quadm (p42, negative)

Time bar (total: 15.0s)

analyze234.0ms (1.6%)

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: 131.0ms
ival-mult: 56.0ms (42.8% of total)
ival-sub: 41.0ms (31.3% of total)
ival-div: 12.0ms (9.2% of total)
ival-sqrt: 11.0ms (8.4% of total)
ival-neg: 8.0ms (6.1% of total)
const: 3.0ms (2.3% of total)
backward-pass: 1.0ms (0.8% of total)

sample2.1s (14%)

Results
663.0ms1908×2valid
624.0ms5549×0valid
255.0ms799×1valid
116.0ms997×0invalid
Precisions
Click to see histograms. Total time spent on operations: 1.1s
ival-mult: 416.0ms (37.6% of total)
ival-sub: 161.0ms (14.5% of total)
ival-neg: 154.0ms (13.9% of total)
ival-sqrt: 149.0ms (13.5% of total)
ival-div: 119.0ms (10.8% of total)
backward-pass: 85.0ms (7.7% of total)
const: 21.0ms (1.9% of total)
Bogosity

preprocess240.0ms (1.6%)

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
2664144
32342140
46961140
01416
13916
210115
327014
449414
5100314
6316114
7580614
8644214
9737214
10753714
11757714
12758314
0758314
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))

explain212.0ms (1.4%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1040-1(-3.768529557261461e-291 -5.876543543093089e-157 -2.4163353339209607e-221)(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))
640-0-(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))))
150-1(-3.612445267849595e-75 -5.413816804912524e+286 -3.593364306002557e+40)(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a))
40-0-(-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))
00-0-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
72.0ms334×0valid
66.0ms120×2valid
21.0ms58×1valid
Compiler

Compiled 168 to 44 computations (73.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 63.0ms
ival-mult: 23.0ms (36.3% of total)
ival-sub: 9.0ms (14.2% of total)
ival-sqrt: 9.0ms (14.2% of total)
backward-pass: 9.0ms (14.2% of total)
ival-div: 6.0ms (9.5% of total)
ival-neg: 6.0ms (9.5% of total)
const: 1.0ms (1.6% 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
▶51.8%
(/.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%)

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)

localize101.0ms (0.7%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy98.7%
(+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))
✓accuracy94.7%
(/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64)))
✓accuracy76.8%
(+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))
✓accuracy62.2%
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))
Results
39.0ms60×2valid
31.0ms167×0valid
9.0ms29×1valid
Compiler

Compiled 70 to 14 computations (80% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-mult: 11.0ms (40.7% of total)
ival-add: 4.0ms (14.8% of total)
ival-sqrt: 4.0ms (14.8% of total)
backward-pass: 4.0ms (14.8% of total)
ival-div: 3.0ms (11.1% of total)
const: 1.0ms (3.7% of total)

series28.0ms (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
11.0ms
b
@0
(/ (+ b (sqrt (+ (* b b) (* a (* c -4))))) (* a -2))
1.0ms
a
@inf
(/ (+ 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))
1.0ms
a
@-inf
(/ (+ b (sqrt (+ (* b b) (* a (* c -4))))) (* a -2))

rewrite246.0ms (1.6%)

Algorithm
1×batch-egg-rewrite
Rules
1830×*-lowering-*.f32
1830×*-lowering-*.f64
1474×fnmadd-define
1466×/-lowering-/.f32
1466×/-lowering-/.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01343
13639
211839
344339
4184539
5681839
0830739
Stop Event
1×iter limit
1×node limit
Counts
4 → 316
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 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (/.f64 a #s(literal -1/2 binary64))) #s(literal 0 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 -1/2 binary64))))
(+.f64 (/.f64 b (/.f64 a #s(literal -1/2 binary64))) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 a #s(literal -1/2 binary64))))
(+.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 a #s(literal -1/2 binary64))) (/.f64 b (/.f64 a #s(literal -1/2 binary64))))
(+.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) #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 -1/2 binary64))))
(exp.f64 (log.f64 (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (/.f64 a #s(literal -1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (/.f64 a #s(literal -1/2 binary64)))) #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 1/2 binary64))))
(-.f64 (/.f64 b (/.f64 a #s(literal -1/2 binary64))) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 a #s(literal 1/2 binary64))))
(-.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 a #s(literal -1/2 binary64))) (/.f64 b (/.f64 a #s(literal 1/2 binary64))))
(-.f64 (/.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 a #s(literal 1/2 binary64))) #s(literal -1 binary64)) (/.f64 (/.f64 b (/.f64 a #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(-.f64 (/.f64 (/.f64 b (/.f64 a #s(literal 1/2 binary64))) #s(literal -1 binary64)) (/.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 a #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(-.f64 (/.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 a #s(literal -1/2 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 b (/.f64 a #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 b (/.f64 a #s(literal -1/2 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 a #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) (+.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 1/2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (/.f64 a #s(literal -1/2 binary64)) (/.f64 #s(literal -1/2 binary64) a))) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (/.f64 a #s(literal 1/2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (/.f64 a #s(literal -1/2 binary64)) (/.f64 #s(literal 1/2 binary64) a))) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (/.f64 a #s(literal 1/2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (/.f64 a #s(literal 1/2 binary64)))) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (/.f64 a #s(literal 1/2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) (/.f64 a #s(literal 1/2 binary64)))) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (/.f64 a #s(literal 1/2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 a (/.f64 a #s(literal -1/2 binary64)))) (/.f64 (/.f64 (/.f64 a #s(literal -1/2 binary64)) (/.f64 #s(literal 2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))) (*.f64 a (/.f64 a #s(literal -1/2 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 a (/.f64 a #s(literal 1/2 binary64)))) (/.f64 (/.f64 (/.f64 a #s(literal -1/2 binary64)) (/.f64 #s(literal -2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))) (*.f64 a (/.f64 a #s(literal 1/2 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (/.f64 a #s(literal -1/2 binary64)) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (/.f64 a #s(literal -1/2 binary64))))) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (/.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 a (*.f64 c #s(literal -4 binary64))))) (/.f64 a #s(literal -1/2 binary64))))
(fma.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 a #s(literal -1/2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (-.f64 #s(literal 0 binary64) a)) (/.f64 b (/.f64 a #s(literal -1/2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 0 binary64) b) a) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 a #s(literal -1/2 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 b (/.f64 a #s(literal -1/2 binary64))) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 a #s(literal -1/2 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 a #s(literal -1/2 binary64))) (/.f64 b (/.f64 a #s(literal -1/2 binary64))))
(fma.f64 (/.f64 #s(literal -1/2 binary64) a) b (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 a #s(literal -1/2 binary64))))
(fma.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 b (/.f64 a #s(literal -1/2 binary64))))
(fma.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 a #s(literal 1/2 binary64))) (/.f64 b (/.f64 a #s(literal -1/2 binary64))))
(fma.f64 #s(literal -1 binary64) (/.f64 b (/.f64 a #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 a #s(literal -1/2 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 b #s(literal -2 binary64)) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 a #s(literal -1/2 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) #s(literal -2 binary64)) (/.f64 b (/.f64 a #s(literal -1/2 binary64))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) a) #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 -1/2 binary64))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(literal 0 binary64) b) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 a #s(literal -1/2 binary64))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (/.f64 b (/.f64 a #s(literal -1/2 binary64))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 a #s(literal -1/2 binary64))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) a) (/.f64 b (/.f64 a #s(literal -1/2 binary64))))
(fma.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 #s(literal 1/2 binary64) a) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 a #s(literal -1/2 binary64))))
(fma.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (/.f64 #s(literal 1/2 binary64) a) (/.f64 b (/.f64 a #s(literal -1/2 binary64))))
(fma.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) #s(literal 2 binary64)) (/.f64 b (/.f64 a #s(literal -1/2 binary64))))
(fma.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 b #s(literal 2 binary64)) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 a #s(literal -1/2 binary64))))
(fma.f64 (/.f64 b (/.f64 a #s(literal -1/2 binary64))) #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 a #s(literal -1/2 binary64))))
(fma.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 a #s(literal -1/2 binary64))) #s(literal 1 binary64) (/.f64 b (/.f64 a #s(literal -1/2 binary64))))
(fma.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 a #s(literal 1/2 binary64))) #s(literal -1 binary64) (/.f64 b (/.f64 a #s(literal -1/2 binary64))))
(fma.f64 (/.f64 b (/.f64 a #s(literal 1/2 binary64))) #s(literal -1 binary64) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 a #s(literal -1/2 binary64))))
(fma.f64 (/.f64 b #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) a) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 a #s(literal -1/2 binary64))))
(fma.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) a) (/.f64 b (/.f64 a #s(literal -1/2 binary64))))
(fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 a #s(literal -1/2 binary64))))
(fma.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) a) #s(literal -1/2 binary64) (/.f64 b (/.f64 a #s(literal -1/2 binary64))))
(fma.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) a) (/.f64 b (/.f64 a #s(literal -1/2 binary64))))
(fma.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (-.f64 #s(literal 0 binary64) a)) #s(literal 1/2 binary64) (/.f64 b (/.f64 a #s(literal -1/2 binary64))))
(fma.f64 (/.f64 b #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) a) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 a #s(literal -1/2 binary64))))
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) b) a) #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 a #s(literal -1/2 binary64))))
(fma.f64 (/.f64 (/.f64 b #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) a) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 a #s(literal -1/2 binary64))))
(fma.f64 (/.f64 (/.f64 b #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) a) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 a #s(literal -1/2 binary64))))
(fma.f64 (/.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) a) (/.f64 b (/.f64 a #s(literal -1/2 binary64))))
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(fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))
(fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))
(fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))
(fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))
(fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 b b))

simplify305.0ms (2%)

Algorithm
1×egg-herbie
Rules
6066×*-lowering-*.f32
6066×*-lowering-*.f64
2282×+-lowering-+.f64
2282×+-lowering-+.f32
1498×sum3-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05062937
117082730
263332683
080432683
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)))))
(+.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 -1/64 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (*.f64 c (*.f64 c c)))) (*.f64 b b)) (sqrt.f64 #s(literal -4 binary64)))))) (/.f64 #s(literal -1/2 binary64) a))))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a)))
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))
(*.f64 b (+.f64 (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a))))
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))
(*.f64 b (+.f64 (+.f64 (/.f64 c (*.f64 b b)) (/.f64 (*.f64 a (*.f64 c c)) (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 c (+.f64 (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64)))))) (-.f64 #s(literal 0 binary64) b))
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))
(/.f64 (+.f64 c (+.f64 (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (+.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #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)) a)
(/.f64 (-.f64 (/.f64 (*.f64 c a) b) b) a)
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/.f64 (-.f64 (*.f64 a (+.f64 (/.f64 c b) (*.f64 a (*.f64 c (/.f64 (/.f64 c (*.f64 b b)) b))))) b) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)
(/.f64 (-.f64 (*.f64 a (+.f64 (/.f64 c b) (*.f64 a (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 c (*.f64 a (*.f64 c c)))) (pow.f64 b #s(literal 5 binary64))) (*.f64 c (/.f64 (/.f64 c (*.f64 b 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)))))))
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b
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(* (sqrt (* a c)) (sqrt -4))
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(* -2 (* (sqrt (* a c)) (sqrt -1)))
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b
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(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a)))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
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(* -2 (* (sqrt (* a c)) (sqrt -1)))
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(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
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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)))))
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(pow b 2)
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(pow b 2)
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(-.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))))

eval57.0ms (0.4%)

Compiler

Compiled 11128 to 1414 computations (87.3% saved)

prune124.0ms (0.8%)

Pruning

18 alts after pruning (18 fresh and 0 done)

PrunedKeptTotal
New44218460
Fresh000
Picked101
Done000
Total44318461
Accuracy
90.6%
Counts
461 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶21.4%
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 c a) (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)))) b) (*.f64 a #s(literal -2 binary64)))
28.7%
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 c a)) b) (*.f64 a #s(literal -2 binary64)))
30.9%
(/.f64 (-.f64 (/.f64 (*.f64 c a) b) b) a)
41.1%
(/.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 #s(literal -2 binary64) (neg.f64 (*.f64 a (/.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))))))
9.9%
(/.f64 (+.f64 b (*.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64))) b)) #s(literal -1 binary64)))) (*.f64 a #s(literal -2 binary64)))
▶34.2%
(/.f64 (+.f64 b (sqrt.f64 (*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (*.f64 a (/.f64 c (*.f64 b b)))))))) (*.f64 a #s(literal -2 binary64)))
34.8%
(/.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64)))
37.1%
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))) (*.f64 #s(literal -2 binary64) (*.f64 a a)))
37.0%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (/.f64 a #s(literal 1/2 binary64))) (+.f64 #s(literal 0 binary64) (/.f64 (/.f64 a #s(literal -1/2 binary64)) (/.f64 #s(literal 2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))))))
51.6%
(/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))
32.2%
(-.f64 (/.f64 c b) (/.f64 b a))
31.7%
(-.f64 (*.f64 c (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (*.f64 a (/.f64 c (*.f64 b b))) b))) (/.f64 b a))
36.9%
(-.f64 #s(literal 0 binary64) (/.f64 c b))
▶32.1%
(-.f64 #s(literal 0 binary64) (/.f64 b a))
38.6%
(*.f64 (/.f64 #s(literal 1 binary64) (+.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 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (/.f64 a #s(literal 1/2 binary64))))))
▶51.7%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))
37.0%
(*.f64 (*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #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 #s(literal 1/2 binary64) a))))
▶31.5%
(*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a)))
Compiler

Compiled 750 to 476 computations (36.5% saved)

simplify171.0ms (1.1%)

Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(sqrt.f64 (*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (*.f64 a (/.f64 c (*.f64 b b)))))))
✓cost-diff0
(+.f64 b (sqrt.f64 (*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (*.f64 a (/.f64 c (*.f64 b b))))))))
✓cost-diff0
(/.f64 (+.f64 b (sqrt.f64 (*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (*.f64 a (/.f64 c (*.f64 b b)))))))) (*.f64 a #s(literal -2 binary64)))
✓cost-diff384
(*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (*.f64 a (/.f64 c (*.f64 b b))))))
✓cost-diff0
(*.f64 #s(literal 2 binary64) (+.f64 (*.f64 c a) (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b))))
✓cost-diff0
(/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 c a) (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)))) b)
✓cost-diff128
(+.f64 (*.f64 c a) (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)))
✓cost-diff128
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 c a) (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)))) b) (*.f64 a #s(literal -2 binary64)))
✓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 #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
4082×*-lowering-*.f32
4082×*-lowering-*.f64
1762×sum3-define
1370×/-lowering-/.f32
1370×/-lowering-/.f64
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
041285
1119268
2334261
31126252
43066248
54073247
65468246
08409246
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
(- 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
(/ (/ (* 2 (+ (* c a) (/ (* c (* c (* a a))) (* b b)))) b) (* a -2))
(/ (* 2 (+ (* c a) (/ (* c (* c (* a a))) (* b b)))) b)
(* 2 (+ (* c a) (/ (* c (* c (* a a))) (* b b))))
2
(+ (* c a) (/ (* c (* c (* a a))) (* b b)))
(* c a)
c
a
(/ (* c (* c (* a a))) (* b b))
(* c (* c (* a a)))
(* c (* a a))
(* a a)
(* b b)
b
(* a -2)
-2
(/ (+ b (sqrt (* (* b b) (+ 1 (* -4 (* a (/ c (* b b)))))))) (* a -2))
(+ b (sqrt (* (* b b) (+ 1 (* -4 (* a (/ c (* b b))))))))
b
(sqrt (* (* b b) (+ 1 (* -4 (* a (/ c (* b b)))))))
(* (* b b) (+ 1 (* -4 (* a (/ c (* b b))))))
(* b b)
(+ 1 (* -4 (* a (/ c (* b b)))))
1
(* -4 (* a (/ c (* b b))))
-4
(* a (/ c (* b b)))
a
(/ c (* b b))
c
(* a -2)
-2
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)
(- 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
(/ (/ (* 2 (+ (* c a) (/ (* c (* c (* a a))) (* b b)))) b) (* a -2))
(/.f64 (*.f64 a (*.f64 c (+.f64 #s(literal 1 binary64) (*.f64 c (/.f64 a (*.f64 b b)))))) (-.f64 #s(literal 0 binary64) (*.f64 a b)))
(/ (* 2 (+ (* c a) (/ (* c (* c (* a a))) (* b b)))) b)
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a (*.f64 c (+.f64 #s(literal 1 binary64) (*.f64 c (/.f64 a (*.f64 b b))))))) b)
(* 2 (+ (* c a) (/ (* c (* c (* a a))) (* b b))))
(*.f64 #s(literal 2 binary64) (*.f64 a (*.f64 c (+.f64 #s(literal 1 binary64) (*.f64 c (/.f64 a (*.f64 b b)))))))
2
#s(literal 2 binary64)
(+ (* c a) (/ (* c (* c (* a a))) (* b b)))
(*.f64 a (*.f64 c (+.f64 #s(literal 1 binary64) (*.f64 c (/.f64 a (*.f64 b b))))))
(* c a)
(*.f64 a c)
c
a
(/ (* c (* c (* a a))) (* b b))
(/.f64 (*.f64 c (*.f64 a (*.f64 a c))) (*.f64 b b))
(* c (* c (* a a)))
(*.f64 c (*.f64 a (*.f64 a c)))
(* c (* a a))
(*.f64 a (*.f64 a c))
(* a a)
(*.f64 a a)
(* b b)
(*.f64 b b)
b
(* a -2)
(*.f64 a #s(literal -2 binary64))
-2
#s(literal -2 binary64)
(/ (+ b (sqrt (* (* b b) (+ 1 (* -4 (* a (/ c (* b b)))))))) (* 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) (+ 1 (* -4 (* a (/ c (* b b))))))))
(+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))
b
(sqrt (* (* b b) (+ 1 (* -4 (* a (/ c (* b b)))))))
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))
(* (* b b) (+ 1 (* -4 (* a (/ c (* b b))))))
(+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))
(* b b)
(*.f64 b b)
(+ 1 (* -4 (* a (/ c (* b b)))))
(+.f64 #s(literal 1 binary64) (*.f64 a (/.f64 (*.f64 c (/.f64 #s(literal -4 binary64) b)) b)))
1
#s(literal 1 binary64)
(* -4 (* a (/ c (* b b))))
(*.f64 a (/.f64 (*.f64 c (/.f64 #s(literal -4 binary64) b)) b))
-4
#s(literal -4 binary64)
(* a (/ c (* b b)))
(*.f64 c (/.f64 a (*.f64 b b)))
a
(/ c (* b b))
(/.f64 c (*.f64 b b))
c
(* a -2)
(*.f64 a #s(literal -2 binary64))
-2
#s(literal -2 binary64)

localize382.0ms (2.6%)

Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy85.3%
(/.f64 c (*.f64 b b))
✓accuracy82.9%
(*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (*.f64 a (/.f64 c (*.f64 b b))))))
✓accuracy76.8%
(+.f64 b (sqrt.f64 (*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (*.f64 a (/.f64 c (*.f64 b b))))))))
✓accuracy62.2%
(sqrt.f64 (*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (*.f64 a (/.f64 c (*.f64 b b)))))))
✓accuracy92.7%
(+.f64 (*.f64 c a) (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)))
✓accuracy89.3%
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 c a) (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)))) b) (*.f64 a #s(literal -2 binary64)))
✓accuracy88.6%
(*.f64 c (*.f64 a a))
✓accuracy76.1%
(/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b))
✓accuracy100.0%
(*.f64 b b)
✓accuracy100.0%
(+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a))
✓accuracy92.9%
(*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a)))
✓accuracy85.3%
(/.f64 c (*.f64 b b))
✓accuracy100.0%
(/.f64 b a)
✓accuracy100.0%
(-.f64 #s(literal 0 binary64) (/.f64 b a))
✓accuracy98.7%
(+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))
✓accuracy94.6%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))
✓accuracy76.8%
(+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))
✓accuracy62.2%
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))
Results
149.0ms60×2valid
134.0ms167×0valid
33.0ms29×1valid
Compiler

Compiled 345 to 42 computations (87.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 134.0ms
ival-mult: 70.0ms (52.3% of total)
ival-div: 26.0ms (19.4% of total)
backward-pass: 14.0ms (10.5% of total)
ival-add: 13.0ms (9.7% of total)
ival-sqrt: 7.0ms (5.2% of total)
ival-sub: 2.0ms (1.5% of total)
const: 2.0ms (1.5% of total)

series54.0ms (0.4%)

Counts
21 → 660
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 (- 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 (/ (/ (* 2 (+ (* c a) (/ (* c (* c (* a a))) (* b b)))) b) (* a -2))>
#<alt (+ (* c a) (/ (* c (* c (* a a))) (* b b)))>
#<alt (/ (* 2 (+ (* c a) (/ (* c (* c (* a a))) (* b b)))) b)>
#<alt (* 2 (+ (* c a) (/ (* c (* c (* a a))) (* b b))))>
#<alt (* (* b b) (+ 1 (* -4 (* a (/ c (* b b))))))>
#<alt (/ (+ b (sqrt (* (* b b) (+ 1 (* -4 (* a (/ c (* b b)))))))) (* a -2))>
#<alt (+ b (sqrt (* (* b b) (+ 1 (* -4 (* a (/ c (* b b))))))))>
#<alt (sqrt (* (* b b) (+ 1 (* -4 (* a (/ c (* b b)))))))>
#<alt (+ (* b b) (* a (* c -4)))>
#<alt (/ (* c (* c (* a a))) (* b b))>
#<alt (* c (* a a))>
Outputs
#<alt (* -1 (/ b a))>
#<alt (/ (+ (* -1 b) (/ (* a c) b)) a)>
#<alt (/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)>
#<alt (/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)>
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))>
#<alt (* -1 (/ b a))>
#<alt (* b (- (/ c (pow b 2)) (/ 1 a)))>
#<alt (* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))>
#<alt (* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))>
#<alt (* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))>
#<alt (* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))>
#<alt (* -1 (/ b a))>
#<alt (+ (* -1 (/ b a)) (/ c b))>
#<alt (+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))>
#<alt (+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))>
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))>
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))>
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))>
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#<alt (/ -1/2 a)>
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#<alt (* 2 b)>
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#<alt (* (pow c 2) (+ (* 2 (/ a (* b c))) (* 2 (/ (pow a 2) (pow b 3)))))>
#<alt (* (pow c 2) (+ (* 2 (/ a (* b c))) (* 2 (/ (pow a 2) (pow b 3)))))>
#<alt (* 2 (/ (* a c) b))>
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#<alt (* a (+ (* 2 (/ c b)) (* 2 (/ (* a (pow c 2)) (pow b 3)))))>
#<alt (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 3)))>
#<alt (* (pow a 2) (+ (* 2 (/ c (* a b))) (* 2 (/ (pow c 2) (pow b 3)))))>
#<alt (* (pow a 2) (+ (* 2 (/ c (* a b))) (* 2 (/ (pow c 2) (pow b 3)))))>
#<alt (* (pow a 2) (+ (* 2 (/ c (* a b))) (* 2 (/ (pow c 2) (pow b 3)))))>
#<alt (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 3)))>
#<alt (* (pow a 2) (+ (* 2 (/ c (* a b))) (* 2 (/ (pow c 2) (pow b 3)))))>
#<alt (* (pow a 2) (+ (* 2 (/ c (* a b))) (* 2 (/ (pow c 2) (pow b 3)))))>
#<alt (* (pow a 2) (+ (* 2 (/ c (* a b))) (* 2 (/ (pow c 2) (pow b 3)))))>
#<alt (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 3)))>
#<alt (/ (+ (* 2 (* a (* (pow b 2) c))) (* 2 (* (pow a 2) (pow c 2)))) (pow b 3))>
#<alt (/ (+ (* 2 (* a (* (pow b 2) c))) (* 2 (* (pow a 2) (pow c 2)))) (pow b 3))>
#<alt (/ (+ (* 2 (* a (* (pow b 2) c))) (* 2 (* (pow a 2) (pow c 2)))) (pow b 3))>
#<alt (* 2 (/ (* a c) b))>
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#<alt (/ (+ (* 2 (* a c)) (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)>
#<alt (* 2 (/ (* a c) b))>
#<alt (* -1 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))>
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#<alt (* -1 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))>
#<alt (* 2 (* a c))>
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#<alt (* c (+ (* 2 a) (* 2 (/ (* (pow a 2) c) (pow b 2)))))>
#<alt (* c (+ (* 2 a) (* 2 (/ (* (pow a 2) c) (pow b 2)))))>
#<alt (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))>
#<alt (* (pow c 2) (+ (* 2 (/ a c)) (* 2 (/ (pow a 2) (pow b 2)))))>
#<alt (* (pow c 2) (+ (* 2 (/ a c)) (* 2 (/ (pow a 2) (pow b 2)))))>
#<alt (* (pow c 2) (+ (* 2 (/ a c)) (* 2 (/ (pow a 2) (pow b 2)))))>
#<alt (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))>
#<alt (* (pow c 2) (+ (* 2 (/ a c)) (* 2 (/ (pow a 2) (pow b 2)))))>
#<alt (* (pow c 2) (+ (* 2 (/ a c)) (* 2 (/ (pow a 2) (pow b 2)))))>
#<alt (* (pow c 2) (+ (* 2 (/ a c)) (* 2 (/ (pow a 2) (pow b 2)))))>
#<alt (* 2 (* a c))>
#<alt (* a (+ (* 2 c) (* 2 (/ (* a (pow c 2)) (pow b 2)))))>
#<alt (* a (+ (* 2 c) (* 2 (/ (* a (pow c 2)) (pow b 2)))))>
#<alt (* a (+ (* 2 c) (* 2 (/ (* a (pow c 2)) (pow b 2)))))>
#<alt (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))>
#<alt (* (pow a 2) (+ (* 2 (/ c a)) (* 2 (/ (pow c 2) (pow b 2)))))>
#<alt (* (pow a 2) (+ (* 2 (/ c a)) (* 2 (/ (pow c 2) (pow b 2)))))>
#<alt (* (pow a 2) (+ (* 2 (/ c a)) (* 2 (/ (pow c 2) (pow b 2)))))>
#<alt (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))>
#<alt (* (pow a 2) (+ (* 2 (/ c a)) (* 2 (/ (pow c 2) (pow b 2)))))>
#<alt (* (pow a 2) (+ (* 2 (/ c a)) (* 2 (/ (pow c 2) (pow b 2)))))>
#<alt (* (pow a 2) (+ (* 2 (/ c a)) (* 2 (/ (pow c 2) (pow b 2)))))>
#<alt (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))>
#<alt (/ (+ (* 2 (* a (* (pow b 2) c))) (* 2 (* (pow a 2) (pow c 2)))) (pow b 2))>
#<alt (/ (+ (* 2 (* a (* (pow b 2) c))) (* 2 (* (pow a 2) (pow c 2)))) (pow b 2))>
#<alt (/ (+ (* 2 (* a (* (pow b 2) c))) (* 2 (* (pow a 2) (pow c 2)))) (pow b 2))>
#<alt (* 2 (* a c))>
#<alt (+ (* 2 (* a c)) (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))>
#<alt (+ (* 2 (* a c)) (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))>
#<alt (+ (* 2 (* a c)) (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))>
#<alt (* 2 (* a c))>
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#<alt (+ (* 2 (* a c)) (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))>
#<alt (+ (* 2 (* a c)) (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))>
#<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)>
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#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (* -4 (* a c))>
#<alt (* c (+ (* -4 a) (/ (pow b 2) c)))>
#<alt (* c (+ (* -4 a) (/ (pow b 2) c)))>
#<alt (* c (+ (* -4 a) (/ (pow b 2) c)))>
#<alt (* -4 (* a c))>
#<alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))>
#<alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))>
#<alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))>
#<alt (* -1/2 (* (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))>
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#<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)))>
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#<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))>
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#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))>
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#<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))>
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#<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))>
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#<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))>
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#<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)>
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#<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))>
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#<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)))>
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#<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)>
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#<alt (+ (* 2 b) (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))>
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#<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)>
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#<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))))>
#<alt (/ (* (pow a 2) (pow c 2)) (pow b 2))>
#<alt (/ (* (pow a 2) (pow c 2)) (pow b 2))>
#<alt (/ (* (pow a 2) (pow c 2)) (pow b 2))>
#<alt (/ (* (pow a 2) (pow c 2)) (pow b 2))>
#<alt (/ (* (pow a 2) (pow c 2)) (pow b 2))>
#<alt (/ (* (pow a 2) (pow c 2)) (pow b 2))>
#<alt (/ (* (pow a 2) (pow c 2)) (pow b 2))>
#<alt (/ (* (pow a 2) (pow c 2)) (pow b 2))>
#<alt (/ (* (pow a 2) (pow c 2)) (pow b 2))>
#<alt (/ (* (pow a 2) (pow c 2)) (pow b 2))>
#<alt (/ (* (pow a 2) (pow c 2)) (pow b 2))>
#<alt (/ (* (pow a 2) (pow c 2)) (pow b 2))>
#<alt (/ (* (pow a 2) (pow c 2)) (pow b 2))>
#<alt (/ (* (pow a 2) (pow c 2)) (pow b 2))>
#<alt (/ (* (pow a 2) (pow c 2)) (pow b 2))>
#<alt (/ (* (pow a 2) (pow c 2)) (pow b 2))>
#<alt (/ (* (pow a 2) (pow c 2)) (pow b 2))>
#<alt (/ (* (pow a 2) (pow c 2)) (pow b 2))>
#<alt (/ (* (pow a 2) (pow c 2)) (pow b 2))>
#<alt (/ (* (pow a 2) (pow c 2)) (pow b 2))>
#<alt (/ (* (pow a 2) (pow c 2)) (pow b 2))>
#<alt (/ (* (pow a 2) (pow c 2)) (pow b 2))>
#<alt (/ (* (pow a 2) (pow c 2)) (pow b 2))>
#<alt (/ (* (pow a 2) (pow c 2)) (pow b 2))>
#<alt (/ (* (pow a 2) (pow c 2)) (pow b 2))>
#<alt (/ (* (pow a 2) (pow c 2)) (pow b 2))>
#<alt (/ (* (pow a 2) (pow c 2)) (pow b 2))>
#<alt (/ (* (pow a 2) (pow c 2)) (pow b 2))>
#<alt (/ (* (pow a 2) (pow c 2)) (pow b 2))>
#<alt (/ (* (pow a 2) (pow c 2)) (pow b 2))>
#<alt (/ (* (pow a 2) (pow c 2)) (pow b 2))>
#<alt (/ (* (pow a 2) (pow c 2)) (pow b 2))>
#<alt (/ (* (pow a 2) (pow c 2)) (pow b 2))>
#<alt (/ (* (pow a 2) (pow c 2)) (pow b 2))>
#<alt (/ (* (pow a 2) (pow c 2)) (pow b 2))>
#<alt (/ (* (pow a 2) (pow c 2)) (pow b 2))>
#<alt (* (pow a 2) c)>
#<alt (* (pow a 2) c)>
#<alt (* (pow a 2) c)>
#<alt (* (pow a 2) c)>
#<alt (* (pow a 2) c)>
#<alt (* (pow a 2) c)>
#<alt (* (pow a 2) c)>
#<alt (* (pow a 2) c)>
#<alt (* (pow a 2) c)>
#<alt (* (pow a 2) c)>
#<alt (* (pow a 2) c)>
#<alt (* (pow a 2) c)>
#<alt (* (pow a 2) c)>
#<alt (* (pow a 2) c)>
#<alt (* (pow a 2) c)>
#<alt (* (pow a 2) c)>
#<alt (* (pow a 2) c)>
#<alt (* (pow a 2) c)>
#<alt (* (pow a 2) c)>
#<alt (* (pow a 2) c)>
#<alt (* (pow a 2) c)>
#<alt (* (pow a 2) c)>
#<alt (* (pow a 2) c)>
#<alt (* (pow a 2) c)>
Calls

165 calls:

TimeVariablePointExpression
5.0ms
b
@0
(/ (/ (* 2 (+ (* c a) (/ (* c (* c (* a a))) (* b b)))) b) (* a -2))
5.0ms
a
@0
(* (* b b) (+ 1 (* -4 (* a (/ c (* b b))))))
2.0ms
b
@-inf
(* b (+ (/ c (* b b)) (/ -1 a)))
1.0ms
c
@0
(/ (/ (* 2 (+ (* c a) (/ (* c (* c (* a a))) (* b b)))) b) (* a -2))
1.0ms
a
@inf
(/ (/ (* 2 (+ (* c a) (/ (* c (* c (* a a))) (* b b)))) b) (* a -2))

rewrite302.0ms (2%)

