal 0 binary64)
(/.f64 b (neg.f64 a))
Calls

3 calls:

3.0ms
c
2.0ms
a
2.0ms
b
Results
AccuracySegmentsBranch
31.2%1a
31.2%1c
40.5%2b
Compiler

Compiled 12 to 9 computations (25% saved)

regimes5.0ms (0%)

Accuracy

Total -0.6b remaining (-1%)

Threshold costs -0.6b (-1%)

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

3 calls:

2.0ms
a
2.0ms
b
2.0ms
c
Results
AccuracySegmentsBranch
11.8%1a
11.8%1c
11.8%1b
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch64.0ms (0.5%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
19.0ms
3.661401011021297e+70
2.710764723250667e+71
38.0ms
-4.597970957771315e-31
-1.5456699666096786e-41
Results
25.0ms192×0valid
12.0ms38×2valid
6.0ms26×1valid
4.0ms38×0invalid
Compiler

Compiled 502 to 355 computations (29.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 31.0ms
ival-mult: 16.0ms (52% of total)
ival-sub: 4.0ms (13% of total)
ival-div: 3.0ms (9.7% of total)
ival-sqrt: 3.0ms (9.7% of total)
backward-pass: 2.0ms (6.5% of total)
ival-neg: 2.0ms (6.5% of total)
const: 1.0ms (3.2% of total)

bsearch189.0ms (1.5%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
13.0ms
3.661401011021297e+70
2.710764723250667e+71
60.0ms
-4.597970957771315e-31
-1.5456699666096786e-41
Results
42.0ms191×0valid
14.0ms43×2valid
5.0ms22×1valid
3.0ms28×0invalid
Compiler

Compiled 502 to 355 computations (29.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 48.0ms
ival-mult: 33.0ms (68.4% of total)
ival-sub: 4.0ms (8.3% of total)
ival-sqrt: 3.0ms (6.2% of total)
ival-div: 3.0ms (6.2% of total)
backward-pass: 2.0ms (4.1% of total)
ival-neg: 2.0ms (4.1% of total)
const: 1.0ms (2.1% of total)

bsearch66.0ms (0.5%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
21.0ms
3.661401011021297e+70
2.710764723250667e+71
39.0ms
-4.597970957771315e-31
-1.5456699666096786e-41
Results
27.0ms193×0valid
12.0ms37×2valid
5.0ms26×1valid
5.0ms55×0invalid
Compiler

Compiled 502 to 355 computations (29.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 34.0ms
ival-mult: 18.0ms (53.3% of total)
ival-sub: 4.0ms (11.8% of total)
ival-sqrt: 3.0ms (8.9% of total)
ival-div: 3.0ms (8.9% of total)
backward-pass: 2.0ms (5.9% of total)
ival-neg: 2.0ms (5.9% of total)
const: 1.0ms (3% of total)

bsearch71.0ms (0.6%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
19.0ms
1.5725715820801676e+27
8.820948588045198e+30
46.0ms
-4.597970957771315e-31
-1.5456699666096786e-41
Results
36.0ms233×0valid
8.0ms25×2valid
7.0ms30×1valid
3.0ms30×0invalid
Compiler

Compiled 492 to 361 computations (26.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-mult: 10.0ms (37.7% of total)
ival-sub: 4.0ms (15.1% of total)
ival-neg: 4.0ms (15.1% of total)
ival-div: 3.0ms (11.3% of total)
ival-sqrt: 3.0ms (11.3% of total)
backward-pass: 2.0ms (7.5% of total)
const: 1.0ms (3.8% of total)

bsearch72.0ms (0.6%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
23.0ms
1.5725715820801676e+27
8.820948588045198e+30
43.0ms
-4.597970957771315e-31
-1.5456699666096786e-41
Results
26.0ms224×0valid
14.0ms36×2valid
8.0ms28×1valid
5.0ms57×0invalid
Compiler