Algorithm
1×batch-egg-rewrite
Rules
4572×*-lowering-*.f32
4572×*-lowering-*.f64
3462×/-lowering-/.f32
3462×/-lowering-/.f64
1018×times-frac
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
041215
1178198
21026184
08004184
Stop Event
1×iter limit
1×node limit
Counts
21 → 867
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))))
(- 0 (/ b a))
(/ b a)
(* b (+ (/ c (* b b)) (/ -1 a)))
(+ (/ c (* b b)) (/ -1 a))
(/ c (* b b))
(* b b)
(/ (/ (* 2 (+ (* c a) (/ (* c (* c (* a a))) (* b b)))) b) (* a -2))
(+ (* c a) (/ (* c (* c (* a a))) (* b b)))
(/ (* 2 (+ (* c a) (/ (* c (* c (* a a))) (* b b)))) b)
(* 2 (+ (* c a) (/ (* c (* c (* a a))) (* b b))))
(* (* b b) (+ 1 (* -4 (* a (/ c (* b b))))))
(/ (+ b (sqrt (* (* b b) (+ 1 (* -4 (* a (/ c (* b b)))))))) (* a -2))
(+ b (sqrt (* (* b b) (+ 1 (* -4 (* a (/ c (* b b))))))))
(sqrt (* (* b b) (+ 1 (* -4 (* a (/ c (* b b)))))))
(+ (* b b) (* a (* c -4)))
(/ (* c (* c (* a a))) (* b b))
(* c (* a a))
Outputs
(+.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 a b)) (/.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 #s(literal -1/2 binary64) (/.f64 a b)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) (/.f64 a #s(literal -1/2 binary64))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) a) (/.f64 #s(literal -1/2 binary64) (/.f64 a b)))
(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 #s(literal -1/2 binary64) (/.f64 a b)))
(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 #s(literal -1/2 binary64) (/.f64 a b)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) b) (/.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 #s(literal -1/2 binary64) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1/2 binary64) (/.f64 a b)))
(neg.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))))
(neg.f64 (*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) (/.f64 #s(literal 1/2 binary64) a)))
(neg.f64 (/.f64 (*.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 0 binary64) a)))
(neg.f64 (/.f64 (*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) #s(literal 1/2 binary64)) a))
(/.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) (neg.f64 (/.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 #s(literal 1 binary64) (/.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 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 a #s(literal -1/2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))) #s(literal 1 binary64)))
(/.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 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) a))
(/.f64 (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) a) #s(literal -2 binary64))
(/.f64 (+.f64 (/.f64 b (/.f64 #s(literal -1/2 binary64) a)) (*.f64 (/.f64 a #s(literal -1/2 binary64)) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))) (*.f64 (/.f64 a #s(literal -1/2 binary64)) (/.f64 a #s(literal -1/2 binary64))))
(/.f64 (+.f64 (*.f64 a b) (*.f64 (/.f64 a #s(literal -1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))))) (*.f64 (/.f64 a #s(literal -1/2 binary64)) a))
(/.f64 (+.f64 (/.f64 b (/.f64 #s(literal -1 binary64) a)) (*.f64 (/.f64 a #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) #s(literal 1/2 binary64)))) (*.f64 (/.f64 a #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) a)))
(/.f64 (+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) b) (/.f64 a #s(literal -1/2 binary64))) (*.f64 a (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))) (*.f64 a (/.f64 a #s(literal -1/2 binary64))))
(/.f64 (+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) b) a) (*.f64 a (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))))) (*.f64 a a))
(/.f64 (+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) b) (-.f64 #s(literal 0 binary64) a)) (*.f64 a (*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) #s(literal 1/2 binary64)))) (-.f64 #s(literal 0 binary64) (*.f64 a a)))
(/.f64 (+.f64 (*.f64 (/.f64 b #s(literal 2 binary64)) (/.f64 a #s(literal -1/2 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) a) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))) (*.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 a #s(literal -1/2 binary64))))
(/.f64 (+.f64 (*.f64 (/.f64 b #s(literal 2 binary64)) a) (*.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))))) (-.f64 #s(literal 0 binary64) (*.f64 a a)))
(/.f64 (+.f64 (*.f64 (/.f64 b #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) a)) (*.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) #s(literal 1/2 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 #s(literal 0 binary64) a)))
(/.f64 (+.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 #s(literal -1/2 binary64) a))) (*.f64 (/.f64 a #s(literal -1/2 binary64)) (/.f64 a #s(literal -1/2 binary64))))
(/.f64 (+.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) a) (*.f64 (/.f64 a #s(literal -1/2 binary64)) (*.f64 #s(literal -1/2 binary64) b))) (*.f64 (/.f64 a #s(literal -1/2 binary64)) a))
(/.f64 (+.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) (-.f64 #s(literal 0 binary64) a)) (*.f64 (/.f64 a #s(literal -1/2 binary64)) (/.f64 b #s(literal 2 binary64)))) (*.f64 (/.f64 a #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) a)))
(/.f64 (+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) (/.f64 a #s(literal -1/2 binary64))) (*.f64 a b)) (*.f64 a (/.f64 a #s(literal -1/2 binary64))))
(/.f64 (+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) a) (*.f64 a (*.f64 #s(literal -1/2 binary64) b))) (*.f64 a a))
(/.f64 (+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) (-.f64 #s(literal 0 binary64) a)) (*.f64 a (/.f64 b #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (*.f64 a a)))
(/.f64 (+.f64 (*.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) #s(literal 1/2 binary64)) (/.f64 a #s(literal -1/2 binary64))) (/.f64 b (/.f64 #s(literal -1 binary64) a))) (*.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 a #s(literal -1/2 binary64))))
(/.f64 (+.f64 (*.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) #s(literal 1/2 binary64)) a) (*.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 #s(literal -1/2 binary64) b))) (-.f64 #s(literal 0 binary64) (*.f64 a a)))
(/.f64 (+.f64 (*.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) a)) (*.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 b #s(literal 2 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 #s(literal 0 binary64) a)))
(/.f64 (neg.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 (neg.f64 (*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) #s(literal 1/2 binary64))) a)
(/.f64 (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) #s(literal -2 binary64)) a)
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))) #s(literal 1 binary64)) a)
(/.f64 (*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) #s(literal -1 binary64)) (/.f64 a #s(literal 1/2 binary64)))
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) a))
(/.f64 (*.f64 #s(literal -1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))) (/.f64 a #s(literal 1/2 binary64)))
(/.f64 (/.f64 (*.f64 (+.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)) a)
(pow.f64 (/.f64 (/.f64 a #s(literal -1/2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))) #s(literal -1 binary64))
(*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) a))
(*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) (/.f64 #s(literal -1/2 binary64) a))
(*.f64 #s(literal 1 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 1/2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) (-.f64 #s(literal 0 binary64) a)))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))))
(*.f64 (/.f64 #s(literal 1 binary64) 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 binary64) a) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) #s(literal -2 binary64)))
(*.f64 (*.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) a))
(*.f64 (*.f64 (+.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) a))
(*.f64 (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) a) #s(literal -1/2 binary64))
(*.f64 (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) a))
(*.f64 (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) a))
(*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) a))
(*.f64 (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) #s(literal 1 binary64)) (/.f64 #s(literal -1/2 binary64) a))
(*.f64 (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) (-.f64 #s(literal 0 binary64) a)) #s(literal 1/2 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 a #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/2 binary64) a))
(neg.f64 (/.f64 #s(literal 1/2 binary64) a))
(/.f64 #s(literal -1/2 binary64) a)
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(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 b (*.f64 a (*.f64 a (*.f64 c c)))) (-.f64 #s(literal 0 binary64) b)))
(/.f64 (*.f64 a (*.f64 a c)) (/.f64 b (/.f64 c b)))
(/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 b b))
(/.f64 (/.f64 (*.f64 c (/.f64 (*.f64 a (*.f64 a c)) b)) b) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 c (/.f64 (*.f64 a (*.f64 a c)) b))))
(/.f64 (*.f64 c (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a c)))) (-.f64 #s(literal 0 binary64) (*.f64 b b)))
(/.f64 (/.f64 c b) (/.f64 b (*.f64 a (*.f64 a c))))
(/.f64 (/.f64 (*.f64 a (*.f64 a c)) b) (/.f64 b c))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (/.f64 (/.f64 #s(literal 1 binary64) c) (*.f64 a (*.f64 a c))))
(/.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 b (*.f64 a (*.f64 a (*.f64 c c)))))
(/.f64 (*.f64 c (/.f64 (*.f64 a (*.f64 a c)) b)) b)
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 c (/.f64 (*.f64 a (*.f64 a c)) b))) (-.f64 #s(literal 0 binary64) b))
(/.f64 (/.f64 (*.f64 c c) b) (/.f64 b (*.f64 a a)))
(/.f64 (/.f64 (/.f64 (*.f64 c (/.f64 (*.f64 a (*.f64 a c)) b)) b) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a c))) (/.f64 b (/.f64 c b)))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a c)))) (*.f64 (/.f64 b c) (-.f64 #s(literal 0 binary64) b)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) c) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 b (*.f64 a (*.f64 a c)))))
(/.f64 (*.f64 (*.f64 a (*.f64 a c)) #s(literal 1 binary64)) (/.f64 b (/.f64 c b)))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) c)) (*.f64 (/.f64 b (*.f64 a (*.f64 a c))) (-.f64 #s(literal 0 binary64) b)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a c))) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 b (/.f64 c b))))
(/.f64 (*.f64 (*.f64 c (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a c)))) #s(literal -1 binary64)) (*.f64 b b))
(/.f64 (*.f64 (*.f64 c (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a c)))) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 b b)))
(/.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) #s(literal 1 binary64)) (*.f64 b b))
(/.f64 (/.f64 (*.f64 c (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a c)))) #s(literal -1 binary64)) (*.f64 b b))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 c (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a c))))) (-.f64 #s(literal 0 binary64) (*.f64 b b)))
(/.f64 (*.f64 (*.f64 c (/.f64 (*.f64 a (*.f64 a c)) b)) #s(literal 1 binary64)) b)
(/.f64 (*.f64 (/.f64 c b) #s(literal 1 binary64)) (/.f64 b (*.f64 a (*.f64 a c))))
(/.f64 (*.f64 (*.f64 a (*.f64 a c)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 b (/.f64 c b))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 c (/.f64 (*.f64 a (*.f64 a c)) b)))) (-.f64 #s(literal 0 binary64) b))
(/.f64 (*.f64 (/.f64 c b) (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a c)))) (-.f64 #s(literal 0 binary64) b))
(/.f64 (*.f64 (/.f64 (*.f64 a (*.f64 a c)) b) #s(literal 1 binary64)) (/.f64 b c))
(/.f64 (*.f64 (/.f64 (*.f64 a (*.f64 a c)) b) (-.f64 #s(literal 0 binary64) c)) (-.f64 #s(literal 0 binary64) b))
(/.f64 (*.f64 (*.f64 c (/.f64 (*.f64 a (*.f64 a c)) b)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) b))
(/.f64 (*.f64 (/.f64 (*.f64 c c) b) (*.f64 a a)) b)
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 c (/.f64 (*.f64 a (*.f64 a c)) b))) #s(literal -1 binary64)) b)
(pow.f64 (/.f64 b (*.f64 c (/.f64 (*.f64 a (*.f64 a c)) b))) #s(literal -1 binary64))
(*.f64 a (*.f64 (*.f64 a c) (/.f64 c (*.f64 b b))))
(*.f64 c (/.f64 (/.f64 (*.f64 a (*.f64 a c)) b) b))
(*.f64 c (*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (*.f64 a (*.f64 a c)) b)))
(*.f64 (/.f64 c (*.f64 b b)) (*.f64 a (*.f64 a c)))
(*.f64 (/.f64 c (*.f64 b b)) (/.f64 (*.f64 a (*.f64 a c)) #s(literal 1 binary64)))
(*.f64 (/.f64 c (*.f64 b b)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a c))) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 c (/.f64 (*.f64 a (*.f64 a c)) b)) b) #s(literal -1 binary64)))
(*.f64 (*.f64 a c) (/.f64 a (/.f64 b (/.f64 c b))))
(*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (*.f64 b b)))
(*.f64 (*.f64 a a) (*.f64 c (/.f64 c (*.f64 b b))))
(*.f64 (*.f64 a a) (*.f64 (*.f64 c c) (/.f64 #s(literal 1 binary64) (*.f64 b b))))
(*.f64 (*.f64 a a) (*.f64 (/.f64 c b) (/.f64 c b)))
(*.f64 (*.f64 a a) (*.f64 (/.f64 c (*.f64 b b)) c))
(*.f64 (*.f64 a (*.f64 a c)) (/.f64 c (*.f64 b b)))
(*.f64 (*.f64 a (*.f64 a (*.f64 c c))) (/.f64 #s(literal 1 binary64) (*.f64 b b)))
(*.f64 (/.f64 (*.f64 c (/.f64 (*.f64 a (*.f64 a c)) b)) b) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (/.f64 (*.f64 a (*.f64 a c)) b)) b))
(*.f64 (/.f64 a (/.f64 b (/.f64 c b))) (*.f64 a c))
(*.f64 (-.f64 #s(literal 0 binary64) c) (/.f64 (*.f64 a (*.f64 a c)) (-.f64 #s(literal 0 binary64) (*.f64 b b))))
(*.f64 (-.f64 #s(literal 0 binary64) c) (*.f64 (*.f64 a (*.f64 a c)) (/.f64 #s(literal -1 binary64) (*.f64 b b))))
(*.f64 (*.f64 c (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a c)))) (/.f64 #s(literal -1 binary64) (*.f64 b b)))
(*.f64 (/.f64 c b) (/.f64 (*.f64 a (*.f64 a c)) b))
(*.f64 (/.f64 (*.f64 a (*.f64 a c)) b) (/.f64 c b))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (*.f64 a (*.f64 a (*.f64 c c))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) c) (*.f64 a (*.f64 a c))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 c (/.f64 (*.f64 a (*.f64 a c)) b)))
(*.f64 (*.f64 c c) (/.f64 (/.f64 (*.f64 a a) b) b))
(*.f64 (*.f64 c c) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (/.f64 #s(literal -1 binary64) (*.f64 b b))))
(*.f64 (*.f64 c c) (*.f64 (/.f64 (*.f64 a a) b) (/.f64 #s(literal 1 binary64) b)))
(*.f64 (*.f64 c (/.f64 (*.f64 a (*.f64 a c)) b)) (/.f64 #s(literal 1 binary64) b))
(*.f64 (/.f64 (/.f64 (*.f64 a (*.f64 a c)) b) b) c)
(*.f64 (/.f64 (/.f64 (*.f64 a (*.f64 a c)) b) b) (/.f64 c #s(literal 1 binary64)))
(*.f64 (/.f64 (/.f64 (*.f64 a (*.f64 a c)) b) b) (/.f64 (-.f64 #s(literal 0 binary64) c) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 c b)) (/.f64 (*.f64 a (*.f64 a c)) (-.f64 #s(literal 0 binary64) b)))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 c b)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a c))) b))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 c (/.f64 (*.f64 a (*.f64 a c)) b))) (/.f64 #s(literal -1 binary64) b))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a c))) (/.f64 c (-.f64 #s(literal 0 binary64) (*.f64 b b))))
(*.f64 (/.f64 (*.f64 c c) b) (/.f64 (*.f64 a a) b))
(*.f64 (/.f64 (*.f64 a a) b) (/.f64 (*.f64 c c) b))
(*.f64 (/.f64 (*.f64 a a) b) (*.f64 (/.f64 c b) c))
(*.f64 (/.f64 a (/.f64 b c)) (/.f64 a (/.f64 b c)))
(*.f64 (/.f64 a (/.f64 b c)) (*.f64 (/.f64 a b) c))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 b b)) (*.f64 c (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a c)))))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 b b)) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) b) (-.f64 #s(literal 0 binary64) (*.f64 c (/.f64 (*.f64 a (*.f64 a c)) b))))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 c c)) (*.f64 (*.f64 a a) (/.f64 #s(literal -1 binary64) (*.f64 b b))))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 c c)) (/.f64 (*.f64 a a) (-.f64 #s(literal 0 binary64) (*.f64 b b))))
(*.f64 (/.f64 c (-.f64 #s(literal 0 binary64) (*.f64 b b))) (/.f64 (*.f64 a (*.f64 a c)) #s(literal -1 binary64)))
(*.f64 (*.f64 a (*.f64 c c)) (/.f64 a (*.f64 b b)))
(*.f64 (/.f64 (/.f64 (*.f64 a a) b) b) (*.f64 c c))
(*.f64 (/.f64 (/.f64 (*.f64 a a) b) b) (/.f64 (*.f64 c c) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 b (*.f64 c c)) #s(literal -1 binary64)) (pow.f64 (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a c))) (/.f64 c (*.f64 b b)))
(*.f64 (*.f64 (*.f64 a (*.f64 a c)) #s(literal 1 binary64)) (/.f64 c (*.f64 b b)))
(*.f64 (/.f64 (*.f64 a (*.f64 a c)) (-.f64 #s(literal 0 binary64) b)) (-.f64 #s(literal 0 binary64) (/.f64 c b)))
(*.f64 (/.f64 (*.f64 a (*.f64 a c)) #s(literal -1 binary64)) (/.f64 c (-.f64 #s(literal 0 binary64) (*.f64 b b))))
(*.f64 (/.f64 c #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a c))) (*.f64 b b)))
(*.f64 (/.f64 (*.f64 c c) (-.f64 #s(literal 0 binary64) b)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) b))
(*.f64 (/.f64 (*.f64 c c) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (*.f64 b b)))
(*.f64 (/.f64 (*.f64 c c) (*.f64 b b)) (/.f64 (*.f64 a a) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 c c) (*.f64 b b)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 a (*.f64 c c)) b) (/.f64 a b))
(*.f64 (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) a)
(*.f64 (/.f64 (*.f64 a (*.f64 a c)) #s(literal 1 binary64)) (/.f64 c (*.f64 b b)))
(*.f64 (/.f64 c #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 a (*.f64 a c)) b) b))
(*.f64 (/.f64 (*.f64 c c) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 a a) b) b))
(*.f64 (/.f64 (*.f64 a a) #s(literal 1 binary64)) (/.f64 (*.f64 c c) (*.f64 b b)))
(*.f64 (/.f64 (*.f64 a (*.f64 c c)) #s(literal 1 binary64)) (/.f64 a (*.f64 b b)))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a c))) #s(literal -1 binary64)) (/.f64 c (*.f64 b b)))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a c))) (*.f64 b b)) (/.f64 c #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a c))) b) (-.f64 #s(literal 0 binary64) (/.f64 c b)))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) c) #s(literal -1 binary64)) (/.f64 (/.f64 (*.f64 a (*.f64 a c)) b) b))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 c c)) b) (/.f64 (*.f64 a a) (-.f64 #s(literal 0 binary64) b)))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 c c)) (*.f64 b b)) (/.f64 (*.f64 a a) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 c c)) #s(literal -1 binary64)) (/.f64 (/.f64 (*.f64 a a) b) b))
(*.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 b b)))
(*.f64 (*.f64 c (/.f64 a (/.f64 b c))) (/.f64 a b))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 c (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a c))))) (/.f64 #s(literal -1 binary64) (*.f64 b b)))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 c c)) (/.f64 (/.f64 (*.f64 a a) b) b))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 c c) b)) (/.f64 (*.f64 a a) b))
(*.f64 (*.f64 (/.f64 c b) c) (/.f64 (*.f64 a a) b))
(*.f64 (*.f64 (/.f64 c b) (*.f64 a c)) (/.f64 a b))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (*.f64 c c)) (*.f64 a a))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (*.f64 a (*.f64 c c))) a)
(*.f64 (*.f64 (*.f64 c (/.f64 (*.f64 a (*.f64 a c)) b)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) b))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b (/.f64 c b)) c)) (*.f64 a a))
(*.f64 a (*.f64 a c))
(*.f64 c (*.f64 a a))
(*.f64 (*.f64 a c) a)
(*.f64 (*.f64 a a) c)

simplify438.0ms (2.9%)

Algorithm
1×egg-herbie
Rules
6336×*-lowering-*.f32
6336×*-lowering-*.f64
3050×+-lowering-+.f64
3050×+-lowering-+.f32
1902×sum3-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
06159394
120998390
273458272
083198272
Stop Event
1×iter limit
1×node limit
Counts
660 → 660
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))))))
(* -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))))))))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ c b)
(/ (+ c (* -1 (/ (pow b 2) a))) b)
(/ (+ c (* -1 (/ (pow b 2) a))) b)
(/ (+ c (* -1 (/ (pow b 2) a))) b)
(* -1 (/ b a))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (/ b a))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
(/ c b)
(* c (+ (* -1 (/ b (* a c))) (/ 1 b)))
(* c (+ (* -1 (/ b (* a c))) (/ 1 b)))
(* c (+ (* -1 (/ b (* a c))) (/ 1 b)))
(/ c b)
(* -1 (* c (- (/ b (* a c)) (/ 1 b))))
(* -1 (* c (- (/ b (* a c)) (/ 1 b))))
(* -1 (* c (- (/ b (* a c)) (/ 1 b))))
(* -1 (/ b a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ c b)
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
(/ c b)
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
(/ -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)
(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)
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* -1 (/ (* a (pow c 2)) (pow b 3)))
(* (pow c 2) (- (* -1 (/ a (pow b 3))) (/ 1 (* b c))))
(* (pow c 2) (- (* -1 (/ a (pow b 3))) (/ 1 (* b c))))
(* (pow c 2) (- (* -1 (/ a (pow b 3))) (/ 1 (* b c))))
(* -1 (/ (* a (pow c 2)) (pow b 3)))
(* (pow c 2) (- (* -1 (/ a (pow b 3))) (/ 1 (* b c))))
(* (pow c 2) (- (* -1 (/ a (pow b 3))) (/ 1 (* b c))))
(* (pow c 2) (- (* -1 (/ a (pow b 3))) (/ 1 (* b c))))
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(* -1 (/ (* a (pow c 2)) (pow b 3)))
(* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3)))))
(* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3)))))
(* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3)))))
(* -1 (/ (* a (pow c 2)) (pow b 3)))
(* -1 (* a (+ (/ c (* a b)) (/ (pow c 2) (pow b 3)))))
(* -1 (* a (+ (/ c (* a b)) (/ (pow c 2) (pow b 3)))))
(* -1 (* a (+ (/ c (* a b)) (/ (pow c 2) (pow b 3)))))
(* -1 (/ (* a (pow c 2)) (pow b 3)))
(/ (+ (* -1 (* a (pow c 2))) (* -1 (* (pow b 2) c))) (pow b 3))
(/ (+ (* -1 (* a (pow c 2))) (* -1 (* (pow b 2) c))) (pow b 3))
(/ (+ (* -1 (* a (pow c 2))) (* -1 (* (pow b 2) c))) (pow b 3))
(* -1 (/ c b))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(* -1 (/ c b))
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))
(* a c)
(* c (+ a (/ (* (pow a 2) c) (pow b 2))))
(* c (+ a (/ (* (pow a 2) c) (pow b 2))))
(* c (+ a (/ (* (pow a 2) c) (pow b 2))))
(/ (* (pow a 2) (pow c 2)) (pow b 2))
(* (pow c 2) (+ (/ a c) (/ (pow a 2) (pow b 2))))
(* (pow c 2) (+ (/ a c) (/ (pow a 2) (pow b 2))))
(* (pow c 2) (+ (/ a c) (/ (pow a 2) (pow b 2))))
(/ (* (pow a 2) (pow c 2)) (pow b 2))
(* (pow c 2) (+ (/ a c) (/ (pow a 2) (pow b 2))))
(* (pow c 2) (+ (/ a c) (/ (pow a 2) (pow b 2))))
(* (pow c 2) (+ (/ a c) (/ (pow a 2) (pow b 2))))
(* a c)
(* a (+ c (/ (* a (pow c 2)) (pow b 2))))
(* a (+ c (/ (* a (pow c 2)) (pow b 2))))
(* a (+ c (/ (* a (pow c 2)) (pow b 2))))
(/ (* (pow a 2) (pow c 2)) (pow b 2))
(* (pow a 2) (+ (/ c a) (/ (pow c 2) (pow b 2))))
(* (pow a 2) (+ (/ c a) (/ (pow c 2) (pow b 2))))
(* (pow a 2) (+ (/ c a) (/ (pow c 2) (pow b 2))))
(/ (* (pow a 2) (pow c 2)) (pow b 2))
(* (pow a 2) (+ (/ c a) (/ (pow c 2) (pow b 2))))
(* (pow a 2) (+ (/ c a) (/ (pow c 2) (pow b 2))))
(* (pow a 2) (+ (/ c a) (/ (pow c 2) (pow b 2))))
(/ (* (pow a 2) (pow c 2)) (pow b 2))
(/ (+ (* a (* (pow b 2) c)) (* (pow a 2) (pow c 2))) (pow b 2))
(/ (+ (* a (* (pow b 2) c)) (* (pow a 2) (pow c 2))) (pow b 2))
(/ (+ (* a (* (pow b 2) c)) (* (pow a 2) (pow c 2))) (pow b 2))
(* a c)
(+ (* a c) (/ (* (pow a 2) (pow c 2)) (pow b 2)))
(+ (* a c) (/ (* (pow a 2) (pow c 2)) (pow b 2)))
(+ (* a c) (/ (* (pow a 2) (pow c 2)) (pow b 2)))
(* a c)
(+ (* a c) (/ (* (pow a 2) (pow c 2)) (pow b 2)))
(+ (* a c) (/ (* (pow a 2) (pow c 2)) (pow b 2)))
(+ (* a c) (/ (* (pow a 2) (pow c 2)) (pow b 2)))
(* 2 (/ (* a c) b))
(* c (+ (* 2 (/ a b)) (* 2 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* 2 (/ a b)) (* 2 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* 2 (/ a b)) (* 2 (/ (* (pow a 2) c) (pow b 3)))))
(* 2 (/ (* (pow a 2) (pow c 2)) (pow b 3)))
(* (pow c 2) (+ (* 2 (/ a (* b c))) (* 2 (/ (pow a 2) (pow b 3)))))
(* (pow c 2) (+ (* 2 (/ a (* b c))) (* 2 (/ (pow a 2) (pow b 3)))))
(* (pow c 2) (+ (* 2 (/ a (* b c))) (* 2 (/ (pow a 2) (pow b 3)))))
(* 2 (/ (* (pow a 2) (pow c 2)) (pow b 3)))
(* (pow c 2) (+ (* 2 (/ a (* b c))) (* 2 (/ (pow a 2) (pow b 3)))))
(* (pow c 2) (+ (* 2 (/ a (* b c))) (* 2 (/ (pow a 2) (pow b 3)))))
(* (pow c 2) (+ (* 2 (/ a (* b c))) (* 2 (/ (pow a 2) (pow b 3)))))
(* 2 (/ (* a c) b))
(* a (+ (* 2 (/ c b)) (* 2 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* 2 (/ c b)) (* 2 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* 2 (/ c b)) (* 2 (/ (* a (pow c 2)) (pow b 3)))))
(* 2 (/ (* (pow a 2) (pow c 2)) (pow b 3)))
(* (pow a 2) (+ (* 2 (/ c (* a b))) (* 2 (/ (pow c 2) (pow b 3)))))
(* (pow a 2) (+ (* 2 (/ c (* a b))) (* 2 (/ (pow c 2) (pow b 3)))))
(* (pow a 2) (+ (* 2 (/ c (* a b))) (* 2 (/ (pow c 2) (pow b 3)))))
(* 2 (/ (* (pow a 2) (pow c 2)) (pow b 3)))
(* (pow a 2) (+ (* 2 (/ c (* a b))) (* 2 (/ (pow c 2) (pow b 3)))))
(* (pow a 2) (+ (* 2 (/ c (* a b))) (* 2 (/ (pow c 2) (pow b 3)))))
(* (pow a 2) (+ (* 2 (/ c (* a b))) (* 2 (/ (pow c 2) (pow b 3)))))
(* 2 (/ (* (pow a 2) (pow c 2)) (pow b 3)))
(/ (+ (* 2 (* a (* (pow b 2) c))) (* 2 (* (pow a 2) (pow c 2)))) (pow b 3))
(/ (+ (* 2 (* a (* (pow b 2) c))) (* 2 (* (pow a 2) (pow c 2)))) (pow b 3))
(/ (+ (* 2 (* a (* (pow b 2) c))) (* 2 (* (pow a 2) (pow c 2)))) (pow b 3))
(* 2 (/ (* a c) b))
(/ (+ (* 2 (* a c)) (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* 2 (* a c)) (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* 2 (* a c)) (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(* 2 (/ (* a c) b))
(* -1 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))
(* 2 (* a c))
(* c (+ (* 2 a) (* 2 (/ (* (pow a 2) c) (pow b 2)))))
(* c (+ (* 2 a) (* 2 (/ (* (pow a 2) c) (pow b 2)))))
(* c (+ (* 2 a) (* 2 (/ (* (pow a 2) c) (pow b 2)))))
(* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))
(* (pow c 2) (+ (* 2 (/ a c)) (* 2 (/ (pow a 2) (pow b 2)))))
(* (pow c 2) (+ (* 2 (/ a c)) (* 2 (/ (pow a 2) (pow b 2)))))
(* (pow c 2) (+ (* 2 (/ a c)) (* 2 (/ (pow a 2) (pow b 2)))))
(* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))
(* (pow c 2) (+ (* 2 (/ a c)) (* 2 (/ (pow a 2) (pow b 2)))))
(* (pow c 2) (+ (* 2 (/ a c)) (* 2 (/ (pow a 2) (pow b 2)))))
(* (pow c 2) (+ (* 2 (/ a c)) (* 2 (/ (pow a 2) (pow b 2)))))
(* 2 (* a c))
(* a (+ (* 2 c) (* 2 (/ (* a (pow c 2)) (pow b 2)))))
(* a (+ (* 2 c) (* 2 (/ (* a (pow c 2)) (pow b 2)))))
(* a (+ (* 2 c) (* 2 (/ (* a (pow c 2)) (pow b 2)))))
(* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))
(* (pow a 2) (+ (* 2 (/ c a)) (* 2 (/ (pow c 2) (pow b 2)))))
(* (pow a 2) (+ (* 2 (/ c a)) (* 2 (/ (pow c 2) (pow b 2)))))
(* (pow a 2) (+ (* 2 (/ c a)) (* 2 (/ (pow c 2) (pow b 2)))))
(* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))
(* (pow a 2) (+ (* 2 (/ c a)) (* 2 (/ (pow c 2) (pow b 2)))))
(* (pow a 2) (+ (* 2 (/ c a)) (* 2 (/ (pow c 2) (pow b 2)))))
(* (pow a 2) (+ (* 2 (/ c a)) (* 2 (/ (pow c 2) (pow b 2)))))
(* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))
(/ (+ (* 2 (* a (* (pow b 2) c))) (* 2 (* (pow a 2) (pow c 2)))) (pow b 2))
(/ (+ (* 2 (* a (* (pow b 2) c))) (* 2 (* (pow a 2) (pow c 2)))) (pow b 2))
(/ (+ (* 2 (* a (* (pow b 2) c))) (* 2 (* (pow a 2) (pow c 2)))) (pow b 2))
(* 2 (* a c))
(+ (* 2 (* a c)) (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))
(+ (* 2 (* a c)) (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))
(+ (* 2 (* a c)) (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))
(* 2 (* a c))
(+ (* 2 (* a c)) (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))
(+ (* 2 (* a c)) (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))
(+ (* 2 (* a c)) (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))
(* -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))))
(* -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))))
(/ (* (pow a 2) (pow c 2)) (pow b 2))
(/ (* (pow a 2) (pow c 2)) (pow b 2))
(/ (* (pow a 2) (pow c 2)) (pow b 2))
(/ (* (pow a 2) (pow c 2)) (pow b 2))
(/ (* (pow a 2) (pow c 2)) (pow b 2))
(/ (* (pow a 2) (pow c 2)) (pow b 2))
(/ (* (pow a 2) (pow c 2)) (pow b 2))
(/ (* (pow a 2) (pow c 2)) (pow b 2))
(/ (* (pow a 2) (pow c 2)) (pow b 2))
(/ (* (pow a 2) (pow c 2)) (pow b 2))
(/ (* (pow a 2) (pow c 2)) (pow b 2))
(/ (* (pow a 2) (pow c 2)) (pow b 2))
(/ (* (pow a 2) (pow c 2)) (pow b 2))
(/ (* (pow a 2) (pow c 2)) (pow b 2))
(/ (* (pow a 2) (pow c 2)) (pow b 2))
(/ (* (pow a 2) (pow c 2)) (pow b 2))
(/ (* (pow a 2) (pow c 2)) (pow b 2))
(/ (* (pow a 2) (pow c 2)) (pow b 2))
(/ (* (pow a 2) (pow c 2)) (pow b 2))
(/ (* (pow a 2) (pow c 2)) (pow b 2))
(/ (* (pow a 2) (pow c 2)) (pow b 2))
(/ (* (pow a 2) (pow c 2)) (pow b 2))
(/ (* (pow a 2) (pow c 2)) (pow b 2))
(/ (* (pow a 2) (pow c 2)) (pow b 2))
(/ (* (pow a 2) (pow c 2)) (pow b 2))
(/ (* (pow a 2) (pow c 2)) (pow b 2))
(/ (* (pow a 2) (pow c 2)) (pow b 2))
(/ (* (pow a 2) (pow c 2)) (pow b 2))
(/ (* (pow a 2) (pow c 2)) (pow b 2))
(/ (* (pow a 2) (pow c 2)) (pow b 2))
(/ (* (pow a 2) (pow c 2)) (pow b 2))
(/ (* (pow a 2) (pow c 2)) (pow b 2))
(/ (* (pow a 2) (pow c 2)) (pow b 2))
(/ (* (pow a 2) (pow c 2)) (pow b 2))
(/ (* (pow a 2) (pow c 2)) (pow b 2))
(/ (* (pow a 2) (pow c 2)) (pow b 2))
(* (pow a 2) c)
(* (pow a 2) c)
(* (pow a 2) c)
(* (pow a 2) c)
(* (pow a 2) c)
(* (pow a 2) c)
(* (pow a 2) c)
(* (pow a 2) c)
(* (pow a 2) c)
(* (pow a 2) c)
(* (pow a 2) c)
(* (pow a 2) c)
(* (pow a 2) c)
(* (pow a 2) c)
(* (pow a 2) c)
(* (pow a 2) c)
(* (pow a 2) c)
(* (pow a 2) c)
(* (pow a 2) c)
(* (pow a 2) c)
(* (pow a 2) c)
(* (pow a 2) c)
(* (pow a 2) c)
(* (pow a 2) c)
Outputs
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/.f64 (-.f64 (/.f64 (*.f64 a c) b) b) a)
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/.f64 (-.f64 (*.f64 a (+.f64 (/.f64 c b) (/.f64 (*.f64 a (/.f64 (/.f64 (*.f64 c c) b) b)) b))) b) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)
(/.f64 (-.f64 (*.f64 a (+.f64 (/.f64 c b) (*.f64 a (+.f64 (/.f64 (*.f64 (*.f64 a (*.f64 c (*.f64 c c))) #s(literal 2 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (/.f64 (/.f64 (*.f64 c c) b) 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 #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) (*.f64 c (*.f64 c c))) (pow.f64 a #s(literal 5 binary64)))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64))))))))
(* (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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) #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 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/128 binary64))) (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) #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)))
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(*.f64 c (+.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (pow.f64 c #s(literal 5 binary64)))) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) #s(literal -1/8 binary64))) (+.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 b b))) (sqrt.f64 #s(literal -4 binary64))))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(*.f64 c (+.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (pow.f64 c #s(literal 5 binary64)))) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) #s(literal -1/8 binary64))) (+.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 b b))) (sqrt.f64 #s(literal -4 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)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64))) #s(literal 1/16 binary64)))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (sqrt.f64 (*.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -2 binary64)))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(*.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) #s(literal 1/4 binary64)))) (-.f64 #s(literal 0 binary64) c))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(*.f64 (+.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) #s(literal 1/4 binary64)))) (*.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 #s(literal 0 binary64) c))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
(*.f64 (+.f64 (*.f64 #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 (+.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) #s(literal 1/4 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 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 1/512 binary64))))) (-.f64 #s(literal 0 binary64) c))
(* -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 #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 a 2) (pow c 2)) (pow b 2))
(/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 b b))
(/ (* (pow a 2) (pow c 2)) (pow b 2))
(/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 b b))
(/ (* (pow a 2) (pow c 2)) (pow b 2))
(/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 b b))
(/ (* (pow a 2) (pow c 2)) (pow b 2))
(/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 b b))
(/ (* (pow a 2) (pow c 2)) (pow b 2))
(/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 b b))
(/ (* (pow a 2) (pow c 2)) (pow b 2))
(/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 b b))
(/ (* (pow a 2) (pow c 2)) (pow b 2))
(/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 b b))
(/ (* (pow a 2) (pow c 2)) (pow b 2))
(/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 b b))
(/ (* (pow a 2) (pow c 2)) (pow b 2))
(/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 b b))
(/ (* (pow a 2) (pow c 2)) (pow b 2))
(/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 b b))
(/ (* (pow a 2) (pow c 2)) (pow b 2))
(/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 b b))
(/ (* (pow a 2) (pow c 2)) (pow b 2))
(/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 b b))
(/ (* (pow a 2) (pow c 2)) (pow b 2))
(/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 b b))
(/ (* (pow a 2) (pow c 2)) (pow b 2))
(/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 b b))
(/ (* (pow a 2) (pow c 2)) (pow b 2))
(/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 b b))
(/ (* (pow a 2) (pow c 2)) (pow b 2))
(/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 b b))
(/ (* (pow a 2) (pow c 2)) (pow b 2))
(/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 b b))
(/ (* (pow a 2) (pow c 2)) (pow b 2))
(/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 b b))
(/ (* (pow a 2) (pow c 2)) (pow b 2))
(/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 b b))
(/ (* (pow a 2) (pow c 2)) (pow b 2))
(/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 b b))
(/ (* (pow a 2) (pow c 2)) (pow b 2))
(/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 b b))
(/ (* (pow a 2) (pow c 2)) (pow b 2))
(/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 b b))
(/ (* (pow a 2) (pow c 2)) (pow b 2))
(/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 b b))
(/ (* (pow a 2) (pow c 2)) (pow b 2))
(/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 b b))
(/ (* (pow a 2) (pow c 2)) (pow b 2))
(/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 b b))
(/ (* (pow a 2) (pow c 2)) (pow b 2))
(/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 b b))
(/ (* (pow a 2) (pow c 2)) (pow b 2))
(/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 b b))
(/ (* (pow a 2) (pow c 2)) (pow b 2))
(/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 b b))
(/ (* (pow a 2) (pow c 2)) (pow b 2))
(/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 b b))
(/ (* (pow a 2) (pow c 2)) (pow b 2))
(/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 b b))
(/ (* (pow a 2) (pow c 2)) (pow b 2))
(/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 b b))
(/ (* (pow a 2) (pow c 2)) (pow b 2))
(/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 b b))
(/ (* (pow a 2) (pow c 2)) (pow b 2))
(/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 b b))
(/ (* (pow a 2) (pow c 2)) (pow b 2))
(/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 b b))
(/ (* (pow a 2) (pow c 2)) (pow b 2))
(/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 b b))
(/ (* (pow a 2) (pow c 2)) (pow b 2))
(/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 b b))
(* (pow a 2) c)
(*.f64 a (*.f64 a c))
(* (pow a 2) c)
(*.f64 a (*.f64 a c))
(* (pow a 2) c)
(*.f64 a (*.f64 a c))
(* (pow a 2) c)
(*.f64 a (*.f64 a c))
(* (pow a 2) c)
(*.f64 a (*.f64 a c))
(* (pow a 2) c)
(*.f64 a (*.f64 a c))
(* (pow a 2) c)
(*.f64 a (*.f64 a c))
(* (pow a 2) c)
(*.f64 a (*.f64 a c))
(* (pow a 2) c)
(*.f64 a (*.f64 a c))
(* (pow a 2) c)
(*.f64 a (*.f64 a c))
(* (pow a 2) c)
(*.f64 a (*.f64 a c))
(* (pow a 2) c)
(*.f64 a (*.f64 a c))
(* (pow a 2) c)
(*.f64 a (*.f64 a c))
(* (pow a 2) c)
(*.f64 a (*.f64 a c))
(* (pow a 2) c)
(*.f64 a (*.f64 a c))
(* (pow a 2) c)
(*.f64 a (*.f64 a c))
(* (pow a 2) c)
(*.f64 a (*.f64 a c))
(* (pow a 2) c)
(*.f64 a (*.f64 a c))
(* (pow a 2) c)
(*.f64 a (*.f64 a c))
(* (pow a 2) c)
(*.f64 a (*.f64 a c))
(* (pow a 2) c)
(*.f64 a (*.f64 a c))
(* (pow a 2) c)
(*.f64 a (*.f64 a c))
(* (pow a 2) c)
(*.f64 a (*.f64 a c))
(* (pow a 2) c)
(*.f64 a (*.f64 a c))

eval295.0ms (2%)

Compiler

Compiled 34814 to 3959 computations (88.6% saved)

prune271.0ms (1.8%)

Pruning

41 alts after pruning (41 fresh and 0 done)

PrunedKeptTotal
New1676301706
Fresh21113
Picked505
Done000
Total1683411724
Accuracy
92.2%
Counts
1724 → 41
Alt Table
Click to see full alt table
StatusAccuracyProgram
19.7%
(/.f64 (/.f64 (*.f64 b (-.f64 (*.f64 a c) (*.f64 b b))) b) (*.f64 a b))
▶28.7%
(/.f64 (/.f64 (*.f64 a (*.f64 c #s(literal 2 binary64))) b) (*.f64 a #s(literal -2 binary64)))
25.6%
(/.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 b (*.f64 c (+.f64 a (/.f64 (/.f64 (*.f64 a (*.f64 a c)) b) b)))))
32.0%
(/.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 #s(literal 1 binary64) b))
30.9%
(/.f64 (-.f64 (/.f64 (*.f64 c a) b) b) a)
▶41.1%
(/.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 #s(literal -2 binary64) (neg.f64 (*.f64 a (/.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))))))
17.3%
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 b (/.f64 c b))) (*.f64 (/.f64 a b) b)) (*.f64 (/.f64 a b) (/.f64 b (/.f64 c b))))
9.4%
(/.f64 (+.f64 b (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 b b))))) (*.f64 a #s(literal -2 binary64)))
37.4%
(/.f64 (+.f64 b (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) (/.f64 (/.f64 b (/.f64 c b)) a)))) b)) (*.f64 a #s(literal -2 binary64)))
9.9%
(/.f64 (+.f64 b (*.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64))) b)) #s(literal -1 binary64)))) (*.f64 a #s(literal -2 binary64)))
34.2%
(/.f64 (+.f64 b (sqrt.f64 (*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (*.f64 a (/.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 b c)))))))) (*.f64 a #s(literal -2 binary64)))
34.8%
(/.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64)))
37.1%
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))) (*.f64 #s(literal -2 binary64) (*.f64 a a)))
22.0%
(/.f64 (*.f64 (+.f64 b (/.f64 c (/.f64 b (-.f64 #s(literal 0 binary64) a)))) b) (/.f64 b (/.f64 #s(literal -1 binary64) a)))
10.8%
(/.f64 (*.f64 (+.f64 a (-.f64 #s(literal 0 binary64) (/.f64 b (/.f64 c b)))) b) (/.f64 (*.f64 a (*.f64 b b)) c))
14.1%
(/.f64 (*.f64 (*.f64 a a) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (/.f64 (/.f64 (*.f64 c c) b) b) b) (/.f64 c (*.f64 b a))))) (*.f64 a #s(literal -2 binary64)))
10.4%
(/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 c (/.f64 (+.f64 a (/.f64 (/.f64 (*.f64 a (*.f64 a c)) b) b)) b)))) #s(literal -1 binary64))) (*.f64 a #s(literal -2 binary64)))
▶9.0%
(/.f64 c b)
▶25.4%
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 a #s(literal -1/2 binary64)) (/.f64 b (*.f64 c (+.f64 a (/.f64 (/.f64 (*.f64 a (*.f64 a c)) b) b))))))
37.0%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (/.f64 a #s(literal 1/2 binary64))) (+.f64 #s(literal 0 binary64) (/.f64 (/.f64 a #s(literal -1/2 binary64)) (/.f64 #s(literal 2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))))))
▶51.6%
(/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))
32.0%
(/.f64 #s(literal -1 binary64) (/.f64 a b))
32.2%
(-.f64 (/.f64 c b) (/.f64 b a))
31.1%
(-.f64 (*.f64 c (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (/.f64 (/.f64 (*.f64 a c) b) b) b))) (/.f64 b a))
36.9%
(-.f64 #s(literal 0 binary64) (/.f64 c b))
15.2%
(-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 a b)) #s(literal -1 binary64))))
22.5%
(*.f64 (/.f64 (-.f64 (*.f64 a c) (*.f64 b b)) a) (/.f64 #s(literal 1 binary64) b))
38.6%
(*.f64 (/.f64 #s(literal 1 binary64) (+.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 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (/.f64 a #s(literal 1/2 binary64))))))
26.5%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (+.f64 b (*.f64 (*.f64 c #s(literal -2 binary64)) (+.f64 (/.f64 a b) (/.f64 (*.f64 a (*.f64 a c)) (*.f64 b (*.f64 b b))))))))
34.8%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))))
32.0%
(*.f64 (/.f64 #s(literal -1 binary64) a) b)
37.0%
(*.f64 (*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #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 #s(literal 1/2 binary64) a))))
25.6%
(*.f64 c (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 b (*.f64 a c))))
34.5%
(*.f64 c (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (/.f64 (*.f64 a c) b) b) b)) (/.f64 #s(literal -1 binary64) b)))
30.7%
(*.f64 b (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 a c) b) b)) a))
9.0%
(*.f64 b (/.f64 c (*.f64 b b)))
26.8%
(*.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a b) (+.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 a (/.f64 b c))))))
30.3%
(*.f64 b (+.f64 (/.f64 c (pow.f64 (exp.f64 (log.f64 b)) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) a)))
30.3%
(*.f64 b (+.f64 (/.f64 c (exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 b)))) (/.f64 #s(literal -1 binary64) a)))
32.1%
(neg.f64 (/.f64 b a))
12.1%
(exp.f64 (*.f64 (log.f64 (neg.f64 (/.f64 a (*.f64 c (/.f64 (+.f64 a (/.f64 (/.f64 (*.f64 a (*.f64 a c)) b) b)) b))))) #s(literal -1 binary64)))
Compiler

Compiled 1588 to 1018 computations (35.9% saved)

simplify524.0ms (3.5%)

Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 a (/.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))
✓cost-diff0
(-.f64 #s(literal 0 binary64) a)
✓cost-diff128
(*.f64 #s(literal -2 binary64) (neg.f64 (*.f64 a (/.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))))
✓cost-diff384
(/.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 #s(literal -2 binary64) (neg.f64 (*.f64 a (/.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))))))
✓cost-diff0
(/.f64 b (*.f64 c (+.f64 a (/.f64 (/.f64 (*.f64 a (*.f64 a c)) b) b))))
✓cost-diff0
(/.f64 a #s(literal -1/2 binary64))
✓cost-diff0
(*.f64 (/.f64 a #s(literal -1/2 binary64)) (/.f64 b (*.f64 c (+.f64 a (/.f64 (/.f64 (*.f64 a (*.f64 a c)) b) b)))))
✓cost-diff384
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 a #s(literal -1/2 binary64)) (/.f64 b (*.f64 c (+.f64 a (/.f64 (/.f64 (*.f64 a (*.f64 a c)) b) b))))))
✓cost-diff0
(*.f64 c #s(literal 2 binary64))
✓cost-diff0
(*.f64 a (*.f64 c #s(literal 2 binary64)))
✓cost-diff0
(/.f64 (*.f64 a (*.f64 c #s(literal 2 binary64))) b)
✓cost-diff384
(/.f64 (/.f64 (*.f64 a (*.f64 c #s(literal 2 binary64))) b) (*.f64 a #s(literal -2 binary64)))
✓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 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
4456×*-lowering-*.f32
4456×*-lowering-*.f64
2024×+-lowering-+.f64
2024×+-lowering-+.f32
1702×/-lowering-/.f32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
037338
198313
2298300
31056292
43479290
08299290
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
(/ c b)
c
b
(/ (/ (* a (* c 2)) b) (* a -2))
(/ (* a (* c 2)) b)
(* a (* c 2))
a
(* c 2)
c
2
b
(* a -2)
-2
(/ 2 (* (/ a -1/2) (/ b (* c (+ a (/ (/ (* a (* a c)) b) b))))))
2
(* (/ a -1/2) (/ b (* c (+ a (/ (/ (* a (* a c)) b) b)))))
(/ a -1/2)
a
-1/2
(/ b (* c (+ a (/ (/ (* a (* a c)) b) b))))
b
(* c (+ a (/ (/ (* a (* a c)) b) b)))
c
(+ a (/ (/ (* a (* a c)) b) b))
(/ (/ (* a (* a c)) b) b)
(/ (* a (* a c)) b)
(* a (* a c))
(* a c)
(/ (- 0 a) (* -2 (neg (* a (/ a (+ b (sqrt (+ (* b b) (* a (* c -4))))))))))
(- 0 a)
0
a
(* -2 (neg (* a (/ a (+ b (sqrt (+ (* b b) (* a (* c -4)))))))))
-2
(neg (* a (/ a (+ b (sqrt (+ (* b b) (* a (* c -4))))))))
(* a (/ a (+ b (sqrt (+ (* b b) (* a (* c -4)))))))
(/ a (+ b (sqrt (+ (* b b) (* a (* c -4))))))
(+ 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
Outputs
(/ -1/2 (/ a (+ b (sqrt (+ (* b b) (* a (* c -4)))))))
(/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))
-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)
(/ c b)
(/.f64 c b)
c
b
(/ (/ (* a (* c 2)) b) (* a -2))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(/ (* a (* c 2)) b)
(/.f64 (*.f64 a (*.f64 c #s(literal 2 binary64))) b)
(* a (* c 2))
(*.f64 a (*.f64 c #s(literal 2 binary64)))
a
(* c 2)
(*.f64 c #s(literal 2 binary64))
c
2
#s(literal 2 binary64)
b
(* a -2)
(*.f64 a #s(literal -2 binary64))
-2
#s(literal -2 binary64)
(/ 2 (* (/ a -1/2) (/ b (* c (+ a (/ (/ (* a (* a c)) b) b))))))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 c b)) (+.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal 1 binary64)))
2
#s(literal 2 binary64)
(* (/ a -1/2) (/ b (* c (+ a (/ (/ (* a (* a c)) b) b)))))
(/.f64 (*.f64 a (/.f64 b #s(literal -1/2 binary64))) (*.f64 c (*.f64 a (+.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal 1 binary64)))))
(/ a -1/2)
(/.f64 a #s(literal -1/2 binary64))
a
-1/2
#s(literal -1/2 binary64)
(/ b (* c (+ a (/ (/ (* a (* a c)) b) b))))
(/.f64 b (*.f64 c (*.f64 a (+.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal 1 binary64)))))
b
(* c (+ a (/ (/ (* a (* a c)) b) b)))
(*.f64 c (*.f64 a (+.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal 1 binary64))))
c
(+ a (/ (/ (* a (* a c)) b) b))
(*.f64 a (+.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal 1 binary64)))
(/ (/ (* a (* a c)) b) b)
(/.f64 (*.f64 a (*.f64 a c)) (*.f64 b b))
(/ (* a (* a c)) b)
(*.f64 a (*.f64 a (/.f64 c b)))
(* a (* a c))
(*.f64 a (*.f64 a c))
(* a c)
(*.f64 a c)
(/ (- 0 a) (* -2 (neg (* a (/ a (+ b (sqrt (+ (* b b) (* a (* c -4))))))))))
(/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))
(- 0 a)
(-.f64 #s(literal 0 binary64) a)
0
#s(literal 0 binary64)
a
(* -2 (neg (* a (/ a (+ b (sqrt (+ (* b b) (* a (* c -4)))))))))
(/.f64 (*.f64 a (*.f64 a #s(literal 2 binary64))) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))
-2
#s(literal -2 binary64)
(neg (* a (/ a (+ b (sqrt (+ (* b b) (* a (* c -4))))))))
(/.f64 (*.f64 a a) (-.f64 #s(literal 0 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))
(* a (/ a (+ b (sqrt (+ (* b b) (* a (* c -4)))))))
(/.f64 (*.f64 a 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 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 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)))
(* c -4)
(*.f64 c #s(literal -4 binary64))
c
-4
#s(literal -4 binary64)

localize878.0ms (5.9%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy94.8%
(/.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))
✓accuracy80.4%
(/.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 #s(literal -2 binary64) (neg.f64 (*.f64 a (/.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))))))
✓accuracy76.8%
(+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))
✓accuracy62.2%
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))
✓accuracy95.4%
(/.f64 (/.f64 (*.f64 a (*.f64 a c)) b) b)
✓accuracy93.5%
(/.f64 b (*.f64 c (+.f64 a (/.f64 (/.f64 (*.f64 a (*.f64 a c)) b) b))))
✓accuracy90.5%
(/.f64 (*.f64 a (*.f64 a c)) b)
✓accuracy89.1%
(*.f64 (/.f64 a #s(literal -1/2 binary64)) (/.f64 b (*.f64 c (+.f64 a (/.f64 (/.f64 (*.f64 a (*.f64 a c)) b) b)))))
✓accuracy100.0%
(*.f64 a (*.f64 c #s(literal 2 binary64)))
✓accuracy100.0%
(*.f64 a #s(literal -2 binary64))
✓accuracy92.4%
(/.f64 (*.f64 a (*.f64 c #s(literal 2 binary64))) b)
✓accuracy84.8%
(/.f64 (/.f64 (*.f64 a (*.f64 c #s(literal 2 binary64))) b) (*.f64 a #s(literal -2 binary64)))
✓accuracy100.0%
(/.f64 c b)
✓accuracy98.7%
(+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))
✓accuracy94.8%
(/.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))
✓accuracy76.8%
(+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))
✓accuracy62.2%
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))
Results
389.0ms168×0valid
130.0ms65×1valid
31.0ms20×2valid
6.0ms3×3valid
Compiler

Compiled 371 to 38 computations (89.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 340.0ms
ival-div: 288.0ms (84.6% of total)
ival-mult: 28.0ms (8.2% of total)
backward-pass: 10.0ms (2.9% of total)
ival-add: 6.0ms (1.8% of total)
ival-sqrt: 4.0ms (1.2% of total)
ival-sub: 2.0ms (0.6% of total)
ival-neg: 2.0ms (0.6% of total)
const: 1.0ms (0.3% of total)

series492.0ms (3.3%)

Counts
21 → 636
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 (/ c b)>
#<alt (/ (/ (* a (* c 2)) b) (* a -2))>
#<alt (/ (* a (* c 2)) b)>
#<alt (* a (* c 2))>
#<alt (* c 2)>
#<alt (/ 2 (* (/ a -1/2) (/ b (* c (+ a (/ (/ (* a (* a c)) b) b))))))>
#<alt (* (/ a -1/2) (/ b (* c (+ a (/ (/ (* a (* a c)) b) b)))))>
#<alt (/ a -1/2)>
#<alt (/ b (* c (+ a (/ (/ (* a (* a c)) b) b))))>
#<alt (/ (- 0 a) (* -2 (neg (* a (/ a (+ b (sqrt (+ (* b b) (* a (* c -4))))))))))>
#<alt (* -2 (neg (* a (/ a (+ b (sqrt (+ (* b b) (* a (* c -4)))))))))>
#<alt (- 0 a)>
#<alt (* a (/ a (+ b (sqrt (+ (* b b) (* a (* c -4)))))))>
#<alt (+ (* b b) (* a (* c -4)))>
#<alt (* a -2)>
#<alt (/ (* a (* a c)) b)>
#<alt (/ (/ (* a (* a c)) 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)))))))>
#<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)))>
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#<alt (* (pow a 2) (+ (* a (- (/ (* a (pow c 2)) (pow b 5)) (* -1/2 (/ c (pow b 3))))) (* 1/2 (/ 1 b))))>
#<alt (* (pow a 2) (+ (* 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 (/ (pow a 3) c)) (/ 1 (sqrt -4)))>
#<alt (* a (+ (* -1 (/ b (* c (pow (sqrt -4) 2)))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))))>
#<alt (* a (- (+ (* -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 (* a (- (+ (* -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 (/ (pow a 3) c)) (sqrt -1)))>
#<alt (* -1 (* a (+ (* -1/4 (/ b c)) (* 1/2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -1 (* a (+ (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1))))) (* -1/4 (/ (* a b) c))) a)) (* 1/2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -1 (* a (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1))))))))) (* -1/32 (/ (* a (pow b 3)) (pow c 2)))) (+ (* -1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))))) a)) (* -1/4 (/ (* a b) c))) a)) (* 1/2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* (sqrt (/ (pow a 3) c)) (/ 1 (sqrt -4)))>
#<alt (+ (* -1 (/ (* a b) (* c (pow (sqrt -4) 2)))) (* (sqrt (/ (pow a 3) c)) (/ 1 (sqrt -4))))>
#<alt (+ (* b (- (* -1 (* b (+ (* -1 (* (sqrt (/ a (pow c 3))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ a (pow c 3))) (/ 1 (pow (sqrt -4) 3))))))) (/ a (* c (pow (sqrt -4) 2))))) (* (sqrt (/ (pow a 3) c)) (/ 1 (sqrt -4))))>
#<alt (+ (* b (- (* b (- (* b (- (* 1/2 (/ 1 (* (pow c 2) (pow (sqrt -4) 4)))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ a (pow c 3))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ a (pow c 3))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4)))))) (+ (* -1 (* (sqrt (/ a (pow c 3))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ a (pow c 3))) (/ 1 (pow (sqrt -4) 3))))))) (/ a (* c (pow (sqrt -4) 2))))) (* (sqrt (/ (pow a 3) c)) (/ 1 (sqrt -4))))>
#<alt (* 1/2 (/ (pow a 2) b))>
#<alt (/ (+ (* 1/2 (/ (* (pow a 3) c) (pow b 2))) (* 1/2 (pow a 2))) b)>
#<alt (/ (- (+ (* 1/2 (pow a 2)) (/ (* (pow a 4) (pow c 2)) (pow b 4))) (* -1/2 (/ (* (pow a 3) c) (pow b 2)))) b)>
#<alt (/ (- (+ (* -1 (/ (+ (* -2 (* (pow a 5) (pow c 3))) (* -1/2 (* (pow a 5) (pow c 3)))) (pow b 6))) (* 1/2 (pow a 2))) (+ (* -1 (/ (* (pow a 4) (pow c 2)) (pow b 4))) (* -1/2 (/ (* (pow a 3) c) (pow b 2))))) b)>
#<alt (* 1/2 (/ (* a b) c))>
#<alt (* -1 (* b (+ (* -1/2 (/ a c)) (* 1/2 (/ (pow a 2) (pow b 2))))))>
#<alt (* -1 (* b (- (+ (* -1 (/ (+ (* -1 (* (pow a 3) c)) (* 1/2 (* (pow a 3) c))) (pow b 4))) (* -1/2 (/ a c))) (* -1/2 (/ (pow a 2) (pow b 2))))))>
#<alt (* -1 (* b (- (+ (* -1 (/ (+ (* -1 (* a (* c (+ (* -1 (* (pow a 3) c)) (* 1/2 (* (pow a 3) c)))))) (+ (* -1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow c 2))) (* (pow a 4) (pow c 2)))) (pow b 6))) (* -1/2 (/ a c))) (+ (* -1 (/ (* (pow a 3) c) (pow b 4))) (+ (* -1/2 (/ (pow a 2) (pow b 2))) (* 1/2 (/ (* (pow a 3) c) (pow b 4))))))))>
#<alt (* 1/2 (/ (pow a 2) b))>
#<alt (+ (* 1/2 (/ (* (pow a 3) c) (pow b 3))) (* 1/2 (/ (pow a 2) b)))>
#<alt (+ (* 1/2 (/ (pow a 2) b)) (* c (- (/ (* (pow a 4) c) (pow b 5)) (* -1/2 (/ (pow a 3) (pow b 3))))))>
#<alt (+ (* 1/2 (/ (pow a 2) b)) (* c (- (* c (- (* -1 (* c (+ (* -2 (/ (pow a 5) (pow b 7))) (* -1/2 (/ (pow a 5) (pow b 7)))))) (* -1 (/ (pow a 4) (pow b 5))))) (* -1/2 (/ (pow a 3) (pow b 3))))))>
#<alt (* (sqrt (/ (pow a 3) c)) (/ 1 (sqrt -4)))>
#<alt (/ (+ (* -1 (/ (* a b) (pow (sqrt -4) 2))) (* (sqrt (* (pow a 3) c)) (/ 1 (sqrt -4)))) c)>
#<alt (/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (* a (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (* a (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2))) (* (sqrt (* (pow a 3) c)) (/ 1 (sqrt -4)))) (/ (* a b) (pow (sqrt -4) 2))) c)>
#<alt (/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (* a (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (* a (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (* -1/2 (/ (* (pow b 3) (pow c 2)) (pow (sqrt -4) 4)))) (pow c 3))) (* (sqrt (* (pow a 3) c)) (/ 1 (sqrt -4)))) (+ (* -1 (* (sqrt (/ a c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ a c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (/ (* a b) (pow (sqrt -4) 2))))) c)>
#<alt (* -1/2 (* (sqrt (/ (pow a 3) c)) (sqrt -1)))>
#<alt (* -1 (/ (+ (* -1/4 (* a b)) (* 1/2 (* (sqrt (* (pow a 3) c)) (sqrt -1)))) c))>
#<alt (* -1 (/ (+ (* -1 (/ (- (+ (* -1/8 (* (sqrt (* a c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (* a c)) (* (pow b 2) (sqrt -1))))) (* -1/4 (* a (* b c)))) c)) (* 1/2 (* (sqrt (* (pow a 3) c)) (sqrt -1)))) c))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (* a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (* a (pow c 3))) (* (pow b 2) (sqrt -1))))))))) (* -1/32 (* (pow b 3) c))) (+ (* -1/8 (* (sqrt (* a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (* a (pow c 3))) (* (pow b 2) (sqrt -1)))))) c)) (* -1/4 (* a (* b c)))) c)) (* 1/2 (* (sqrt (* (pow a 3) c)) (sqrt -1)))) 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 (* -2 a)>
#<alt (* -2 a)>
#<alt (* -2 a)>
#<alt (* -2 a)>
#<alt (* -2 a)>
#<alt (* -2 a)>
#<alt (* -2 a)>
#<alt (* -2 a)>
#<alt (* -2 a)>
#<alt (* -2 a)>
#<alt (* -2 a)>
#<alt (* -2 a)>
#<alt (/ (* (pow a 2) c) b)>
#<alt (/ (* (pow a 2) c) b)>
#<alt (/ (* (pow a 2) c) b)>
#<alt (/ (* (pow a 2) c) b)>
#<alt (/ (* (pow a 2) c) b)>
#<alt (/ (* (pow a 2) c) b)>
#<alt (/ (* (pow a 2) c) b)>
#<alt (/ (* (pow a 2) c) b)>
#<alt (/ (* (pow a 2) c) b)>
#<alt (/ (* (pow a 2) c) b)>
#<alt (/ (* (pow a 2) c) b)>
#<alt (/ (* (pow a 2) c) b)>
#<alt (/ (* (pow a 2) c) b)>
#<alt (/ (* (pow a 2) c) b)>
#<alt (/ (* (pow a 2) c) b)>
#<alt (/ (* (pow a 2) c) b)>
#<alt (/ (* (pow a 2) c) b)>
#<alt (/ (* (pow a 2) c) b)>
#<alt (/ (* (pow a 2) c) b)>
#<alt (/ (* (pow a 2) c) b)>
#<alt (/ (* (pow a 2) c) b)>
#<alt (/ (* (pow a 2) c) b)>
#<alt (/ (* (pow a 2) c) b)>
#<alt (/ (* (pow a 2) c) b)>
#<alt (/ (* (pow a 2) c) b)>
#<alt (/ (* (pow a 2) c) b)>
#<alt (/ (* (pow a 2) c) b)>
#<alt (/ (* (pow a 2) c) b)>
#<alt (/ (* (pow a 2) c) b)>
#<alt (/ (* (pow a 2) c) b)>
#<alt (/ (* (pow a 2) c) b)>
#<alt (/ (* (pow a 2) c) b)>
#<alt (/ (* (pow a 2) c) b)>
#<alt (/ (* (pow a 2) c) b)>
#<alt (/ (* (pow a 2) c) b)>
#<alt (/ (* (pow a 2) c) b)>
#<alt (/ (* (pow a 2) c) (pow b 2))>
#<alt (/ (* (pow a 2) c) (pow b 2))>
#<alt (/ (* (pow a 2) c) (pow b 2))>
#<alt (/ (* (pow a 2) c) (pow b 2))>
#<alt (/ (* (pow a 2) c) (pow b 2))>
#<alt (/ (* (pow a 2) c) (pow b 2))>
#<alt (/ (* (pow a 2) c) (pow b 2))>
#<alt (/ (* (pow a 2) c) (pow b 2))>
#<alt (/ (* (pow a 2) c) (pow b 2))>
#<alt (/ (* (pow a 2) c) (pow b 2))>
#<alt (/ (* (pow a 2) c) (pow b 2))>
#<alt (/ (* (pow a 2) c) (pow b 2))>
#<alt (/ (* (pow a 2) c) (pow b 2))>
#<alt (/ (* (pow a 2) c) (pow b 2))>
#<alt (/ (* (pow a 2) c) (pow b 2))>
#<alt (/ (* (pow a 2) c) (pow b 2))>
#<alt (/ (* (pow a 2) c) (pow b 2))>
#<alt (/ (* (pow a 2) c) (pow b 2))>
#<alt (/ (* (pow a 2) c) (pow b 2))>
#<alt (/ (* (pow a 2) c) (pow b 2))>
#<alt (/ (* (pow a 2) c) (pow b 2))>
#<alt (/ (* (pow a 2) c) (pow b 2))>
#<alt (/ (* (pow a 2) c) (pow b 2))>
#<alt (/ (* (pow a 2) c) (pow b 2))>
#<alt (/ (* (pow a 2) c) (pow b 2))>
#<alt (/ (* (pow a 2) c) (pow b 2))>
#<alt (/ (* (pow a 2) c) (pow b 2))>
#<alt (/ (* (pow a 2) c) (pow b 2))>
#<alt (/ (* (pow a 2) c) (pow b 2))>
#<alt (/ (* (pow a 2) c) (pow b 2))>
#<alt (/ (* (pow a 2) c) (pow b 2))>
#<alt (/ (* (pow a 2) c) (pow b 2))>
#<alt (/ (* (pow a 2) c) (pow b 2))>
#<alt (/ (* (pow a 2) c) (pow b 2))>
#<alt (/ (* (pow a 2) c) (pow b 2))>
#<alt (/ (* (pow a 2) c) (pow b 2))>
Calls

159 calls:

TimeVariablePointExpression
411.0ms
a
@0
(/ 2 (* (/ a -1/2) (/ b (* c (+ a (/ (/ (* a (* a c)) b) b))))))
3.0ms
c
@inf
(/ a (+ b (sqrt (+ (* b b) (* a (* c -4))))))
2.0ms
a
@-inf
(* -2 (neg (* a (/ a (+ b (sqrt (+ (* b b) (* a (* c -4)))))))))
2.0ms
c
@0
(/ a (+ b (sqrt (+ (* b b) (* a (* c -4))))))
1.0ms
a
@inf
(/ a (+ b (sqrt (+ (* b b) (* a (* c -4))))))

rewrite362.0ms (2.4%)

Algorithm
1×batch-egg-rewrite
Rules
5924×*-lowering-*.f32
5924×*-lowering-*.f64
4028×/-lowering-/.f32
4028×/-lowering-/.f64
1652×times-frac
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
037208
1171190
21117182
08614182
Stop Event
1×iter limit
1×node limit
Counts
21 → 1299
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))))
(/ c b)
(/ (/ (* a (* c 2)) b) (* a -2))
(/ (* a (* c 2)) b)
(* a (* c 2))
(* c 2)
(/ 2 (* (/ a -1/2) (/ b (* c (+ a (/ (/ (* a (* a c)) b) b))))))
(* (/ a -1/2) (/ b (* c (+ a (/ (/ (* a (* a c)) b) b)))))
(/ a -1/2)
(/ b (* c (+ a (/ (/ (* a (* a c)) b) b))))
(/ (- 0 a) (* -2 (neg (* a (/ a (+ b (sqrt (+ (* b b) (* a (* c -4))))))))))
(* -2 (neg (* a (/ a (+ b (sqrt (+ (* b b) (* a (* c -4)))))))))
(- 0 a)
(* a (/ a (+ b (sqrt (+ (* b b) (* a (* c -4)))))))
(+ (* b b) (* a (* c -4)))
(* a -2)
(/ (* a (* a c)) b)
(/ (/ (* a (* a c)) b) b)
Outputs
(+.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))) #s(literal 0 binary64))
(+.f64 (/.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 #s(literal 1/2 binary64) (/.f64 (*.f64 a a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))) #s(literal 0 binary64)))
(+.f64 #s(literal 0 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 0 binary64) (*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))) #s(literal 1 binary64)))
(+.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 a #s(literal -1/2 binary64))) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 a #s(literal -1/2 binary64))))
(+.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 a #s(literal -1/2 binary64))) (/.f64 b (/.f64 a #s(literal -1/2 binary64))))
(+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))) #s(literal 0 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 #s(literal 1 binary64) (/.f64 b (/.f64 a #s(literal -1/2 binary64)))) (*.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 a #s(literal -1/2 binary64)))))
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 a #s(literal -1/2 binary64)))) (*.f64 #s(literal 1 binary64) (/.f64 b (/.f64 a #s(literal -1/2 binary64)))))
(+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(literal 0 binary64) b)) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))
(+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(literal 0 binary64) b)))
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) b) #s(literal 1 binary64)) (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) #s(literal 1 binary64)) (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) b) #s(literal 1 binary64)))
(+.f64 (*.f64 (/.f64 b (/.f64 a #s(literal -1/2 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 a #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 a #s(literal -1/2 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 b (/.f64 a #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 #s(literal 1/2 binary64) a)) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (/.f64 #s(literal 1/2 binary64) a)))
(+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (/.f64 #s(literal 1/2 binary64) a)) (*.f64 (-.f64 #s(literal 0 binary64) 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 a (*.f64 c #s(literal -4 binary64))))))) #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 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 #s(literal 0 binary64) (pow.f64 (/.f64 (/.f64 (*.f64 a a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 a (/.f64 (/.f64 (*.f64 a a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))) #s(literal 1/2 binary64))) (pow.f64 (/.f64 (/.f64 (*.f64 a a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
(fma.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 a #s(literal -1/2 binary64))))
(fma.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 a #s(literal -1/2 binary64))))
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(/.f64 (*.f64 (/.f64 (*.f64 a a) b) #s(literal 1 binary64)) (/.f64 b c))
(/.f64 (*.f64 (/.f64 a b) #s(literal 1 binary64)) (/.f64 b (*.f64 a c)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) b) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 b (*.f64 a a)) c)))
(/.f64 (*.f64 (*.f64 a (*.f64 c (/.f64 a b))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) b))
(/.f64 (*.f64 (/.f64 a b) (*.f64 c (-.f64 #s(literal 0 binary64) a))) (-.f64 #s(literal 0 binary64) b))
(/.f64 (*.f64 (/.f64 (*.f64 a a) b) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 b c)))
(pow.f64 (/.f64 b (*.f64 a (*.f64 c (/.f64 a b)))) #s(literal -1 binary64))
(*.f64 a (/.f64 (*.f64 c (/.f64 a b)) b))
(*.f64 a (*.f64 c (/.f64 a (*.f64 b b))))
(*.f64 a (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 c (/.f64 a b))) (/.f64 #s(literal -1 binary64) b)))
(*.f64 a (*.f64 a (/.f64 c (*.f64 b b))))
(*.f64 c (*.f64 a (/.f64 a (*.f64 b b))))
(*.f64 c (*.f64 (*.f64 a a) (/.f64 (/.f64 #s(literal 1 binary64) b) b)))
(*.f64 c (*.f64 (/.f64 a b) (/.f64 a b)))
(*.f64 (/.f64 c b) (/.f64 (*.f64 a a) b))
(*.f64 (*.f64 a c) (/.f64 a (*.f64 b b)))
(*.f64 (*.f64 a c) (*.f64 (/.f64 a b) (/.f64 #s(literal 1 binary64) b)))
(*.f64 (*.f64 a c) (*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 a b)))
(*.f64 (*.f64 a (*.f64 a c)) (/.f64 (/.f64 #s(literal 1 binary64) b) b))
(*.f64 (*.f64 a (*.f64 a c)) (*.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 #s(literal -1 binary64) b)))
(*.f64 (*.f64 a (*.f64 c (/.f64 a b))) (/.f64 #s(literal 1 binary64) b))
(*.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 (*.f64 c (/.f64 a b)) (/.f64 #s(literal -1 binary64) b)))
(*.f64 (*.f64 a (*.f64 c (-.f64 #s(literal 0 binary64) a))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b b))))
(*.f64 (*.f64 a (*.f64 c (-.f64 #s(literal 0 binary64) a))) (*.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 #s(literal 1 binary64) b)))
(*.f64 (*.f64 a (*.f64 c (-.f64 #s(literal 0 binary64) a))) (*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal -1 binary64) b)))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 b (*.f64 a a)) c)) (/.f64 #s(literal -1 binary64) b))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 c (/.f64 a b))) b))
(*.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 a (*.f64 c (/.f64 a b))))
(*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a c)))))
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 b (*.f64 a a)) c)) b))
(*.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 (*.f64 c (/.f64 a b)) b)))
(*.f64 (*.f64 a a) (/.f64 c (*.f64 b b)))
(*.f64 (*.f64 a a) (*.f64 (/.f64 c b) (/.f64 #s(literal 1 binary64) b)))
(*.f64 (*.f64 c (/.f64 a b)) (/.f64 a b))
(*.f64 (/.f64 a b) (*.f64 c (/.f64 a b)))
(*.f64 (/.f64 (*.f64 a a) b) (/.f64 c b))
(*.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 b (*.f64 a a)) c)))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 c (/.f64 a b))) (/.f64 a (-.f64 #s(literal 0 binary64) b)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) b) (*.f64 a (*.f64 a c)))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 a c)) (/.f64 a (*.f64 b b)))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) a) b) (-.f64 #s(literal 0 binary64) (*.f64 c (/.f64 a b))))
(*.f64 (/.f64 a #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 c (/.f64 a b))) b))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) a) #s(literal -1 binary64)) (/.f64 (*.f64 c (/.f64 a b)) b))
(*.f64 (/.f64 (*.f64 a (*.f64 a c)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) b) b))
(*.f64 (/.f64 (*.f64 a (*.f64 c (-.f64 #s(literal 0 binary64) a))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) b) b))
(*.f64 (/.f64 (*.f64 a (-.f64 #s(literal 0 binary64) a)) b) (/.f64 c (-.f64 #s(literal 0 binary64) b)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 1 binary64)) (*.f64 a (*.f64 c (/.f64 a b))))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 a b)) (*.f64 c (/.f64 a b)))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 a a) b)) (/.f64 c b))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) b) a) (*.f64 c (/.f64 a b)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 a c)) (/.f64 a b))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 a a)) (/.f64 c b))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 c (/.f64 a b))) a)
(*.f64 (*.f64 (/.f64 a b) a) (/.f64 c b))
(*.f64 (*.f64 (/.f64 a b) (*.f64 a c)) (/.f64 #s(literal 1 binary64) b))
(*.f64 (*.f64 (/.f64 (*.f64 a a) b) (-.f64 #s(literal 0 binary64) c)) (/.f64 #s(literal -1 binary64) b))
(*.f64 (*.f64 (/.f64 (*.f64 a a) b) #s(literal 1 binary64)) (/.f64 c b))
(*.f64 (*.f64 (/.f64 (*.f64 a a) b) (/.f64 #s(literal 1 binary64) b)) c)

simplify666.0ms (4.5%)