Compiled 492 to 361 computations (26.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 34.0ms
ival-mult: 12.0ms (35.5% of total)
ival-sub: 8.0ms (23.6% of total)
backward-pass: 4.0ms (11.8% of total)
ival-sqrt: 3.0ms (8.9% of total)
ival-div: 3.0ms (8.9% of total)
ival-neg: 3.0ms (8.9% of total)
const: 1.0ms (3% of total)

bsearch66.0ms (0.5%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
21.0ms
1.5725715820801676e+27
8.820948588045198e+30
39.0ms
-4.597970957771315e-31
-1.5456699666096786e-41
Results
24.0ms227×0valid
11.0ms33×2valid
6.0ms28×1valid
5.0ms48×0invalid
Compiler

Compiled 492 to 361 computations (26.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
ival-mult: 11.0ms (37.9% of total)
ival-sub: 6.0ms (20.7% of total)
ival-div: 3.0ms (10.3% of total)
ival-sqrt: 3.0ms (10.3% of total)
backward-pass: 2.0ms (6.9% of total)
ival-neg: 2.0ms (6.9% of total)
const: 1.0ms (3.4% of total)

bsearch31.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
28.0ms
-2.0021659979321527e-304
1.859419079895983e-308
Results
16.0ms128×0valid
6.0ms63×0invalid
Compiler

Compiled 186 to 131 computations (29.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-mult: 8.0ms (56% of total)
ival-sub: 2.0ms (14% of total)
ival-div: 1.0ms (7% of total)
ival-sqrt: 1.0ms (7% of total)
ival-neg: 1.0ms (7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch30.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
27.0ms
-1.8504552113752173e-297
-2.0021659979321527e-304
Results
14.0ms144×0valid
7.0ms50×0invalid
Compiler

Compiled 179 to 136 computations (24% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 5.0ms (44% of total)
ival-sub: 2.0ms (17.6% of total)
ival-div: 1.0ms (8.8% of total)
ival-sqrt: 1.0ms (8.8% of total)
ival-neg: 1.0ms (8.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch34.0ms (0.3%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
30.0ms
-5.550588432189175e-290
-1.8504552113752173e-297
Results
14.0ms144×0valid
10.0ms71×0invalid
Compiler