Algorithm
1×egg-herbie
Rules
6346×*-lowering-*.f32
6346×*-lowering-*.f64
2676×+-lowering-+.f64
2676×+-lowering-+.f32
1698×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0149610745
153189865
083009865
Stop Event
1×iter limit
1×node limit
Counts
636 → 636
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))
(* -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))
(* -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))
(* (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)))
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b
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b
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b
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(* (sqrt (* a c)) (sqrt -4))
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(* -2 (* (sqrt (* a c)) (sqrt -1)))
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(/ c b)
(/ c b)
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(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
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(* 2 (/ (* a c) b))
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(* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3)))))
(* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3)))))
(* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3)))))
(* -1 (/ (* a (pow c 2)) (pow b 3)))
(* -1 (* a (+ (/ c (* a b)) (/ (pow c 2) (pow b 3)))))
(* -1 (* a (+ (/ c (* a b)) (/ (pow c 2) (pow b 3)))))
(* -1 (* a (+ (/ c (* a b)) (/ (pow c 2) (pow b 3)))))
(* -1 (/ (* a (pow c 2)) (pow b 3)))
(/ (+ (* -1 (* a (pow c 2))) (* -1 (* (pow b 2) c))) (pow b 3))
(/ (+ (* -1 (* a (pow c 2))) (* -1 (* (pow b 2) c))) (pow b 3))
(/ (+ (* -1 (* a (pow c 2))) (* -1 (* (pow b 2) c))) (pow b 3))
(* -1 (/ c b))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(* -1 (/ c b))
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))
(* -1 (/ c b))
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(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* -1 (/ (* a (pow c 2)) (pow b 3)))
(* (pow c 2) (- (* -1 (/ a (pow b 3))) (/ 1 (* b c))))
(* (pow c 2) (- (* -1 (/ a (pow b 3))) (/ 1 (* b c))))
(* (pow c 2) (- (* -1 (/ a (pow b 3))) (/ 1 (* b c))))
(* -1 (/ (* a (pow c 2)) (pow b 3)))
(* (pow c 2) (- (* -1 (/ a (pow b 3))) (/ 1 (* b c))))
(* (pow c 2) (- (* -1 (/ a (pow b 3))) (/ 1 (* b c))))
(* (pow c 2) (- (* -1 (/ a (pow b 3))) (/ 1 (* b c))))
(* -2 (/ b c))
(+ (* -2 (/ b c)) (* 2 (/ a b)))
(+ (* -2 (/ b c)) (* a (+ (* -2 (/ (* a c) (pow b 3))) (* 2 (/ 1 b)))))
(+ (* -2 (/ b c)) (* a (+ (* a (+ (* -2 (/ c (pow b 3))) (* 2 (/ (* a (pow c 2)) (pow b 5))))) (* 2 (/ 1 b)))))
(* -2 (/ (pow b 3) (* a (pow c 2))))
(/ (+ (* -2 (/ (pow b 3) (pow c 2))) (* 2 (/ (pow b 5) (* a (pow c 3))))) a)
(/ (+ (* -2 (/ (pow b 3) (pow c 2))) (+ (* -2 (/ (pow b 7) (* (pow a 2) (pow c 4)))) (* 2 (/ (pow b 5) (* a (pow c 3)))))) a)
(/ (+ (* -2 (/ (pow b 3) (pow c 2))) (+ (* -2 (/ (pow b 7) (* (pow a 2) (pow c 4)))) (+ (* 2 (/ (pow b 5) (* a (pow c 3)))) (* 2 (/ (pow b 9) (* (pow a 3) (pow c 5))))))) a)
(* -2 (/ (pow b 3) (* a (pow c 2))))
(* -1 (/ (+ (* -2 (/ (pow b 5) (* a (pow c 3)))) (* 2 (/ (pow b 3) (pow c 2)))) a))
(* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow b 7) (* a (pow c 4)))) (* 2 (/ (pow b 5) (pow c 3)))) a)) (* 2 (/ (pow b 3) (pow c 2)))) a))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow b 9) (* a (pow c 5)))) (* 2 (/ (pow b 7) (pow c 4)))) a)) (* 2 (/ (pow b 5) (pow c 3)))) a)) (* 2 (/ (pow b 3) (pow c 2)))) a))
(* -2 (/ (pow b 3) (* a (pow c 2))))
(* (pow b 3) (- (* 2 (/ (pow b 2) (* (pow a 2) (pow c 3)))) (* 2 (/ 1 (* a (pow c 2))))))
(* (pow b 3) (- (* (pow b 2) (+ (* -2 (/ (pow b 2) (* (pow a 3) (pow c 4)))) (* 2 (/ 1 (* (pow a 2) (pow c 3)))))) (* 2 (/ 1 (* a (pow c 2))))))
(* (pow b 3) (- (* (pow b 2) (+ (* (pow b 2) (- (* 2 (/ (pow b 2) (* (pow a 4) (pow c 5)))) (* 2 (/ 1 (* (pow a 3) (pow c 4)))))) (* 2 (/ 1 (* (pow a 2) (pow c 3)))))) (* 2 (/ 1 (* a (pow c 2))))))
(* -2 (/ b c))
(* b (- (* 2 (/ a (pow b 2))) (* 2 (/ 1 c))))
(* b (- (+ (* -2 (/ (* (pow a 2) c) (pow b 4))) (* 2 (/ a (pow b 2)))) (* 2 (/ 1 c))))
(* b (- (+ (* -2 (/ (* (pow a 2) c) (pow b 4))) (+ (* 2 (/ a (pow b 2))) (* 2 (/ (* (pow a 3) (pow c 2)) (pow b 6))))) (* 2 (/ 1 c))))
(* -2 (/ b c))
(* -1 (* b (+ (* -2 (/ a (pow b 2))) (* 2 (/ 1 c)))))
(* -1 (* b (+ (* -2 (/ a (pow b 2))) (+ (* 2 (/ (* (pow a 2) c) (pow b 4))) (* 2 (/ 1 c))))))
(* -1 (* b (+ (* -2 (/ a (pow b 2))) (+ (* -2 (/ (* (pow a 3) (pow c 2)) (pow b 6))) (+ (* 2 (/ (* (pow a 2) c) (pow b 4))) (* 2 (/ 1 c)))))))
(* -2 (/ b c))
(/ (+ (* -2 b) (* 2 (/ (* a c) b))) c)
(/ (+ (* -2 b) (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 3))) (* 2 (/ a b))))) c)
(/ (+ (* -2 b) (* c (+ (* 2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* 2 (/ (* (pow a 3) c) (pow b 5)))))))) c)
(* -2 (/ (pow b 3) (* a (pow c 2))))
(/ (+ (* -2 (/ (pow b 3) a)) (* 2 (/ (pow b 5) (* (pow a 2) c)))) (pow c 2))
(/ (+ (* -2 (/ (pow b 3) a)) (+ (* -2 (/ (pow b 7) (* (pow a 3) (pow c 2)))) (* 2 (/ (pow b 5) (* (pow a 2) c))))) (pow c 2))
(/ (+ (* -2 (/ (pow b 3) a)) (+ (* -2 (/ (pow b 7) (* (pow a 3) (pow c 2)))) (+ (* 2 (/ (pow b 5) (* (pow a 2) c))) (* 2 (/ (pow b 9) (* (pow a 4) (pow c 3))))))) (pow c 2))
(* -2 (/ (pow b 3) (* a (pow c 2))))
(/ (+ (* -2 (/ (pow b 3) a)) (* 2 (/ (pow b 5) (* (pow a 2) c)))) (pow c 2))
(/ (+ (* -2 (/ (pow b 3) a)) (* -1 (/ (+ (* -2 (/ (pow b 5) (pow a 2))) (* 2 (/ (pow b 7) (* (pow a 3) c)))) c))) (pow c 2))
(/ (+ (* -2 (/ (pow b 3) a)) (* -1 (/ (+ (* -2 (/ (pow b 5) (pow a 2))) (* -1 (/ (+ (* -2 (/ (pow b 7) (pow a 3))) (* 2 (/ (pow b 9) (* (pow a 4) c)))) c))) c))) (pow c 2))
(* -2 a)
(* -2 a)
(* -2 a)
(* -2 a)
(* -2 a)
(* -2 a)
(* -2 a)
(* -2 a)
(* -2 a)
(* -2 a)
(* -2 a)
(* -2 a)
(/ (pow b 3) (* (pow a 2) (pow c 2)))
(* (pow b 3) (+ (* -1 (/ (pow b 2) (* (pow a 3) (pow c 3)))) (/ 1 (* (pow a 2) (pow c 2)))))
(* (pow b 3) (+ (* (pow b 2) (- (/ (pow b 2) (* (pow a 4) (pow c 4))) (/ 1 (* (pow a 3) (pow c 3))))) (/ 1 (* (pow a 2) (pow c 2)))))
(* (pow b 3) (+ (* (pow b 2) (- (* (pow b 2) (+ (* -1 (/ (pow b 2) (* (pow a 5) (pow c 5)))) (/ 1 (* (pow a 4) (pow c 4))))) (/ 1 (* (pow a 3) (pow c 3))))) (/ 1 (* (pow a 2) (pow c 2)))))
(/ b (* a c))
(* b (- (/ 1 (* a c)) (/ 1 (pow b 2))))
(* b (- (+ (/ 1 (* a c)) (/ (* a c) (pow b 4))) (/ 1 (pow b 2))))
(* b (- (+ (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 6))) (/ 1 (* a c))) (+ (* -1 (/ (* a c) (pow b 4))) (/ 1 (pow b 2)))))
(/ b (* a c))
(* -1 (* b (- (/ 1 (pow b 2)) (/ 1 (* a c)))))
(* -1 (* b (- (+ (* -1 (/ (* a c) (pow b 4))) (/ 1 (pow b 2))) (/ 1 (* a c)))))
(* -1 (* b (- (+ (/ 1 (pow b 2)) (/ (* (pow a 2) (pow c 2)) (pow b 6))) (+ (/ 1 (* a c)) (/ (* a c) (pow b 4))))))
(/ b (* a c))
(/ (+ (* -1 (/ c b)) (/ b a)) c)
(/ (+ (* c (- (/ (* a c) (pow b 3)) (/ 1 b))) (/ b a)) c)
(/ (+ (* c (- (* c (- (* -1 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) (/ b a)) c)
(/ (pow b 3) (* (pow a 2) (pow c 2)))
(/ (+ (* -1 (/ (pow b 5) (* (pow a 3) c))) (/ (pow b 3) (pow a 2))) (pow c 2))
(/ (- (+ (/ (pow b 3) (pow a 2)) (/ (pow b 7) (* (pow a 4) (pow c 2)))) (/ (pow b 5) (* (pow a 3) c))) (pow c 2))
(/ (- (+ (* -1 (/ (pow b 9) (* (pow a 5) (pow c 3)))) (/ (pow b 3) (pow a 2))) (+ (* -1 (/ (pow b 7) (* (pow a 4) (pow c 2)))) (/ (pow b 5) (* (pow a 3) c)))) (pow c 2))
(/ (pow b 3) (* (pow a 2) (pow c 2)))
(/ (+ (* -1 (/ (pow b 5) (* (pow a 3) c))) (/ (pow b 3) (pow a 2))) (pow c 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (pow b 7) (* (pow a 4) c))) (/ (pow b 5) (pow a 3))) c)) (/ (pow b 3) (pow a 2))) (pow c 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow b 9) (* (pow a 5) c))) (/ (pow b 7) (pow a 4))) c)) (/ (pow b 5) (pow a 3))) c)) (/ (pow b 3) (pow a 2))) (pow c 2))
(/ b (* a c))
(/ (+ (* -1 (/ a b)) (/ b c)) a)
(/ (+ (* a (- (/ (* a c) (pow b 3)) (/ 1 b))) (/ b c)) a)
(/ (+ (* a (- (* a (- (* -1 (/ (* a (pow c 2)) (pow b 5))) (* -1 (/ c (pow b 3))))) (/ 1 b))) (/ b c)) a)
(/ (pow b 3) (* (pow a 2) (pow c 2)))
(/ (+ (* -1 (/ (pow b 5) (* a (pow c 3)))) (/ (pow b 3) (pow c 2))) (pow a 2))
(/ (- (+ (/ (pow b 3) (pow c 2)) (/ (pow b 7) (* (pow a 2) (pow c 4)))) (/ (pow b 5) (* a (pow c 3)))) (pow a 2))
(/ (- (+ (* -1 (/ (pow b 9) (* (pow a 3) (pow c 5)))) (/ (pow b 3) (pow c 2))) (+ (* -1 (/ (pow b 7) (* (pow a 2) (pow c 4)))) (/ (pow b 5) (* a (pow c 3))))) (pow a 2))
(/ (pow b 3) (* (pow a 2) (pow c 2)))
(/ (+ (* -1 (/ (pow b 5) (* a (pow c 3)))) (/ (pow b 3) (pow c 2))) (pow a 2))
(/ (+ (* -1 (/ (- (* -1 (/ (pow b 7) (* a (pow c 4)))) (* -1 (/ (pow b 5) (pow c 3)))) a)) (/ (pow b 3) (pow c 2))) (pow a 2))
(/ (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow b 9) (* a (pow c 5)))) (* -1 (/ (pow b 7) (pow c 4)))) a)) (* -1 (/ (pow b 5) (pow c 3)))) a)) (/ (pow b 3) (pow c 2))) (pow a 2))
(* -1 (/ b a))
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(/ (+ (* -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)))
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(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* 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))
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(* 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))
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(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))
(* (sqrt (/ c a)) (sqrt -1))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)))))
(/ (pow a 2) b)
(* (pow a 2) (+ (/ 1 b) (/ (* a c) (pow b 3))))
(* (pow a 2) (+ (* a (+ (* 2 (/ (* a (pow c 2)) (pow b 5))) (/ c (pow b 3)))) (/ 1 b)))
(* (pow a 2) (+ (* a (+ (* a (+ (* -2 (* a (+ (* -2 (/ (pow c 3) (pow b 7))) (* -1/2 (/ (pow c 3) (pow b 7)))))) (* 2 (/ (pow c 2) (pow b 5))))) (/ c (pow b 3)))) (/ 1 b)))
(* 2 (* (sqrt (/ (pow a 3) c)) (/ 1 (sqrt -4))))
(* a (+ (* -2 (/ b (* c (pow (sqrt -4) 2)))) (* 2 (* (sqrt (/ a c)) (/ 1 (sqrt -4))))))
(* a (- (+ (* -1 (/ (+ (* -2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (pow a 2))) (* 2 (* (sqrt (/ a c)) (/ 1 (sqrt -4))))) (* 2 (/ b (* c (pow (sqrt -4) 2))))))
(* a (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (+ (* -2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (sqrt -4)))) (* -1 (/ (* (pow a 2) (pow b 3)) (* (pow c 2) (pow (sqrt -4) 4))))) (pow a 3))) (* 2 (* (sqrt (/ a c)) (/ 1 (sqrt -4))))) (+ (* -2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* 2 (/ b (* c (pow (sqrt -4) 2)))) (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))))
(* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1)))
(* -1 (* a (+ (* -1/2 (/ b c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* a (+ (* -1 (/ (- (+ (* -1/4 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1))))) (* -1/2 (/ (* a b) c))) a)) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/4 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1))))))))) (* -1/16 (/ (* a (pow b 3)) (pow c 2)))) (+ (* -1/4 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))))) a)) (* -1/2 (/ (* a b) c))) a)) (* (sqrt (/ a c)) (sqrt -1)))))
(* 2 (* (sqrt (/ (pow a 3) c)) (/ 1 (sqrt -4))))
(+ (* -2 (/ (* a b) (* c (pow (sqrt -4) 2)))) (* 2 (* (sqrt (/ (pow a 3) c)) (/ 1 (sqrt -4)))))
(+ (* 2 (* (sqrt (/ (pow a 3) c)) (/ 1 (sqrt -4)))) (* b (+ (* -2 (* b (+ (* -1 (* (sqrt (/ a (pow c 3))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ a (pow c 3))) (/ 1 (pow (sqrt -4) 3))))))) (* -2 (/ a (* c (pow (sqrt -4) 2)))))))
(+ (* 2 (* (sqrt (/ (pow a 3) c)) (/ 1 (sqrt -4)))) (* b (+ (* -2 (/ a (* c (pow (sqrt -4) 2)))) (* b (+ (* -2 (+ (* -1 (* (sqrt (/ a (pow c 3))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ a (pow c 3))) (/ 1 (pow (sqrt -4) 3)))))) (* 2 (* b (- (* 1/2 (/ 1 (* (pow c 2) (pow (sqrt -4) 4)))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ a (pow c 3))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ a (pow c 3))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4))))))))))))
(/ (pow a 2) b)
(/ (+ (/ (* (pow a 3) c) (pow b 2)) (pow a 2)) b)
(/ (+ (* 2 (/ (* (pow a 4) (pow c 2)) (pow b 4))) (+ (/ (* (pow a 3) c) (pow b 2)) (pow a 2))) b)
(/ (+ (* -2 (/ (+ (* -2 (* (pow a 5) (pow c 3))) (* -1/2 (* (pow a 5) (pow c 3)))) (pow b 6))) (+ (* 2 (/ (* (pow a 4) (pow c 2)) (pow b 4))) (+ (/ (* (pow a 3) c) (pow b 2)) (pow a 2)))) b)
(/ (* a b) c)
(* -1 (* b (+ (* -1 (/ a c)) (/ (pow a 2) (pow b 2)))))
(* -1 (* b (+ (* -2 (/ (+ (* -1 (* (pow a 3) c)) (* 1/2 (* (pow a 3) c))) (pow b 4))) (+ (* -1 (/ a c)) (/ (pow a 2) (pow b 2))))))
(* -1 (* b (+ (* -2 (/ (+ (* -1 (* a (* c (+ (* -1 (* (pow a 3) c)) (* 1/2 (* (pow a 3) c)))))) (+ (* -1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow c 2))) (* (pow a 4) (pow c 2)))) (pow b 6))) (+ (* -2 (/ (+ (* -1 (* (pow a 3) c)) (* 1/2 (* (pow a 3) c))) (pow b 4))) (+ (* -1 (/ a c)) (/ (pow a 2) (pow b 2)))))))
(/ (pow a 2) b)
(+ (/ (* (pow a 3) c) (pow b 3)) (/ (pow a 2) b))
(+ (* c (+ (* 2 (/ (* (pow a 4) c) (pow b 5))) (/ (pow a 3) (pow b 3)))) (/ (pow a 2) b))
(+ (* c (+ (* c (+ (* -2 (* c (+ (* -2 (/ (pow a 5) (pow b 7))) (* -1/2 (/ (pow a 5) (pow b 7)))))) (* 2 (/ (pow a 4) (pow b 5))))) (/ (pow a 3) (pow b 3)))) (/ (pow a 2) b))
(* 2 (* (sqrt (/ (pow a 3) c)) (/ 1 (sqrt -4))))
(/ (+ (* -2 (/ (* a b) (pow (sqrt -4) 2))) (* 2 (* (sqrt (* (pow a 3) c)) (/ 1 (sqrt -4))))) c)
(/ (+ (* -2 (/ (* a b) (pow (sqrt -4) 2))) (+ (* -2 (/ (+ (* -1 (* (sqrt (* a (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (* a (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2))) (* 2 (* (sqrt (* (pow a 3) c)) (/ 1 (sqrt -4)))))) c)
(/ (+ (* -2 (/ (* a b) (pow (sqrt -4) 2))) (+ (* -2 (/ (+ (* -1 (* (sqrt (* a (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (* a (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2))) (+ (* -2 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (* a (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (* a (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (* -1/2 (/ (* (pow b 3) (pow c 2)) (pow (sqrt -4) 4)))) (pow c 3))) (* 2 (* (sqrt (* (pow a 3) c)) (/ 1 (sqrt -4))))))) c)
(* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1)))
(* -1 (/ (+ (* -1/2 (* a b)) (* (sqrt (* (pow a 3) c)) (sqrt -1))) c))
(* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* a (* b c))) (* 2 (/ (+ (* -1/8 (* (sqrt (* a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (* a (pow c 3))) (* (pow b 2) (sqrt -1))))) c))) c)) (* (sqrt (* (pow a 3) c)) (sqrt -1))) c))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (+ (* -1/8 (* (sqrt (* a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (* a (pow c 3))) (* (pow b 2) (sqrt -1)))))) (* 2 (/ (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (* a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (* a (pow c 3))) (* (pow b 2) (sqrt -1))))))))) (* -1/32 (* (pow b 3) (pow c 2)))) c))) c)) (* 1/2 (* a (* b c)))) c)) (* (sqrt (* (pow a 3) c)) (sqrt -1))) c))
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* 1/2 (/ (pow a 2) b))
(* (pow a 2) (+ (* 1/2 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* (pow a 2) (+ (* a (- (/ (* a (pow c 2)) (pow b 5)) (* -1/2 (/ c (pow b 3))))) (* 1/2 (/ 1 b))))
(* (pow a 2) (+ (* 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 (/ (pow a 3) c)) (/ 1 (sqrt -4)))
(* a (+ (* -1 (/ b (* c (pow (sqrt -4) 2)))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))))
(* a (- (+ (* -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)))))
(* a (- (+ (* -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 (/ (pow a 3) c)) (sqrt -1)))
(* -1 (* a (+ (* -1/4 (/ b c)) (* 1/2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1))))) (* -1/4 (/ (* a b) c))) a)) (* 1/2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1))))))))) (* -1/32 (/ (* a (pow b 3)) (pow c 2)))) (+ (* -1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))))) a)) (* -1/4 (/ (* a b) c))) a)) (* 1/2 (* (sqrt (/ a c)) (sqrt -1))))))
(* (sqrt (/ (pow a 3) c)) (/ 1 (sqrt -4)))
(+ (* -1 (/ (* a b) (* c (pow (sqrt -4) 2)))) (* (sqrt (/ (pow a 3) c)) (/ 1 (sqrt -4))))
(+ (* b (- (* -1 (* b (+ (* -1 (* (sqrt (/ a (pow c 3))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ a (pow c 3))) (/ 1 (pow (sqrt -4) 3))))))) (/ a (* c (pow (sqrt -4) 2))))) (* (sqrt (/ (pow a 3) c)) (/ 1 (sqrt -4))))
(+ (* b (- (* b (- (* b (- (* 1/2 (/ 1 (* (pow c 2) (pow (sqrt -4) 4)))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ a (pow c 3))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ a (pow c 3))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4)))))) (+ (* -1 (* (sqrt (/ a (pow c 3))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ a (pow c 3))) (/ 1 (pow (sqrt -4) 3))))))) (/ a (* c (pow (sqrt -4) 2))))) (* (sqrt (/ (pow a 3) c)) (/ 1 (sqrt -4))))
(* 1/2 (/ (pow a 2) b))
(/ (+ (* 1/2 (/ (* (pow a 3) c) (pow b 2))) (* 1/2 (pow a 2))) b)
(/ (- (+ (* 1/2 (pow a 2)) (/ (* (pow a 4) (pow c 2)) (pow b 4))) (* -1/2 (/ (* (pow a 3) c) (pow b 2)))) b)
(/ (- (+ (* -1 (/ (+ (* -2 (* (pow a 5) (pow c 3))) (* -1/2 (* (pow a 5) (pow c 3)))) (pow b 6))) (* 1/2 (pow a 2))) (+ (* -1 (/ (* (pow a 4) (pow c 2)) (pow b 4))) (* -1/2 (/ (* (pow a 3) c) (pow b 2))))) b)
(* 1/2 (/ (* a b) c))
(* -1 (* b (+ (* -1/2 (/ a c)) (* 1/2 (/ (pow a 2) (pow b 2))))))
(* -1 (* b (- (+ (* -1 (/ (+ (* -1 (* (pow a 3) c)) (* 1/2 (* (pow a 3) c))) (pow b 4))) (* -1/2 (/ a c))) (* -1/2 (/ (pow a 2) (pow b 2))))))
(* -1 (* b (- (+ (* -1 (/ (+ (* -1 (* a (* c (+ (* -1 (* (pow a 3) c)) (* 1/2 (* (pow a 3) c)))))) (+ (* -1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow c 2))) (* (pow a 4) (pow c 2)))) (pow b 6))) (* -1/2 (/ a c))) (+ (* -1 (/ (* (pow a 3) c) (pow b 4))) (+ (* -1/2 (/ (pow a 2) (pow b 2))) (* 1/2 (/ (* (pow a 3) c) (pow b 4))))))))
(* 1/2 (/ (pow a 2) b))
(+ (* 1/2 (/ (* (pow a 3) c) (pow b 3))) (* 1/2 (/ (pow a 2) b)))
(+ (* 1/2 (/ (pow a 2) b)) (* c (- (/ (* (pow a 4) c) (pow b 5)) (* -1/2 (/ (pow a 3) (pow b 3))))))
(+ (* 1/2 (/ (pow a 2) b)) (* c (- (* c (- (* -1 (* c (+ (* -2 (/ (pow a 5) (pow b 7))) (* -1/2 (/ (pow a 5) (pow b 7)))))) (* -1 (/ (pow a 4) (pow b 5))))) (* -1/2 (/ (pow a 3) (pow b 3))))))
(* (sqrt (/ (pow a 3) c)) (/ 1 (sqrt -4)))
(/ (+ (* -1 (/ (* a b) (pow (sqrt -4) 2))) (* (sqrt (* (pow a 3) c)) (/ 1 (sqrt -4)))) c)
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (* a (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (* a (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2))) (* (sqrt (* (pow a 3) c)) (/ 1 (sqrt -4)))) (/ (* a b) (pow (sqrt -4) 2))) c)
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (* a (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (* a (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (* -1/2 (/ (* (pow b 3) (pow c 2)) (pow (sqrt -4) 4)))) (pow c 3))) (* (sqrt (* (pow a 3) c)) (/ 1 (sqrt -4)))) (+ (* -1 (* (sqrt (/ a c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ a c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (/ (* a b) (pow (sqrt -4) 2))))) c)
(* -1/2 (* (sqrt (/ (pow a 3) c)) (sqrt -1)))
(* -1 (/ (+ (* -1/4 (* a b)) (* 1/2 (* (sqrt (* (pow a 3) c)) (sqrt -1)))) c))
(* -1 (/ (+ (* -1 (/ (- (+ (* -1/8 (* (sqrt (* a c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (* a c)) (* (pow b 2) (sqrt -1))))) (* -1/4 (* a (* b c)))) c)) (* 1/2 (* (sqrt (* (pow a 3) c)) (sqrt -1)))) c))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (* a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (* a (pow c 3))) (* (pow b 2) (sqrt -1))))))))) (* -1/32 (* (pow b 3) c))) (+ (* -1/8 (* (sqrt (* a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (* a (pow c 3))) (* (pow b 2) (sqrt -1)))))) c)) (* -1/4 (* a (* b c)))) c)) (* 1/2 (* (sqrt (* (pow a 3) c)) (sqrt -1)))) 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))))
(* -2 a)
(* -2 a)
(* -2 a)
(* -2 a)
(* -2 a)
(* -2 a)
(* -2 a)
(* -2 a)
(* -2 a)
(* -2 a)
(* -2 a)
(* -2 a)
(/ (* (pow a 2) c) b)
(/ (* (pow a 2) c) b)
(/ (* (pow a 2) c) b)
(/ (* (pow a 2) c) b)
(/ (* (pow a 2) c) b)
(/ (* (pow a 2) c) b)
(/ (* (pow a 2) c) b)
(/ (* (pow a 2) c) b)
(/ (* (pow a 2) c) b)
(/ (* (pow a 2) c) b)
(/ (* (pow a 2) c) b)
(/ (* (pow a 2) c) b)
(/ (* (pow a 2) c) b)
(/ (* (pow a 2) c) b)
(/ (* (pow a 2) c) b)
(/ (* (pow a 2) c) b)
(/ (* (pow a 2) c) b)
(/ (* (pow a 2) c) b)
(/ (* (pow a 2) c) b)
(/ (* (pow a 2) c) b)
(/ (* (pow a 2) c) b)
(/ (* (pow a 2) c) b)
(/ (* (pow a 2) c) b)
(/ (* (pow a 2) c) b)
(/ (* (pow a 2) c) b)
(/ (* (pow a 2) c) b)
(/ (* (pow a 2) c) b)
(/ (* (pow a 2) c) b)
(/ (* (pow a 2) c) b)
(/ (* (pow a 2) c) b)
(/ (* (pow a 2) c) b)
(/ (* (pow a 2) c) b)
(/ (* (pow a 2) c) b)
(/ (* (pow a 2) c) b)
(/ (* (pow a 2) c) b)
(/ (* (pow a 2) c) b)
(/ (* (pow a 2) c) (pow b 2))
(/ (* (pow a 2) c) (pow b 2))
(/ (* (pow a 2) c) (pow b 2))
(/ (* (pow a 2) c) (pow b 2))
(/ (* (pow a 2) c) (pow b 2))
(/ (* (pow a 2) c) (pow b 2))
(/ (* (pow a 2) c) (pow b 2))
(/ (* (pow a 2) c) (pow b 2))
(/ (* (pow a 2) c) (pow b 2))
(/ (* (pow a 2) c) (pow b 2))
(/ (* (pow a 2) c) (pow b 2))
(/ (* (pow a 2) c) (pow b 2))
(/ (* (pow a 2) c) (pow b 2))
(/ (* (pow a 2) c) (pow b 2))
(/ (* (pow a 2) c) (pow b 2))
(/ (* (pow a 2) c) (pow b 2))
(/ (* (pow a 2) c) (pow b 2))
(/ (* (pow a 2) c) (pow b 2))
(/ (* (pow a 2) c) (pow b 2))
(/ (* (pow a 2) c) (pow b 2))
(/ (* (pow a 2) c) (pow b 2))
(/ (* (pow a 2) c) (pow b 2))
(/ (* (pow a 2) c) (pow b 2))
(/ (* (pow a 2) c) (pow b 2))
(/ (* (pow a 2) c) (pow b 2))
(/ (* (pow a 2) c) (pow b 2))
(/ (* (pow a 2) c) (pow b 2))
(/ (* (pow a 2) c) (pow b 2))
(/ (* (pow a 2) c) (pow b 2))
(/ (* (pow a 2) c) (pow b 2))
(/ (* (pow a 2) c) (pow b 2))
(/ (* (pow a 2) c) (pow b 2))
(/ (* (pow a 2) c) (pow b 2))
(/ (* (pow a 2) c) (pow b 2))
(/ (* (pow a 2) c) (pow b 2))
(/ (* (pow a 2) c) (pow b 2))
Outputs
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/.f64 (-.f64 (/.f64 (*.f64 a c) b) b) a)
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/.f64 (-.f64 (*.f64 a (+.f64 (/.f64 c b) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b b))))) b) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)
(/.f64 (-.f64 (*.f64 a (+.f64 (/.f64 c b) (*.f64 a (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a (*.f64 c (*.f64 c c)))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))))))) b) a)
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 b b)) (sqrt.f64 #s(literal -4 binary64)))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 b b)) (sqrt.f64 #s(literal -4 binary64)))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (pow.f64 a #s(literal 5 binary64))))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64))))))))
(* (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)))
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(/ (* (pow a 2) c) b)
(/.f64 (*.f64 c (*.f64 a a)) b)
(/ (* (pow a 2) c) b)
(/.f64 (*.f64 c (*.f64 a a)) b)
(/ (* (pow a 2) c) b)
(/.f64 (*.f64 c (*.f64 a a)) b)
(/ (* (pow a 2) c) b)
(/.f64 (*.f64 c (*.f64 a a)) b)
(/ (* (pow a 2) c) b)
(/.f64 (*.f64 c (*.f64 a a)) b)
(/ (* (pow a 2) c) b)
(/.f64 (*.f64 c (*.f64 a a)) b)
(/ (* (pow a 2) c) b)
(/.f64 (*.f64 c (*.f64 a a)) b)
(/ (* (pow a 2) c) (pow b 2))
(/.f64 (*.f64 c (*.f64 a a)) (*.f64 b b))
(/ (* (pow a 2) c) (pow b 2))
(/.f64 (*.f64 c (*.f64 a a)) (*.f64 b b))
(/ (* (pow a 2) c) (pow b 2))
(/.f64 (*.f64 c (*.f64 a a)) (*.f64 b b))
(/ (* (pow a 2) c) (pow b 2))
(/.f64 (*.f64 c (*.f64 a a)) (*.f64 b b))
(/ (* (pow a 2) c) (pow b 2))
(/.f64 (*.f64 c (*.f64 a a)) (*.f64 b b))
(/ (* (pow a 2) c) (pow b 2))
(/.f64 (*.f64 c (*.f64 a a)) (*.f64 b b))
(/ (* (pow a 2) c) (pow b 2))
(/.f64 (*.f64 c (*.f64 a a)) (*.f64 b b))
(/ (* (pow a 2) c) (pow b 2))
(/.f64 (*.f64 c (*.f64 a a)) (*.f64 b b))
(/ (* (pow a 2) c) (pow b 2))
(/.f64 (*.f64 c (*.f64 a a)) (*.f64 b b))
(/ (* (pow a 2) c) (pow b 2))
(/.f64 (*.f64 c (*.f64 a a)) (*.f64 b b))
(/ (* (pow a 2) c) (pow b 2))
(/.f64 (*.f64 c (*.f64 a a)) (*.f64 b b))
(/ (* (pow a 2) c) (pow b 2))
(/.f64 (*.f64 c (*.f64 a a)) (*.f64 b b))
(/ (* (pow a 2) c) (pow b 2))
(/.f64 (*.f64 c (*.f64 a a)) (*.f64 b b))
(/ (* (pow a 2) c) (pow b 2))
(/.f64 (*.f64 c (*.f64 a a)) (*.f64 b b))
(/ (* (pow a 2) c) (pow b 2))
(/.f64 (*.f64 c (*.f64 a a)) (*.f64 b b))
(/ (* (pow a 2) c) (pow b 2))
(/.f64 (*.f64 c (*.f64 a a)) (*.f64 b b))
(/ (* (pow a 2) c) (pow b 2))
(/.f64 (*.f64 c (*.f64 a a)) (*.f64 b b))
(/ (* (pow a 2) c) (pow b 2))
(/.f64 (*.f64 c (*.f64 a a)) (*.f64 b b))
(/ (* (pow a 2) c) (pow b 2))
(/.f64 (*.f64 c (*.f64 a a)) (*.f64 b b))
(/ (* (pow a 2) c) (pow b 2))
(/.f64 (*.f64 c (*.f64 a a)) (*.f64 b b))
(/ (* (pow a 2) c) (pow b 2))
(/.f64 (*.f64 c (*.f64 a a)) (*.f64 b b))
(/ (* (pow a 2) c) (pow b 2))
(/.f64 (*.f64 c (*.f64 a a)) (*.f64 b b))
(/ (* (pow a 2) c) (pow b 2))
(/.f64 (*.f64 c (*.f64 a a)) (*.f64 b b))
(/ (* (pow a 2) c) (pow b 2))
(/.f64 (*.f64 c (*.f64 a a)) (*.f64 b b))
(/ (* (pow a 2) c) (pow b 2))
(/.f64 (*.f64 c (*.f64 a a)) (*.f64 b b))
(/ (* (pow a 2) c) (pow b 2))
(/.f64 (*.f64 c (*.f64 a a)) (*.f64 b b))
(/ (* (pow a 2) c) (pow b 2))
(/.f64 (*.f64 c (*.f64 a a)) (*.f64 b b))
(/ (* (pow a 2) c) (pow b 2))
(/.f64 (*.f64 c (*.f64 a a)) (*.f64 b b))
(/ (* (pow a 2) c) (pow b 2))
(/.f64 (*.f64 c (*.f64 a a)) (*.f64 b b))
(/ (* (pow a 2) c) (pow b 2))
(/.f64 (*.f64 c (*.f64 a a)) (*.f64 b b))
(/ (* (pow a 2) c) (pow b 2))
(/.f64 (*.f64 c (*.f64 a a)) (*.f64 b b))
(/ (* (pow a 2) c) (pow b 2))
(/.f64 (*.f64 c (*.f64 a a)) (*.f64 b b))
(/ (* (pow a 2) c) (pow b 2))
(/.f64 (*.f64 c (*.f64 a a)) (*.f64 b b))
(/ (* (pow a 2) c) (pow b 2))
(/.f64 (*.f64 c (*.f64 a a)) (*.f64 b b))
(/ (* (pow a 2) c) (pow b 2))
(/.f64 (*.f64 c (*.f64 a a)) (*.f64 b b))
(/ (* (pow a 2) c) (pow b 2))
(/.f64 (*.f64 c (*.f64 a a)) (*.f64 b b))

eval288.0ms (1.9%)

Compiler

Compiled 48612 to 5985 computations (87.7% saved)

prune323.0ms (2.2%)

Pruning

54 alts after pruning (52 fresh and 2 done)

PrunedKeptTotal
New2121262147
Fresh102636
Picked325
Done000
Total2134542188
Accuracy
92.3%
Counts
2188 → 54
Alt Table
Click to see full alt table
StatusAccuracyProgram
19.7%
(/.f64 (/.f64 (*.f64 b (-.f64 (*.f64 a c) (*.f64 b b))) b) (*.f64 a b))
36.8%
(/.f64 (/.f64 a #s(literal -2 binary64)) (/.f64 (*.f64 a a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))
32.0%
(/.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 #s(literal 1 binary64) b))
27.8%
(/.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 (*.f64 b a) c))
36.8%
(/.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 (*.f64 (/.f64 a #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)))))))))
▶24.1%
(/.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 #s(literal -2 binary64) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a c)) (*.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (*.f64 a a) b)))))))
27.8%
(/.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 #s(literal -2 binary64) (neg.f64 (*.f64 a (/.f64 a (+.f64 b (sqrt.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64)))))))))
17.3%
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 b (/.f64 c b))) (*.f64 (/.f64 a b) b)) (*.f64 (/.f64 a b) (/.f64 b (/.f64 c b))))
37.4%
(/.f64 (+.f64 b (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) (/.f64 (/.f64 b (/.f64 c b)) a)))) b)) (*.f64 a #s(literal -2 binary64)))
9.9%
(/.f64 (+.f64 b (*.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64))) b)) #s(literal -1 binary64)))) (*.f64 a #s(literal -2 binary64)))
34.8%
(/.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64)))
37.1%
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))) (*.f64 #s(literal -2 binary64) (*.f64 a a)))
22.0%
(/.f64 (*.f64 (+.f64 b (/.f64 c (/.f64 b (-.f64 #s(literal 0 binary64) a)))) b) (/.f64 b (/.f64 #s(literal -1 binary64) a)))
10.8%
(/.f64 (*.f64 (+.f64 a (-.f64 #s(literal 0 binary64) (/.f64 b (/.f64 c b)))) b) (/.f64 (*.f64 a (*.f64 b b)) c))
32.1%
(/.f64 (*.f64 (*.f64 #s(literal -1 binary64) (/.f64 c a)) a) b)
✓9.0%
(/.f64 c b)
34.9%
(/.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal 2 binary64)) b) (*.f64 b #s(literal -2 binary64))) c))
36.5%
(/.f64 #s(literal 2 binary64) (/.f64 (*.f64 b #s(literal -2 binary64)) c))
36.9%
(/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 b #s(literal -2 binary64)) c) (*.f64 #s(literal 2 binary64) (/.f64 a b))))
27.9%
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 a #s(literal -1/2 binary64)) (/.f64 (-.f64 (/.f64 b a) (/.f64 c b)) c)))
9.0%
(/.f64 #s(literal 1 binary64) (/.f64 b c))
✓51.6%
(/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))
34.8%
(/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64))))))
28.3%
(/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 b (/.f64 c (/.f64 #s(literal 1/2 binary64) a))) a))
▶51.6%
(/.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))
32.0%
(/.f64 #s(literal -1 binary64) (/.f64 a b))
32.2%
(-.f64 (/.f64 c b) (/.f64 b a))
31.1%
(-.f64 (*.f64 c (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (/.f64 (/.f64 (*.f64 a c) b) b) b))) (/.f64 b a))
36.9%
(-.f64 #s(literal 0 binary64) (/.f64 c b))
15.2%
(-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 a b)) #s(literal -1 binary64))))
22.5%
(*.f64 (/.f64 (-.f64 (*.f64 a c) (*.f64 b b)) a) (/.f64 #s(literal 1 binary64) b))
26.6%
(*.f64 (/.f64 c (/.f64 #s(literal 1/2 binary64) a)) (/.f64 #s(literal -1/2 binary64) (*.f64 a b)))
28.3%
(*.f64 (/.f64 a b) (*.f64 #s(literal -1 binary64) (/.f64 c a)))
36.6%
(*.f64 (/.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 a)))
36.8%
(*.f64 (/.f64 #s(literal 2 binary64) b) (*.f64 #s(literal 1 binary64) (/.f64 c #s(literal -2 binary64))))
38.6%
(*.f64 (/.f64 #s(literal 1 binary64) (+.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 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (/.f64 a #s(literal 1/2 binary64))))))
9.0%
(*.f64 (/.f64 #s(literal 1 binary64) b) c)
26.5%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (+.f64 b (*.f64 (*.f64 c #s(literal -2 binary64)) (+.f64 (/.f64 a b) (/.f64 (*.f64 a (*.f64 a c)) (*.f64 b (*.f64 b b))))))))
34.8%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))))
▶27.9%
(*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 c (/.f64 a b)))
32.0%
(*.f64 (/.f64 #s(literal -1 binary64) a) b)
30.9%
(*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (*.f64 c #s(literal 2 binary64)) b)) a)
30.8%
(*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (*.f64 a c)) (/.f64 #s(literal 2 binary64) b))
29.3%
(*.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 a (/.f64 #s(literal -1/2 binary64) (*.f64 a b))))
26.8%
(*.f64 (*.f64 a c) (*.f64 (/.f64 #s(literal 2 binary64) b) (/.f64 #s(literal -1/2 binary64) a)))
25.6%
(*.f64 c (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 b (*.f64 a c))))
▶30.7%
(*.f64 b (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 a c) b) b)) a))
9.0%
(*.f64 b (/.f64 c (*.f64 b b)))
26.8%
(*.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a b) (+.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 a (/.f64 b c))))))
30.3%
(*.f64 b (+.f64 (/.f64 c (pow.f64 (exp.f64 (log.f64 b)) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) a)))
30.3%
(*.f64 b (+.f64 (/.f64 c (exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 b)))) (/.f64 #s(literal -1 binary64) a)))
30.8%
(*.f64 a (/.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 b c)))
26.7%
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a c) (*.f64 a b)))
▶32.1%
(neg.f64 (/.f64 b a))
Compiler

Compiled 1755 to 1159 computations (34% saved)

simplify147.0ms (1%)

Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff128
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a c)) (*.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (*.f64 a a) b)))
✓cost-diff128
(/.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 #s(literal -2 binary64) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a c)) (*.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (*.f64 a a) b)))))))
✓cost-diff256
(*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a c)) (*.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (*.f64 a a) b))))
✓cost-diff256
(*.f64 #s(literal -2 binary64) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a c)) (*.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (*.f64 a a) b))))))
✓cost-diff0
(/.f64 (/.f64 (*.f64 a c) b) b)
✓cost-diff0
(+.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 a c) b) b))
✓cost-diff0
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 a c) b) b)) a)
✓cost-diff384
(*.f64 b (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 a c) b) b)) a))
✓cost-diff0
(/.f64 a b)
✓cost-diff0
(*.f64 c (/.f64 a b))
✓cost-diff0
(/.f64 #s(literal -1 binary64) a)
✓cost-diff256
(*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 c (/.f64 a b)))
✓cost-diff-64
(neg.f64 (/.f64 b a))
✓cost-diff0
(/.f64 b a)
✓cost-diff0
(+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (+.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 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))) a))
✓cost-diff128
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))) a)
Rules
2872×*-lowering-*.f32
2872×*-lowering-*.f64
1504×/-lowering-/.f32
1504×/-lowering-/.f64
764×fma-lowering-fma.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
044290
1117275
2386264
31878238
08220238
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ -1/2 (* (/ 1 (+ b (sqrt (+ (* b b) (* a (* c -4)))))) a))
-1/2
(* (/ 1 (+ b (sqrt (+ (* b b) (* a (* c -4)))))) a)
(/ 1 (+ b (sqrt (+ (* b b) (* a (* c -4))))))
1
(+ 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
(neg (/ b a))
(/ b a)
b
a
(* (/ -1 a) (* c (/ a b)))
(/ -1 a)
-1
a
(* c (/ a b))
c
(/ a b)
b
(* b (/ (+ -1 (/ (/ (* a c) b) b)) a))
b
(/ (+ -1 (/ (/ (* a c) b) b)) a)
(+ -1 (/ (/ (* a c) b) b))
-1
(/ (/ (* a c) b) b)
(/ (* a c) b)
(* a c)
a
c
(/ (- 0 a) (* -2 (neg (* (- 0 b) (+ (* -1/2 (/ a c)) (* (/ 1/2 b) (/ (* a a) b)))))))
(- 0 a)
0
a
(* -2 (neg (* (- 0 b) (+ (* -1/2 (/ a c)) (* (/ 1/2 b) (/ (* a a) b))))))
-2
(neg (* (- 0 b) (+ (* -1/2 (/ a c)) (* (/ 1/2 b) (/ (* a a) b)))))
(* (- 0 b) (+ (* -1/2 (/ a c)) (* (/ 1/2 b) (/ (* a a) b))))
(- 0 b)
b
(+ (* -1/2 (/ a c)) (* (/ 1/2 b) (/ (* a a) b)))
(* -1/2 (/ a c))
-1/2
(/ a c)
c
(* (/ 1/2 b) (/ (* a a) b))
(/ 1/2 b)
1/2
(/ (* a a) b)
(* a a)
Outputs
(/ -1/2 (* (/ 1 (+ b (sqrt (+ (* b b) (* a (* c -4)))))) a))
(*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) (/.f64 #s(literal -1/2 binary64) a))
-1/2
#s(literal -1/2 binary64)
(* (/ 1 (+ b (sqrt (+ (* b b) (* a (* c -4)))))) a)
(/.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))))
(/ 1 (+ b (sqrt (+ (* b b) (* a (* c -4))))))
(/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))))
1
#s(literal 1 binary64)
(+ b (sqrt (+ (* b b) (* a (* c -4)))))
(+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))
b
(sqrt (+ (* b b) (* a (* c -4))))
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))
(+ (* b b) (* a (* c -4)))
(+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))
(* b b)
(*.f64 b b)
(* a (* c -4))
(*.f64 #s(literal -4 binary64) (*.f64 a c))
a
(* c -4)
(*.f64 c #s(literal -4 binary64))
c
-4
#s(literal -4 binary64)
(neg (/ b a))
(/.f64 b (-.f64 #s(literal 0 binary64) a))
(/ b a)
(/.f64 b a)
b
a
(* (/ -1 a) (* c (/ a b)))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(/ -1 a)
(/.f64 #s(literal -1 binary64) a)
-1
#s(literal -1 binary64)
a
(* c (/ a b))
(/.f64 (*.f64 a c) b)
c
(/ a b)
(/.f64 a b)
b
(* b (/ (+ -1 (/ (/ (* a c) b) b)) a))
(-.f64 (/.f64 c b) (/.f64 b a))
b
(/ (+ -1 (/ (/ (* a c) b) b)) a)
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 c (/.f64 (/.f64 a b) b))) a)
(+ -1 (/ (/ (* a c) b) b))
(+.f64 #s(literal -1 binary64) (*.f64 c (/.f64 (/.f64 a b) b)))
-1
#s(literal -1 binary64)
(/ (/ (* a c) b) b)
(*.f64 c (/.f64 (/.f64 a b) b))
(/ (* a c) b)
(/.f64 (*.f64 a c) b)
(* a c)
(*.f64 a c)
a
c
(/ (- 0 a) (* -2 (neg (* (- 0 b) (+ (* -1/2 (/ a c)) (* (/ 1/2 b) (/ (* a a) b)))))))
(/.f64 a (-.f64 (/.f64 (*.f64 a a) b) (/.f64 (*.f64 b a) c)))
(- 0 a)
(-.f64 #s(literal 0 binary64) a)
0
#s(literal 0 binary64)
a
(* -2 (neg (* (- 0 b) (+ (* -1/2 (/ a c)) (* (/ 1/2 b) (/ (* a a) b))))))
(-.f64 (/.f64 (*.f64 b a) c) (/.f64 (*.f64 a a) b))
-2
#s(literal -2 binary64)
(neg (* (- 0 b) (+ (* -1/2 (/ a c)) (* (/ 1/2 b) (/ (* a a) b)))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (*.f64 a a) b) (/.f64 (*.f64 b a) c)))
(* (- 0 b) (+ (* -1/2 (/ a c)) (* (/ 1/2 b) (/ (* a a) b))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (*.f64 b a) c) (/.f64 (*.f64 a a) b)))
(- 0 b)
(-.f64 #s(literal 0 binary64) b)
b
(+ (* -1/2 (/ a c)) (* (/ 1/2 b) (/ (* a a) b)))
(*.f64 a (+.f64 (/.f64 #s(literal -1/2 binary64) c) (/.f64 (/.f64 a #s(literal 2 binary64)) (*.f64 b b))))
(* -1/2 (/ a c))
(/.f64 (/.f64 a #s(literal -2 binary64)) c)
-1/2
#s(literal -1/2 binary64)
(/ a c)
(/.f64 a c)
c
(* (/ 1/2 b) (/ (* a a) b))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a a) b)) b)
(/ 1/2 b)
(/.f64 #s(literal 1/2 binary64) b)
1/2
#s(literal 1/2 binary64)
(/ (* a a) b)
(/.f64 (*.f64 a a) b)
(* a a)
(*.f64 a a)

localize380.0ms (2.5%)

Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy93.5%
(*.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (*.f64 a a) b))
✓accuracy89.3%
(/.f64 (*.f64 a a) b)
✓accuracy87.1%
(*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a c)) (*.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (*.f64 a a) b))))
✓accuracy82.6%
(/.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 #s(literal -2 binary64) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a c)) (*.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (*.f64 a a) b)))))))
✓accuracy97.9%
(/.f64 (/.f64 (*.f64 a c) b) b)
✓accuracy94.1%
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 a c) b) b)) a)
✓accuracy92.9%
(*.f64 b (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 a c) b) b)) a))
✓accuracy92.4%
(/.f64 (*.f64 a c) b)
✓accuracy100.0%
(/.f64 a b)
✓accuracy100.0%
(/.f64 #s(literal -1 binary64) a)
✓accuracy90.9%
(*.f64 c (/.f64 a b))
✓accuracy84.7%
(*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 c (/.f64 a b)))
✓accuracy100.0%
(/.f64 b a)
✓accuracy100.0%
(neg.f64 (/.f64 b a))
✓accuracy98.7%
(+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))
✓accuracy94.6%
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))) a)
✓accuracy76.8%
(+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))
✓accuracy62.2%
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))
Results
111.0ms52×2valid
99.0ms168×0valid
79.0ms33×1valid
24.0ms3×3valid
Compiler

Compiled 328 to 45 computations (86.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 102.0ms
ival-div: 33.0ms (32.4% of total)
ival-mult: 33.0ms (32.4% of total)
backward-pass: 13.0ms (12.8% of total)
ival-add: 8.0ms (7.9% of total)
ival-neg: 5.0ms (4.9% of total)
ival-sub: 4.0ms (3.9% of total)
ival-sqrt: 4.0ms (3.9% of total)
const: 2.0ms (2% of total)

series65.0ms (0.4%)

Counts
23 → 744
Calls
Call 1
Inputs
#<alt (* (/ 1 (+ b (sqrt (+ (* b b) (* a (* c -4)))))) a)>
#<alt (/ -1/2 (* (/ 1 (+ b (sqrt (+ (* b b) (* a (* c -4)))))) a))>
#<alt (/ 1 (+ b (sqrt (+ (* b b) (* a (* c -4))))))>
#<alt (+ b (sqrt (+ (* b b) (* a (* c -4)))))>
#<alt (/ b a)>
#<alt (neg (/ b a))>
#<alt (* (/ -1 a) (* c (/ a b)))>
#<alt (/ -1 a)>
#<alt (* c (/ a b))>
#<alt (/ a b)>
#<alt (* b (/ (+ -1 (/ (/ (* a c) b) b)) a))>
#<alt (/ (+ -1 (/ (/ (* a c) b) b)) a)>
#<alt (+ -1 (/ (/ (* a c) b) b))>
#<alt (/ (/ (* a c) b) b)>
#<alt (* -2 (neg (* (- 0 b) (+ (* -1/2 (/ a c)) (* (/ 1/2 b) (/ (* a a) b))))))>
#<alt (* (- 0 b) (+ (* -1/2 (/ a c)) (* (/ 1/2 b) (/ (* a a) b))))>
#<alt (/ (- 0 a) (* -2 (neg (* (- 0 b) (+ (* -1/2 (/ a c)) (* (/ 1/2 b) (/ (* a a) b)))))))>
#<alt (+ (* -1/2 (/ a c)) (* (/ 1/2 b) (/ (* a a) b)))>
#<alt (sqrt (+ (* b b) (* a (* c -4))))>
#<alt (+ (* b b) (* a (* c -4)))>
#<alt (/ (* a c) b)>
#<alt (/ (* a a) b)>
#<alt (* (/ 1/2 b) (/ (* a a) b))>
Outputs
#<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 (* 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 (* 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 (* -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 (/ 1 (* a c))) (/ 1 (sqrt -4)))>
#<alt (+ (* -1 (/ b (* a (* c (pow (sqrt -4) 2))))) (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))>
#<alt (+ (* b (- (* -1 (* b (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))))) (/ 1 (* a (* c (pow (sqrt -4) 2)))))) (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))>
#<alt (+ (* b (- (* b (- (* b (- (* 1/2 (/ 1 (* (pow a 2) (* (pow c 2) (pow (sqrt -4) 4))))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4)))))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))))) (/ 1 (* a (* c (pow (sqrt -4) 2)))))) (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))>
#<alt (/ 1/2 b)>
#<alt (/ (+ 1/2 (* 1/2 (/ (* a c) (pow b 2)))) b)>
#<alt (/ (- (+ 1/2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -1/2 (/ (* a c) (pow b 2)))) b)>
#<alt (/ (- (+ 1/2 (* -1 (/ (+ (* -2 (* (pow a 3) (pow c 3))) (* -1/2 (* (pow a 3) (pow c 3)))) (pow b 6)))) (+ (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -1/2 (/ (* a c) (pow b 2))))) b)>
#<alt (* 1/2 (/ b (* a c)))>
#<alt (* -1 (* b (- (* 1/2 (/ 1 (pow b 2))) (* 1/2 (/ 1 (* a c))))))>
#<alt (* -1 (* b (- (+ (* -1 (/ (+ (* -1 (* a c)) (* 1/2 (* a c))) (pow b 4))) (* 1/2 (/ 1 (pow b 2)))) (* 1/2 (/ 1 (* a c))))))>
#<alt (* -1 (* b (- (+ (* -1 (/ (+ (* -1 (* a (* c (+ (* -1 (* a c)) (* 1/2 (* a c)))))) (+ (* -1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) (pow c 2)))) (* (pow a 2) (pow c 2)))) (pow b 6))) (* 1/2 (/ 1 (pow b 2)))) (+ (* -1 (/ (* a c) (pow b 4))) (+ (* 1/2 (/ (* a c) (pow b 4))) (* 1/2 (/ 1 (* a c))))))))>
#<alt (/ 1/2 b)>
#<alt (+ (* 1/2 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))>
#<alt (+ (* a (- (/ (* a (pow c 2)) (pow b 5)) (* -1/2 (/ c (pow b 3))))) (* 1/2 (/ 1 b)))>
#<alt (+ (* 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 (/ 1 (* a c))) (/ 1 (sqrt -4)))>
#<alt (/ (+ (* -1 (/ b (* c (pow (sqrt -4) 2)))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) a)>
#<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)))) a)>
#<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)))))) a)>
#<alt (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))>
#<alt (* -1 (/ (+ (* -1/4 (/ b c)) (* 1/2 (* (sqrt (/ a c)) (sqrt -1)))) a))>
#<alt (* -1 (/ (+ (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1))))) (* -1/4 (/ (* a b) c))) a)) (* 1/2 (* (sqrt (/ a c)) (sqrt -1)))) a))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1))))))))) (* -1/32 (/ (* a (pow b 3)) (pow c 2)))) (+ (* -1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))))) a)) (* -1/4 (/ (* a b) c))) a)) (* 1/2 (* (sqrt (/ a c)) (sqrt -1)))) a))>
#<alt (/ 1/2 b)>
#<alt (+ (* 1/2 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))>
#<alt (+ (* c (- (/ (* (pow a 2) c) (pow b 5)) (* -1/2 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))>
#<alt (+ (* c (- (* c (- (* -1 (* c (+ (* -2 (/ (pow a 3) (pow b 7))) (* -1/2 (/ (pow a 3) (pow b 7)))))) (* -1 (/ (pow a 2) (pow b 5))))) (* -1/2 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))>
#<alt (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))>
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#<alt (* (pow a 2) (- (* 1/2 (/ b (* a c))) (* 1/2 (/ 1 b))))>
#<alt (* -1/2 (/ (pow a 2) b))>
#<alt (* (pow a 2) (- (* 1/2 (/ b (* a c))) (* 1/2 (/ 1 b))))>
#<alt (* (pow a 2) (- (* 1/2 (/ b (* a c))) (* 1/2 (/ 1 b))))>
#<alt (* (pow a 2) (- (* 1/2 (/ b (* a c))) (* 1/2 (/ 1 b))))>
#<alt (* 1/2 (/ (* a b) c))>
#<alt (/ (+ (* -1/2 (/ (* (pow a 2) c) b)) (* 1/2 (* a b))) c)>
#<alt (/ (+ (* -1/2 (/ (* (pow a 2) c) b)) (* 1/2 (* a b))) c)>
#<alt (/ (+ (* -1/2 (/ (* (pow a 2) c) b)) (* 1/2 (* a b))) c)>
#<alt (* -1/2 (/ (pow a 2) b))>
#<alt (+ (* -1/2 (/ (pow a 2) b)) (* 1/2 (/ (* a b) c)))>
#<alt (+ (* -1/2 (/ (pow a 2) b)) (* 1/2 (/ (* a b) c)))>
#<alt (+ (* -1/2 (/ (pow a 2) b)) (* 1/2 (/ (* a b) c)))>
#<alt (* -1/2 (/ (pow a 2) b))>
#<alt (+ (* -1/2 (/ (pow a 2) b)) (* 1/2 (/ (* a b) c)))>
#<alt (+ (* -1/2 (/ (pow a 2) b)) (* 1/2 (/ (* a b) c)))>
#<alt (+ (* -1/2 (/ (pow a 2) b)) (* 1/2 (/ (* a b) c)))>
#<alt (* -1 (/ c b))>
#<alt (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))>
#<alt (+ (* -1 (/ c b)) (* a (+ (* -1 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))>
#<alt (+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -1 (/ (* a (pow c 4)) (pow b 7))) (* -1 (/ (pow c 3) (pow b 5))))))))>
#<alt (/ b a)>
#<alt (/ (+ b (/ (pow b 3) (* a c))) a)>
#<alt (/ (- (+ b (/ (pow b 5) (* (pow a 2) (pow c 2)))) (* -1 (/ (pow b 3) (* a c)))) a)>
#<alt (/ (- (+ b (/ (pow b 7) (* (pow a 3) (pow c 3)))) (+ (* -1 (/ (pow b 3) (* a c))) (* -1 (/ (pow b 5) (* (pow a 2) (pow c 2)))))) a)>
#<alt (/ b a)>
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (pow b 3) (* a c)))) a))>
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (- (/ (pow b 5) (* a (pow c 2))) (* -1 (/ (pow b 3) c))) a))) a))>
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow b 7) (* a (pow c 3)))) (/ (pow b 5) (pow c 2))) a)) (* -1 (/ (pow b 3) c))) a))) a))>
#<alt (/ b a)>
#<alt (* b (+ (/ 1 a) (/ (pow b 2) (* (pow a 2) c))))>
#<alt (* b (+ (* (pow b 2) (+ (/ 1 (* (pow a 2) c)) (/ (pow b 2) (* (pow a 3) (pow c 2))))) (/ 1 a)))>
#<alt (* b (+ (* (pow b 2) (+ (* (pow b 2) (+ (/ 1 (* (pow a 3) (pow c 2))) (/ (pow b 2) (* (pow a 4) (pow c 3))))) (/ 1 (* (pow a 2) c)))) (/ 1 a)))>
#<alt (* -1 (/ c b))>
#<alt (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)>
#<alt (/ (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1 (/ (* (pow a 2) (pow c 3)) (pow b 4))))) b)>
#<alt (/ (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (+ (* -1 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (* -1 (/ (* (pow a 3) (pow c 4)) (pow b 6)))))) b)>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))>
#<alt (* -1 (/ (+ c (+ (/ (* a (pow c 2)) (pow b 2)) (/ (* (pow a 2) (pow c 3)) (pow b 4)))) b))>
#<alt (* -1 (/ (+ c (+ (/ (* a (pow c 2)) (pow b 2)) (+ (/ (* (pow a 2) (pow c 3)) (pow b 4)) (/ (* (pow a 3) (pow c 4)) (pow b 6))))) b))>
#<alt (* -1 (/ c b))>
#<alt (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))>
#<alt (* c (- (* c (+ (* -1 (/ a (pow b 3))) (* -1 (/ (* (pow a 2) c) (pow b 5))))) (/ 1 b)))>
#<alt (* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -1 (/ (* (pow a 3) c) (pow b 7))) (* -1 (/ (pow a 2) (pow b 5))))))) (/ 1 b)))>
#<alt (/ b a)>
#<alt (+ (/ b a) (/ (pow b 3) (* (pow a 2) c)))>
#<alt (+ (/ b a) (+ (/ (pow b 3) (* (pow a 2) c)) (/ (pow b 5) (* (pow a 3) (pow c 2)))))>
#<alt (+ (/ b a) (+ (/ (pow b 3) (* (pow a 2) c)) (+ (/ (pow b 5) (* (pow a 3) (pow c 2))) (/ (pow b 7) (* (pow a 4) (pow c 3))))))>
#<alt (/ b a)>
#<alt (+ (/ b a) (/ (pow b 3) (* (pow a 2) c)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (pow b 3) (pow a 2))) (* -1 (/ (pow b 5) (* (pow a 3) c)))) c)) (/ b a))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (/ (pow b 5) (pow a 3)) (/ (pow b 7) (* (pow a 4) c))) c)) (* -1 (/ (pow b 3) (pow a 2)))) c)) (/ b a))>
#<alt (* -1/2 (/ a c))>
#<alt (* a (- (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c))))>
#<alt (* a (- (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c))))>
#<alt (* a (- (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c))))>
#<alt (* 1/2 (/ (pow a 2) (pow b 2)))>
#<alt (* (pow a 2) (- (* 1/2 (/ 1 (pow b 2))) (* 1/2 (/ 1 (* a c)))))>
#<alt (* (pow a 2) (- (* 1/2 (/ 1 (pow b 2))) (* 1/2 (/ 1 (* a c)))))>
#<alt (* (pow a 2) (- (* 1/2 (/ 1 (pow b 2))) (* 1/2 (/ 1 (* a c)))))>
#<alt (* 1/2 (/ (pow a 2) (pow b 2)))>
#<alt (* (pow a 2) (- (* 1/2 (/ 1 (pow b 2))) (* 1/2 (/ 1 (* a c)))))>
#<alt (* (pow a 2) (- (* 1/2 (/ 1 (pow b 2))) (* 1/2 (/ 1 (* a c)))))>
#<alt (* (pow a 2) (- (* 1/2 (/ 1 (pow b 2))) (* 1/2 (/ 1 (* a c)))))>
#<alt (* -1/2 (/ a c))>
#<alt (/ (+ (* -1/2 a) (* 1/2 (/ (* (pow a 2) c) (pow b 2)))) c)>
#<alt (/ (+ (* -1/2 a) (* 1/2 (/ (* (pow a 2) c) (pow b 2)))) c)>
#<alt (/ (+ (* -1/2 a) (* 1/2 (/ (* (pow a 2) c) (pow b 2)))) c)>
#<alt (* 1/2 (/ (pow a 2) (pow b 2)))>
#<alt (+ (* -1/2 (/ a c)) (* 1/2 (/ (pow a 2) (pow b 2))))>
#<alt (+ (* -1/2 (/ a c)) (* 1/2 (/ (pow a 2) (pow b 2))))>
#<alt (+ (* -1/2 (/ a c)) (* 1/2 (/ (pow a 2) (pow b 2))))>
#<alt (* 1/2 (/ (pow a 2) (pow b 2)))>
#<alt (+ (* -1/2 (/ a c)) (* 1/2 (/ (pow a 2) (pow b 2))))>
#<alt (+ (* -1/2 (/ a c)) (* 1/2 (/ (pow a 2) (pow b 2))))>
#<alt (+ (* -1/2 (/ a c)) (* 1/2 (/ (pow a 2) (pow b 2))))>
#<alt (* 1/2 (/ (pow a 2) (pow b 2)))>
#<alt (/ (+ (* -1/2 (/ (* a (pow b 2)) c)) (* 1/2 (pow a 2))) (pow b 2))>
#<alt (/ (+ (* -1/2 (/ (* a (pow b 2)) c)) (* 1/2 (pow a 2))) (pow b 2))>
#<alt (/ (+ (* -1/2 (/ (* a (pow b 2)) c)) (* 1/2 (pow a 2))) (pow b 2))>
#<alt (* -1/2 (/ a c))>
#<alt (+ (* -1/2 (/ a c)) (* 1/2 (/ (pow a 2) (pow b 2))))>
#<alt (+ (* -1/2 (/ a c)) (* 1/2 (/ (pow a 2) (pow b 2))))>
#<alt (+ (* -1/2 (/ a c)) (* 1/2 (/ (pow a 2) (pow b 2))))>
#<alt (* -1/2 (/ a c))>
#<alt (+ (* -1/2 (/ a c)) (* 1/2 (/ (pow a 2) (pow b 2))))>
#<alt (+ (* -1/2 (/ a c)) (* 1/2 (/ (pow a 2) (pow b 2))))>
#<alt (+ (* -1/2 (/ a c)) (* 1/2 (/ (pow a 2) (pow b 2))))>
#<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))))>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (pow a 2) b)>
#<alt (/ (pow a 2) b)>
#<alt (/ (pow a 2) b)>
#<alt (/ (pow a 2) b)>
#<alt (/ (pow a 2) b)>
#<alt (/ (pow a 2) b)>
#<alt (/ (pow a 2) b)>
#<alt (/ (pow a 2) b)>
#<alt (/ (pow a 2) b)>
#<alt (/ (pow a 2) b)>
#<alt (/ (pow a 2) b)>
#<alt (/ (pow a 2) b)>
#<alt (/ (pow a 2) b)>
#<alt (/ (pow a 2) b)>
#<alt (/ (pow a 2) b)>
#<alt (/ (pow a 2) b)>
#<alt (/ (pow a 2) b)>
#<alt (/ (pow a 2) b)>
#<alt (/ (pow a 2) b)>
#<alt (/ (pow a 2) b)>
#<alt (/ (pow a 2) b)>
#<alt (/ (pow a 2) b)>
#<alt (/ (pow a 2) b)>
#<alt (/ (pow a 2) b)>
#<alt (* 1/2 (/ (pow a 2) (pow b 2)))>
#<alt (* 1/2 (/ (pow a 2) (pow b 2)))>
#<alt (* 1/2 (/ (pow a 2) (pow b 2)))>
#<alt (* 1/2 (/ (pow a 2) (pow b 2)))>
#<alt (* 1/2 (/ (pow a 2) (pow b 2)))>
#<alt (* 1/2 (/ (pow a 2) (pow b 2)))>
#<alt (* 1/2 (/ (pow a 2) (pow b 2)))>
#<alt (* 1/2 (/ (pow a 2) (pow b 2)))>
#<alt (* 1/2 (/ (pow a 2) (pow b 2)))>
#<alt (* 1/2 (/ (pow a 2) (pow b 2)))>
#<alt (* 1/2 (/ (pow a 2) (pow b 2)))>
#<alt (* 1/2 (/ (pow a 2) (pow b 2)))>
#<alt (* 1/2 (/ (pow a 2) (pow b 2)))>
#<alt (* 1/2 (/ (pow a 2) (pow b 2)))>
#<alt (* 1/2 (/ (pow a 2) (pow b 2)))>
#<alt (* 1/2 (/ (pow a 2) (pow b 2)))>
#<alt (* 1/2 (/ (pow a 2) (pow b 2)))>
#<alt (* 1/2 (/ (pow a 2) (pow b 2)))>
#<alt (* 1/2 (/ (pow a 2) (pow b 2)))>
#<alt (* 1/2 (/ (pow a 2) (pow b 2)))>
#<alt (* 1/2 (/ (pow a 2) (pow b 2)))>
#<alt (* 1/2 (/ (pow a 2) (pow b 2)))>
#<alt (* 1/2 (/ (pow a 2) (pow b 2)))>
#<alt (* 1/2 (/ (pow a 2) (pow b 2)))>
Calls