Compiled 143 to 118 computations (17.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-mult: 9.0ms (58% of total)
ival-sub: 2.0ms (12.9% of total)
ival-div: 2.0ms (12.9% of total)
ival-sqrt: 2.0ms (12.9% of total)
ival-neg: 1.0ms (6.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify26.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
28×*-commutative_binary64
22×+-commutative_binary64
12×sub-neg_binary64
10×neg-mul-1_binary64
8×neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
080235
1103235
2115235
3123235
4128235
5130235
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 b #s(literal -4559885108472417/11692013098647223345629478661730264157247460343808 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (if (<=.f64 b #s(literal 214999999999999991840577938607508247569671577244209874345958789582159872 binary64)) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b #s(literal -1646235444289529/1496577676626844588240573268701473812127674924007424 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (if (<=.f64 b #s(literal 269999999999999996596054710024560608687555683349923173708829909225308160 binary64)) (/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b #s(literal -8045601589545917/95780971304118053647396689196894323976171195136475136 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (if (<=.f64 b #s(literal 269999999999999996596054710024560608687555683349923173708829909225308160 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b #s(literal -4167563262701403/11417981541647679048466287755595961091061972992 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (if (<=.f64 b #s(literal 1600000000000000076235669504 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 -221493496140773/11972621413014756705924586149611790497021399392059392 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (if (<=.f64 b #s(literal 1699999999999999995101052928 binary64)) (/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b #s(literal -4789048565205903/2993155353253689176481146537402947624255349848014848 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (if (<=.f64 b #s(literal 1600000000000000076235669504 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (-.f64 (/.f64 c b) (/.f64 b a)))
(if (<=.f64 b #s(literal -5064997793945151/24707306311927565716857342128774085333197833223161879682238935306082805123046306993647507776054336486228891340858985829027076261887914242781617846672453431386903982455635542158748401823985988322905245077938567513252198179128990807936780194781391547404884040101606295111368825026273254703636026307207764436438929167613952 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (/.f64 b (neg.f64 a)))
(if (<=.f64 b #s(literal -5596146821100995/2945340432158418383223693624588738123559693482299075088767878449688292160397327779966295692450325070170031945807812908771881611572255401942922812303597144053805349165872996110766935565946816006053119311086960734516644260779498911850068592403100913453684334767056261910363295677456051671938422478104563288264146944 binary64)) #s(literal 0 binary64) (/.f64 b (neg.f64 a)))
#s(literal 0 binary64)
Outputs
(if (<=.f64 b #s(literal -4559885108472417/11692013098647223345629478661730264157247460343808 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (if (<=.f64 b #s(literal 214999999999999991840577938607508247569671577244209874345958789582159872 binary64)) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b #s(literal -1646235444289529/1496577676626844588240573268701473812127674924007424 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (if (<=.f64 b #s(literal 269999999999999996596054710024560608687555683349923173708829909225308160 binary64)) (/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b #s(literal -8045601589545917/95780971304118053647396689196894323976171195136475136 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (if (<=.f64 b #s(literal 269999999999999996596054710024560608687555683349923173708829909225308160 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b #s(literal -8045601589545917/95780971304118053647396689196894323976171195136475136 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (if (<=.f64 b #s(literal 269999999999999996596054710024560608687555683349923173708829909225308160 binary64)) (*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (/.f64 #s(literal -1/2 binary64) a)) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b #s(literal -4167563262701403/11417981541647679048466287755595961091061972992 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (if (<=.f64 b #s(literal 1600000000000000076235669504 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 -221493496140773/11972621413014756705924586149611790497021399392059392 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (if (<=.f64 b #s(literal 1699999999999999995101052928 binary64)) (/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b #s(literal -221493496140773/11972621413014756705924586149611790497021399392059392 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (if (<=.f64 b #s(literal 1699999999999999995101052928 binary64)) (/.f64 #s(literal -1/2 binary64) (/.f64 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 -4789048565205903/2993155353253689176481146537402947624255349848014848 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (if (<=.f64 b #s(literal 1600000000000000076235669504 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (-.f64 (/.f64 c b) (/.f64 b a)))
(if (<=.f64 b #s(literal -5064997793945151/24707306311927565716857342128774085333197833223161879682238935306082805123046306993647507776054336486228891340858985829027076261887914242781617846672453431386903982455635542158748401823985988322905245077938567513252198179128990807936780194781391547404884040101606295111368825026273254703636026307207764436438929167613952 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (/.f64 b (neg.f64 a)))
(if (<=.f64 b #s(literal -5064997793945151/24707306311927565716857342128774085333197833223161879682238935306082805123046306993647507776054336486228891340858985829027076261887914242781617846672453431386903982455635542158748401823985988322905245077938567513252198179128990807936780194781391547404884040101606295111368825026273254703636026307207764436438929167613952 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (-.f64 #s(literal 0 binary64) (/.f64 b a)))
(if (<=.f64 b #s(literal -5596146821100995/2945340432158418383223693624588738123559693482299075088767878449688292160397327779966295692450325070170031945807812908771881611572255401942922812303597144053805349165872996110766935565946816006053119311086960734516644260779498911850068592403100913453684334767056261910363295677456051671938422478104563288264146944 binary64)) #s(literal 0 binary64) (/.f64 b (neg.f64 a)))
(if (<=.f64 b #s(literal -5596146821100995/2945340432158418383223693624588738123559693482299075088767878449688292160397327779966295692450325070170031945807812908771881611572255401942922812303597144053805349165872996110766935565946816006053119311086960734516644260779498911850068592403100913453684334767056261910363295677456051671938422478104563288264146944 binary64)) #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 b a)))
#s(literal 0 binary64)

soundness2.1s (16.5%)

Rules
6668×*-lowering-*.f32
6668×*-lowering-*.f64
6530×*-lowering-*.f32
6530×*-lowering-*.f64
6082×*-lowering-*.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01343
16039
250639
3642939
0811339
01416
13916
210115
327014
449414
5100314
6316414
7581214
8644814
9737814
10754314
11758314
12758914
0758914
05062937
117242730
263482677
080722677
07176548
125185689
090435689
012049698
143808837
083158837
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×saturated
1×iter limit
1×node limit
Compiler

Compiled 724 to 433 computations (40.2% saved)

preprocess77.0ms (0.6%)

Compiler

Compiled 752 to 242 computations (67.8% saved)

end0.0ms (0%)

Profiling

Loading profile data...