186 calls:

TimeVariablePointExpression
13.0ms
b
@0
(/ 1 (+ b (sqrt (+ (* b b) (* a (* c -4))))))
4.0ms
b
@0
(* -2 (neg (* (- 0 b) (+ (* -1/2 (/ a c)) (* (/ 1/2 b) (/ (* a a) b))))))
2.0ms
b
@0
(* (- 0 b) (+ (* -1/2 (/ a c)) (* (/ 1/2 b) (/ (* a a) b))))
2.0ms
a
@-inf
(/ (+ -1 (/ (/ (* a c) b) b)) a)
1.0ms
a
@0
(* -2 (neg (* (- 0 b) (+ (* -1/2 (/ a c)) (* (/ 1/2 b) (/ (* a a) b))))))

rewrite292.0ms (1.9%)

Algorithm
1×batch-egg-rewrite
Rules
5244×*-lowering-*.f32
5244×*-lowering-*.f64
2658×/-lowering-/.f32
2658×/-lowering-/.f64
1228×frac-times
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
044215
1194201
21124197
08500197
Stop Event
1×iter limit
1×node limit
Counts
23 → 1112
Calls
Call 1
Inputs
(* (/ 1 (+ b (sqrt (+ (* b b) (* a (* c -4)))))) a)
(/ -1/2 (* (/ 1 (+ b (sqrt (+ (* b b) (* a (* c -4)))))) a))
(/ 1 (+ b (sqrt (+ (* b b) (* a (* c -4))))))
(+ b (sqrt (+ (* b b) (* a (* c -4)))))
(/ b a)
(neg (/ b a))
(* (/ -1 a) (* c (/ a b)))
(/ -1 a)
(* c (/ a b))
(/ a b)
(* b (/ (+ -1 (/ (/ (* a c) b) b)) a))
(/ (+ -1 (/ (/ (* a c) b) b)) a)
(+ -1 (/ (/ (* a c) b) b))
(/ (/ (* a c) b) b)
(* -2 (neg (* (- 0 b) (+ (* -1/2 (/ a c)) (* (/ 1/2 b) (/ (* a a) b))))))
(* (- 0 b) (+ (* -1/2 (/ a c)) (* (/ 1/2 b) (/ (* a a) b))))
(/ (- 0 a) (* -2 (neg (* (- 0 b) (+ (* -1/2 (/ a c)) (* (/ 1/2 b) (/ (* a a) b)))))))
(+ (* -1/2 (/ a c)) (* (/ 1/2 b) (/ (* a a) b)))
(sqrt (+ (* b b) (* a (* c -4))))
(+ (* b b) (* a (* c -4)))
(/ (* a c) b)
(/ (* a a) b)
(* (/ 1/2 b) (/ (* a a) b))
Outputs
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))) #s(literal 0 binary64)) (/.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))))
(+.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.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 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))) (-.f64 #s(literal 0 binary64) (/.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))) (-.f64 #s(literal 0 binary64) (/.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))))))
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(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (/.f64 b a) a) b))
(/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 b a) a))))
(/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 b a) a)) (-.f64 #s(literal 0 binary64) b)))
(/.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (/.f64 b a) a))
(/.f64 (*.f64 a a) (*.f64 b (*.f64 #s(literal 2 binary64) b)))
(/.f64 (*.f64 a a) (/.f64 b (/.f64 #s(literal 1/2 binary64) b)))
(/.f64 (*.f64 a a) (*.f64 (/.f64 b #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) b)))
(/.f64 (/.f64 a (/.f64 b a)) (/.f64 b #s(literal 1/2 binary64)))
(/.f64 (*.f64 a (/.f64 a #s(literal 2 binary64))) (*.f64 b b))
(/.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 (/.f64 b a) (/.f64 b #s(literal -1/2 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 (/.f64 b #s(literal -1/2 binary64)) (/.f64 b a)))
(/.f64 (*.f64 a (-.f64 #s(literal 0 binary64) a)) (*.f64 b (*.f64 #s(literal -2 binary64) b)))
(/.f64 (*.f64 a (-.f64 #s(literal 0 binary64) a)) (neg.f64 (/.f64 b (/.f64 #s(literal 1/2 binary64) b))))
(/.f64 (*.f64 a (-.f64 #s(literal 0 binary64) a)) (*.f64 (/.f64 b #s(literal -1/2 binary64)) b))
(/.f64 (/.f64 a #s(literal -2 binary64)) (*.f64 (/.f64 b a) (-.f64 #s(literal 0 binary64) b)))
(/.f64 (/.f64 a #s(literal -2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 b a)))
(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 b a) a)) b)
(/.f64 (/.f64 a #s(literal 2 binary64)) (*.f64 (/.f64 b a) b))
(/.f64 (/.f64 a #s(literal 2 binary64)) (*.f64 b (/.f64 b a)))
(/.f64 (*.f64 a (/.f64 a #s(literal -2 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 b b)))
(/.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 b a) a)) (-.f64 #s(literal 0 binary64) b))
(/.f64 (/.f64 (*.f64 a (-.f64 #s(literal 0 binary64) a)) b) (/.f64 b #s(literal -1/2 binary64)))
(/.f64 (/.f64 #s(literal -1/2 binary64) b) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 b a) a)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 a b)) (/.f64 b a))
(/.f64 (*.f64 (*.f64 a a) #s(literal -1 binary64)) (*.f64 b (*.f64 #s(literal -2 binary64) b)))
(/.f64 (*.f64 (*.f64 a a) #s(literal -1 binary64)) (*.f64 b (/.f64 b #s(literal -1/2 binary64))))
(/.f64 (*.f64 (*.f64 a (-.f64 #s(literal 0 binary64) a)) #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 b #s(literal -1/2 binary64))))
(/.f64 (*.f64 (*.f64 a (/.f64 a #s(literal 2 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 b b)))
(/.f64 (*.f64 (*.f64 a (/.f64 a #s(literal -2 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 b b)))
(/.f64 (*.f64 (*.f64 a (/.f64 a #s(literal -2 binary64))) #s(literal -1 binary64)) (*.f64 b b))
(pow.f64 (/.f64 (*.f64 b b) (*.f64 a (/.f64 a #s(literal 2 binary64)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (/.f64 (/.f64 b a) a))))
(*.f64 a (/.f64 a (/.f64 b (/.f64 #s(literal 1/2 binary64) b))))
(*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 a (/.f64 b a)) (-.f64 #s(literal 0 binary64) b)))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 b (/.f64 (/.f64 b a) a)))))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 (/.f64 b a) a) b))))
(*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 a (/.f64 b a))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 b (/.f64 (/.f64 b a) a))))
(*.f64 (/.f64 a b) (/.f64 (/.f64 a #s(literal 2 binary64)) b))
(*.f64 (/.f64 a b) (/.f64 (/.f64 a b) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b (/.f64 b a))))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 b a) a) b)))
(*.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 a (/.f64 b a)))
(*.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) (*.f64 a a))))
(*.f64 (*.f64 a a) (/.f64 #s(literal 1/2 binary64) (*.f64 b b)))
(*.f64 (*.f64 a a) (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 #s(literal 2 binary64) b))))
(*.f64 (*.f64 a a) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b b))))
(*.f64 (/.f64 a (/.f64 b a)) (/.f64 #s(literal 1/2 binary64) b))
(*.f64 (/.f64 a (/.f64 b a)) (/.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 2 binary64)))
(*.f64 (*.f64 a (/.f64 a #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 b b)))
(*.f64 (*.f64 a (-.f64 #s(literal 0 binary64) a)) (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 #s(literal -2 binary64) b))))
(*.f64 (*.f64 a (-.f64 #s(literal 0 binary64) a)) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 b (/.f64 #s(literal 1/2 binary64) b)))))
(*.f64 (*.f64 a (-.f64 #s(literal 0 binary64) a)) (*.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 #s(literal 1/2 binary64) b)))
(*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 b a) a)))
(*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal 1 binary64) (*.f64 a a))))
(*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (/.f64 a (/.f64 b a)) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 b a) a)) (/.f64 #s(literal 1 binary64) b))
(*.f64 (/.f64 a #s(literal 2 binary64)) (/.f64 a (*.f64 b b)))
(*.f64 (*.f64 a (/.f64 a #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b b))))
(*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 b a) a)) (/.f64 #s(literal -1 binary64) b))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (/.f64 (*.f64 a a) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a a))))
(*.f64 (/.f64 (*.f64 a (-.f64 #s(literal 0 binary64) a)) b) (/.f64 (/.f64 #s(literal -1 binary64) b) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 #s(literal 1 binary64) (*.f64 a a))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 a b)) (/.f64 a b))
(*.f64 (/.f64 a (*.f64 b (/.f64 b a))) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (*.f64 a a))
(*.f64 (/.f64 (/.f64 a #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 a b) (-.f64 #s(literal 0 binary64) b)))
(*.f64 (/.f64 (/.f64 a #s(literal 2 binary64)) b) (/.f64 a b))
(*.f64 (/.f64 a (*.f64 b b)) (/.f64 a #s(literal 2 binary64)))
(*.f64 (/.f64 (*.f64 a a) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) b) (-.f64 #s(literal 0 binary64) b)))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal -1 binary64)) (/.f64 (*.f64 a (-.f64 #s(literal 0 binary64) a)) b))
(*.f64 (/.f64 (/.f64 a (/.f64 b a)) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) b))
(*.f64 (/.f64 (*.f64 a (/.f64 a #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) b) (-.f64 #s(literal 0 binary64) b)))
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 a b)) #s(literal -1 binary64)) (/.f64 a (-.f64 #s(literal 0 binary64) b)))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) b) b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a a))))
(*.f64 (/.f64 (*.f64 a (-.f64 #s(literal 0 binary64) a)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) b) b))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 a b)) a)
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 a b)) (/.f64 #s(literal 1 binary64) b)) a)
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 a b)) (/.f64 #s(literal -1 binary64) b)) (-.f64 #s(literal 0 binary64) a))

simplify440.0ms (2.9%)

Algorithm
1×egg-herbie
Rules
6118×*-lowering-*.f32
6118×*-lowering-*.f64
3384×+-lowering-+.f64
3384×+-lowering-+.f32
1736×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
012109533
142738647
082998647
Stop Event
1×iter limit
1×node limit
Counts
744 → 744
Calls
Call 1
Inputs
(* (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))
(* 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))))
(* 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))
(* -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))
(* -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))
(* -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 (/ 1 (* a c))) (/ 1 (sqrt -4)))
(+ (* -1 (/ b (* a (* c (pow (sqrt -4) 2))))) (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))
(+ (* b (- (* -1 (* b (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))))) (/ 1 (* a (* c (pow (sqrt -4) 2)))))) (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))
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(* b (+ (* -1/2 (/ (pow a 2) (pow b 2))) (* 1/2 (/ a c))))
(* 1/2 (/ (* a b) c))
(* -1 (* b (+ (* -1/2 (/ a c)) (* 1/2 (/ (pow a 2) (pow b 2))))))
(* -1 (* b (+ (* -1/2 (/ a c)) (* 1/2 (/ (pow a 2) (pow b 2))))))
(* -1 (* b (+ (* -1/2 (/ a c)) (* 1/2 (/ (pow a 2) (pow b 2))))))
(* 1/2 (/ (* a b) c))
(* a (+ (* -1/2 (/ a b)) (* 1/2 (/ b c))))
(* a (+ (* -1/2 (/ a b)) (* 1/2 (/ b c))))
(* a (+ (* -1/2 (/ a b)) (* 1/2 (/ b c))))
(* -1/2 (/ (pow a 2) b))
(* (pow a 2) (- (* 1/2 (/ b (* a c))) (* 1/2 (/ 1 b))))
(* (pow a 2) (- (* 1/2 (/ b (* a c))) (* 1/2 (/ 1 b))))
(* (pow a 2) (- (* 1/2 (/ b (* a c))) (* 1/2 (/ 1 b))))
(* -1/2 (/ (pow a 2) b))
(* (pow a 2) (- (* 1/2 (/ b (* a c))) (* 1/2 (/ 1 b))))
(* (pow a 2) (- (* 1/2 (/ b (* a c))) (* 1/2 (/ 1 b))))
(* (pow a 2) (- (* 1/2 (/ b (* a c))) (* 1/2 (/ 1 b))))
(* 1/2 (/ (* a b) c))
(/ (+ (* -1/2 (/ (* (pow a 2) c) b)) (* 1/2 (* a b))) c)
(/ (+ (* -1/2 (/ (* (pow a 2) c) b)) (* 1/2 (* a b))) c)
(/ (+ (* -1/2 (/ (* (pow a 2) c) b)) (* 1/2 (* a b))) c)
(* -1/2 (/ (pow a 2) b))
(+ (* -1/2 (/ (pow a 2) b)) (* 1/2 (/ (* a b) c)))
(+ (* -1/2 (/ (pow a 2) b)) (* 1/2 (/ (* a b) c)))
(+ (* -1/2 (/ (pow a 2) b)) (* 1/2 (/ (* a b) c)))
(* -1/2 (/ (pow a 2) b))
(+ (* -1/2 (/ (pow a 2) b)) (* 1/2 (/ (* a b) c)))
(+ (* -1/2 (/ (pow a 2) b)) (* 1/2 (/ (* a b) c)))
(+ (* -1/2 (/ (pow a 2) b)) (* 1/2 (/ (* a b) c)))
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -1 (/ (* a (pow c 4)) (pow b 7))) (* -1 (/ (pow c 3) (pow b 5))))))))
(/ b a)
(/ (+ b (/ (pow b 3) (* a c))) a)
(/ (- (+ b (/ (pow b 5) (* (pow a 2) (pow c 2)))) (* -1 (/ (pow b 3) (* a c)))) a)
(/ (- (+ b (/ (pow b 7) (* (pow a 3) (pow c 3)))) (+ (* -1 (/ (pow b 3) (* a c))) (* -1 (/ (pow b 5) (* (pow a 2) (pow c 2)))))) a)
(/ b a)
(* -1 (/ (+ (* -1 b) (* -1 (/ (pow b 3) (* a c)))) a))
(* -1 (/ (+ (* -1 b) (* -1 (/ (- (/ (pow b 5) (* a (pow c 2))) (* -1 (/ (pow b 3) c))) a))) a))
(* -1 (/ (+ (* -1 b) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow b 7) (* a (pow c 3)))) (/ (pow b 5) (pow c 2))) a)) (* -1 (/ (pow b 3) c))) a))) a))
(/ b a)
(* b (+ (/ 1 a) (/ (pow b 2) (* (pow a 2) c))))
(* b (+ (* (pow b 2) (+ (/ 1 (* (pow a 2) c)) (/ (pow b 2) (* (pow a 3) (pow c 2))))) (/ 1 a)))
(* b (+ (* (pow b 2) (+ (* (pow b 2) (+ (/ 1 (* (pow a 3) (pow c 2))) (/ (pow b 2) (* (pow a 4) (pow c 3))))) (/ 1 (* (pow a 2) c)))) (/ 1 a)))
(* -1 (/ c b))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1 (/ (* (pow a 2) (pow c 3)) (pow b 4))))) b)
(/ (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (+ (* -1 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (* -1 (/ (* (pow a 3) (pow c 4)) (pow b 6)))))) b)
(* -1 (/ c b))
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))
(* -1 (/ (+ c (+ (/ (* a (pow c 2)) (pow b 2)) (/ (* (pow a 2) (pow c 3)) (pow b 4)))) b))
(* -1 (/ (+ c (+ (/ (* a (pow c 2)) (pow b 2)) (+ (/ (* (pow a 2) (pow c 3)) (pow b 4)) (/ (* (pow a 3) (pow c 4)) (pow b 6))))) b))
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* -1 (/ (* (pow a 2) c) (pow b 5))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -1 (/ (* (pow a 3) c) (pow b 7))) (* -1 (/ (pow a 2) (pow b 5))))))) (/ 1 b)))
(/ b a)
(+ (/ b a) (/ (pow b 3) (* (pow a 2) c)))
(+ (/ b a) (+ (/ (pow b 3) (* (pow a 2) c)) (/ (pow b 5) (* (pow a 3) (pow c 2)))))
(+ (/ b a) (+ (/ (pow b 3) (* (pow a 2) c)) (+ (/ (pow b 5) (* (pow a 3) (pow c 2))) (/ (pow b 7) (* (pow a 4) (pow c 3))))))
(/ b a)
(+ (/ b a) (/ (pow b 3) (* (pow a 2) c)))
(+ (* -1 (/ (+ (* -1 (/ (pow b 3) (pow a 2))) (* -1 (/ (pow b 5) (* (pow a 3) c)))) c)) (/ b a))
(+ (* -1 (/ (+ (* -1 (/ (+ (/ (pow b 5) (pow a 3)) (/ (pow b 7) (* (pow a 4) c))) c)) (* -1 (/ (pow b 3) (pow a 2)))) c)) (/ b a))
(* -1/2 (/ a c))
(* a (- (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c))))
(* a (- (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c))))
(* a (- (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c))))
(* 1/2 (/ (pow a 2) (pow b 2)))
(* (pow a 2) (- (* 1/2 (/ 1 (pow b 2))) (* 1/2 (/ 1 (* a c)))))
(* (pow a 2) (- (* 1/2 (/ 1 (pow b 2))) (* 1/2 (/ 1 (* a c)))))
(* (pow a 2) (- (* 1/2 (/ 1 (pow b 2))) (* 1/2 (/ 1 (* a c)))))
(* 1/2 (/ (pow a 2) (pow b 2)))
(* (pow a 2) (- (* 1/2 (/ 1 (pow b 2))) (* 1/2 (/ 1 (* a c)))))
(* (pow a 2) (- (* 1/2 (/ 1 (pow b 2))) (* 1/2 (/ 1 (* a c)))))
(* (pow a 2) (- (* 1/2 (/ 1 (pow b 2))) (* 1/2 (/ 1 (* a c)))))
(* -1/2 (/ a c))
(/ (+ (* -1/2 a) (* 1/2 (/ (* (pow a 2) c) (pow b 2)))) c)
(/ (+ (* -1/2 a) (* 1/2 (/ (* (pow a 2) c) (pow b 2)))) c)
(/ (+ (* -1/2 a) (* 1/2 (/ (* (pow a 2) c) (pow b 2)))) c)
(* 1/2 (/ (pow a 2) (pow b 2)))
(+ (* -1/2 (/ a c)) (* 1/2 (/ (pow a 2) (pow b 2))))
(+ (* -1/2 (/ a c)) (* 1/2 (/ (pow a 2) (pow b 2))))
(+ (* -1/2 (/ a c)) (* 1/2 (/ (pow a 2) (pow b 2))))
(* 1/2 (/ (pow a 2) (pow b 2)))
(+ (* -1/2 (/ a c)) (* 1/2 (/ (pow a 2) (pow b 2))))
(+ (* -1/2 (/ a c)) (* 1/2 (/ (pow a 2) (pow b 2))))
(+ (* -1/2 (/ a c)) (* 1/2 (/ (pow a 2) (pow b 2))))
(* 1/2 (/ (pow a 2) (pow b 2)))
(/ (+ (* -1/2 (/ (* a (pow b 2)) c)) (* 1/2 (pow a 2))) (pow b 2))
(/ (+ (* -1/2 (/ (* a (pow b 2)) c)) (* 1/2 (pow a 2))) (pow b 2))
(/ (+ (* -1/2 (/ (* a (pow b 2)) c)) (* 1/2 (pow a 2))) (pow b 2))
(* -1/2 (/ a c))
(+ (* -1/2 (/ a c)) (* 1/2 (/ (pow a 2) (pow b 2))))
(+ (* -1/2 (/ a c)) (* 1/2 (/ (pow a 2) (pow b 2))))
(+ (* -1/2 (/ a c)) (* 1/2 (/ (pow a 2) (pow b 2))))
(* -1/2 (/ a c))
(+ (* -1/2 (/ a c)) (* 1/2 (/ (pow a 2) (pow b 2))))
(+ (* -1/2 (/ a c)) (* 1/2 (/ (pow a 2) (pow b 2))))
(+ (* -1/2 (/ a c)) (* 1/2 (/ (pow a 2) (pow b 2))))
(* (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))))
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (pow a 2) b)
(/ (pow a 2) b)
(/ (pow a 2) b)
(/ (pow a 2) b)
(/ (pow a 2) b)
(/ (pow a 2) b)
(/ (pow a 2) b)
(/ (pow a 2) b)
(/ (pow a 2) b)
(/ (pow a 2) b)
(/ (pow a 2) b)
(/ (pow a 2) b)
(/ (pow a 2) b)
(/ (pow a 2) b)
(/ (pow a 2) b)
(/ (pow a 2) b)
(/ (pow a 2) b)
(/ (pow a 2) b)
(/ (pow a 2) b)
(/ (pow a 2) b)
(/ (pow a 2) b)
(/ (pow a 2) b)
(/ (pow a 2) b)
(/ (pow a 2) b)
(* 1/2 (/ (pow a 2) (pow b 2)))
(* 1/2 (/ (pow a 2) (pow b 2)))
(* 1/2 (/ (pow a 2) (pow b 2)))
(* 1/2 (/ (pow a 2) (pow b 2)))
(* 1/2 (/ (pow a 2) (pow b 2)))
(* 1/2 (/ (pow a 2) (pow b 2)))
(* 1/2 (/ (pow a 2) (pow b 2)))
(* 1/2 (/ (pow a 2) (pow b 2)))
(* 1/2 (/ (pow a 2) (pow b 2)))
(* 1/2 (/ (pow a 2) (pow b 2)))
(* 1/2 (/ (pow a 2) (pow b 2)))
(* 1/2 (/ (pow a 2) (pow b 2)))
(* 1/2 (/ (pow a 2) (pow b 2)))
(* 1/2 (/ (pow a 2) (pow b 2)))
(* 1/2 (/ (pow a 2) (pow b 2)))
(* 1/2 (/ (pow a 2) (pow b 2)))
(* 1/2 (/ (pow a 2) (pow b 2)))
(* 1/2 (/ (pow a 2) (pow b 2)))
(* 1/2 (/ (pow a 2) (pow b 2)))
(* 1/2 (/ (pow a 2) (pow b 2)))
(* 1/2 (/ (pow a 2) (pow b 2)))
(* 1/2 (/ (pow a 2) (pow b 2)))
(* 1/2 (/ (pow a 2) (pow b 2)))
(* 1/2 (/ (pow a 2) (pow b 2)))
Outputs
(* (sqrt (/ a c)) (/ 1 (sqrt -4)))
(/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))
(+ (* -1 (/ b (* c (pow (sqrt -4) 2)))) (* (sqrt (/ a c)) (/ 1 (sqrt -4))))
(+.f64 (/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 (/.f64 b c) #s(literal 4 binary64)))
(+ (* 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))))
(+.f64 (/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) (*.f64 b (+.f64 (*.f64 b (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1/2 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 c #s(literal -4 binary64))))))
(+ (* 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))))
(+.f64 (/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) (*.f64 b (+.f64 (*.f64 b (+.f64 (*.f64 b (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a (*.f64 c c)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 4 binary64)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) #s(literal -1/2 binary64))) (sqrt.f64 #s(literal -4 binary64))))) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1/2 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 c #s(literal -4 binary64))))))
(* 1/2 (/ a b))
(/.f64 (*.f64 a #s(literal 1/2 binary64)) b)
(/ (+ (* 1/2 a) (* 1/2 (/ (* (pow a 2) c) (pow b 2)))) b)
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 a (/.f64 (*.f64 c (*.f64 a a)) (*.f64 b b)))) b)
(/ (- (+ (* 1/2 a) (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* -1/2 (/ (* (pow a 2) c) (pow b 2)))) b)
(/.f64 (+.f64 (+.f64 (*.f64 a #s(literal 1/2 binary64)) (/.f64 (*.f64 (*.f64 c c) (*.f64 a (*.f64 a a))) (pow.f64 b #s(literal 4 binary64)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 c (*.f64 a a))) (*.f64 b b))) 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)
(/.f64 (-.f64 (-.f64 (*.f64 a #s(literal 1/2 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 c (*.f64 c c)) (pow.f64 a #s(literal 4 binary64))) #s(literal -5/2 binary64)) (pow.f64 b #s(literal 6 binary64)))) (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 c (*.f64 a a))) (*.f64 b b)) (/.f64 (*.f64 (*.f64 c c) (*.f64 a (*.f64 a a))) (pow.f64 b #s(literal 4 binary64))))) b)
(* 1/2 (/ b c))
(/.f64 (*.f64 b #s(literal 1/2 binary64)) c)
(* -1 (* b (- (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c)))))
(*.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) c)) (-.f64 #s(literal 0 binary64) b))
(* -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))))))
(*.f64 (-.f64 (/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 c (*.f64 a a)) #s(literal -1/2 binary64))) (pow.f64 b #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) c) (*.f64 #s(literal -1/2 binary64) (/.f64 a (*.f64 b b))))) (-.f64 #s(literal 0 binary64) b))
(* -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))))))))
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(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
(*.f64 (+.f64 (*.f64 #s(literal -1/64 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)) (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a)))))))) (*.f64 #s(literal 1/512 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64))) (pow.f64 c #s(literal 5 binary64)))) (*.f64 (pow.f64 b #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64))))))) (neg.f64 a))
b
(+ b (* -2 (/ (* a c) b)))
(+.f64 b (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) b))
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+.f64 b (*.f64 c (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 a b) (/.f64 (*.f64 c (*.f64 a a)) (*.f64 b (*.f64 b b)))))))
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(+.f64 b (*.f64 c (+.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) (*.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))))))))
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 a c)))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(*.f64 c (+.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(*.f64 c (+.f64 (*.f64 #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 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))))))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(*.f64 c (+.f64 (+.f64 (*.f64 #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 #s(literal 1/16 binary64) (*.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 binary64))))))) (+.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))))))))
(* -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 (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(*.f64 (-.f64 #s(literal 0 binary64) c) (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(*.f64 (-.f64 #s(literal 0 binary64) c) (+.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64)))))) (*.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 #s(literal 0 binary64) c) (+.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 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64)))))) (*.f64 #s(literal 1/512 binary64) (*.f64 (*.f64 (pow.f64 b #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 binary64)))))))))
(* -4 (* a c))
(*.f64 (*.f64 a #s(literal -4 binary64)) c)
(+ (* -4 (* a c)) (pow b 2))
(+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c))
(+ (* -4 (* a c)) (pow b 2))
(+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c))
(+ (* -4 (* a c)) (pow b 2))
(+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) 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 (*.f64 a #s(literal -4 binary64)) 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 (*.f64 a #s(literal -4 binary64)) 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 (*.f64 a #s(literal -4 binary64)) 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 (*.f64 a #s(literal -4 binary64)) 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 (*.f64 a #s(literal -4 binary64)) 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 (*.f64 a #s(literal -4 binary64)) c) (*.f64 b b))))
(pow b 2)
(*.f64 b b)
(+ (* -4 (* a c)) (pow b 2))
(+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c))
(+ (* -4 (* a c)) (pow b 2))
(+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c))
(+ (* -4 (* a c)) (pow b 2))
(+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c))
(* -4 (* a c))
(*.f64 (*.f64 a #s(literal -4 binary64)) c)
(* a (+ (* -4 c) (/ (pow b 2) a)))
(*.f64 a (+.f64 (*.f64 c #s(literal -4 binary64)) (/.f64 (*.f64 b b) a)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(*.f64 a (+.f64 (*.f64 c #s(literal -4 binary64)) (/.f64 (*.f64 b b) a)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(*.f64 a (+.f64 (*.f64 c #s(literal -4 binary64)) (/.f64 (*.f64 b b) a)))
(* -4 (* a c))
(*.f64 (*.f64 a #s(literal -4 binary64)) 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))
(pow b 2)
(*.f64 b b)
(+ (* -4 (* a c)) (pow b 2))
(+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c))
(+ (* -4 (* a c)) (pow b 2))
(+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c))
(+ (* -4 (* a c)) (pow b 2))
(+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c))
(* -4 (* a c))
(*.f64 (*.f64 a #s(literal -4 binary64)) 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)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(*.f64 c (+.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 (*.f64 b b) c)))
(* -4 (* a c))
(*.f64 (*.f64 a #s(literal -4 binary64)) 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)))
(* -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)))
(/ (* a c) b)
(/.f64 (*.f64 a c) b)
(/ (* a c) b)
(/.f64 (*.f64 a c) b)
(/ (* a c) b)
(/.f64 (*.f64 a c) b)
(/ (* a c) b)
(/.f64 (*.f64 a c) b)
(/ (* a c) b)
(/.f64 (*.f64 a c) b)
(/ (* a c) b)
(/.f64 (*.f64 a c) b)
(/ (* a c) b)
(/.f64 (*.f64 a c) b)
(/ (* a c) b)
(/.f64 (*.f64 a c) b)
(/ (* a c) b)
(/.f64 (*.f64 a c) b)
(/ (* a c) b)
(/.f64 (*.f64 a c) b)
(/ (* a c) b)
(/.f64 (*.f64 a c) b)
(/ (* a c) b)
(/.f64 (*.f64 a c) b)
(/ (* a c) b)
(/.f64 (*.f64 a c) b)
(/ (* a c) b)
(/.f64 (*.f64 a c) b)
(/ (* a c) b)
(/.f64 (*.f64 a c) b)
(/ (* a c) b)
(/.f64 (*.f64 a c) b)
(/ (* a c) b)
(/.f64 (*.f64 a c) b)
(/ (* a c) b)
(/.f64 (*.f64 a c) b)
(/ (* a c) b)
(/.f64 (*.f64 a c) b)
(/ (* a c) b)
(/.f64 (*.f64 a c) b)
(/ (* a c) b)
(/.f64 (*.f64 a c) b)
(/ (* a c) b)
(/.f64 (*.f64 a c) b)
(/ (* a c) b)
(/.f64 (*.f64 a c) b)
(/ (* a c) b)
(/.f64 (*.f64 a c) b)
(/ (* a c) b)
(/.f64 (*.f64 a c) b)
(/ (* a c) b)
(/.f64 (*.f64 a c) b)
(/ (* a c) b)
(/.f64 (*.f64 a c) b)
(/ (* a c) b)
(/.f64 (*.f64 a c) b)
(/ (* a c) b)
(/.f64 (*.f64 a c) b)
(/ (* a c) b)
(/.f64 (*.f64 a c) b)
(/ (* a c) b)
(/.f64 (*.f64 a c) b)
(/ (* a c) b)
(/.f64 (*.f64 a c) b)
(/ (* a c) b)
(/.f64 (*.f64 a c) b)
(/ (* a c) b)
(/.f64 (*.f64 a c) b)
(/ (* a c) b)
(/.f64 (*.f64 a c) b)
(/ (* a c) b)
(/.f64 (*.f64 a c) b)
(/ (pow a 2) b)
(/.f64 (*.f64 a a) b)
(/ (pow a 2) b)
(/.f64 (*.f64 a a) b)
(/ (pow a 2) b)
(/.f64 (*.f64 a a) b)
(/ (pow a 2) b)
(/.f64 (*.f64 a a) b)
(/ (pow a 2) b)
(/.f64 (*.f64 a a) b)
(/ (pow a 2) b)
(/.f64 (*.f64 a a) b)
(/ (pow a 2) b)
(/.f64 (*.f64 a a) b)
(/ (pow a 2) b)
(/.f64 (*.f64 a a) b)
(/ (pow a 2) b)
(/.f64 (*.f64 a a) b)
(/ (pow a 2) b)
(/.f64 (*.f64 a a) b)
(/ (pow a 2) b)
(/.f64 (*.f64 a a) b)
(/ (pow a 2) b)
(/.f64 (*.f64 a a) b)
(/ (pow a 2) b)
(/.f64 (*.f64 a a) b)
(/ (pow a 2) b)
(/.f64 (*.f64 a a) b)
(/ (pow a 2) b)
(/.f64 (*.f64 a a) b)
(/ (pow a 2) b)
(/.f64 (*.f64 a a) b)
(/ (pow a 2) b)
(/.f64 (*.f64 a a) b)
(/ (pow a 2) b)
(/.f64 (*.f64 a a) b)
(/ (pow a 2) b)
(/.f64 (*.f64 a a) b)
(/ (pow a 2) b)
(/.f64 (*.f64 a a) b)
(/ (pow a 2) b)
(/.f64 (*.f64 a a) b)
(/ (pow a 2) b)
(/.f64 (*.f64 a a) b)
(/ (pow a 2) b)
(/.f64 (*.f64 a a) b)
(/ (pow a 2) b)
(/.f64 (*.f64 a a) b)
(* 1/2 (/ (pow a 2) (pow b 2)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a a)) (*.f64 b b))
(* 1/2 (/ (pow a 2) (pow b 2)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a a)) (*.f64 b b))
(* 1/2 (/ (pow a 2) (pow b 2)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a a)) (*.f64 b b))
(* 1/2 (/ (pow a 2) (pow b 2)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a a)) (*.f64 b b))
(* 1/2 (/ (pow a 2) (pow b 2)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a a)) (*.f64 b b))
(* 1/2 (/ (pow a 2) (pow b 2)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a a)) (*.f64 b b))
(* 1/2 (/ (pow a 2) (pow b 2)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a a)) (*.f64 b b))
(* 1/2 (/ (pow a 2) (pow b 2)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a a)) (*.f64 b b))
(* 1/2 (/ (pow a 2) (pow b 2)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a a)) (*.f64 b b))
(* 1/2 (/ (pow a 2) (pow b 2)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a a)) (*.f64 b b))
(* 1/2 (/ (pow a 2) (pow b 2)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a a)) (*.f64 b b))
(* 1/2 (/ (pow a 2) (pow b 2)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a a)) (*.f64 b b))
(* 1/2 (/ (pow a 2) (pow b 2)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a a)) (*.f64 b b))
(* 1/2 (/ (pow a 2) (pow b 2)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a a)) (*.f64 b b))
(* 1/2 (/ (pow a 2) (pow b 2)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a a)) (*.f64 b b))
(* 1/2 (/ (pow a 2) (pow b 2)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a a)) (*.f64 b b))
(* 1/2 (/ (pow a 2) (pow b 2)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a a)) (*.f64 b b))
(* 1/2 (/ (pow a 2) (pow b 2)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a a)) (*.f64 b b))
(* 1/2 (/ (pow a 2) (pow b 2)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a a)) (*.f64 b b))
(* 1/2 (/ (pow a 2) (pow b 2)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a a)) (*.f64 b b))
(* 1/2 (/ (pow a 2) (pow b 2)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a a)) (*.f64 b b))
(* 1/2 (/ (pow a 2) (pow b 2)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a a)) (*.f64 b b))
(* 1/2 (/ (pow a 2) (pow b 2)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a a)) (*.f64 b b))
(* 1/2 (/ (pow a 2) (pow b 2)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a a)) (*.f64 b b))

eval289.0ms (1.9%)

Compiler

Compiled 37329 to 5910 computations (84.2% saved)

prune295.0ms (2%)

Pruning

62 alts after pruning (59 fresh and 3 done)

PrunedKeptTotal
New1829271856
Fresh153247
Picked415
Done022
Total1848621910
Accuracy
92.3%
Counts
1910 → 62
Alt Table
Click to see full alt table
StatusAccuracyProgram
28.3%
(/.f64 (/.f64 (/.f64 a #s(literal 2 binary64)) b) (*.f64 a (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) c) #s(literal -1/2 binary64)) (/.f64 a (/.f64 b (/.f64 #s(literal 1/2 binary64) b))))))
19.7%
(/.f64 (/.f64 (*.f64 b (-.f64 (*.f64 a c) (*.f64 b b))) b) (*.f64 a b))
36.8%
(/.f64 (/.f64 a #s(literal -2 binary64)) (/.f64 (*.f64 a a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))
22.0%
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) a) (*.f64 a b)) (*.f64 a a))
15.1%
(/.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 a a) b)))
36.8%
(/.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 (*.f64 (/.f64 a #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)))))))))
32.0%
(/.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 a (-.f64 (/.f64 b c) (/.f64 a b))))
10.9%
(/.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 #s(literal -2 binary64) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 (+.f64 (*.f64 (/.f64 a #s(literal -2 binary64)) (*.f64 (/.f64 (/.f64 b a) a) b)) (*.f64 c #s(literal 1/2 binary64))) (*.f64 c (*.f64 (/.f64 (/.f64 b a) a) b)))))))
22.3%
(/.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 #s(literal -2 binary64) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 (+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 b a) a)) (/.f64 c a)) (*.f64 b #s(literal -1/2 binary64))) (*.f64 b (/.f64 c a)))))))
22.4%
(/.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 #s(literal -2 binary64) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a c)) (*.f64 (/.f64 (*.f64 a (/.f64 a #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) b) (-.f64 #s(literal 0 binary64) b))))))))
24.1%
(/.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 #s(literal -2 binary64) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a c)) (*.f64 (/.f64 #s(literal 1/2 binary64) b) (*.f64 (/.f64 a (/.f64 #s(literal 1 binary64) a)) (/.f64 #s(literal 1 binary64) b))))))))
27.8%
(/.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 #s(literal -2 binary64) (neg.f64 (*.f64 a (/.f64 a (+.f64 b (sqrt.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64)))))))))
37.4%
(/.f64 (+.f64 b (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) (/.f64 (/.f64 b (/.f64 c b)) a)))) b)) (*.f64 a #s(literal -2 binary64)))
9.9%
(/.f64 (+.f64 b (*.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64))) b)) #s(literal -1 binary64)))) (*.f64 a #s(literal -2 binary64)))
34.8%
(/.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64)))
37.1%
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))) (*.f64 #s(literal -2 binary64) (*.f64 a a)))
22.0%
(/.f64 (*.f64 (+.f64 b (/.f64 c (/.f64 b (-.f64 #s(literal 0 binary64) a)))) b) (/.f64 b (/.f64 #s(literal -1 binary64) a)))
36.8%
(/.f64 (*.f64 c (*.f64 (/.f64 #s(literal -1 binary64) a) a)) b)
32.1%
(/.f64 (neg.f64 (*.f64 a (/.f64 c a))) b)
✓9.0%
(/.f64 c b)
2.7%
(/.f64 b a)
34.9%
(/.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal 2 binary64)) b) (*.f64 b #s(literal -2 binary64))) c))
36.5%
(/.f64 #s(literal 2 binary64) (/.f64 (*.f64 b #s(literal -2 binary64)) c))
36.9%
(/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 b #s(literal -2 binary64)) c) (*.f64 #s(literal 2 binary64) (/.f64 a b))))
27.9%
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 a #s(literal -1/2 binary64)) (/.f64 (-.f64 (/.f64 b a) (/.f64 c b)) c)))
32.0%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a (+.f64 #s(literal -1 binary64) (/.f64 a (*.f64 (/.f64 b c) b)))) b))
31.8%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) b) (*.f64 a (/.f64 c a))))
9.0%
(/.f64 #s(literal 1 binary64) (/.f64 b c))
28.0%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) a) (*.f64 b (*.f64 a (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) c) #s(literal -1/2 binary64)) (/.f64 a (/.f64 b (/.f64 #s(literal 1/2 binary64) b))))))))
✓51.6%
(/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))
34.8%
(/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64))))))
34.8%
(/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c)))) a))
32.0%
(/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) b) a))
32.0%
(/.f64 #s(literal -1 binary64) (/.f64 a b))
32.2%
(-.f64 (/.f64 c b) (/.f64 b a))
31.1%
(-.f64 (*.f64 c (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (/.f64 (/.f64 (*.f64 a c) b) b) b))) (/.f64 b a))
36.9%
(-.f64 #s(literal 0 binary64) (/.f64 c b))
28.3%
(*.f64 (/.f64 (/.f64 a b) #s(literal -1 binary64)) (/.f64 c a))
26.9%
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) a) (/.f64 (*.f64 a c) #s(literal -1 binary64)))
22.5%
(*.f64 (/.f64 (-.f64 (*.f64 a c) (*.f64 b b)) a) (/.f64 #s(literal 1 binary64) b))
32.3%
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 a (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) c) #s(literal -1/2 binary64)) (/.f64 a (/.f64 b (/.f64 #s(literal 1/2 binary64) b)))))) (/.f64 #s(literal -1/2 binary64) b))
28.1%
(*.f64 (/.f64 a #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 a (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) c) #s(literal -1/2 binary64)) (/.f64 a (/.f64 b (/.f64 #s(literal 1/2 binary64) b))))))))
36.6%
(*.f64 (/.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 a)))
36.8%
(*.f64 (/.f64 #s(literal 2 binary64) b) (*.f64 #s(literal 1 binary64) (/.f64 c #s(literal -2 binary64))))
38.6%
(*.f64 (/.f64 #s(literal 1 binary64) (+.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 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (/.f64 a #s(literal 1/2 binary64))))))
9.0%
(*.f64 (/.f64 #s(literal 1 binary64) b) c)
26.5%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (+.f64 b (*.f64 (*.f64 c #s(literal -2 binary64)) (+.f64 (/.f64 a b) (/.f64 (*.f64 a (*.f64 a c)) (*.f64 b (*.f64 b b))))))))
34.8%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))))
32.0%
(*.f64 (/.f64 #s(literal -1 binary64) a) b)
30.8%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 a c)) (/.f64 #s(literal -1 binary64) b))
29.3%
(*.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 a (/.f64 #s(literal -1/2 binary64) (*.f64 a b))))
26.7%
(*.f64 (*.f64 a c) (/.f64 #s(literal -1 binary64) (*.f64 b a)))
25.6%
(*.f64 c (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 b (*.f64 a c))))
8.8%
(*.f64 b (/.f64 (/.f64 (*.f64 a c) (*.f64 b b)) a))
32.0%
(*.f64 b (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 a b) (/.f64 b c))) a))
32.0%
(*.f64 b (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 c (/.f64 b a))))) a))
9.0%
(*.f64 b (/.f64 c (*.f64 b b)))
30.3%
(*.f64 b (+.f64 (/.f64 c (pow.f64 (exp.f64 (log.f64 b)) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) a)))
30.3%
(*.f64 b (+.f64 (/.f64 c (exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 b)))) (/.f64 #s(literal -1 binary64) a)))
8.3%
(*.f64 b (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (*.f64 b b) (*.f64 c (*.f64 a a)))))
✓32.1%
(neg.f64 (/.f64 b a))
15.2%
(neg.f64 (exp.f64 (*.f64 (log.f64 (/.f64 a b)) #s(literal -1 binary64))))
Compiler

Compiled 2663 to 1160 computations (56.4% saved)

regimes129.0ms (0.9%)

Counts
103 → 3
Calls
Call 1
Inputs
(/.f64 b a)
(/.f64 c b)
(neg.f64 (/.f64 b a))
(*.f64 (/.f64 #s(literal -1 binary64) a) b)
(*.f64 (/.f64 #s(literal 1 binary64) b) c)
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(/.f64 #s(literal -1 binary64) (/.f64 a b))
(/.f64 #s(literal 1 binary64) (/.f64 b c))
(*.f64 b (/.f64 c (*.f64 b b)))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) b) a))
(/.f64 #s(literal 2 binary64) (/.f64 (*.f64 b #s(literal -2 binary64)) c))
(/.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(/.f64 (neg.f64 (*.f64 a (/.f64 c a))) b)
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a c) (*.f64 a b)))
(*.f64 a (/.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 b c)))
(*.f64 (*.f64 a c) (/.f64 #s(literal -1 binary64) (*.f64 b a)))
(*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 c (/.f64 a b)))
(*.f64 (/.f64 #s(literal 2 binary64) b) (*.f64 #s(literal 1 binary64) (/.f64 c #s(literal -2 binary64))))
(*.f64 (/.f64 a b) (*.f64 #s(literal -1 binary64) (/.f64 c a)))
(*.f64 (/.f64 (/.f64 a b) #s(literal -1 binary64)) (/.f64 c a))
(/.f64 (*.f64 c (*.f64 (/.f64 #s(literal -1 binary64) a) a)) b)
(/.f64 (*.f64 (*.f64 #s(literal -1 binary64) (/.f64 c a)) a) b)
(/.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 (*.f64 b a) c))
(/.f64 (-.f64 (/.f64 (*.f64 c a) b) b) a)
(*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a)))
(*.f64 b (/.f64 (/.f64 (*.f64 a c) (*.f64 b b)) a))
(*.f64 c (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 b (*.f64 a c))))
(*.f64 (*.f64 a c) (*.f64 (/.f64 #s(literal 2 binary64) b) (/.f64 #s(literal -1/2 binary64) a)))
(*.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 a (/.f64 #s(literal -1/2 binary64) (*.f64 a b))))
(*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (*.f64 a c)) (/.f64 #s(literal 2 binary64) b))
(*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (*.f64 c #s(literal 2 binary64)) b)) a)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 a c)) (/.f64 #s(literal -1 binary64) b))
(*.f64 (/.f64 c (/.f64 #s(literal 1/2 binary64) a)) (/.f64 #s(literal -1/2 binary64) (*.f64 a b)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) a) (/.f64 (*.f64 a c) #s(literal -1 binary64)))
(/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 b (/.f64 c (/.f64 #s(literal 1/2 binary64) a))) a))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) b) (*.f64 a (/.f64 c a))))
(/.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 a a) b)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) a) (*.f64 a b)) (*.f64 a a))
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 c a)) b) (*.f64 a #s(literal -2 binary64)))
(/.f64 (/.f64 (*.f64 a (*.f64 c #s(literal 2 binary64))) b) (*.f64 a #s(literal -2 binary64)))
(*.f64 b (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 a b) (/.f64 b c))) a))
(*.f64 b (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 a c) b) b)) a))
(*.f64 (/.f64 (-.f64 (*.f64 a c) (*.f64 b b)) a) (/.f64 #s(literal 1 binary64) b))
(/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 b #s(literal -2 binary64)) c) (*.f64 #s(literal 2 binary64) (/.f64 a b))))
(/.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 a (-.f64 (/.f64 b c) (/.f64 a b))))
(*.f64 b (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (*.f64 b b) (*.f64 c (*.f64 a a)))))
(*.f64 b (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 c (/.f64 b a))))) a))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a (+.f64 #s(literal -1 binary64) (/.f64 a (*.f64 (/.f64 b c) b)))) b))
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 a #s(literal -1/2 binary64)) (/.f64 (-.f64 (/.f64 b a) (/.f64 c b)) c)))
(/.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal 2 binary64)) b) (*.f64 b #s(literal -2 binary64))) c))
(/.f64 (/.f64 (*.f64 b (-.f64 (*.f64 a c) (*.f64 b b))) b) (*.f64 a b))
(*.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a b) (+.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 a (/.f64 b c))))))
(*.f64 c (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (/.f64 (*.f64 a c) b) b) b)) (/.f64 #s(literal -1 binary64) b)))
(/.f64 (*.f64 (+.f64 b (/.f64 c (/.f64 b (-.f64 #s(literal 0 binary64) a)))) b) (/.f64 b (/.f64 #s(literal -1 binary64) a)))
(-.f64 (*.f64 c (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (*.f64 a (/.f64 c (*.f64 b b))) b))) (/.f64 b a))
(-.f64 (*.f64 c (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (/.f64 (/.f64 (*.f64 a c) b) b) b))) (/.f64 b a))
(/.f64 (*.f64 (+.f64 a (-.f64 #s(literal 0 binary64) (/.f64 b (/.f64 c b)))) b) (/.f64 (*.f64 a (*.f64 b b)) c))
(/.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 b (*.f64 c (+.f64 a (/.f64 (/.f64 (*.f64 a (*.f64 a c)) b) b)))))
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 a #s(literal -1/2 binary64)) (/.f64 b (*.f64 c (+.f64 a (/.f64 (/.f64 (*.f64 a (*.f64 a c)) b) b))))))
(/.f64 (+.f64 b (*.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64))) b)) #s(literal -1 binary64)))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (+.f64 b (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 b b))))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (/.f64 (/.f64 a #s(literal 2 binary64)) b) (*.f64 a (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) c) #s(literal -1/2 binary64)) (/.f64 a (/.f64 b (/.f64 #s(literal 1/2 binary64) b))))))
(*.f64 (/.f64 a #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 a (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) c) #s(literal -1/2 binary64)) (/.f64 a (/.f64 b (/.f64 #s(literal 1/2 binary64) b))))))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 a (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) c) #s(literal -1/2 binary64)) (/.f64 a (/.f64 b (/.f64 #s(literal 1/2 binary64) b)))))) (/.f64 #s(literal -1/2 binary64) b))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) a) (*.f64 b (*.f64 a (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) c) #s(literal -1/2 binary64)) (/.f64 a (/.f64 b (/.f64 #s(literal 1/2 binary64) b))))))))
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 b (/.f64 c b))) (*.f64 (/.f64 a b) b)) (*.f64 (/.f64 a b) (/.f64 b (/.f64 c b))))
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 c a) (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)))) b) (*.f64 a #s(literal -2 binary64)))
(/.f64 (*.f64 (*.f64 a a) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (/.f64 (/.f64 (*.f64 c c) b) b) b) (/.f64 c (*.f64 b a))))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 #s(literal -2 binary64) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a c)) (*.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (*.f64 a a) b)))))))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (+.f64 b (*.f64 (*.f64 c #s(literal -2 binary64)) (+.f64 (/.f64 a b) (/.f64 (*.f64 a (*.f64 a c)) (*.f64 b (*.f64 b b))))))))
(/.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 #s(literal -2 binary64) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a c)) (*.f64 (/.f64 #s(literal 1/2 binary64) b) (*.f64 (/.f64 a (/.f64 #s(literal 1 binary64) a)) (/.f64 #s(literal 1 binary64) b))))))))
(/.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 #s(literal -2 binary64) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a c)) (*.f64 (/.f64 (*.f64 a (/.f64 a #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) b) (-.f64 #s(literal 0 binary64) b))))))))
(/.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 #s(literal -2 binary64) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 (+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 b a) a)) (/.f64 c a)) (*.f64 b #s(literal -1/2 binary64))) (*.f64 b (/.f64 c a)))))))
(/.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 #s(literal -2 binary64) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 (+.f64 (*.f64 (/.f64 a #s(literal -2 binary64)) (*.f64 (/.f64 (/.f64 b a) a) b)) (*.f64 c #s(literal 1/2 binary64))) (*.f64 c (*.f64 (/.f64 (/.f64 b a) a) 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 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c)))) a))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))
(/.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 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))) a))
(/.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 #s(literal -2 binary64) (neg.f64 (*.f64 a (/.f64 a (+.f64 b (sqrt.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64)))))))))
(*.f64 (/.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 a)))
(/.f64 (+.f64 b (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) (/.f64 (/.f64 b (/.f64 c b)) a)))) b)) (*.f64 a #s(literal -2 binary64)))
(/.f64 (/.f64 a #s(literal -2 binary64)) (/.f64 (*.f64 a a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))) (*.f64 #s(literal -2 binary64) (*.f64 a a)))
(/.f64 (+.f64 b (sqrt.f64 (*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (*.f64 a (/.f64 c (*.f64 b b)))))))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 #s(literal -2 binary64) (neg.f64 (*.f64 a (/.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 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (*.f64 a (/.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 b c)))))))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 (*.f64 (/.f64 a #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 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #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 #s(literal 1/2 binary64) a))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (/.f64 a #s(literal 1/2 binary64))) (+.f64 #s(literal 0 binary64) (/.f64 (/.f64 a #s(literal -1/2 binary64)) (/.f64 #s(literal 2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))))))
(neg.f64 (exp.f64 (*.f64 (log.f64 (/.f64 a b)) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 a b)) #s(literal -1 binary64))))
(*.f64 b (+.f64 (/.f64 c (exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 b)))) (/.f64 #s(literal -1 binary64) a)))
(exp.f64 (*.f64 (log.f64 (neg.f64 (/.f64 a (*.f64 c (/.f64 (+.f64 a (/.f64 (/.f64 (*.f64 a (*.f64 a c)) b) b)) b))))) #s(literal -1 binary64)))
(/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 c (/.f64 (+.f64 a (/.f64 (/.f64 (*.f64 a (*.f64 a c)) b) b)) b)))) #s(literal -1 binary64))) (*.f64 a #s(literal -2 binary64)))
(*.f64 b (+.f64 (/.f64 c (pow.f64 (exp.f64 (log.f64 b)) #s(literal 2 binary64))) (/.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))))))) (neg.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 a #s(literal 1/2 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 b (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) (/.f64 (/.f64 b (/.f64 c b)) a)))) b)) (*.f64 a #s(literal -2 binary64)))
Calls

4 calls:

32.0ms
a
29.0ms
b
28.0ms
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a))
28.0ms
c
Results
AccuracySegmentsBranch
51.8%1a
86.8%3b
51.8%1c
75.5%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)

regimes71.0ms (0.5%)

Counts
87 → 3
Calls
Call 1
Inputs
(/.f64 b a)
(/.f64 c b)
(neg.f64 (/.f64 b a))
(*.f64 (/.f64 #s(literal -1 binary64) a) b)
(*.f64 (/.f64 #s(literal 1 binary64) b) c)
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(/.f64 #s(literal -1 binary64) (/.f64 a b))
(/.f64 #s(literal 1 binary64) (/.f64 b c))
(*.f64 b (/.f64 c (*.f64 b b)))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) b) a))
(/.f64 #s(literal 2 binary64) (/.f64 (*.f64 b #s(literal -2 binary64)) c))
(/.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(/.f64 (neg.f64 (*.f64 a (/.f64 c a))) b)
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a c) (*.f64 a b)))
(*.f64 a (/.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 b c)))
(*.f64 (*.f64 a c) (/.f64 #s(literal -1 binary64) (*.f64 b a)))
(*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 c (/.f64 a b)))
(*.f64 (/.f64 #s(literal 2 binary64) b) (*.f64 #s(literal 1 binary64) (/.f64 c #s(literal -2 binary64))))
(*.f64 (/.f64 a b) (*.f64 #s(literal -1 binary64) (/.f64 c a)))
(*.f64 (/.f64 (/.f64 a b) #s(literal -1 binary64)) (/.f64 c a))
(/.f64 (*.f64 c (*.f64 (/.f64 #s(literal -1 binary64) a) a)) b)
(/.f64 (*.f64 (*.f64 #s(literal -1 binary64) (/.f64 c a)) a) b)
(/.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 (*.f64 b a) c))
(/.f64 (-.f64 (/.f64 (*.f64 c a) b) b) a)
(*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a)))
(*.f64 b (/.f64 (/.f64 (*.f64 a c) (*.f64 b b)) a))
(*.f64 c (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 b (*.f64 a c))))
(*.f64 (*.f64 a c) (*.f64 (/.f64 #s(literal 2 binary64) b) (/.f64 #s(literal -1/2 binary64) a)))
(*.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 a (/.f64 #s(literal -1/2 binary64) (*.f64 a b))))
(*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (*.f64 a c)) (/.f64 #s(literal 2 binary64) b))
(*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (*.f64 c #s(literal 2 binary64)) b)) a)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 a c)) (/.f64 #s(literal -1 binary64) b))
(*.f64 (/.f64 c (/.f64 #s(literal 1/2 binary64) a)) (/.f64 #s(literal -1/2 binary64) (*.f64 a b)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) a) (/.f64 (*.f64 a c) #s(literal -1 binary64)))
(/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 b (/.f64 c (/.f64 #s(literal 1/2 binary64) a))) a))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) b) (*.f64 a (/.f64 c a))))
(/.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 a a) b)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) a) (*.f64 a b)) (*.f64 a a))
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 c a)) b) (*.f64 a #s(literal -2 binary64)))
(/.f64 (/.f64 (*.f64 a (*.f64 c #s(literal 2 binary64))) b) (*.f64 a #s(literal -2 binary64)))
(*.f64 b (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 a b) (/.f64 b c))) a))
(*.f64 b (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 a c) b) b)) a))
(*.f64 (/.f64 (-.f64 (*.f64 a c) (*.f64 b b)) a) (/.f64 #s(literal 1 binary64) b))
(/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 b #s(literal -2 binary64)) c) (*.f64 #s(literal 2 binary64) (/.f64 a b))))
(/.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 a (-.f64 (/.f64 b c) (/.f64 a b))))
(*.f64 b (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (*.f64 b b) (*.f64 c (*.f64 a a)))))
(*.f64 b (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 c (/.f64 b a))))) a))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a (+.f64 #s(literal -1 binary64) (/.f64 a (*.f64 (/.f64 b c) b)))) b))
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 a #s(literal -1/2 binary64)) (/.f64 (-.f64 (/.f64 b a) (/.f64 c b)) c)))
(/.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal 2 binary64)) b) (*.f64 b #s(literal -2 binary64))) c))
(/.f64 (/.f64 (*.f64 b (-.f64 (*.f64 a c) (*.f64 b b))) b) (*.f64 a b))
(*.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a b) (+.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 a (/.f64 b c))))))
(*.f64 c (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (/.f64 (*.f64 a c) b) b) b)) (/.f64 #s(literal -1 binary64) b)))
(/.f64 (*.f64 (+.f64 b (/.f64 c (/.f64 b (-.f64 #s(literal 0 binary64) a)))) b) (/.f64 b (/.f64 #s(literal -1 binary64) a)))
(-.f64 (*.f64 c (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (*.f64 a (/.f64 c (*.f64 b b))) b))) (/.f64 b a))
(-.f64 (*.f64 c (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (/.f64 (/.f64 (*.f64 a c) b) b) b))) (/.f64 b a))
(/.f64 (*.f64 (+.f64 a (-.f64 #s(literal 0 binary64) (/.f64 b (/.f64 c b)))) b) (/.f64 (*.f64 a (*.f64 b b)) c))
(/.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 b (*.f64 c (+.f64 a (/.f64 (/.f64 (*.f64 a (*.f64 a c)) b) b)))))
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 a #s(literal -1/2 binary64)) (/.f64 b (*.f64 c (+.f64 a (/.f64 (/.f64 (*.f64 a (*.f64 a c)) b) b))))))
(/.f64 (+.f64 b (*.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64))) b)) #s(literal -1 binary64)))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (+.f64 b (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 b b))))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (/.f64 (/.f64 a #s(literal 2 binary64)) b) (*.f64 a (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) c) #s(literal -1/2 binary64)) (/.f64 a (/.f64 b (/.f64 #s(literal 1/2 binary64) b))))))
(*.f64 (/.f64 a #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 a (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) c) #s(literal -1/2 binary64)) (/.f64 a (/.f64 b (/.f64 #s(literal 1/2 binary64) b))))))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 a (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) c) #s(literal -1/2 binary64)) (/.f64 a (/.f64 b (/.f64 #s(literal 1/2 binary64) b)))))) (/.f64 #s(literal -1/2 binary64) b))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) a) (*.f64 b (*.f64 a (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) c) #s(literal -1/2 binary64)) (/.f64 a (/.f64 b (/.f64 #s(literal 1/2 binary64) b))))))))
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 b (/.f64 c b))) (*.f64 (/.f64 a b) b)) (*.f64 (/.f64 a b) (/.f64 b (/.f64 c b))))
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 c a) (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)))) b) (*.f64 a #s(literal -2 binary64)))
(/.f64 (*.f64 (*.f64 a a) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (/.f64 (/.f64 (*.f64 c c) b) b) b) (/.f64 c (*.f64 b a))))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 #s(literal -2 binary64) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a c)) (*.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (*.f64 a a) b)))))))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (+.f64 b (*.f64 (*.f64 c #s(literal -2 binary64)) (+.f64 (/.f64 a b) (/.f64 (*.f64 a (*.f64 a c)) (*.f64 b (*.f64 b b))))))))
(/.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 #s(literal -2 binary64) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a c)) (*.f64 (/.f64 #s(literal 1/2 binary64) b) (*.f64 (/.f64 a (/.f64 #s(literal 1 binary64) a)) (/.f64 #s(literal 1 binary64) b))))))))
(/.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 #s(literal -2 binary64) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a c)) (*.f64 (/.f64 (*.f64 a (/.f64 a #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) b) (-.f64 #s(literal 0 binary64) b))))))))
(/.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 #s(literal -2 binary64) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 (+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 b a) a)) (/.f64 c a)) (*.f64 b #s(literal -1/2 binary64))) (*.f64 b (/.f64 c a)))))))
(/.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 #s(literal -2 binary64) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 (+.f64 (*.f64 (/.f64 a #s(literal -2 binary64)) (*.f64 (/.f64 (/.f64 b a) a) b)) (*.f64 c #s(literal 1/2 binary64))) (*.f64 c (*.f64 (/.f64 (/.f64 b a) a) 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 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c)))) a))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))
(/.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 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))) a))
(/.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 #s(literal -2 binary64) (neg.f64 (*.f64 a (/.f64 a (+.f64 b (sqrt.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64)))))))))
(*.f64 (/.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 a)))
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

1 calls:

48.0ms
b
Results
AccuracySegmentsBranch
85.4%3b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes33.0ms (0.2%)

Counts
82 → 3
Calls
Call 1
Inputs
(/.f64 b a)
(/.f64 c b)
(neg.f64 (/.f64 b a))
(*.f64 (/.f64 #s(literal -1 binary64) a) b)
(*.f64 (/.f64 #s(literal 1 binary64) b) c)
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(/.f64 #s(literal -1 binary64) (/.f64 a b))
(/.f64 #s(literal 1 binary64) (/.f64 b c))
(*.f64 b (/.f64 c (*.f64 b b)))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) b) a))
(/.f64 #s(literal 2 binary64) (/.f64 (*.f64 b #s(literal -2 binary64)) c))
(/.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(/.f64 (neg.f64 (*.f64 a (/.f64 c a))) b)
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a c) (*.f64 a b)))
(*.f64 a (/.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 b c)))
(*.f64 (*.f64 a c) (/.f64 #s(literal -1 binary64) (*.f64 b a)))
(*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 c (/.f64 a b)))
(*.f64 (/.f64 #s(literal 2 binary64) b) (*.f64 #s(literal 1 binary64) (/.f64 c #s(literal -2 binary64))))
(*.f64 (/.f64 a b) (*.f64 #s(literal -1 binary64) (/.f64 c a)))
(*.f64 (/.f64 (/.f64 a b) #s(literal -1 binary64)) (/.f64 c a))
(/.f64 (*.f64 c (*.f64 (/.f64 #s(literal -1 binary64) a) a)) b)
(/.f64 (*.f64 (*.f64 #s(literal -1 binary64) (/.f64 c a)) a) b)
(/.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 (*.f64 b a) c))
(/.f64 (-.f64 (/.f64 (*.f64 c a) b) b) a)
(*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a)))
(*.f64 b (/.f64 (/.f64 (*.f64 a c) (*.f64 b b)) a))
(*.f64 c (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 b (*.f64 a c))))
(*.f64 (*.f64 a c) (*.f64 (/.f64 #s(literal 2 binary64) b) (/.f64 #s(literal -1/2 binary64) a)))
(*.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 a (/.f64 #s(literal -1/2 binary64) (*.f64 a b))))
(*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (*.f64 a c)) (/.f64 #s(literal 2 binary64) b))
(*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (*.f64 c #s(literal 2 binary64)) b)) a)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 a c)) (/.f64 #s(literal -1 binary64) b))
(*.f64 (/.f64 c (/.f64 #s(literal 1/2 binary64) a)) (/.f64 #s(literal -1/2 binary64) (*.f64 a b)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) a) (/.f64 (*.f64 a c) #s(literal -1 binary64)))
(/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 b (/.f64 c (/.f64 #s(literal 1/2 binary64) a))) a))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) b) (*.f64 a (/.f64 c a))))
(/.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 a a) b)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) a) (*.f64 a b)) (*.f64 a a))
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 c a)) b) (*.f64 a #s(literal -2 binary64)))
(/.f64 (/.f64 (*.f64 a (*.f64 c #s(literal 2 binary64))) b) (*.f64 a #s(literal -2 binary64)))
(*.f64 b (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 a b) (/.f64 b c))) a))
(*.f64 b (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 a c) b) b)) a))
(*.f64 (/.f64 (-.f64 (*.f64 a c) (*.f64 b b)) a) (/.f64 #s(literal 1 binary64) b))
(/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 b #s(literal -2 binary64)) c) (*.f64 #s(literal 2 binary64) (/.f64 a b))))
(/.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 a (-.f64 (/.f64 b c) (/.f64 a b))))
(*.f64 b (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (*.f64 b b) (*.f64 c (*.f64 a a)))))
(*.f64 b (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 c (/.f64 b a))))) a))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a (+.f64 #s(literal -1 binary64) (/.f64 a (*.f64 (/.f64 b c) b)))) b))
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 a #s(literal -1/2 binary64)) (/.f64 (-.f64 (/.f64 b a) (/.f64 c b)) c)))
(/.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal 2 binary64)) b) (*.f64 b #s(literal -2 binary64))) c))
(/.f64 (/.f64 (*.f64 b (-.f64 (*.f64 a c) (*.f64 b b))) b) (*.f64 a b))
(*.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a b) (+.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 a (/.f64 b c))))))
(*.f64 c (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (/.f64 (*.f64 a c) b) b) b)) (/.f64 #s(literal -1 binary64) b)))
(/.f64 (*.f64 (+.f64 b (/.f64 c (/.f64 b (-.f64 #s(literal 0 binary64) a)))) b) (/.f64 b (/.f64 #s(literal -1 binary64) a)))
(-.f64 (*.f64 c (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (*.f64 a (/.f64 c (*.f64 b b))) b))) (/.f64 b a))
(-.f64 (*.f64 c (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (/.f64 (/.f64 (*.f64 a c) b) b) b))) (/.f64 b a))
(/.f64 (*.f64 (+.f64 a (-.f64 #s(literal 0 binary64) (/.f64 b (/.f64 c b)))) b) (/.f64 (*.f64 a (*.f64 b b)) c))
(/.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 b (*.f64 c (+.f64 a (/.f64 (/.f64 (*.f64 a (*.f64 a c)) b) b)))))
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 a #s(literal -1/2 binary64)) (/.f64 b (*.f64 c (+.f64 a (/.f64 (/.f64 (*.f64 a (*.f64 a c)) b) b))))))
(/.f64 (+.f64 b (*.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64))) b)) #s(literal -1 binary64)))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (+.f64 b (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 b b))))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (/.f64 (/.f64 a #s(literal 2 binary64)) b) (*.f64 a (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) c) #s(literal -1/2 binary64)) (/.f64 a (/.f64 b (/.f64 #s(literal 1/2 binary64) b))))))
(*.f64 (/.f64 a #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 a (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) c) #s(literal -1/2 binary64)) (/.f64 a (/.f64 b (/.f64 #s(literal 1/2 binary64) b))))))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 a (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) c) #s(literal -1/2 binary64)) (/.f64 a (/.f64 b (/.f64 #s(literal 1/2 binary64) b)))))) (/.f64 #s(literal -1/2 binary64) b))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) a) (*.f64 b (*.f64 a (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) c) #s(literal -1/2 binary64)) (/.f64 a (/.f64 b (/.f64 #s(literal 1/2 binary64) b))))))))
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 b (/.f64 c b))) (*.f64 (/.f64 a b) b)) (*.f64 (/.f64 a b) (/.f64 b (/.f64 c b))))
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 c a) (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)))) b) (*.f64 a #s(literal -2 binary64)))
(/.f64 (*.f64 (*.f64 a a) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (/.f64 (/.f64 (*.f64 c c) b) b) b) (/.f64 c (*.f64 b a))))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 #s(literal -2 binary64) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a c)) (*.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (*.f64 a a) b)))))))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (+.f64 b (*.f64 (*.f64 c #s(literal -2 binary64)) (+.f64 (/.f64 a b) (/.f64 (*.f64 a (*.f64 a c)) (*.f64 b (*.f64 b b))))))))
(/.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 #s(literal -2 binary64) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a c)) (*.f64 (/.f64 #s(literal 1/2 binary64) b) (*.f64 (/.f64 a (/.f64 #s(literal 1 binary64) a)) (/.f64 #s(literal 1 binary64) b))))))))
(/.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 #s(literal -2 binary64) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a c)) (*.f64 (/.f64 (*.f64 a (/.f64 a #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) b) (-.f64 #s(literal 0 binary64) b))))))))
(/.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 #s(literal -2 binary64) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 (+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 b a) a)) (/.f64 c a)) (*.f64 b #s(literal -1/2 binary64))) (*.f64 b (/.f64 c a)))))))
(/.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 #s(literal -2 binary64) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 (+.f64 (*.f64 (/.f64 a #s(literal -2 binary64)) (*.f64 (/.f64 (/.f64 b a) a) b)) (*.f64 c #s(literal 1/2 binary64))) (*.f64 c (*.f64 (/.f64 (/.f64 b a) a) 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 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c)))) a))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))
(/.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 (/.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:

23.0ms
b
Results
AccuracySegmentsBranch
85.3%3b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes32.0ms (0.2%)

Counts
80 → 3
Calls
Call 1
Inputs
(/.f64 b a)
(/.f64 c b)
(neg.f64 (/.f64 b a))
(*.f64 (/.f64 #s(literal -1 binary64) a) b)
(*.f64 (/.f64 #s(literal 1 binary64) b) c)
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(/.f64 #s(literal -1 binary64) (/.f64 a b))
(/.f64 #s(literal 1 binary64) (/.f64 b c))
(*.f64 b (/.f64 c (*.f64 b b)))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) b) a))
(/.f64 #s(literal 2 binary64) (/.f64 (*.f64 b #s(literal -2 binary64)) c))
(/.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(/.f64 (neg.f64 (*.f64 a (/.f64 c a))) b)
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a c) (*.f64 a b)))
(*.f64 a (/.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 b c)))
(*.f64 (*.f64 a c) (/.f64 #s(literal -1 binary64) (*.f64 b a)))
(*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 c (/.f64 a b)))
(*.f64 (/.f64 #s(literal 2 binary64) b) (*.f64 #s(literal 1 binary64) (/.f64 c #s(literal -2 binary64))))
(*.f64 (/.f64 a b) (*.f64 #s(literal -1 binary64) (/.f64 c a)))
(*.f64 (/.f64 (/.f64 a b) #s(literal -1 binary64)) (/.f64 c a))
(/.f64 (*.f64 c (*.f64 (/.f64 #s(literal -1 binary64) a) a)) b)
(/.f64 (*.f64 (*.f64 #s(literal -1 binary64) (/.f64 c a)) a) b)
(/.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 (*.f64 b a) c))
(/.f64 (-.f64 (/.f64 (*.f64 c a) b) b) a)
(*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a)))
(*.f64 b (/.f64 (/.f64 (*.f64 a c) (*.f64 b b)) a))
(*.f64 c (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 b (*.f64 a c))))
(*.f64 (*.f64 a c) (*.f64 (/.f64 #s(literal 2 binary64) b) (/.f64 #s(literal -1/2 binary64) a)))
(*.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 a (/.f64 #s(literal -1/2 binary64) (*.f64 a b))))
(*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (*.f64 a c)) (/.f64 #s(literal 2 binary64) b))
(*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (*.f64 c #s(literal 2 binary64)) b)) a)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 a c)) (/.f64 #s(literal -1 binary64) b))
(*.f64 (/.f64 c (/.f64 #s(literal 1/2 binary64) a)) (/.f64 #s(literal -1/2 binary64) (*.f64 a b)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) a) (/.f64 (*.f64 a c) #s(literal -1 binary64)))
(/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 b (/.f64 c (/.f64 #s(literal 1/2 binary64) a))) a))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) b) (*.f64 a (/.f64 c a))))
(/.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 a a) b)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) a) (*.f64 a b)) (*.f64 a a))
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 c a)) b) (*.f64 a #s(literal -2 binary64)))
(/.f64 (/.f64 (*.f64 a (*.f64 c #s(literal 2 binary64))) b) (*.f64 a #s(literal -2 binary64)))
(*.f64 b (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 a b) (/.f64 b c))) a))
(*.f64 b (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 a c) b) b)) a))
(*.f64 (/.f64 (-.f64 (*.f64 a c) (*.f64 b b)) a) (/.f64 #s(literal 1 binary64) b))
(/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 b #s(literal -2 binary64)) c) (*.f64 #s(literal 2 binary64) (/.f64 a b))))
(/.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 a (-.f64 (/.f64 b c) (/.f64 a b))))
(*.f64 b (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (*.f64 b b) (*.f64 c (*.f64 a a)))))
(*.f64 b (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 c (/.f64 b a))))) a))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a (+.f64 #s(literal -1 binary64) (/.f64 a (*.f64 (/.f64 b c) b)))) b))
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 a #s(literal -1/2 binary64)) (/.f64 (-.f64 (/.f64 b a) (/.f64 c b)) c)))
(/.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal 2 binary64)) b) (*.f64 b #s(literal -2 binary64))) c))
(/.f64 (/.f64 (*.f64 b (-.f64 (*.f64 a c) (*.f64 b b))) b) (*.f64 a b))
(*.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a b) (+.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 a (/.f64 b c))))))
(*.f64 c (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (/.f64 (*.f64 a c) b) b) b)) (/.f64 #s(literal -1 binary64) b)))
(/.f64 (*.f64 (+.f64 b (/.f64 c (/.f64 b (-.f64 #s(literal 0 binary64) a)))) b) (/.f64 b (/.f64 #s(literal -1 binary64) a)))
(-.f64 (*.f64 c (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (*.f64 a (/.f64 c (*.f64 b b))) b))) (/.f64 b a))
(-.f64 (*.f64 c (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (/.f64 (/.f64 (*.f64 a c) b) b) b))) (/.f64 b a))
(/.f64 (*.f64 (+.f64 a (-.f64 #s(literal 0 binary64) (/.f64 b (/.f64 c b)))) b) (/.f64 (*.f64 a (*.f64 b b)) c))
(/.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 b (*.f64 c (+.f64 a (/.f64 (/.f64 (*.f64 a (*.f64 a c)) b) b)))))
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 a #s(literal -1/2 binary64)) (/.f64 b (*.f64 c (+.f64 a (/.f64 (/.f64 (*.f64 a (*.f64 a c)) b) b))))))
(/.f64 (+.f64 b (*.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64))) b)) #s(literal -1 binary64)))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (+.f64 b (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 b b))))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (/.f64 (/.f64 a #s(literal 2 binary64)) b) (*.f64 a (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) c) #s(literal -1/2 binary64)) (/.f64 a (/.f64 b (/.f64 #s(literal 1/2 binary64) b))))))
(*.f64 (/.f64 a #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 a (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) c) #s(literal -1/2 binary64)) (/.f64 a (/.f64 b (/.f64 #s(literal 1/2 binary64) b))))))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 a (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) c) #s(literal -1/2 binary64)) (/.f64 a (/.f64 b (/.f64 #s(literal 1/2 binary64) b)))))) (/.f64 #s(literal -1/2 binary64) b))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) a) (*.f64 b (*.f64 a (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) c) #s(literal -1/2 binary64)) (/.f64 a (/.f64 b (/.f64 #s(literal 1/2 binary64) b))))))))
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 b (/.f64 c b))) (*.f64 (/.f64 a b) b)) (*.f64 (/.f64 a b) (/.f64 b (/.f64 c b))))
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 c a) (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)))) b) (*.f64 a #s(literal -2 binary64)))
(/.f64 (*.f64 (*.f64 a a) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (/.f64 (/.f64 (*.f64 c c) b) b) b) (/.f64 c (*.f64 b a))))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 #s(literal -2 binary64) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a c)) (*.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (*.f64 a a) b)))))))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (+.f64 b (*.f64 (*.f64 c #s(literal -2 binary64)) (+.f64 (/.f64 a b) (/.f64 (*.f64 a (*.f64 a c)) (*.f64 b (*.f64 b b))))))))
(/.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 #s(literal -2 binary64) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a c)) (*.f64 (/.f64 #s(literal 1/2 binary64) b) (*.f64 (/.f64 a (/.f64 #s(literal 1 binary64) a)) (/.f64 #s(literal 1 binary64) b))))))))
(/.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 #s(literal -2 binary64) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a c)) (*.f64 (/.f64 (*.f64 a (/.f64 a #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) b) (-.f64 #s(literal 0 binary64) b))))))))
(/.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 #s(literal -2 binary64) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 (+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 b a) a)) (/.f64 c a)) (*.f64 b #s(literal -1/2 binary64))) (*.f64 b (/.f64 c a)))))))
(/.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 #s(literal -2 binary64) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 (+.f64 (*.f64 (/.f64 a #s(literal -2 binary64)) (*.f64 (/.f64 (/.f64 b a) a) b)) (*.f64 c #s(literal 1/2 binary64))) (*.f64 c (*.f64 (/.f64 (/.f64 b a) a) 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 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c)))) a))
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:

23.0ms
b
Results
AccuracySegmentsBranch
82.4%3b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes33.0ms (0.2%)

Counts
78 → 3
Calls
Call 1
Inputs
(/.f64 b a)
(/.f64 c b)
(neg.f64 (/.f64 b a))
(*.f64 (/.f64 #s(literal -1 binary64) a) b)
(*.f64 (/.f64 #s(literal 1 binary64) b) c)
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(/.f64 #s(literal -1 binary64) (/.f64 a b))
(/.f64 #s(literal 1 binary64) (/.f64 b c))
(*.f64 b (/.f64 c (*.f64 b b)))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) b) a))
(/.f64 #s(literal 2 binary64) (/.f64 (*.f64 b #s(literal -2 binary64)) c))
(/.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(/.f64 (neg.f64 (*.f64 a (/.f64 c a))) b)
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a c) (*.f64 a b)))
(*.f64 a (/.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 b c)))
(*.f64 (*.f64 a c) (/.f64 #s(literal -1 binary64) (*.f64 b a)))
(*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 c (/.f64 a b)))
(*.f64 (/.f64 #s(literal 2 binary64) b) (*.f64 #s(literal 1 binary64) (/.f64 c #s(literal -2 binary64))))
(*.f64 (/.f64 a b) (*.f64 #s(literal -1 binary64) (/.f64 c a)))
(*.f64 (/.f64 (/.f64 a b) #s(literal -1 binary64)) (/.f64 c a))
(/.f64 (*.f64 c (*.f64 (/.f64 #s(literal -1 binary64) a) a)) b)
(/.f64 (*.f64 (*.f64 #s(literal -1 binary64) (/.f64 c a)) a) b)
(/.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 (*.f64 b a) c))
(/.f64 (-.f64 (/.f64 (*.f64 c a) b) b) a)
(*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a)))
(*.f64 b (/.f64 (/.f64 (*.f64 a c) (*.f64 b b)) a))
(*.f64 c (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 b (*.f64 a c))))
(*.f64 (*.f64 a c) (*.f64 (/.f64 #s(literal 2 binary64) b) (/.f64 #s(literal -1/2 binary64) a)))
(*.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 a (/.f64 #s(literal -1/2 binary64) (*.f64 a b))))
(*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (*.f64 a c)) (/.f64 #s(literal 2 binary64) b))
(*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (*.f64 c #s(literal 2 binary64)) b)) a)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 a c)) (/.f64 #s(literal -1 binary64) b))
(*.f64 (/.f64 c (/.f64 #s(literal 1/2 binary64) a)) (/.f64 #s(literal -1/2 binary64) (*.f64 a b)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) a) (/.f64 (*.f64 a c) #s(literal -1 binary64)))
(/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 b (/.f64 c (/.f64 #s(literal 1/2 binary64) a))) a))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) b) (*.f64 a (/.f64 c a))))
(/.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 a a) b)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) a) (*.f64 a b)) (*.f64 a a))
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 c a)) b) (*.f64 a #s(literal -2 binary64)))
(/.f64 (/.f64 (*.f64 a (*.f64 c #s(literal 2 binary64))) b) (*.f64 a #s(literal -2 binary64)))
(*.f64 b (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 a b) (/.f64 b c))) a))
(*.f64 b (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 a c) b) b)) a))
(*.f64 (/.f64 (-.f64 (*.f64 a c) (*.f64 b b)) a) (/.f64 #s(literal 1 binary64) b))
(/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 b #s(literal -2 binary64)) c) (*.f64 #s(literal 2 binary64) (/.f64 a b))))
(/.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 a (-.f64 (/.f64 b c) (/.f64 a b))))
(*.f64 b (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (*.f64 b b) (*.f64 c (*.f64 a a)))))
(*.f64 b (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 c (/.f64 b a))))) a))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a (+.f64 #s(literal -1 binary64) (/.f64 a (*.f64 (/.f64 b c) b)))) b))
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 a #s(literal -1/2 binary64)) (/.f64 (-.f64 (/.f64 b a) (/.f64 c b)) c)))
(/.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal 2 binary64)) b) (*.f64 b #s(literal -2 binary64))) c))
(/.f64 (/.f64 (*.f64 b (-.f64 (*.f64 a c) (*.f64 b b))) b) (*.f64 a b))
(*.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a b) (+.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 a (/.f64 b c))))))
(*.f64 c (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (/.f64 (*.f64 a c) b) b) b)) (/.f64 #s(literal -1 binary64) b)))
(/.f64 (*.f64 (+.f64 b (/.f64 c (/.f64 b (-.f64 #s(literal 0 binary64) a)))) b) (/.f64 b (/.f64 #s(literal -1 binary64) a)))
(-.f64 (*.f64 c (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (*.f64 a (/.f64 c (*.f64 b b))) b))) (/.f64 b a))
(-.f64 (*.f64 c (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (/.f64 (/.f64 (*.f64 a c) b) b) b))) (/.f64 b a))
(/.f64 (*.f64 (+.f64 a (-.f64 #s(literal 0 binary64) (/.f64 b (/.f64 c b)))) b) (/.f64 (*.f64 a (*.f64 b b)) c))
(/.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 b (*.f64 c (+.f64 a (/.f64 (/.f64 (*.f64 a (*.f64 a c)) b) b)))))
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 a #s(literal -1/2 binary64)) (/.f64 b (*.f64 c (+.f64 a (/.f64 (/.f64 (*.f64 a (*.f64 a c)) b) b))))))
(/.f64 (+.f64 b (*.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64))) b)) #s(literal -1 binary64)))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (+.f64 b (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 b b))))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (/.f64 (/.f64 a #s(literal 2 binary64)) b) (*.f64 a (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) c) #s(literal -1/2 binary64)) (/.f64 a (/.f64 b (/.f64 #s(literal 1/2 binary64) b))))))
(*.f64 (/.f64 a #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 a (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) c) #s(literal -1/2 binary64)) (/.f64 a (/.f64 b (/.f64 #s(literal 1/2 binary64) b))))))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 a (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) c) #s(literal -1/2 binary64)) (/.f64 a (/.f64 b (/.f64 #s(literal 1/2 binary64) b)))))) (/.f64 #s(literal -1/2 binary64) b))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) a) (*.f64 b (*.f64 a (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) c) #s(literal -1/2 binary64)) (/.f64 a (/.f64 b (/.f64 #s(literal 1/2 binary64) b))))))))
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 b (/.f64 c b))) (*.f64 (/.f64 a b) b)) (*.f64 (/.f64 a b) (/.f64 b (/.f64 c b))))
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 c a) (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)))) b) (*.f64 a #s(literal -2 binary64)))
(/.f64 (*.f64 (*.f64 a a) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (/.f64 (/.f64 (*.f64 c c) b) b) b) (/.f64 c (*.f64 b a))))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 #s(literal -2 binary64) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a c)) (*.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (*.f64 a a) b)))))))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (+.f64 b (*.f64 (*.f64 c #s(literal -2 binary64)) (+.f64 (/.f64 a b) (/.f64 (*.f64 a (*.f64 a c)) (*.f64 b (*.f64 b b))))))))
(/.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 #s(literal -2 binary64) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a c)) (*.f64 (/.f64 #s(literal 1/2 binary64) b) (*.f64 (/.f64 a (/.f64 #s(literal 1 binary64) a)) (/.f64 #s(literal 1 binary64) b))))))))
(/.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 #s(literal -2 binary64) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a c)) (*.f64 (/.f64 (*.f64 a (/.f64 a #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) b) (-.f64 #s(literal 0 binary64) b))))))))
(/.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 #s(literal -2 binary64) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 (+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 b a) a)) (/.f64 c a)) (*.f64 b #s(literal -1/2 binary64))) (*.f64 b (/.f64 c a)))))))
(/.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 #s(literal -2 binary64) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 (+.f64 (*.f64 (/.f64 a #s(literal -2 binary64)) (*.f64 (/.f64 (/.f64 b a) a) b)) (*.f64 c #s(literal 1/2 binary64))) (*.f64 c (*.f64 (/.f64 (/.f64 b a) a) 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 (/.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:

23.0ms
b
Results
AccuracySegmentsBranch
82.3%3b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes26.0ms (0.2%)

Counts
76 → 2
Calls
Call 1
Inputs
(/.f64 b a)
(/.f64 c b)
(neg.f64 (/.f64 b a))
(*.f64 (/.f64 #s(literal -1 binary64) a) b)
(*.f64 (/.f64 #s(literal 1 binary64) b) c)
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(/.f64 #s(literal -1 binary64) (/.f64 a b))
(/.f64 #s(literal 1 binary64) (/.f64 b c))
(*.f64 b (/.f64 c (*.f64 b b)))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) b) a))
(/.f64 #s(literal 2 binary64) (/.f64 (*.f64 b #s(literal -2 binary64)) c))
(/.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(/.f64 (neg.f64 (*.f64 a (/.f64 c a))) b)
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a c) (*.f64 a b)))
(*.f64 a (/.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 b c)))
(*.f64 (*.f64 a c) (/.f64 #s(literal -1 binary64) (*.f64 b a)))
(*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 c (/.f64 a b)))
(*.f64 (/.f64 #s(literal 2 binary64) b) (*.f64 #s(literal 1 binary64) (/.f64 c #s(literal -2 binary64))))
(*.f64 (/.f64 a b) (*.f64 #s(literal -1 binary64) (/.f64 c a)))
(*.f64 (/.f64 (/.f64 a b) #s(literal -1 binary64)) (/.f64 c a))
(/.f64 (*.f64 c (*.f64 (/.f64 #s(literal -1 binary64) a) a)) b)
(/.f64 (*.f64 (*.f64 #s(literal -1 binary64) (/.f64 c a)) a) b)
(/.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 (*.f64 b a) c))
(/.f64 (-.f64 (/.f64 (*.f64 c a) b) b) a)
(*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a)))
(*.f64 b (/.f64 (/.f64 (*.f64 a c) (*.f64 b b)) a))
(*.f64 c (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 b (*.f64 a c))))
(*.f64 (*.f64 a c) (*.f64 (/.f64 #s(literal 2 binary64) b) (/.f64 #s(literal -1/2 binary64) a)))
(*.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 a (/.f64 #s(literal -1/2 binary64) (*.f64 a b))))
(*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (*.f64 a c)) (/.f64 #s(literal 2 binary64) b))
(*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (*.f64 c #s(literal 2 binary64)) b)) a)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 a c)) (/.f64 #s(literal -1 binary64) b))
(*.f64 (/.f64 c (/.f64 #s(literal 1/2 binary64) a)) (/.f64 #s(literal -1/2 binary64) (*.f64 a b)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) a) (/.f64 (*.f64 a c) #s(literal -1 binary64)))
(/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 b (/.f64 c (/.f64 #s(literal 1/2 binary64) a))) a))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) b) (*.f64 a (/.f64 c a))))
(/.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 a a) b)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) a) (*.f64 a b)) (*.f64 a a))
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 c a)) b) (*.f64 a #s(literal -2 binary64)))
(/.f64 (/.f64 (*.f64 a (*.f64 c #s(literal 2 binary64))) b) (*.f64 a #s(literal -2 binary64)))
(*.f64 b (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 a b) (/.f64 b c))) a))
(*.f64 b (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 a c) b) b)) a))
(*.f64 (/.f64 (-.f64 (*.f64 a c) (*.f64 b b)) a) (/.f64 #s(literal 1 binary64) b))
(/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 b #s(literal -2 binary64)) c) (*.f64 #s(literal 2 binary64) (/.f64 a b))))
(/.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 a (-.f64 (/.f64 b c) (/.f64 a b))))
(*.f64 b (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (*.f64 b b) (*.f64 c (*.f64 a a)))))
(*.f64 b (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 c (/.f64 b a))))) a))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a (+.f64 #s(literal -1 binary64) (/.f64 a (*.f64 (/.f64 b c) b)))) b))
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 a #s(literal -1/2 binary64)) (/.f64 (-.f64 (/.f64 b a) (/.f64 c b)) c)))
(/.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal 2 binary64)) b) (*.f64 b #s(literal -2 binary64))) c))
(/.f64 (/.f64 (*.f64 b (-.f64 (*.f64 a c) (*.f64 b b))) b) (*.f64 a b))
(*.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a b) (+.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 a (/.f64 b c))))))
(*.f64 c (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (/.f64 (*.f64 a c) b) b) b)) (/.f64 #s(literal -1 binary64) b)))
(/.f64 (*.f64 (+.f64 b (/.f64 c (/.f64 b (-.f64 #s(literal 0 binary64) a)))) b) (/.f64 b (/.f64 #s(literal -1 binary64) a)))
(-.f64 (*.f64 c (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (*.f64 a (/.f64 c (*.f64 b b))) b))) (/.f64 b a))
(-.f64 (*.f64 c (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (/.f64 (/.f64 (*.f64 a c) b) b) b))) (/.f64 b a))
(/.f64 (*.f64 (+.f64 a (-.f64 #s(literal 0 binary64) (/.f64 b (/.f64 c b)))) b) (/.f64 (*.f64 a (*.f64 b b)) c))
(/.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 b (*.f64 c (+.f64 a (/.f64 (/.f64 (*.f64 a (*.f64 a c)) b) b)))))
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 a #s(literal -1/2 binary64)) (/.f64 b (*.f64 c (+.f64 a (/.f64 (/.f64 (*.f64 a (*.f64 a c)) b) b))))))
(/.f64 (+.f64 b (*.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64))) b)) #s(literal -1 binary64)))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (+.f64 b (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 b b))))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (/.f64 (/.f64 a #s(literal 2 binary64)) b) (*.f64 a (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) c) #s(literal -1/2 binary64)) (/.f64 a (/.f64 b (/.f64 #s(literal 1/2 binary64) b))))))
(*.f64 (/.f64 a #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 a (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) c) #s(literal -1/2 binary64)) (/.f64 a (/.f64 b (/.f64 #s(literal 1/2 binary64) b))))))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 a (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) c) #s(literal -1/2 binary64)) (/.f64 a (/.f64 b (/.f64 #s(literal 1/2 binary64) b)))))) (/.f64 #s(literal -1/2 binary64) b))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) a) (*.f64 b (*.f64 a (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) c) #s(literal -1/2 binary64)) (/.f64 a (/.f64 b (/.f64 #s(literal 1/2 binary64) b))))))))
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 b (/.f64 c b))) (*.f64 (/.f64 a b) b)) (*.f64 (/.f64 a b) (/.f64 b (/.f64 c b))))
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 c a) (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)))) b) (*.f64 a #s(literal -2 binary64)))
(/.f64 (*.f64 (*.f64 a a) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (/.f64 (/.f64 (*.f64 c c) b) b) b) (/.f64 c (*.f64 b a))))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 #s(literal -2 binary64) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a c)) (*.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (*.f64 a a) b)))))))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (+.f64 b (*.f64 (*.f64 c #s(literal -2 binary64)) (+.f64 (/.f64 a b) (/.f64 (*.f64 a (*.f64 a c)) (*.f64 b (*.f64 b b))))))))
(/.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 #s(literal -2 binary64) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a c)) (*.f64 (/.f64 #s(literal 1/2 binary64) b) (*.f64 (/.f64 a (/.f64 #s(literal 1 binary64) a)) (/.f64 #s(literal 1 binary64) b))))))))
(/.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 #s(literal -2 binary64) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a c)) (*.f64 (/.f64 (*.f64 a (/.f64 a #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) b) (-.f64 #s(literal 0 binary64) b))))))))
(/.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 #s(literal -2 binary64) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 (+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 b a) a)) (/.f64 c a)) (*.f64 b #s(literal -1/2 binary64))) (*.f64 b (/.f64 c a)))))))
(/.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 #s(literal -2 binary64) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 (+.f64 (*.f64 (/.f64 a #s(literal -2 binary64)) (*.f64 (/.f64 (/.f64 b a) a) b)) (*.f64 c #s(literal 1/2 binary64))) (*.f64 c (*.f64 (/.f64 (/.f64 b a) a) b)))))))
Outputs
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
Calls

1 calls:

22.0ms
b
Results
AccuracySegmentsBranch
66.8%2b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes4.0ms (0%)

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

1 calls:

4.0ms
b
Results
AccuracySegmentsBranch
66.4%2b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes11.0ms (0.1%)

Counts
6 → 2
Calls
Call 1
Inputs
(/.f64 b a)
(/.f64 c b)
(neg.f64 (/.f64 b a))
(*.f64 (/.f64 #s(literal -1 binary64) a) b)
(*.f64 (/.f64 #s(literal 1 binary64) b) c)
(-.f64 #s(literal 0 binary64) (/.f64 b a))
Outputs
(/.f64 c b)
(neg.f64 (/.f64 b a))
Calls

3 calls:

5.0ms
a
3.0ms
b
3.0ms
c
Results
AccuracySegmentsBranch
32.1%1c
32.1%1a
38.3%2b
Compiler

Compiled 12 to 9 computations (25% saved)

regimes5.0ms (0%)

Counts
2 → 1
Calls
Call 1
Inputs
(/.f64 b a)
(/.f64 c b)
Outputs
(/.f64 c b)
Calls

3 calls:

2.0ms
b
2.0ms
a
2.0ms
c
Results
AccuracySegmentsBranch
9.0%1c
9.0%1a
9.0%1b
Compiler

Compiled 12 to 9 computations (25% saved)

regimes4.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

3 calls:

1.0ms
b
1.0ms
c
1.0ms
a
Results
AccuracySegmentsBranch
2.7%1a
2.7%1c
2.7%1b
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch66.0ms (0.4%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
22.0ms
1.9968606270922353e-46
6.418449681114905e-41
37.0ms
-2.048830463713178e-46
-2.705316786715283e-49
Results
21.0ms212×0valid
9.0ms28×2valid
7.0ms32×1valid
6.0ms54×0invalid
Compiler

Compiled 654 to 466 computations (28.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-mult: 11.0ms (40.7% of total)
ival-sub: 5.0ms (18.5% of total)
ival-div: 3.0ms (11.1% of total)
ival-sqrt: 3.0ms (11.1% of total)
backward-pass: 2.0ms (7.4% of total)
ival-neg: 2.0ms (7.4% of total)
const: 1.0ms (3.7% of total)

bsearch61.0ms (0.4%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
17.0ms
6.397907359229107e+50
2.94441896437669e+52
36.0ms
-2.048830463713178e-46
-2.705316786715283e-49
Results
19.0ms182×0valid
9.0ms27×2valid
9.0ms54×0invalid
8.0ms31×1valid
Compiler

Compiled 475 to 334 computations (29.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-mult: 14.0ms (49.2% of total)
ival-sub: 4.0ms (14.1% of total)
ival-div: 3.0ms (10.5% of total)
ival-sqrt: 3.0ms (10.5% of total)
backward-pass: 2.0ms (7% of total)
ival-neg: 2.0ms (7% of total)
const: 1.0ms (3.5% of total)

bsearch59.0ms (0.4%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
20.0ms
6.397907359229107e+50
2.94441896437669e+52
33.0ms
-2.048830463713178e-46
-2.705316786715283e-49
Results
24.0ms179×0valid
10.0ms31×2valid
6.0ms30×1valid
3.0ms35×0invalid
Compiler

Compiled 475 to 334 computations (29.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-mult: 9.0ms (38.6% of total)
ival-sub: 4.0ms (17.2% of total)
ival-div: 3.0ms (12.9% of total)
ival-sqrt: 3.0ms (12.9% of total)
backward-pass: 2.0ms (8.6% of total)
ival-neg: 2.0ms (8.6% of total)
const: 1.0ms (4.3% of total)

bsearch54.0ms (0.4%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
17.0ms
3.1743603857585614e-6
1.4235315730411533e-5
31.0ms
-2.048830463713178e-46
-2.705316786715283e-49
Results
20.0ms174×0valid
10.0ms31×2valid
7.0ms19×1valid
4.0ms41×0invalid
Compiler

Compiled 388 to 285 computations (26.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-mult: 11.0ms (45% of total)
ival-sub: 4.0ms (16.4% of total)
ival-div: 3.0ms (12.3% of total)
ival-sqrt: 3.0ms (12.3% of total)
ival-neg: 2.0ms (8.2% of total)
backward-pass: 1.0ms (4.1% of total)
const: 1.0ms (4.1% of total)

bsearch63.0ms (0.4%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
16.0ms
3.1743603857585614e-6
1.4235315730411533e-5
41.0ms
-2.048830463713178e-46
-2.705316786715283e-49
Results
16.0ms163×0valid
10.0ms30×2valid
9.0ms31×1valid
3.0ms33×0invalid
Compiler

Compiled 388 to 285 computations (26.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-mult: 9.0ms (40.2% of total)
ival-sub: 4.0ms (17.9% of total)
ival-div: 3.0ms (13.4% of total)
ival-sqrt: 3.0ms (13.4% of total)
backward-pass: 2.0ms (8.9% of total)
ival-neg: 2.0ms (8.9% of total)
const: 1.0ms (4.5% of total)

bsearch35.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
31.0ms
-2.721055221397553e-302
3.743394064078613e-304
Results
18.0ms160×0valid
6.0ms62×0invalid
Compiler

Compiled 226 to 159 computations (29.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-mult: 6.0ms (38.1% of total)
ival-sub: 5.0ms (31.7% of total)
ival-div: 2.0ms (12.7% of total)
ival-sqrt: 2.0ms (12.7% of total)
ival-neg: 1.0ms (6.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch50.0ms (0.3%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
44.0ms
-2.721055221397553e-302
3.743394064078613e-304
Results
18.0ms86×0invalid
16.0ms160×0valid
Compiler

Compiled 196 to 149 computations (24% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-mult: 16.0ms (66.3% of total)
ival-sub: 2.0ms (8.3% of total)
ival-div: 2.0ms (8.3% of total)
ival-sqrt: 2.0ms (8.3% of total)
ival-neg: 1.0ms (4.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch38.0ms (0.3%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
34.0ms
-2.9581157880744155e+66
-1.9329981689431002e+62
Results
17.0ms51×2valid
9.0ms42×1valid
4.0ms35×0valid
1.0ms6×0invalid
Compiler

Compiled 146 to 107 computations (26.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-mult: 8.0ms (40.6% of total)
ival-sub: 3.0ms (15.2% of total)
ival-div: 2.0ms (10.2% of total)
ival-sqrt: 2.0ms (10.2% of total)
backward-pass: 2.0ms (10.2% of total)
ival-neg: 2.0ms (10.2% of total)
const: 0.0ms (0% of total)

simplify14.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
076224
1103224
2115224
3123224
4127224
5128224
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 b #s(literal -6252917317820583/3291009114642412084309938365114701009965471731267159726697218048 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (if (<=.f64 b #s(literal 6277101735386681/98079714615416886934934209737619787751599303819750539264 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 b (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) (/.f64 (/.f64 b (/.f64 c b)) a)))) b)) (*.f64 a #s(literal -2 binary64)))))
(if (<=.f64 b #s(literal -5594715494892101/3291009114642412084309938365114701009965471731267159726697218048 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (if (<=.f64 b #s(literal 10999999999999999925430435417977907741078792861384704 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 -8474348470204211/411376139330301510538742295639337626245683966408394965837152256 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (if (<=.f64 b #s(literal 28999999999999999803407511556487211317389544816377856 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 -1875875195346175/1645504557321206042154969182557350504982735865633579863348609024 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (if (<=.f64 b #s(literal 944473296573929/295147905179352825856 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 -1357541259789995/822752278660603021077484591278675252491367932816789931674304512 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (if (<=.f64 b #s(literal 4722366482869645/590295810358705651712 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 -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (neg.f64 (/.f64 b a)))
(if (<=.f64 b #s(literal -194999999999999999407601385518172905936769578569333350739214336 binary64)) (/.f64 c b) (neg.f64 (/.f64 b a)))
(/.f64 c b)
(/.f64 b a)
Outputs
(if (<=.f64 b #s(literal -6252917317820583/3291009114642412084309938365114701009965471731267159726697218048 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (if (<=.f64 b #s(literal 6277101735386681/98079714615416886934934209737619787751599303819750539264 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 b (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) (/.f64 (/.f64 b (/.f64 c b)) a)))) b)) (*.f64 a #s(literal -2 binary64)))))
(if (<=.f64 b #s(literal -6252917317820583/3291009114642412084309938365114701009965471731267159726697218048 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (if (<=.f64 b #s(literal 6277101735386681/98079714615416886934934209737619787751599303819750539264 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 b (*.f64 b (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) (/.f64 (/.f64 b (/.f64 c b)) a)))))) (*.f64 a #s(literal -2 binary64)))))
(if (<=.f64 b #s(literal -5594715494892101/3291009114642412084309938365114701009965471731267159726697218048 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (if (<=.f64 b #s(literal 10999999999999999925430435417977907741078792861384704 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 -8474348470204211/411376139330301510538742295639337626245683966408394965837152256 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (if (<=.f64 b #s(literal 28999999999999999803407511556487211317389544816377856 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 -8474348470204211/411376139330301510538742295639337626245683966408394965837152256 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (if (<=.f64 b #s(literal 28999999999999999803407511556487211317389544816377856 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 -1875875195346175/1645504557321206042154969182557350504982735865633579863348609024 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (if (<=.f64 b #s(literal 944473296573929/295147905179352825856 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 -1357541259789995/822752278660603021077484591278675252491367932816789931674304512 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (if (<=.f64 b #s(literal 4722366482869645/590295810358705651712 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 -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (neg.f64 (/.f64 b a)))
(if (<=.f64 b #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (/.f64 b (-.f64 #s(literal 0 binary64) a)))
(if (<=.f64 b #s(literal -194999999999999999407601385518172905936769578569333350739214336 binary64)) (/.f64 c b) (neg.f64 (/.f64 b a)))
(if (<=.f64 b #s(literal -194999999999999999407601385518172905936769578569333350739214336 binary64)) (/.f64 c b) (/.f64 b (-.f64 #s(literal 0 binary64) a)))
(/.f64 c b)
(/.f64 b a)

soundness3.1s (20.5%)

Rules
6346×*-lowering-*.f32
6346×*-lowering-*.f64
6336×*-lowering-*.f32
6336×*-lowering-*.f64
6118×*-lowering-*.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
05062937
117082730
263332683
080432683
01416
13916
210115
327014
449414
5100314
6316114
7580614
8644214
9737214
10753714
11757714
12758314
0758314
041215
1178198
21026184
08004184
012109533
142738647
082998647
0149610745
153189865
083009865
06159394
120998390
273458272
083198272
01343
13639
211839
344339
4184539
5681839
0830739
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×saturated
1×iter limit
1×node limit
Compiler

Compiled 615 to 360 computations (41.5% saved)

preprocess105.0ms (0.7%)

Compiler

Compiled 728 to 238 computations (67.3% saved)

end0.0ms (0%)

Profiling

Loading profile data...